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],"edges":[[0,1,34],[0,2,53],[0,3,83],[0,4,94],[1,3,17],[1,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,53],[0,3,83],[0,4,94],[1,3,17],[1,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,53],[0,3,83],[0,4,94],[1,3,17],[1,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,53],[0,3,83],[0,4,94],[1,3,17],[1,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (1,3)=17, w=22\",\"Add (0,1)=34, w=56\",\"Add (0,2)=53, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,53],[0,3,83],[0,4,94],[1,3,17],[1,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (1,3)=17 Succeeded, w=22\",\"Add (0,1)=34 Succeeded, w=56\",\"Add (0,2)=53 Succeeded, w=109\",\"Add (0,3)=83 Failed, w=109\",\"Add (0,4)=94 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,53],[0,3,83],[0,4,94],[1,3,17],[1,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,3)=17,(0,1)=34,(0,2)=53,(0,3)=83,(0,4)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=56\",\"Find(0)=1, Find(2)=2, Add (0,2)=53 Succeeded, w=109\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=109\",\"Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,53],[0,3,83],[0,4,94],[1,3,17],[1,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,3)=17,(0,1)=34,(0,2)=53,(0,3)=83,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=53 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,79],[0,3,98],[0,4,87],[0,7,81],[1,2,19],[1,3,3],[1,4,2],[1,5,19],[2,3,31],[2,5,43],[2,6,92],[2,7,51],[3,5,39],[3,7,8],[4,6,73],[5,6,13],[5,7,20],[6,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,79],[0,3,98],[0,4,87],[0,7,81],[1,2,19],[1,3,3],[1,4,2],[1,5,19],[2,3,31],[2,5,43],[2,6,92],[2,7,51],[3,5,39],[3,7,8],[4,6,73],[5,6,13],[5,7,20],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,79],[0,3,98],[0,4,87],[0,7,81],[1,2,19],[1,3,3],[1,4,2],[1,5,19],[2,3,31],[2,5,43],[2,6,92],[2,7,51],[3,5,39],[3,7,8],[4,6,73],[5,6,13],[5,7,20],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (3,7)\",\"Add (5,6)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (0,2)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,79],[0,3,98],[0,4,87],[0,7,81],[1,2,19],[1,3,3],[1,4,2],[1,5,19],[2,3,31],[2,5,43],[2,6,92],[2,7,51],[3,5,39],[3,7,8],[4,6,73],[5,6,13],[5,7,20],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (1,3)=3, w=5\",\"Add (3,7)=8, w=13\",\"Add (5,6)=13, w=26\",\"Add (1,2)=19, w=45\",\"Add (1,5)=19, w=64\",\"Add (0,2)=79, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,79],[0,3,98],[0,4,87],[0,7,81],[1,2,19],[1,3,3],[1,4,2],[1,5,19],[2,3,31],[2,5,43],[2,6,92],[2,7,51],[3,5,39],[3,7,8],[4,6,73],[5,6,13],[5,7,20],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (1,3)=3 Succeeded, w=5\",\"Add (3,7)=8 Succeeded, w=13\",\"Add (5,6)=13 Succeeded, w=26\",\"Add (1,2)=19 Succeeded, w=45\",\"Add (1,5)=19 Succeeded, w=64\",\"Add (5,7)=20 Failed, w=64\",\"Add (2,3)=31 Failed, w=64\",\"Add (3,5)=39 Failed, w=64\",\"Add (2,5)=43 Failed, w=64\",\"Add (2,7)=51 Failed, w=64\",\"Add (4,6)=73 Failed, w=64\",\"Add (0,2)=79 Succeeded, w=143\",\"Add (0,7)=81 Failed, w=143\",\"Add (6,7)=84 Failed, w=143\",\"Add (0,4)=87 Failed, w=143\",\"Add (2,6)=92 Failed, w=143\",\"Add (0,3)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,79],[0,3,98],[0,4,87],[0,7,81],[1,2,19],[1,3,3],[1,4,2],[1,5,19],[2,3,31],[2,5,43],[2,6,92],[2,7,51],[3,5,39],[3,7,8],[4,6,73],[5,6,13],[5,7,20],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,3)=3,(3,7)=8,(5,6)=13,(1,2)=19,(1,5)=19,(5,7)=20,(2,3)=31,(3,5)=39,(2,5)=43,(2,7)=51,(4,6)=73,(0,2)=79,(0,7)=81,(6,7)=84,(0,4)=87,(2,6)=92,(0,3)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Find(3)=1, Find(7)=7, Add (3,7)=8 Succeeded, w=13\",\"Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=45\",\"Find(1)=1, Find(5)=5, Add (1,5)=19 Succeeded, w=64\",\"Find(5)=1, Find(7)=1, Add (5,7)=20 Failed, w=64\",\"Find(2)=1, Find(3)=1, Add (2,3)=31 Failed, w=64\",\"Find(3)=1, Find(5)=1, Add (3,5)=39 Failed, w=64\",\"Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=64\",\"Find(2)=1, Find(7)=1, Add (2,7)=51 Failed, w=64\",\"Find(4)=1, Find(6)=1, Add (4,6)=73 Failed, w=64\",\"Find(0)=0, Find(2)=1, Add (0,2)=79 Succeeded, w=143\",\"Find(0)=1, Find(7)=1, Add (0,7)=81 Failed, w=143\",\"Find(6)=1, Find(7)=1, Add (6,7)=84 Failed, w=143\",\"Find(0)=1, Find(4)=1, Add (0,4)=87 Failed, w=143\",\"Find(2)=1, Find(6)=1, Add (2,6)=92 Failed, w=143\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,79],[0,3,98],[0,4,87],[0,7,81],[1,2,19],[1,3,3],[1,4,2],[1,5,19],[2,3,31],[2,5,43],[2,6,92],[2,7,51],[3,5,39],[3,7,8],[4,6,73],[5,6,13],[5,7,20],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,3)=3,(3,7)=8,(5,6)=13,(1,2)=19,(1,5)=19,(5,7)=20,(2,3)=31,(3,5)=39,(2,5)=43,(2,7)=51,(4,6)=73,(0,2)=79,(0,7)=81,(6,7)=84,(0,4)=87,(2,6)=92,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5, 7: 1}, Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 5, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=19 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=20 Failed, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=31 Failed, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=39 Failed, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=51 Failed, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=73 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=79 Succeeded, w=143\",\"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)=81 Failed, w=143\",\"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)=84 Failed, w=143\",\"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)=87 Failed, w=143\",\"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)=92 Failed, w=143\",\"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)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,67],[0,2,20],[0,4,54],[0,5,49],[1,2,22],[1,3,61],[1,4,29],[1,5,55],[2,3,98],[2,4,3],[2,5,37],[3,4,73],[3,5,74],[4,5,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,20],[0,4,54],[0,5,49],[1,2,22],[1,3,61],[1,4,29],[1,5,55],[2,3,98],[2,4,3],[2,5,37],[3,4,73],[3,5,74],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,20],[0,4,54],[0,5,49],[1,2,22],[1,3,61],[1,4,29],[1,5,55],[2,3,98],[2,4,3],[2,5,37],[3,4,73],[3,5,74],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,20],[0,4,54],[0,5,49],[1,2,22],[1,3,61],[1,4,29],[1,5,55],[2,3,98],[2,4,3],[2,5,37],[3,4,73],[3,5,74],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (4,5)=14, w=17\",\"Add (0,2)=20, w=37\",\"Add (1,2)=22, w=59\",\"Add (1,3)=61, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,20],[0,4,54],[0,5,49],[1,2,22],[1,3,61],[1,4,29],[1,5,55],[2,3,98],[2,4,3],[2,5,37],[3,4,73],[3,5,74],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (4,5)=14 Succeeded, w=17\",\"Add (0,2)=20 Succeeded, w=37\",\"Add (1,2)=22 Succeeded, w=59\",\"Add (1,4)=29 Failed, w=59\",\"Add (2,5)=37 Failed, w=59\",\"Add (0,5)=49 Failed, w=59\",\"Add (0,4)=54 Failed, w=59\",\"Add (1,5)=55 Failed, w=59\",\"Add (1,3)=61 Succeeded, w=120\",\"Add (0,1)=67 Failed, w=120\",\"Add (3,4)=73 Failed, w=120\",\"Add (3,5)=74 Failed, w=120\",\"Add (2,3)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,20],[0,4,54],[0,5,49],[1,2,22],[1,3,61],[1,4,29],[1,5,55],[2,3,98],[2,4,3],[2,5,37],[3,4,73],[3,5,74],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(4,5)=14,(0,2)=20,(1,2)=22,(1,4)=29,(2,5)=37,(0,5)=49,(0,4)=54,(1,5)=55,(1,3)=61,(0,1)=67,(3,4)=73,(3,5)=74,(2,3)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(4)=2, Find(5)=5, Add (4,5)=14 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=37\",\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=59\",\"Find(1)=2, Find(4)=2, Add (1,4)=29 Failed, w=59\",\"Find(2)=2, Find(5)=2, Add (2,5)=37 Failed, w=59\",\"Find(0)=2, Find(5)=2, Add (0,5)=49 Failed, w=59\",\"Find(0)=2, Find(4)=2, Add (0,4)=54 Failed, w=59\",\"Find(1)=2, Find(5)=2, Add (1,5)=55 Failed, w=59\",\"Find(1)=2, Find(3)=3, Add (1,3)=61 Succeeded, w=120\",\"Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=120\",\"Find(3)=2, Find(4)=2, Add (3,4)=73 Failed, w=120\",\"Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=120\",\"Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,20],[0,4,54],[0,5,49],[1,2,22],[1,3,61],[1,4,29],[1,5,55],[2,3,98],[2,4,3],[2,5,37],[3,4,73],[3,5,74],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(4,5)=14,(0,2)=20,(1,2)=22,(1,4)=29,(2,5)=37,(0,5)=49,(0,4)=54,(1,5)=55,(1,3)=61,(0,1)=67,(3,4)=73,(3,5)=74,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=14 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=29 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=37 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=49 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=54 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=55 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=3, Add (1,3)=61 Succeeded, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=73 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=74 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,67],[0,4,40],[0,5,99],[1,2,26],[1,4,30],[1,5,45],[1,6,46],[2,3,60],[2,5,19],[2,6,28],[2,7,39],[3,4,91],[3,5,1],[3,6,26],[3,7,15],[4,5,59],[4,7,14],[5,6,96],[5,7,97],[6,7,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,67],[0,4,40],[0,5,99],[1,2,26],[1,4,30],[1,5,45],[1,6,46],[2,3,60],[2,5,19],[2,6,28],[2,7,39],[3,4,91],[3,5,1],[3,6,26],[3,7,15],[4,5,59],[4,7,14],[5,6,96],[5,7,97],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,67],[0,4,40],[0,5,99],[1,2,26],[1,4,30],[1,5,45],[1,6,46],[2,3,60],[2,5,19],[2,6,28],[2,7,39],[3,4,91],[3,5,1],[3,6,26],[3,7,15],[4,5,59],[4,7,14],[5,6,96],[5,7,97],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,7)\",\"Add (3,7)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (0,4)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,67],[0,4,40],[0,5,99],[1,2,26],[1,4,30],[1,5,45],[1,6,46],[2,3,60],[2,5,19],[2,6,28],[2,7,39],[3,4,91],[3,5,1],[3,6,26],[3,7,15],[4,5,59],[4,7,14],[5,6,96],[5,7,97],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (4,7)=14, w=15\",\"Add (3,7)=15, w=30\",\"Add (2,5)=19, w=49\",\"Add (1,2)=26, w=75\",\"Add (3,6)=26, w=101\",\"Add (0,4)=40, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,67],[0,4,40],[0,5,99],[1,2,26],[1,4,30],[1,5,45],[1,6,46],[2,3,60],[2,5,19],[2,6,28],[2,7,39],[3,4,91],[3,5,1],[3,6,26],[3,7,15],[4,5,59],[4,7,14],[5,6,96],[5,7,97],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (4,7)=14 Succeeded, w=15\",\"Add (3,7)=15 Succeeded, w=30\",\"Add (2,5)=19 Succeeded, w=49\",\"Add (1,2)=26 Succeeded, w=75\",\"Add (3,6)=26 Succeeded, w=101\",\"Add (2,6)=28 Failed, w=101\",\"Add (1,4)=30 Failed, w=101\",\"Add (2,7)=39 Failed, w=101\",\"Add (0,4)=40 Succeeded, w=141\",\"Add (1,5)=45 Failed, w=141\",\"Add (1,6)=46 Failed, w=141\",\"Add (4,5)=59 Failed, w=141\",\"Add (2,3)=60 Failed, w=141\",\"Add (0,3)=67 Failed, w=141\",\"Add (6,7)=72 Failed, w=141\",\"Add (3,4)=91 Failed, w=141\",\"Add (5,6)=96 Failed, w=141\",\"Add (5,7)=97 Failed, w=141\",\"Add (0,5)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,67],[0,4,40],[0,5,99],[1,2,26],[1,4,30],[1,5,45],[1,6,46],[2,3,60],[2,5,19],[2,6,28],[2,7,39],[3,4,91],[3,5,1],[3,6,26],[3,7,15],[4,5,59],[4,7,14],[5,6,96],[5,7,97],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(4,7)=14,(3,7)=15,(2,5)=19,(1,2)=26,(3,6)=26,(2,6)=28,(1,4)=30,(2,7)=39,(0,4)=40,(1,5)=45,(1,6)=46,(4,5)=59,(2,3)=60,(0,3)=67,(6,7)=72,(3,4)=91,(5,6)=96,(5,7)=97,(0,5)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=15\",\"Find(3)=3, Find(7)=4, Add (3,7)=15 Succeeded, w=30\",\"Find(2)=2, Find(5)=3, Add (2,5)=19 Succeeded, w=49\",\"Find(1)=1, Find(2)=3, Add (1,2)=26 Succeeded, w=75\",\"Find(3)=3, Find(6)=6, Add (3,6)=26 Succeeded, w=101\",\"Find(2)=3, Find(6)=3, Add (2,6)=28 Failed, w=101\",\"Find(1)=3, Find(4)=3, Add (1,4)=30 Failed, w=101\",\"Find(2)=3, Find(7)=3, Add (2,7)=39 Failed, w=101\",\"Find(0)=0, Find(4)=3, Add (0,4)=40 Succeeded, w=141\",\"Find(1)=3, Find(5)=3, Add (1,5)=45 Failed, w=141\",\"Find(1)=3, Find(6)=3, Add (1,6)=46 Failed, w=141\",\"Find(4)=3, Find(5)=3, Add (4,5)=59 Failed, w=141\",\"Find(2)=3, Find(3)=3, Add (2,3)=60 Failed, w=141\",\"Find(0)=3, Find(3)=3, Add (0,3)=67 Failed, w=141\",\"Find(6)=3, Find(7)=3, Add (6,7)=72 Failed, w=141\",\"Find(3)=3, Find(4)=3, Add (3,4)=91 Failed, w=141\",\"Find(5)=3, Find(6)=3, Add (5,6)=96 Failed, w=141\",\"Find(5)=3, Find(7)=3, Add (5,7)=97 Failed, w=141\",\"Find(0)=3, Find(5)=3, Add (0,5)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,67],[0,4,40],[0,5,99],[1,2,26],[1,4,30],[1,5,45],[1,6,46],[2,3,60],[2,5,19],[2,6,28],[2,7,39],[3,4,91],[3,5,1],[3,6,26],[3,7,15],[4,5,59],[4,7,14],[5,6,96],[5,7,97],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(4,7)=14,(3,7)=15,(2,5)=19,(1,2)=26,(3,6)=26,(2,6)=28,(1,4)=30,(2,7)=39,(0,4)=40,(1,5)=45,(1,6)=46,(4,5)=59,(2,3)=60,(0,3)=67,(6,7)=72,(3,4)=91,(5,6)=96,(5,7)=97,(0,5)=99]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 4}, Find(2)=2, Find(5)=3, Add (2,5)=19 Succeeded, w=49\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 4}, Find(1)=1, Find(2)=3, Add (1,2)=26 Succeeded, w=75\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(3)=3, Find(6)=6, Add (3,6)=26 Succeeded, w=101\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(2)=3, Find(6)=3, Add (2,6)=28 Failed, w=101\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(1)=3, Find(4)=3, Add (1,4)=30 Failed, w=101\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=39 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(4)=3, Add (0,4)=40 Succeeded, w=141\",\"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)=45 Failed, w=141\",\"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)=46 Failed, w=141\",\"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)=59 Failed, w=141\",\"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)=60 Failed, w=141\",\"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)=67 Failed, w=141\",\"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)=72 Failed, w=141\",\"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)=91 Failed, w=141\",\"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)=96 Failed, w=141\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=97 Failed, w=141\",\"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)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,16],[0,2,41],[0,3,26],[0,4,67],[1,3,43],[1,4,55],[2,4,68],[3,4,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,41],[0,3,26],[0,4,67],[1,3,43],[1,4,55],[2,4,68],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,41],[0,3,26],[0,4,67],[1,3,43],[1,4,55],[2,4,68],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,41],[0,3,26],[0,4,67],[1,3,43],[1,4,55],[2,4,68],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (0,3)=26, w=42\",\"Add (3,4)=30, w=72\",\"Add (0,2)=41, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,41],[0,3,26],[0,4,67],[1,3,43],[1,4,55],[2,4,68],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (0,3)=26 Succeeded, w=42\",\"Add (3,4)=30 Succeeded, w=72\",\"Add (0,2)=41 Succeeded, w=113\",\"Add (1,3)=43 Failed, w=113\",\"Add (1,4)=55 Failed, w=113\",\"Add (0,4)=67 Failed, w=113\",\"Add (2,4)=68 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,41],[0,3,26],[0,4,67],[1,3,43],[1,4,55],[2,4,68],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(0,3)=26,(3,4)=30,(0,2)=41,(1,3)=43,(1,4)=55,(0,4)=67,(2,4)=68]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=42\",\"Find(3)=0, Find(4)=4, Add (3,4)=30 Succeeded, w=72\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=113\",\"Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=113\",\"Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=113\",\"Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,41],[0,3,26],[0,4,67],[1,3,43],[1,4,55],[2,4,68],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(0,3)=26,(3,4)=30,(0,2)=41,(1,3)=43,(1,4)=55,(0,4)=67,(2,4)=68]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=30 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,47],[0,4,68],[0,5,84],[1,3,4],[1,4,21],[1,6,67],[2,3,46],[2,5,0],[2,6,89],[3,5,87],[3,6,100],[4,5,100],[4,6,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,47],[0,4,68],[0,5,84],[1,3,4],[1,4,21],[1,6,67],[2,3,46],[2,5,0],[2,6,89],[3,5,87],[3,6,100],[4,5,100],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,47],[0,4,68],[0,5,84],[1,3,4],[1,4,21],[1,6,67],[2,3,46],[2,5,0],[2,6,89],[3,5,87],[3,6,100],[4,5,100],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,6)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,47],[0,4,68],[0,5,84],[1,3,4],[1,4,21],[1,6,67],[2,3,46],[2,5,0],[2,6,89],[3,5,87],[3,6,100],[4,5,100],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (1,3)=4, w=4\",\"Add (1,4)=21, w=25\",\"Add (2,3)=46, w=71\",\"Add (0,3)=47, w=118\",\"Add (1,6)=67, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,47],[0,4,68],[0,5,84],[1,3,4],[1,4,21],[1,6,67],[2,3,46],[2,5,0],[2,6,89],[3,5,87],[3,6,100],[4,5,100],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (1,3)=4 Succeeded, w=4\",\"Add (1,4)=21 Succeeded, w=25\",\"Add (2,3)=46 Succeeded, w=71\",\"Add (0,3)=47 Succeeded, w=118\",\"Add (1,6)=67 Succeeded, w=185\",\"Add (0,4)=68 Failed, w=185\",\"Add (0,5)=84 Failed, w=185\",\"Add (3,5)=87 Failed, w=185\",\"Add (2,6)=89 Failed, w=185\",\"Add (4,6)=93 Failed, w=185\",\"Add (3,6)=100 Failed, w=185\",\"Add (4,5)=100 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,47],[0,4,68],[0,5,84],[1,3,4],[1,4,21],[1,6,67],[2,3,46],[2,5,0],[2,6,89],[3,5,87],[3,6,100],[4,5,100],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,3)=4,(1,4)=21,(2,3)=46,(0,3)=47,(1,6)=67,(0,4)=68,(0,5)=84,(3,5)=87,(2,6)=89,(4,6)=93,(3,6)=100,(4,5)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=25\",\"Find(2)=2, Find(3)=1, Add (2,3)=46 Succeeded, w=71\",\"Find(0)=0, Find(3)=2, Add (0,3)=47 Succeeded, w=118\",\"Find(1)=2, Find(6)=6, Add (1,6)=67 Succeeded, w=185\",\"Find(0)=2, Find(4)=2, Add (0,4)=68 Failed, w=185\",\"Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=185\",\"Find(3)=2, Find(5)=2, Add (3,5)=87 Failed, w=185\",\"Find(2)=2, Find(6)=2, Add (2,6)=89 Failed, w=185\",\"Find(4)=2, Find(6)=2, Add (4,6)=93 Failed, w=185\",\"Find(3)=2, Find(6)=2, Add (3,6)=100 Failed, w=185\",\"Find(4)=2, Find(5)=2, Add (4,5)=100 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,47],[0,4,68],[0,5,84],[1,3,4],[1,4,21],[1,6,67],[2,3,46],[2,5,0],[2,6,89],[3,5,87],[3,6,100],[4,5,100],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,3)=4,(1,4)=21,(2,3)=46,(0,3)=47,(1,6)=67,(0,4)=68,(0,5)=84,(3,5)=87,(2,6)=89,(4,6)=93,(3,6)=100,(4,5)=100]\",\"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: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(2)=2, Find(3)=1, Add (2,3)=46 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=47 Succeeded, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(1)=2, Find(6)=6, Add (1,6)=67 Succeeded, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=68 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=87 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=89 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=93 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=100 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=100 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,8],[0,3,63],[0,4,68],[0,5,74],[0,6,25],[1,2,98],[1,3,48],[1,4,44],[1,5,23],[2,3,95],[2,4,54],[2,5,40],[3,4,18],[3,6,65],[4,5,16],[4,6,62],[5,6,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,8],[0,3,63],[0,4,68],[0,5,74],[0,6,25],[1,2,98],[1,3,48],[1,4,44],[1,5,23],[2,3,95],[2,4,54],[2,5,40],[3,4,18],[3,6,65],[4,5,16],[4,6,62],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,8],[0,3,63],[0,4,68],[0,5,74],[0,6,25],[1,2,98],[1,3,48],[1,4,44],[1,5,23],[2,3,95],[2,4,54],[2,5,40],[3,4,18],[3,6,65],[4,5,16],[4,6,62],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (0,6)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,8],[0,3,63],[0,4,68],[0,5,74],[0,6,25],[1,2,98],[1,3,48],[1,4,44],[1,5,23],[2,3,95],[2,4,54],[2,5,40],[3,4,18],[3,6,65],[4,5,16],[4,6,62],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (0,2)=8, w=13\",\"Add (4,5)=16, w=29\",\"Add (3,4)=18, w=47\",\"Add (1,5)=23, w=70\",\"Add (0,6)=25, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,8],[0,3,63],[0,4,68],[0,5,74],[0,6,25],[1,2,98],[1,3,48],[1,4,44],[1,5,23],[2,3,95],[2,4,54],[2,5,40],[3,4,18],[3,6,65],[4,5,16],[4,6,62],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (0,2)=8 Succeeded, w=13\",\"Add (4,5)=16 Succeeded, w=29\",\"Add (3,4)=18 Succeeded, w=47\",\"Add (1,5)=23 Succeeded, w=70\",\"Add (0,6)=25 Succeeded, w=95\",\"Add (2,5)=40 Failed, w=95\",\"Add (1,4)=44 Failed, w=95\",\"Add (1,3)=48 Failed, w=95\",\"Add (2,4)=54 Failed, w=95\",\"Add (5,6)=54 Failed, w=95\",\"Add (4,6)=62 Failed, w=95\",\"Add (0,3)=63 Failed, w=95\",\"Add (3,6)=65 Failed, w=95\",\"Add (0,4)=68 Failed, w=95\",\"Add (0,5)=74 Failed, w=95\",\"Add (2,3)=95 Failed, w=95\",\"Add (1,2)=98 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,8],[0,3,63],[0,4,68],[0,5,74],[0,6,25],[1,2,98],[1,3,48],[1,4,44],[1,5,23],[2,3,95],[2,4,54],[2,5,40],[3,4,18],[3,6,65],[4,5,16],[4,6,62],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,2)=8,(4,5)=16,(3,4)=18,(1,5)=23,(0,6)=25,(2,5)=40,(1,4)=44,(1,3)=48,(2,4)=54,(5,6)=54,(4,6)=62,(0,3)=63,(3,6)=65,(0,4)=68,(0,5)=74,(2,3)=95,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=13\",\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=29\",\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=47\",\"Find(1)=0, Find(5)=4, Add (1,5)=23 Succeeded, w=70\",\"Find(0)=0, Find(6)=6, Add (0,6)=25 Succeeded, w=95\",\"Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=95\",\"Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=95\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=95\",\"Find(2)=0, Find(4)=0, Add (2,4)=54 Failed, w=95\",\"Find(5)=0, Find(6)=0, Add (5,6)=54 Failed, w=95\",\"Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=95\",\"Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=95\",\"Find(3)=0, Find(6)=0, Add (3,6)=65 Failed, w=95\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=95\",\"Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=95\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=95\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,8],[0,3,63],[0,4,68],[0,5,74],[0,6,25],[1,2,98],[1,3,48],[1,4,44],[1,5,23],[2,3,95],[2,4,54],[2,5,40],[3,4,18],[3,6,65],[4,5,16],[4,6,62],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,2)=8,(4,5)=16,(3,4)=18,(1,5)=23,(0,6)=25,(2,5)=40,(1,4)=44,(1,3)=48,(2,4)=54,(5,6)=54,(4,6)=62,(0,3)=63,(3,6)=65,(0,4)=68,(0,5)=74,(2,3)=95,(1,2)=98]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(5)=4, Add (1,5)=23 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=25 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=54 Failed, w=95\",\"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=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=65 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,87],[1,2,30],[1,3,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[1,2,30],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[1,2,30],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[1,2,30],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30, w=30\",\"Add (1,3)=36, w=66\",\"Add (0,1)=87, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[1,2,30],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30 Succeeded, w=30\",\"Add (1,3)=36 Succeeded, w=66\",\"Add (0,1)=87 Succeeded, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[1,2,30],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(1,3)=36,(0,1)=87]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=66\",\"Find(0)=0, Find(1)=1, Add (0,1)=87 Succeeded, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[1,2,30],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(1,3)=36,(0,1)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=87 Succeeded, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,25],[0,2,44],[0,3,13],[1,2,71],[1,3,97],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,44],[0,3,13],[1,2,71],[1,3,97],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,44],[0,3,13],[1,2,71],[1,3,97],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,44],[0,3,13],[1,2,71],[1,3,97],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (0,1)=25, w=38\",\"Add (0,2)=44, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,44],[0,3,13],[1,2,71],[1,3,97],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (0,1)=25 Succeeded, w=38\",\"Add (0,2)=44 Succeeded, w=82\",\"Add (2,3)=56 Failed, w=82\",\"Add (1,2)=71 Failed, w=82\",\"Add (1,3)=97 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,44],[0,3,13],[1,2,71],[1,3,97],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,1)=25,(0,2)=44,(2,3)=56,(1,2)=71,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=38\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=82\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=82\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=82\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,44],[0,3,13],[1,2,71],[1,3,97],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,1)=25,(0,2)=44,(2,3)=56,(1,2)=71,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,47],[0,2,73],[0,3,48],[0,6,61],[1,4,56],[1,5,46],[1,6,50],[2,4,71],[2,5,32],[2,6,50],[3,4,77],[3,5,51],[3,6,34],[4,5,80],[5,6,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,73],[0,3,48],[0,6,61],[1,4,56],[1,5,46],[1,6,50],[2,4,71],[2,5,32],[2,6,50],[3,4,77],[3,5,51],[3,6,34],[4,5,80],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,73],[0,3,48],[0,6,61],[1,4,56],[1,5,46],[1,6,50],[2,4,71],[2,5,32],[2,6,50],[3,4,77],[3,5,51],[3,6,34],[4,5,80],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,73],[0,3,48],[0,6,61],[1,4,56],[1,5,46],[1,6,50],[2,4,71],[2,5,32],[2,6,50],[3,4,77],[3,5,51],[3,6,34],[4,5,80],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=32, w=32\",\"Add (3,6)=34, w=66\",\"Add (5,6)=35, w=101\",\"Add (1,5)=46, w=147\",\"Add (0,1)=47, w=194\",\"Add (1,4)=56, w=250\"],\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,73],[0,3,48],[0,6,61],[1,4,56],[1,5,46],[1,6,50],[2,4,71],[2,5,32],[2,6,50],[3,4,77],[3,5,51],[3,6,34],[4,5,80],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=32 Succeeded, w=32\",\"Add (3,6)=34 Succeeded, w=66\",\"Add (5,6)=35 Succeeded, w=101\",\"Add (1,5)=46 Succeeded, w=147\",\"Add (0,1)=47 Succeeded, w=194\",\"Add (0,3)=48 Failed, w=194\",\"Add (1,6)=50 Failed, w=194\",\"Add (2,6)=50 Failed, w=194\",\"Add (3,5)=51 Failed, w=194\",\"Add (1,4)=56 Succeeded, w=250\",\"Add (0,6)=61 Failed, w=250\",\"Add (2,4)=71 Failed, w=250\",\"Add (0,2)=73 Failed, w=250\",\"Add (3,4)=77 Failed, w=250\",\"Add (4,5)=80 Failed, w=250\"],\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,73],[0,3,48],[0,6,61],[1,4,56],[1,5,46],[1,6,50],[2,4,71],[2,5,32],[2,6,50],[3,4,77],[3,5,51],[3,6,34],[4,5,80],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=32,(3,6)=34,(5,6)=35,(1,5)=46,(0,1)=47,(0,3)=48,(1,6)=50,(2,6)=50,(3,5)=51,(1,4)=56,(0,6)=61,(2,4)=71,(0,2)=73,(3,4)=77,(4,5)=80]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=32 Succeeded, w=32\",\"Find(3)=3, Find(6)=6, Add (3,6)=34 Succeeded, w=66\",\"Find(5)=2, Find(6)=3, Add (5,6)=35 Succeeded, w=101\",\"Find(1)=1, Find(5)=2, Add (1,5)=46 Succeeded, w=147\",\"Find(0)=0, Find(1)=2, Add (0,1)=47 Succeeded, w=194\",\"Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=194\",\"Find(1)=2, Find(6)=2, Add (1,6)=50 Failed, w=194\",\"Find(2)=2, Find(6)=2, Add (2,6)=50 Failed, w=194\",\"Find(3)=2, Find(5)=2, Add (3,5)=51 Failed, w=194\",\"Find(1)=2, Find(4)=4, Add (1,4)=56 Succeeded, w=250\",\"Find(0)=2, Find(6)=2, Add (0,6)=61 Failed, w=250\",\"Find(2)=2, Find(4)=2, Add (2,4)=71 Failed, w=250\",\"Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=250\",\"Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=250\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=250\"],\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,73],[0,3,48],[0,6,61],[1,4,56],[1,5,46],[1,6,50],[2,4,71],[2,5,32],[2,6,50],[3,4,77],[3,5,51],[3,6,34],[4,5,80],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=32,(3,6)=34,(5,6)=35,(1,5)=46,(0,1)=47,(0,3)=48,(1,6)=50,(2,6)=50,(3,5)=51,(1,4)=56,(0,6)=61,(2,4)=71,(0,2)=73,(3,4)=77,(4,5)=80]\",\"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)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=34 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3}, Find(5)=2, Find(6)=3, Add (5,6)=35 Succeeded, w=101\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3}, Find(1)=1, Find(5)=2, Add (1,5)=46 Succeeded, w=147\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3}, Find(0)=0, Find(1)=2, Add (0,1)=47 Succeeded, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3}, Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=50 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=50 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=51 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=4, Add (1,4)=56 Succeeded, w=250\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=61 Failed, w=250\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=71 Failed, w=250\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=250\",\"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=250\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=250\"],\"Answer\":250}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,93],[0,2,56],[0,3,52],[0,5,8],[1,2,95],[1,3,73],[1,4,18],[1,5,63],[2,3,77],[2,4,55],[2,5,17],[3,4,45],[3,5,92],[4,5,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,56],[0,3,52],[0,5,8],[1,2,95],[1,3,73],[1,4,18],[1,5,63],[2,3,77],[2,4,55],[2,5,17],[3,4,45],[3,5,92],[4,5,58]]}",
"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\":[[0,1,93],[0,2,56],[0,3,52],[0,5,8],[1,2,95],[1,3,73],[1,4,18],[1,5,63],[2,3,77],[2,4,55],[2,5,17],[3,4,45],[3,5,92],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,56],[0,3,52],[0,5,8],[1,2,95],[1,3,73],[1,4,18],[1,5,63],[2,3,77],[2,4,55],[2,5,17],[3,4,45],[3,5,92],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8, w=8\",\"Add (2,5)=17, w=25\",\"Add (1,4)=18, w=43\",\"Add (3,4)=45, w=88\",\"Add (0,3)=52, 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\":[[0,1,93],[0,2,56],[0,3,52],[0,5,8],[1,2,95],[1,3,73],[1,4,18],[1,5,63],[2,3,77],[2,4,55],[2,5,17],[3,4,45],[3,5,92],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8 Succeeded, w=8\",\"Add (2,5)=17 Succeeded, w=25\",\"Add (1,4)=18 Succeeded, w=43\",\"Add (3,4)=45 Succeeded, w=88\",\"Add (0,3)=52 Succeeded, w=140\",\"Add (2,4)=55 Failed, w=140\",\"Add (0,2)=56 Failed, w=140\",\"Add (4,5)=58 Failed, w=140\",\"Add (1,5)=63 Failed, w=140\",\"Add (1,3)=73 Failed, w=140\",\"Add (2,3)=77 Failed, w=140\",\"Add (3,5)=92 Failed, w=140\",\"Add (0,1)=93 Failed, w=140\",\"Add (1,2)=95 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\":[[0,1,93],[0,2,56],[0,3,52],[0,5,8],[1,2,95],[1,3,73],[1,4,18],[1,5,63],[2,3,77],[2,4,55],[2,5,17],[3,4,45],[3,5,92],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(2,5)=17,(1,4)=18,(3,4)=45,(0,3)=52,(2,4)=55,(0,2)=56,(4,5)=58,(1,5)=63,(1,3)=73,(2,3)=77,(3,5)=92,(0,1)=93,(1,2)=95]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(2)=2, Find(5)=0, Add (2,5)=17 Succeeded, w=25\",\"Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=43\",\"Find(3)=3, Find(4)=1, Add (3,4)=45 Succeeded, w=88\",\"Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=140\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=140\",\"Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=140\",\"Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=140\",\"Find(1)=0, Find(5)=0, Add (1,5)=63 Failed, w=140\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=140\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=140\",\"Find(3)=0, Find(5)=0, Add (3,5)=92 Failed, w=140\",\"Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=140\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 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\":[[0,1,93],[0,2,56],[0,3,52],[0,5,8],[1,2,95],[1,3,73],[1,4,18],[1,5,63],[2,3,77],[2,4,55],[2,5,17],[3,4,45],[3,5,92],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(2,5)=17,(1,4)=18,(3,4)=45,(0,3)=52,(2,4)=55,(0,2)=56,(4,5)=58,(1,5)=63,(1,3)=73,(2,3)=77,(3,5)=92,(0,1)=93,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(3)=3, Find(4)=1, Add (3,4)=45 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=63 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=92 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=140\",\"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=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,20],[0,2,41],[0,3,76],[0,5,80],[1,4,45],[1,5,29],[2,3,60],[2,4,77],[3,4,33],[3,5,84],[4,5,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,41],[0,3,76],[0,5,80],[1,4,45],[1,5,29],[2,3,60],[2,4,77],[3,4,33],[3,5,84],[4,5,90]]}",
"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\":[[0,1,20],[0,2,41],[0,3,76],[0,5,80],[1,4,45],[1,5,29],[2,3,60],[2,4,77],[3,4,33],[3,5,84],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,41],[0,3,76],[0,5,80],[1,4,45],[1,5,29],[2,3,60],[2,4,77],[3,4,33],[3,5,84],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20, w=20\",\"Add (1,5)=29, w=49\",\"Add (3,4)=33, w=82\",\"Add (0,2)=41, w=123\",\"Add (1,4)=45, 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\":[[0,1,20],[0,2,41],[0,3,76],[0,5,80],[1,4,45],[1,5,29],[2,3,60],[2,4,77],[3,4,33],[3,5,84],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20 Succeeded, w=20\",\"Add (1,5)=29 Succeeded, w=49\",\"Add (3,4)=33 Succeeded, w=82\",\"Add (0,2)=41 Succeeded, w=123\",\"Add (1,4)=45 Succeeded, w=168\",\"Add (2,3)=60 Failed, w=168\",\"Add (0,3)=76 Failed, w=168\",\"Add (2,4)=77 Failed, w=168\",\"Add (0,5)=80 Failed, w=168\",\"Add (3,5)=84 Failed, w=168\",\"Add (4,5)=90 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\":[[0,1,20],[0,2,41],[0,3,76],[0,5,80],[1,4,45],[1,5,29],[2,3,60],[2,4,77],[3,4,33],[3,5,84],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(1,5)=29,(3,4)=33,(0,2)=41,(1,4)=45,(2,3)=60,(0,3)=76,(2,4)=77,(0,5)=80,(3,5)=84,(4,5)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Find(1)=0, Find(5)=5, Add (1,5)=29 Succeeded, w=49\",\"Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=82\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=123\",\"Find(1)=0, Find(4)=3, Add (1,4)=45 Succeeded, w=168\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=168\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=168\",\"Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=168\",\"Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=168\",\"Find(3)=0, Find(5)=0, Add (3,5)=84 Failed, w=168\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 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\":[[0,1,20],[0,2,41],[0,3,76],[0,5,80],[1,4,45],[1,5,29],[2,3,60],[2,4,77],[3,4,33],[3,5,84],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(1,5)=29,(3,4)=33,(0,2)=41,(1,4)=45,(2,3)=60,(0,3)=76,(2,4)=77,(0,5)=80,(3,5)=84,(4,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=29 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(4)=3, Add (1,4)=45 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=84 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,89],[0,2,50],[0,5,86],[1,3,82],[1,4,100],[2,3,39],[3,4,71],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,50],[0,5,86],[1,3,82],[1,4,100],[2,3,39],[3,4,71],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,50],[0,5,86],[1,3,82],[1,4,100],[2,3,39],[3,4,71],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,50],[0,5,86],[1,3,82],[1,4,100],[2,3,39],[3,4,71],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8, w=8\",\"Add (2,3)=39, w=47\",\"Add (0,2)=50, w=97\",\"Add (3,4)=71, w=168\",\"Add (1,3)=82, w=250\"],\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,50],[0,5,86],[1,3,82],[1,4,100],[2,3,39],[3,4,71],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8 Succeeded, w=8\",\"Add (2,3)=39 Succeeded, w=47\",\"Add (0,2)=50 Succeeded, w=97\",\"Add (3,4)=71 Succeeded, w=168\",\"Add (1,3)=82 Succeeded, w=250\",\"Add (0,5)=86 Failed, w=250\",\"Add (0,1)=89 Failed, w=250\",\"Add (1,4)=100 Failed, w=250\"],\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,50],[0,5,86],[1,3,82],[1,4,100],[2,3,39],[3,4,71],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(2,3)=39,(0,2)=50,(3,4)=71,(1,3)=82,(0,5)=86,(0,1)=89,(1,4)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=47\",\"Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=97\",\"Find(3)=2, Find(4)=4, Add (3,4)=71 Succeeded, w=168\",\"Find(1)=1, Find(3)=2, Add (1,3)=82 Succeeded, w=250\",\"Find(0)=2, Find(5)=2, Add (0,5)=86 Failed, w=250\",\"Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=250\",\"Find(1)=2, Find(4)=2, Add (1,4)=100 Failed, w=250\"],\"Answer\":250}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,50],[0,5,86],[1,3,82],[1,4,100],[2,3,39],[3,4,71],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(2,3)=39,(0,2)=50,(3,4)=71,(1,3)=82,(0,5)=86,(0,1)=89,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=97\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(3)=2, Find(4)=4, Add (3,4)=71 Succeeded, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(1)=1, Find(3)=2, Add (1,3)=82 Succeeded, w=250\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=86 Failed, w=250\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=250\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=100 Failed, w=250\"],\"Answer\":250}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,3,8],[0,4,52],[1,2,68],[1,3,25],[1,4,69],[2,3,38],[2,4,2],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,3,8],[0,4,52],[1,2,68],[1,3,25],[1,4,69],[2,3,38],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,3,8],[0,4,52],[1,2,68],[1,3,25],[1,4,69],[2,3,38],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,3,8],[0,4,52],[1,2,68],[1,3,25],[1,4,69],[2,3,38],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,3)=8, w=10\",\"Add (3,4)=19, w=29\",\"Add (1,3)=25, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,3,8],[0,4,52],[1,2,68],[1,3,25],[1,4,69],[2,3,38],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,3)=8 Succeeded, w=10\",\"Add (3,4)=19 Succeeded, w=29\",\"Add (1,3)=25 Succeeded, w=54\",\"Add (2,3)=38 Failed, w=54\",\"Add (0,4)=52 Failed, w=54\",\"Add (0,1)=57 Failed, w=54\",\"Add (1,2)=68 Failed, w=54\",\"Add (1,4)=69 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,3,8],[0,4,52],[1,2,68],[1,3,25],[1,4,69],[2,3,38],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,3)=8,(3,4)=19,(1,3)=25,(2,3)=38,(0,4)=52,(0,1)=57,(1,2)=68,(1,4)=69]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=10\",\"Find(3)=0, Find(4)=2, Add (3,4)=19 Succeeded, w=29\",\"Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=54\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=54\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=54\",\"Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=54\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=54\",\"Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,3,8],[0,4,52],[1,2,68],[1,3,25],[1,4,69],[2,3,38],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,3)=8,(3,4)=19,(1,3)=25,(2,3)=38,(0,4)=52,(0,1)=57,(1,2)=68,(1,4)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2}, Find(3)=0, Find(4)=2, Add (3,4)=19 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,7],[1,2,5],[1,3,96],[1,4,37],[2,3,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,7],[1,2,5],[1,3,96],[1,4,37],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,7],[1,2,5],[1,3,96],[1,4,37],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,7],[1,2,5],[1,3,96],[1,4,37],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (2,3)=6, w=11\",\"Add (0,3)=7, w=18\",\"Add (1,4)=37, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,7],[1,2,5],[1,3,96],[1,4,37],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (2,3)=6 Succeeded, w=11\",\"Add (0,3)=7 Succeeded, w=18\",\"Add (1,4)=37 Succeeded, w=55\",\"Add (1,3)=96 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,7],[1,2,5],[1,3,96],[1,4,37],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,3)=6,(0,3)=7,(1,4)=37,(1,3)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(2)=1, Find(3)=3, Add (2,3)=6 Succeeded, w=11\",\"Find(0)=0, Find(3)=1, Add (0,3)=7 Succeeded, w=18\",\"Find(1)=1, Find(4)=4, Add (1,4)=37 Succeeded, w=55\",\"Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,7],[1,2,5],[1,3,96],[1,4,37],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,3)=6,(0,3)=7,(1,4)=37,(1,3)=96]\",\"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: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=6 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=7 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=37 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,2,2],[0,3,44],[0,4,61],[0,5,47],[1,2,37],[1,3,70],[1,4,95],[1,5,32],[2,3,81],[2,4,69],[3,4,91],[3,5,91],[4,5,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,2],[0,3,44],[0,4,61],[0,5,47],[1,2,37],[1,3,70],[1,4,95],[1,5,32],[2,3,81],[2,4,69],[3,4,91],[3,5,91],[4,5,39]]}",
"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\":[[0,1,95],[0,2,2],[0,3,44],[0,4,61],[0,5,47],[1,2,37],[1,3,70],[1,4,95],[1,5,32],[2,3,81],[2,4,69],[3,4,91],[3,5,91],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (0,3)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,2],[0,3,44],[0,4,61],[0,5,47],[1,2,37],[1,3,70],[1,4,95],[1,5,32],[2,3,81],[2,4,69],[3,4,91],[3,5,91],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (1,5)=32, w=34\",\"Add (1,2)=37, w=71\",\"Add (4,5)=39, w=110\",\"Add (0,3)=44, 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\":[[0,1,95],[0,2,2],[0,3,44],[0,4,61],[0,5,47],[1,2,37],[1,3,70],[1,4,95],[1,5,32],[2,3,81],[2,4,69],[3,4,91],[3,5,91],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,5)=32 Succeeded, w=34\",\"Add (1,2)=37 Succeeded, w=71\",\"Add (4,5)=39 Succeeded, w=110\",\"Add (0,3)=44 Succeeded, w=154\",\"Add (0,5)=47 Failed, w=154\",\"Add (0,4)=61 Failed, w=154\",\"Add (2,4)=69 Failed, w=154\",\"Add (1,3)=70 Failed, w=154\",\"Add (2,3)=81 Failed, w=154\",\"Add (3,4)=91 Failed, w=154\",\"Add (3,5)=91 Failed, w=154\",\"Add (0,1)=95 Failed, w=154\",\"Add (1,4)=95 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\":[[0,1,95],[0,2,2],[0,3,44],[0,4,61],[0,5,47],[1,2,37],[1,3,70],[1,4,95],[1,5,32],[2,3,81],[2,4,69],[3,4,91],[3,5,91],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,5)=32,(1,2)=37,(4,5)=39,(0,3)=44,(0,5)=47,(0,4)=61,(2,4)=69,(1,3)=70,(2,3)=81,(3,4)=91,(3,5)=91,(0,1)=95,(1,4)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=34\",\"Find(1)=1, Find(2)=0, Add (1,2)=37 Succeeded, w=71\",\"Find(4)=4, Find(5)=1, Add (4,5)=39 Succeeded, w=110\",\"Find(0)=1, Find(3)=3, Add (0,3)=44 Succeeded, w=154\",\"Find(0)=1, Find(5)=1, Add (0,5)=47 Failed, w=154\",\"Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=154\",\"Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=154\",\"Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=154\",\"Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=154\",\"Find(3)=1, Find(4)=1, Add (3,4)=91 Failed, w=154\",\"Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=154\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=154\",\"Find(1)=1, Find(4)=1, Add (1,4)=95 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\":[[0,1,95],[0,2,2],[0,3,44],[0,4,61],[0,5,47],[1,2,37],[1,3,70],[1,4,95],[1,5,32],[2,3,81],[2,4,69],[3,4,91],[3,5,91],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,5)=32,(1,2)=37,(4,5)=39,(0,3)=44,(0,5)=47,(0,4)=61,(2,4)=69,(1,3)=70,(2,3)=81,(3,4)=91,(3,5)=91,(0,1)=95,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(2)=0, Add (1,2)=37 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=39 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=3, Add (0,3)=44 Succeeded, w=154\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=47 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=91 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=95 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,9],[0,2,94],[0,3,16],[0,5,0],[1,2,77],[1,3,45],[1,4,24],[1,5,8],[2,3,33],[2,4,78],[2,5,92],[3,4,67],[3,5,8],[4,5,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,2,94],[0,3,16],[0,5,0],[1,2,77],[1,3,45],[1,4,24],[1,5,8],[2,3,33],[2,4,78],[2,5,92],[3,4,67],[3,5,8],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,2,94],[0,3,16],[0,5,0],[1,2,77],[1,3,45],[1,4,24],[1,5,8],[2,3,33],[2,4,78],[2,5,92],[3,4,67],[3,5,8],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,2,94],[0,3,16],[0,5,0],[1,2,77],[1,3,45],[1,4,24],[1,5,8],[2,3,33],[2,4,78],[2,5,92],[3,4,67],[3,5,8],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (1,5)=8, w=8\",\"Add (3,5)=8, w=16\",\"Add (1,4)=24, w=40\",\"Add (2,3)=33, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,2,94],[0,3,16],[0,5,0],[1,2,77],[1,3,45],[1,4,24],[1,5,8],[2,3,33],[2,4,78],[2,5,92],[3,4,67],[3,5,8],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (1,5)=8 Succeeded, w=8\",\"Add (3,5)=8 Succeeded, w=16\",\"Add (0,1)=9 Failed, w=16\",\"Add (0,3)=16 Failed, w=16\",\"Add (1,4)=24 Succeeded, w=40\",\"Add (2,3)=33 Succeeded, w=73\",\"Add (1,3)=45 Failed, w=73\",\"Add (4,5)=47 Failed, w=73\",\"Add (3,4)=67 Failed, w=73\",\"Add (1,2)=77 Failed, w=73\",\"Add (2,4)=78 Failed, w=73\",\"Add (2,5)=92 Failed, w=73\",\"Add (0,2)=94 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,2,94],[0,3,16],[0,5,0],[1,2,77],[1,3,45],[1,4,24],[1,5,8],[2,3,33],[2,4,78],[2,5,92],[3,4,67],[3,5,8],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,5)=8,(3,5)=8,(0,1)=9,(0,3)=16,(1,4)=24,(2,3)=33,(1,3)=45,(4,5)=47,(3,4)=67,(1,2)=77,(2,4)=78,(2,5)=92,(0,2)=94]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=0, Add (1,5)=8 Succeeded, w=8\",\"Find(3)=3, Find(5)=0, Add (3,5)=8 Succeeded, w=16\",\"Find(0)=0, Find(1)=0, Add (0,1)=9 Failed, w=16\",\"Find(0)=0, Find(3)=0, Add (0,3)=16 Failed, w=16\",\"Find(1)=0, Find(4)=4, Add (1,4)=24 Succeeded, w=40\",\"Find(2)=2, Find(3)=0, Add (2,3)=33 Succeeded, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=73\",\"Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=73\",\"Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=73\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=73\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=73\",\"Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=73\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,9],[0,2,94],[0,3,16],[0,5,0],[1,2,77],[1,3,45],[1,4,24],[1,5,8],[2,3,33],[2,4,78],[2,5,92],[3,4,67],[3,5,8],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,5)=8,(3,5)=8,(0,1)=9,(0,3)=16,(1,4)=24,(2,3)=33,(1,3)=45,(4,5)=47,(3,4)=67,(1,2)=77,(2,4)=78,(2,5)=92,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=9 Failed, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=16 Failed, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=24 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=33 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,25],[0,2,54],[0,4,27],[1,2,31],[1,3,61],[1,4,45],[2,4,80],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,54],[0,4,27],[1,2,31],[1,3,61],[1,4,45],[2,4,80],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,54],[0,4,27],[1,2,31],[1,3,61],[1,4,45],[2,4,80],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,54],[0,4,27],[1,2,31],[1,3,61],[1,4,45],[2,4,80],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11, w=11\",\"Add (0,1)=25, w=36\",\"Add (0,4)=27, w=63\",\"Add (1,2)=31, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,54],[0,4,27],[1,2,31],[1,3,61],[1,4,45],[2,4,80],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11 Succeeded, w=11\",\"Add (0,1)=25 Succeeded, w=36\",\"Add (0,4)=27 Succeeded, w=63\",\"Add (1,2)=31 Succeeded, w=94\",\"Add (1,4)=45 Failed, w=94\",\"Add (0,2)=54 Failed, w=94\",\"Add (1,3)=61 Failed, w=94\",\"Add (2,4)=80 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,54],[0,4,27],[1,2,31],[1,3,61],[1,4,45],[2,4,80],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(0,1)=25,(0,4)=27,(1,2)=31,(1,4)=45,(0,2)=54,(1,3)=61,(2,4)=80]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=36\",\"Find(0)=0, Find(4)=3, Add (0,4)=27 Succeeded, w=63\",\"Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=94\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=94\",\"Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=94\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=94\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,54],[0,4,27],[1,2,31],[1,3,61],[1,4,45],[2,4,80],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(0,1)=25,(0,4)=27,(1,2)=31,(1,4)=45,(0,2)=54,(1,3)=61,(2,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=27 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,19],[0,3,56],[1,2,75],[1,3,60],[2,3,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,19],[0,3,56],[1,2,75],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,19],[0,3,56],[1,2,75],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,19],[0,3,56],[1,2,75],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (0,3)=56, w=75\",\"Add (1,3)=60, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,19],[0,3,56],[1,2,75],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (0,3)=56 Succeeded, w=75\",\"Add (1,3)=60 Succeeded, w=135\",\"Add (1,2)=75 Failed, w=135\",\"Add (2,3)=83 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,19],[0,3,56],[1,2,75],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,3)=56,(1,3)=60,(1,2)=75,(2,3)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=75\",\"Find(1)=1, Find(3)=0, Add (1,3)=60 Succeeded, w=135\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=135\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,19],[0,3,56],[1,2,75],[1,3,60],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,3)=56,(1,3)=60,(1,2)=75,(2,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=60 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,15],[0,2,100],[0,3,0],[0,4,26],[0,5,27],[1,2,23],[1,3,34],[1,4,32],[1,5,79],[2,3,99],[2,4,38],[2,5,88],[3,4,55],[3,5,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,100],[0,3,0],[0,4,26],[0,5,27],[1,2,23],[1,3,34],[1,4,32],[1,5,79],[2,3,99],[2,4,38],[2,5,88],[3,4,55],[3,5,29]]}",
"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],\"edges\":[[0,1,15],[0,2,100],[0,3,0],[0,4,26],[0,5,27],[1,2,23],[1,3,34],[1,4,32],[1,5,79],[2,3,99],[2,4,38],[2,5,88],[3,4,55],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,5)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,100],[0,3,0],[0,4,26],[0,5,27],[1,2,23],[1,3,34],[1,4,32],[1,5,79],[2,3,99],[2,4,38],[2,5,88],[3,4,55],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (0,1)=15, w=15\",\"Add (1,2)=23, w=38\",\"Add (0,4)=26, w=64\",\"Add (0,5)=27, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,100],[0,3,0],[0,4,26],[0,5,27],[1,2,23],[1,3,34],[1,4,32],[1,5,79],[2,3,99],[2,4,38],[2,5,88],[3,4,55],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (0,1)=15 Succeeded, w=15\",\"Add (1,2)=23 Succeeded, w=38\",\"Add (0,4)=26 Succeeded, w=64\",\"Add (0,5)=27 Succeeded, w=91\",\"Add (3,5)=29 Failed, w=91\",\"Add (1,4)=32 Failed, w=91\",\"Add (1,3)=34 Failed, w=91\",\"Add (2,4)=38 Failed, w=91\",\"Add (3,4)=55 Failed, w=91\",\"Add (1,5)=79 Failed, w=91\",\"Add (2,5)=88 Failed, w=91\",\"Add (2,3)=99 Failed, w=91\",\"Add (0,2)=100 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],\"edges\":[[0,1,15],[0,2,100],[0,3,0],[0,4,26],[0,5,27],[1,2,23],[1,3,34],[1,4,32],[1,5,79],[2,3,99],[2,4,38],[2,5,88],[3,4,55],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,1)=15,(1,2)=23,(0,4)=26,(0,5)=27,(3,5)=29,(1,4)=32,(1,3)=34,(2,4)=38,(3,4)=55,(1,5)=79,(2,5)=88,(2,3)=99,(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=38\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=64\",\"Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=91\",\"Find(3)=0, Find(5)=0, Add (3,5)=29 Failed, w=91\",\"Find(1)=0, Find(4)=0, Add (1,4)=32 Failed, w=91\",\"Find(1)=0, Find(3)=0, Add (1,3)=34 Failed, w=91\",\"Find(2)=0, Find(4)=0, Add (2,4)=38 Failed, w=91\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=91\",\"Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=91\",\"Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=91\",\"Find(0)=0, Find(2)=0, Add (0,2)=100 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],\"edges\":[[0,1,15],[0,2,100],[0,3,0],[0,4,26],[0,5,27],[1,2,23],[1,3,34],[1,4,32],[1,5,79],[2,3,99],[2,4,38],[2,5,88],[3,4,55],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,1)=15,(1,2)=23,(0,4)=26,(0,5)=27,(3,5)=29,(1,4)=32,(1,3)=34,(2,4)=38,(3,4)=55,(1,5)=79,(2,5)=88,(2,3)=99,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=29 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=32 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=34 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=38 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,17],[0,3,35],[0,4,43],[1,2,96],[1,3,62],[1,4,48],[1,5,26],[1,6,51],[1,7,99],[2,3,66],[2,5,27],[2,7,70],[3,4,27],[3,6,87],[3,7,31],[4,6,59],[5,7,67],[6,7,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,35],[0,4,43],[1,2,96],[1,3,62],[1,4,48],[1,5,26],[1,6,51],[1,7,99],[2,3,66],[2,5,27],[2,7,70],[3,4,27],[3,6,87],[3,7,31],[4,6,59],[5,7,67],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,35],[0,4,43],[1,2,96],[1,3,62],[1,4,48],[1,5,26],[1,6,51],[1,7,99],[2,3,66],[2,5,27],[2,7,70],[3,4,27],[3,6,87],[3,7,31],[4,6,59],[5,7,67],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (3,7)\",\"Add (0,3)\",\"Add (1,6)\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,35],[0,4,43],[1,2,96],[1,3,62],[1,4,48],[1,5,26],[1,6,51],[1,7,99],[2,3,66],[2,5,27],[2,7,70],[3,4,27],[3,6,87],[3,7,31],[4,6,59],[5,7,67],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17, w=17\",\"Add (1,5)=26, w=43\",\"Add (2,5)=27, w=70\",\"Add (3,4)=27, w=97\",\"Add (3,7)=31, w=128\",\"Add (0,3)=35, w=163\",\"Add (1,6)=51, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,35],[0,4,43],[1,2,96],[1,3,62],[1,4,48],[1,5,26],[1,6,51],[1,7,99],[2,3,66],[2,5,27],[2,7,70],[3,4,27],[3,6,87],[3,7,31],[4,6,59],[5,7,67],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17 Succeeded, w=17\",\"Add (1,5)=26 Succeeded, w=43\",\"Add (2,5)=27 Succeeded, w=70\",\"Add (3,4)=27 Succeeded, w=97\",\"Add (3,7)=31 Succeeded, w=128\",\"Add (0,3)=35 Succeeded, w=163\",\"Add (0,4)=43 Failed, w=163\",\"Add (1,4)=48 Failed, w=163\",\"Add (1,6)=51 Succeeded, w=214\",\"Add (4,6)=59 Failed, w=214\",\"Add (1,3)=62 Failed, w=214\",\"Add (2,3)=66 Failed, w=214\",\"Add (5,7)=67 Failed, w=214\",\"Add (2,7)=70 Failed, w=214\",\"Add (6,7)=74 Failed, w=214\",\"Add (3,6)=87 Failed, w=214\",\"Add (1,2)=96 Failed, w=214\",\"Add (1,7)=99 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,35],[0,4,43],[1,2,96],[1,3,62],[1,4,48],[1,5,26],[1,6,51],[1,7,99],[2,3,66],[2,5,27],[2,7,70],[3,4,27],[3,6,87],[3,7,31],[4,6,59],[5,7,67],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(1,5)=26,(2,5)=27,(3,4)=27,(3,7)=31,(0,3)=35,(0,4)=43,(1,4)=48,(1,6)=51,(4,6)=59,(1,3)=62,(2,3)=66,(5,7)=67,(2,7)=70,(6,7)=74,(3,6)=87,(1,2)=96,(1,7)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Find(1)=1, Find(5)=5, Add (1,5)=26 Succeeded, w=43\",\"Find(2)=0, Find(5)=1, Add (2,5)=27 Succeeded, w=70\",\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=97\",\"Find(3)=3, Find(7)=7, Add (3,7)=31 Succeeded, w=128\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=163\",\"Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=163\",\"Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=163\",\"Find(1)=0, Find(6)=6, Add (1,6)=51 Succeeded, w=214\",\"Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=214\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=214\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=214\",\"Find(5)=0, Find(7)=0, Add (5,7)=67 Failed, w=214\",\"Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=214\",\"Find(6)=0, Find(7)=0, Add (6,7)=74 Failed, w=214\",\"Find(3)=0, Find(6)=0, Add (3,6)=87 Failed, w=214\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=214\",\"Find(1)=0, Find(7)=0, Add (1,7)=99 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,35],[0,4,43],[1,2,96],[1,3,62],[1,4,48],[1,5,26],[1,6,51],[1,7,99],[2,3,66],[2,5,27],[2,7,70],[3,4,27],[3,6,87],[3,7,31],[4,6,59],[5,7,67],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(1,5)=26,(2,5)=27,(3,4)=27,(3,7)=31,(0,3)=35,(0,4)=43,(1,4)=48,(1,6)=51,(4,6)=59,(1,3)=62,(2,3)=66,(5,7)=67,(2,7)=70,(6,7)=74,(3,6)=87,(1,2)=96,(1,7)=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)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=26 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(2)=0, Find(5)=1, Add (2,5)=27 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 1, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 1, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=31 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 1, 6: 6, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 6, 7: 3}, Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 6, 7: 3}, Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 3}, Find(1)=0, Find(6)=6, Add (1,6)=51 Succeeded, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 3}, Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 3}, Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=214\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 3}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=214\",\"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)=67 Failed, w=214\",\"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)=70 Failed, w=214\",\"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)=74 Failed, w=214\",\"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)=87 Failed, w=214\",\"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)=96 Failed, w=214\",\"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)=99 Failed, w=214\"],\"Answer\":214}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,9],[0,4,60],[0,5,29],[1,2,1],[1,3,69],[1,4,34],[1,5,42],[2,3,43],[2,4,99],[2,5,82],[3,4,40],[3,5,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,9],[0,4,60],[0,5,29],[1,2,1],[1,3,69],[1,4,34],[1,5,42],[2,3,43],[2,4,99],[2,5,82],[3,4,40],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,9],[0,4,60],[0,5,29],[1,2,1],[1,3,69],[1,4,34],[1,5,42],[2,3,43],[2,4,99],[2,5,82],[3,4,40],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,9],[0,4,60],[0,5,29],[1,2,1],[1,3,69],[1,4,34],[1,5,42],[2,3,43],[2,4,99],[2,5,82],[3,4,40],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,2)=9, w=10\",\"Add (3,5)=12, w=22\",\"Add (0,5)=29, w=51\",\"Add (1,4)=34, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,9],[0,4,60],[0,5,29],[1,2,1],[1,3,69],[1,4,34],[1,5,42],[2,3,43],[2,4,99],[2,5,82],[3,4,40],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,2)=9 Succeeded, w=10\",\"Add (3,5)=12 Succeeded, w=22\",\"Add (0,5)=29 Succeeded, w=51\",\"Add (1,4)=34 Succeeded, w=85\",\"Add (0,1)=38 Failed, w=85\",\"Add (3,4)=40 Failed, w=85\",\"Add (1,5)=42 Failed, w=85\",\"Add (2,3)=43 Failed, w=85\",\"Add (0,4)=60 Failed, w=85\",\"Add (1,3)=69 Failed, w=85\",\"Add (2,5)=82 Failed, w=85\",\"Add (2,4)=99 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,9],[0,4,60],[0,5,29],[1,2,1],[1,3,69],[1,4,34],[1,5,42],[2,3,43],[2,4,99],[2,5,82],[3,4,40],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,2)=9,(3,5)=12,(0,5)=29,(1,4)=34,(0,1)=38,(3,4)=40,(1,5)=42,(2,3)=43,(0,4)=60,(1,3)=69,(2,5)=82,(2,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=1, Add (0,2)=9 Succeeded, w=10\",\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=22\",\"Find(0)=1, Find(5)=3, Add (0,5)=29 Succeeded, w=51\",\"Find(1)=1, Find(4)=4, Add (1,4)=34 Succeeded, w=85\",\"Find(0)=1, Find(1)=1, Add (0,1)=38 Failed, w=85\",\"Find(3)=1, Find(4)=1, Add (3,4)=40 Failed, w=85\",\"Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=85\",\"Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=85\",\"Find(0)=1, Find(4)=1, Add (0,4)=60 Failed, w=85\",\"Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=85\",\"Find(2)=1, Find(5)=1, Add (2,5)=82 Failed, w=85\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,9],[0,4,60],[0,5,29],[1,2,1],[1,3,69],[1,4,34],[1,5,42],[2,3,43],[2,4,99],[2,5,82],[3,4,40],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,2)=9,(3,5)=12,(0,5)=29,(1,4)=34,(0,1)=38,(3,4)=40,(1,5)=42,(2,3)=43,(0,4)=60,(1,3)=69,(2,5)=82,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=9 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3}, Find(0)=1, Find(5)=3, Add (0,5)=29 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(4)=4, Add (1,4)=34 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=38 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(3)=1, Find(4)=1, Add (3,4)=40 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=60 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=82 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,89],[0,4,94],[0,5,25],[0,7,8],[1,2,91],[1,3,30],[1,4,86],[1,5,83],[1,6,63],[1,7,80],[2,3,49],[2,4,53],[2,5,72],[2,6,21],[2,7,28],[3,4,69],[3,5,90],[4,5,88],[5,6,25],[5,7,95],[6,7,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,89],[0,4,94],[0,5,25],[0,7,8],[1,2,91],[1,3,30],[1,4,86],[1,5,83],[1,6,63],[1,7,80],[2,3,49],[2,4,53],[2,5,72],[2,6,21],[2,7,28],[3,4,69],[3,5,90],[4,5,88],[5,6,25],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,89],[0,4,94],[0,5,25],[0,7,8],[1,2,91],[1,3,30],[1,4,86],[1,5,83],[1,6,63],[1,7,80],[2,3,49],[2,4,53],[2,5,72],[2,6,21],[2,7,28],[3,4,69],[3,5,90],[4,5,88],[5,6,25],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,89],[0,4,94],[0,5,25],[0,7,8],[1,2,91],[1,3,30],[1,4,86],[1,5,83],[1,6,63],[1,7,80],[2,3,49],[2,4,53],[2,5,72],[2,6,21],[2,7,28],[3,4,69],[3,5,90],[4,5,88],[5,6,25],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=8, w=8\",\"Add (2,6)=21, w=29\",\"Add (0,5)=25, w=54\",\"Add (5,6)=25, w=79\",\"Add (1,3)=30, w=109\",\"Add (2,3)=49, w=158\",\"Add (2,4)=53, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,89],[0,4,94],[0,5,25],[0,7,8],[1,2,91],[1,3,30],[1,4,86],[1,5,83],[1,6,63],[1,7,80],[2,3,49],[2,4,53],[2,5,72],[2,6,21],[2,7,28],[3,4,69],[3,5,90],[4,5,88],[5,6,25],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=8 Succeeded, w=8\",\"Add (2,6)=21 Succeeded, w=29\",\"Add (0,5)=25 Succeeded, w=54\",\"Add (5,6)=25 Succeeded, w=79\",\"Add (2,7)=28 Failed, w=79\",\"Add (1,3)=30 Succeeded, w=109\",\"Add (2,3)=49 Succeeded, w=158\",\"Add (2,4)=53 Succeeded, w=211\",\"Add (1,6)=63 Failed, w=211\",\"Add (3,4)=69 Failed, w=211\",\"Add (2,5)=72 Failed, w=211\",\"Add (6,7)=72 Failed, w=211\",\"Add (1,7)=80 Failed, w=211\",\"Add (1,5)=83 Failed, w=211\",\"Add (1,4)=86 Failed, w=211\",\"Add (4,5)=88 Failed, w=211\",\"Add (0,3)=89 Failed, w=211\",\"Add (3,5)=90 Failed, w=211\",\"Add (1,2)=91 Failed, w=211\",\"Add (0,4)=94 Failed, w=211\",\"Add (5,7)=95 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,89],[0,4,94],[0,5,25],[0,7,8],[1,2,91],[1,3,30],[1,4,86],[1,5,83],[1,6,63],[1,7,80],[2,3,49],[2,4,53],[2,5,72],[2,6,21],[2,7,28],[3,4,69],[3,5,90],[4,5,88],[5,6,25],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=8,(2,6)=21,(0,5)=25,(5,6)=25,(2,7)=28,(1,3)=30,(2,3)=49,(2,4)=53,(1,6)=63,(3,4)=69,(2,5)=72,(6,7)=72,(1,7)=80,(1,5)=83,(1,4)=86,(4,5)=88,(0,3)=89,(3,5)=90,(1,2)=91,(0,4)=94,(5,7)=95]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=8\",\"Find(2)=2, Find(6)=6, Add (2,6)=21 Succeeded, w=29\",\"Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=54\",\"Find(5)=0, Find(6)=2, Add (5,6)=25 Succeeded, w=79\",\"Find(2)=0, Find(7)=0, Add (2,7)=28 Failed, w=79\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=109\",\"Find(2)=0, Find(3)=1, Add (2,3)=49 Succeeded, w=158\",\"Find(2)=0, Find(4)=4, Add (2,4)=53 Succeeded, w=211\",\"Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=211\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=211\",\"Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=211\",\"Find(6)=0, Find(7)=0, Add (6,7)=72 Failed, w=211\",\"Find(1)=0, Find(7)=0, Add (1,7)=80 Failed, w=211\",\"Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=211\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=211\",\"Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=211\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=211\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=211\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=211\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=211\",\"Find(5)=0, Find(7)=0, Add (5,7)=95 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,89],[0,4,94],[0,5,25],[0,7,8],[1,2,91],[1,3,30],[1,4,86],[1,5,83],[1,6,63],[1,7,80],[2,3,49],[2,4,53],[2,5,72],[2,6,21],[2,7,28],[3,4,69],[3,5,90],[4,5,88],[5,6,25],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=8,(2,6)=21,(0,5)=25,(5,6)=25,(2,7)=28,(1,3)=30,(2,3)=49,(2,4)=53,(1,6)=63,(3,4)=69,(2,5)=72,(6,7)=72,(1,7)=80,(1,5)=83,(1,4)=86,(4,5)=88,(0,3)=89,(3,5)=90,(1,2)=91,(0,4)=94,(5,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 0}, Find(2)=2, Find(6)=6, Add (2,6)=21 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 2, 7: 0}, Find(5)=0, Find(6)=2, Add (5,6)=25 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=28 Failed, w=79\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 2, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(3)=1, Add (2,3)=49 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(4)=4, Add (2,4)=53 Succeeded, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=211\",\"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)=69 Failed, w=211\",\"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)=72 Failed, w=211\",\"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)=72 Failed, w=211\",\"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)=80 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=211\",\"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)=88 Failed, w=211\",\"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)=89 Failed, w=211\",\"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=211\",\"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)=91 Failed, w=211\",\"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)=94 Failed, w=211\",\"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)=95 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,53],[0,3,2],[1,3,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,2],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,2],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,2],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,3)=7, w=9\"],\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,2],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,3)=7 Succeeded, w=9\",\"Add (0,1)=53 Failed, w=9\"],\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,2],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=7,(0,1)=53]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=0, Add (1,3)=7 Succeeded, w=9\",\"Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=9\"],\"Answer\":9}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,3,2],[1,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=7,(0,1)=53]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=9\"],\"Answer\":9}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,58],[0,2,11],[0,3,0],[0,4,39],[1,2,14],[1,3,39],[1,4,73],[2,3,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,11],[0,3,0],[0,4,39],[1,2,14],[1,3,39],[1,4,73],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,11],[0,3,0],[0,4,39],[1,2,14],[1,3,39],[1,4,73],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,11],[0,3,0],[0,4,39],[1,2,14],[1,3,39],[1,4,73],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (0,2)=11, w=11\",\"Add (1,2)=14, w=25\",\"Add (0,4)=39, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,11],[0,3,0],[0,4,39],[1,2,14],[1,3,39],[1,4,73],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (0,2)=11 Succeeded, w=11\",\"Add (1,2)=14 Succeeded, w=25\",\"Add (2,3)=27 Failed, w=25\",\"Add (0,4)=39 Succeeded, w=64\",\"Add (1,3)=39 Failed, w=64\",\"Add (0,1)=58 Failed, w=64\",\"Add (1,4)=73 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,11],[0,3,0],[0,4,39],[1,2,14],[1,3,39],[1,4,73],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=11,(1,2)=14,(2,3)=27,(0,4)=39,(1,3)=39,(0,1)=58,(1,4)=73]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=0, Add (1,2)=14 Succeeded, w=25\",\"Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=25\",\"Find(0)=0, Find(4)=4, Add (0,4)=39 Succeeded, w=64\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=64\",\"Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=64\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,11],[0,3,0],[0,4,39],[1,2,14],[1,3,39],[1,4,73],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=11,(1,2)=14,(2,3)=27,(0,4)=39,(1,3)=39,(0,1)=58,(1,4)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=27 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=39 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,90],[0,3,24],[1,2,38],[1,3,59],[1,4,81],[2,3,7],[2,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,24],[1,2,38],[1,3,59],[1,4,81],[2,3,7],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,24],[1,2,38],[1,3,59],[1,4,81],[2,3,7],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,24],[1,2,38],[1,3,59],[1,4,81],[2,3,7],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (0,3)=24, w=31\",\"Add (1,2)=38, w=69\",\"Add (2,4)=48, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,24],[1,2,38],[1,3,59],[1,4,81],[2,3,7],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (0,3)=24 Succeeded, w=31\",\"Add (1,2)=38 Succeeded, w=69\",\"Add (2,4)=48 Succeeded, w=117\",\"Add (1,3)=59 Failed, w=117\",\"Add (1,4)=81 Failed, w=117\",\"Add (0,2)=90 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,24],[1,2,38],[1,3,59],[1,4,81],[2,3,7],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,3)=24,(1,2)=38,(2,4)=48,(1,3)=59,(1,4)=81,(0,2)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=2, Add (0,3)=24 Succeeded, w=31\",\"Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=69\",\"Find(2)=2, Find(4)=4, Add (2,4)=48 Succeeded, w=117\",\"Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=117\",\"Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=117\",\"Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,24],[1,2,38],[1,3,59],[1,4,81],[2,3,7],[2,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,3)=24,(1,2)=38,(2,4)=48,(1,3)=59,(1,4)=81,(0,2)=90]\",\"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: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=24 Succeeded, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=48 Succeeded, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,94],[0,3,65],[1,2,52],[2,3,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,3,65],[1,2,52],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,3,65],[1,2,52],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,3,65],[1,2,52],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=36, w=36\",\"Add (1,2)=52, w=88\",\"Add (0,3)=65, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,3,65],[1,2,52],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=36 Succeeded, w=36\",\"Add (1,2)=52 Succeeded, w=88\",\"Add (0,3)=65 Succeeded, w=153\",\"Add (0,1)=94 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,3,65],[1,2,52],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=36,(1,2)=52,(0,3)=65,(0,1)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=36\",\"Find(1)=1, Find(2)=2, Add (1,2)=52 Succeeded, w=88\",\"Find(0)=0, Find(3)=2, Add (0,3)=65 Succeeded, w=153\",\"Find(0)=2, Find(1)=2, Add (0,1)=94 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,3,65],[1,2,52],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=36,(1,2)=52,(0,3)=65,(0,1)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=52 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=65 Succeeded, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=94 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,8],[0,2,50],[0,3,29],[0,6,10],[1,2,21],[1,3,77],[1,4,23],[1,5,35],[1,6,0],[2,3,51],[2,5,100],[3,5,18],[3,6,30],[4,5,86],[4,6,23],[5,6,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,50],[0,3,29],[0,6,10],[1,2,21],[1,3,77],[1,4,23],[1,5,35],[1,6,0],[2,3,51],[2,5,100],[3,5,18],[3,6,30],[4,5,86],[4,6,23],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,50],[0,3,29],[0,6,10],[1,2,21],[1,3,77],[1,4,23],[1,5,35],[1,6,0],[2,3,51],[2,5,100],[3,5,18],[3,6,30],[4,5,86],[4,6,23],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,50],[0,3,29],[0,6,10],[1,2,21],[1,3,77],[1,4,23],[1,5,35],[1,6,0],[2,3,51],[2,5,100],[3,5,18],[3,6,30],[4,5,86],[4,6,23],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0, w=0\",\"Add (0,1)=8, w=8\",\"Add (5,6)=16, w=24\",\"Add (3,5)=18, w=42\",\"Add (1,2)=21, w=63\",\"Add (1,4)=23, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,50],[0,3,29],[0,6,10],[1,2,21],[1,3,77],[1,4,23],[1,5,35],[1,6,0],[2,3,51],[2,5,100],[3,5,18],[3,6,30],[4,5,86],[4,6,23],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0 Succeeded, w=0\",\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,6)=10 Failed, w=8\",\"Add (5,6)=16 Succeeded, w=24\",\"Add (3,5)=18 Succeeded, w=42\",\"Add (1,2)=21 Succeeded, w=63\",\"Add (1,4)=23 Succeeded, w=86\",\"Add (4,6)=23 Failed, w=86\",\"Add (0,3)=29 Failed, w=86\",\"Add (3,6)=30 Failed, w=86\",\"Add (1,5)=35 Failed, w=86\",\"Add (0,2)=50 Failed, w=86\",\"Add (2,3)=51 Failed, w=86\",\"Add (1,3)=77 Failed, w=86\",\"Add (4,5)=86 Failed, w=86\",\"Add (2,5)=100 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,50],[0,3,29],[0,6,10],[1,2,21],[1,3,77],[1,4,23],[1,5,35],[1,6,0],[2,3,51],[2,5,100],[3,5,18],[3,6,30],[4,5,86],[4,6,23],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(0,1)=8,(0,6)=10,(5,6)=16,(3,5)=18,(1,2)=21,(1,4)=23,(4,6)=23,(0,3)=29,(3,6)=30,(1,5)=35,(0,2)=50,(2,3)=51,(1,3)=77,(4,5)=86,(2,5)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=1, Find(6)=1, Add (0,6)=10 Failed, w=8\",\"Find(5)=5, Find(6)=1, Add (5,6)=16 Succeeded, w=24\",\"Find(3)=3, Find(5)=1, Add (3,5)=18 Succeeded, w=42\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=63\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=86\",\"Find(4)=1, Find(6)=1, Add (4,6)=23 Failed, w=86\",\"Find(0)=1, Find(3)=1, Add (0,3)=29 Failed, w=86\",\"Find(3)=1, Find(6)=1, Add (3,6)=30 Failed, w=86\",\"Find(1)=1, Find(5)=1, Add (1,5)=35 Failed, w=86\",\"Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=86\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=86\",\"Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=86\",\"Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=86\",\"Find(2)=1, Find(5)=1, Add (2,5)=100 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,50],[0,3,29],[0,6,10],[1,2,21],[1,3,77],[1,4,23],[1,5,35],[1,6,0],[2,3,51],[2,5,100],[3,5,18],[3,6,30],[4,5,86],[4,6,23],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(0,1)=8,(0,6)=10,(5,6)=16,(3,5)=18,(1,2)=21,(1,4)=23,(4,6)=23,(0,3)=29,(3,6)=30,(1,5)=35,(0,2)=50,(2,3)=51,(1,3)=77,(4,5)=86,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=10 Failed, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=16 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=3, Find(5)=1, Add (3,5)=18 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=23 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=29 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=30 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=35 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=100 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,3,98],[0,4,44],[0,6,55],[1,2,40],[1,3,2],[1,4,81],[1,5,59],[2,3,84],[2,4,68],[2,6,44],[3,5,9],[3,6,91],[4,6,57],[5,6,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,98],[0,4,44],[0,6,55],[1,2,40],[1,3,2],[1,4,81],[1,5,59],[2,3,84],[2,4,68],[2,6,44],[3,5,9],[3,6,91],[4,6,57],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,98],[0,4,44],[0,6,55],[1,2,40],[1,3,2],[1,4,81],[1,5,59],[2,3,84],[2,4,68],[2,6,44],[3,5,9],[3,6,91],[4,6,57],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (2,6)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,98],[0,4,44],[0,6,55],[1,2,40],[1,3,2],[1,4,81],[1,5,59],[2,3,84],[2,4,68],[2,6,44],[3,5,9],[3,6,91],[4,6,57],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,1)=9, w=11\",\"Add (3,5)=9, w=20\",\"Add (1,2)=40, w=60\",\"Add (0,4)=44, w=104\",\"Add (2,6)=44, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,98],[0,4,44],[0,6,55],[1,2,40],[1,3,2],[1,4,81],[1,5,59],[2,3,84],[2,4,68],[2,6,44],[3,5,9],[3,6,91],[4,6,57],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,1)=9 Succeeded, w=11\",\"Add (3,5)=9 Succeeded, w=20\",\"Add (1,2)=40 Succeeded, w=60\",\"Add (0,4)=44 Succeeded, w=104\",\"Add (2,6)=44 Succeeded, w=148\",\"Add (0,6)=55 Failed, w=148\",\"Add (4,6)=57 Failed, w=148\",\"Add (1,5)=59 Failed, w=148\",\"Add (2,4)=68 Failed, w=148\",\"Add (1,4)=81 Failed, w=148\",\"Add (2,3)=84 Failed, w=148\",\"Add (3,6)=91 Failed, w=148\",\"Add (0,3)=98 Failed, w=148\",\"Add (5,6)=99 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,98],[0,4,44],[0,6,55],[1,2,40],[1,3,2],[1,4,81],[1,5,59],[2,3,84],[2,4,68],[2,6,44],[3,5,9],[3,6,91],[4,6,57],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,1)=9,(3,5)=9,(1,2)=40,(0,4)=44,(2,6)=44,(0,6)=55,(4,6)=57,(1,5)=59,(2,4)=68,(1,4)=81,(2,3)=84,(3,6)=91,(0,3)=98,(5,6)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=11\",\"Find(3)=1, Find(5)=5, Add (3,5)=9 Succeeded, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=60\",\"Find(0)=1, Find(4)=4, Add (0,4)=44 Succeeded, w=104\",\"Find(2)=1, Find(6)=6, Add (2,6)=44 Succeeded, w=148\",\"Find(0)=1, Find(6)=1, Add (0,6)=55 Failed, w=148\",\"Find(4)=1, Find(6)=1, Add (4,6)=57 Failed, w=148\",\"Find(1)=1, Find(5)=1, Add (1,5)=59 Failed, w=148\",\"Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=148\",\"Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=148\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=148\",\"Find(3)=1, Find(6)=1, Add (3,6)=91 Failed, w=148\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=148\",\"Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,98],[0,4,44],[0,6,55],[1,2,40],[1,3,2],[1,4,81],[1,5,59],[2,3,84],[2,4,68],[2,6,44],[3,5,9],[3,6,91],[4,6,57],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,1)=9,(3,5)=9,(1,2)=40,(0,4)=44,(2,6)=44,(0,6)=55,(4,6)=57,(1,5)=59,(2,4)=68,(1,4)=81,(2,3)=84,(3,6)=91,(0,3)=98,(5,6)=99]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(3)=1, Find(5)=5, Add (3,5)=9 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(4)=4, Add (0,4)=44 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=44 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=55 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=57 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=59 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=91 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,3,44],[2,4,84],[3,4,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,3,44],[2,4,84],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,3,44],[2,4,84],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,3,44],[2,4,84],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=44, w=44\",\"Add (0,1)=80, w=124\",\"Add (2,4)=84, w=208\",\"Add (3,4)=92, w=300\"],\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,3,44],[2,4,84],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=44 Succeeded, w=44\",\"Add (0,1)=80 Succeeded, w=124\",\"Add (2,4)=84 Succeeded, w=208\",\"Add (3,4)=92 Succeeded, w=300\"],\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,3,44],[2,4,84],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=44,(0,1)=80,(2,4)=84,(3,4)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=124\",\"Find(2)=2, Find(4)=4, Add (2,4)=84 Succeeded, w=208\",\"Find(3)=0, Find(4)=2, Add (3,4)=92 Succeeded, w=300\"],\"Answer\":300}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,3,44],[2,4,84],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=44,(0,1)=80,(2,4)=84,(3,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=80 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=84 Succeeded, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(3)=0, Find(4)=2, Add (3,4)=92 Succeeded, w=300\"],\"Answer\":300}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,75],[0,3,62],[0,4,81],[0,5,61],[0,6,37],[0,7,19],[1,4,47],[1,5,100],[1,6,78],[1,7,22],[2,3,31],[2,5,96],[2,7,6],[3,4,58],[3,5,62],[4,5,71],[4,7,32],[5,6,33],[5,7,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,62],[0,4,81],[0,5,61],[0,6,37],[0,7,19],[1,4,47],[1,5,100],[1,6,78],[1,7,22],[2,3,31],[2,5,96],[2,7,6],[3,4,58],[3,5,62],[4,5,71],[4,7,32],[5,6,33],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,62],[0,4,81],[0,5,61],[0,6,37],[0,7,19],[1,4,47],[1,5,100],[1,6,78],[1,7,22],[2,3,31],[2,5,96],[2,7,6],[3,4,58],[3,5,62],[4,5,71],[4,7,32],[5,6,33],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (2,7)\",\"Add (0,7)\",\"Add (1,7)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (5,6)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,62],[0,4,81],[0,5,61],[0,6,37],[0,7,19],[1,4,47],[1,5,100],[1,6,78],[1,7,22],[2,3,31],[2,5,96],[2,7,6],[3,4,58],[3,5,62],[4,5,71],[4,7,32],[5,6,33],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2, w=2\",\"Add (2,7)=6, w=8\",\"Add (0,7)=19, w=27\",\"Add (1,7)=22, w=49\",\"Add (2,3)=31, w=80\",\"Add (4,7)=32, w=112\",\"Add (5,6)=33, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,62],[0,4,81],[0,5,61],[0,6,37],[0,7,19],[1,4,47],[1,5,100],[1,6,78],[1,7,22],[2,3,31],[2,5,96],[2,7,6],[3,4,58],[3,5,62],[4,5,71],[4,7,32],[5,6,33],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2 Succeeded, w=2\",\"Add (2,7)=6 Succeeded, w=8\",\"Add (0,7)=19 Succeeded, w=27\",\"Add (1,7)=22 Succeeded, w=49\",\"Add (2,3)=31 Succeeded, w=80\",\"Add (4,7)=32 Succeeded, w=112\",\"Add (5,6)=33 Succeeded, w=145\",\"Add (0,6)=37 Failed, w=145\",\"Add (1,4)=47 Failed, w=145\",\"Add (3,4)=58 Failed, w=145\",\"Add (0,5)=61 Failed, w=145\",\"Add (0,3)=62 Failed, w=145\",\"Add (3,5)=62 Failed, w=145\",\"Add (4,5)=71 Failed, w=145\",\"Add (0,2)=75 Failed, w=145\",\"Add (1,6)=78 Failed, w=145\",\"Add (0,4)=81 Failed, w=145\",\"Add (2,5)=96 Failed, w=145\",\"Add (1,5)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,62],[0,4,81],[0,5,61],[0,6,37],[0,7,19],[1,4,47],[1,5,100],[1,6,78],[1,7,22],[2,3,31],[2,5,96],[2,7,6],[3,4,58],[3,5,62],[4,5,71],[4,7,32],[5,6,33],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(2,7)=6,(0,7)=19,(1,7)=22,(2,3)=31,(4,7)=32,(5,6)=33,(0,6)=37,(1,4)=47,(3,4)=58,(0,5)=61,(0,3)=62,(3,5)=62,(4,5)=71,(0,2)=75,(1,6)=78,(0,4)=81,(2,5)=96,(1,5)=100]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Find(2)=2, Find(7)=5, Add (2,7)=6 Succeeded, w=8\",\"Find(0)=0, Find(7)=5, Add (0,7)=19 Succeeded, w=27\",\"Find(1)=1, Find(7)=5, Add (1,7)=22 Succeeded, w=49\",\"Find(2)=5, Find(3)=3, Add (2,3)=31 Succeeded, w=80\",\"Find(4)=4, Find(7)=5, Add (4,7)=32 Succeeded, w=112\",\"Find(5)=5, Find(6)=6, Add (5,6)=33 Succeeded, w=145\",\"Find(0)=5, Find(6)=5, Add (0,6)=37 Failed, w=145\",\"Find(1)=5, Find(4)=5, Add (1,4)=47 Failed, w=145\",\"Find(3)=5, Find(4)=5, Add (3,4)=58 Failed, w=145\",\"Find(0)=5, Find(5)=5, Add (0,5)=61 Failed, w=145\",\"Find(0)=5, Find(3)=5, Add (0,3)=62 Failed, w=145\",\"Find(3)=5, Find(5)=5, Add (3,5)=62 Failed, w=145\",\"Find(4)=5, Find(5)=5, Add (4,5)=71 Failed, w=145\",\"Find(0)=5, Find(2)=5, Add (0,2)=75 Failed, w=145\",\"Find(1)=5, Find(6)=5, Add (1,6)=78 Failed, w=145\",\"Find(0)=5, Find(4)=5, Add (0,4)=81 Failed, w=145\",\"Find(2)=5, Find(5)=5, Add (2,5)=96 Failed, w=145\",\"Find(1)=5, Find(5)=5, Add (1,5)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,3,62],[0,4,81],[0,5,61],[0,6,37],[0,7,19],[1,4,47],[1,5,100],[1,6,78],[1,7,22],[2,3,31],[2,5,96],[2,7,6],[3,4,58],[3,5,62],[4,5,71],[4,7,32],[5,6,33],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(2,7)=6,(0,7)=19,(1,7)=22,(2,3)=31,(4,7)=32,(5,6)=33,(0,6)=37,(1,4)=47,(3,4)=58,(0,5)=61,(0,3)=62,(3,5)=62,(4,5)=71,(0,2)=75,(1,6)=78,(0,4)=81,(2,5)=96,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(2)=2, Find(7)=5, Add (2,7)=6 Succeeded, w=8\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=19 Succeeded, w=27\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=22 Succeeded, w=49\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 6, 7: 5}, Find(2)=5, Find(3)=3, Add (2,3)=31 Succeeded, w=80\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 6, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=32 Succeeded, w=112\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=6, Add (5,6)=33 Succeeded, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=37 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=47 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=5, Add (3,4)=58 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=61 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=62 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=62 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=71 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=5, Add (0,2)=75 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=78 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=81 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=96 Failed, w=145\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,25],[0,2,89],[1,2,5],[1,3,81],[2,3,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,89],[1,2,5],[1,3,81],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,89],[1,2,5],[1,3,81],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,89],[1,2,5],[1,3,81],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (0,1)=25, w=30\",\"Add (2,3)=53, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,89],[1,2,5],[1,3,81],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (0,1)=25 Succeeded, w=30\",\"Add (2,3)=53 Succeeded, w=83\",\"Add (1,3)=81 Failed, w=83\",\"Add (0,2)=89 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,89],[1,2,5],[1,3,81],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,1)=25,(2,3)=53,(1,3)=81,(0,2)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=30\",\"Find(2)=1, Find(3)=3, Add (2,3)=53 Succeeded, w=83\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=83\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,89],[1,2,5],[1,3,81],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,1)=25,(2,3)=53,(1,3)=81,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=53 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,4,83],[0,5,41],[1,2,48],[1,3,36],[1,4,97],[1,5,16],[1,6,82],[2,3,99],[2,4,85],[3,4,71],[3,6,55],[4,6,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,4,83],[0,5,41],[1,2,48],[1,3,36],[1,4,97],[1,5,16],[1,6,82],[2,3,99],[2,4,85],[3,4,71],[3,6,55],[4,6,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,4,83],[0,5,41],[1,2,48],[1,3,36],[1,4,97],[1,5,16],[1,6,82],[2,3,99],[2,4,85],[3,4,71],[3,6,55],[4,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (3,6)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,4,83],[0,5,41],[1,2,48],[1,3,36],[1,4,97],[1,5,16],[1,6,82],[2,3,99],[2,4,85],[3,4,71],[3,6,55],[4,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2, w=2\",\"Add (1,5)=16, w=18\",\"Add (1,3)=36, w=54\",\"Add (0,5)=41, w=95\",\"Add (1,2)=48, w=143\",\"Add (3,6)=55, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,4,83],[0,5,41],[1,2,48],[1,3,36],[1,4,97],[1,5,16],[1,6,82],[2,3,99],[2,4,85],[3,4,71],[3,6,55],[4,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2 Succeeded, w=2\",\"Add (1,5)=16 Succeeded, w=18\",\"Add (1,3)=36 Succeeded, w=54\",\"Add (0,5)=41 Succeeded, w=95\",\"Add (0,1)=48 Failed, w=95\",\"Add (1,2)=48 Succeeded, w=143\",\"Add (3,6)=55 Succeeded, w=198\",\"Add (3,4)=71 Failed, w=198\",\"Add (1,6)=82 Failed, w=198\",\"Add (0,4)=83 Failed, w=198\",\"Add (2,4)=85 Failed, w=198\",\"Add (1,4)=97 Failed, w=198\",\"Add (2,3)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,4,83],[0,5,41],[1,2,48],[1,3,36],[1,4,97],[1,5,16],[1,6,82],[2,3,99],[2,4,85],[3,4,71],[3,6,55],[4,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(1,5)=16,(1,3)=36,(0,5)=41,(0,1)=48,(1,2)=48,(3,6)=55,(3,4)=71,(1,6)=82,(0,4)=83,(2,4)=85,(1,4)=97,(2,3)=99]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=18\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=54\",\"Find(0)=0, Find(5)=1, Add (0,5)=41 Succeeded, w=95\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=95\",\"Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=143\",\"Find(3)=1, Find(6)=4, Add (3,6)=55 Succeeded, w=198\",\"Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=198\",\"Find(1)=1, Find(6)=1, Add (1,6)=82 Failed, w=198\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=198\",\"Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=198\",\"Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=198\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,4,83],[0,5,41],[1,2,48],[1,3,36],[1,4,97],[1,5,16],[1,6,82],[2,3,99],[2,4,85],[3,4,71],[3,6,55],[4,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(1,5)=16,(1,3)=36,(0,5)=41,(0,1)=48,(1,2)=48,(3,6)=55,(3,4)=71,(1,6)=82,(0,4)=83,(2,4)=85,(1,4)=97,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 4}, Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 4}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 4}, Find(0)=0, Find(5)=1, Add (0,5)=41 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 4}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4}, Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(3)=1, Find(6)=4, Add (3,6)=55 Succeeded, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=82 Failed, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,32],[0,2,26],[0,3,67],[0,4,83],[0,5,5],[0,6,96],[1,2,11],[1,3,16],[1,4,24],[1,5,21],[1,6,63],[2,3,20],[2,4,52],[2,5,25],[2,6,51],[3,4,46],[3,5,98],[3,6,44],[4,5,53],[4,6,3],[5,6,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,26],[0,3,67],[0,4,83],[0,5,5],[0,6,96],[1,2,11],[1,3,16],[1,4,24],[1,5,21],[1,6,63],[2,3,20],[2,4,52],[2,5,25],[2,6,51],[3,4,46],[3,5,98],[3,6,44],[4,5,53],[4,6,3],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,26],[0,3,67],[0,4,83],[0,5,5],[0,6,96],[1,2,11],[1,3,16],[1,4,24],[1,5,21],[1,6,63],[2,3,20],[2,4,52],[2,5,25],[2,6,51],[3,4,46],[3,5,98],[3,6,44],[4,5,53],[4,6,3],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (1,4)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,26],[0,3,67],[0,4,83],[0,5,5],[0,6,96],[1,2,11],[1,3,16],[1,4,24],[1,5,21],[1,6,63],[2,3,20],[2,4,52],[2,5,25],[2,6,51],[3,4,46],[3,5,98],[3,6,44],[4,5,53],[4,6,3],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3, w=3\",\"Add (0,5)=5, w=8\",\"Add (1,2)=11, w=19\",\"Add (1,3)=16, w=35\",\"Add (1,5)=21, w=56\",\"Add (1,4)=24, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,26],[0,3,67],[0,4,83],[0,5,5],[0,6,96],[1,2,11],[1,3,16],[1,4,24],[1,5,21],[1,6,63],[2,3,20],[2,4,52],[2,5,25],[2,6,51],[3,4,46],[3,5,98],[3,6,44],[4,5,53],[4,6,3],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3 Succeeded, w=3\",\"Add (0,5)=5 Succeeded, w=8\",\"Add (1,2)=11 Succeeded, w=19\",\"Add (1,3)=16 Succeeded, w=35\",\"Add (2,3)=20 Failed, w=35\",\"Add (1,5)=21 Succeeded, w=56\",\"Add (1,4)=24 Succeeded, w=80\",\"Add (2,5)=25 Failed, w=80\",\"Add (0,2)=26 Failed, w=80\",\"Add (5,6)=26 Failed, w=80\",\"Add (0,1)=32 Failed, w=80\",\"Add (3,6)=44 Failed, w=80\",\"Add (3,4)=46 Failed, w=80\",\"Add (2,6)=51 Failed, w=80\",\"Add (2,4)=52 Failed, w=80\",\"Add (4,5)=53 Failed, w=80\",\"Add (1,6)=63 Failed, w=80\",\"Add (0,3)=67 Failed, w=80\",\"Add (0,4)=83 Failed, w=80\",\"Add (0,6)=96 Failed, w=80\",\"Add (3,5)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,26],[0,3,67],[0,4,83],[0,5,5],[0,6,96],[1,2,11],[1,3,16],[1,4,24],[1,5,21],[1,6,63],[2,3,20],[2,4,52],[2,5,25],[2,6,51],[3,4,46],[3,5,98],[3,6,44],[4,5,53],[4,6,3],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(0,5)=5,(1,2)=11,(1,3)=16,(2,3)=20,(1,5)=21,(1,4)=24,(2,5)=25,(0,2)=26,(5,6)=26,(0,1)=32,(3,6)=44,(3,4)=46,(2,6)=51,(2,4)=52,(4,5)=53,(1,6)=63,(0,3)=67,(0,4)=83,(0,6)=96,(3,5)=98]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=35\",\"Find(2)=1, Find(3)=1, Add (2,3)=20 Failed, w=35\",\"Find(1)=1, Find(5)=0, Add (1,5)=21 Succeeded, w=56\",\"Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=80\",\"Find(2)=1, Find(5)=1, Add (2,5)=25 Failed, w=80\",\"Find(0)=1, Find(2)=1, Add (0,2)=26 Failed, w=80\",\"Find(5)=1, Find(6)=1, Add (5,6)=26 Failed, w=80\",\"Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=80\",\"Find(3)=1, Find(6)=1, Add (3,6)=44 Failed, w=80\",\"Find(3)=1, Find(4)=1, Add (3,4)=46 Failed, w=80\",\"Find(2)=1, Find(6)=1, Add (2,6)=51 Failed, w=80\",\"Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=80\",\"Find(4)=1, Find(5)=1, Add (4,5)=53 Failed, w=80\",\"Find(1)=1, Find(6)=1, Add (1,6)=63 Failed, w=80\",\"Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=80\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=80\",\"Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=80\",\"Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,26],[0,3,67],[0,4,83],[0,5,5],[0,6,96],[1,2,11],[1,3,16],[1,4,24],[1,5,21],[1,6,63],[2,3,20],[2,4,52],[2,5,25],[2,6,51],[3,4,46],[3,5,98],[3,6,44],[4,5,53],[4,6,3],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(0,5)=5,(1,2)=11,(1,3)=16,(2,3)=20,(1,5)=21,(1,4)=24,(2,5)=25,(0,2)=26,(5,6)=26,(0,1)=32,(3,6)=44,(3,4)=46,(2,6)=51,(2,4)=52,(4,5)=53,(1,6)=63,(0,3)=67,(0,4)=83,(0,6)=96,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 4}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 4}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 4}, Find(2)=1, Find(3)=1, Add (2,3)=20 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 4}, Find(1)=1, Find(5)=0, Add (1,5)=21 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(2)=1, Find(5)=1, Add (2,5)=25 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(0)=1, Find(2)=1, Add (0,2)=26 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=26 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=44 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=46 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=51 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=53 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=63 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,45],[0,2,0],[0,3,44],[1,2,49],[1,3,89],[2,3,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,0],[0,3,44],[1,2,49],[1,3,89],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,0],[0,3,44],[1,2,49],[1,3,89],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,0],[0,3,44],[1,2,49],[1,3,89],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (0,3)=44, w=44\",\"Add (0,1)=45, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,0],[0,3,44],[1,2,49],[1,3,89],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (0,3)=44 Succeeded, w=44\",\"Add (0,1)=45 Succeeded, w=89\",\"Add (1,2)=49 Failed, w=89\",\"Add (2,3)=81 Failed, w=89\",\"Add (1,3)=89 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,0],[0,3,44],[1,2,49],[1,3,89],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,3)=44,(0,1)=45,(1,2)=49,(2,3)=81,(1,3)=89]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=89\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=89\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,0],[0,3,44],[1,2,49],[1,3,89],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,3)=44,(0,1)=45,(1,2)=49,(2,3)=81,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,23],[0,2,60],[0,3,82],[0,4,28],[0,5,32],[0,6,58],[0,7,71],[1,2,50],[1,3,78],[1,4,49],[1,5,96],[1,7,84],[2,3,25],[2,4,78],[2,6,11],[2,7,46],[3,5,12],[3,6,90],[3,7,2],[4,5,28],[4,6,10],[4,7,69],[5,6,23],[5,7,31],[6,7,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,60],[0,3,82],[0,4,28],[0,5,32],[0,6,58],[0,7,71],[1,2,50],[1,3,78],[1,4,49],[1,5,96],[1,7,84],[2,3,25],[2,4,78],[2,6,11],[2,7,46],[3,5,12],[3,6,90],[3,7,2],[4,5,28],[4,6,10],[4,7,69],[5,6,23],[5,7,31],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,60],[0,3,82],[0,4,28],[0,5,32],[0,6,58],[0,7,71],[1,2,50],[1,3,78],[1,4,49],[1,5,96],[1,7,84],[2,3,25],[2,4,78],[2,6,11],[2,7,46],[3,5,12],[3,6,90],[3,7,2],[4,5,28],[4,6,10],[4,7,69],[5,6,23],[5,7,31],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (4,6)\",\"Add (6,7)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,60],[0,3,82],[0,4,28],[0,5,32],[0,6,58],[0,7,71],[1,2,50],[1,3,78],[1,4,49],[1,5,96],[1,7,84],[2,3,25],[2,4,78],[2,6,11],[2,7,46],[3,5,12],[3,6,90],[3,7,2],[4,5,28],[4,6,10],[4,7,69],[5,6,23],[5,7,31],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=2, w=2\",\"Add (4,6)=10, w=12\",\"Add (6,7)=10, w=22\",\"Add (2,6)=11, w=33\",\"Add (3,5)=12, w=45\",\"Add (0,1)=23, w=68\",\"Add (0,4)=28, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,60],[0,3,82],[0,4,28],[0,5,32],[0,6,58],[0,7,71],[1,2,50],[1,3,78],[1,4,49],[1,5,96],[1,7,84],[2,3,25],[2,4,78],[2,6,11],[2,7,46],[3,5,12],[3,6,90],[3,7,2],[4,5,28],[4,6,10],[4,7,69],[5,6,23],[5,7,31],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=2 Succeeded, w=2\",\"Add (4,6)=10 Succeeded, w=12\",\"Add (6,7)=10 Succeeded, w=22\",\"Add (2,6)=11 Succeeded, w=33\",\"Add (3,5)=12 Succeeded, w=45\",\"Add (0,1)=23 Succeeded, w=68\",\"Add (5,6)=23 Failed, w=68\",\"Add (2,3)=25 Failed, w=68\",\"Add (0,4)=28 Succeeded, w=96\",\"Add (4,5)=28 Failed, w=96\",\"Add (5,7)=31 Failed, w=96\",\"Add (0,5)=32 Failed, w=96\",\"Add (2,7)=46 Failed, w=96\",\"Add (1,4)=49 Failed, w=96\",\"Add (1,2)=50 Failed, w=96\",\"Add (0,6)=58 Failed, w=96\",\"Add (0,2)=60 Failed, w=96\",\"Add (4,7)=69 Failed, w=96\",\"Add (0,7)=71 Failed, w=96\",\"Add (1,3)=78 Failed, w=96\",\"Add (2,4)=78 Failed, w=96\",\"Add (0,3)=82 Failed, w=96\",\"Add (1,7)=84 Failed, w=96\",\"Add (3,6)=90 Failed, w=96\",\"Add (1,5)=96 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,60],[0,3,82],[0,4,28],[0,5,32],[0,6,58],[0,7,71],[1,2,50],[1,3,78],[1,4,49],[1,5,96],[1,7,84],[2,3,25],[2,4,78],[2,6,11],[2,7,46],[3,5,12],[3,6,90],[3,7,2],[4,5,28],[4,6,10],[4,7,69],[5,6,23],[5,7,31],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=2,(4,6)=10,(6,7)=10,(2,6)=11,(3,5)=12,(0,1)=23,(5,6)=23,(2,3)=25,(0,4)=28,(4,5)=28,(5,7)=31,(0,5)=32,(2,7)=46,(1,4)=49,(1,2)=50,(0,6)=58,(0,2)=60,(4,7)=69,(0,7)=71,(1,3)=78,(2,4)=78,(0,3)=82,(1,7)=84,(3,6)=90,(1,5)=96]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=2 Succeeded, w=2\",\"Find(4)=4, Find(6)=6, Add (4,6)=10 Succeeded, w=12\",\"Find(6)=4, Find(7)=3, Add (6,7)=10 Succeeded, w=22\",\"Find(2)=2, Find(6)=4, Add (2,6)=11 Succeeded, w=33\",\"Find(3)=4, Find(5)=5, Add (3,5)=12 Succeeded, w=45\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=68\",\"Find(5)=4, Find(6)=4, Add (5,6)=23 Failed, w=68\",\"Find(2)=4, Find(3)=4, Add (2,3)=25 Failed, w=68\",\"Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=96\",\"Find(4)=4, Find(5)=4, Add (4,5)=28 Failed, w=96\",\"Find(5)=4, Find(7)=4, Add (5,7)=31 Failed, w=96\",\"Find(0)=4, Find(5)=4, Add (0,5)=32 Failed, w=96\",\"Find(2)=4, Find(7)=4, Add (2,7)=46 Failed, w=96\",\"Find(1)=4, Find(4)=4, Add (1,4)=49 Failed, w=96\",\"Find(1)=4, Find(2)=4, Add (1,2)=50 Failed, w=96\",\"Find(0)=4, Find(6)=4, Add (0,6)=58 Failed, w=96\",\"Find(0)=4, Find(2)=4, Add (0,2)=60 Failed, w=96\",\"Find(4)=4, Find(7)=4, Add (4,7)=69 Failed, w=96\",\"Find(0)=4, Find(7)=4, Add (0,7)=71 Failed, w=96\",\"Find(1)=4, Find(3)=4, Add (1,3)=78 Failed, w=96\",\"Find(2)=4, Find(4)=4, Add (2,4)=78 Failed, w=96\",\"Find(0)=4, Find(3)=4, Add (0,3)=82 Failed, w=96\",\"Find(1)=4, Find(7)=4, Add (1,7)=84 Failed, w=96\",\"Find(3)=4, Find(6)=4, Add (3,6)=90 Failed, w=96\",\"Find(1)=4, Find(5)=4, Add (1,5)=96 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,60],[0,3,82],[0,4,28],[0,5,32],[0,6,58],[0,7,71],[1,2,50],[1,3,78],[1,4,49],[1,5,96],[1,7,84],[2,3,25],[2,4,78],[2,6,11],[2,7,46],[3,5,12],[3,6,90],[3,7,2],[4,5,28],[4,6,10],[4,7,69],[5,6,23],[5,7,31],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=2,(4,6)=10,(6,7)=10,(2,6)=11,(3,5)=12,(0,1)=23,(5,6)=23,(2,3)=25,(0,4)=28,(4,5)=28,(5,7)=31,(0,5)=32,(2,7)=46,(1,4)=49,(1,2)=50,(0,6)=58,(0,2)=60,(4,7)=69,(0,7)=71,(1,3)=78,(2,4)=78,(0,3)=82,(1,7)=84,(3,6)=90,(1,5)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 3}, Find(4)=4, Find(6)=6, Add (4,6)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 3}, Find(6)=4, Find(7)=3, Add (6,7)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4, 7: 3}, Find(2)=2, Find(6)=4, Add (2,6)=11 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(3)=4, Find(5)=5, Add (3,5)=12 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(5)=4, Find(6)=4, Add (5,6)=23 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(2)=4, Find(3)=4, Add (2,3)=25 Failed, w=68\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=96\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(4)=4, Find(5)=4, Add (4,5)=28 Failed, w=96\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=31 Failed, w=96\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=32 Failed, w=96\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=46 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=49 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=50 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=58 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=60 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=69 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=71 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=78 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=78 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=82 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=84 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=90 Failed, w=96\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=96 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,60],[0,2,93],[0,3,88],[1,3,9],[2,3,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,93],[0,3,88],[1,3,9],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,93],[0,3,88],[1,3,9],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,93],[0,3,88],[1,3,9],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (0,1)=60, w=69\",\"Add (2,3)=85, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,93],[0,3,88],[1,3,9],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (0,1)=60 Succeeded, w=69\",\"Add (2,3)=85 Succeeded, w=154\",\"Add (0,3)=88 Failed, w=154\",\"Add (0,2)=93 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,93],[0,3,88],[1,3,9],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(0,1)=60,(2,3)=85,(0,3)=88,(0,2)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=60 Succeeded, w=69\",\"Find(2)=2, Find(3)=1, Add (2,3)=85 Succeeded, w=154\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=154\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,60],[0,2,93],[0,3,88],[1,3,9],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(0,1)=60,(2,3)=85,(0,3)=88,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=60 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=85 Succeeded, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,2,21],[0,4,14],[1,2,24],[1,4,72],[2,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,21],[0,4,14],[1,2,24],[1,4,72],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,21],[0,4,14],[1,2,24],[1,4,72],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,21],[0,4,14],[1,2,24],[1,4,72],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14, w=14\",\"Add (0,2)=21, w=35\",\"Add (1,2)=24, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,21],[0,4,14],[1,2,24],[1,4,72],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14 Succeeded, w=14\",\"Add (0,2)=21 Succeeded, w=35\",\"Add (1,2)=24 Succeeded, w=59\",\"Add (2,4)=46 Failed, w=59\",\"Add (1,4)=72 Failed, w=59\",\"Add (0,1)=79 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,21],[0,4,14],[1,2,24],[1,4,72],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(0,2)=21,(1,2)=24,(2,4)=46,(1,4)=72,(0,1)=79]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=35\",\"Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=59\",\"Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=59\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=59\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,21],[0,4,14],[1,2,24],[1,4,72],[2,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(0,2)=21,(1,2)=24,(2,4)=46,(1,4)=72,(0,1)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,33],[0,2,33],[0,3,48],[1,2,42],[1,3,10],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,33],[0,3,48],[1,2,42],[1,3,10],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,33],[0,3,48],[1,2,42],[1,3,10],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,33],[0,3,48],[1,2,42],[1,3,10],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (0,1)=33, w=43\",\"Add (0,2)=33, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,33],[0,3,48],[1,2,42],[1,3,10],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (0,1)=33 Succeeded, w=43\",\"Add (0,2)=33 Succeeded, w=76\",\"Add (1,2)=42 Failed, w=76\",\"Add (0,3)=48 Failed, w=76\",\"Add (2,3)=69 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,33],[0,3,48],[1,2,42],[1,3,10],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,1)=33,(0,2)=33,(1,2)=42,(0,3)=48,(2,3)=69]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=43\",\"Find(0)=1, Find(2)=2, Add (0,2)=33 Succeeded, w=76\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=76\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=76\",\"Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,33],[0,3,48],[1,2,42],[1,3,10],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,1)=33,(0,2)=33,(1,2)=42,(0,3)=48,(2,3)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=33 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,2,20],[0,3,50],[0,4,90],[0,5,34],[1,3,1],[1,5,54],[1,6,31],[2,3,84],[2,4,32],[2,5,73],[2,6,84],[3,4,40],[3,5,17],[3,6,21],[4,5,38],[4,6,55],[5,6,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,20],[0,3,50],[0,4,90],[0,5,34],[1,3,1],[1,5,54],[1,6,31],[2,3,84],[2,4,32],[2,5,73],[2,6,84],[3,4,40],[3,5,17],[3,6,21],[4,5,38],[4,6,55],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,20],[0,3,50],[0,4,90],[0,5,34],[1,3,1],[1,5,54],[1,6,31],[2,3,84],[2,4,32],[2,5,73],[2,6,84],[3,4,40],[3,5,17],[3,6,21],[4,5,38],[4,6,55],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,20],[0,3,50],[0,4,90],[0,5,34],[1,3,1],[1,5,54],[1,6,31],[2,3,84],[2,4,32],[2,5,73],[2,6,84],[3,4,40],[3,5,17],[3,6,21],[4,5,38],[4,6,55],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (3,5)=17, w=18\",\"Add (0,2)=20, w=38\",\"Add (3,6)=21, w=59\",\"Add (2,4)=32, w=91\",\"Add (0,5)=34, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,20],[0,3,50],[0,4,90],[0,5,34],[1,3,1],[1,5,54],[1,6,31],[2,3,84],[2,4,32],[2,5,73],[2,6,84],[3,4,40],[3,5,17],[3,6,21],[4,5,38],[4,6,55],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (3,5)=17 Succeeded, w=18\",\"Add (0,2)=20 Succeeded, w=38\",\"Add (3,6)=21 Succeeded, w=59\",\"Add (1,6)=31 Failed, w=59\",\"Add (2,4)=32 Succeeded, w=91\",\"Add (0,5)=34 Succeeded, w=125\",\"Add (4,5)=38 Failed, w=125\",\"Add (3,4)=40 Failed, w=125\",\"Add (0,1)=48 Failed, w=125\",\"Add (0,3)=50 Failed, w=125\",\"Add (1,5)=54 Failed, w=125\",\"Add (4,6)=55 Failed, w=125\",\"Add (5,6)=55 Failed, w=125\",\"Add (2,5)=73 Failed, w=125\",\"Add (2,3)=84 Failed, w=125\",\"Add (2,6)=84 Failed, w=125\",\"Add (0,4)=90 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,20],[0,3,50],[0,4,90],[0,5,34],[1,3,1],[1,5,54],[1,6,31],[2,3,84],[2,4,32],[2,5,73],[2,6,84],[3,4,40],[3,5,17],[3,6,21],[4,5,38],[4,6,55],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(3,5)=17,(0,2)=20,(3,6)=21,(1,6)=31,(2,4)=32,(0,5)=34,(4,5)=38,(3,4)=40,(0,1)=48,(0,3)=50,(1,5)=54,(4,6)=55,(5,6)=55,(2,5)=73,(2,3)=84,(2,6)=84,(0,4)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(3)=1, Find(5)=5, Add (3,5)=17 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=38\",\"Find(3)=1, Find(6)=6, Add (3,6)=21 Succeeded, w=59\",\"Find(1)=1, Find(6)=1, Add (1,6)=31 Failed, w=59\",\"Find(2)=0, Find(4)=4, Add (2,4)=32 Succeeded, w=91\",\"Find(0)=0, Find(5)=1, Add (0,5)=34 Succeeded, w=125\",\"Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=125\",\"Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=125\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=125\",\"Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=125\",\"Find(4)=0, Find(6)=0, Add (4,6)=55 Failed, w=125\",\"Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=125\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=125\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=125\",\"Find(2)=0, Find(6)=0, Add (2,6)=84 Failed, w=125\",\"Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,20],[0,3,50],[0,4,90],[0,5,34],[1,3,1],[1,5,54],[1,6,31],[2,3,84],[2,4,32],[2,5,73],[2,6,84],[3,4,40],[3,5,17],[3,6,21],[4,5,38],[4,6,55],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(3,5)=17,(0,2)=20,(3,6)=21,(1,6)=31,(2,4)=32,(0,5)=34,(4,5)=38,(3,4)=40,(0,1)=48,(0,3)=50,(1,5)=54,(4,6)=55,(5,6)=55,(2,5)=73,(2,3)=84,(2,6)=84,(0,4)=90]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(3)=1, Find(5)=5, Add (3,5)=17 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=21 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=31 Failed, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1, 6: 1}, Find(2)=0, Find(4)=4, Add (2,4)=32 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1, 6: 1}, Find(0)=0, Find(5)=1, Add (0,5)=34 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 1}, Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(5)=0, Add (1,5)=54 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=55 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=55 Failed, w=125\",\"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=125\",\"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=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=84 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,28],[0,2,39],[0,3,85],[0,4,52],[0,5,79],[0,6,46],[0,7,36],[1,2,51],[1,4,89],[1,7,30],[2,3,68],[2,4,49],[2,5,18],[2,6,32],[2,7,30],[3,4,24],[3,7,25],[4,5,3],[4,6,24],[5,6,53],[6,7,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,39],[0,3,85],[0,4,52],[0,5,79],[0,6,46],[0,7,36],[1,2,51],[1,4,89],[1,7,30],[2,3,68],[2,4,49],[2,5,18],[2,6,32],[2,7,30],[3,4,24],[3,7,25],[4,5,3],[4,6,24],[5,6,53],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,39],[0,3,85],[0,4,52],[0,5,79],[0,6,46],[0,7,36],[1,2,51],[1,4,89],[1,7,30],[2,3,68],[2,4,49],[2,5,18],[2,6,32],[2,7,30],[3,4,24],[3,7,25],[4,5,3],[4,6,24],[5,6,53],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (4,6)\",\"Add (3,7)\",\"Add (0,1)\",\"Add (1,7)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,39],[0,3,85],[0,4,52],[0,5,79],[0,6,46],[0,7,36],[1,2,51],[1,4,89],[1,7,30],[2,3,68],[2,4,49],[2,5,18],[2,6,32],[2,7,30],[3,4,24],[3,7,25],[4,5,3],[4,6,24],[5,6,53],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3, w=3\",\"Add (2,5)=18, w=21\",\"Add (3,4)=24, w=45\",\"Add (4,6)=24, w=69\",\"Add (3,7)=25, w=94\",\"Add (0,1)=28, w=122\",\"Add (1,7)=30, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,39],[0,3,85],[0,4,52],[0,5,79],[0,6,46],[0,7,36],[1,2,51],[1,4,89],[1,7,30],[2,3,68],[2,4,49],[2,5,18],[2,6,32],[2,7,30],[3,4,24],[3,7,25],[4,5,3],[4,6,24],[5,6,53],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3 Succeeded, w=3\",\"Add (2,5)=18 Succeeded, w=21\",\"Add (3,4)=24 Succeeded, w=45\",\"Add (4,6)=24 Succeeded, w=69\",\"Add (3,7)=25 Succeeded, w=94\",\"Add (0,1)=28 Succeeded, w=122\",\"Add (1,7)=30 Succeeded, w=152\",\"Add (2,7)=30 Failed, w=152\",\"Add (2,6)=32 Failed, w=152\",\"Add (0,7)=36 Failed, w=152\",\"Add (0,2)=39 Failed, w=152\",\"Add (0,6)=46 Failed, w=152\",\"Add (2,4)=49 Failed, w=152\",\"Add (1,2)=51 Failed, w=152\",\"Add (0,4)=52 Failed, w=152\",\"Add (5,6)=53 Failed, w=152\",\"Add (2,3)=68 Failed, w=152\",\"Add (0,5)=79 Failed, w=152\",\"Add (6,7)=79 Failed, w=152\",\"Add (0,3)=85 Failed, w=152\",\"Add (1,4)=89 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,39],[0,3,85],[0,4,52],[0,5,79],[0,6,46],[0,7,36],[1,2,51],[1,4,89],[1,7,30],[2,3,68],[2,4,49],[2,5,18],[2,6,32],[2,7,30],[3,4,24],[3,7,25],[4,5,3],[4,6,24],[5,6,53],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(2,5)=18,(3,4)=24,(4,6)=24,(3,7)=25,(0,1)=28,(1,7)=30,(2,7)=30,(2,6)=32,(0,7)=36,(0,2)=39,(0,6)=46,(2,4)=49,(1,2)=51,(0,4)=52,(5,6)=53,(2,3)=68,(0,5)=79,(6,7)=79,(0,3)=85,(1,4)=89]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Find(2)=2, Find(5)=4, Add (2,5)=18 Succeeded, w=21\",\"Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=45\",\"Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=69\",\"Find(3)=4, Find(7)=7, Add (3,7)=25 Succeeded, w=94\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=122\",\"Find(1)=0, Find(7)=4, Add (1,7)=30 Succeeded, w=152\",\"Find(2)=0, Find(7)=0, Add (2,7)=30 Failed, w=152\",\"Find(2)=0, Find(6)=0, Add (2,6)=32 Failed, w=152\",\"Find(0)=0, Find(7)=0, Add (0,7)=36 Failed, w=152\",\"Find(0)=0, Find(2)=0, Add (0,2)=39 Failed, w=152\",\"Find(0)=0, Find(6)=0, Add (0,6)=46 Failed, w=152\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=152\",\"Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=152\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=152\",\"Find(5)=0, Find(6)=0, Add (5,6)=53 Failed, w=152\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=152\",\"Find(0)=0, Find(5)=0, Add (0,5)=79 Failed, w=152\",\"Find(6)=0, Find(7)=0, Add (6,7)=79 Failed, w=152\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=152\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,39],[0,3,85],[0,4,52],[0,5,79],[0,6,46],[0,7,36],[1,2,51],[1,4,89],[1,7,30],[2,3,68],[2,4,49],[2,5,18],[2,6,32],[2,7,30],[3,4,24],[3,7,25],[4,5,3],[4,6,24],[5,6,53],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(2,5)=18,(3,4)=24,(4,6)=24,(3,7)=25,(0,1)=28,(1,7)=30,(2,7)=30,(2,6)=32,(0,7)=36,(0,2)=39,(0,6)=46,(2,4)=49,(1,2)=51,(0,4)=52,(5,6)=53,(2,3)=68,(0,5)=79,(6,7)=79,(0,3)=85,(1,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(2)=2, Find(5)=4, Add (2,5)=18 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=24 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=7, Add (3,7)=25 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 0, 5: 4, 6: 4, 7: 4}, Find(1)=0, Find(7)=4, Add (1,7)=30 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 4, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=30 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=32 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=36 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=39 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=46 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=53 Failed, w=152\",\"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)=68 Failed, w=152\",\"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)=79 Failed, w=152\",\"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)=79 Failed, w=152\",\"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)=85 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,31],[0,4,39],[1,3,51],[1,4,93],[2,3,54],[2,4,60],[2,5,47],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,31],[0,4,39],[1,3,51],[1,4,93],[2,3,54],[2,4,60],[2,5,47],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,31],[0,4,39],[1,3,51],[1,4,93],[2,3,54],[2,4,60],[2,5,47],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,31],[0,4,39],[1,3,51],[1,4,93],[2,3,54],[2,4,60],[2,5,47],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=31, w=31\",\"Add (3,4)=34, w=65\",\"Add (0,4)=39, w=104\",\"Add (2,5)=47, w=151\",\"Add (1,3)=51, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,31],[0,4,39],[1,3,51],[1,4,93],[2,3,54],[2,4,60],[2,5,47],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=31 Succeeded, w=31\",\"Add (3,4)=34 Succeeded, w=65\",\"Add (0,4)=39 Succeeded, w=104\",\"Add (2,5)=47 Succeeded, w=151\",\"Add (1,3)=51 Succeeded, w=202\",\"Add (2,3)=54 Failed, w=202\",\"Add (2,4)=60 Failed, w=202\",\"Add (1,4)=93 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,31],[0,4,39],[1,3,51],[1,4,93],[2,3,54],[2,4,60],[2,5,47],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=31,(3,4)=34,(0,4)=39,(2,5)=47,(1,3)=51,(2,3)=54,(2,4)=60,(1,4)=93]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=31\",\"Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=65\",\"Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=104\",\"Find(2)=0, Find(5)=5, Add (2,5)=47 Succeeded, w=151\",\"Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=202\",\"Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=202\",\"Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=202\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,31],[0,4,39],[1,3,51],[1,4,93],[2,3,54],[2,4,60],[2,5,47],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=31,(3,4)=34,(0,4)=39,(2,5)=47,(1,3)=51,(2,3)=54,(2,4)=60,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 5}, Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=104\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=47 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,37],[0,2,82],[0,3,28],[0,5,1],[1,2,47],[1,5,43],[2,3,72],[2,4,10],[2,5,42],[3,4,98],[4,5,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,82],[0,3,28],[0,5,1],[1,2,47],[1,5,43],[2,3,72],[2,4,10],[2,5,42],[3,4,98],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,82],[0,3,28],[0,5,1],[1,2,47],[1,5,43],[2,3,72],[2,4,10],[2,5,42],[3,4,98],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,82],[0,3,28],[0,5,1],[1,2,47],[1,5,43],[2,3,72],[2,4,10],[2,5,42],[3,4,98],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (2,4)=10, w=11\",\"Add (4,5)=16, w=27\",\"Add (0,3)=28, w=55\",\"Add (0,1)=37, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,82],[0,3,28],[0,5,1],[1,2,47],[1,5,43],[2,3,72],[2,4,10],[2,5,42],[3,4,98],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (2,4)=10 Succeeded, w=11\",\"Add (4,5)=16 Succeeded, w=27\",\"Add (0,3)=28 Succeeded, w=55\",\"Add (0,1)=37 Succeeded, w=92\",\"Add (2,5)=42 Failed, w=92\",\"Add (1,5)=43 Failed, w=92\",\"Add (1,2)=47 Failed, w=92\",\"Add (2,3)=72 Failed, w=92\",\"Add (0,2)=82 Failed, w=92\",\"Add (3,4)=98 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,82],[0,3,28],[0,5,1],[1,2,47],[1,5,43],[2,3,72],[2,4,10],[2,5,42],[3,4,98],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(2,4)=10,(4,5)=16,(0,3)=28,(0,1)=37,(2,5)=42,(1,5)=43,(1,2)=47,(2,3)=72,(0,2)=82,(3,4)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=11\",\"Find(4)=2, Find(5)=0, Add (4,5)=16 Succeeded, w=27\",\"Find(0)=2, Find(3)=3, Add (0,3)=28 Succeeded, w=55\",\"Find(0)=2, Find(1)=1, Add (0,1)=37 Succeeded, w=92\",\"Find(2)=2, Find(5)=2, Add (2,5)=42 Failed, w=92\",\"Find(1)=2, Find(5)=2, Add (1,5)=43 Failed, w=92\",\"Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=92\",\"Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=92\",\"Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=92\",\"Find(3)=2, Find(4)=2, Add (3,4)=98 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,82],[0,3,28],[0,5,1],[1,2,47],[1,5,43],[2,3,72],[2,4,10],[2,5,42],[3,4,98],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(2,4)=10,(4,5)=16,(0,3)=28,(0,1)=37,(2,5)=42,(1,5)=43,(1,2)=47,(2,3)=72,(0,2)=82,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(4)=2, Find(5)=0, Add (4,5)=16 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(3)=3, Add (0,3)=28 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(1)=1, Add (0,1)=37 Succeeded, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=42 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=43 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=98 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,50],[0,3,9],[0,4,97],[0,6,31],[1,2,67],[1,3,38],[1,4,2],[1,6,61],[2,3,92],[2,4,94],[2,5,34],[2,6,66],[3,4,47],[3,5,8],[3,6,86],[4,5,88],[4,6,58],[5,6,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,9],[0,4,97],[0,6,31],[1,2,67],[1,3,38],[1,4,2],[1,6,61],[2,3,92],[2,4,94],[2,5,34],[2,6,66],[3,4,47],[3,5,8],[3,6,86],[4,5,88],[4,6,58],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,9],[0,4,97],[0,6,31],[1,2,67],[1,3,38],[1,4,2],[1,6,61],[2,3,92],[2,4,94],[2,5,34],[2,6,66],[3,4,47],[3,5,8],[3,6,86],[4,5,88],[4,6,58],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,9],[0,4,97],[0,6,31],[1,2,67],[1,3,38],[1,4,2],[1,6,61],[2,3,92],[2,4,94],[2,5,34],[2,6,66],[3,4,47],[3,5,8],[3,6,86],[4,5,88],[4,6,58],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (3,5)=8, w=10\",\"Add (0,3)=9, w=19\",\"Add (0,6)=31, w=50\",\"Add (2,5)=34, w=84\",\"Add (1,3)=38, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,9],[0,4,97],[0,6,31],[1,2,67],[1,3,38],[1,4,2],[1,6,61],[2,3,92],[2,4,94],[2,5,34],[2,6,66],[3,4,47],[3,5,8],[3,6,86],[4,5,88],[4,6,58],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (3,5)=8 Succeeded, w=10\",\"Add (0,3)=9 Succeeded, w=19\",\"Add (0,6)=31 Succeeded, w=50\",\"Add (2,5)=34 Succeeded, w=84\",\"Add (1,3)=38 Succeeded, w=122\",\"Add (3,4)=47 Failed, w=122\",\"Add (0,1)=50 Failed, w=122\",\"Add (4,6)=58 Failed, w=122\",\"Add (1,6)=61 Failed, w=122\",\"Add (5,6)=61 Failed, w=122\",\"Add (2,6)=66 Failed, w=122\",\"Add (1,2)=67 Failed, w=122\",\"Add (3,6)=86 Failed, w=122\",\"Add (4,5)=88 Failed, w=122\",\"Add (2,3)=92 Failed, w=122\",\"Add (2,4)=94 Failed, w=122\",\"Add (0,4)=97 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,9],[0,4,97],[0,6,31],[1,2,67],[1,3,38],[1,4,2],[1,6,61],[2,3,92],[2,4,94],[2,5,34],[2,6,66],[3,4,47],[3,5,8],[3,6,86],[4,5,88],[4,6,58],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,5)=8,(0,3)=9,(0,6)=31,(2,5)=34,(1,3)=38,(3,4)=47,(0,1)=50,(4,6)=58,(1,6)=61,(5,6)=61,(2,6)=66,(1,2)=67,(3,6)=86,(4,5)=88,(2,3)=92,(2,4)=94,(0,4)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=19\",\"Find(0)=3, Find(6)=6, Add (0,6)=31 Succeeded, w=50\",\"Find(2)=2, Find(5)=3, Add (2,5)=34 Succeeded, w=84\",\"Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=122\",\"Find(3)=1, Find(4)=1, Add (3,4)=47 Failed, w=122\",\"Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=122\",\"Find(4)=1, Find(6)=1, Add (4,6)=58 Failed, w=122\",\"Find(1)=1, Find(6)=1, Add (1,6)=61 Failed, w=122\",\"Find(5)=1, Find(6)=1, Add (5,6)=61 Failed, w=122\",\"Find(2)=1, Find(6)=1, Add (2,6)=66 Failed, w=122\",\"Find(1)=1, Find(2)=1, Add (1,2)=67 Failed, w=122\",\"Find(3)=1, Find(6)=1, Add (3,6)=86 Failed, w=122\",\"Find(4)=1, Find(5)=1, Add (4,5)=88 Failed, w=122\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=122\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=122\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,3,9],[0,4,97],[0,6,31],[1,2,67],[1,3,38],[1,4,2],[1,6,61],[2,3,92],[2,4,94],[2,5,34],[2,6,66],[3,4,47],[3,5,8],[3,6,86],[4,5,88],[4,6,58],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,5)=8,(0,3)=9,(0,6)=31,(2,5)=34,(1,3)=38,(3,4)=47,(0,1)=50,(4,6)=58,(1,6)=61,(5,6)=61,(2,6)=66,(1,2)=67,(3,6)=86,(4,5)=88,(2,3)=92,(2,4)=94,(0,4)=97]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=10\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=19\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3}, Find(0)=3, Find(6)=6, Add (0,6)=31 Succeeded, w=50\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3}, Find(2)=2, Find(5)=3, Add (2,5)=34 Succeeded, w=84\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=122\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3, 6: 3}, Find(3)=1, Find(4)=1, Add (3,4)=47 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3, 6: 3}, Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=58 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=61 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=61 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=66 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=67 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=86 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=88 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,87],[0,3,12],[0,5,63],[1,2,98],[1,3,84],[1,5,32],[2,3,1],[2,4,39],[2,5,22],[3,4,25],[3,5,47],[4,5,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,3,12],[0,5,63],[1,2,98],[1,3,84],[1,5,32],[2,3,1],[2,4,39],[2,5,22],[3,4,25],[3,5,47],[4,5,11]]}",
"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\":[[0,1,87],[0,3,12],[0,5,63],[1,2,98],[1,3,84],[1,5,32],[2,3,1],[2,4,39],[2,5,22],[3,4,25],[3,5,47],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,5)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,3,12],[0,5,63],[1,2,98],[1,3,84],[1,5,32],[2,3,1],[2,4,39],[2,5,22],[3,4,25],[3,5,47],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (4,5)=11, w=12\",\"Add (0,3)=12, w=24\",\"Add (2,5)=22, w=46\",\"Add (1,5)=32, 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\":[[0,1,87],[0,3,12],[0,5,63],[1,2,98],[1,3,84],[1,5,32],[2,3,1],[2,4,39],[2,5,22],[3,4,25],[3,5,47],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (4,5)=11 Succeeded, w=12\",\"Add (0,3)=12 Succeeded, w=24\",\"Add (2,5)=22 Succeeded, w=46\",\"Add (3,4)=25 Failed, w=46\",\"Add (1,5)=32 Succeeded, w=78\",\"Add (2,4)=39 Failed, w=78\",\"Add (3,5)=47 Failed, w=78\",\"Add (0,5)=63 Failed, w=78\",\"Add (1,3)=84 Failed, w=78\",\"Add (0,1)=87 Failed, w=78\",\"Add (1,2)=98 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\":[[0,1,87],[0,3,12],[0,5,63],[1,2,98],[1,3,84],[1,5,32],[2,3,1],[2,4,39],[2,5,22],[3,4,25],[3,5,47],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(4,5)=11,(0,3)=12,(2,5)=22,(3,4)=25,(1,5)=32,(2,4)=39,(3,5)=47,(0,5)=63,(1,3)=84,(0,1)=87,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=12\",\"Find(0)=0, Find(3)=2, Add (0,3)=12 Succeeded, w=24\",\"Find(2)=2, Find(5)=4, Add (2,5)=22 Succeeded, w=46\",\"Find(3)=2, Find(4)=2, Add (3,4)=25 Failed, w=46\",\"Find(1)=1, Find(5)=2, Add (1,5)=32 Succeeded, w=78\",\"Find(2)=2, Find(4)=2, Add (2,4)=39 Failed, w=78\",\"Find(3)=2, Find(5)=2, Add (3,5)=47 Failed, w=78\",\"Find(0)=2, Find(5)=2, Add (0,5)=63 Failed, w=78\",\"Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=78\",\"Find(0)=2, Find(1)=2, Add (0,1)=87 Failed, w=78\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 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\":[[0,1,87],[0,3,12],[0,5,63],[1,2,98],[1,3,84],[1,5,32],[2,3,1],[2,4,39],[2,5,22],[3,4,25],[3,5,47],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(4,5)=11,(0,3)=12,(2,5)=22,(3,4)=25,(1,5)=32,(2,4)=39,(3,5)=47,(0,5)=63,(1,3)=84,(0,1)=87,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(0)=0, Find(3)=2, Add (0,3)=12 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=22 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(3)=2, Find(4)=2, Add (3,4)=25 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=32 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=39 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=47 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=63 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=87 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,17],[0,3,94],[0,5,78],[1,2,14],[1,4,86],[1,5,2],[2,4,48],[2,5,26],[3,5,99],[4,5,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,3,94],[0,5,78],[1,2,14],[1,4,86],[1,5,2],[2,4,48],[2,5,26],[3,5,99],[4,5,7]]}",
"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],\"edges\":[[0,1,17],[0,3,94],[0,5,78],[1,2,14],[1,4,86],[1,5,2],[2,4,48],[2,5,26],[3,5,99],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,3,94],[0,5,78],[1,2,14],[1,4,86],[1,5,2],[2,4,48],[2,5,26],[3,5,99],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2, w=2\",\"Add (4,5)=7, w=9\",\"Add (1,2)=14, w=23\",\"Add (0,1)=17, w=40\",\"Add (0,3)=94, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,3,94],[0,5,78],[1,2,14],[1,4,86],[1,5,2],[2,4,48],[2,5,26],[3,5,99],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2 Succeeded, w=2\",\"Add (4,5)=7 Succeeded, w=9\",\"Add (1,2)=14 Succeeded, w=23\",\"Add (0,1)=17 Succeeded, w=40\",\"Add (2,5)=26 Failed, w=40\",\"Add (2,4)=48 Failed, w=40\",\"Add (0,5)=78 Failed, w=40\",\"Add (1,4)=86 Failed, w=40\",\"Add (0,3)=94 Succeeded, w=134\",\"Add (3,5)=99 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],\"edges\":[[0,1,17],[0,3,94],[0,5,78],[1,2,14],[1,4,86],[1,5,2],[2,4,48],[2,5,26],[3,5,99],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(4,5)=7,(1,2)=14,(0,1)=17,(2,5)=26,(2,4)=48,(0,5)=78,(1,4)=86,(0,3)=94,(3,5)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=1, Add (4,5)=7 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=40\",\"Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=40\",\"Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=40\",\"Find(0)=1, Find(5)=1, Add (0,5)=78 Failed, w=40\",\"Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=40\",\"Find(0)=1, Find(3)=3, Add (0,3)=94 Succeeded, w=134\",\"Find(3)=1, Find(5)=1, Add (3,5)=99 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],\"edges\":[[0,1,17],[0,3,94],[0,5,78],[1,2,14],[1,4,86],[1,5,2],[2,4,48],[2,5,26],[3,5,99],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(4,5)=7,(1,2)=14,(0,1)=17,(2,5)=26,(2,4)=48,(0,5)=78,(1,4)=86,(0,3)=94,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=78 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=3, Add (0,3)=94 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=99 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,14],[1,2,47],[2,3,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[1,2,47],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[1,2,47],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[1,2,47],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (2,3)=23, w=37\",\"Add (1,2)=47, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[1,2,47],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (2,3)=23 Succeeded, w=37\",\"Add (1,2)=47 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[1,2,47],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(2,3)=23,(1,2)=47]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(2)=0, Find(3)=3, Add (2,3)=23 Succeeded, w=37\",\"Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[1,2,47],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(2,3)=23,(1,2)=47]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=23 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,14],[0,3,48],[0,4,53],[0,5,44],[0,6,62],[1,2,28],[1,3,29],[1,4,21],[1,5,92],[1,6,55],[2,3,19],[2,4,59],[2,5,77],[2,6,63],[3,4,11],[3,5,37],[4,6,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,48],[0,4,53],[0,5,44],[0,6,62],[1,2,28],[1,3,29],[1,4,21],[1,5,92],[1,6,55],[2,3,19],[2,4,59],[2,5,77],[2,6,63],[3,4,11],[3,5,37],[4,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,48],[0,4,53],[0,5,44],[0,6,62],[1,2,28],[1,3,29],[1,4,21],[1,5,92],[1,6,55],[2,3,19],[2,4,59],[2,5,77],[2,6,63],[3,4,11],[3,5,37],[4,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (3,5)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,48],[0,4,53],[0,5,44],[0,6,62],[1,2,28],[1,3,29],[1,4,21],[1,5,92],[1,6,55],[2,3,19],[2,4,59],[2,5,77],[2,6,63],[3,4,11],[3,5,37],[4,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7, w=7\",\"Add (3,4)=11, w=18\",\"Add (0,1)=14, w=32\",\"Add (2,3)=19, w=51\",\"Add (1,4)=21, w=72\",\"Add (3,5)=37, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,48],[0,4,53],[0,5,44],[0,6,62],[1,2,28],[1,3,29],[1,4,21],[1,5,92],[1,6,55],[2,3,19],[2,4,59],[2,5,77],[2,6,63],[3,4,11],[3,5,37],[4,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7 Succeeded, w=7\",\"Add (3,4)=11 Succeeded, w=18\",\"Add (0,1)=14 Succeeded, w=32\",\"Add (2,3)=19 Succeeded, w=51\",\"Add (1,4)=21 Succeeded, w=72\",\"Add (1,2)=28 Failed, w=72\",\"Add (1,3)=29 Failed, w=72\",\"Add (3,5)=37 Succeeded, w=109\",\"Add (0,5)=44 Failed, w=109\",\"Add (0,3)=48 Failed, w=109\",\"Add (0,4)=53 Failed, w=109\",\"Add (1,6)=55 Failed, w=109\",\"Add (2,4)=59 Failed, w=109\",\"Add (0,6)=62 Failed, w=109\",\"Add (2,6)=63 Failed, w=109\",\"Add (2,5)=77 Failed, w=109\",\"Add (1,5)=92 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,48],[0,4,53],[0,5,44],[0,6,62],[1,2,28],[1,3,29],[1,4,21],[1,5,92],[1,6,55],[2,3,19],[2,4,59],[2,5,77],[2,6,63],[3,4,11],[3,5,37],[4,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(3,4)=11,(0,1)=14,(2,3)=19,(1,4)=21,(1,2)=28,(1,3)=29,(3,5)=37,(0,5)=44,(0,3)=48,(0,4)=53,(1,6)=55,(2,4)=59,(0,6)=62,(2,6)=63,(2,5)=77,(1,5)=92]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=32\",\"Find(2)=2, Find(3)=4, Add (2,3)=19 Succeeded, w=51\",\"Find(1)=0, Find(4)=4, Add (1,4)=21 Succeeded, w=72\",\"Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=72\",\"Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=72\",\"Find(3)=0, Find(5)=5, Add (3,5)=37 Succeeded, w=109\",\"Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=109\",\"Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=109\",\"Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=109\",\"Find(1)=0, Find(6)=0, Add (1,6)=55 Failed, w=109\",\"Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=109\",\"Find(0)=0, Find(6)=0, Add (0,6)=62 Failed, w=109\",\"Find(2)=0, Find(6)=0, Add (2,6)=63 Failed, w=109\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=109\",\"Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,3,48],[0,4,53],[0,5,44],[0,6,62],[1,2,28],[1,3,29],[1,4,21],[1,5,92],[1,6,55],[2,3,19],[2,4,59],[2,5,77],[2,6,63],[3,4,11],[3,5,37],[4,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(3,4)=11,(0,1)=14,(2,3)=19,(1,4)=21,(1,2)=28,(1,3)=29,(3,5)=37,(0,5)=44,(0,3)=48,(0,4)=53,(1,6)=55,(2,4)=59,(0,6)=62,(2,6)=63,(2,5)=77,(1,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4}, Find(2)=2, Find(3)=4, Add (2,3)=19 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 0, 5: 5, 6: 4}, Find(1)=0, Find(4)=4, Add (1,4)=21 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 5, 6: 4}, Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4}, Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(3)=0, Find(5)=5, Add (3,5)=37 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=55 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=62 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=63 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,33],[0,3,5],[0,4,54],[0,5,19],[0,6,49],[1,2,12],[1,4,66],[1,5,28],[1,6,16],[1,7,60],[2,3,99],[2,4,82],[2,5,6],[2,6,88],[2,7,65],[3,4,44],[3,5,67],[3,7,23],[4,5,15],[4,6,57],[5,6,2],[5,7,26],[6,7,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,5],[0,4,54],[0,5,19],[0,6,49],[1,2,12],[1,4,66],[1,5,28],[1,6,16],[1,7,60],[2,3,99],[2,4,82],[2,5,6],[2,6,88],[2,7,65],[3,4,44],[3,5,67],[3,7,23],[4,5,15],[4,6,57],[5,6,2],[5,7,26],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,5],[0,4,54],[0,5,19],[0,6,49],[1,2,12],[1,4,66],[1,5,28],[1,6,16],[1,7,60],[2,3,99],[2,4,82],[2,5,6],[2,6,88],[2,7,65],[3,4,44],[3,5,67],[3,7,23],[4,5,15],[4,6,57],[5,6,2],[5,7,26],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (3,7)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,5],[0,4,54],[0,5,19],[0,6,49],[1,2,12],[1,4,66],[1,5,28],[1,6,16],[1,7,60],[2,3,99],[2,4,82],[2,5,6],[2,6,88],[2,7,65],[3,4,44],[3,5,67],[3,7,23],[4,5,15],[4,6,57],[5,6,2],[5,7,26],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2, w=2\",\"Add (0,3)=5, w=7\",\"Add (2,5)=6, w=13\",\"Add (1,2)=12, w=25\",\"Add (4,5)=15, w=40\",\"Add (0,5)=19, w=59\",\"Add (3,7)=23, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,5],[0,4,54],[0,5,19],[0,6,49],[1,2,12],[1,4,66],[1,5,28],[1,6,16],[1,7,60],[2,3,99],[2,4,82],[2,5,6],[2,6,88],[2,7,65],[3,4,44],[3,5,67],[3,7,23],[4,5,15],[4,6,57],[5,6,2],[5,7,26],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2 Succeeded, w=2\",\"Add (0,3)=5 Succeeded, w=7\",\"Add (2,5)=6 Succeeded, w=13\",\"Add (1,2)=12 Succeeded, w=25\",\"Add (4,5)=15 Succeeded, w=40\",\"Add (1,6)=16 Failed, w=40\",\"Add (0,5)=19 Succeeded, w=59\",\"Add (3,7)=23 Succeeded, w=82\",\"Add (5,7)=26 Failed, w=82\",\"Add (1,5)=28 Failed, w=82\",\"Add (6,7)=30 Failed, w=82\",\"Add (0,1)=33 Failed, w=82\",\"Add (3,4)=44 Failed, w=82\",\"Add (0,6)=49 Failed, w=82\",\"Add (0,4)=54 Failed, w=82\",\"Add (4,6)=57 Failed, w=82\",\"Add (1,7)=60 Failed, w=82\",\"Add (2,7)=65 Failed, w=82\",\"Add (1,4)=66 Failed, w=82\",\"Add (3,5)=67 Failed, w=82\",\"Add (2,4)=82 Failed, w=82\",\"Add (2,6)=88 Failed, w=82\",\"Add (2,3)=99 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,5],[0,4,54],[0,5,19],[0,6,49],[1,2,12],[1,4,66],[1,5,28],[1,6,16],[1,7,60],[2,3,99],[2,4,82],[2,5,6],[2,6,88],[2,7,65],[3,4,44],[3,5,67],[3,7,23],[4,5,15],[4,6,57],[5,6,2],[5,7,26],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(0,3)=5,(2,5)=6,(1,2)=12,(4,5)=15,(1,6)=16,(0,5)=19,(3,7)=23,(5,7)=26,(1,5)=28,(6,7)=30,(0,1)=33,(3,4)=44,(0,6)=49,(0,4)=54,(4,6)=57,(1,7)=60,(2,7)=65,(1,4)=66,(3,5)=67,(2,4)=82,(2,6)=88,(2,3)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=13\",\"Find(1)=1, Find(2)=5, Add (1,2)=12 Succeeded, w=25\",\"Find(4)=4, Find(5)=5, Add (4,5)=15 Succeeded, w=40\",\"Find(1)=5, Find(6)=5, Add (1,6)=16 Failed, w=40\",\"Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=59\",\"Find(3)=0, Find(7)=7, Add (3,7)=23 Succeeded, w=82\",\"Find(5)=0, Find(7)=0, Add (5,7)=26 Failed, w=82\",\"Find(1)=0, Find(5)=0, Add (1,5)=28 Failed, w=82\",\"Find(6)=0, Find(7)=0, Add (6,7)=30 Failed, w=82\",\"Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=82\",\"Find(3)=0, Find(4)=0, Add (3,4)=44 Failed, w=82\",\"Find(0)=0, Find(6)=0, Add (0,6)=49 Failed, w=82\",\"Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=82\",\"Find(4)=0, Find(6)=0, Add (4,6)=57 Failed, w=82\",\"Find(1)=0, Find(7)=0, Add (1,7)=60 Failed, w=82\",\"Find(2)=0, Find(7)=0, Add (2,7)=65 Failed, w=82\",\"Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=82\",\"Find(3)=0, Find(5)=0, Add (3,5)=67 Failed, w=82\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=82\",\"Find(2)=0, Find(6)=0, Add (2,6)=88 Failed, w=82\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,3,5],[0,4,54],[0,5,19],[0,6,49],[1,2,12],[1,4,66],[1,5,28],[1,6,16],[1,7,60],[2,3,99],[2,4,82],[2,5,6],[2,6,88],[2,7,65],[3,4,44],[3,5,67],[3,7,23],[4,5,15],[4,6,57],[5,6,2],[5,7,26],[6,7,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(0,3)=5,(2,5)=6,(1,2)=12,(4,5)=15,(1,6)=16,(0,5)=19,(3,7)=23,(5,7)=26,(1,5)=28,(6,7)=30,(0,1)=33,(3,4)=44,(0,6)=49,(0,4)=54,(4,6)=57,(1,7)=60,(2,7)=65,(1,4)=66,(3,5)=67,(2,4)=82,(2,6)=88,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=13\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(2)=5, Add (1,2)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 5, 5: 5, 6: 5, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=15 Succeeded, w=40\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 5, 5: 5, 6: 5, 7: 7}, Find(1)=5, Find(6)=5, Add (1,6)=16 Failed, w=40\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 5, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=59\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 5, 5: 0, 6: 5, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=23 Succeeded, w=82\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 5, 5: 0, 6: 5, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=26 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 5, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=28 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 5, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=30 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 5, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=44 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=49 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=57 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=60 Failed, w=82\",\"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)=65 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=82\",\"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)=67 Failed, w=82\",\"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)=82 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=88 Failed, w=82\",\"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)=99 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,21],[0,5,8],[0,6,60],[1,2,25],[1,4,87],[1,5,13],[1,6,1],[2,3,24],[2,6,22],[3,4,64],[4,6,65],[5,6,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,5,8],[0,6,60],[1,2,25],[1,4,87],[1,5,13],[1,6,1],[2,3,24],[2,6,22],[3,4,64],[4,6,65],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,5,8],[0,6,60],[1,2,25],[1,4,87],[1,5,13],[1,6,1],[2,3,24],[2,6,22],[3,4,64],[4,6,65],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,5,8],[0,6,60],[1,2,25],[1,4,87],[1,5,13],[1,6,1],[2,3,24],[2,6,22],[3,4,64],[4,6,65],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (0,5)=8, w=9\",\"Add (1,5)=13, w=22\",\"Add (0,2)=21, w=43\",\"Add (2,3)=24, w=67\",\"Add (3,4)=64, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,5,8],[0,6,60],[1,2,25],[1,4,87],[1,5,13],[1,6,1],[2,3,24],[2,6,22],[3,4,64],[4,6,65],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (0,5)=8 Succeeded, w=9\",\"Add (1,5)=13 Succeeded, w=22\",\"Add (0,2)=21 Succeeded, w=43\",\"Add (2,6)=22 Failed, w=43\",\"Add (2,3)=24 Succeeded, w=67\",\"Add (1,2)=25 Failed, w=67\",\"Add (0,6)=60 Failed, w=67\",\"Add (3,4)=64 Succeeded, w=131\",\"Add (4,6)=65 Failed, w=131\",\"Add (1,4)=87 Failed, w=131\",\"Add (5,6)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,5,8],[0,6,60],[1,2,25],[1,4,87],[1,5,13],[1,6,1],[2,3,24],[2,6,22],[3,4,64],[4,6,65],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(0,5)=8,(1,5)=13,(0,2)=21,(2,6)=22,(2,3)=24,(1,2)=25,(0,6)=60,(3,4)=64,(4,6)=65,(1,4)=87,(5,6)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=9\",\"Find(1)=1, Find(5)=0, Add (1,5)=13 Succeeded, w=22\",\"Find(0)=1, Find(2)=2, Add (0,2)=21 Succeeded, w=43\",\"Find(2)=1, Find(6)=1, Add (2,6)=22 Failed, w=43\",\"Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=67\",\"Find(1)=1, Find(2)=1, Add (1,2)=25 Failed, w=67\",\"Find(0)=1, Find(6)=1, Add (0,6)=60 Failed, w=67\",\"Find(3)=1, Find(4)=4, Add (3,4)=64 Succeeded, w=131\",\"Find(4)=1, Find(6)=1, Add (4,6)=65 Failed, w=131\",\"Find(1)=1, Find(4)=1, Add (1,4)=87 Failed, w=131\",\"Find(5)=1, Find(6)=1, Add (5,6)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,5,8],[0,6,60],[1,2,25],[1,4,87],[1,5,13],[1,6,1],[2,3,24],[2,6,22],[3,4,64],[4,6,65],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(0,5)=8,(1,5)=13,(0,2)=21,(2,6)=22,(2,3)=24,(1,2)=25,(0,6)=60,(3,4)=64,(4,6)=65,(1,4)=87,(5,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1}, Find(1)=1, Find(5)=0, Add (1,5)=13 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=1, Find(2)=2, Add (0,2)=21 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=22 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 1}, Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=25 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=60 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(4)=4, Add (3,4)=64 Succeeded, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=65 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=87 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,30],[0,2,7],[0,3,22],[0,5,53],[1,2,58],[1,4,91],[2,4,88],[2,5,37],[3,4,57],[3,5,85],[4,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,30],[0,2,7],[0,3,22],[0,5,53],[1,2,58],[1,4,91],[2,4,88],[2,5,37],[3,4,57],[3,5,85],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,30],[0,2,7],[0,3,22],[0,5,53],[1,2,58],[1,4,91],[2,4,88],[2,5,37],[3,4,57],[3,5,85],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (3,4)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,30],[0,2,7],[0,3,22],[0,5,53],[1,2,58],[1,4,91],[2,4,88],[2,5,37],[3,4,57],[3,5,85],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,3)=22, w=29\",\"Add (0,1)=30, w=59\",\"Add (2,5)=37, w=96\",\"Add (3,4)=57, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,30],[0,2,7],[0,3,22],[0,5,53],[1,2,58],[1,4,91],[2,4,88],[2,5,37],[3,4,57],[3,5,85],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,3)=22 Succeeded, w=29\",\"Add (0,1)=30 Succeeded, w=59\",\"Add (2,5)=37 Succeeded, w=96\",\"Add (0,5)=53 Failed, w=96\",\"Add (3,4)=57 Succeeded, w=153\",\"Add (1,2)=58 Failed, w=153\",\"Add (4,5)=73 Failed, w=153\",\"Add (3,5)=85 Failed, w=153\",\"Add (2,4)=88 Failed, w=153\",\"Add (1,4)=91 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,30],[0,2,7],[0,3,22],[0,5,53],[1,2,58],[1,4,91],[2,4,88],[2,5,37],[3,4,57],[3,5,85],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,3)=22,(0,1)=30,(2,5)=37,(0,5)=53,(3,4)=57,(1,2)=58,(4,5)=73,(3,5)=85,(2,4)=88,(1,4)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=59\",\"Find(2)=0, Find(5)=5, Add (2,5)=37 Succeeded, w=96\",\"Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=96\",\"Find(3)=0, Find(4)=4, Add (3,4)=57 Succeeded, w=153\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=153\",\"Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=153\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=153\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=153\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,30],[0,2,7],[0,3,22],[0,5,53],[1,2,58],[1,4,91],[2,4,88],[2,5,37],[3,4,57],[3,5,85],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,3)=22,(0,1)=30,(2,5)=37,(0,5)=53,(3,4)=57,(1,2)=58,(4,5)=73,(3,5)=85,(2,4)=88,(1,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=37 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=53 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=4, Add (3,4)=57 Succeeded, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,96],[0,2,94],[0,3,42],[0,4,94],[0,5,16],[0,6,32],[1,2,4],[1,3,100],[1,4,63],[1,5,48],[1,6,11],[2,3,81],[2,4,40],[2,5,99],[2,6,14],[3,4,78],[3,5,57],[3,6,99],[4,6,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,94],[0,3,42],[0,4,94],[0,5,16],[0,6,32],[1,2,4],[1,3,100],[1,4,63],[1,5,48],[1,6,11],[2,3,81],[2,4,40],[2,5,99],[2,6,14],[3,4,78],[3,5,57],[3,6,99],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,94],[0,3,42],[0,4,94],[0,5,16],[0,6,32],[1,2,4],[1,3,100],[1,4,63],[1,5,48],[1,6,11],[2,3,81],[2,4,40],[2,5,99],[2,6,14],[3,4,78],[3,5,57],[3,6,99],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,94],[0,3,42],[0,4,94],[0,5,16],[0,6,32],[1,2,4],[1,3,100],[1,4,63],[1,5,48],[1,6,11],[2,3,81],[2,4,40],[2,5,99],[2,6,14],[3,4,78],[3,5,57],[3,6,99],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (1,6)=11, w=15\",\"Add (0,5)=16, w=31\",\"Add (0,6)=32, w=63\",\"Add (2,4)=40, w=103\",\"Add (0,3)=42, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,94],[0,3,42],[0,4,94],[0,5,16],[0,6,32],[1,2,4],[1,3,100],[1,4,63],[1,5,48],[1,6,11],[2,3,81],[2,4,40],[2,5,99],[2,6,14],[3,4,78],[3,5,57],[3,6,99],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (1,6)=11 Succeeded, w=15\",\"Add (2,6)=14 Failed, w=15\",\"Add (0,5)=16 Succeeded, w=31\",\"Add (0,6)=32 Succeeded, w=63\",\"Add (2,4)=40 Succeeded, w=103\",\"Add (0,3)=42 Succeeded, w=145\",\"Add (1,5)=48 Failed, w=145\",\"Add (3,5)=57 Failed, w=145\",\"Add (4,6)=62 Failed, w=145\",\"Add (1,4)=63 Failed, w=145\",\"Add (3,4)=78 Failed, w=145\",\"Add (2,3)=81 Failed, w=145\",\"Add (0,2)=94 Failed, w=145\",\"Add (0,4)=94 Failed, w=145\",\"Add (0,1)=96 Failed, w=145\",\"Add (2,5)=99 Failed, w=145\",\"Add (3,6)=99 Failed, w=145\",\"Add (1,3)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,94],[0,3,42],[0,4,94],[0,5,16],[0,6,32],[1,2,4],[1,3,100],[1,4,63],[1,5,48],[1,6,11],[2,3,81],[2,4,40],[2,5,99],[2,6,14],[3,4,78],[3,5,57],[3,6,99],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(1,6)=11,(2,6)=14,(0,5)=16,(0,6)=32,(2,4)=40,(0,3)=42,(1,5)=48,(3,5)=57,(4,6)=62,(1,4)=63,(3,4)=78,(2,3)=81,(0,2)=94,(0,4)=94,(0,1)=96,(2,5)=99,(3,6)=99,(1,3)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=15\",\"Find(2)=1, Find(6)=1, Add (2,6)=14 Failed, w=15\",\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=31\",\"Find(0)=0, Find(6)=1, Add (0,6)=32 Succeeded, w=63\",\"Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=103\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=145\",\"Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=145\",\"Find(3)=0, Find(5)=0, Add (3,5)=57 Failed, w=145\",\"Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=145\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=145\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=145\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=145\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=145\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=145\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=145\",\"Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=145\",\"Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,94],[0,3,42],[0,4,94],[0,5,16],[0,6,32],[1,2,4],[1,3,100],[1,4,63],[1,5,48],[1,6,11],[2,3,81],[2,4,40],[2,5,99],[2,6,14],[3,4,78],[3,5,57],[3,6,99],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(1,6)=11,(2,6)=14,(0,5)=16,(0,6)=32,(2,4)=40,(0,3)=42,(1,5)=48,(3,5)=57,(4,6)=62,(1,4)=63,(3,4)=78,(2,3)=81,(0,2)=94,(0,4)=94,(0,1)=96,(2,5)=99,(3,6)=99,(1,3)=100]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=14 Failed, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=32 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(4)=4, Add (2,4)=40 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(3)=0, Find(5)=0, Add (3,5)=57 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,17],[0,2,6],[0,3,7],[1,2,84],[1,3,36],[1,4,100],[2,3,51],[2,4,67],[3,4,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,6],[0,3,7],[1,2,84],[1,3,36],[1,4,100],[2,3,51],[2,4,67],[3,4,82]]}",
"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\":[[0,1,17],[0,2,6],[0,3,7],[1,2,84],[1,3,36],[1,4,100],[2,3,51],[2,4,67],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,6],[0,3,7],[1,2,84],[1,3,36],[1,4,100],[2,3,51],[2,4,67],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (0,3)=7, w=13\",\"Add (0,1)=17, w=30\",\"Add (2,4)=67, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,2,6],[0,3,7],[1,2,84],[1,3,36],[1,4,100],[2,3,51],[2,4,67],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (0,3)=7 Succeeded, w=13\",\"Add (0,1)=17 Succeeded, w=30\",\"Add (1,3)=36 Failed, w=30\",\"Add (2,3)=51 Failed, w=30\",\"Add (2,4)=67 Succeeded, w=97\",\"Add (3,4)=82 Failed, w=97\",\"Add (1,2)=84 Failed, w=97\",\"Add (1,4)=100 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\":[[0,1,17],[0,2,6],[0,3,7],[1,2,84],[1,3,36],[1,4,100],[2,3,51],[2,4,67],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(0,3)=7,(0,1)=17,(1,3)=36,(2,3)=51,(2,4)=67,(3,4)=82,(1,2)=84,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=30\",\"Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=30\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=30\",\"Find(2)=0, Find(4)=4, Add (2,4)=67 Succeeded, w=97\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 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\":[[0,1,17],[0,2,6],[0,3,7],[1,2,84],[1,3,36],[1,4,100],[2,3,51],[2,4,67],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(0,3)=7,(0,1)=17,(1,3)=36,(2,3)=51,(2,4)=67,(3,4)=82,(1,2)=84,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=67 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,94],[0,2,52],[0,4,55],[0,5,62],[0,6,32],[1,2,4],[1,3,71],[1,6,77],[2,3,15],[2,4,90],[2,5,48],[2,6,79],[3,4,57],[3,5,90],[3,6,58],[4,5,31],[4,6,98],[5,6,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,52],[0,4,55],[0,5,62],[0,6,32],[1,2,4],[1,3,71],[1,6,77],[2,3,15],[2,4,90],[2,5,48],[2,6,79],[3,4,57],[3,5,90],[3,6,58],[4,5,31],[4,6,98],[5,6,84]]}",
"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],\"edges\":[[0,1,94],[0,2,52],[0,4,55],[0,5,62],[0,6,32],[1,2,4],[1,3,71],[1,6,77],[2,3,15],[2,4,90],[2,5,48],[2,6,79],[3,4,57],[3,5,90],[3,6,58],[4,5,31],[4,6,98],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (0,2)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,52],[0,4,55],[0,5,62],[0,6,32],[1,2,4],[1,3,71],[1,6,77],[2,3,15],[2,4,90],[2,5,48],[2,6,79],[3,4,57],[3,5,90],[3,6,58],[4,5,31],[4,6,98],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (2,3)=15, w=19\",\"Add (4,5)=31, w=50\",\"Add (0,6)=32, w=82\",\"Add (2,5)=48, w=130\",\"Add (0,2)=52, 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],\"edges\":[[0,1,94],[0,2,52],[0,4,55],[0,5,62],[0,6,32],[1,2,4],[1,3,71],[1,6,77],[2,3,15],[2,4,90],[2,5,48],[2,6,79],[3,4,57],[3,5,90],[3,6,58],[4,5,31],[4,6,98],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (2,3)=15 Succeeded, w=19\",\"Add (4,5)=31 Succeeded, w=50\",\"Add (0,6)=32 Succeeded, w=82\",\"Add (2,5)=48 Succeeded, w=130\",\"Add (0,2)=52 Succeeded, w=182\",\"Add (0,4)=55 Failed, w=182\",\"Add (3,4)=57 Failed, w=182\",\"Add (3,6)=58 Failed, w=182\",\"Add (0,5)=62 Failed, w=182\",\"Add (1,3)=71 Failed, w=182\",\"Add (1,6)=77 Failed, w=182\",\"Add (2,6)=79 Failed, w=182\",\"Add (5,6)=84 Failed, w=182\",\"Add (2,4)=90 Failed, w=182\",\"Add (3,5)=90 Failed, w=182\",\"Add (0,1)=94 Failed, w=182\",\"Add (4,6)=98 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],\"edges\":[[0,1,94],[0,2,52],[0,4,55],[0,5,62],[0,6,32],[1,2,4],[1,3,71],[1,6,77],[2,3,15],[2,4,90],[2,5,48],[2,6,79],[3,4,57],[3,5,90],[3,6,58],[4,5,31],[4,6,98],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(2,3)=15,(4,5)=31,(0,6)=32,(2,5)=48,(0,2)=52,(0,4)=55,(3,4)=57,(3,6)=58,(0,5)=62,(1,3)=71,(1,6)=77,(2,6)=79,(5,6)=84,(2,4)=90,(3,5)=90,(0,1)=94,(4,6)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(2)=1, Find(3)=3, Add (2,3)=15 Succeeded, w=19\",\"Find(4)=4, Find(5)=5, Add (4,5)=31 Succeeded, w=50\",\"Find(0)=0, Find(6)=6, Add (0,6)=32 Succeeded, w=82\",\"Find(2)=1, Find(5)=4, Add (2,5)=48 Succeeded, w=130\",\"Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=182\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=182\",\"Find(3)=1, Find(4)=1, Add (3,4)=57 Failed, w=182\",\"Find(3)=1, Find(6)=1, Add (3,6)=58 Failed, w=182\",\"Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=182\",\"Find(1)=1, Find(3)=1, Add (1,3)=71 Failed, w=182\",\"Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=182\",\"Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=182\",\"Find(5)=1, Find(6)=1, Add (5,6)=84 Failed, w=182\",\"Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=182\",\"Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=182\",\"Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=182\",\"Find(4)=1, Find(6)=1, Add (4,6)=98 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],\"edges\":[[0,1,94],[0,2,52],[0,4,55],[0,5,62],[0,6,32],[1,2,4],[1,3,71],[1,6,77],[2,3,15],[2,4,90],[2,5,48],[2,6,79],[3,4,57],[3,5,90],[3,6,58],[4,5,31],[4,6,98],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(2,3)=15,(4,5)=31,(0,6)=32,(2,5)=48,(0,2)=52,(0,4)=55,(3,4)=57,(3,6)=58,(0,5)=62,(1,3)=71,(1,6)=77,(2,6)=79,(5,6)=84,(2,4)=90,(3,5)=90,(0,1)=94,(4,6)=98]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(2)=1, Find(3)=3, Add (2,3)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=31 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=32 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 0}, Find(2)=1, Find(5)=4, Add (2,5)=48 Succeeded, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 0}, Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 0}, Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 0}, Find(3)=1, Find(4)=1, Add (3,4)=57 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=58 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=62 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=71 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=84 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=98 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,91],[0,5,49],[1,2,27],[1,3,44],[1,4,25],[1,5,42],[2,3,80],[2,4,31],[2,5,92],[3,4,25],[4,5,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,91],[0,5,49],[1,2,27],[1,3,44],[1,4,25],[1,5,42],[2,3,80],[2,4,31],[2,5,92],[3,4,25],[4,5,99]]}",
"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\":[[0,4,91],[0,5,49],[1,2,27],[1,3,44],[1,4,25],[1,5,42],[2,3,80],[2,4,31],[2,5,92],[3,4,25],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (0,5)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,91],[0,5,49],[1,2,27],[1,3,44],[1,4,25],[1,5,42],[2,3,80],[2,4,31],[2,5,92],[3,4,25],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=25, w=25\",\"Add (3,4)=25, w=50\",\"Add (1,2)=27, w=77\",\"Add (1,5)=42, w=119\",\"Add (0,5)=49, 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\":[[0,4,91],[0,5,49],[1,2,27],[1,3,44],[1,4,25],[1,5,42],[2,3,80],[2,4,31],[2,5,92],[3,4,25],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=25 Succeeded, w=25\",\"Add (3,4)=25 Succeeded, w=50\",\"Add (1,2)=27 Succeeded, w=77\",\"Add (2,4)=31 Failed, w=77\",\"Add (1,5)=42 Succeeded, w=119\",\"Add (1,3)=44 Failed, w=119\",\"Add (0,5)=49 Succeeded, w=168\",\"Add (2,3)=80 Failed, w=168\",\"Add (0,4)=91 Failed, w=168\",\"Add (2,5)=92 Failed, w=168\",\"Add (4,5)=99 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\":[[0,4,91],[0,5,49],[1,2,27],[1,3,44],[1,4,25],[1,5,42],[2,3,80],[2,4,31],[2,5,92],[3,4,25],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=25,(3,4)=25,(1,2)=27,(2,4)=31,(1,5)=42,(1,3)=44,(0,5)=49,(2,3)=80,(0,4)=91,(2,5)=92,(4,5)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=25\",\"Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=50\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=77\",\"Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=77\",\"Find(1)=1, Find(5)=5, Add (1,5)=42 Succeeded, w=119\",\"Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=119\",\"Find(0)=0, Find(5)=1, Add (0,5)=49 Succeeded, w=168\",\"Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=168\",\"Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=168\",\"Find(2)=1, Find(5)=1, Add (2,5)=92 Failed, w=168\",\"Find(4)=1, Find(5)=1, Add (4,5)=99 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\":[[0,4,91],[0,5,49],[1,2,27],[1,3,44],[1,4,25],[1,5,42],[2,3,80],[2,4,31],[2,5,92],[3,4,25],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=25,(3,4)=25,(1,2)=27,(2,4)=31,(1,5)=42,(1,3)=44,(0,5)=49,(2,3)=80,(0,4)=91,(2,5)=92,(4,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=77\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=42 Succeeded, w=119\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=44 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=49 Succeeded, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=92 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,33],[0,4,27],[1,2,59],[1,4,25],[1,5,99],[2,4,55],[2,6,62],[3,5,82],[3,6,16],[4,5,20],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,4,27],[1,2,59],[1,4,25],[1,5,99],[2,4,55],[2,6,62],[3,5,82],[3,6,16],[4,5,20],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,4,27],[1,2,59],[1,4,25],[1,5,99],[2,4,55],[2,6,62],[3,5,82],[3,6,16],[4,5,20],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (2,6)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,4,27],[1,2,59],[1,4,25],[1,5,99],[2,4,55],[2,6,62],[3,5,82],[3,6,16],[4,5,20],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=16, w=16\",\"Add (4,5)=20, w=36\",\"Add (1,4)=25, w=61\",\"Add (0,4)=27, w=88\",\"Add (0,2)=33, w=121\",\"Add (2,6)=62, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,4,27],[1,2,59],[1,4,25],[1,5,99],[2,4,55],[2,6,62],[3,5,82],[3,6,16],[4,5,20],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=16 Succeeded, w=16\",\"Add (4,5)=20 Succeeded, w=36\",\"Add (1,4)=25 Succeeded, w=61\",\"Add (0,4)=27 Succeeded, w=88\",\"Add (0,2)=33 Succeeded, w=121\",\"Add (2,4)=55 Failed, w=121\",\"Add (1,2)=59 Failed, w=121\",\"Add (2,6)=62 Succeeded, w=183\",\"Add (3,5)=82 Failed, w=183\",\"Add (5,6)=85 Failed, w=183\",\"Add (1,5)=99 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,4,27],[1,2,59],[1,4,25],[1,5,99],[2,4,55],[2,6,62],[3,5,82],[3,6,16],[4,5,20],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=16,(4,5)=20,(1,4)=25,(0,4)=27,(0,2)=33,(2,4)=55,(1,2)=59,(2,6)=62,(3,5)=82,(5,6)=85,(1,5)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=16 Succeeded, w=16\",\"Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=36\",\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=61\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=88\",\"Find(0)=4, Find(2)=2, Add (0,2)=33 Succeeded, w=121\",\"Find(2)=4, Find(4)=4, Add (2,4)=55 Failed, w=121\",\"Find(1)=4, Find(2)=4, Add (1,2)=59 Failed, w=121\",\"Find(2)=4, Find(6)=3, Add (2,6)=62 Succeeded, w=183\",\"Find(3)=4, Find(5)=4, Add (3,5)=82 Failed, w=183\",\"Find(5)=4, Find(6)=4, Add (5,6)=85 Failed, w=183\",\"Find(1)=4, Find(5)=4, Add (1,5)=99 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,33],[0,4,27],[1,2,59],[1,4,25],[1,5,99],[2,4,55],[2,6,62],[3,5,82],[3,6,16],[4,5,20],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=16,(4,5)=20,(1,4)=25,(0,4)=27,(0,2)=33,(2,4)=55,(1,2)=59,(2,6)=62,(3,5)=82,(5,6)=85,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3}, Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=61\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=88\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3}, Find(0)=4, Find(2)=2, Add (0,2)=33 Succeeded, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3}, Find(2)=4, Find(4)=4, Add (2,4)=55 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3}, Find(1)=4, Find(2)=4, Add (1,2)=59 Failed, w=121\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3}, Find(2)=4, Find(6)=3, Add (2,6)=62 Succeeded, w=183\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3}, Find(3)=4, Find(5)=4, Add (3,5)=82 Failed, w=183\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=85 Failed, w=183\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=99 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,50],[0,3,79],[0,4,93],[0,5,10],[0,6,6],[1,2,42],[1,3,9],[1,4,94],[1,5,49],[1,6,20],[2,3,36],[2,6,28],[3,4,58],[3,5,71],[3,6,93],[4,5,2],[5,6,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,79],[0,4,93],[0,5,10],[0,6,6],[1,2,42],[1,3,9],[1,4,94],[1,5,49],[1,6,20],[2,3,36],[2,6,28],[3,4,58],[3,5,71],[3,6,93],[4,5,2],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,79],[0,4,93],[0,5,10],[0,6,6],[1,2,42],[1,3,9],[1,4,94],[1,5,49],[1,6,20],[2,3,36],[2,6,28],[3,4,58],[3,5,71],[3,6,93],[4,5,2],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (1,6)\",\"Add (2,6)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,79],[0,4,93],[0,5,10],[0,6,6],[1,2,42],[1,3,9],[1,4,94],[1,5,49],[1,6,20],[2,3,36],[2,6,28],[3,4,58],[3,5,71],[3,6,93],[4,5,2],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (0,6)=6, w=8\",\"Add (1,3)=9, w=17\",\"Add (0,5)=10, w=27\",\"Add (1,6)=20, w=47\",\"Add (2,6)=28, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,79],[0,4,93],[0,5,10],[0,6,6],[1,2,42],[1,3,9],[1,4,94],[1,5,49],[1,6,20],[2,3,36],[2,6,28],[3,4,58],[3,5,71],[3,6,93],[4,5,2],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (0,6)=6 Succeeded, w=8\",\"Add (1,3)=9 Succeeded, w=17\",\"Add (0,5)=10 Succeeded, w=27\",\"Add (1,6)=20 Succeeded, w=47\",\"Add (5,6)=20 Failed, w=47\",\"Add (2,6)=28 Succeeded, w=75\",\"Add (2,3)=36 Failed, w=75\",\"Add (1,2)=42 Failed, w=75\",\"Add (1,5)=49 Failed, w=75\",\"Add (0,2)=50 Failed, w=75\",\"Add (3,4)=58 Failed, w=75\",\"Add (3,5)=71 Failed, w=75\",\"Add (0,3)=79 Failed, w=75\",\"Add (0,4)=93 Failed, w=75\",\"Add (3,6)=93 Failed, w=75\",\"Add (1,4)=94 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,79],[0,4,93],[0,5,10],[0,6,6],[1,2,42],[1,3,9],[1,4,94],[1,5,49],[1,6,20],[2,3,36],[2,6,28],[3,4,58],[3,5,71],[3,6,93],[4,5,2],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(0,6)=6,(1,3)=9,(0,5)=10,(1,6)=20,(5,6)=20,(2,6)=28,(2,3)=36,(1,2)=42,(1,5)=49,(0,2)=50,(3,4)=58,(3,5)=71,(0,3)=79,(0,4)=93,(3,6)=93,(1,4)=94]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=8\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=17\",\"Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=27\",\"Find(1)=1, Find(6)=0, Add (1,6)=20 Succeeded, w=47\",\"Find(5)=0, Find(6)=0, Add (5,6)=20 Failed, w=47\",\"Find(2)=2, Find(6)=0, Add (2,6)=28 Succeeded, w=75\",\"Find(2)=0, Find(3)=0, Add (2,3)=36 Failed, w=75\",\"Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=75\",\"Find(1)=0, Find(5)=0, Add (1,5)=49 Failed, w=75\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=75\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=75\",\"Find(3)=0, Find(5)=0, Add (3,5)=71 Failed, w=75\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=75\",\"Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=75\",\"Find(3)=0, Find(6)=0, Add (3,6)=93 Failed, w=75\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,50],[0,3,79],[0,4,93],[0,5,10],[0,6,6],[1,2,42],[1,3,9],[1,4,94],[1,5,49],[1,6,20],[2,3,36],[2,6,28],[3,4,58],[3,5,71],[3,6,93],[4,5,2],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(0,6)=6,(1,3)=9,(0,5)=10,(1,6)=20,(5,6)=20,(2,6)=28,(2,3)=36,(1,2)=42,(1,5)=49,(0,2)=50,(3,4)=58,(3,5)=71,(0,3)=79,(0,4)=93,(3,6)=93,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 0}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 4, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=20 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=20 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=28 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=36 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=49 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=71 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=93 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,50],[0,4,91],[1,2,75],[1,3,28],[1,4,38],[1,5,37],[2,3,43],[2,4,48],[2,6,89],[3,6,85],[4,5,49],[4,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,91],[1,2,75],[1,3,28],[1,4,38],[1,5,37],[2,3,43],[2,4,48],[2,6,89],[3,6,85],[4,5,49],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,91],[1,2,75],[1,3,28],[1,4,38],[1,5,37],[2,3,43],[2,4,48],[2,6,89],[3,6,85],[4,5,49],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,91],[1,2,75],[1,3,28],[1,4,38],[1,5,37],[2,3,43],[2,4,48],[2,6,89],[3,6,85],[4,5,49],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1, w=1\",\"Add (1,3)=28, w=29\",\"Add (1,5)=37, w=66\",\"Add (1,4)=38, w=104\",\"Add (2,3)=43, w=147\",\"Add (0,3)=50, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,91],[1,2,75],[1,3,28],[1,4,38],[1,5,37],[2,3,43],[2,4,48],[2,6,89],[3,6,85],[4,5,49],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1 Succeeded, w=1\",\"Add (1,3)=28 Succeeded, w=29\",\"Add (1,5)=37 Succeeded, w=66\",\"Add (1,4)=38 Succeeded, w=104\",\"Add (2,3)=43 Succeeded, w=147\",\"Add (2,4)=48 Failed, w=147\",\"Add (4,5)=49 Failed, w=147\",\"Add (0,3)=50 Succeeded, w=197\",\"Add (1,2)=75 Failed, w=197\",\"Add (3,6)=85 Failed, w=197\",\"Add (2,6)=89 Failed, w=197\",\"Add (0,4)=91 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,91],[1,2,75],[1,3,28],[1,4,38],[1,5,37],[2,3,43],[2,4,48],[2,6,89],[3,6,85],[4,5,49],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(1,3)=28,(1,5)=37,(1,4)=38,(2,3)=43,(2,4)=48,(4,5)=49,(0,3)=50,(1,2)=75,(3,6)=85,(2,6)=89,(0,4)=91]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=29\",\"Find(1)=1, Find(5)=5, Add (1,5)=37 Succeeded, w=66\",\"Find(1)=1, Find(4)=4, Add (1,4)=38 Succeeded, w=104\",\"Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=147\",\"Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=147\",\"Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=147\",\"Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=197\",\"Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=197\",\"Find(3)=1, Find(6)=1, Add (3,6)=85 Failed, w=197\",\"Find(2)=1, Find(6)=1, Add (2,6)=89 Failed, w=197\",\"Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,50],[0,4,91],[1,2,75],[1,3,28],[1,4,38],[1,5,37],[2,3,43],[2,4,48],[2,6,89],[3,6,85],[4,5,49],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(1,3)=28,(1,5)=37,(1,4)=38,(2,3)=43,(2,4)=48,(4,5)=49,(0,3)=50,(1,2)=75,(3,6)=85,(2,6)=89,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 4}, Find(1)=1, Find(5)=5, Add (1,5)=37 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=38 Succeeded, w=104\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=147\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=147\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=85 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=89 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,19],[0,5,13],[0,6,33],[1,2,48],[1,3,91],[1,4,74],[1,5,95],[2,3,35],[2,4,28],[2,5,87],[2,6,35],[3,4,74],[3,6,27],[4,6,15],[5,6,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,19],[0,5,13],[0,6,33],[1,2,48],[1,3,91],[1,4,74],[1,5,95],[2,3,35],[2,4,28],[2,5,87],[2,6,35],[3,4,74],[3,6,27],[4,6,15],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,19],[0,5,13],[0,6,33],[1,2,48],[1,3,91],[1,4,74],[1,5,95],[2,3,35],[2,4,28],[2,5,87],[2,6,35],[3,4,74],[3,6,27],[4,6,15],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,19],[0,5,13],[0,6,33],[1,2,48],[1,3,91],[1,4,74],[1,5,95],[2,3,35],[2,4,28],[2,5,87],[2,6,35],[3,4,74],[3,6,27],[4,6,15],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=13, w=13\",\"Add (4,6)=15, w=28\",\"Add (0,3)=19, w=47\",\"Add (3,6)=27, w=74\",\"Add (2,4)=28, w=102\",\"Add (1,2)=48, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,19],[0,5,13],[0,6,33],[1,2,48],[1,3,91],[1,4,74],[1,5,95],[2,3,35],[2,4,28],[2,5,87],[2,6,35],[3,4,74],[3,6,27],[4,6,15],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=13 Succeeded, w=13\",\"Add (4,6)=15 Succeeded, w=28\",\"Add (0,3)=19 Succeeded, w=47\",\"Add (3,6)=27 Succeeded, w=74\",\"Add (2,4)=28 Succeeded, w=102\",\"Add (0,6)=33 Failed, w=102\",\"Add (2,3)=35 Failed, w=102\",\"Add (2,6)=35 Failed, w=102\",\"Add (1,2)=48 Succeeded, w=150\",\"Add (5,6)=69 Failed, w=150\",\"Add (1,4)=74 Failed, w=150\",\"Add (3,4)=74 Failed, w=150\",\"Add (2,5)=87 Failed, w=150\",\"Add (1,3)=91 Failed, w=150\",\"Add (1,5)=95 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,19],[0,5,13],[0,6,33],[1,2,48],[1,3,91],[1,4,74],[1,5,95],[2,3,35],[2,4,28],[2,5,87],[2,6,35],[3,4,74],[3,6,27],[4,6,15],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=13,(4,6)=15,(0,3)=19,(3,6)=27,(2,4)=28,(0,6)=33,(2,3)=35,(2,6)=35,(1,2)=48,(5,6)=69,(1,4)=74,(3,4)=74,(2,5)=87,(1,3)=91,(1,5)=95]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=13\",\"Find(4)=4, Find(6)=6, Add (4,6)=15 Succeeded, w=28\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=47\",\"Find(3)=0, Find(6)=4, Add (3,6)=27 Succeeded, w=74\",\"Find(2)=2, Find(4)=0, Add (2,4)=28 Succeeded, w=102\",\"Find(0)=0, Find(6)=0, Add (0,6)=33 Failed, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=102\",\"Find(2)=0, Find(6)=0, Add (2,6)=35 Failed, w=102\",\"Find(1)=1, Find(2)=0, Add (1,2)=48 Succeeded, w=150\",\"Find(5)=0, Find(6)=0, Add (5,6)=69 Failed, w=150\",\"Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=150\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=150\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=150\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=150\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,19],[0,5,13],[0,6,33],[1,2,48],[1,3,91],[1,4,74],[1,5,95],[2,3,35],[2,4,28],[2,5,87],[2,6,35],[3,4,74],[3,6,27],[4,6,15],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=13,(4,6)=15,(0,3)=19,(3,6)=27,(2,4)=28,(0,6)=33,(2,3)=35,(2,6)=35,(1,2)=48,(5,6)=69,(1,4)=74,(3,4)=74,(2,5)=87,(1,3)=91,(1,5)=95]\",\"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)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 4}, Find(3)=0, Find(6)=4, Add (3,6)=27 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(2)=2, Find(4)=0, Add (2,4)=28 Succeeded, w=102\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=33 Failed, w=102\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=102\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=35 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=48 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=69 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,59],[0,2,61],[0,3,50],[1,2,40],[1,3,18],[2,3,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,61],[0,3,50],[1,2,40],[1,3,18],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,61],[0,3,50],[1,2,40],[1,3,18],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,61],[0,3,50],[1,2,40],[1,3,18],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18, w=18\",\"Add (1,2)=40, w=58\",\"Add (0,3)=50, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,61],[0,3,50],[1,2,40],[1,3,18],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18 Succeeded, w=18\",\"Add (1,2)=40 Succeeded, w=58\",\"Add (0,3)=50 Succeeded, w=108\",\"Add (2,3)=58 Failed, w=108\",\"Add (0,1)=59 Failed, w=108\",\"Add (0,2)=61 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,61],[0,3,50],[1,2,40],[1,3,18],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(1,2)=40,(0,3)=50,(2,3)=58,(0,1)=59,(0,2)=61]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=58\",\"Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=108\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=108\",\"Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=108\",\"Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,61],[0,3,50],[1,2,40],[1,3,18],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(1,2)=40,(0,3)=50,(2,3)=58,(0,1)=59,(0,2)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=50 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,19],[0,2,84],[0,3,62],[0,4,100],[0,5,100],[0,6,78],[1,2,98],[1,3,23],[1,4,35],[1,5,85],[1,6,76],[2,3,53],[2,4,55],[2,5,41],[2,6,98],[3,4,33],[3,5,48],[3,6,53],[4,5,20],[4,6,50],[5,6,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,84],[0,3,62],[0,4,100],[0,5,100],[0,6,78],[1,2,98],[1,3,23],[1,4,35],[1,5,85],[1,6,76],[2,3,53],[2,4,55],[2,5,41],[2,6,98],[3,4,33],[3,5,48],[3,6,53],[4,5,20],[4,6,50],[5,6,13]]}",
"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],\"edges\":[[0,1,19],[0,2,84],[0,3,62],[0,4,100],[0,5,100],[0,6,78],[1,2,98],[1,3,23],[1,4,35],[1,5,85],[1,6,76],[2,3,53],[2,4,55],[2,5,41],[2,6,98],[3,4,33],[3,5,48],[3,6,53],[4,5,20],[4,6,50],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,84],[0,3,62],[0,4,100],[0,5,100],[0,6,78],[1,2,98],[1,3,23],[1,4,35],[1,5,85],[1,6,76],[2,3,53],[2,4,55],[2,5,41],[2,6,98],[3,4,33],[3,5,48],[3,6,53],[4,5,20],[4,6,50],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=13, w=13\",\"Add (0,1)=19, w=32\",\"Add (4,5)=20, w=52\",\"Add (1,3)=23, w=75\",\"Add (3,4)=33, w=108\",\"Add (2,5)=41, 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],\"edges\":[[0,1,19],[0,2,84],[0,3,62],[0,4,100],[0,5,100],[0,6,78],[1,2,98],[1,3,23],[1,4,35],[1,5,85],[1,6,76],[2,3,53],[2,4,55],[2,5,41],[2,6,98],[3,4,33],[3,5,48],[3,6,53],[4,5,20],[4,6,50],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=13 Succeeded, w=13\",\"Add (0,1)=19 Succeeded, w=32\",\"Add (4,5)=20 Succeeded, w=52\",\"Add (1,3)=23 Succeeded, w=75\",\"Add (3,4)=33 Succeeded, w=108\",\"Add (1,4)=35 Failed, w=108\",\"Add (2,5)=41 Succeeded, w=149\",\"Add (3,5)=48 Failed, w=149\",\"Add (4,6)=50 Failed, w=149\",\"Add (2,3)=53 Failed, w=149\",\"Add (3,6)=53 Failed, w=149\",\"Add (2,4)=55 Failed, w=149\",\"Add (0,3)=62 Failed, w=149\",\"Add (1,6)=76 Failed, w=149\",\"Add (0,6)=78 Failed, w=149\",\"Add (0,2)=84 Failed, w=149\",\"Add (1,5)=85 Failed, w=149\",\"Add (1,2)=98 Failed, w=149\",\"Add (2,6)=98 Failed, w=149\",\"Add (0,4)=100 Failed, w=149\",\"Add (0,5)=100 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],\"edges\":[[0,1,19],[0,2,84],[0,3,62],[0,4,100],[0,5,100],[0,6,78],[1,2,98],[1,3,23],[1,4,35],[1,5,85],[1,6,76],[2,3,53],[2,4,55],[2,5,41],[2,6,98],[3,4,33],[3,5,48],[3,6,53],[4,5,20],[4,6,50],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=13,(0,1)=19,(4,5)=20,(1,3)=23,(3,4)=33,(1,4)=35,(2,5)=41,(3,5)=48,(4,6)=50,(2,3)=53,(3,6)=53,(2,4)=55,(0,3)=62,(1,6)=76,(0,6)=78,(0,2)=84,(1,5)=85,(1,2)=98,(2,6)=98,(0,4)=100,(0,5)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=32\",\"Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=52\",\"Find(1)=0, Find(3)=3, Add (1,3)=23 Succeeded, w=75\",\"Find(3)=0, Find(4)=5, Add (3,4)=33 Succeeded, w=108\",\"Find(1)=0, Find(4)=0, Add (1,4)=35 Failed, w=108\",\"Find(2)=2, Find(5)=0, Add (2,5)=41 Succeeded, w=149\",\"Find(3)=0, Find(5)=0, Add (3,5)=48 Failed, w=149\",\"Find(4)=0, Find(6)=0, Add (4,6)=50 Failed, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=149\",\"Find(3)=0, Find(6)=0, Add (3,6)=53 Failed, w=149\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=149\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=149\",\"Find(1)=0, Find(6)=0, Add (1,6)=76 Failed, w=149\",\"Find(0)=0, Find(6)=0, Add (0,6)=78 Failed, w=149\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=149\",\"Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=149\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=149\",\"Find(2)=0, Find(6)=0, Add (2,6)=98 Failed, w=149\",\"Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=149\",\"Find(0)=0, Find(5)=0, Add (0,5)=100 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],\"edges\":[[0,1,19],[0,2,84],[0,3,62],[0,4,100],[0,5,100],[0,6,78],[1,2,98],[1,3,23],[1,4,35],[1,5,85],[1,6,76],[2,3,53],[2,4,55],[2,5,41],[2,6,98],[3,4,33],[3,5,48],[3,6,53],[4,5,20],[4,6,50],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=13,(0,1)=19,(4,5)=20,(1,3)=23,(3,4)=33,(1,4)=35,(2,5)=41,(3,5)=48,(4,6)=50,(2,3)=53,(3,6)=53,(2,4)=55,(0,3)=62,(1,6)=76,(0,6)=78,(0,2)=84,(1,5)=85,(1,2)=98,(2,6)=98,(0,4)=100,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(5)=5, Add (4,5)=20 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 5, 5: 5, 6: 5}, Find(1)=0, Find(3)=3, Add (1,3)=23 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 5, 5: 0, 6: 5}, Find(3)=0, Find(4)=5, Add (3,4)=33 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(4)=0, Add (1,4)=35 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(2)=2, Find(5)=0, Add (2,5)=41 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(3)=0, Find(5)=0, Add (3,5)=48 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=50 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=53 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=76 Failed, w=149\",\"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=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=98 Failed, w=149\",\"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=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,88],[0,3,24],[1,2,22],[2,3,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,24],[1,2,22],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,24],[1,2,22],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,24],[1,2,22],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22, w=22\",\"Add (0,3)=24, w=46\",\"Add (2,3)=64, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,24],[1,2,22],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22 Succeeded, w=22\",\"Add (0,3)=24 Succeeded, w=46\",\"Add (2,3)=64 Succeeded, w=110\",\"Add (0,1)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,24],[1,2,22],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,3)=24,(2,3)=64,(0,1)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=46\",\"Find(2)=1, Find(3)=0, Add (2,3)=64 Succeeded, w=110\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,24],[1,2,22],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,3)=24,(2,3)=64,(0,1)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=64 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,42],[0,3,76],[0,4,34],[0,5,16],[0,6,35],[0,7,40],[1,2,64],[1,3,44],[1,4,19],[1,5,59],[1,6,20],[2,5,76],[2,7,98],[3,4,81],[3,5,31],[3,6,67],[4,5,53],[4,7,63],[5,6,25],[5,7,42],[6,7,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,3,76],[0,4,34],[0,5,16],[0,6,35],[0,7,40],[1,2,64],[1,3,44],[1,4,19],[1,5,59],[1,6,20],[2,5,76],[2,7,98],[3,4,81],[3,5,31],[3,6,67],[4,5,53],[4,7,63],[5,6,25],[5,7,42],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,3,76],[0,4,34],[0,5,16],[0,6,35],[0,7,40],[1,2,64],[1,3,44],[1,4,19],[1,5,59],[1,6,20],[2,5,76],[2,7,98],[3,4,81],[3,5,31],[3,6,67],[4,5,53],[4,7,63],[5,6,25],[5,7,42],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (0,7)\",\"Add (1,2)\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,3,76],[0,4,34],[0,5,16],[0,6,35],[0,7,40],[1,2,64],[1,3,44],[1,4,19],[1,5,59],[1,6,20],[2,5,76],[2,7,98],[3,4,81],[3,5,31],[3,6,67],[4,5,53],[4,7,63],[5,6,25],[5,7,42],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=16, w=16\",\"Add (1,4)=19, w=35\",\"Add (1,6)=20, w=55\",\"Add (5,6)=25, w=80\",\"Add (3,5)=31, w=111\",\"Add (0,7)=40, w=151\",\"Add (1,2)=64, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,3,76],[0,4,34],[0,5,16],[0,6,35],[0,7,40],[1,2,64],[1,3,44],[1,4,19],[1,5,59],[1,6,20],[2,5,76],[2,7,98],[3,4,81],[3,5,31],[3,6,67],[4,5,53],[4,7,63],[5,6,25],[5,7,42],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=16 Succeeded, w=16\",\"Add (1,4)=19 Succeeded, w=35\",\"Add (1,6)=20 Succeeded, w=55\",\"Add (5,6)=25 Succeeded, w=80\",\"Add (3,5)=31 Succeeded, w=111\",\"Add (0,4)=34 Failed, w=111\",\"Add (0,6)=35 Failed, w=111\",\"Add (0,7)=40 Succeeded, w=151\",\"Add (0,1)=42 Failed, w=151\",\"Add (5,7)=42 Failed, w=151\",\"Add (1,3)=44 Failed, w=151\",\"Add (4,5)=53 Failed, w=151\",\"Add (6,7)=54 Failed, w=151\",\"Add (1,5)=59 Failed, w=151\",\"Add (4,7)=63 Failed, w=151\",\"Add (1,2)=64 Succeeded, w=215\",\"Add (3,6)=67 Failed, w=215\",\"Add (0,3)=76 Failed, w=215\",\"Add (2,5)=76 Failed, w=215\",\"Add (3,4)=81 Failed, w=215\",\"Add (2,7)=98 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,3,76],[0,4,34],[0,5,16],[0,6,35],[0,7,40],[1,2,64],[1,3,44],[1,4,19],[1,5,59],[1,6,20],[2,5,76],[2,7,98],[3,4,81],[3,5,31],[3,6,67],[4,5,53],[4,7,63],[5,6,25],[5,7,42],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=16,(1,4)=19,(1,6)=20,(5,6)=25,(3,5)=31,(0,4)=34,(0,6)=35,(0,7)=40,(0,1)=42,(5,7)=42,(1,3)=44,(4,5)=53,(6,7)=54,(1,5)=59,(4,7)=63,(1,2)=64,(3,6)=67,(0,3)=76,(2,5)=76,(3,4)=81,(2,7)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=35\",\"Find(1)=1, Find(6)=6, Add (1,6)=20 Succeeded, w=55\",\"Find(5)=0, Find(6)=1, Add (5,6)=25 Succeeded, w=80\",\"Find(3)=3, Find(5)=0, Add (3,5)=31 Succeeded, w=111\",\"Find(0)=0, Find(4)=0, Add (0,4)=34 Failed, w=111\",\"Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=111\",\"Find(0)=0, Find(7)=7, Add (0,7)=40 Succeeded, w=151\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=151\",\"Find(5)=0, Find(7)=0, Add (5,7)=42 Failed, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=151\",\"Find(4)=0, Find(5)=0, Add (4,5)=53 Failed, w=151\",\"Find(6)=0, Find(7)=0, Add (6,7)=54 Failed, w=151\",\"Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=151\",\"Find(4)=0, Find(7)=0, Add (4,7)=63 Failed, w=151\",\"Find(1)=0, Find(2)=2, Add (1,2)=64 Succeeded, w=215\",\"Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=215\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=215\",\"Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=215\",\"Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=215\",\"Find(2)=0, Find(7)=0, Add (2,7)=98 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,3,76],[0,4,34],[0,5,16],[0,6,35],[0,7,40],[1,2,64],[1,3,44],[1,4,19],[1,5,59],[1,6,20],[2,5,76],[2,7,98],[3,4,81],[3,5,31],[3,6,67],[4,5,53],[4,7,63],[5,6,25],[5,7,42],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=16,(1,4)=19,(1,6)=20,(5,6)=25,(3,5)=31,(0,4)=34,(0,6)=35,(0,7)=40,(0,1)=42,(5,7)=42,(1,3)=44,(4,5)=53,(6,7)=54,(1,5)=59,(4,7)=63,(1,2)=64,(3,6)=67,(0,3)=76,(2,5)=76,(3,4)=81,(2,7)=98]\",\"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)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=20 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0, 6: 1, 7: 7}, Find(5)=0, Find(6)=1, Add (5,6)=25 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0, 6: 1, 7: 7}, Find(3)=3, Find(5)=0, Add (3,5)=31 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(4)=0, Add (0,4)=34 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=40 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=42 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=53 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=54 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=63 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=64 Succeeded, w=215\",\"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)=67 Failed, w=215\",\"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)=76 Failed, w=215\",\"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=215\",\"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)=81 Failed, w=215\",\"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)=98 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,80],[0,3,10],[0,4,58],[0,5,23],[1,2,24],[1,3,96],[1,4,21],[1,6,20],[1,7,75],[2,3,10],[2,4,7],[2,6,0],[2,7,82],[3,4,88],[3,5,89],[3,7,35],[4,5,44],[4,7,88],[5,7,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,80],[0,3,10],[0,4,58],[0,5,23],[1,2,24],[1,3,96],[1,4,21],[1,6,20],[1,7,75],[2,3,10],[2,4,7],[2,6,0],[2,7,82],[3,4,88],[3,5,89],[3,7,35],[4,5,44],[4,7,88],[5,7,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,80],[0,3,10],[0,4,58],[0,5,23],[1,2,24],[1,3,96],[1,4,21],[1,6,20],[1,7,75],[2,3,10],[2,4,7],[2,6,0],[2,7,82],[3,4,88],[3,5,89],[3,7,35],[4,5,44],[4,7,88],[5,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (5,7)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,80],[0,3,10],[0,4,58],[0,5,23],[1,2,24],[1,3,96],[1,4,21],[1,6,20],[1,7,75],[2,3,10],[2,4,7],[2,6,0],[2,7,82],[3,4,88],[3,5,89],[3,7,35],[4,5,44],[4,7,88],[5,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0, w=0\",\"Add (2,4)=7, w=7\",\"Add (0,3)=10, w=17\",\"Add (2,3)=10, w=27\",\"Add (1,6)=20, w=47\",\"Add (0,5)=23, w=70\",\"Add (5,7)=27, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,80],[0,3,10],[0,4,58],[0,5,23],[1,2,24],[1,3,96],[1,4,21],[1,6,20],[1,7,75],[2,3,10],[2,4,7],[2,6,0],[2,7,82],[3,4,88],[3,5,89],[3,7,35],[4,5,44],[4,7,88],[5,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0 Succeeded, w=0\",\"Add (2,4)=7 Succeeded, w=7\",\"Add (0,3)=10 Succeeded, w=17\",\"Add (2,3)=10 Succeeded, w=27\",\"Add (1,6)=20 Succeeded, w=47\",\"Add (1,4)=21 Failed, w=47\",\"Add (0,5)=23 Succeeded, w=70\",\"Add (1,2)=24 Failed, w=70\",\"Add (5,7)=27 Succeeded, w=97\",\"Add (0,1)=34 Failed, w=97\",\"Add (3,7)=35 Failed, w=97\",\"Add (4,5)=44 Failed, w=97\",\"Add (0,4)=58 Failed, w=97\",\"Add (1,7)=75 Failed, w=97\",\"Add (0,2)=80 Failed, w=97\",\"Add (2,7)=82 Failed, w=97\",\"Add (3,4)=88 Failed, w=97\",\"Add (4,7)=88 Failed, w=97\",\"Add (3,5)=89 Failed, w=97\",\"Add (1,3)=96 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,80],[0,3,10],[0,4,58],[0,5,23],[1,2,24],[1,3,96],[1,4,21],[1,6,20],[1,7,75],[2,3,10],[2,4,7],[2,6,0],[2,7,82],[3,4,88],[3,5,89],[3,7,35],[4,5,44],[4,7,88],[5,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(2,4)=7,(0,3)=10,(2,3)=10,(1,6)=20,(1,4)=21,(0,5)=23,(1,2)=24,(5,7)=27,(0,1)=34,(3,7)=35,(4,5)=44,(0,4)=58,(1,7)=75,(0,2)=80,(2,7)=82,(3,4)=88,(4,7)=88,(3,5)=89,(1,3)=96]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=17\",\"Find(2)=2, Find(3)=0, Add (2,3)=10 Succeeded, w=27\",\"Find(1)=1, Find(6)=2, Add (1,6)=20 Succeeded, w=47\",\"Find(1)=2, Find(4)=2, Add (1,4)=21 Failed, w=47\",\"Find(0)=2, Find(5)=5, Add (0,5)=23 Succeeded, w=70\",\"Find(1)=2, Find(2)=2, Add (1,2)=24 Failed, w=70\",\"Find(5)=2, Find(7)=7, Add (5,7)=27 Succeeded, w=97\",\"Find(0)=2, Find(1)=2, Add (0,1)=34 Failed, w=97\",\"Find(3)=2, Find(7)=2, Add (3,7)=35 Failed, w=97\",\"Find(4)=2, Find(5)=2, Add (4,5)=44 Failed, w=97\",\"Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=97\",\"Find(1)=2, Find(7)=2, Add (1,7)=75 Failed, w=97\",\"Find(0)=2, Find(2)=2, Add (0,2)=80 Failed, w=97\",\"Find(2)=2, Find(7)=2, Add (2,7)=82 Failed, w=97\",\"Find(3)=2, Find(4)=2, Add (3,4)=88 Failed, w=97\",\"Find(4)=2, Find(7)=2, Add (4,7)=88 Failed, w=97\",\"Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=97\",\"Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,80],[0,3,10],[0,4,58],[0,5,23],[1,2,24],[1,3,96],[1,4,21],[1,6,20],[1,7,75],[2,3,10],[2,4,7],[2,6,0],[2,7,82],[3,4,88],[3,5,89],[3,7,35],[4,5,44],[4,7,88],[5,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(2,4)=7,(0,3)=10,(2,3)=10,(1,6)=20,(1,4)=21,(0,5)=23,(1,2)=24,(5,7)=27,(0,1)=34,(3,7)=35,(4,5)=44,(0,4)=58,(1,7)=75,(0,2)=80,(2,7)=82,(3,4)=88,(4,7)=88,(3,5)=89,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(3)=0, Add (2,3)=10 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(6)=2, Add (1,6)=20 Succeeded, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 7}, Find(1)=2, Find(4)=2, Add (1,4)=21 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(5)=5, Add (0,5)=23 Succeeded, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 7}, Find(1)=2, Find(2)=2, Add (1,2)=24 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=7, Add (5,7)=27 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=34 Failed, w=97\",\"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)=35 Failed, w=97\",\"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)=44 Failed, w=97\",\"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)=58 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=75 Failed, w=97\",\"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)=80 Failed, w=97\",\"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)=82 Failed, w=97\",\"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)=88 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=88 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,45],[0,2,57],[0,3,35],[0,4,9],[1,2,13],[1,3,49],[1,4,47],[2,3,16],[2,4,83],[3,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,57],[0,3,35],[0,4,9],[1,2,13],[1,3,49],[1,4,47],[2,3,16],[2,4,83],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,57],[0,3,35],[0,4,9],[1,2,13],[1,3,49],[1,4,47],[2,3,16],[2,4,83],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,57],[0,3,35],[0,4,9],[1,2,13],[1,3,49],[1,4,47],[2,3,16],[2,4,83],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (1,2)=13, w=22\",\"Add (2,3)=16, w=38\",\"Add (0,3)=35, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,57],[0,3,35],[0,4,9],[1,2,13],[1,3,49],[1,4,47],[2,3,16],[2,4,83],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (1,2)=13 Succeeded, w=22\",\"Add (2,3)=16 Succeeded, w=38\",\"Add (0,3)=35 Succeeded, w=73\",\"Add (0,1)=45 Failed, w=73\",\"Add (3,4)=46 Failed, w=73\",\"Add (1,4)=47 Failed, w=73\",\"Add (1,3)=49 Failed, w=73\",\"Add (0,2)=57 Failed, w=73\",\"Add (2,4)=83 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,57],[0,3,35],[0,4,9],[1,2,13],[1,3,49],[1,4,47],[2,3,16],[2,4,83],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(1,2)=13,(2,3)=16,(0,3)=35,(0,1)=45,(3,4)=46,(1,4)=47,(1,3)=49,(0,2)=57,(2,4)=83]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=22\",\"Find(2)=1, Find(3)=3, Add (2,3)=16 Succeeded, w=38\",\"Find(0)=0, Find(3)=1, Add (0,3)=35 Succeeded, w=73\",\"Find(0)=0, Find(1)=0, Add (0,1)=45 Failed, w=73\",\"Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=73\",\"Find(1)=0, Find(4)=0, Add (1,4)=47 Failed, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=73\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=73\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,57],[0,3,35],[0,4,9],[1,2,13],[1,3,49],[1,4,47],[2,3,16],[2,4,83],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(1,2)=13,(2,3)=16,(0,3)=35,(0,1)=45,(3,4)=46,(1,4)=47,(1,3)=49,(0,2)=57,(2,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=3, Add (2,3)=16 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(3)=1, Add (0,3)=35 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=45 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=47 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,75],[0,4,18],[0,5,40],[0,7,65],[1,2,44],[1,3,3],[1,4,53],[1,5,90],[2,4,77],[2,5,23],[2,6,59],[3,4,17],[3,5,38],[3,7,23],[4,7,49],[5,6,41],[5,7,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,18],[0,5,40],[0,7,65],[1,2,44],[1,3,3],[1,4,53],[1,5,90],[2,4,77],[2,5,23],[2,6,59],[3,4,17],[3,5,38],[3,7,23],[4,7,49],[5,6,41],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,18],[0,5,40],[0,7,65],[1,2,44],[1,3,3],[1,4,53],[1,5,90],[2,4,77],[2,5,23],[2,6,59],[3,4,17],[3,5,38],[3,7,23],[4,7,49],[5,6,41],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (3,7)\",\"Add (5,6)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,18],[0,5,40],[0,7,65],[1,2,44],[1,3,3],[1,4,53],[1,5,90],[2,4,77],[2,5,23],[2,6,59],[3,4,17],[3,5,38],[3,7,23],[4,7,49],[5,6,41],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2, w=2\",\"Add (1,3)=3, w=5\",\"Add (3,4)=17, w=22\",\"Add (0,4)=18, w=40\",\"Add (2,5)=23, w=63\",\"Add (3,7)=23, w=86\",\"Add (5,6)=41, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,18],[0,5,40],[0,7,65],[1,2,44],[1,3,3],[1,4,53],[1,5,90],[2,4,77],[2,5,23],[2,6,59],[3,4,17],[3,5,38],[3,7,23],[4,7,49],[5,6,41],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=2 Succeeded, w=2\",\"Add (1,3)=3 Succeeded, w=5\",\"Add (3,4)=17 Succeeded, w=22\",\"Add (0,4)=18 Succeeded, w=40\",\"Add (2,5)=23 Succeeded, w=63\",\"Add (3,7)=23 Succeeded, w=86\",\"Add (3,5)=38 Failed, w=86\",\"Add (0,5)=40 Failed, w=86\",\"Add (5,6)=41 Succeeded, w=127\",\"Add (1,2)=44 Failed, w=127\",\"Add (4,7)=49 Failed, w=127\",\"Add (1,4)=53 Failed, w=127\",\"Add (2,6)=59 Failed, w=127\",\"Add (0,7)=65 Failed, w=127\",\"Add (0,2)=75 Failed, w=127\",\"Add (2,4)=77 Failed, w=127\",\"Add (1,5)=90 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,18],[0,5,40],[0,7,65],[1,2,44],[1,3,3],[1,4,53],[1,5,90],[2,4,77],[2,5,23],[2,6,59],[3,4,17],[3,5,38],[3,7,23],[4,7,49],[5,6,41],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(1,3)=3,(3,4)=17,(0,4)=18,(2,5)=23,(3,7)=23,(3,5)=38,(0,5)=40,(5,6)=41,(1,2)=44,(4,7)=49,(1,4)=53,(2,6)=59,(0,7)=65,(0,2)=75,(2,4)=77,(1,5)=90]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Find(3)=1, Find(4)=4, Add (3,4)=17 Succeeded, w=22\",\"Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=40\",\"Find(2)=2, Find(5)=5, Add (2,5)=23 Succeeded, w=63\",\"Find(3)=1, Find(7)=5, Add (3,7)=23 Succeeded, w=86\",\"Find(3)=1, Find(5)=1, Add (3,5)=38 Failed, w=86\",\"Find(0)=1, Find(5)=1, Add (0,5)=40 Failed, w=86\",\"Find(5)=1, Find(6)=6, Add (5,6)=41 Succeeded, w=127\",\"Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=127\",\"Find(4)=1, Find(7)=1, Add (4,7)=49 Failed, w=127\",\"Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=127\",\"Find(2)=1, Find(6)=1, Add (2,6)=59 Failed, w=127\",\"Find(0)=1, Find(7)=1, Add (0,7)=65 Failed, w=127\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=127\",\"Find(2)=1, Find(4)=1, Add (2,4)=77 Failed, w=127\",\"Find(1)=1, Find(5)=1, Add (1,5)=90 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,75],[0,4,18],[0,5,40],[0,7,65],[1,2,44],[1,3,3],[1,4,53],[1,5,90],[2,4,77],[2,5,23],[2,6,59],[3,4,17],[3,5,38],[3,7,23],[4,7,49],[5,6,41],[5,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=2,(1,3)=3,(3,4)=17,(0,4)=18,(2,5)=23,(3,7)=23,(3,5)=38,(0,5)=40,(5,6)=41,(1,2)=44,(4,7)=49,(1,4)=53,(2,6)=59,(0,7)=65,(0,2)=75,(2,4)=77,(1,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(3)=1, Find(4)=4, Add (3,4)=17 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(2)=2, Find(5)=5, Add (2,5)=23 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(3)=1, Find(7)=5, Add (3,7)=23 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(3)=1, Find(5)=1, Add (3,5)=38 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(0)=1, Find(5)=1, Add (0,5)=40 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(5)=1, Find(6)=6, Add (5,6)=41 Succeeded, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=127\",\"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)=49 Failed, w=127\",\"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)=53 Failed, w=127\",\"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)=59 Failed, w=127\",\"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)=65 Failed, w=127\",\"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)=75 Failed, w=127\",\"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)=77 Failed, w=127\",\"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)=90 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,12],[0,2,27],[0,4,99],[0,5,84],[1,2,10],[1,3,33],[1,4,21],[1,5,19],[1,6,33],[2,3,53],[2,5,76],[2,7,16],[3,4,87],[3,5,14],[4,7,76],[5,6,26],[5,7,21],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,27],[0,4,99],[0,5,84],[1,2,10],[1,3,33],[1,4,21],[1,5,19],[1,6,33],[2,3,53],[2,5,76],[2,7,16],[3,4,87],[3,5,14],[4,7,76],[5,6,26],[5,7,21],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,27],[0,4,99],[0,5,84],[1,2,10],[1,3,33],[1,4,21],[1,5,19],[1,6,33],[2,3,53],[2,5,76],[2,7,16],[3,4,87],[3,5,14],[4,7,76],[5,6,26],[5,7,21],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (2,7)\",\"Add (1,5)\",\"Add (1,4)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,27],[0,4,99],[0,5,84],[1,2,10],[1,3,33],[1,4,21],[1,5,19],[1,6,33],[2,3,53],[2,5,76],[2,7,16],[3,4,87],[3,5,14],[4,7,76],[5,6,26],[5,7,21],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8, w=8\",\"Add (1,2)=10, w=18\",\"Add (0,1)=12, w=30\",\"Add (3,5)=14, w=44\",\"Add (2,7)=16, w=60\",\"Add (1,5)=19, w=79\",\"Add (1,4)=21, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,27],[0,4,99],[0,5,84],[1,2,10],[1,3,33],[1,4,21],[1,5,19],[1,6,33],[2,3,53],[2,5,76],[2,7,16],[3,4,87],[3,5,14],[4,7,76],[5,6,26],[5,7,21],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8 Succeeded, w=8\",\"Add (1,2)=10 Succeeded, w=18\",\"Add (0,1)=12 Succeeded, w=30\",\"Add (3,5)=14 Succeeded, w=44\",\"Add (2,7)=16 Succeeded, w=60\",\"Add (1,5)=19 Succeeded, w=79\",\"Add (1,4)=21 Succeeded, w=100\",\"Add (5,7)=21 Failed, w=100\",\"Add (5,6)=26 Failed, w=100\",\"Add (0,2)=27 Failed, w=100\",\"Add (1,3)=33 Failed, w=100\",\"Add (1,6)=33 Failed, w=100\",\"Add (2,3)=53 Failed, w=100\",\"Add (2,5)=76 Failed, w=100\",\"Add (4,7)=76 Failed, w=100\",\"Add (0,5)=84 Failed, w=100\",\"Add (3,4)=87 Failed, w=100\",\"Add (0,4)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,27],[0,4,99],[0,5,84],[1,2,10],[1,3,33],[1,4,21],[1,5,19],[1,6,33],[2,3,53],[2,5,76],[2,7,16],[3,4,87],[3,5,14],[4,7,76],[5,6,26],[5,7,21],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(1,2)=10,(0,1)=12,(3,5)=14,(2,7)=16,(1,5)=19,(1,4)=21,(5,7)=21,(5,6)=26,(0,2)=27,(1,3)=33,(1,6)=33,(2,3)=53,(2,5)=76,(4,7)=76,(0,5)=84,(3,4)=87,(0,4)=99]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=30\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=44\",\"Find(2)=1, Find(7)=6, Add (2,7)=16 Succeeded, w=60\",\"Find(1)=1, Find(5)=3, Add (1,5)=19 Succeeded, w=79\",\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=100\",\"Find(5)=1, Find(7)=1, Add (5,7)=21 Failed, w=100\",\"Find(5)=1, Find(6)=1, Add (5,6)=26 Failed, w=100\",\"Find(0)=1, Find(2)=1, Add (0,2)=27 Failed, w=100\",\"Find(1)=1, Find(3)=1, Add (1,3)=33 Failed, w=100\",\"Find(1)=1, Find(6)=1, Add (1,6)=33 Failed, w=100\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=100\",\"Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=100\",\"Find(4)=1, Find(7)=1, Add (4,7)=76 Failed, w=100\",\"Find(0)=1, Find(5)=1, Add (0,5)=84 Failed, w=100\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=100\",\"Find(0)=1, Find(4)=1, Add (0,4)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,27],[0,4,99],[0,5,84],[1,2,10],[1,3,33],[1,4,21],[1,5,19],[1,6,33],[2,3,53],[2,5,76],[2,7,16],[3,4,87],[3,5,14],[4,7,76],[5,6,26],[5,7,21],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(1,2)=10,(0,1)=12,(3,5)=14,(2,7)=16,(1,5)=19,(1,4)=21,(5,7)=21,(5,6)=26,(0,2)=27,(1,3)=33,(1,6)=33,(2,3)=53,(2,5)=76,(4,7)=76,(0,5)=84,(3,4)=87,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1, 7: 6}, Find(2)=1, Find(7)=6, Add (2,7)=16 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 1, 7: 6}, Find(1)=1, Find(5)=3, Add (1,5)=19 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 6}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=100\",\"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)=21 Failed, w=100\",\"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)=26 Failed, w=100\",\"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)=27 Failed, w=100\",\"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)=33 Failed, w=100\",\"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)=33 Failed, w=100\",\"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)=53 Failed, w=100\",\"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)=76 Failed, w=100\",\"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)=76 Failed, w=100\",\"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)=84 Failed, w=100\",\"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)=87 Failed, w=100\",\"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)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,16],[0,2,60],[0,3,9],[0,5,30],[0,6,30],[0,7,85],[1,2,55],[1,3,14],[1,4,20],[1,5,62],[1,6,74],[1,7,83],[2,3,76],[2,4,28],[2,5,62],[2,6,38],[2,7,40],[3,4,6],[3,5,47],[3,6,78],[3,7,13],[4,5,99],[4,6,84],[4,7,46],[5,6,8],[6,7,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,60],[0,3,9],[0,5,30],[0,6,30],[0,7,85],[1,2,55],[1,3,14],[1,4,20],[1,5,62],[1,6,74],[1,7,83],[2,3,76],[2,4,28],[2,5,62],[2,6,38],[2,7,40],[3,4,6],[3,5,47],[3,6,78],[3,7,13],[4,5,99],[4,6,84],[4,7,46],[5,6,8],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,60],[0,3,9],[0,5,30],[0,6,30],[0,7,85],[1,2,55],[1,3,14],[1,4,20],[1,5,62],[1,6,74],[1,7,83],[2,3,76],[2,4,28],[2,5,62],[2,6,38],[2,7,40],[3,4,6],[3,5,47],[3,6,78],[3,7,13],[4,5,99],[4,6,84],[4,7,46],[5,6,8],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (3,7)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,60],[0,3,9],[0,5,30],[0,6,30],[0,7,85],[1,2,55],[1,3,14],[1,4,20],[1,5,62],[1,6,74],[1,7,83],[2,3,76],[2,4,28],[2,5,62],[2,6,38],[2,7,40],[3,4,6],[3,5,47],[3,6,78],[3,7,13],[4,5,99],[4,6,84],[4,7,46],[5,6,8],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (5,6)=8, w=14\",\"Add (0,3)=9, w=23\",\"Add (3,7)=13, w=36\",\"Add (1,3)=14, w=50\",\"Add (2,4)=28, w=78\",\"Add (0,5)=30, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,60],[0,3,9],[0,5,30],[0,6,30],[0,7,85],[1,2,55],[1,3,14],[1,4,20],[1,5,62],[1,6,74],[1,7,83],[2,3,76],[2,4,28],[2,5,62],[2,6,38],[2,7,40],[3,4,6],[3,5,47],[3,6,78],[3,7,13],[4,5,99],[4,6,84],[4,7,46],[5,6,8],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (5,6)=8 Succeeded, w=14\",\"Add (0,3)=9 Succeeded, w=23\",\"Add (3,7)=13 Succeeded, w=36\",\"Add (1,3)=14 Succeeded, w=50\",\"Add (0,1)=16 Failed, w=50\",\"Add (1,4)=20 Failed, w=50\",\"Add (2,4)=28 Succeeded, w=78\",\"Add (0,5)=30 Succeeded, w=108\",\"Add (0,6)=30 Failed, w=108\",\"Add (2,6)=38 Failed, w=108\",\"Add (2,7)=40 Failed, w=108\",\"Add (4,7)=46 Failed, w=108\",\"Add (3,5)=47 Failed, w=108\",\"Add (6,7)=54 Failed, w=108\",\"Add (1,2)=55 Failed, w=108\",\"Add (0,2)=60 Failed, w=108\",\"Add (1,5)=62 Failed, w=108\",\"Add (2,5)=62 Failed, w=108\",\"Add (1,6)=74 Failed, w=108\",\"Add (2,3)=76 Failed, w=108\",\"Add (3,6)=78 Failed, w=108\",\"Add (1,7)=83 Failed, w=108\",\"Add (4,6)=84 Failed, w=108\",\"Add (0,7)=85 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\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,60],[0,3,9],[0,5,30],[0,6,30],[0,7,85],[1,2,55],[1,3,14],[1,4,20],[1,5,62],[1,6,74],[1,7,83],[2,3,76],[2,4,28],[2,5,62],[2,6,38],[2,7,40],[3,4,6],[3,5,47],[3,6,78],[3,7,13],[4,5,99],[4,6,84],[4,7,46],[5,6,8],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(5,6)=8,(0,3)=9,(3,7)=13,(1,3)=14,(0,1)=16,(1,4)=20,(2,4)=28,(0,5)=30,(0,6)=30,(2,6)=38,(2,7)=40,(4,7)=46,(3,5)=47,(6,7)=54,(1,2)=55,(0,2)=60,(1,5)=62,(2,5)=62,(1,6)=74,(2,3)=76,(3,6)=78,(1,7)=83,(4,6)=84,(0,7)=85,(4,5)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(5)=5, Find(6)=6, Add (5,6)=8 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=23\",\"Find(3)=3, Find(7)=7, Add (3,7)=13 Succeeded, w=36\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=50\",\"Find(0)=3, Find(1)=3, Add (0,1)=16 Failed, w=50\",\"Find(1)=3, Find(4)=3, Add (1,4)=20 Failed, w=50\",\"Find(2)=2, Find(4)=3, Add (2,4)=28 Succeeded, w=78\",\"Find(0)=3, Find(5)=5, Add (0,5)=30 Succeeded, w=108\",\"Find(0)=3, Find(6)=3, Add (0,6)=30 Failed, w=108\",\"Find(2)=3, Find(6)=3, Add (2,6)=38 Failed, w=108\",\"Find(2)=3, Find(7)=3, Add (2,7)=40 Failed, w=108\",\"Find(4)=3, Find(7)=3, Add (4,7)=46 Failed, w=108\",\"Find(3)=3, Find(5)=3, Add (3,5)=47 Failed, w=108\",\"Find(6)=3, Find(7)=3, Add (6,7)=54 Failed, w=108\",\"Find(1)=3, Find(2)=3, Add (1,2)=55 Failed, w=108\",\"Find(0)=3, Find(2)=3, Add (0,2)=60 Failed, w=108\",\"Find(1)=3, Find(5)=3, Add (1,5)=62 Failed, w=108\",\"Find(2)=3, Find(5)=3, Add (2,5)=62 Failed, w=108\",\"Find(1)=3, Find(6)=3, Add (1,6)=74 Failed, w=108\",\"Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=108\",\"Find(3)=3, Find(6)=3, Add (3,6)=78 Failed, w=108\",\"Find(1)=3, Find(7)=3, Add (1,7)=83 Failed, w=108\",\"Find(4)=3, Find(6)=3, Add (4,6)=84 Failed, w=108\",\"Find(0)=3, Find(7)=3, Add (0,7)=85 Failed, w=108\",\"Find(4)=3, Find(5)=3, Add (4,5)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,60],[0,3,9],[0,5,30],[0,6,30],[0,7,85],[1,2,55],[1,3,14],[1,4,20],[1,5,62],[1,6,74],[1,7,83],[2,3,76],[2,4,28],[2,5,62],[2,6,38],[2,7,40],[3,4,6],[3,5,47],[3,6,78],[3,7,13],[4,5,99],[4,6,84],[4,7,46],[5,6,8],[6,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(5,6)=8,(0,3)=9,(3,7)=13,(1,3)=14,(0,1)=16,(1,4)=20,(2,4)=28,(0,5)=30,(0,6)=30,(2,6)=38,(2,7)=40,(4,7)=46,(3,5)=47,(6,7)=54,(1,2)=55,(0,2)=60,(1,5)=62,(2,5)=62,(1,6)=74,(2,3)=76,(3,6)=78,(1,7)=83,(4,6)=84,(0,7)=85,(4,5)=99]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=8 Succeeded, w=14\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=23\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=13 Succeeded, w=36\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=50\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=16 Failed, w=50\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=20 Failed, w=50\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5, 7: 3}, Find(2)=2, Find(4)=3, Add (2,4)=28 Succeeded, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5, 7: 3}, Find(0)=3, Find(5)=5, Add (0,5)=30 Succeeded, w=108\",\"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)=30 Failed, w=108\",\"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)=38 Failed, w=108\",\"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)=40 Failed, w=108\",\"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)=46 Failed, w=108\",\"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)=47 Failed, w=108\",\"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)=54 Failed, w=108\",\"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)=55 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=60 Failed, w=108\",\"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=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=62 Failed, w=108\",\"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)=74 Failed, w=108\",\"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)=76 Failed, w=108\",\"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)=78 Failed, w=108\",\"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=108\",\"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)=84 Failed, w=108\",\"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)=85 Failed, w=108\",\"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)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,76],[0,3,60],[1,3,9],[1,4,96],[2,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,60],[1,3,9],[1,4,96],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,60],[1,3,9],[1,4,96],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,60],[1,3,9],[1,4,96],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (0,3)=60, w=69\",\"Add (0,2)=76, w=145\",\"Add (1,4)=96, w=241\"],\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,60],[1,3,9],[1,4,96],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (0,3)=60 Succeeded, w=69\",\"Add (0,2)=76 Succeeded, w=145\",\"Add (1,4)=96 Succeeded, w=241\",\"Add (2,4)=100 Failed, w=241\"],\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,60],[1,3,9],[1,4,96],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(0,3)=60,(0,2)=76,(1,4)=96,(2,4)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=1, Add (0,3)=60 Succeeded, w=69\",\"Find(0)=1, Find(2)=2, Add (0,2)=76 Succeeded, w=145\",\"Find(1)=1, Find(4)=4, Add (1,4)=96 Succeeded, w=241\",\"Find(2)=1, Find(4)=1, Add (2,4)=100 Failed, w=241\"],\"Answer\":241}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,60],[1,3,9],[1,4,96],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(0,3)=60,(0,2)=76,(1,4)=96,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=60 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(2)=2, Add (0,2)=76 Succeeded, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=96 Succeeded, w=241\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=100 Failed, w=241\"],\"Answer\":241}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,2,57],[0,3,87],[0,5,99],[1,2,77],[1,3,46],[1,4,45],[1,5,66],[2,3,80],[2,4,48],[2,5,77],[3,4,82],[4,5,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,57],[0,3,87],[0,5,99],[1,2,77],[1,3,46],[1,4,45],[1,5,66],[2,3,80],[2,4,48],[2,5,77],[3,4,82],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,57],[0,3,87],[0,5,99],[1,2,77],[1,3,46],[1,4,45],[1,5,66],[2,3,80],[2,4,48],[2,5,77],[3,4,82],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (4,5)\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,57],[0,3,87],[0,5,99],[1,2,77],[1,3,46],[1,4,45],[1,5,66],[2,3,80],[2,4,48],[2,5,77],[3,4,82],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=45, w=45\",\"Add (1,3)=46, w=91\",\"Add (0,1)=48, w=139\",\"Add (2,4)=48, w=187\",\"Add (4,5)=48, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,57],[0,3,87],[0,5,99],[1,2,77],[1,3,46],[1,4,45],[1,5,66],[2,3,80],[2,4,48],[2,5,77],[3,4,82],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=45 Succeeded, w=45\",\"Add (1,3)=46 Succeeded, w=91\",\"Add (0,1)=48 Succeeded, w=139\",\"Add (2,4)=48 Succeeded, w=187\",\"Add (4,5)=48 Succeeded, w=235\",\"Add (0,2)=57 Failed, w=235\",\"Add (1,5)=66 Failed, w=235\",\"Add (1,2)=77 Failed, w=235\",\"Add (2,5)=77 Failed, w=235\",\"Add (2,3)=80 Failed, w=235\",\"Add (3,4)=82 Failed, w=235\",\"Add (0,3)=87 Failed, w=235\",\"Add (0,5)=99 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,57],[0,3,87],[0,5,99],[1,2,77],[1,3,46],[1,4,45],[1,5,66],[2,3,80],[2,4,48],[2,5,77],[3,4,82],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=45,(1,3)=46,(0,1)=48,(2,4)=48,(4,5)=48,(0,2)=57,(1,5)=66,(1,2)=77,(2,5)=77,(2,3)=80,(3,4)=82,(0,3)=87,(0,5)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=45\",\"Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=91\",\"Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=139\",\"Find(2)=2, Find(4)=1, Add (2,4)=48 Succeeded, w=187\",\"Find(4)=1, Find(5)=5, Add (4,5)=48 Succeeded, w=235\",\"Find(0)=1, Find(2)=1, Add (0,2)=57 Failed, w=235\",\"Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=235\",\"Find(1)=1, Find(2)=1, Add (1,2)=77 Failed, w=235\",\"Find(2)=1, Find(5)=1, Add (2,5)=77 Failed, w=235\",\"Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=235\",\"Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=235\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=235\",\"Find(0)=1, Find(5)=1, Add (0,5)=99 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,57],[0,3,87],[0,5,99],[1,2,77],[1,3,46],[1,4,45],[1,5,66],[2,3,80],[2,4,48],[2,5,77],[3,4,82],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=45,(1,3)=46,(0,1)=48,(2,4)=48,(4,5)=48,(0,2)=57,(1,5)=66,(1,2)=77,(2,5)=77,(2,3)=80,(3,4)=82,(0,3)=87,(0,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=45 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=2, Find(4)=1, Add (2,4)=48 Succeeded, w=187\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=48 Succeeded, w=235\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=57 Failed, w=235\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=235\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=77 Failed, w=235\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=77 Failed, w=235\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=235\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=235\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=235\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=99 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,3,13],[0,4,88],[0,5,36],[0,7,36],[1,3,20],[1,4,0],[1,7,37],[2,3,18],[2,6,16],[2,7,93],[3,4,27],[3,5,10],[3,7,45],[4,5,7],[4,6,9],[5,7,35],[6,7,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,3,13],[0,4,88],[0,5,36],[0,7,36],[1,3,20],[1,4,0],[1,7,37],[2,3,18],[2,6,16],[2,7,93],[3,4,27],[3,5,10],[3,7,45],[4,5,7],[4,6,9],[5,7,35],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,3,13],[0,4,88],[0,5,36],[0,7,36],[1,3,20],[1,4,0],[1,7,37],[2,3,18],[2,6,16],[2,7,93],[3,4,27],[3,5,10],[3,7,45],[4,5,7],[4,6,9],[5,7,35],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (5,7)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,3,13],[0,4,88],[0,5,36],[0,7,36],[1,3,20],[1,4,0],[1,7,37],[2,3,18],[2,6,16],[2,7,93],[3,4,27],[3,5,10],[3,7,45],[4,5,7],[4,6,9],[5,7,35],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (4,5)=7, w=7\",\"Add (4,6)=9, w=16\",\"Add (3,5)=10, w=26\",\"Add (0,3)=13, w=39\",\"Add (2,6)=16, w=55\",\"Add (5,7)=35, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,3,13],[0,4,88],[0,5,36],[0,7,36],[1,3,20],[1,4,0],[1,7,37],[2,3,18],[2,6,16],[2,7,93],[3,4,27],[3,5,10],[3,7,45],[4,5,7],[4,6,9],[5,7,35],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (4,5)=7 Succeeded, w=7\",\"Add (4,6)=9 Succeeded, w=16\",\"Add (3,5)=10 Succeeded, w=26\",\"Add (0,3)=13 Succeeded, w=39\",\"Add (2,6)=16 Succeeded, w=55\",\"Add (2,3)=18 Failed, w=55\",\"Add (1,3)=20 Failed, w=55\",\"Add (3,4)=27 Failed, w=55\",\"Add (5,7)=35 Succeeded, w=90\",\"Add (0,5)=36 Failed, w=90\",\"Add (0,7)=36 Failed, w=90\",\"Add (1,7)=37 Failed, w=90\",\"Add (0,1)=41 Failed, w=90\",\"Add (3,7)=45 Failed, w=90\",\"Add (6,7)=68 Failed, w=90\",\"Add (0,4)=88 Failed, w=90\",\"Add (2,7)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,3,13],[0,4,88],[0,5,36],[0,7,36],[1,3,20],[1,4,0],[1,7,37],[2,3,18],[2,6,16],[2,7,93],[3,4,27],[3,5,10],[3,7,45],[4,5,7],[4,6,9],[5,7,35],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(4,5)=7,(4,6)=9,(3,5)=10,(0,3)=13,(2,6)=16,(2,3)=18,(1,3)=20,(3,4)=27,(5,7)=35,(0,5)=36,(0,7)=36,(1,7)=37,(0,1)=41,(3,7)=45,(6,7)=68,(0,4)=88,(2,7)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(4)=1, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Find(4)=1, Find(6)=6, Add (4,6)=9 Succeeded, w=16\",\"Find(3)=3, Find(5)=1, Add (3,5)=10 Succeeded, w=26\",\"Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=39\",\"Find(2)=2, Find(6)=1, Add (2,6)=16 Succeeded, w=55\",\"Find(2)=1, Find(3)=1, Add (2,3)=18 Failed, w=55\",\"Find(1)=1, Find(3)=1, Add (1,3)=20 Failed, w=55\",\"Find(3)=1, Find(4)=1, Add (3,4)=27 Failed, w=55\",\"Find(5)=1, Find(7)=7, Add (5,7)=35 Succeeded, w=90\",\"Find(0)=1, Find(5)=1, Add (0,5)=36 Failed, w=90\",\"Find(0)=1, Find(7)=1, Add (0,7)=36 Failed, w=90\",\"Find(1)=1, Find(7)=1, Add (1,7)=37 Failed, w=90\",\"Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=90\",\"Find(3)=1, Find(7)=1, Add (3,7)=45 Failed, w=90\",\"Find(6)=1, Find(7)=1, Add (6,7)=68 Failed, w=90\",\"Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=90\",\"Find(2)=1, Find(7)=1, Add (2,7)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,3,13],[0,4,88],[0,5,36],[0,7,36],[1,3,20],[1,4,0],[1,7,37],[2,3,18],[2,6,16],[2,7,93],[3,4,27],[3,5,10],[3,7,45],[4,5,7],[4,6,9],[5,7,35],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(4,5)=7,(4,6)=9,(3,5)=10,(0,3)=13,(2,6)=16,(2,3)=18,(1,3)=20,(3,4)=27,(5,7)=35,(0,5)=36,(0,7)=36,(1,7)=37,(0,1)=41,(3,7)=45,(6,7)=68,(0,4)=88,(2,7)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, 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: 1, 6: 6, 7: 7}, Find(4)=1, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(6)=6, Add (4,6)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=3, Find(5)=1, Add (3,5)=10 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=2, Find(6)=1, Add (2,6)=16 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(3)=1, Add (2,3)=18 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(3)=1, Add (1,3)=20 Failed, w=55\",\"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)=27 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=35 Succeeded, w=90\",\"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)=36 Failed, w=90\",\"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)=36 Failed, w=90\",\"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)=37 Failed, w=90\",\"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)=41 Failed, w=90\",\"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)=45 Failed, w=90\",\"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)=68 Failed, w=90\",\"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)=88 Failed, w=90\",\"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)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,62],[0,2,40],[0,3,11],[0,4,26],[1,2,8],[1,3,74],[1,4,11],[1,5,39],[1,6,37],[2,3,18],[2,4,57],[2,5,34],[2,6,51],[3,4,95],[3,5,65],[3,6,24],[4,5,4],[4,6,81],[5,6,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,40],[0,3,11],[0,4,26],[1,2,8],[1,3,74],[1,4,11],[1,5,39],[1,6,37],[2,3,18],[2,4,57],[2,5,34],[2,6,51],[3,4,95],[3,5,65],[3,6,24],[4,5,4],[4,6,81],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,40],[0,3,11],[0,4,26],[1,2,8],[1,3,74],[1,4,11],[1,5,39],[1,6,37],[2,3,18],[2,4,57],[2,5,34],[2,6,51],[3,4,95],[3,5,65],[3,6,24],[4,5,4],[4,6,81],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (3,6)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,40],[0,3,11],[0,4,26],[1,2,8],[1,3,74],[1,4,11],[1,5,39],[1,6,37],[2,3,18],[2,4,57],[2,5,34],[2,6,51],[3,4,95],[3,5,65],[3,6,24],[4,5,4],[4,6,81],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4, w=4\",\"Add (1,2)=8, w=12\",\"Add (0,3)=11, w=23\",\"Add (1,4)=11, w=34\",\"Add (2,3)=18, w=52\",\"Add (3,6)=24, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,40],[0,3,11],[0,4,26],[1,2,8],[1,3,74],[1,4,11],[1,5,39],[1,6,37],[2,3,18],[2,4,57],[2,5,34],[2,6,51],[3,4,95],[3,5,65],[3,6,24],[4,5,4],[4,6,81],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4 Succeeded, w=4\",\"Add (1,2)=8 Succeeded, w=12\",\"Add (0,3)=11 Succeeded, w=23\",\"Add (1,4)=11 Succeeded, w=34\",\"Add (2,3)=18 Succeeded, w=52\",\"Add (3,6)=24 Succeeded, w=76\",\"Add (0,4)=26 Failed, w=76\",\"Add (2,5)=34 Failed, w=76\",\"Add (1,6)=37 Failed, w=76\",\"Add (1,5)=39 Failed, w=76\",\"Add (0,2)=40 Failed, w=76\",\"Add (2,6)=51 Failed, w=76\",\"Add (2,4)=57 Failed, w=76\",\"Add (0,1)=62 Failed, w=76\",\"Add (3,5)=65 Failed, w=76\",\"Add (1,3)=74 Failed, w=76\",\"Add (5,6)=78 Failed, w=76\",\"Add (4,6)=81 Failed, w=76\",\"Add (3,4)=95 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,40],[0,3,11],[0,4,26],[1,2,8],[1,3,74],[1,4,11],[1,5,39],[1,6,37],[2,3,18],[2,4,57],[2,5,34],[2,6,51],[3,4,95],[3,5,65],[3,6,24],[4,5,4],[4,6,81],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(1,2)=8,(0,3)=11,(1,4)=11,(2,3)=18,(3,6)=24,(0,4)=26,(2,5)=34,(1,6)=37,(1,5)=39,(0,2)=40,(2,6)=51,(2,4)=57,(0,1)=62,(3,5)=65,(1,3)=74,(5,6)=78,(4,6)=81,(3,4)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=23\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=34\",\"Find(2)=1, Find(3)=0, Add (2,3)=18 Succeeded, w=52\",\"Find(3)=1, Find(6)=6, Add (3,6)=24 Succeeded, w=76\",\"Find(0)=1, Find(4)=1, Add (0,4)=26 Failed, w=76\",\"Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=76\",\"Find(1)=1, Find(6)=1, Add (1,6)=37 Failed, w=76\",\"Find(1)=1, Find(5)=1, Add (1,5)=39 Failed, w=76\",\"Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=76\",\"Find(2)=1, Find(6)=1, Add (2,6)=51 Failed, w=76\",\"Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=76\",\"Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=76\",\"Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=76\",\"Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=76\",\"Find(5)=1, Find(6)=1, Add (5,6)=78 Failed, w=76\",\"Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=76\",\"Find(3)=1, Find(4)=1, Add (3,4)=95 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,40],[0,3,11],[0,4,26],[1,2,8],[1,3,74],[1,4,11],[1,5,39],[1,6,37],[2,3,18],[2,4,57],[2,5,34],[2,6,51],[3,4,95],[3,5,65],[3,6,24],[4,5,4],[4,6,81],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(1,2)=8,(0,3)=11,(1,4)=11,(2,3)=18,(3,6)=24,(0,4)=26,(2,5)=34,(1,6)=37,(1,5)=39,(0,2)=40,(2,6)=51,(2,4)=57,(0,1)=62,(3,5)=65,(1,3)=74,(5,6)=78,(4,6)=81,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 6}, Find(2)=1, Find(3)=0, Add (2,3)=18 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=24 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=26 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=37 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=39 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=51 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=65 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=78 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=95 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,74],[0,2,84],[0,3,64],[0,4,56],[0,5,21],[1,2,6],[1,3,49],[1,4,21],[1,5,58],[2,3,83],[2,4,99],[3,4,35],[3,5,70],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,84],[0,3,64],[0,4,56],[0,5,21],[1,2,6],[1,3,49],[1,4,21],[1,5,58],[2,3,83],[2,4,99],[3,4,35],[3,5,70],[4,5,8]]}",
"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],\"edges\":[[0,1,74],[0,2,84],[0,3,64],[0,4,56],[0,5,21],[1,2,6],[1,3,49],[1,4,21],[1,5,58],[2,3,83],[2,4,99],[3,4,35],[3,5,70],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,84],[0,3,64],[0,4,56],[0,5,21],[1,2,6],[1,3,49],[1,4,21],[1,5,58],[2,3,83],[2,4,99],[3,4,35],[3,5,70],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (4,5)=8, w=14\",\"Add (0,5)=21, w=35\",\"Add (1,4)=21, w=56\",\"Add (3,4)=35, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,84],[0,3,64],[0,4,56],[0,5,21],[1,2,6],[1,3,49],[1,4,21],[1,5,58],[2,3,83],[2,4,99],[3,4,35],[3,5,70],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (4,5)=8 Succeeded, w=14\",\"Add (0,5)=21 Succeeded, w=35\",\"Add (1,4)=21 Succeeded, w=56\",\"Add (3,4)=35 Succeeded, w=91\",\"Add (1,3)=49 Failed, w=91\",\"Add (0,4)=56 Failed, w=91\",\"Add (1,5)=58 Failed, w=91\",\"Add (0,3)=64 Failed, w=91\",\"Add (3,5)=70 Failed, w=91\",\"Add (0,1)=74 Failed, w=91\",\"Add (2,3)=83 Failed, w=91\",\"Add (0,2)=84 Failed, w=91\",\"Add (2,4)=99 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],\"edges\":[[0,1,74],[0,2,84],[0,3,64],[0,4,56],[0,5,21],[1,2,6],[1,3,49],[1,4,21],[1,5,58],[2,3,83],[2,4,99],[3,4,35],[3,5,70],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(4,5)=8,(0,5)=21,(1,4)=21,(3,4)=35,(1,3)=49,(0,4)=56,(1,5)=58,(0,3)=64,(3,5)=70,(0,1)=74,(2,3)=83,(0,2)=84,(2,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=14\",\"Find(0)=0, Find(5)=4, Add (0,5)=21 Succeeded, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=56\",\"Find(3)=3, Find(4)=1, Add (3,4)=35 Succeeded, w=91\",\"Find(1)=1, Find(3)=1, Add (1,3)=49 Failed, w=91\",\"Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=91\",\"Find(1)=1, Find(5)=1, Add (1,5)=58 Failed, w=91\",\"Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=91\",\"Find(3)=1, Find(5)=1, Add (3,5)=70 Failed, w=91\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=91\",\"Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=91\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=91\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 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],\"edges\":[[0,1,74],[0,2,84],[0,3,64],[0,4,56],[0,5,21],[1,2,6],[1,3,49],[1,4,21],[1,5,58],[2,3,83],[2,4,99],[3,4,35],[3,5,70],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(4,5)=8,(0,5)=21,(1,4)=21,(3,4)=35,(1,3)=49,(0,4)=56,(1,5)=58,(0,3)=64,(3,5)=70,(0,1)=74,(2,3)=83,(0,2)=84,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=14\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=21 Succeeded, w=35\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=56\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(3)=3, Find(4)=1, Add (3,4)=35 Succeeded, w=91\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(3)=1, Add (1,3)=49 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=58 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=70 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,70],[0,2,35],[0,3,72],[0,5,18],[1,4,46],[1,5,94],[1,6,0],[2,3,0],[2,5,44],[3,4,38],[5,6,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,35],[0,3,72],[0,5,18],[1,4,46],[1,5,94],[1,6,0],[2,3,0],[2,5,44],[3,4,38],[5,6,8]]}",
"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],\"edges\":[[0,1,70],[0,2,35],[0,3,72],[0,5,18],[1,4,46],[1,5,94],[1,6,0],[2,3,0],[2,5,44],[3,4,38],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,35],[0,3,72],[0,5,18],[1,4,46],[1,5,94],[1,6,0],[2,3,0],[2,5,44],[3,4,38],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0, w=0\",\"Add (2,3)=0, w=0\",\"Add (5,6)=8, w=8\",\"Add (0,5)=18, w=26\",\"Add (0,2)=35, w=61\",\"Add (3,4)=38, 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],\"edges\":[[0,1,70],[0,2,35],[0,3,72],[0,5,18],[1,4,46],[1,5,94],[1,6,0],[2,3,0],[2,5,44],[3,4,38],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=0 Succeeded, w=0\",\"Add (2,3)=0 Succeeded, w=0\",\"Add (5,6)=8 Succeeded, w=8\",\"Add (0,5)=18 Succeeded, w=26\",\"Add (0,2)=35 Succeeded, w=61\",\"Add (3,4)=38 Succeeded, w=99\",\"Add (2,5)=44 Failed, w=99\",\"Add (1,4)=46 Failed, w=99\",\"Add (0,1)=70 Failed, w=99\",\"Add (0,3)=72 Failed, w=99\",\"Add (1,5)=94 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],\"edges\":[[0,1,70],[0,2,35],[0,3,72],[0,5,18],[1,4,46],[1,5,94],[1,6,0],[2,3,0],[2,5,44],[3,4,38],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(2,3)=0,(5,6)=8,(0,5)=18,(0,2)=35,(3,4)=38,(2,5)=44,(1,4)=46,(0,1)=70,(0,3)=72,(1,5)=94]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(5)=5, Find(6)=1, Add (5,6)=8 Succeeded, w=8\",\"Find(0)=0, Find(5)=1, Add (0,5)=18 Succeeded, w=26\",\"Find(0)=1, Find(2)=2, Add (0,2)=35 Succeeded, w=61\",\"Find(3)=1, Find(4)=4, Add (3,4)=38 Succeeded, w=99\",\"Find(2)=1, Find(5)=1, Add (2,5)=44 Failed, w=99\",\"Find(1)=1, Find(4)=1, Add (1,4)=46 Failed, w=99\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=99\",\"Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=99\",\"Find(1)=1, Find(5)=1, Add (1,5)=94 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],\"edges\":[[0,1,70],[0,2,35],[0,3,72],[0,5,18],[1,4,46],[1,5,94],[1,6,0],[2,3,0],[2,5,44],[3,4,38],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=0,(2,3)=0,(5,6)=8,(0,5)=18,(0,2)=35,(3,4)=38,(2,5)=44,(1,4)=46,(0,1)=70,(0,3)=72,(1,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(5)=1, Add (0,5)=18 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(2)=2, Add (0,2)=35 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=4, Add (3,4)=38 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=44 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=46 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,17],[0,2,67],[0,4,42],[0,5,47],[0,6,38],[0,7,30],[1,2,78],[1,3,14],[1,4,28],[1,5,1],[1,6,36],[1,7,33],[2,3,69],[2,4,83],[2,5,66],[2,6,22],[2,7,93],[3,4,40],[3,5,39],[3,6,20],[4,5,36],[4,6,91],[4,7,4],[5,6,36],[5,7,84],[6,7,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,67],[0,4,42],[0,5,47],[0,6,38],[0,7,30],[1,2,78],[1,3,14],[1,4,28],[1,5,1],[1,6,36],[1,7,33],[2,3,69],[2,4,83],[2,5,66],[2,6,22],[2,7,93],[3,4,40],[3,5,39],[3,6,20],[4,5,36],[4,6,91],[4,7,4],[5,6,36],[5,7,84],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"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],[0,2,67],[0,4,42],[0,5,47],[0,6,38],[0,7,30],[1,2,78],[1,3,14],[1,4,28],[1,5,1],[1,6,36],[1,7,33],[2,3,69],[2,4,83],[2,5,66],[2,6,22],[2,7,93],[3,4,40],[3,5,39],[3,6,20],[4,5,36],[4,6,91],[4,7,4],[5,6,36],[5,7,84],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,7)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (1,4)\"],\"Answer\":106}",
"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],[0,2,67],[0,4,42],[0,5,47],[0,6,38],[0,7,30],[1,2,78],[1,3,14],[1,4,28],[1,5,1],[1,6,36],[1,7,33],[2,3,69],[2,4,83],[2,5,66],[2,6,22],[2,7,93],[3,4,40],[3,5,39],[3,6,20],[4,5,36],[4,6,91],[4,7,4],[5,6,36],[5,7,84],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (4,7)=4, w=5\",\"Add (1,3)=14, w=19\",\"Add (0,1)=17, w=36\",\"Add (3,6)=20, w=56\",\"Add (2,6)=22, w=78\",\"Add (1,4)=28, w=106\"],\"Answer\":106}",
"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],[0,2,67],[0,4,42],[0,5,47],[0,6,38],[0,7,30],[1,2,78],[1,3,14],[1,4,28],[1,5,1],[1,6,36],[1,7,33],[2,3,69],[2,4,83],[2,5,66],[2,6,22],[2,7,93],[3,4,40],[3,5,39],[3,6,20],[4,5,36],[4,6,91],[4,7,4],[5,6,36],[5,7,84],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (4,7)=4 Succeeded, w=5\",\"Add (1,3)=14 Succeeded, w=19\",\"Add (0,1)=17 Succeeded, w=36\",\"Add (3,6)=20 Succeeded, w=56\",\"Add (2,6)=22 Succeeded, w=78\",\"Add (1,4)=28 Succeeded, w=106\",\"Add (0,7)=30 Failed, w=106\",\"Add (1,7)=33 Failed, w=106\",\"Add (1,6)=36 Failed, w=106\",\"Add (4,5)=36 Failed, w=106\",\"Add (5,6)=36 Failed, w=106\",\"Add (0,6)=38 Failed, w=106\",\"Add (3,5)=39 Failed, w=106\",\"Add (3,4)=40 Failed, w=106\",\"Add (0,4)=42 Failed, w=106\",\"Add (0,5)=47 Failed, w=106\",\"Add (6,7)=47 Failed, w=106\",\"Add (2,5)=66 Failed, w=106\",\"Add (0,2)=67 Failed, w=106\",\"Add (2,3)=69 Failed, w=106\",\"Add (1,2)=78 Failed, w=106\",\"Add (2,4)=83 Failed, w=106\",\"Add (5,7)=84 Failed, w=106\",\"Add (4,6)=91 Failed, w=106\",\"Add (2,7)=93 Failed, w=106\"],\"Answer\":106}",
"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],[0,2,67],[0,4,42],[0,5,47],[0,6,38],[0,7,30],[1,2,78],[1,3,14],[1,4,28],[1,5,1],[1,6,36],[1,7,33],[2,3,69],[2,4,83],[2,5,66],[2,6,22],[2,7,93],[3,4,40],[3,5,39],[3,6,20],[4,5,36],[4,6,91],[4,7,4],[5,6,36],[5,7,84],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(4,7)=4,(1,3)=14,(0,1)=17,(3,6)=20,(2,6)=22,(1,4)=28,(0,7)=30,(1,7)=33,(1,6)=36,(4,5)=36,(5,6)=36,(0,6)=38,(3,5)=39,(3,4)=40,(0,4)=42,(0,5)=47,(6,7)=47,(2,5)=66,(0,2)=67,(2,3)=69,(1,2)=78,(2,4)=83,(5,7)=84,(4,6)=91,(2,7)=93]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(7)=7, Add (4,7)=4 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=36\",\"Find(3)=1, Find(6)=6, Add (3,6)=20 Succeeded, w=56\",\"Find(2)=2, Find(6)=1, Add (2,6)=22 Succeeded, w=78\",\"Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=106\",\"Find(0)=1, Find(7)=1, Add (0,7)=30 Failed, w=106\",\"Find(1)=1, Find(7)=1, Add (1,7)=33 Failed, w=106\",\"Find(1)=1, Find(6)=1, Add (1,6)=36 Failed, w=106\",\"Find(4)=1, Find(5)=1, Add (4,5)=36 Failed, w=106\",\"Find(5)=1, Find(6)=1, Add (5,6)=36 Failed, w=106\",\"Find(0)=1, Find(6)=1, Add (0,6)=38 Failed, w=106\",\"Find(3)=1, Find(5)=1, Add (3,5)=39 Failed, w=106\",\"Find(3)=1, Find(4)=1, Add (3,4)=40 Failed, w=106\",\"Find(0)=1, Find(4)=1, Add (0,4)=42 Failed, w=106\",\"Find(0)=1, Find(5)=1, Add (0,5)=47 Failed, w=106\",\"Find(6)=1, Find(7)=1, Add (6,7)=47 Failed, w=106\",\"Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=106\",\"Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=106\",\"Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=106\",\"Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=106\",\"Find(2)=1, Find(4)=1, Add (2,4)=83 Failed, w=106\",\"Find(5)=1, Find(7)=1, Add (5,7)=84 Failed, w=106\",\"Find(4)=1, Find(6)=1, Add (4,6)=91 Failed, w=106\",\"Find(2)=1, Find(7)=1, Add (2,7)=93 Failed, w=106\"],\"Answer\":106}",
"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],[0,2,67],[0,4,42],[0,5,47],[0,6,38],[0,7,30],[1,2,78],[1,3,14],[1,4,28],[1,5,1],[1,6,36],[1,7,33],[2,3,69],[2,4,83],[2,5,66],[2,6,22],[2,7,93],[3,4,40],[3,5,39],[3,6,20],[4,5,36],[4,6,91],[4,7,4],[5,6,36],[5,7,84],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(4,7)=4,(1,3)=14,(0,1)=17,(3,6)=20,(2,6)=22,(1,4)=28,(0,7)=30,(1,7)=33,(1,6)=36,(4,5)=36,(5,6)=36,(0,6)=38,(3,5)=39,(3,4)=40,(0,4)=42,(0,5)=47,(6,7)=47,(2,5)=66,(0,2)=67,(2,3)=69,(1,2)=78,(2,4)=83,(5,7)=84,(4,6)=91,(2,7)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 4}, Find(3)=1, Find(6)=6, Add (3,6)=20 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 4}, Find(2)=2, Find(6)=1, Add (2,6)=22 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=106\",\"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)=30 Failed, w=106\",\"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)=33 Failed, w=106\",\"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)=36 Failed, w=106\",\"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)=36 Failed, w=106\",\"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)=36 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=38 Failed, w=106\",\"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)=39 Failed, w=106\",\"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)=40 Failed, w=106\",\"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)=42 Failed, w=106\",\"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)=47 Failed, w=106\",\"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)=47 Failed, w=106\",\"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)=66 Failed, w=106\",\"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)=67 Failed, w=106\",\"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)=69 Failed, w=106\",\"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)=78 Failed, w=106\",\"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)=83 Failed, w=106\",\"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)=84 Failed, w=106\",\"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)=91 Failed, w=106\",\"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)=93 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,90],[0,4,79],[1,2,66],[2,3,9],[2,4,48],[3,4,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,4,79],[1,2,66],[2,3,9],[2,4,48],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,4,79],[1,2,66],[2,3,9],[2,4,48],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,4,79],[1,2,66],[2,3,9],[2,4,48],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9, w=9\",\"Add (3,4)=14, w=23\",\"Add (1,2)=66, w=89\",\"Add (0,4)=79, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,4,79],[1,2,66],[2,3,9],[2,4,48],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9 Succeeded, w=9\",\"Add (3,4)=14 Succeeded, w=23\",\"Add (2,4)=48 Failed, w=23\",\"Add (1,2)=66 Succeeded, w=89\",\"Add (0,4)=79 Succeeded, w=168\",\"Add (0,2)=90 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,4,79],[1,2,66],[2,3,9],[2,4,48],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(3,4)=14,(2,4)=48,(1,2)=66,(0,4)=79,(0,2)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Find(3)=2, Find(4)=4, Add (3,4)=14 Succeeded, w=23\",\"Find(2)=2, Find(4)=2, Add (2,4)=48 Failed, w=23\",\"Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=89\",\"Find(0)=0, Find(4)=2, Add (0,4)=79 Succeeded, w=168\",\"Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,4,79],[1,2,66],[2,3,9],[2,4,48],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(3,4)=14,(2,4)=48,(1,2)=66,(0,4)=79,(0,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=48 Failed, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=79 Succeeded, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,2,7],[0,3,92],[0,4,89],[1,3,6],[1,4,48],[2,3,71],[2,4,33],[3,4,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,7],[0,3,92],[0,4,89],[1,3,6],[1,4,48],[2,3,71],[2,4,33],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,7],[0,3,92],[0,4,89],[1,3,6],[1,4,48],[2,3,71],[2,4,33],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,7],[0,3,92],[0,4,89],[1,3,6],[1,4,48],[2,3,71],[2,4,33],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (0,2)=7, w=13\",\"Add (2,4)=33, w=46\",\"Add (1,4)=48, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,7],[0,3,92],[0,4,89],[1,3,6],[1,4,48],[2,3,71],[2,4,33],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (0,2)=7 Succeeded, w=13\",\"Add (2,4)=33 Succeeded, w=46\",\"Add (1,4)=48 Succeeded, w=94\",\"Add (2,3)=71 Failed, w=94\",\"Add (0,1)=79 Failed, w=94\",\"Add (3,4)=85 Failed, w=94\",\"Add (0,4)=89 Failed, w=94\",\"Add (0,3)=92 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,7],[0,3,92],[0,4,89],[1,3,6],[1,4,48],[2,3,71],[2,4,33],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(0,2)=7,(2,4)=33,(1,4)=48,(2,3)=71,(0,1)=79,(3,4)=85,(0,4)=89,(0,3)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=13\",\"Find(2)=0, Find(4)=4, Add (2,4)=33 Succeeded, w=46\",\"Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=94\",\"Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=94\",\"Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=94\",\"Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=94\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=94\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,7],[0,3,92],[0,4,89],[1,3,6],[1,4,48],[2,3,71],[2,4,33],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(0,2)=7,(2,4)=33,(1,4)=48,(2,3)=71,(0,1)=79,(3,4)=85,(0,4)=89,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=33 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,30],[0,3,91],[1,2,46],[1,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,91],[1,2,46],[1,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,91],[1,2,46],[1,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,91],[1,2,46],[1,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (0,1)=30, w=41\",\"Add (1,2)=46, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,91],[1,2,46],[1,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (0,1)=30 Succeeded, w=41\",\"Add (1,2)=46 Succeeded, w=87\",\"Add (0,3)=91 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,91],[1,2,46],[1,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(0,1)=30,(1,2)=46,(0,3)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=41\",\"Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=87\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,91],[1,2,46],[1,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(0,1)=30,(1,2)=46,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,0],[0,3,37],[0,4,39],[0,5,17],[1,3,19],[1,5,93],[2,4,32],[3,5,59],[3,6,99],[4,5,65],[4,6,11],[5,6,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,37],[0,4,39],[0,5,17],[1,3,19],[1,5,93],[2,4,32],[3,5,59],[3,6,99],[4,5,65],[4,6,11],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,37],[0,4,39],[0,5,17],[1,3,19],[1,5,93],[2,4,32],[3,5,59],[3,6,99],[4,5,65],[4,6,11],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,37],[0,4,39],[0,5,17],[1,3,19],[1,5,93],[2,4,32],[3,5,59],[3,6,99],[4,5,65],[4,6,11],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (4,6)=11, w=11\",\"Add (0,5)=17, w=28\",\"Add (1,3)=19, w=47\",\"Add (2,4)=32, w=79\",\"Add (0,3)=37, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,37],[0,4,39],[0,5,17],[1,3,19],[1,5,93],[2,4,32],[3,5,59],[3,6,99],[4,5,65],[4,6,11],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (4,6)=11 Succeeded, w=11\",\"Add (0,5)=17 Succeeded, w=28\",\"Add (1,3)=19 Succeeded, w=47\",\"Add (2,4)=32 Succeeded, w=79\",\"Add (0,3)=37 Succeeded, w=116\",\"Add (0,4)=39 Failed, w=116\",\"Add (3,5)=59 Failed, w=116\",\"Add (4,5)=65 Failed, w=116\",\"Add (5,6)=79 Failed, w=116\",\"Add (1,5)=93 Failed, w=116\",\"Add (3,6)=99 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,37],[0,4,39],[0,5,17],[1,3,19],[1,5,93],[2,4,32],[3,5,59],[3,6,99],[4,5,65],[4,6,11],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(4,6)=11,(0,5)=17,(1,3)=19,(2,4)=32,(0,3)=37,(0,4)=39,(3,5)=59,(4,5)=65,(5,6)=79,(1,5)=93,(3,6)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=6, Add (4,6)=11 Succeeded, w=11\",\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=47\",\"Find(2)=0, Find(4)=4, Add (2,4)=32 Succeeded, w=79\",\"Find(0)=0, Find(3)=1, Add (0,3)=37 Succeeded, w=116\",\"Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=116\",\"Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=116\",\"Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=116\",\"Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=116\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=116\",\"Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,0],[0,3,37],[0,4,39],[0,5,17],[1,3,19],[1,5,93],[2,4,32],[3,5,59],[3,6,99],[4,5,65],[4,6,11],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(4,6)=11,(0,5)=17,(1,3)=19,(2,4)=32,(0,3)=37,(0,4)=39,(3,5)=59,(4,5)=65,(5,6)=79,(1,5)=93,(3,6)=99]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 4}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 4}, Find(2)=0, Find(4)=4, Add (2,4)=32 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(3)=1, Add (0,3)=37 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,52],[0,2,64],[0,3,29],[0,4,33],[0,5,25],[1,2,63],[1,3,21],[1,4,49],[1,5,29],[2,3,84],[2,4,51],[2,5,20],[3,4,92],[3,5,9],[4,5,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,64],[0,3,29],[0,4,33],[0,5,25],[1,2,63],[1,3,21],[1,4,49],[1,5,29],[2,3,84],[2,4,51],[2,5,20],[3,4,92],[3,5,9],[4,5,98]]}",
"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\":[[0,1,52],[0,2,64],[0,3,29],[0,4,33],[0,5,25],[1,2,63],[1,3,21],[1,4,49],[1,5,29],[2,3,84],[2,4,51],[2,5,20],[3,4,92],[3,5,9],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (0,4)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,64],[0,3,29],[0,4,33],[0,5,25],[1,2,63],[1,3,21],[1,4,49],[1,5,29],[2,3,84],[2,4,51],[2,5,20],[3,4,92],[3,5,9],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=9, w=9\",\"Add (2,5)=20, w=29\",\"Add (1,3)=21, w=50\",\"Add (0,5)=25, w=75\",\"Add (0,4)=33, 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\":[[0,1,52],[0,2,64],[0,3,29],[0,4,33],[0,5,25],[1,2,63],[1,3,21],[1,4,49],[1,5,29],[2,3,84],[2,4,51],[2,5,20],[3,4,92],[3,5,9],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=9 Succeeded, w=9\",\"Add (2,5)=20 Succeeded, w=29\",\"Add (1,3)=21 Succeeded, w=50\",\"Add (0,5)=25 Succeeded, w=75\",\"Add (0,3)=29 Failed, w=75\",\"Add (1,5)=29 Failed, w=75\",\"Add (0,4)=33 Succeeded, w=108\",\"Add (1,4)=49 Failed, w=108\",\"Add (2,4)=51 Failed, w=108\",\"Add (0,1)=52 Failed, w=108\",\"Add (1,2)=63 Failed, w=108\",\"Add (0,2)=64 Failed, w=108\",\"Add (2,3)=84 Failed, w=108\",\"Add (3,4)=92 Failed, w=108\",\"Add (4,5)=98 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\":[[0,1,52],[0,2,64],[0,3,29],[0,4,33],[0,5,25],[1,2,63],[1,3,21],[1,4,49],[1,5,29],[2,3,84],[2,4,51],[2,5,20],[3,4,92],[3,5,9],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=9,(2,5)=20,(1,3)=21,(0,5)=25,(0,3)=29,(1,5)=29,(0,4)=33,(1,4)=49,(2,4)=51,(0,1)=52,(1,2)=63,(0,2)=64,(2,3)=84,(3,4)=92,(4,5)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=9\",\"Find(2)=2, Find(5)=3, Add (2,5)=20 Succeeded, w=29\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=50\",\"Find(0)=0, Find(5)=3, Add (0,5)=25 Succeeded, w=75\",\"Find(0)=3, Find(3)=3, Add (0,3)=29 Failed, w=75\",\"Find(1)=3, Find(5)=3, Add (1,5)=29 Failed, w=75\",\"Find(0)=3, Find(4)=4, Add (0,4)=33 Succeeded, w=108\",\"Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=108\",\"Find(2)=3, Find(4)=3, Add (2,4)=51 Failed, w=108\",\"Find(0)=3, Find(1)=3, Add (0,1)=52 Failed, w=108\",\"Find(1)=3, Find(2)=3, Add (1,2)=63 Failed, w=108\",\"Find(0)=3, Find(2)=3, Add (0,2)=64 Failed, w=108\",\"Find(2)=3, Find(3)=3, Add (2,3)=84 Failed, w=108\",\"Find(3)=3, Find(4)=3, Add (3,4)=92 Failed, w=108\",\"Find(4)=3, Find(5)=3, Add (4,5)=98 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\":[[0,1,52],[0,2,64],[0,3,29],[0,4,33],[0,5,25],[1,2,63],[1,3,21],[1,4,49],[1,5,29],[2,3,84],[2,4,51],[2,5,20],[3,4,92],[3,5,9],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=9,(2,5)=20,(1,3)=21,(0,5)=25,(0,3)=29,(1,5)=29,(0,4)=33,(1,4)=49,(2,4)=51,(0,1)=52,(1,2)=63,(0,2)=64,(2,3)=84,(3,4)=92,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=20 Succeeded, w=29\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=50\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=25 Succeeded, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=29 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=29 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=4, Add (0,4)=33 Succeeded, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=51 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=52 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=63 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=64 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=84 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=92 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=98 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,4],[0,2,43],[0,4,72],[0,5,9],[1,2,71],[1,3,86],[1,4,22],[1,5,61],[2,3,20],[2,5,99],[3,4,17],[3,5,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,43],[0,4,72],[0,5,9],[1,2,71],[1,3,86],[1,4,22],[1,5,61],[2,3,20],[2,5,99],[3,4,17],[3,5,85]]}",
"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],\"edges\":[[0,1,4],[0,2,43],[0,4,72],[0,5,9],[1,2,71],[1,3,86],[1,4,22],[1,5,61],[2,3,20],[2,5,99],[3,4,17],[3,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,43],[0,4,72],[0,5,9],[1,2,71],[1,3,86],[1,4,22],[1,5,61],[2,3,20],[2,5,99],[3,4,17],[3,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (0,5)=9, w=13\",\"Add (3,4)=17, w=30\",\"Add (2,3)=20, w=50\",\"Add (1,4)=22, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,43],[0,4,72],[0,5,9],[1,2,71],[1,3,86],[1,4,22],[1,5,61],[2,3,20],[2,5,99],[3,4,17],[3,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (0,5)=9 Succeeded, w=13\",\"Add (3,4)=17 Succeeded, w=30\",\"Add (2,3)=20 Succeeded, w=50\",\"Add (1,4)=22 Succeeded, w=72\",\"Add (0,2)=43 Failed, w=72\",\"Add (1,5)=61 Failed, w=72\",\"Add (1,2)=71 Failed, w=72\",\"Add (0,4)=72 Failed, w=72\",\"Add (3,5)=85 Failed, w=72\",\"Add (1,3)=86 Failed, w=72\",\"Add (2,5)=99 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],\"edges\":[[0,1,4],[0,2,43],[0,4,72],[0,5,9],[1,2,71],[1,3,86],[1,4,22],[1,5,61],[2,3,20],[2,5,99],[3,4,17],[3,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(0,5)=9,(3,4)=17,(2,3)=20,(1,4)=22,(0,2)=43,(1,5)=61,(1,2)=71,(0,4)=72,(3,5)=85,(1,3)=86,(2,5)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=13\",\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=30\",\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=50\",\"Find(1)=0, Find(4)=3, Add (1,4)=22 Succeeded, w=72\",\"Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=72\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=72\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=72\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=72\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=72\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=72\",\"Find(2)=0, Find(5)=0, Add (2,5)=99 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],\"edges\":[[0,1,4],[0,2,43],[0,4,72],[0,5,9],[1,2,71],[1,3,86],[1,4,22],[1,5,61],[2,3,20],[2,5,99],[3,4,17],[3,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(0,5)=9,(3,4)=17,(2,3)=20,(1,4)=22,(0,2)=43,(1,5)=61,(1,2)=71,(0,4)=72,(3,5)=85,(1,3)=86,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(4)=3, Add (1,4)=22 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,3,40],[0,4,85],[3,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,40],[0,4,85],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,40],[0,4,85],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,40],[0,4,85],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (0,3)=40, w=48\",\"Add (3,4)=58, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,40],[0,4,85],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,3)=40 Succeeded, w=48\",\"Add (3,4)=58 Succeeded, w=106\",\"Add (0,4)=85 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,40],[0,4,85],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,3)=40,(3,4)=58,(0,4)=85]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=48\",\"Find(3)=0, Find(4)=4, Add (3,4)=58 Succeeded, w=106\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,3,40],[0,4,85],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,3)=40,(3,4)=58,(0,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=58 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,82],[0,2,78],[0,3,51],[0,4,45],[1,2,88],[1,4,4],[2,3,80],[2,4,97],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,51],[0,4,45],[1,2,88],[1,4,4],[2,3,80],[2,4,97],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,51],[0,4,45],[1,2,88],[1,4,4],[2,3,80],[2,4,97],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,51],[0,4,45],[1,2,88],[1,4,4],[2,3,80],[2,4,97],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (0,4)=45, w=49\",\"Add (0,3)=51, w=100\",\"Add (0,2)=78, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,51],[0,4,45],[1,2,88],[1,4,4],[2,3,80],[2,4,97],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (0,4)=45 Succeeded, w=49\",\"Add (0,3)=51 Succeeded, w=100\",\"Add (0,2)=78 Succeeded, w=178\",\"Add (2,3)=80 Failed, w=178\",\"Add (3,4)=81 Failed, w=178\",\"Add (0,1)=82 Failed, w=178\",\"Add (1,2)=88 Failed, w=178\",\"Add (2,4)=97 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,51],[0,4,45],[1,2,88],[1,4,4],[2,3,80],[2,4,97],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,4)=45,(0,3)=51,(0,2)=78,(2,3)=80,(3,4)=81,(0,1)=82,(1,2)=88,(2,4)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=1, Add (0,4)=45 Succeeded, w=49\",\"Find(0)=1, Find(3)=3, Add (0,3)=51 Succeeded, w=100\",\"Find(0)=1, Find(2)=2, Add (0,2)=78 Succeeded, w=178\",\"Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=178\",\"Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=178\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=178\",\"Find(1)=1, Find(2)=1, Add (1,2)=88 Failed, w=178\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,51],[0,4,45],[1,2,88],[1,4,4],[2,3,80],[2,4,97],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,4)=45,(0,3)=51,(0,2)=78,(2,3)=80,(3,4)=81,(0,1)=82,(1,2)=88,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=45 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=51 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=78 Succeeded, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=88 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,13],[0,3,21],[0,4,41],[0,5,18],[1,2,94],[1,3,82],[1,4,9],[1,5,13],[2,3,32],[3,5,53],[4,5,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,13],[0,3,21],[0,4,41],[0,5,18],[1,2,94],[1,3,82],[1,4,9],[1,5,13],[2,3,32],[3,5,53],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,13],[0,3,21],[0,4,41],[0,5,18],[1,2,94],[1,3,82],[1,4,9],[1,5,13],[2,3,32],[3,5,53],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (0,3)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,13],[0,3,21],[0,4,41],[0,5,18],[1,2,94],[1,3,82],[1,4,9],[1,5,13],[2,3,32],[3,5,53],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=9, w=9\",\"Add (4,5)=12, w=21\",\"Add (0,2)=13, w=34\",\"Add (0,5)=18, w=52\",\"Add (0,3)=21, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,13],[0,3,21],[0,4,41],[0,5,18],[1,2,94],[1,3,82],[1,4,9],[1,5,13],[2,3,32],[3,5,53],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=9 Succeeded, w=9\",\"Add (4,5)=12 Succeeded, w=21\",\"Add (0,2)=13 Succeeded, w=34\",\"Add (1,5)=13 Failed, w=34\",\"Add (0,5)=18 Succeeded, w=52\",\"Add (0,3)=21 Succeeded, w=73\",\"Add (2,3)=32 Failed, w=73\",\"Add (0,4)=41 Failed, w=73\",\"Add (3,5)=53 Failed, w=73\",\"Add (1,3)=82 Failed, w=73\",\"Add (1,2)=94 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,13],[0,3,21],[0,4,41],[0,5,18],[1,2,94],[1,3,82],[1,4,9],[1,5,13],[2,3,32],[3,5,53],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=9,(4,5)=12,(0,2)=13,(1,5)=13,(0,5)=18,(0,3)=21,(2,3)=32,(0,4)=41,(3,5)=53,(1,3)=82,(1,2)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Find(4)=1, Find(5)=5, Add (4,5)=12 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=34\",\"Find(1)=1, Find(5)=1, Add (1,5)=13 Failed, w=34\",\"Find(0)=0, Find(5)=1, Add (0,5)=18 Succeeded, w=52\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=73\",\"Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=73\",\"Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=73\",\"Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=73\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,13],[0,3,21],[0,4,41],[0,5,18],[1,2,94],[1,3,82],[1,4,9],[1,5,13],[2,3,32],[3,5,53],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=9,(4,5)=12,(0,2)=13,(1,5)=13,(0,5)=18,(0,3)=21,(2,3)=32,(0,4)=41,(3,5)=53,(1,3)=82,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=13 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=18 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,2,91],[0,3,87],[0,4,52],[1,2,2],[1,4,79],[2,3,38],[2,4,87],[3,4,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,91],[0,3,87],[0,4,52],[1,2,2],[1,4,79],[2,3,38],[2,4,87],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,91],[0,3,87],[0,4,52],[1,2,2],[1,4,79],[2,3,38],[2,4,87],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,91],[0,3,87],[0,4,52],[1,2,2],[1,4,79],[2,3,38],[2,4,87],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (0,1)=14, w=16\",\"Add (2,3)=38, w=54\",\"Add (0,4)=52, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,91],[0,3,87],[0,4,52],[1,2,2],[1,4,79],[2,3,38],[2,4,87],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (0,1)=14 Succeeded, w=16\",\"Add (2,3)=38 Succeeded, w=54\",\"Add (0,4)=52 Succeeded, w=106\",\"Add (3,4)=77 Failed, w=106\",\"Add (1,4)=79 Failed, w=106\",\"Add (0,3)=87 Failed, w=106\",\"Add (2,4)=87 Failed, w=106\",\"Add (0,2)=91 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,91],[0,3,87],[0,4,52],[1,2,2],[1,4,79],[2,3,38],[2,4,87],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,1)=14,(2,3)=38,(0,4)=52,(3,4)=77,(1,4)=79,(0,3)=87,(2,4)=87,(0,2)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=16\",\"Find(2)=1, Find(3)=3, Add (2,3)=38 Succeeded, w=54\",\"Find(0)=1, Find(4)=4, Add (0,4)=52 Succeeded, w=106\",\"Find(3)=1, Find(4)=1, Add (3,4)=77 Failed, w=106\",\"Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=106\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=106\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=106\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,2,91],[0,3,87],[0,4,52],[1,2,2],[1,4,79],[2,3,38],[2,4,87],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,1)=14,(2,3)=38,(0,4)=52,(3,4)=77,(1,4)=79,(0,3)=87,(2,4)=87,(0,2)=91]\",\"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: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=38 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=52 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=77 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=79 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,83],[0,5,83],[1,2,97],[1,5,47],[2,4,31],[2,5,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,83],[0,5,83],[1,2,97],[1,5,47],[2,4,31],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,83],[0,5,83],[1,2,97],[1,5,47],[2,4,31],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,83],[0,5,83],[1,2,97],[1,5,47],[2,4,31],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=15, w=15\",\"Add (2,4)=31, w=46\",\"Add (1,5)=47, w=93\",\"Add (0,3)=83, w=176\",\"Add (0,5)=83, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,83],[0,5,83],[1,2,97],[1,5,47],[2,4,31],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=15 Succeeded, w=15\",\"Add (2,4)=31 Succeeded, w=46\",\"Add (1,5)=47 Succeeded, w=93\",\"Add (0,3)=83 Succeeded, w=176\",\"Add (0,5)=83 Succeeded, w=259\",\"Add (1,2)=97 Failed, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,83],[0,5,83],[1,2,97],[1,5,47],[2,4,31],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=15,(2,4)=31,(1,5)=47,(0,3)=83,(0,5)=83,(1,2)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=46\",\"Find(1)=1, Find(5)=2, Add (1,5)=47 Succeeded, w=93\",\"Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=176\",\"Find(0)=0, Find(5)=2, Add (0,5)=83 Succeeded, w=259\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,83],[0,5,83],[1,2,97],[1,5,47],[2,4,31],[2,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=15,(2,4)=31,(1,5)=47,(0,3)=83,(0,5)=83,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=46\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=47 Succeeded, w=93\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=176\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=83 Succeeded, w=259\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=259\"],\"Answer\":259}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,3,74],[2,3,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=74, w=74\",\"Add (2,3)=76, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=74 Succeeded, w=74\",\"Add (2,3)=76 Succeeded, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=74,(2,3)=76]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=74 Succeeded, w=74\",\"Find(2)=2, Find(3)=1, Add (2,3)=76 Succeeded, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,74],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=74,(2,3)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=74 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=76 Succeeded, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,2,43],[0,3,32],[0,4,74],[1,2,79],[1,3,78],[1,4,61],[2,3,98],[2,4,11],[3,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,43],[0,3,32],[0,4,74],[1,2,79],[1,3,78],[1,4,61],[2,3,98],[2,4,11],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,43],[0,3,32],[0,4,74],[1,2,79],[1,3,78],[1,4,61],[2,3,98],[2,4,11],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,43],[0,3,32],[0,4,74],[1,2,79],[1,3,78],[1,4,61],[2,3,98],[2,4,11],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (0,1)=8, w=11\",\"Add (2,4)=11, w=22\",\"Add (0,3)=32, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,43],[0,3,32],[0,4,74],[1,2,79],[1,3,78],[1,4,61],[2,3,98],[2,4,11],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (0,1)=8 Succeeded, w=11\",\"Add (2,4)=11 Succeeded, w=22\",\"Add (0,3)=32 Succeeded, w=54\",\"Add (0,2)=43 Failed, w=54\",\"Add (1,4)=61 Failed, w=54\",\"Add (0,4)=74 Failed, w=54\",\"Add (1,3)=78 Failed, w=54\",\"Add (1,2)=79 Failed, w=54\",\"Add (2,3)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,43],[0,3,32],[0,4,74],[1,2,79],[1,3,78],[1,4,61],[2,3,98],[2,4,11],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,1)=8,(2,4)=11,(0,3)=32,(0,2)=43,(1,4)=61,(0,4)=74,(1,3)=78,(1,2)=79,(2,3)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=11\",\"Find(2)=2, Find(4)=3, Add (2,4)=11 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=54\",\"Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=54\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=54\",\"Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=54\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=54\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=54\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,43],[0,3,32],[0,4,74],[1,2,79],[1,3,78],[1,4,61],[2,3,98],[2,4,11],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,1)=8,(2,4)=11,(0,3)=32,(0,2)=43,(1,4)=61,(0,4)=74,(1,3)=78,(1,2)=79,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=0, Add (0,2)=43 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,90],[0,4,96],[1,4,85],[2,3,25],[2,4,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,90],[0,4,96],[1,4,85],[2,3,25],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,90],[0,4,96],[1,4,85],[2,3,25],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,90],[0,4,96],[1,4,85],[2,3,25],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=25, w=25\",\"Add (2,4)=71, w=96\",\"Add (1,4)=85, w=181\",\"Add (0,3)=90, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,90],[0,4,96],[1,4,85],[2,3,25],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=25 Succeeded, w=25\",\"Add (2,4)=71 Succeeded, w=96\",\"Add (1,4)=85 Succeeded, w=181\",\"Add (0,3)=90 Succeeded, w=271\",\"Add (0,4)=96 Failed, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,90],[0,4,96],[1,4,85],[2,3,25],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=25,(2,4)=71,(1,4)=85,(0,3)=90,(0,4)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=25\",\"Find(2)=2, Find(4)=4, Add (2,4)=71 Succeeded, w=96\",\"Find(1)=1, Find(4)=2, Add (1,4)=85 Succeeded, w=181\",\"Find(0)=0, Find(3)=2, Add (0,3)=90 Succeeded, w=271\",\"Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,90],[0,4,96],[1,4,85],[2,3,25],[2,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=25,(2,4)=71,(1,4)=85,(0,3)=90,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=71 Succeeded, w=96\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=85 Succeeded, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=90 Succeeded, w=271\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,2],[0,2,73],[0,3,76],[1,2,82],[1,3,98],[2,3,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,73],[0,3,76],[1,2,82],[1,3,98],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,73],[0,3,76],[1,2,82],[1,3,98],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,73],[0,3,76],[1,2,82],[1,3,98],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,2)=73, w=75\",\"Add (0,3)=76, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,73],[0,3,76],[1,2,82],[1,3,98],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,2)=73 Succeeded, w=75\",\"Add (0,3)=76 Succeeded, w=151\",\"Add (1,2)=82 Failed, w=151\",\"Add (2,3)=94 Failed, w=151\",\"Add (1,3)=98 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,73],[0,3,76],[1,2,82],[1,3,98],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,2)=73,(0,3)=76,(1,2)=82,(2,3)=94,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=73 Succeeded, w=75\",\"Find(0)=0, Find(3)=3, Add (0,3)=76 Succeeded, w=151\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=151\",\"Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,73],[0,3,76],[1,2,82],[1,3,98],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,2)=73,(0,3)=76,(1,2)=82,(2,3)=94,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=73 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=76 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,63],[0,2,74],[0,3,5],[1,2,6],[2,3,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,74],[0,3,5],[1,2,6],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,74],[0,3,5],[1,2,6],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,74],[0,3,5],[1,2,6],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (1,2)=6, w=11\",\"Add (0,1)=63, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,74],[0,3,5],[1,2,6],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (1,2)=6 Succeeded, w=11\",\"Add (0,1)=63 Succeeded, w=74\",\"Add (0,2)=74 Failed, w=74\",\"Add (2,3)=79 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,74],[0,3,5],[1,2,6],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=6,(0,1)=63,(0,2)=74,(2,3)=79]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=74\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,74],[0,3,5],[1,2,6],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=6,(0,1)=63,(0,2)=74,(2,3)=79]\",\"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)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[1,2,47],[1,5,45],[1,6,17],[2,3,61],[2,6,8],[3,4,3],[3,5,88],[4,5,85],[4,6,23],[5,6,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,47],[1,5,45],[1,6,17],[2,3,61],[2,6,8],[3,4,3],[3,5,88],[4,5,85],[4,6,23],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,47],[1,5,45],[1,6,17],[2,3,61],[2,6,8],[3,4,3],[3,5,88],[4,5,85],[4,6,23],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (5,6)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (4,6)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,47],[1,5,45],[1,6,17],[2,3,61],[2,6,8],[3,4,3],[3,5,88],[4,5,85],[4,6,23],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (5,6)=3, w=6\",\"Add (2,6)=8, w=14\",\"Add (1,6)=17, w=31\",\"Add (4,6)=23, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,47],[1,5,45],[1,6,17],[2,3,61],[2,6,8],[3,4,3],[3,5,88],[4,5,85],[4,6,23],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (5,6)=3 Succeeded, w=6\",\"Add (2,6)=8 Succeeded, w=14\",\"Add (1,6)=17 Succeeded, w=31\",\"Add (4,6)=23 Succeeded, w=54\",\"Add (1,5)=45 Failed, w=54\",\"Add (1,2)=47 Failed, w=54\",\"Add (2,3)=61 Failed, w=54\",\"Add (4,5)=85 Failed, w=54\",\"Add (3,5)=88 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,47],[1,5,45],[1,6,17],[2,3,61],[2,6,8],[3,4,3],[3,5,88],[4,5,85],[4,6,23],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(5,6)=3,(2,6)=8,(1,6)=17,(4,6)=23,(1,5)=45,(1,2)=47,(2,3)=61,(4,5)=85,(3,5)=88]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=6\",\"Find(2)=2, Find(6)=5, Add (2,6)=8 Succeeded, w=14\",\"Find(1)=1, Find(6)=5, Add (1,6)=17 Succeeded, w=31\",\"Find(4)=3, Find(6)=5, Add (4,6)=23 Succeeded, w=54\",\"Find(1)=3, Find(5)=3, Add (1,5)=45 Failed, w=54\",\"Find(1)=3, Find(2)=3, Add (1,2)=47 Failed, w=54\",\"Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=54\",\"Find(4)=3, Find(5)=3, Add (4,5)=85 Failed, w=54\",\"Find(3)=3, Find(5)=3, Add (3,5)=88 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,47],[1,5,45],[1,6,17],[2,3,61],[2,6,8],[3,4,3],[3,5,88],[4,5,85],[4,6,23],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(5,6)=3,(2,6)=8,(1,6)=17,(4,6)=23,(1,5)=45,(1,2)=47,(2,3)=61,(4,5)=85,(3,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 3, 5: 5, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 3, 5: 3, 6: 5}, Find(4)=3, Find(6)=5, Add (4,6)=23 Succeeded, w=54\",\"Parent: {0: 0, 1: 3, 2: 5, 3: 3, 4: 3, 5: 3, 6: 5}, Find(1)=3, Find(5)=3, Add (1,5)=45 Failed, w=54\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(1)=3, Find(2)=3, Add (1,2)=47 Failed, w=54\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=54\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(4)=3, Find(5)=3, Add (4,5)=85 Failed, w=54\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(3)=3, Find(5)=3, Add (3,5)=88 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,95],[0,4,36],[1,2,66],[2,4,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,4,36],[1,2,66],[2,4,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,4,36],[1,2,66],[2,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,4,36],[1,2,66],[2,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8, w=8\",\"Add (0,4)=36, w=44\",\"Add (1,2)=66, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,4,36],[1,2,66],[2,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8 Succeeded, w=8\",\"Add (0,4)=36 Succeeded, w=44\",\"Add (1,2)=66 Succeeded, w=110\",\"Add (0,2)=95 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,4,36],[1,2,66],[2,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(0,4)=36,(1,2)=66,(0,2)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=2, Add (0,4)=36 Succeeded, w=44\",\"Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=110\",\"Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,4,36],[1,2,66],[2,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(0,4)=36,(1,2)=66,(0,2)=95]\",\"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: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=36 Succeeded, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,6],[0,3,63],[1,2,80],[1,3,68],[2,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,63],[1,2,80],[1,3,68],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,63],[1,2,80],[1,3,68],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,63],[1,2,80],[1,3,68],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (2,3)=52, w=58\",\"Add (1,3)=68, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,63],[1,2,80],[1,3,68],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (2,3)=52 Succeeded, w=58\",\"Add (0,3)=63 Failed, w=58\",\"Add (1,3)=68 Succeeded, w=126\",\"Add (1,2)=80 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,63],[1,2,80],[1,3,68],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(2,3)=52,(0,3)=63,(1,3)=68,(1,2)=80]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(2)=0, Find(3)=3, Add (2,3)=52 Succeeded, w=58\",\"Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=58\",\"Find(1)=1, Find(3)=0, Add (1,3)=68 Succeeded, w=126\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,63],[1,2,80],[1,3,68],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(2,3)=52,(0,3)=63,(1,3)=68,(1,2)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=52 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=68 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,81],[0,2,99],[0,3,89],[0,4,91],[1,2,38],[1,5,89],[1,6,96],[2,3,70],[2,4,9],[3,4,79],[3,5,86],[3,6,40],[4,5,53],[4,6,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,99],[0,3,89],[0,4,91],[1,2,38],[1,5,89],[1,6,96],[2,3,70],[2,4,9],[3,4,79],[3,5,86],[3,6,40],[4,5,53],[4,6,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,99],[0,3,89],[0,4,91],[1,2,38],[1,5,89],[1,6,96],[2,3,70],[2,4,9],[3,4,79],[3,5,86],[3,6,40],[4,5,53],[4,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,99],[0,3,89],[0,4,91],[1,2,38],[1,5,89],[1,6,96],[2,3,70],[2,4,9],[3,4,79],[3,5,86],[3,6,40],[4,5,53],[4,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9, w=9\",\"Add (1,2)=38, w=47\",\"Add (3,6)=40, w=87\",\"Add (4,5)=53, w=140\",\"Add (2,3)=70, w=210\",\"Add (0,1)=81, w=291\"],\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,99],[0,3,89],[0,4,91],[1,2,38],[1,5,89],[1,6,96],[2,3,70],[2,4,9],[3,4,79],[3,5,86],[3,6,40],[4,5,53],[4,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9 Succeeded, w=9\",\"Add (1,2)=38 Succeeded, w=47\",\"Add (3,6)=40 Succeeded, w=87\",\"Add (4,5)=53 Succeeded, w=140\",\"Add (2,3)=70 Succeeded, w=210\",\"Add (3,4)=79 Failed, w=210\",\"Add (4,6)=80 Failed, w=210\",\"Add (0,1)=81 Succeeded, w=291\",\"Add (3,5)=86 Failed, w=291\",\"Add (0,3)=89 Failed, w=291\",\"Add (1,5)=89 Failed, w=291\",\"Add (0,4)=91 Failed, w=291\",\"Add (1,6)=96 Failed, w=291\",\"Add (0,2)=99 Failed, w=291\"],\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,99],[0,3,89],[0,4,91],[1,2,38],[1,5,89],[1,6,96],[2,3,70],[2,4,9],[3,4,79],[3,5,86],[3,6,40],[4,5,53],[4,6,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(1,2)=38,(3,6)=40,(4,5)=53,(2,3)=70,(3,4)=79,(4,6)=80,(0,1)=81,(3,5)=86,(0,3)=89,(1,5)=89,(0,4)=91,(1,6)=96,(0,2)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=47\",\"Find(3)=3, Find(6)=6, Add (3,6)=40 Succeeded, w=87\",\"Find(4)=2, Find(5)=5, Add (4,5)=53 Succeeded, w=140\",\"Find(2)=2, Find(3)=3, Add (2,3)=70 Succeeded, w=210\",\"Find(3)=2, Find(4)=2, Add (3,4)=79 Failed, w=210\",\"Find(4)=2, Find(6)=2, Add (4,6)=80 Failed, w=210\",\"Find(0)=0, Find(1)=2, Add (0,1)=81 Succeeded, w=291\",\"Find(3)=2, Find(5)=2, Add (3,5)=86 Failed, w=291\",\"Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=291\",\"Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=291\",\"Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=291\",\"Find(1)=2, Find(6)=2, Add (1,6)=96 Failed, w=291\",\"Find(0)=2, Find(2)=2, Add (0,2)=99 Failed, w=291\"],\"Answer\":291}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,99],[0,3,89],[0,4,91],[1,2,38],[1,5,89],[1,6,96],[2,3,70],[2,4,9],[3,4,79],[3,5,86],[3,6,40],[4,5,53],[4,6,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(1,2)=38,(3,6)=40,(4,5)=53,(2,3)=70,(3,4)=79,(4,6)=80,(0,1)=81,(3,5)=86,(0,3)=89,(1,5)=89,(0,4)=91,(1,6)=96,(0,2)=99]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=47\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=40 Succeeded, w=87\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 3}, Find(4)=2, Find(5)=5, Add (4,5)=53 Succeeded, w=140\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=70 Succeeded, w=210\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(3)=2, Find(4)=2, Add (3,4)=79 Failed, w=210\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=80 Failed, w=210\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(1)=2, Add (0,1)=81 Succeeded, w=291\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=86 Failed, w=291\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=291\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=291\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=291\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=96 Failed, w=291\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=99 Failed, w=291\"],\"Answer\":291}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,18],[0,4,95],[1,2,54],[1,3,33],[2,3,91],[2,4,12],[3,4,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,18],[0,4,95],[1,2,54],[1,3,33],[2,3,91],[2,4,12],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,18],[0,4,95],[1,2,54],[1,3,33],[2,3,91],[2,4,12],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,18],[0,4,95],[1,2,54],[1,3,33],[2,3,91],[2,4,12],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=12, w=12\",\"Add (0,2)=18, w=30\",\"Add (3,4)=32, w=62\",\"Add (1,3)=33, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,18],[0,4,95],[1,2,54],[1,3,33],[2,3,91],[2,4,12],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=12 Succeeded, w=12\",\"Add (0,2)=18 Succeeded, w=30\",\"Add (3,4)=32 Succeeded, w=62\",\"Add (1,3)=33 Succeeded, w=95\",\"Add (1,2)=54 Failed, w=95\",\"Add (2,3)=91 Failed, w=95\",\"Add (0,4)=95 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,18],[0,4,95],[1,2,54],[1,3,33],[2,3,91],[2,4,12],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=12,(0,2)=18,(3,4)=32,(1,3)=33,(1,2)=54,(2,3)=91,(0,4)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=30\",\"Find(3)=3, Find(4)=2, Add (3,4)=32 Succeeded, w=62\",\"Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=95\",\"Find(1)=2, Find(2)=2, Add (1,2)=54 Failed, w=95\",\"Find(2)=2, Find(3)=2, Add (2,3)=91 Failed, w=95\",\"Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,18],[0,4,95],[1,2,54],[1,3,33],[2,3,91],[2,4,12],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=12,(0,2)=18,(3,4)=32,(1,3)=33,(1,2)=54,(2,3)=91,(0,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=30\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=32 Succeeded, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=54 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=91 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,97],[0,2,55],[1,3,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,55],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,55],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,55],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=55, w=55\",\"Add (1,3)=90, w=145\",\"Add (0,1)=97, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,55],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=55 Succeeded, w=55\",\"Add (1,3)=90 Succeeded, w=145\",\"Add (0,1)=97 Succeeded, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,55],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=55,(1,3)=90,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=55\",\"Find(1)=1, Find(3)=3, Add (1,3)=90 Succeeded, w=145\",\"Find(0)=0, Find(1)=1, Add (0,1)=97 Succeeded, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,55],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=55,(1,3)=90,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=90 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=97 Succeeded, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,17],[0,3,77],[1,3,41],[1,4,95],[3,5,3],[4,5,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,3,77],[1,3,41],[1,4,95],[3,5,3],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,3,77],[1,3,41],[1,4,95],[3,5,3],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,3,77],[1,3,41],[1,4,95],[3,5,3],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (0,1)=17, w=20\",\"Add (1,3)=41, w=61\",\"Add (4,5)=57, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,3,77],[1,3,41],[1,4,95],[3,5,3],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (0,1)=17 Succeeded, w=20\",\"Add (1,3)=41 Succeeded, w=61\",\"Add (4,5)=57 Succeeded, w=118\",\"Add (0,3)=77 Failed, w=118\",\"Add (1,4)=95 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,3,77],[1,3,41],[1,4,95],[3,5,3],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(0,1)=17,(1,3)=41,(4,5)=57,(0,3)=77,(1,4)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=20\",\"Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=61\",\"Find(4)=4, Find(5)=0, Add (4,5)=57 Succeeded, w=118\",\"Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=118\",\"Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,3,77],[1,3,41],[1,4,95],[3,5,3],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(0,1)=17,(1,3)=41,(4,5)=57,(0,3)=77,(1,4)=95]\",\"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: 0, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3}, Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=57 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,67],[0,2,84],[0,3,44],[0,4,73],[0,5,87],[1,2,65],[1,3,52],[1,4,27],[2,3,1],[2,4,33],[2,5,75],[3,5,36],[4,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,84],[0,3,44],[0,4,73],[0,5,87],[1,2,65],[1,3,52],[1,4,27],[2,3,1],[2,4,33],[2,5,75],[3,5,36],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,84],[0,3,44],[0,4,73],[0,5,87],[1,2,65],[1,3,52],[1,4,27],[2,3,1],[2,4,33],[2,5,75],[3,5,36],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,84],[0,3,44],[0,4,73],[0,5,87],[1,2,65],[1,3,52],[1,4,27],[2,3,1],[2,4,33],[2,5,75],[3,5,36],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (4,5)=5, w=6\",\"Add (1,4)=27, w=33\",\"Add (2,4)=33, w=66\",\"Add (0,3)=44, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,84],[0,3,44],[0,4,73],[0,5,87],[1,2,65],[1,3,52],[1,4,27],[2,3,1],[2,4,33],[2,5,75],[3,5,36],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (4,5)=5 Succeeded, w=6\",\"Add (1,4)=27 Succeeded, w=33\",\"Add (2,4)=33 Succeeded, w=66\",\"Add (3,5)=36 Failed, w=66\",\"Add (0,3)=44 Succeeded, w=110\",\"Add (1,3)=52 Failed, w=110\",\"Add (1,2)=65 Failed, w=110\",\"Add (0,1)=67 Failed, w=110\",\"Add (0,4)=73 Failed, w=110\",\"Add (2,5)=75 Failed, w=110\",\"Add (0,2)=84 Failed, w=110\",\"Add (0,5)=87 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,84],[0,3,44],[0,4,73],[0,5,87],[1,2,65],[1,3,52],[1,4,27],[2,3,1],[2,4,33],[2,5,75],[3,5,36],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(4,5)=5,(1,4)=27,(2,4)=33,(3,5)=36,(0,3)=44,(1,3)=52,(1,2)=65,(0,1)=67,(0,4)=73,(2,5)=75,(0,2)=84,(0,5)=87]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=33\",\"Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=66\",\"Find(3)=2, Find(5)=2, Add (3,5)=36 Failed, w=66\",\"Find(0)=0, Find(3)=2, Add (0,3)=44 Succeeded, w=110\",\"Find(1)=2, Find(3)=2, Add (1,3)=52 Failed, w=110\",\"Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=110\",\"Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=110\",\"Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=110\",\"Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=110\",\"Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=110\",\"Find(0)=2, Find(5)=2, Add (0,5)=87 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,84],[0,3,44],[0,4,73],[0,5,87],[1,2,65],[1,3,52],[1,4,27],[2,3,1],[2,4,33],[2,5,75],[3,5,36],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(4,5)=5,(1,4)=27,(2,4)=33,(3,5)=36,(0,3)=44,(1,3)=52,(1,2)=65,(0,1)=67,(0,4)=73,(2,5)=75,(0,2)=84,(0,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=33\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 2, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=66\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=36 Failed, w=66\",\"Parent: {0: 2, 1: 4, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=44 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=52 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=87 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,73],[0,2,31],[0,3,32],[0,4,7],[1,2,9],[1,3,86],[1,4,22],[2,3,18],[2,4,65],[3,4,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,31],[0,3,32],[0,4,7],[1,2,9],[1,3,86],[1,4,22],[2,3,18],[2,4,65],[3,4,80]]}",
"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\":[[0,1,73],[0,2,31],[0,3,32],[0,4,7],[1,2,9],[1,3,86],[1,4,22],[2,3,18],[2,4,65],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (2,3)\",\"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\":[[0,1,73],[0,2,31],[0,3,32],[0,4,7],[1,2,9],[1,3,86],[1,4,22],[2,3,18],[2,4,65],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (1,2)=9, w=16\",\"Add (2,3)=18, w=34\",\"Add (1,4)=22, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,31],[0,3,32],[0,4,7],[1,2,9],[1,3,86],[1,4,22],[2,3,18],[2,4,65],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (1,2)=9 Succeeded, w=16\",\"Add (2,3)=18 Succeeded, w=34\",\"Add (1,4)=22 Succeeded, w=56\",\"Add (0,2)=31 Failed, w=56\",\"Add (0,3)=32 Failed, w=56\",\"Add (2,4)=65 Failed, w=56\",\"Add (0,1)=73 Failed, w=56\",\"Add (3,4)=80 Failed, w=56\",\"Add (1,3)=86 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\":[[0,1,73],[0,2,31],[0,3,32],[0,4,7],[1,2,9],[1,3,86],[1,4,22],[2,3,18],[2,4,65],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(1,2)=9,(2,3)=18,(1,4)=22,(0,2)=31,(0,3)=32,(2,4)=65,(0,1)=73,(3,4)=80,(1,3)=86]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=16\",\"Find(2)=1, Find(3)=3, Add (2,3)=18 Succeeded, w=34\",\"Find(1)=1, Find(4)=0, Add (1,4)=22 Succeeded, w=56\",\"Find(0)=1, Find(2)=1, Add (0,2)=31 Failed, w=56\",\"Find(0)=1, Find(3)=1, Add (0,3)=32 Failed, w=56\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=56\",\"Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=56\",\"Find(1)=1, Find(3)=1, Add (1,3)=86 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\":[[0,1,73],[0,2,31],[0,3,32],[0,4,7],[1,2,9],[1,3,86],[1,4,22],[2,3,18],[2,4,65],[3,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(1,2)=9,(2,3)=18,(1,4)=22,(0,2)=31,(0,3)=32,(2,4)=65,(0,1)=73,(3,4)=80,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=3, Add (2,3)=18 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=22 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(2)=1, Add (0,2)=31 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(3)=1, Add (0,3)=32 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=86 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.