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
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| messages_l5
listlengths 2
2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,79],[0,2,73],[0,3,30],[1,2,96],[1,3,28],[2,3,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,73],[0,3,30],[1,2,96],[1,3,28],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,73],[0,3,30],[1,2,96],[1,3,28],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,73],[0,3,30],[1,2,96],[1,3,28],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (1,3)=28, w=36\",\"Add (0,3)=30, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,73],[0,3,30],[1,2,96],[1,3,28],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (1,3)=28 Succeeded, w=36\",\"Add (0,3)=30 Succeeded, w=66\",\"Add (0,2)=73 Failed, w=66\",\"Add (0,1)=79 Failed, w=66\",\"Add (1,2)=96 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,73],[0,3,30],[1,2,96],[1,3,28],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,3)=28,(0,3)=30,(0,2)=73,(0,1)=79,(1,2)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=36\",\"Find(0)=0, Find(3)=2, Add (0,3)=30 Succeeded, w=66\",\"Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=66\",\"Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=66\",\"Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,2,73],[0,3,30],[1,2,96],[1,3,28],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,3)=28,(0,3)=30,(0,2)=73,(0,1)=79,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=30 Succeeded, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,15],[0,2,71],[0,3,57],[0,4,88],[0,5,88],[0,6,74],[1,2,17],[1,3,91],[1,4,52],[1,5,87],[1,6,48],[2,4,27],[2,5,79],[2,6,40],[3,4,94],[3,5,52],[3,6,20],[4,5,73],[4,6,27],[5,6,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,71],[0,3,57],[0,4,88],[0,5,88],[0,6,74],[1,2,17],[1,3,91],[1,4,52],[1,5,87],[1,6,48],[2,4,27],[2,5,79],[2,6,40],[3,4,94],[3,5,52],[3,6,20],[4,5,73],[4,6,27],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,71],[0,3,57],[0,4,88],[0,5,88],[0,6,74],[1,2,17],[1,3,91],[1,4,52],[1,5,87],[1,6,48],[2,4,27],[2,5,79],[2,6,40],[3,4,94],[3,5,52],[3,6,20],[4,5,73],[4,6,27],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (4,6)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,71],[0,3,57],[0,4,88],[0,5,88],[0,6,74],[1,2,17],[1,3,91],[1,4,52],[1,5,87],[1,6,48],[2,4,27],[2,5,79],[2,6,40],[3,4,94],[3,5,52],[3,6,20],[4,5,73],[4,6,27],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=8, w=8\",\"Add (0,1)=15, w=23\",\"Add (1,2)=17, w=40\",\"Add (3,6)=20, w=60\",\"Add (2,4)=27, w=87\",\"Add (4,6)=27, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,71],[0,3,57],[0,4,88],[0,5,88],[0,6,74],[1,2,17],[1,3,91],[1,4,52],[1,5,87],[1,6,48],[2,4,27],[2,5,79],[2,6,40],[3,4,94],[3,5,52],[3,6,20],[4,5,73],[4,6,27],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=8 Succeeded, w=8\",\"Add (0,1)=15 Succeeded, w=23\",\"Add (1,2)=17 Succeeded, w=40\",\"Add (3,6)=20 Succeeded, w=60\",\"Add (2,4)=27 Succeeded, w=87\",\"Add (4,6)=27 Succeeded, w=114\",\"Add (2,6)=40 Failed, w=114\",\"Add (1,6)=48 Failed, w=114\",\"Add (1,4)=52 Failed, w=114\",\"Add (3,5)=52 Failed, w=114\",\"Add (0,3)=57 Failed, w=114\",\"Add (0,2)=71 Failed, w=114\",\"Add (4,5)=73 Failed, w=114\",\"Add (0,6)=74 Failed, w=114\",\"Add (2,5)=79 Failed, w=114\",\"Add (1,5)=87 Failed, w=114\",\"Add (0,4)=88 Failed, w=114\",\"Add (0,5)=88 Failed, w=114\",\"Add (1,3)=91 Failed, w=114\",\"Add (3,4)=94 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,71],[0,3,57],[0,4,88],[0,5,88],[0,6,74],[1,2,17],[1,3,91],[1,4,52],[1,5,87],[1,6,48],[2,4,27],[2,5,79],[2,6,40],[3,4,94],[3,5,52],[3,6,20],[4,5,73],[4,6,27],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=8,(0,1)=15,(1,2)=17,(3,6)=20,(2,4)=27,(4,6)=27,(2,6)=40,(1,6)=48,(1,4)=52,(3,5)=52,(0,3)=57,(0,2)=71,(4,5)=73,(0,6)=74,(2,5)=79,(1,5)=87,(0,4)=88,(0,5)=88,(1,3)=91,(3,4)=94]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=23\",\"Find(1)=0, Find(2)=2, Add (1,2)=17 Succeeded, w=40\",\"Find(3)=3, Find(6)=5, Add (3,6)=20 Succeeded, w=60\",\"Find(2)=0, Find(4)=4, Add (2,4)=27 Succeeded, w=87\",\"Find(4)=0, Find(6)=5, Add (4,6)=27 Succeeded, w=114\",\"Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=114\",\"Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=114\",\"Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=114\",\"Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=114\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=114\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=114\",\"Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=114\",\"Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=114\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=114\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=114\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=114\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=114\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,71],[0,3,57],[0,4,88],[0,5,88],[0,6,74],[1,2,17],[1,3,91],[1,4,52],[1,5,87],[1,6,48],[2,4,27],[2,5,79],[2,6,40],[3,4,94],[3,5,52],[3,6,20],[4,5,73],[4,6,27],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=8,(0,1)=15,(1,2)=17,(3,6)=20,(2,4)=27,(4,6)=27,(2,6)=40,(1,6)=48,(1,4)=52,(3,5)=52,(0,3)=57,(0,2)=71,(4,5)=73,(0,6)=74,(2,5)=79,(1,5)=87,(0,4)=88,(0,5)=88,(1,3)=91,(3,4)=94]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=0, Find(2)=2, Add (1,2)=17 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 4, 5: 5, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=20 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 5, 6: 5}, Find(2)=0, Find(4)=4, Add (2,4)=27 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5}, Find(4)=0, Find(6)=5, Add (4,6)=27 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=114\",\"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=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,84],[0,2,12],[0,3,56],[1,3,2],[2,4,89],[3,4,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,56],[1,3,2],[2,4,89],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,56],[1,3,2],[2,4,89],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,56],[1,3,2],[2,4,89],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,2)=12, w=14\",\"Add (3,4)=12, w=26\",\"Add (0,3)=56, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,56],[1,3,2],[2,4,89],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,2)=12 Succeeded, w=14\",\"Add (3,4)=12 Succeeded, w=26\",\"Add (0,3)=56 Succeeded, w=82\",\"Add (0,1)=84 Failed, w=82\",\"Add (2,4)=89 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,56],[1,3,2],[2,4,89],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,2)=12,(3,4)=12,(0,3)=56,(0,1)=84,(2,4)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=14\",\"Find(3)=1, Find(4)=4, Add (3,4)=12 Succeeded, w=26\",\"Find(0)=0, Find(3)=1, Add (0,3)=56 Succeeded, w=82\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=82\",\"Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,12],[0,3,56],[1,3,2],[2,4,89],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,2)=12,(3,4)=12,(0,3)=56,(0,1)=84,(2,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=12 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=56 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,3,52],[0,4,10],[1,2,48],[1,3,85],[1,4,89],[1,5,91],[1,6,25],[1,7,41],[2,3,87],[2,4,79],[2,5,9],[2,6,83],[2,7,62],[3,5,67],[3,6,92],[3,7,38],[4,7,71],[5,6,88],[5,7,17],[6,7,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,52],[0,4,10],[1,2,48],[1,3,85],[1,4,89],[1,5,91],[1,6,25],[1,7,41],[2,3,87],[2,4,79],[2,5,9],[2,6,83],[2,7,62],[3,5,67],[3,6,92],[3,7,38],[4,7,71],[5,6,88],[5,7,17],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,52],[0,4,10],[1,2,48],[1,3,85],[1,4,89],[1,5,91],[1,6,25],[1,7,41],[2,3,87],[2,4,79],[2,5,9],[2,6,83],[2,7,62],[3,5,67],[3,6,92],[3,7,38],[4,7,71],[5,6,88],[5,7,17],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,4)\",\"Add (5,7)\",\"Add (1,6)\",\"Add (3,7)\",\"Add (1,7)\",\"Add (0,3)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,52],[0,4,10],[1,2,48],[1,3,85],[1,4,89],[1,5,91],[1,6,25],[1,7,41],[2,3,87],[2,4,79],[2,5,9],[2,6,83],[2,7,62],[3,5,67],[3,6,92],[3,7,38],[4,7,71],[5,6,88],[5,7,17],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=9, w=9\",\"Add (0,4)=10, w=19\",\"Add (5,7)=17, w=36\",\"Add (1,6)=25, w=61\",\"Add (3,7)=38, w=99\",\"Add (1,7)=41, w=140\",\"Add (0,3)=52, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,52],[0,4,10],[1,2,48],[1,3,85],[1,4,89],[1,5,91],[1,6,25],[1,7,41],[2,3,87],[2,4,79],[2,5,9],[2,6,83],[2,7,62],[3,5,67],[3,6,92],[3,7,38],[4,7,71],[5,6,88],[5,7,17],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=9 Succeeded, w=9\",\"Add (0,4)=10 Succeeded, w=19\",\"Add (5,7)=17 Succeeded, w=36\",\"Add (1,6)=25 Succeeded, w=61\",\"Add (3,7)=38 Succeeded, w=99\",\"Add (1,7)=41 Succeeded, w=140\",\"Add (1,2)=48 Failed, w=140\",\"Add (0,3)=52 Succeeded, w=192\",\"Add (2,7)=62 Failed, w=192\",\"Add (0,1)=67 Failed, w=192\",\"Add (3,5)=67 Failed, w=192\",\"Add (4,7)=71 Failed, w=192\",\"Add (2,4)=79 Failed, w=192\",\"Add (2,6)=83 Failed, w=192\",\"Add (6,7)=83 Failed, w=192\",\"Add (1,3)=85 Failed, w=192\",\"Add (2,3)=87 Failed, w=192\",\"Add (5,6)=88 Failed, w=192\",\"Add (1,4)=89 Failed, w=192\",\"Add (1,5)=91 Failed, w=192\",\"Add (3,6)=92 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,52],[0,4,10],[1,2,48],[1,3,85],[1,4,89],[1,5,91],[1,6,25],[1,7,41],[2,3,87],[2,4,79],[2,5,9],[2,6,83],[2,7,62],[3,5,67],[3,6,92],[3,7,38],[4,7,71],[5,6,88],[5,7,17],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=9,(0,4)=10,(5,7)=17,(1,6)=25,(3,7)=38,(1,7)=41,(1,2)=48,(0,3)=52,(2,7)=62,(0,1)=67,(3,5)=67,(4,7)=71,(2,4)=79,(2,6)=83,(6,7)=83,(1,3)=85,(2,3)=87,(5,6)=88,(1,4)=89,(1,5)=91,(3,6)=92]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=19\",\"Find(5)=2, Find(7)=7, Add (5,7)=17 Succeeded, w=36\",\"Find(1)=1, Find(6)=6, Add (1,6)=25 Succeeded, w=61\",\"Find(3)=3, Find(7)=2, Add (3,7)=38 Succeeded, w=99\",\"Find(1)=1, Find(7)=2, Add (1,7)=41 Succeeded, w=140\",\"Find(1)=1, Find(2)=1, Add (1,2)=48 Failed, w=140\",\"Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=192\",\"Find(2)=1, Find(7)=1, Add (2,7)=62 Failed, w=192\",\"Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=192\",\"Find(3)=1, Find(5)=1, Add (3,5)=67 Failed, w=192\",\"Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=192\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=192\",\"Find(2)=1, Find(6)=1, Add (2,6)=83 Failed, w=192\",\"Find(6)=1, Find(7)=1, Add (6,7)=83 Failed, w=192\",\"Find(1)=1, Find(3)=1, Add (1,3)=85 Failed, w=192\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=192\",\"Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=192\",\"Find(1)=1, Find(4)=1, Add (1,4)=89 Failed, w=192\",\"Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=192\",\"Find(3)=1, Find(6)=1, Add (3,6)=92 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,52],[0,4,10],[1,2,48],[1,3,85],[1,4,89],[1,5,91],[1,6,25],[1,7,41],[2,3,87],[2,4,79],[2,5,9],[2,6,83],[2,7,62],[3,5,67],[3,6,92],[3,7,38],[4,7,71],[5,6,88],[5,7,17],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=9,(0,4)=10,(5,7)=17,(1,6)=25,(3,7)=38,(1,7)=41,(1,2)=48,(0,3)=52,(2,7)=62,(0,1)=67,(3,5)=67,(4,7)=71,(2,4)=79,(2,6)=83,(6,7)=83,(1,3)=85,(2,3)=87,(5,6)=88,(1,4)=89,(1,5)=91,(3,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6, 7: 2}, Find(5)=2, Find(7)=7, Add (5,7)=17 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(6)=6, Add (1,6)=25 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 1, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=38 Succeeded, w=99\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 0, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=41 Succeeded, w=140\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 0, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(2)=1, Add (1,2)=48 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 2, 6: 1, 7: 2}, Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 2, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=62 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 2, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=67 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=192\",\"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)=83 Failed, w=192\",\"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)=83 Failed, w=192\",\"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)=85 Failed, w=192\",\"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)=87 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=192\",\"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)=89 Failed, w=192\",\"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)=91 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=92 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,98],[1,2,23],[1,3,53],[2,3,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,23],[1,3,53],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,23],[1,3,53],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,23],[1,3,53],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23, w=23\",\"Add (1,3)=53, w=76\",\"Add (0,1)=98, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,23],[1,3,53],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23 Succeeded, w=23\",\"Add (1,3)=53 Succeeded, w=76\",\"Add (2,3)=65 Failed, w=76\",\"Add (0,1)=98 Succeeded, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,23],[1,3,53],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(1,3)=53,(2,3)=65,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=76\",\"Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=76\",\"Find(0)=0, Find(1)=1, Add (0,1)=98 Succeeded, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[1,2,23],[1,3,53],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(1,3)=53,(2,3)=65,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=76\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=98 Succeeded, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,53],[0,2,3],[1,2,3],[1,3,43],[2,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,3],[1,2,3],[1,3,43],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,3],[1,2,3],[1,3,43],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,3],[1,2,3],[1,3,43],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (1,2)=3, w=6\",\"Add (1,3)=43, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,3],[1,2,3],[1,3,43],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (1,2)=3 Succeeded, w=6\",\"Add (1,3)=43 Succeeded, w=49\",\"Add (0,1)=53 Failed, w=49\",\"Add (2,3)=72 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,3],[1,2,3],[1,3,43],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=3,(1,3)=43,(0,1)=53,(2,3)=72]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=0, Add (1,2)=3 Succeeded, w=6\",\"Find(1)=0, Find(3)=3, Add (1,3)=43 Succeeded, w=49\",\"Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=49\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,3],[1,2,3],[1,3,43],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=3,(1,3)=43,(0,1)=53,(2,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=43 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,52],[0,3,58],[1,2,62],[1,3,94],[2,3,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,58],[1,2,62],[1,3,94],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,58],[1,2,62],[1,3,94],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,58],[1,2,62],[1,3,94],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=52, w=52\",\"Add (0,3)=58, w=110\",\"Add (1,2)=62, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,58],[1,2,62],[1,3,94],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=52 Succeeded, w=52\",\"Add (0,3)=58 Succeeded, w=110\",\"Add (1,2)=62 Succeeded, w=172\",\"Add (2,3)=91 Failed, w=172\",\"Add (1,3)=94 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,58],[1,2,62],[1,3,94],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=52,(0,3)=58,(1,2)=62,(2,3)=91,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=52\",\"Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=110\",\"Find(1)=0, Find(2)=2, Add (1,2)=62 Succeeded, w=172\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=172\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,3,58],[1,2,62],[1,3,94],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=52,(0,3)=58,(1,2)=62,(2,3)=91,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=52 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=62 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,39],[0,4,70],[0,6,35],[1,2,90],[1,3,64],[1,4,14],[1,5,16],[1,7,58],[2,4,40],[2,5,4],[3,4,68],[3,5,94],[3,6,29],[4,5,31],[4,6,66],[5,6,69],[5,7,69],[6,7,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,39],[0,4,70],[0,6,35],[1,2,90],[1,3,64],[1,4,14],[1,5,16],[1,7,58],[2,4,40],[2,5,4],[3,4,68],[3,5,94],[3,6,29],[4,5,31],[4,6,66],[5,6,69],[5,7,69],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,39],[0,4,70],[0,6,35],[1,2,90],[1,3,64],[1,4,14],[1,5,16],[1,7,58],[2,4,40],[2,5,4],[3,4,68],[3,5,94],[3,6,29],[4,5,31],[4,6,66],[5,6,69],[5,7,69],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (1,7)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,39],[0,4,70],[0,6,35],[1,2,90],[1,3,64],[1,4,14],[1,5,16],[1,7,58],[2,4,40],[2,5,4],[3,4,68],[3,5,94],[3,6,29],[4,5,31],[4,6,66],[5,6,69],[5,7,69],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (1,4)=14, w=18\",\"Add (1,5)=16, w=34\",\"Add (3,6)=29, w=63\",\"Add (0,6)=35, w=98\",\"Add (0,2)=39, w=137\",\"Add (1,7)=58, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,39],[0,4,70],[0,6,35],[1,2,90],[1,3,64],[1,4,14],[1,5,16],[1,7,58],[2,4,40],[2,5,4],[3,4,68],[3,5,94],[3,6,29],[4,5,31],[4,6,66],[5,6,69],[5,7,69],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (1,4)=14 Succeeded, w=18\",\"Add (1,5)=16 Succeeded, w=34\",\"Add (3,6)=29 Succeeded, w=63\",\"Add (4,5)=31 Failed, w=63\",\"Add (0,6)=35 Succeeded, w=98\",\"Add (0,2)=39 Succeeded, w=137\",\"Add (2,4)=40 Failed, w=137\",\"Add (1,7)=58 Succeeded, w=195\",\"Add (1,3)=64 Failed, w=195\",\"Add (4,6)=66 Failed, w=195\",\"Add (3,4)=68 Failed, w=195\",\"Add (5,6)=69 Failed, w=195\",\"Add (5,7)=69 Failed, w=195\",\"Add (0,4)=70 Failed, w=195\",\"Add (6,7)=81 Failed, w=195\",\"Add (1,2)=90 Failed, w=195\",\"Add (3,5)=94 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,39],[0,4,70],[0,6,35],[1,2,90],[1,3,64],[1,4,14],[1,5,16],[1,7,58],[2,4,40],[2,5,4],[3,4,68],[3,5,94],[3,6,29],[4,5,31],[4,6,66],[5,6,69],[5,7,69],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(1,4)=14,(1,5)=16,(3,6)=29,(4,5)=31,(0,6)=35,(0,2)=39,(2,4)=40,(1,7)=58,(1,3)=64,(4,6)=66,(3,4)=68,(5,6)=69,(5,7)=69,(0,4)=70,(6,7)=81,(1,2)=90,(3,5)=94]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=18\",\"Find(1)=1, Find(5)=2, Add (1,5)=16 Succeeded, w=34\",\"Find(3)=3, Find(6)=6, Add (3,6)=29 Succeeded, w=63\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=63\",\"Find(0)=0, Find(6)=3, Add (0,6)=35 Succeeded, w=98\",\"Find(0)=3, Find(2)=1, Add (0,2)=39 Succeeded, w=137\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=137\",\"Find(1)=1, Find(7)=7, Add (1,7)=58 Succeeded, w=195\",\"Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=195\",\"Find(4)=1, Find(6)=1, Add (4,6)=66 Failed, w=195\",\"Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=195\",\"Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=195\",\"Find(5)=1, Find(7)=1, Add (5,7)=69 Failed, w=195\",\"Find(0)=1, Find(4)=1, Add (0,4)=70 Failed, w=195\",\"Find(6)=1, Find(7)=1, Add (6,7)=81 Failed, w=195\",\"Find(1)=1, Find(2)=1, Add (1,2)=90 Failed, w=195\",\"Find(3)=1, Find(5)=1, Add (3,5)=94 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,39],[0,4,70],[0,6,35],[1,2,90],[1,3,64],[1,4,14],[1,5,16],[1,7,58],[2,4,40],[2,5,4],[3,4,68],[3,5,94],[3,6,29],[4,5,31],[4,6,66],[5,6,69],[5,7,69],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(1,4)=14,(1,5)=16,(3,6)=29,(4,5)=31,(0,6)=35,(0,2)=39,(2,4)=40,(1,7)=58,(1,3)=64,(4,6)=66,(3,4)=68,(5,6)=69,(5,7)=69,(0,4)=70,(6,7)=81,(1,2)=90,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(5)=2, Add (1,5)=16 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=29 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3, 7: 7}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=63\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3, 7: 7}, Find(0)=0, Find(6)=3, Add (0,6)=35 Succeeded, w=98\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 7}, Find(0)=3, Find(2)=1, Add (0,2)=39 Succeeded, w=137\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 7}, Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=137\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=58 Succeeded, w=195\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=195\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=66 Failed, w=195\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=195\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=195\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=69 Failed, w=195\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=70 Failed, w=195\",\"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)=81 Failed, w=195\",\"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)=90 Failed, w=195\",\"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)=94 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,69],[0,2,14],[0,3,2],[0,6,6],[0,7,24],[1,2,37],[1,3,3],[1,5,67],[1,7,28],[2,3,24],[2,4,80],[2,5,85],[2,6,30],[2,7,62],[3,4,14],[3,7,99],[4,5,57],[4,6,28],[5,6,64],[5,7,8],[6,7,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,14],[0,3,2],[0,6,6],[0,7,24],[1,2,37],[1,3,3],[1,5,67],[1,7,28],[2,3,24],[2,4,80],[2,5,85],[2,6,30],[2,7,62],[3,4,14],[3,7,99],[4,5,57],[4,6,28],[5,6,64],[5,7,8],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,14],[0,3,2],[0,6,6],[0,7,24],[1,2,37],[1,3,3],[1,5,67],[1,7,28],[2,3,24],[2,4,80],[2,5,85],[2,6,30],[2,7,62],[3,4,14],[3,7,99],[4,5,57],[4,6,28],[5,6,64],[5,7,8],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (5,7)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,7)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,14],[0,3,2],[0,6,6],[0,7,24],[1,2,37],[1,3,3],[1,5,67],[1,7,28],[2,3,24],[2,4,80],[2,5,85],[2,6,30],[2,7,62],[3,4,14],[3,7,99],[4,5,57],[4,6,28],[5,6,64],[5,7,8],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,3)=3, w=5\",\"Add (0,6)=6, w=11\",\"Add (5,7)=8, w=19\",\"Add (0,2)=14, w=33\",\"Add (3,4)=14, w=47\",\"Add (0,7)=24, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,14],[0,3,2],[0,6,6],[0,7,24],[1,2,37],[1,3,3],[1,5,67],[1,7,28],[2,3,24],[2,4,80],[2,5,85],[2,6,30],[2,7,62],[3,4,14],[3,7,99],[4,5,57],[4,6,28],[5,6,64],[5,7,8],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,3)=3 Succeeded, w=5\",\"Add (0,6)=6 Succeeded, w=11\",\"Add (5,7)=8 Succeeded, w=19\",\"Add (0,2)=14 Succeeded, w=33\",\"Add (3,4)=14 Succeeded, w=47\",\"Add (0,7)=24 Succeeded, w=71\",\"Add (2,3)=24 Failed, w=71\",\"Add (1,7)=28 Failed, w=71\",\"Add (4,6)=28 Failed, w=71\",\"Add (2,6)=30 Failed, w=71\",\"Add (1,2)=37 Failed, w=71\",\"Add (6,7)=47 Failed, w=71\",\"Add (4,5)=57 Failed, w=71\",\"Add (2,7)=62 Failed, w=71\",\"Add (5,6)=64 Failed, w=71\",\"Add (1,5)=67 Failed, w=71\",\"Add (0,1)=69 Failed, w=71\",\"Add (2,4)=80 Failed, w=71\",\"Add (2,5)=85 Failed, w=71\",\"Add (3,7)=99 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,14],[0,3,2],[0,6,6],[0,7,24],[1,2,37],[1,3,3],[1,5,67],[1,7,28],[2,3,24],[2,4,80],[2,5,85],[2,6,30],[2,7,62],[3,4,14],[3,7,99],[4,5,57],[4,6,28],[5,6,64],[5,7,8],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=3,(0,6)=6,(5,7)=8,(0,2)=14,(3,4)=14,(0,7)=24,(2,3)=24,(1,7)=28,(4,6)=28,(2,6)=30,(1,2)=37,(6,7)=47,(4,5)=57,(2,7)=62,(5,6)=64,(1,5)=67,(0,1)=69,(2,4)=80,(2,5)=85,(3,7)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=0, Add (1,3)=3 Succeeded, w=5\",\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=11\",\"Find(5)=5, Find(7)=7, Add (5,7)=8 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=33\",\"Find(3)=0, Find(4)=4, Add (3,4)=14 Succeeded, w=47\",\"Find(0)=0, Find(7)=5, Add (0,7)=24 Succeeded, w=71\",\"Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=71\",\"Find(1)=0, Find(7)=0, Add (1,7)=28 Failed, w=71\",\"Find(4)=0, Find(6)=0, Add (4,6)=28 Failed, w=71\",\"Find(2)=0, Find(6)=0, Add (2,6)=30 Failed, w=71\",\"Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=71\",\"Find(6)=0, Find(7)=0, Add (6,7)=47 Failed, w=71\",\"Find(4)=0, Find(5)=0, Add (4,5)=57 Failed, w=71\",\"Find(2)=0, Find(7)=0, Add (2,7)=62 Failed, w=71\",\"Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=71\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=71\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=71\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=71\",\"Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=71\",\"Find(3)=0, Find(7)=0, Add (3,7)=99 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,14],[0,3,2],[0,6,6],[0,7,24],[1,2,37],[1,3,3],[1,5,67],[1,7,28],[2,3,24],[2,4,80],[2,5,85],[2,6,30],[2,7,62],[3,4,14],[3,7,99],[4,5,57],[4,6,28],[5,6,64],[5,7,8],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=3,(0,6)=6,(5,7)=8,(0,2)=14,(3,4)=14,(0,7)=24,(2,3)=24,(1,7)=28,(4,6)=28,(2,6)=30,(1,2)=37,(6,7)=47,(4,5)=57,(2,7)=62,(5,6)=64,(1,5)=67,(0,1)=69,(2,4)=80,(2,5)=85,(3,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=0, Add (1,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=8 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 5}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 5}, Find(3)=0, Find(4)=4, Add (3,4)=14 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=24 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=71\",\"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)=28 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=28 Failed, w=71\",\"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)=30 Failed, w=71\",\"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)=37 Failed, w=71\",\"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)=47 Failed, w=71\",\"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)=57 Failed, w=71\",\"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)=62 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=71\",\"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)=67 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=71\",\"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)=80 Failed, w=71\",\"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)=85 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=99 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,78],[0,4,9],[0,6,7],[0,7,95],[1,3,0],[1,6,58],[1,7,68],[2,3,63],[2,4,65],[2,5,52],[3,4,1],[3,6,26],[4,5,86],[4,6,78],[4,7,8],[5,6,94],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,9],[0,6,7],[0,7,95],[1,3,0],[1,6,58],[1,7,68],[2,3,63],[2,4,65],[2,5,52],[3,4,1],[3,6,26],[4,5,86],[4,6,78],[4,7,8],[5,6,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,9],[0,6,7],[0,7,95],[1,3,0],[1,6,58],[1,7,68],[2,3,63],[2,4,65],[2,5,52],[3,4,1],[3,6,26],[4,5,86],[4,6,78],[4,7,8],[5,6,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (4,7)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (2,3)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,9],[0,6,7],[0,7,95],[1,3,0],[1,6,58],[1,7,68],[2,3,63],[2,4,65],[2,5,52],[3,4,1],[3,6,26],[4,5,86],[4,6,78],[4,7,8],[5,6,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (3,4)=1, w=1\",\"Add (0,6)=7, w=8\",\"Add (4,7)=8, w=16\",\"Add (0,4)=9, w=25\",\"Add (2,5)=52, w=77\",\"Add (2,3)=63, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,9],[0,6,7],[0,7,95],[1,3,0],[1,6,58],[1,7,68],[2,3,63],[2,4,65],[2,5,52],[3,4,1],[3,6,26],[4,5,86],[4,6,78],[4,7,8],[5,6,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,6)=7 Succeeded, w=8\",\"Add (4,7)=8 Succeeded, w=16\",\"Add (0,4)=9 Succeeded, w=25\",\"Add (3,6)=26 Failed, w=25\",\"Add (2,5)=52 Succeeded, w=77\",\"Add (6,7)=53 Failed, w=77\",\"Add (1,6)=58 Failed, w=77\",\"Add (2,3)=63 Succeeded, w=140\",\"Add (2,4)=65 Failed, w=140\",\"Add (1,7)=68 Failed, w=140\",\"Add (0,2)=78 Failed, w=140\",\"Add (4,6)=78 Failed, w=140\",\"Add (4,5)=86 Failed, w=140\",\"Add (5,6)=94 Failed, w=140\",\"Add (0,7)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,9],[0,6,7],[0,7,95],[1,3,0],[1,6,58],[1,7,68],[2,3,63],[2,4,65],[2,5,52],[3,4,1],[3,6,26],[4,5,86],[4,6,78],[4,7,8],[5,6,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(3,4)=1,(0,6)=7,(4,7)=8,(0,4)=9,(3,6)=26,(2,5)=52,(6,7)=53,(1,6)=58,(2,3)=63,(2,4)=65,(1,7)=68,(0,2)=78,(4,6)=78,(4,5)=86,(5,6)=94,(0,7)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(3)=1, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=8\",\"Find(4)=1, Find(7)=7, Add (4,7)=8 Succeeded, w=16\",\"Find(0)=0, Find(4)=1, Add (0,4)=9 Succeeded, w=25\",\"Find(3)=0, Find(6)=0, Add (3,6)=26 Failed, w=25\",\"Find(2)=2, Find(5)=5, Add (2,5)=52 Succeeded, w=77\",\"Find(6)=0, Find(7)=0, Add (6,7)=53 Failed, w=77\",\"Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=77\",\"Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=140\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=140\",\"Find(1)=0, Find(7)=0, Add (1,7)=68 Failed, w=140\",\"Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=140\",\"Find(4)=0, Find(6)=0, Add (4,6)=78 Failed, w=140\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=140\",\"Find(5)=0, Find(6)=0, Add (5,6)=94 Failed, w=140\",\"Find(0)=0, Find(7)=0, Add (0,7)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,78],[0,4,9],[0,6,7],[0,7,95],[1,3,0],[1,6,58],[1,7,68],[2,3,63],[2,4,65],[2,5,52],[3,4,1],[3,6,26],[4,5,86],[4,6,78],[4,7,8],[5,6,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(3,4)=1,(0,6)=7,(4,7)=8,(0,4)=9,(3,6)=26,(2,5)=52,(6,7)=53,(1,6)=58,(2,3)=63,(2,4)=65,(1,7)=68,(0,2)=78,(4,6)=78,(4,5)=86,(5,6)=94,(0,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(3)=1, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 0, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 1, 5: 5, 6: 0, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=9 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 5, 6: 0, 7: 1}, Find(3)=0, Find(6)=0, Add (3,6)=26 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 2, 6: 0, 7: 1}, Find(2)=2, Find(5)=5, Add (2,5)=52 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 2, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=53 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 2, 6: 0, 7: 0}, Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=68 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=78 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=94 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=95 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,87],[0,2,15],[0,3,15],[1,2,7],[1,4,12],[2,3,76],[2,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,15],[0,3,15],[1,2,7],[1,4,12],[2,3,76],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,15],[0,3,15],[1,2,7],[1,4,12],[2,3,76],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,15],[0,3,15],[1,2,7],[1,4,12],[2,3,76],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7, w=7\",\"Add (1,4)=12, w=19\",\"Add (0,2)=15, w=34\",\"Add (0,3)=15, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,15],[0,3,15],[1,2,7],[1,4,12],[2,3,76],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7 Succeeded, w=7\",\"Add (1,4)=12 Succeeded, w=19\",\"Add (0,2)=15 Succeeded, w=34\",\"Add (0,3)=15 Succeeded, w=49\",\"Add (2,3)=76 Failed, w=49\",\"Add (0,1)=87 Failed, w=49\",\"Add (2,4)=100 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,15],[0,3,15],[1,2,7],[1,4,12],[2,3,76],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(1,4)=12,(0,2)=15,(0,3)=15,(2,3)=76,(0,1)=87,(2,4)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=19\",\"Find(0)=0, Find(2)=1, Add (0,2)=15 Succeeded, w=34\",\"Find(0)=1, Find(3)=3, Add (0,3)=15 Succeeded, w=49\",\"Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=49\",\"Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=49\",\"Find(2)=1, Find(4)=1, Add (2,4)=100 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,87],[0,2,15],[0,3,15],[1,2,7],[1,4,12],[2,3,76],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(1,4)=12,(0,2)=15,(0,3)=15,(2,3)=76,(0,1)=87,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=15 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=15 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=100 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,83],[0,2,28],[0,3,49],[0,4,13],[0,5,14],[0,6,34],[0,7,91],[1,2,58],[1,3,76],[1,5,90],[1,6,38],[1,7,21],[2,3,66],[2,4,52],[2,5,32],[2,6,77],[2,7,91],[3,6,78],[3,7,78],[4,6,43],[4,7,15],[5,6,61],[5,7,53],[6,7,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,28],[0,3,49],[0,4,13],[0,5,14],[0,6,34],[0,7,91],[1,2,58],[1,3,76],[1,5,90],[1,6,38],[1,7,21],[2,3,66],[2,4,52],[2,5,32],[2,6,77],[2,7,91],[3,6,78],[3,7,78],[4,6,43],[4,7,15],[5,6,61],[5,7,53],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,28],[0,3,49],[0,4,13],[0,5,14],[0,6,34],[0,7,91],[1,2,58],[1,3,76],[1,5,90],[1,6,38],[1,7,21],[2,3,66],[2,4,52],[2,5,32],[2,6,77],[2,7,91],[3,6,78],[3,7,78],[4,6,43],[4,7,15],[5,6,61],[5,7,53],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (4,7)\",\"Add (1,7)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (0,3)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,28],[0,3,49],[0,4,13],[0,5,14],[0,6,34],[0,7,91],[1,2,58],[1,3,76],[1,5,90],[1,6,38],[1,7,21],[2,3,66],[2,4,52],[2,5,32],[2,6,77],[2,7,91],[3,6,78],[3,7,78],[4,6,43],[4,7,15],[5,6,61],[5,7,53],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=13, w=13\",\"Add (0,5)=14, w=27\",\"Add (4,7)=15, w=42\",\"Add (1,7)=21, w=63\",\"Add (0,2)=28, w=91\",\"Add (0,6)=34, w=125\",\"Add (0,3)=49, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,28],[0,3,49],[0,4,13],[0,5,14],[0,6,34],[0,7,91],[1,2,58],[1,3,76],[1,5,90],[1,6,38],[1,7,21],[2,3,66],[2,4,52],[2,5,32],[2,6,77],[2,7,91],[3,6,78],[3,7,78],[4,6,43],[4,7,15],[5,6,61],[5,7,53],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=13 Succeeded, w=13\",\"Add (0,5)=14 Succeeded, w=27\",\"Add (4,7)=15 Succeeded, w=42\",\"Add (1,7)=21 Succeeded, w=63\",\"Add (0,2)=28 Succeeded, w=91\",\"Add (2,5)=32 Failed, w=91\",\"Add (0,6)=34 Succeeded, w=125\",\"Add (1,6)=38 Failed, w=125\",\"Add (4,6)=43 Failed, w=125\",\"Add (0,3)=49 Succeeded, w=174\",\"Add (2,4)=52 Failed, w=174\",\"Add (5,7)=53 Failed, w=174\",\"Add (1,2)=58 Failed, w=174\",\"Add (5,6)=61 Failed, w=174\",\"Add (2,3)=66 Failed, w=174\",\"Add (1,3)=76 Failed, w=174\",\"Add (2,6)=77 Failed, w=174\",\"Add (3,6)=78 Failed, w=174\",\"Add (3,7)=78 Failed, w=174\",\"Add (0,1)=83 Failed, w=174\",\"Add (1,5)=90 Failed, w=174\",\"Add (0,7)=91 Failed, w=174\",\"Add (2,7)=91 Failed, w=174\",\"Add (6,7)=94 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,28],[0,3,49],[0,4,13],[0,5,14],[0,6,34],[0,7,91],[1,2,58],[1,3,76],[1,5,90],[1,6,38],[1,7,21],[2,3,66],[2,4,52],[2,5,32],[2,6,77],[2,7,91],[3,6,78],[3,7,78],[4,6,43],[4,7,15],[5,6,61],[5,7,53],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=13,(0,5)=14,(4,7)=15,(1,7)=21,(0,2)=28,(2,5)=32,(0,6)=34,(1,6)=38,(4,6)=43,(0,3)=49,(2,4)=52,(5,7)=53,(1,2)=58,(5,6)=61,(2,3)=66,(1,3)=76,(2,6)=77,(3,6)=78,(3,7)=78,(0,1)=83,(1,5)=90,(0,7)=91,(2,7)=91,(6,7)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=27\",\"Find(4)=0, Find(7)=7, Add (4,7)=15 Succeeded, w=42\",\"Find(1)=1, Find(7)=0, Add (1,7)=21 Succeeded, w=63\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=91\",\"Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=91\",\"Find(0)=0, Find(6)=6, Add (0,6)=34 Succeeded, w=125\",\"Find(1)=0, Find(6)=0, Add (1,6)=38 Failed, w=125\",\"Find(4)=0, Find(6)=0, Add (4,6)=43 Failed, w=125\",\"Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=174\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=174\",\"Find(5)=0, Find(7)=0, Add (5,7)=53 Failed, w=174\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=174\",\"Find(5)=0, Find(6)=0, Add (5,6)=61 Failed, w=174\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=174\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=174\",\"Find(2)=0, Find(6)=0, Add (2,6)=77 Failed, w=174\",\"Find(3)=0, Find(6)=0, Add (3,6)=78 Failed, w=174\",\"Find(3)=0, Find(7)=0, Add (3,7)=78 Failed, w=174\",\"Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=174\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=174\",\"Find(0)=0, Find(7)=0, Add (0,7)=91 Failed, w=174\",\"Find(2)=0, Find(7)=0, Add (2,7)=91 Failed, w=174\",\"Find(6)=0, Find(7)=0, Add (6,7)=94 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,28],[0,3,49],[0,4,13],[0,5,14],[0,6,34],[0,7,91],[1,2,58],[1,3,76],[1,5,90],[1,6,38],[1,7,21],[2,3,66],[2,4,52],[2,5,32],[2,6,77],[2,7,91],[3,6,78],[3,7,78],[4,6,43],[4,7,15],[5,6,61],[5,7,53],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=13,(0,5)=14,(4,7)=15,(1,7)=21,(0,2)=28,(2,5)=32,(0,6)=34,(1,6)=38,(4,6)=43,(0,3)=49,(2,4)=52,(5,7)=53,(1,2)=58,(5,6)=61,(2,3)=66,(1,3)=76,(2,6)=77,(3,6)=78,(3,7)=78,(0,1)=83,(1,5)=90,(0,7)=91,(2,7)=91,(6,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=15 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=21 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=34 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=38 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=43 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=174\",\"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)=52 Failed, w=174\",\"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)=53 Failed, w=174\",\"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)=58 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=61 Failed, w=174\",\"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)=66 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=174\",\"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)=77 Failed, w=174\",\"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)=78 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=78 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=174\",\"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)=90 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=91 Failed, w=174\",\"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)=91 Failed, w=174\",\"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)=94 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,40],[0,2,32],[0,3,42],[1,2,46],[1,3,24],[2,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,32],[0,3,42],[1,2,46],[1,3,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,32],[0,3,42],[1,2,46],[1,3,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,32],[0,3,42],[1,2,46],[1,3,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24, w=24\",\"Add (0,2)=32, w=56\",\"Add (0,1)=40, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,32],[0,3,42],[1,2,46],[1,3,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24 Succeeded, w=24\",\"Add (0,2)=32 Succeeded, w=56\",\"Add (0,1)=40 Succeeded, w=96\",\"Add (0,3)=42 Failed, w=96\",\"Add (1,2)=46 Failed, w=96\",\"Add (2,3)=55 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,32],[0,3,42],[1,2,46],[1,3,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(0,2)=32,(0,1)=40,(0,3)=42,(1,2)=46,(2,3)=55]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=56\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=96\",\"Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,32],[0,3,42],[1,2,46],[1,3,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(0,2)=32,(0,1)=40,(0,3)=42,(1,2)=46,(2,3)=55]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,43],[0,3,8],[0,4,99],[0,5,55],[1,5,62],[1,6,77],[2,3,5],[2,4,29],[3,4,60],[3,6,61],[4,6,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,43],[0,3,8],[0,4,99],[0,5,55],[1,5,62],[1,6,77],[2,3,5],[2,4,29],[3,4,60],[3,6,61],[4,6,38]]}",
"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\":[[0,2,43],[0,3,8],[0,4,99],[0,5,55],[1,5,62],[1,6,77],[2,3,5],[2,4,29],[3,4,60],[3,6,61],[4,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (1,5)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,43],[0,3,8],[0,4,99],[0,5,55],[1,5,62],[1,6,77],[2,3,5],[2,4,29],[3,4,60],[3,6,61],[4,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (0,3)=8, w=13\",\"Add (2,4)=29, w=42\",\"Add (4,6)=38, w=80\",\"Add (0,5)=55, w=135\",\"Add (1,5)=62, 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\":[[0,2,43],[0,3,8],[0,4,99],[0,5,55],[1,5,62],[1,6,77],[2,3,5],[2,4,29],[3,4,60],[3,6,61],[4,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,3)=8 Succeeded, w=13\",\"Add (2,4)=29 Succeeded, w=42\",\"Add (4,6)=38 Succeeded, w=80\",\"Add (0,2)=43 Failed, w=80\",\"Add (0,5)=55 Succeeded, w=135\",\"Add (3,4)=60 Failed, w=135\",\"Add (3,6)=61 Failed, w=135\",\"Add (1,5)=62 Succeeded, w=197\",\"Add (1,6)=77 Failed, w=197\",\"Add (0,4)=99 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\":[[0,2,43],[0,3,8],[0,4,99],[0,5,55],[1,5,62],[1,6,77],[2,3,5],[2,4,29],[3,4,60],[3,6,61],[4,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,3)=8,(2,4)=29,(4,6)=38,(0,2)=43,(0,5)=55,(3,4)=60,(3,6)=61,(1,5)=62,(1,6)=77,(0,4)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=2, Add (0,3)=8 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=42\",\"Find(4)=2, Find(6)=6, Add (4,6)=38 Succeeded, w=80\",\"Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=80\",\"Find(0)=2, Find(5)=5, Add (0,5)=55 Succeeded, w=135\",\"Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=135\",\"Find(3)=2, Find(6)=2, Add (3,6)=61 Failed, w=135\",\"Find(1)=1, Find(5)=2, Add (1,5)=62 Succeeded, w=197\",\"Find(1)=2, Find(6)=2, Add (1,6)=77 Failed, w=197\",\"Find(0)=2, Find(4)=2, Add (0,4)=99 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\":[[0,2,43],[0,3,8],[0,4,99],[0,5,55],[1,5,62],[1,6,77],[2,3,5],[2,4,29],[3,4,60],[3,6,61],[4,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,3)=8,(2,4)=29,(4,6)=38,(0,2)=43,(0,5)=55,(3,4)=60,(3,6)=61,(1,5)=62,(1,6)=77,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=8 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=42\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=38 Succeeded, w=80\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=80\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=5, Add (0,5)=55 Succeeded, w=135\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=135\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=61 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(5)=2, Add (1,5)=62 Succeeded, w=197\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=77 Failed, w=197\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,29],[0,2,10],[0,3,19],[0,4,26],[0,5,35],[0,6,55],[1,2,47],[1,3,81],[1,4,12],[1,5,43],[1,6,77],[2,3,77],[2,4,1],[2,5,80],[2,6,55],[3,5,34],[3,6,4],[4,5,75],[4,6,98],[5,6,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,10],[0,3,19],[0,4,26],[0,5,35],[0,6,55],[1,2,47],[1,3,81],[1,4,12],[1,5,43],[1,6,77],[2,3,77],[2,4,1],[2,5,80],[2,6,55],[3,5,34],[3,6,4],[4,5,75],[4,6,98],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,10],[0,3,19],[0,4,26],[0,5,35],[0,6,55],[1,2,47],[1,3,81],[1,4,12],[1,5,43],[1,6,77],[2,3,77],[2,4,1],[2,5,80],[2,6,55],[3,5,34],[3,6,4],[4,5,75],[4,6,98],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (5,6)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,10],[0,3,19],[0,4,26],[0,5,35],[0,6,55],[1,2,47],[1,3,81],[1,4,12],[1,5,43],[1,6,77],[2,3,77],[2,4,1],[2,5,80],[2,6,55],[3,5,34],[3,6,4],[4,5,75],[4,6,98],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (3,6)=4, w=5\",\"Add (0,2)=10, w=15\",\"Add (1,4)=12, w=27\",\"Add (0,3)=19, w=46\",\"Add (5,6)=24, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,10],[0,3,19],[0,4,26],[0,5,35],[0,6,55],[1,2,47],[1,3,81],[1,4,12],[1,5,43],[1,6,77],[2,3,77],[2,4,1],[2,5,80],[2,6,55],[3,5,34],[3,6,4],[4,5,75],[4,6,98],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (3,6)=4 Succeeded, w=5\",\"Add (0,2)=10 Succeeded, w=15\",\"Add (1,4)=12 Succeeded, w=27\",\"Add (0,3)=19 Succeeded, w=46\",\"Add (5,6)=24 Succeeded, w=70\",\"Add (0,4)=26 Failed, w=70\",\"Add (0,1)=29 Failed, w=70\",\"Add (3,5)=34 Failed, w=70\",\"Add (0,5)=35 Failed, w=70\",\"Add (1,5)=43 Failed, w=70\",\"Add (1,2)=47 Failed, w=70\",\"Add (0,6)=55 Failed, w=70\",\"Add (2,6)=55 Failed, w=70\",\"Add (4,5)=75 Failed, w=70\",\"Add (1,6)=77 Failed, w=70\",\"Add (2,3)=77 Failed, w=70\",\"Add (2,5)=80 Failed, w=70\",\"Add (1,3)=81 Failed, w=70\",\"Add (4,6)=98 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,10],[0,3,19],[0,4,26],[0,5,35],[0,6,55],[1,2,47],[1,3,81],[1,4,12],[1,5,43],[1,6,77],[2,3,77],[2,4,1],[2,5,80],[2,6,55],[3,5,34],[3,6,4],[4,5,75],[4,6,98],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(3,6)=4,(0,2)=10,(1,4)=12,(0,3)=19,(5,6)=24,(0,4)=26,(0,1)=29,(3,5)=34,(0,5)=35,(1,5)=43,(1,2)=47,(0,6)=55,(2,6)=55,(4,5)=75,(1,6)=77,(2,3)=77,(2,5)=80,(1,3)=81,(4,6)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=15\",\"Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=27\",\"Find(0)=2, Find(3)=3, Add (0,3)=19 Succeeded, w=46\",\"Find(5)=5, Find(6)=2, Add (5,6)=24 Succeeded, w=70\",\"Find(0)=2, Find(4)=2, Add (0,4)=26 Failed, w=70\",\"Find(0)=2, Find(1)=2, Add (0,1)=29 Failed, w=70\",\"Find(3)=2, Find(5)=2, Add (3,5)=34 Failed, w=70\",\"Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=70\",\"Find(1)=2, Find(5)=2, Add (1,5)=43 Failed, w=70\",\"Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=70\",\"Find(0)=2, Find(6)=2, Add (0,6)=55 Failed, w=70\",\"Find(2)=2, Find(6)=2, Add (2,6)=55 Failed, w=70\",\"Find(4)=2, Find(5)=2, Add (4,5)=75 Failed, w=70\",\"Find(1)=2, Find(6)=2, Add (1,6)=77 Failed, w=70\",\"Find(2)=2, Find(3)=2, Add (2,3)=77 Failed, w=70\",\"Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=70\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=70\",\"Find(4)=2, Find(6)=2, Add (4,6)=98 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,10],[0,3,19],[0,4,26],[0,5,35],[0,6,55],[1,2,47],[1,3,81],[1,4,12],[1,5,43],[1,6,77],[2,3,77],[2,4,1],[2,5,80],[2,6,55],[3,5,34],[3,6,4],[4,5,75],[4,6,98],[5,6,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(3,6)=4,(0,2)=10,(1,4)=12,(0,3)=19,(5,6)=24,(0,4)=26,(0,1)=29,(3,5)=34,(0,5)=35,(1,5)=43,(1,2)=47,(0,6)=55,(2,6)=55,(4,5)=75,(1,6)=77,(2,3)=77,(2,5)=80,(1,3)=81,(4,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3}, Find(0)=2, Find(3)=3, Add (0,3)=19 Succeeded, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=5, Find(6)=2, Add (5,6)=24 Succeeded, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=26 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=29 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=34 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=43 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=55 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=55 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=75 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=77 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=77 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=98 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,1],[0,2,87],[0,3,54],[0,4,35],[0,5,80],[1,2,75],[1,5,11],[1,6,61],[2,3,43],[2,5,91],[3,6,54],[4,5,63],[4,6,97],[5,6,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,87],[0,3,54],[0,4,35],[0,5,80],[1,2,75],[1,5,11],[1,6,61],[2,3,43],[2,5,91],[3,6,54],[4,5,63],[4,6,97],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,87],[0,3,54],[0,4,35],[0,5,80],[1,2,75],[1,5,11],[1,6,61],[2,3,43],[2,5,91],[3,6,54],[4,5,63],[4,6,97],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (0,3)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,87],[0,3,54],[0,4,35],[0,5,80],[1,2,75],[1,5,11],[1,6,61],[2,3,43],[2,5,91],[3,6,54],[4,5,63],[4,6,97],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (1,5)=11, w=12\",\"Add (0,4)=35, w=47\",\"Add (2,3)=43, w=90\",\"Add (5,6)=51, w=141\",\"Add (0,3)=54, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,87],[0,3,54],[0,4,35],[0,5,80],[1,2,75],[1,5,11],[1,6,61],[2,3,43],[2,5,91],[3,6,54],[4,5,63],[4,6,97],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (1,5)=11 Succeeded, w=12\",\"Add (0,4)=35 Succeeded, w=47\",\"Add (2,3)=43 Succeeded, w=90\",\"Add (5,6)=51 Succeeded, w=141\",\"Add (0,3)=54 Succeeded, w=195\",\"Add (3,6)=54 Failed, w=195\",\"Add (1,6)=61 Failed, w=195\",\"Add (4,5)=63 Failed, w=195\",\"Add (1,2)=75 Failed, w=195\",\"Add (0,5)=80 Failed, w=195\",\"Add (0,2)=87 Failed, w=195\",\"Add (2,5)=91 Failed, w=195\",\"Add (4,6)=97 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,87],[0,3,54],[0,4,35],[0,5,80],[1,2,75],[1,5,11],[1,6,61],[2,3,43],[2,5,91],[3,6,54],[4,5,63],[4,6,97],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,5)=11,(0,4)=35,(2,3)=43,(5,6)=51,(0,3)=54,(3,6)=54,(1,6)=61,(4,5)=63,(1,2)=75,(0,5)=80,(0,2)=87,(2,5)=91,(4,6)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(1)=0, Find(5)=5, Add (1,5)=11 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=47\",\"Find(2)=2, Find(3)=3, Add (2,3)=43 Succeeded, w=90\",\"Find(5)=0, Find(6)=6, Add (5,6)=51 Succeeded, w=141\",\"Find(0)=0, Find(3)=2, Add (0,3)=54 Succeeded, w=195\",\"Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=195\",\"Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=195\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=195\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=195\",\"Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=195\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=195\",\"Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=195\",\"Find(4)=0, Find(6)=0, Add (4,6)=97 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,87],[0,3,54],[0,4,35],[0,5,80],[1,2,75],[1,5,11],[1,6,61],[2,3,43],[2,5,91],[3,6,54],[4,5,63],[4,6,97],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,5)=11,(0,4)=35,(2,3)=43,(5,6)=51,(0,3)=54,(3,6)=54,(1,6)=61,(4,5)=63,(1,2)=75,(0,5)=80,(0,2)=87,(2,5)=91,(4,6)=97]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=0, Find(5)=5, Add (1,5)=11 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=43 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=51 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=2, Add (0,3)=54 Succeeded, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=97 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,4,29],[1,2,66],[1,4,32],[2,3,29],[2,4,94],[3,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,4,29],[1,2,66],[1,4,32],[2,3,29],[2,4,94],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,4,29],[1,2,66],[1,4,32],[2,3,29],[2,4,94],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (1,2)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,4,29],[1,2,66],[1,4,32],[2,3,29],[2,4,94],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=29, w=29\",\"Add (2,3)=29, w=58\",\"Add (1,4)=32, w=90\",\"Add (1,2)=66, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,4,29],[1,2,66],[1,4,32],[2,3,29],[2,4,94],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=29 Succeeded, w=29\",\"Add (2,3)=29 Succeeded, w=58\",\"Add (1,4)=32 Succeeded, w=90\",\"Add (1,2)=66 Succeeded, w=156\",\"Add (0,1)=76 Failed, w=156\",\"Add (3,4)=91 Failed, w=156\",\"Add (2,4)=94 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,4,29],[1,2,66],[1,4,32],[2,3,29],[2,4,94],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=29,(2,3)=29,(1,4)=32,(1,2)=66,(0,1)=76,(3,4)=91,(2,4)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=29\",\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=58\",\"Find(1)=1, Find(4)=0, Add (1,4)=32 Succeeded, w=90\",\"Find(1)=0, Find(2)=2, Add (1,2)=66 Succeeded, w=156\",\"Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=156\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=156\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,4,29],[1,2,66],[1,4,32],[2,3,29],[2,4,94],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=29,(2,3)=29,(1,4)=32,(1,2)=66,(0,1)=76,(3,4)=91,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=32 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=66 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,19],[0,4,38],[1,2,33],[2,3,95],[2,4,41],[3,4,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,19],[0,4,38],[1,2,33],[2,3,95],[2,4,41],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,19],[0,4,38],[1,2,33],[2,3,95],[2,4,41],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,19],[0,4,38],[1,2,33],[2,3,95],[2,4,41],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (1,2)=33, w=52\",\"Add (0,4)=38, w=90\",\"Add (3,4)=63, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,19],[0,4,38],[1,2,33],[2,3,95],[2,4,41],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (1,2)=33 Succeeded, w=52\",\"Add (0,4)=38 Succeeded, w=90\",\"Add (2,4)=41 Failed, w=90\",\"Add (3,4)=63 Succeeded, w=153\",\"Add (2,3)=95 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,19],[0,4,38],[1,2,33],[2,3,95],[2,4,41],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,2)=33,(0,4)=38,(2,4)=41,(3,4)=63,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(1)=1, Find(2)=0, Add (1,2)=33 Succeeded, w=52\",\"Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=90\",\"Find(2)=0, Find(4)=0, Add (2,4)=41 Failed, w=90\",\"Find(3)=3, Find(4)=0, Add (3,4)=63 Succeeded, w=153\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,19],[0,4,38],[1,2,33],[2,3,95],[2,4,41],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,2)=33,(0,4)=38,(2,4)=41,(3,4)=63,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=33 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=41 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=63 Succeeded, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,20],[0,2,87],[0,3,47],[0,4,38],[1,2,51],[1,3,10],[1,4,1],[2,3,60],[2,4,76],[3,4,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,87],[0,3,47],[0,4,38],[1,2,51],[1,3,10],[1,4,1],[2,3,60],[2,4,76],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,87],[0,3,47],[0,4,38],[1,2,51],[1,3,10],[1,4,1],[2,3,60],[2,4,76],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,87],[0,3,47],[0,4,38],[1,2,51],[1,3,10],[1,4,1],[2,3,60],[2,4,76],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (1,3)=10, w=11\",\"Add (0,1)=20, w=31\",\"Add (1,2)=51, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,87],[0,3,47],[0,4,38],[1,2,51],[1,3,10],[1,4,1],[2,3,60],[2,4,76],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (1,3)=10 Succeeded, w=11\",\"Add (3,4)=15 Failed, w=11\",\"Add (0,1)=20 Succeeded, w=31\",\"Add (0,4)=38 Failed, w=31\",\"Add (0,3)=47 Failed, w=31\",\"Add (1,2)=51 Succeeded, w=82\",\"Add (2,3)=60 Failed, w=82\",\"Add (2,4)=76 Failed, w=82\",\"Add (0,2)=87 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,87],[0,3,47],[0,4,38],[1,2,51],[1,3,10],[1,4,1],[2,3,60],[2,4,76],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(1,3)=10,(3,4)=15,(0,1)=20,(0,4)=38,(0,3)=47,(1,2)=51,(2,3)=60,(2,4)=76,(0,2)=87]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=11\",\"Find(3)=1, Find(4)=1, Add (3,4)=15 Failed, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=31\",\"Find(0)=1, Find(4)=1, Add (0,4)=38 Failed, w=31\",\"Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=31\",\"Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=82\",\"Find(2)=1, Find(3)=1, Add (2,3)=60 Failed, w=82\",\"Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=82\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,87],[0,3,47],[0,4,38],[1,2,51],[1,3,10],[1,4,1],[2,3,60],[2,4,76],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(1,3)=10,(3,4)=15,(0,1)=20,(0,4)=38,(0,3)=47,(1,2)=51,(2,3)=60,(2,4)=76,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=15 Failed, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=38 Failed, w=31\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=60 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=76 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,11],[0,3,1],[1,2,30],[2,3,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,1],[1,2,30],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,1],[1,2,30],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,1],[1,2,30],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (0,2)=11, w=12\",\"Add (1,2)=30, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,1],[1,2,30],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (0,2)=11 Succeeded, w=12\",\"Add (1,2)=30 Succeeded, w=42\",\"Add (2,3)=60 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,1],[1,2,30],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,2)=11,(1,2)=30,(2,3)=60]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=12\",\"Find(1)=1, Find(2)=0, Add (1,2)=30 Succeeded, w=42\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,1],[1,2,30],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,2)=11,(1,2)=30,(2,3)=60]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=30 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,52],[0,2,49],[0,3,60],[1,2,51],[1,3,21],[2,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,49],[0,3,60],[1,2,51],[1,3,21],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,49],[0,3,60],[1,2,51],[1,3,21],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,49],[0,3,60],[1,2,51],[1,3,21],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21, w=21\",\"Add (0,2)=49, w=70\",\"Add (1,2)=51, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,49],[0,3,60],[1,2,51],[1,3,21],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21 Succeeded, w=21\",\"Add (0,2)=49 Succeeded, w=70\",\"Add (1,2)=51 Succeeded, w=121\",\"Add (0,1)=52 Failed, w=121\",\"Add (0,3)=60 Failed, w=121\",\"Add (2,3)=74 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,49],[0,3,60],[1,2,51],[1,3,21],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(0,2)=49,(1,2)=51,(0,1)=52,(0,3)=60,(2,3)=74]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=70\",\"Find(1)=1, Find(2)=0, Add (1,2)=51 Succeeded, w=121\",\"Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=121\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=121\",\"Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,49],[0,3,60],[1,2,51],[1,3,21],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(0,2)=49,(1,2)=51,(0,1)=52,(0,3)=60,(2,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=51 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,47],[0,2,72],[0,3,43],[0,4,32],[1,2,36],[1,3,64],[2,3,24],[2,4,81],[3,4,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,72],[0,3,43],[0,4,32],[1,2,36],[1,3,64],[2,3,24],[2,4,81],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,72],[0,3,43],[0,4,32],[1,2,36],[1,3,64],[2,3,24],[2,4,81],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,72],[0,3,43],[0,4,32],[1,2,36],[1,3,64],[2,3,24],[2,4,81],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=24, w=24\",\"Add (3,4)=26, w=50\",\"Add (0,4)=32, w=82\",\"Add (1,2)=36, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,72],[0,3,43],[0,4,32],[1,2,36],[1,3,64],[2,3,24],[2,4,81],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=24 Succeeded, w=24\",\"Add (3,4)=26 Succeeded, w=50\",\"Add (0,4)=32 Succeeded, w=82\",\"Add (1,2)=36 Succeeded, w=118\",\"Add (0,3)=43 Failed, w=118\",\"Add (0,1)=47 Failed, w=118\",\"Add (1,3)=64 Failed, w=118\",\"Add (0,2)=72 Failed, w=118\",\"Add (2,4)=81 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,72],[0,3,43],[0,4,32],[1,2,36],[1,3,64],[2,3,24],[2,4,81],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=24,(3,4)=26,(0,4)=32,(1,2)=36,(0,3)=43,(0,1)=47,(1,3)=64,(0,2)=72,(2,4)=81]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=24\",\"Find(3)=2, Find(4)=4, Add (3,4)=26 Succeeded, w=50\",\"Find(0)=0, Find(4)=2, Add (0,4)=32 Succeeded, w=82\",\"Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=118\",\"Find(0)=2, Find(3)=2, Add (0,3)=43 Failed, w=118\",\"Find(0)=2, Find(1)=2, Add (0,1)=47 Failed, w=118\",\"Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=118\",\"Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=118\",\"Find(2)=2, Find(4)=2, Add (2,4)=81 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,72],[0,3,43],[0,4,32],[1,2,36],[1,3,64],[2,3,24],[2,4,81],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=24,(3,4)=26,(0,4)=32,(1,2)=36,(0,3)=43,(0,1)=47,(1,3)=64,(0,2)=72,(2,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=26 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=32 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=43 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=47 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=81 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,40],[1,2,71],[1,3,21],[2,3,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,71],[1,3,21],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,71],[1,3,21],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,71],[1,3,21],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21, w=21\",\"Add (0,1)=40, w=61\",\"Add (2,3)=42, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,71],[1,3,21],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21 Succeeded, w=21\",\"Add (0,1)=40 Succeeded, w=61\",\"Add (2,3)=42 Succeeded, w=103\",\"Add (1,2)=71 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,71],[1,3,21],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(0,1)=40,(2,3)=42,(1,2)=71]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=61\",\"Find(2)=2, Find(3)=1, Add (2,3)=42 Succeeded, w=103\",\"Find(1)=1, Find(2)=1, Add (1,2)=71 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,71],[1,3,21],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(0,1)=40,(2,3)=42,(1,2)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=42 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=71 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,95],[0,2,20],[0,3,80],[0,4,26],[0,5,33],[0,6,8],[0,7,7],[1,2,80],[1,3,24],[1,4,77],[1,5,12],[1,6,58],[1,7,93],[2,3,74],[2,4,60],[2,5,39],[2,6,73],[2,7,61],[3,4,6],[3,5,45],[3,6,39],[3,7,16],[4,5,24],[4,6,47],[4,7,97],[5,6,8],[5,7,77],[6,7,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,20],[0,3,80],[0,4,26],[0,5,33],[0,6,8],[0,7,7],[1,2,80],[1,3,24],[1,4,77],[1,5,12],[1,6,58],[1,7,93],[2,3,74],[2,4,60],[2,5,39],[2,6,73],[2,7,61],[3,4,6],[3,5,45],[3,6,39],[3,7,16],[4,5,24],[4,6,47],[4,7,97],[5,6,8],[5,7,77],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,20],[0,3,80],[0,4,26],[0,5,33],[0,6,8],[0,7,7],[1,2,80],[1,3,24],[1,4,77],[1,5,12],[1,6,58],[1,7,93],[2,3,74],[2,4,60],[2,5,39],[2,6,73],[2,7,61],[3,4,6],[3,5,45],[3,6,39],[3,7,16],[4,5,24],[4,6,47],[4,7,97],[5,6,8],[5,7,77],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (3,4)\",\"Add (0,7)\",\"Add (5,6)\",\"Add (1,5)\",\"Add (3,7)\",\"Add (0,2)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,20],[0,3,80],[0,4,26],[0,5,33],[0,6,8],[0,7,7],[1,2,80],[1,3,24],[1,4,77],[1,5,12],[1,6,58],[1,7,93],[2,3,74],[2,4,60],[2,5,39],[2,6,73],[2,7,61],[3,4,6],[3,5,45],[3,6,39],[3,7,16],[4,5,24],[4,6,47],[4,7,97],[5,6,8],[5,7,77],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=5, w=5\",\"Add (3,4)=6, w=11\",\"Add (0,7)=7, w=18\",\"Add (5,6)=8, w=26\",\"Add (1,5)=12, w=38\",\"Add (3,7)=16, w=54\",\"Add (0,2)=20, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,20],[0,3,80],[0,4,26],[0,5,33],[0,6,8],[0,7,7],[1,2,80],[1,3,24],[1,4,77],[1,5,12],[1,6,58],[1,7,93],[2,3,74],[2,4,60],[2,5,39],[2,6,73],[2,7,61],[3,4,6],[3,5,45],[3,6,39],[3,7,16],[4,5,24],[4,6,47],[4,7,97],[5,6,8],[5,7,77],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=5 Succeeded, w=5\",\"Add (3,4)=6 Succeeded, w=11\",\"Add (0,7)=7 Succeeded, w=18\",\"Add (0,6)=8 Failed, w=18\",\"Add (5,6)=8 Succeeded, w=26\",\"Add (1,5)=12 Succeeded, w=38\",\"Add (3,7)=16 Succeeded, w=54\",\"Add (0,2)=20 Succeeded, w=74\",\"Add (1,3)=24 Failed, w=74\",\"Add (4,5)=24 Failed, w=74\",\"Add (0,4)=26 Failed, w=74\",\"Add (0,5)=33 Failed, w=74\",\"Add (2,5)=39 Failed, w=74\",\"Add (3,6)=39 Failed, w=74\",\"Add (3,5)=45 Failed, w=74\",\"Add (4,6)=47 Failed, w=74\",\"Add (1,6)=58 Failed, w=74\",\"Add (2,4)=60 Failed, w=74\",\"Add (2,7)=61 Failed, w=74\",\"Add (2,6)=73 Failed, w=74\",\"Add (2,3)=74 Failed, w=74\",\"Add (1,4)=77 Failed, w=74\",\"Add (5,7)=77 Failed, w=74\",\"Add (0,3)=80 Failed, w=74\",\"Add (1,2)=80 Failed, w=74\",\"Add (1,7)=93 Failed, w=74\",\"Add (0,1)=95 Failed, w=74\",\"Add (4,7)=97 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,20],[0,3,80],[0,4,26],[0,5,33],[0,6,8],[0,7,7],[1,2,80],[1,3,24],[1,4,77],[1,5,12],[1,6,58],[1,7,93],[2,3,74],[2,4,60],[2,5,39],[2,6,73],[2,7,61],[3,4,6],[3,5,45],[3,6,39],[3,7,16],[4,5,24],[4,6,47],[4,7,97],[5,6,8],[5,7,77],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=5,(3,4)=6,(0,7)=7,(0,6)=8,(5,6)=8,(1,5)=12,(3,7)=16,(0,2)=20,(1,3)=24,(4,5)=24,(0,4)=26,(0,5)=33,(2,5)=39,(3,6)=39,(3,5)=45,(4,6)=47,(1,6)=58,(2,4)=60,(2,7)=61,(2,6)=73,(2,3)=74,(1,4)=77,(5,7)=77,(0,3)=80,(1,2)=80,(1,7)=93,(0,1)=95,(4,7)=97]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=5 Succeeded, w=5\",\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=11\",\"Find(0)=0, Find(7)=6, Add (0,7)=7 Succeeded, w=18\",\"Find(0)=6, Find(6)=6, Add (0,6)=8 Failed, w=18\",\"Find(5)=5, Find(6)=6, Add (5,6)=8 Succeeded, w=26\",\"Find(1)=1, Find(5)=6, Add (1,5)=12 Succeeded, w=38\",\"Find(3)=3, Find(7)=6, Add (3,7)=16 Succeeded, w=54\",\"Find(0)=3, Find(2)=2, Add (0,2)=20 Succeeded, w=74\",\"Find(1)=3, Find(3)=3, Add (1,3)=24 Failed, w=74\",\"Find(4)=3, Find(5)=3, Add (4,5)=24 Failed, w=74\",\"Find(0)=3, Find(4)=3, Add (0,4)=26 Failed, w=74\",\"Find(0)=3, Find(5)=3, Add (0,5)=33 Failed, w=74\",\"Find(2)=3, Find(5)=3, Add (2,5)=39 Failed, w=74\",\"Find(3)=3, Find(6)=3, Add (3,6)=39 Failed, w=74\",\"Find(3)=3, Find(5)=3, Add (3,5)=45 Failed, w=74\",\"Find(4)=3, Find(6)=3, Add (4,6)=47 Failed, w=74\",\"Find(1)=3, Find(6)=3, Add (1,6)=58 Failed, w=74\",\"Find(2)=3, Find(4)=3, Add (2,4)=60 Failed, w=74\",\"Find(2)=3, Find(7)=3, Add (2,7)=61 Failed, w=74\",\"Find(2)=3, Find(6)=3, Add (2,6)=73 Failed, w=74\",\"Find(2)=3, Find(3)=3, Add (2,3)=74 Failed, w=74\",\"Find(1)=3, Find(4)=3, Add (1,4)=77 Failed, w=74\",\"Find(5)=3, Find(7)=3, Add (5,7)=77 Failed, w=74\",\"Find(0)=3, Find(3)=3, Add (0,3)=80 Failed, w=74\",\"Find(1)=3, Find(2)=3, Add (1,2)=80 Failed, w=74\",\"Find(1)=3, Find(7)=3, Add (1,7)=93 Failed, w=74\",\"Find(0)=3, Find(1)=3, Add (0,1)=95 Failed, w=74\",\"Find(4)=3, Find(7)=3, Add (4,7)=97 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,20],[0,3,80],[0,4,26],[0,5,33],[0,6,8],[0,7,7],[1,2,80],[1,3,24],[1,4,77],[1,5,12],[1,6,58],[1,7,93],[2,3,74],[2,4,60],[2,5,39],[2,6,73],[2,7,61],[3,4,6],[3,5,45],[3,6,39],[3,7,16],[4,5,24],[4,6,47],[4,7,97],[5,6,8],[5,7,77],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=5,(3,4)=6,(0,7)=7,(0,6)=8,(5,6)=8,(1,5)=12,(3,7)=16,(0,2)=20,(1,3)=24,(4,5)=24,(0,4)=26,(0,5)=33,(2,5)=39,(3,6)=39,(3,5)=45,(4,6)=47,(1,6)=58,(2,4)=60,(2,7)=61,(2,6)=73,(2,3)=74,(1,4)=77,(5,7)=77,(0,3)=80,(1,2)=80,(1,7)=93,(0,1)=95,(4,7)=97]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=11\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(7)=6, Add (0,7)=7 Succeeded, w=18\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(0)=6, Find(6)=6, Add (0,6)=8 Failed, w=18\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 3, 5: 6, 6: 6, 7: 6}, Find(5)=5, Find(6)=6, Add (5,6)=8 Succeeded, w=26\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 3, 4: 3, 5: 6, 6: 6, 7: 6}, Find(1)=1, Find(5)=6, Add (1,5)=12 Succeeded, w=38\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 3, 4: 3, 5: 6, 6: 3, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=16 Succeeded, w=54\",\"Parent: {0: 3, 1: 6, 2: 3, 3: 3, 4: 3, 5: 6, 6: 3, 7: 6}, Find(0)=3, Find(2)=2, Add (0,2)=20 Succeeded, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 6, 6: 3, 7: 6}, Find(1)=3, Find(3)=3, Add (1,3)=24 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(4)=3, Find(5)=3, Add (4,5)=24 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(0)=3, Find(4)=3, Add (0,4)=26 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(0)=3, Find(5)=3, Add (0,5)=33 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(2)=3, Find(5)=3, Add (2,5)=39 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(3)=3, Find(6)=3, Add (3,6)=39 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(3)=3, Find(5)=3, Add (3,5)=45 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(4)=3, Find(6)=3, Add (4,6)=47 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(1)=3, Find(6)=3, Add (1,6)=58 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(2)=3, Find(4)=3, Add (2,4)=60 Failed, w=74\",\"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)=61 Failed, w=74\",\"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)=73 Failed, w=74\",\"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)=74 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=77 Failed, w=74\",\"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)=77 Failed, w=74\",\"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)=80 Failed, w=74\",\"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)=80 Failed, w=74\",\"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)=93 Failed, w=74\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=95 Failed, w=74\",\"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)=97 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[0,2,83],[0,3,21],[0,4,9],[1,2,51],[1,3,46],[1,4,76],[2,3,62],[2,4,20],[3,4,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,83],[0,3,21],[0,4,9],[1,2,51],[1,3,46],[1,4,76],[2,3,62],[2,4,20],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,83],[0,3,21],[0,4,9],[1,2,51],[1,3,46],[1,4,76],[2,3,62],[2,4,20],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,83],[0,3,21],[0,4,9],[1,2,51],[1,3,46],[1,4,76],[2,3,62],[2,4,20],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (2,4)=20, w=29\",\"Add (0,3)=21, w=50\",\"Add (1,3)=46, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,83],[0,3,21],[0,4,9],[1,2,51],[1,3,46],[1,4,76],[2,3,62],[2,4,20],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (2,4)=20 Succeeded, w=29\",\"Add (0,3)=21 Succeeded, w=50\",\"Add (1,3)=46 Succeeded, w=96\",\"Add (1,2)=51 Failed, w=96\",\"Add (2,3)=62 Failed, w=96\",\"Add (1,4)=76 Failed, w=96\",\"Add (0,1)=77 Failed, w=96\",\"Add (0,2)=83 Failed, w=96\",\"Add (3,4)=98 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,83],[0,3,21],[0,4,9],[1,2,51],[1,3,46],[1,4,76],[2,3,62],[2,4,20],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(2,4)=20,(0,3)=21,(1,3)=46,(1,2)=51,(2,3)=62,(1,4)=76,(0,1)=77,(0,2)=83,(3,4)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=0, Add (2,4)=20 Succeeded, w=29\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=50\",\"Find(1)=1, Find(3)=0, Add (1,3)=46 Succeeded, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=96\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=96\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,83],[0,3,21],[0,4,9],[1,2,51],[1,3,46],[1,4,76],[2,3,62],[2,4,20],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(2,4)=20,(0,3)=21,(1,3)=46,(1,2)=51,(2,3)=62,(1,4)=76,(0,1)=77,(0,2)=83,(3,4)=98]\",\"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: 0, 3: 3, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=20 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=46 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,86],[0,2,88],[0,3,87],[0,4,73],[1,2,46],[1,3,52],[1,4,79],[2,3,37],[2,4,35],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,88],[0,3,87],[0,4,73],[1,2,46],[1,3,52],[1,4,79],[2,3,37],[2,4,35],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,88],[0,3,87],[0,4,73],[1,2,46],[1,3,52],[1,4,79],[2,3,37],[2,4,35],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,88],[0,3,87],[0,4,73],[1,2,46],[1,3,52],[1,4,79],[2,3,37],[2,4,35],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=35, w=35\",\"Add (2,3)=37, w=72\",\"Add (1,2)=46, w=118\",\"Add (0,4)=73, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,88],[0,3,87],[0,4,73],[1,2,46],[1,3,52],[1,4,79],[2,3,37],[2,4,35],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=35 Succeeded, w=35\",\"Add (2,3)=37 Succeeded, w=72\",\"Add (1,2)=46 Succeeded, w=118\",\"Add (1,3)=52 Failed, w=118\",\"Add (3,4)=54 Failed, w=118\",\"Add (0,4)=73 Succeeded, w=191\",\"Add (1,4)=79 Failed, w=191\",\"Add (0,1)=86 Failed, w=191\",\"Add (0,3)=87 Failed, w=191\",\"Add (0,2)=88 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,88],[0,3,87],[0,4,73],[1,2,46],[1,3,52],[1,4,79],[2,3,37],[2,4,35],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=35,(2,3)=37,(1,2)=46,(1,3)=52,(3,4)=54,(0,4)=73,(1,4)=79,(0,1)=86,(0,3)=87,(0,2)=88]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=35\",\"Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=72\",\"Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=118\",\"Find(1)=2, Find(3)=2, Add (1,3)=52 Failed, w=118\",\"Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=118\",\"Find(0)=0, Find(4)=2, Add (0,4)=73 Succeeded, w=191\",\"Find(1)=2, Find(4)=2, Add (1,4)=79 Failed, w=191\",\"Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=191\",\"Find(0)=2, Find(3)=2, Add (0,3)=87 Failed, w=191\",\"Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,88],[0,3,87],[0,4,73],[1,2,46],[1,3,52],[1,4,79],[2,3,37],[2,4,35],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=35,(2,3)=37,(1,2)=46,(1,3)=52,(3,4)=54,(0,4)=73,(1,4)=79,(0,1)=86,(0,3)=87,(0,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=72\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=118\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=52 Failed, w=118\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=73 Succeeded, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=79 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=86 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=87 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,2,92],[1,4,62],[2,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,92],[1,4,62],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,92],[1,4,62],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,92],[1,4,62],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (2,4)=21, w=30\",\"Add (1,4)=62, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,92],[1,4,62],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (2,4)=21 Succeeded, w=30\",\"Add (1,4)=62 Succeeded, w=92\",\"Add (0,2)=92 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,92],[1,4,62],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(2,4)=21,(1,4)=62,(0,2)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=30\",\"Find(1)=0, Find(4)=2, Add (1,4)=62 Succeeded, w=92\",\"Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,92],[1,4,62],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(2,4)=21,(1,4)=62,(0,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=62 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,55],[0,4,42],[0,5,32],[0,6,85],[0,7,64],[1,2,35],[1,3,46],[1,4,39],[1,5,43],[1,6,90],[1,7,4],[2,3,63],[2,4,97],[2,6,7],[2,7,25],[3,5,78],[3,6,76],[3,7,52],[4,6,3],[4,7,91],[5,6,90],[5,7,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,4,42],[0,5,32],[0,6,85],[0,7,64],[1,2,35],[1,3,46],[1,4,39],[1,5,43],[1,6,90],[1,7,4],[2,3,63],[2,4,97],[2,6,7],[2,7,25],[3,5,78],[3,6,76],[3,7,52],[4,6,3],[4,7,91],[5,6,90],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,4,42],[0,5,32],[0,6,85],[0,7,64],[1,2,35],[1,3,46],[1,4,39],[1,5,43],[1,6,90],[1,7,4],[2,3,63],[2,4,97],[2,6,7],[2,7,25],[3,5,78],[3,6,76],[3,7,52],[4,6,3],[4,7,91],[5,6,90],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,7)\",\"Add (2,6)\",\"Add (2,7)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,4,42],[0,5,32],[0,6,85],[0,7,64],[1,2,35],[1,3,46],[1,4,39],[1,5,43],[1,6,90],[1,7,4],[2,3,63],[2,4,97],[2,6,7],[2,7,25],[3,5,78],[3,6,76],[3,7,52],[4,6,3],[4,7,91],[5,6,90],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3, w=3\",\"Add (1,7)=4, w=7\",\"Add (2,6)=7, w=14\",\"Add (2,7)=25, w=39\",\"Add (0,5)=32, w=71\",\"Add (0,4)=42, w=113\",\"Add (1,3)=46, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,4,42],[0,5,32],[0,6,85],[0,7,64],[1,2,35],[1,3,46],[1,4,39],[1,5,43],[1,6,90],[1,7,4],[2,3,63],[2,4,97],[2,6,7],[2,7,25],[3,5,78],[3,6,76],[3,7,52],[4,6,3],[4,7,91],[5,6,90],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3 Succeeded, w=3\",\"Add (1,7)=4 Succeeded, w=7\",\"Add (2,6)=7 Succeeded, w=14\",\"Add (2,7)=25 Succeeded, w=39\",\"Add (0,5)=32 Succeeded, w=71\",\"Add (1,2)=35 Failed, w=71\",\"Add (1,4)=39 Failed, w=71\",\"Add (0,4)=42 Succeeded, w=113\",\"Add (1,5)=43 Failed, w=113\",\"Add (5,7)=43 Failed, w=113\",\"Add (1,3)=46 Succeeded, w=159\",\"Add (3,7)=52 Failed, w=159\",\"Add (0,1)=55 Failed, w=159\",\"Add (2,3)=63 Failed, w=159\",\"Add (0,7)=64 Failed, w=159\",\"Add (3,6)=76 Failed, w=159\",\"Add (3,5)=78 Failed, w=159\",\"Add (0,6)=85 Failed, w=159\",\"Add (1,6)=90 Failed, w=159\",\"Add (5,6)=90 Failed, w=159\",\"Add (4,7)=91 Failed, w=159\",\"Add (2,4)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,4,42],[0,5,32],[0,6,85],[0,7,64],[1,2,35],[1,3,46],[1,4,39],[1,5,43],[1,6,90],[1,7,4],[2,3,63],[2,4,97],[2,6,7],[2,7,25],[3,5,78],[3,6,76],[3,7,52],[4,6,3],[4,7,91],[5,6,90],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(1,7)=4,(2,6)=7,(2,7)=25,(0,5)=32,(1,2)=35,(1,4)=39,(0,4)=42,(1,5)=43,(5,7)=43,(1,3)=46,(3,7)=52,(0,1)=55,(2,3)=63,(0,7)=64,(3,6)=76,(3,5)=78,(0,6)=85,(1,6)=90,(5,6)=90,(4,7)=91,(2,4)=97]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=7\",\"Find(2)=2, Find(6)=4, Add (2,6)=7 Succeeded, w=14\",\"Find(2)=4, Find(7)=1, Add (2,7)=25 Succeeded, w=39\",\"Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=71\",\"Find(1)=4, Find(2)=4, Add (1,2)=35 Failed, w=71\",\"Find(1)=4, Find(4)=4, Add (1,4)=39 Failed, w=71\",\"Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=113\",\"Find(1)=4, Find(5)=4, Add (1,5)=43 Failed, w=113\",\"Find(5)=4, Find(7)=4, Add (5,7)=43 Failed, w=113\",\"Find(1)=4, Find(3)=3, Add (1,3)=46 Succeeded, w=159\",\"Find(3)=4, Find(7)=4, Add (3,7)=52 Failed, w=159\",\"Find(0)=4, Find(1)=4, Add (0,1)=55 Failed, w=159\",\"Find(2)=4, Find(3)=4, Add (2,3)=63 Failed, w=159\",\"Find(0)=4, Find(7)=4, Add (0,7)=64 Failed, w=159\",\"Find(3)=4, Find(6)=4, Add (3,6)=76 Failed, w=159\",\"Find(3)=4, Find(5)=4, Add (3,5)=78 Failed, w=159\",\"Find(0)=4, Find(6)=4, Add (0,6)=85 Failed, w=159\",\"Find(1)=4, Find(6)=4, Add (1,6)=90 Failed, w=159\",\"Find(5)=4, Find(6)=4, Add (5,6)=90 Failed, w=159\",\"Find(4)=4, Find(7)=4, Add (4,7)=91 Failed, w=159\",\"Find(2)=4, Find(4)=4, Add (2,4)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,4,42],[0,5,32],[0,6,85],[0,7,64],[1,2,35],[1,3,46],[1,4,39],[1,5,43],[1,6,90],[1,7,4],[2,3,63],[2,4,97],[2,6,7],[2,7,25],[3,5,78],[3,6,76],[3,7,52],[4,6,3],[4,7,91],[5,6,90],[5,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(1,7)=4,(2,6)=7,(2,7)=25,(0,5)=32,(1,2)=35,(1,4)=39,(0,4)=42,(1,5)=43,(5,7)=43,(1,3)=46,(3,7)=52,(0,1)=55,(2,3)=63,(0,7)=64,(3,6)=76,(3,5)=78,(0,6)=85,(1,6)=90,(5,6)=90,(4,7)=91,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(2)=2, Find(6)=4, Add (2,6)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(2)=4, Find(7)=1, Add (2,7)=25 Succeeded, w=39\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 0, 6: 4, 7: 1}, Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=71\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 0, 6: 4, 7: 1}, Find(1)=4, Find(2)=4, Add (1,2)=35 Failed, w=71\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 0, 6: 4, 7: 1}, Find(1)=4, Find(4)=4, Add (1,4)=39 Failed, w=71\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 0, 6: 4, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 1}, Find(1)=4, Find(5)=4, Add (1,5)=43 Failed, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=43 Failed, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=3, Add (1,3)=46 Succeeded, w=159\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=52 Failed, w=159\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=55 Failed, w=159\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=63 Failed, w=159\",\"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)=64 Failed, w=159\",\"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)=76 Failed, w=159\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=78 Failed, w=159\",\"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)=85 Failed, w=159\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=90 Failed, w=159\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=90 Failed, w=159\",\"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)=91 Failed, w=159\",\"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)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,81],[0,2,62],[0,5,72],[0,6,80],[1,2,78],[1,4,35],[1,5,28],[2,3,3],[2,4,80],[2,5,62],[3,6,36],[4,5,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,81],[0,2,62],[0,5,72],[0,6,80],[1,2,78],[1,4,35],[1,5,28],[2,3,3],[2,4,80],[2,5,62],[3,6,36],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":226}",
"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],[0,2,62],[0,5,72],[0,6,80],[1,2,78],[1,4,35],[1,5,28],[2,3,3],[2,4,80],[2,5,62],[3,6,36],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (2,5)\"],\"Answer\":226}",
"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],[0,2,62],[0,5,72],[0,6,80],[1,2,78],[1,4,35],[1,5,28],[2,3,3],[2,4,80],[2,5,62],[3,6,36],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (1,5)=28, w=31\",\"Add (1,4)=35, w=66\",\"Add (3,6)=36, w=102\",\"Add (0,2)=62, w=164\",\"Add (2,5)=62, w=226\"],\"Answer\":226}",
"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],[0,2,62],[0,5,72],[0,6,80],[1,2,78],[1,4,35],[1,5,28],[2,3,3],[2,4,80],[2,5,62],[3,6,36],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (1,5)=28 Succeeded, w=31\",\"Add (1,4)=35 Succeeded, w=66\",\"Add (3,6)=36 Succeeded, w=102\",\"Add (4,5)=43 Failed, w=102\",\"Add (0,2)=62 Succeeded, w=164\",\"Add (2,5)=62 Succeeded, w=226\",\"Add (0,5)=72 Failed, w=226\",\"Add (1,2)=78 Failed, w=226\",\"Add (0,6)=80 Failed, w=226\",\"Add (2,4)=80 Failed, w=226\",\"Add (0,1)=81 Failed, w=226\"],\"Answer\":226}",
"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],[0,2,62],[0,5,72],[0,6,80],[1,2,78],[1,4,35],[1,5,28],[2,3,3],[2,4,80],[2,5,62],[3,6,36],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,5)=28,(1,4)=35,(3,6)=36,(4,5)=43,(0,2)=62,(2,5)=62,(0,5)=72,(1,2)=78,(0,6)=80,(2,4)=80,(0,1)=81]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=28 Succeeded, w=31\",\"Find(1)=1, Find(4)=4, Add (1,4)=35 Succeeded, w=66\",\"Find(3)=2, Find(6)=6, Add (3,6)=36 Succeeded, w=102\",\"Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=102\",\"Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=164\",\"Find(2)=2, Find(5)=1, Add (2,5)=62 Succeeded, w=226\",\"Find(0)=2, Find(5)=2, Add (0,5)=72 Failed, w=226\",\"Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=226\",\"Find(0)=2, Find(6)=2, Add (0,6)=80 Failed, w=226\",\"Find(2)=2, Find(4)=2, Add (2,4)=80 Failed, w=226\",\"Find(0)=2, Find(1)=2, Add (0,1)=81 Failed, w=226\"],\"Answer\":226}",
"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],[0,2,62],[0,5,72],[0,6,80],[1,2,78],[1,4,35],[1,5,28],[2,3,3],[2,4,80],[2,5,62],[3,6,36],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,5)=28,(1,4)=35,(3,6)=36,(4,5)=43,(0,2)=62,(2,5)=62,(0,5)=72,(1,2)=78,(0,6)=80,(2,4)=80,(0,1)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=28 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=35 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=36 Succeeded, w=102\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2}, Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=102\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2}, Find(2)=2, Find(5)=1, Add (2,5)=62 Succeeded, w=226\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=72 Failed, w=226\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=226\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=80 Failed, w=226\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=80 Failed, w=226\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=81 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,43],[0,2,59],[0,4,27],[0,5,55],[0,6,57],[0,7,96],[1,2,81],[1,3,83],[1,4,85],[1,6,87],[1,7,32],[2,3,73],[2,4,96],[2,5,45],[2,6,38],[2,7,86],[3,4,74],[3,5,44],[3,6,99],[3,7,96],[4,5,94],[4,6,45],[4,7,57],[5,6,10],[5,7,47],[6,7,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,59],[0,4,27],[0,5,55],[0,6,57],[0,7,96],[1,2,81],[1,3,83],[1,4,85],[1,6,87],[1,7,32],[2,3,73],[2,4,96],[2,5,45],[2,6,38],[2,7,86],[3,4,74],[3,5,44],[3,6,99],[3,7,96],[4,5,94],[4,6,45],[4,7,57],[5,6,10],[5,7,47],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,59],[0,4,27],[0,5,55],[0,6,57],[0,7,96],[1,2,81],[1,3,83],[1,4,85],[1,6,87],[1,7,32],[2,3,73],[2,4,96],[2,5,45],[2,6,38],[2,7,86],[3,4,74],[3,5,44],[3,6,99],[3,7,96],[4,5,94],[4,6,45],[4,7,57],[5,6,10],[5,7,47],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,4)\",\"Add (1,7)\",\"Add (2,6)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (4,6)\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,59],[0,4,27],[0,5,55],[0,6,57],[0,7,96],[1,2,81],[1,3,83],[1,4,85],[1,6,87],[1,7,32],[2,3,73],[2,4,96],[2,5,45],[2,6,38],[2,7,86],[3,4,74],[3,5,44],[3,6,99],[3,7,96],[4,5,94],[4,6,45],[4,7,57],[5,6,10],[5,7,47],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=10, w=10\",\"Add (0,4)=27, w=37\",\"Add (1,7)=32, w=69\",\"Add (2,6)=38, w=107\",\"Add (0,1)=43, w=150\",\"Add (3,5)=44, w=194\",\"Add (4,6)=45, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,59],[0,4,27],[0,5,55],[0,6,57],[0,7,96],[1,2,81],[1,3,83],[1,4,85],[1,6,87],[1,7,32],[2,3,73],[2,4,96],[2,5,45],[2,6,38],[2,7,86],[3,4,74],[3,5,44],[3,6,99],[3,7,96],[4,5,94],[4,6,45],[4,7,57],[5,6,10],[5,7,47],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=10 Succeeded, w=10\",\"Add (0,4)=27 Succeeded, w=37\",\"Add (1,7)=32 Succeeded, w=69\",\"Add (2,6)=38 Succeeded, w=107\",\"Add (0,1)=43 Succeeded, w=150\",\"Add (3,5)=44 Succeeded, w=194\",\"Add (2,5)=45 Failed, w=194\",\"Add (4,6)=45 Succeeded, w=239\",\"Add (5,7)=47 Failed, w=239\",\"Add (0,5)=55 Failed, w=239\",\"Add (0,6)=57 Failed, w=239\",\"Add (4,7)=57 Failed, w=239\",\"Add (0,2)=59 Failed, w=239\",\"Add (6,7)=72 Failed, w=239\",\"Add (2,3)=73 Failed, w=239\",\"Add (3,4)=74 Failed, w=239\",\"Add (1,2)=81 Failed, w=239\",\"Add (1,3)=83 Failed, w=239\",\"Add (1,4)=85 Failed, w=239\",\"Add (2,7)=86 Failed, w=239\",\"Add (1,6)=87 Failed, w=239\",\"Add (4,5)=94 Failed, w=239\",\"Add (0,7)=96 Failed, w=239\",\"Add (2,4)=96 Failed, w=239\",\"Add (3,7)=96 Failed, w=239\",\"Add (3,6)=99 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,59],[0,4,27],[0,5,55],[0,6,57],[0,7,96],[1,2,81],[1,3,83],[1,4,85],[1,6,87],[1,7,32],[2,3,73],[2,4,96],[2,5,45],[2,6,38],[2,7,86],[3,4,74],[3,5,44],[3,6,99],[3,7,96],[4,5,94],[4,6,45],[4,7,57],[5,6,10],[5,7,47],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=10,(0,4)=27,(1,7)=32,(2,6)=38,(0,1)=43,(3,5)=44,(2,5)=45,(4,6)=45,(5,7)=47,(0,5)=55,(0,6)=57,(4,7)=57,(0,2)=59,(6,7)=72,(2,3)=73,(3,4)=74,(1,2)=81,(1,3)=83,(1,4)=85,(2,7)=86,(1,6)=87,(4,5)=94,(0,7)=96,(2,4)=96,(3,7)=96,(3,6)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=10 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=37\",\"Find(1)=1, Find(7)=7, Add (1,7)=32 Succeeded, w=69\",\"Find(2)=2, Find(6)=5, Add (2,6)=38 Succeeded, w=107\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=150\",\"Find(3)=3, Find(5)=5, Add (3,5)=44 Succeeded, w=194\",\"Find(2)=5, Find(5)=5, Add (2,5)=45 Failed, w=194\",\"Find(4)=0, Find(6)=5, Add (4,6)=45 Succeeded, w=239\",\"Find(5)=0, Find(7)=0, Add (5,7)=47 Failed, w=239\",\"Find(0)=0, Find(5)=0, Add (0,5)=55 Failed, w=239\",\"Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=239\",\"Find(4)=0, Find(7)=0, Add (4,7)=57 Failed, w=239\",\"Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=239\",\"Find(6)=0, Find(7)=0, Add (6,7)=72 Failed, w=239\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=239\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=239\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=239\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=239\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=239\",\"Find(2)=0, Find(7)=0, Add (2,7)=86 Failed, w=239\",\"Find(1)=0, Find(6)=0, Add (1,6)=87 Failed, w=239\",\"Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=239\",\"Find(0)=0, Find(7)=0, Add (0,7)=96 Failed, w=239\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=239\",\"Find(3)=0, Find(7)=0, Add (3,7)=96 Failed, w=239\",\"Find(3)=0, Find(6)=0, Add (3,6)=99 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,2,59],[0,4,27],[0,5,55],[0,6,57],[0,7,96],[1,2,81],[1,3,83],[1,4,85],[1,6,87],[1,7,32],[2,3,73],[2,4,96],[2,5,45],[2,6,38],[2,7,86],[3,4,74],[3,5,44],[3,6,99],[3,7,96],[4,5,94],[4,6,45],[4,7,57],[5,6,10],[5,7,47],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=10,(0,4)=27,(1,7)=32,(2,6)=38,(0,1)=43,(3,5)=44,(2,5)=45,(4,6)=45,(5,7)=47,(0,5)=55,(0,6)=57,(4,7)=57,(0,2)=59,(6,7)=72,(2,3)=73,(3,4)=74,(1,2)=81,(1,3)=83,(1,4)=85,(2,7)=86,(1,6)=87,(4,5)=94,(0,7)=96,(2,4)=96,(3,7)=96,(3,6)=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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=32 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 0, 5: 5, 6: 5, 7: 1}, Find(2)=2, Find(6)=5, Add (2,6)=38 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 0, 5: 5, 6: 5, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 5, 4: 0, 5: 5, 6: 5, 7: 1}, Find(3)=3, Find(5)=5, Add (3,5)=44 Succeeded, w=194\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 5, 4: 0, 5: 5, 6: 5, 7: 1}, Find(2)=5, Find(5)=5, Add (2,5)=45 Failed, w=194\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 5, 4: 0, 5: 0, 6: 5, 7: 1}, Find(4)=0, Find(6)=5, Add (4,6)=45 Succeeded, w=239\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 5, 4: 0, 5: 0, 6: 5, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=47 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 5, 4: 0, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=55 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 5, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 5, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=57 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=72 Failed, w=239\",\"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)=73 Failed, w=239\",\"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)=74 Failed, w=239\",\"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)=81 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=239\",\"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)=85 Failed, w=239\",\"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)=86 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=87 Failed, w=239\",\"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)=94 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=96 Failed, w=239\",\"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)=96 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=96 Failed, w=239\",\"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)=99 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,23],[1,2,14],[1,4,67],[1,6,24],[2,3,68],[2,6,93],[3,5,17],[3,7,22],[4,5,59],[4,6,68],[5,6,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[1,2,14],[1,4,67],[1,6,24],[2,3,68],[2,6,93],[3,5,17],[3,7,22],[4,5,59],[4,6,68],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":217}",
"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],[1,2,14],[1,4,67],[1,6,24],[2,3,68],[2,6,93],[3,5,17],[3,7,22],[4,5,59],[4,6,68],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (0,1)\",\"Add (1,6)\",\"Add (5,6)\",\"Add (4,5)\"],\"Answer\":217}",
"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],[1,2,14],[1,4,67],[1,6,24],[2,3,68],[2,6,93],[3,5,17],[3,7,22],[4,5,59],[4,6,68],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14, w=14\",\"Add (3,5)=17, w=31\",\"Add (3,7)=22, w=53\",\"Add (0,1)=23, w=76\",\"Add (1,6)=24, w=100\",\"Add (5,6)=58, w=158\",\"Add (4,5)=59, w=217\"],\"Answer\":217}",
"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],[1,2,14],[1,4,67],[1,6,24],[2,3,68],[2,6,93],[3,5,17],[3,7,22],[4,5,59],[4,6,68],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14 Succeeded, w=14\",\"Add (3,5)=17 Succeeded, w=31\",\"Add (3,7)=22 Succeeded, w=53\",\"Add (0,1)=23 Succeeded, w=76\",\"Add (1,6)=24 Succeeded, w=100\",\"Add (5,6)=58 Succeeded, w=158\",\"Add (4,5)=59 Succeeded, w=217\",\"Add (1,4)=67 Failed, w=217\",\"Add (2,3)=68 Failed, w=217\",\"Add (4,6)=68 Failed, w=217\",\"Add (2,6)=93 Failed, w=217\"],\"Answer\":217}",
"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],[1,2,14],[1,4,67],[1,6,24],[2,3,68],[2,6,93],[3,5,17],[3,7,22],[4,5,59],[4,6,68],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(3,5)=17,(3,7)=22,(0,1)=23,(1,6)=24,(5,6)=58,(4,5)=59,(1,4)=67,(2,3)=68,(4,6)=68,(2,6)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Find(3)=3, Find(5)=5, Add (3,5)=17 Succeeded, w=31\",\"Find(3)=3, Find(7)=7, Add (3,7)=22 Succeeded, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=76\",\"Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=100\",\"Find(5)=3, Find(6)=1, Add (5,6)=58 Succeeded, w=158\",\"Find(4)=4, Find(5)=3, Add (4,5)=59 Succeeded, w=217\",\"Find(1)=3, Find(4)=3, Add (1,4)=67 Failed, w=217\",\"Find(2)=3, Find(3)=3, Add (2,3)=68 Failed, w=217\",\"Find(4)=3, Find(6)=3, Add (4,6)=68 Failed, w=217\",\"Find(2)=3, Find(6)=3, Add (2,6)=93 Failed, w=217\"],\"Answer\":217}",
"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],[1,2,14],[1,4,67],[1,6,24],[2,3,68],[2,6,93],[3,5,17],[3,7,22],[4,5,59],[4,6,68],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(3,5)=17,(3,7)=22,(0,1)=23,(1,6)=24,(5,6)=58,(4,5)=59,(1,4)=67,(2,3)=68,(4,6)=68,(2,6)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=22 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1, 7: 3}, Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=100\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1, 7: 3}, Find(5)=3, Find(6)=1, Add (5,6)=58 Succeeded, w=158\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(4)=4, Find(5)=3, Add (4,5)=59 Succeeded, w=217\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=67 Failed, w=217\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=68 Failed, w=217\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=68 Failed, w=217\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=93 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,8],[0,2,76],[0,3,5],[0,4,20],[0,5,25],[0,6,81],[1,3,12],[1,4,26],[1,6,14],[2,3,89],[2,4,21],[2,5,5],[2,6,21],[3,4,36],[3,5,38],[3,6,17],[4,5,80],[4,6,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,76],[0,3,5],[0,4,20],[0,5,25],[0,6,81],[1,3,12],[1,4,26],[1,6,14],[2,3,89],[2,4,21],[2,5,5],[2,6,21],[3,4,36],[3,5,38],[3,6,17],[4,5,80],[4,6,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,76],[0,3,5],[0,4,20],[0,5,25],[0,6,81],[1,3,12],[1,4,26],[1,6,14],[2,3,89],[2,4,21],[2,5,5],[2,6,21],[3,4,36],[3,5,38],[3,6,17],[4,5,80],[4,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":73}",
"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],[0,2,76],[0,3,5],[0,4,20],[0,5,25],[0,6,81],[1,3,12],[1,4,26],[1,6,14],[2,3,89],[2,4,21],[2,5,5],[2,6,21],[3,4,36],[3,5,38],[3,6,17],[4,5,80],[4,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (2,5)=5, w=10\",\"Add (0,1)=8, w=18\",\"Add (1,6)=14, w=32\",\"Add (0,4)=20, w=52\",\"Add (2,4)=21, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,76],[0,3,5],[0,4,20],[0,5,25],[0,6,81],[1,3,12],[1,4,26],[1,6,14],[2,3,89],[2,4,21],[2,5,5],[2,6,21],[3,4,36],[3,5,38],[3,6,17],[4,5,80],[4,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (2,5)=5 Succeeded, w=10\",\"Add (0,1)=8 Succeeded, w=18\",\"Add (1,3)=12 Failed, w=18\",\"Add (1,6)=14 Succeeded, w=32\",\"Add (3,6)=17 Failed, w=32\",\"Add (0,4)=20 Succeeded, w=52\",\"Add (2,4)=21 Succeeded, w=73\",\"Add (2,6)=21 Failed, w=73\",\"Add (0,5)=25 Failed, w=73\",\"Add (1,4)=26 Failed, w=73\",\"Add (3,4)=36 Failed, w=73\",\"Add (3,5)=38 Failed, w=73\",\"Add (0,2)=76 Failed, w=73\",\"Add (4,5)=80 Failed, w=73\",\"Add (0,6)=81 Failed, w=73\",\"Add (2,3)=89 Failed, w=73\",\"Add (4,6)=90 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,76],[0,3,5],[0,4,20],[0,5,25],[0,6,81],[1,3,12],[1,4,26],[1,6,14],[2,3,89],[2,4,21],[2,5,5],[2,6,21],[3,4,36],[3,5,38],[3,6,17],[4,5,80],[4,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,5)=5,(0,1)=8,(1,3)=12,(1,6)=14,(3,6)=17,(0,4)=20,(2,4)=21,(2,6)=21,(0,5)=25,(1,4)=26,(3,4)=36,(3,5)=38,(0,2)=76,(4,5)=80,(0,6)=81,(2,3)=89,(4,6)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=18\",\"Find(1)=0, Find(3)=0, Add (1,3)=12 Failed, w=18\",\"Find(1)=0, Find(6)=6, Add (1,6)=14 Succeeded, w=32\",\"Find(3)=0, Find(6)=0, Add (3,6)=17 Failed, w=32\",\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=52\",\"Find(2)=2, Find(4)=0, Add (2,4)=21 Succeeded, w=73\",\"Find(2)=2, Find(6)=2, Add (2,6)=21 Failed, w=73\",\"Find(0)=2, Find(5)=2, Add (0,5)=25 Failed, w=73\",\"Find(1)=2, Find(4)=2, Add (1,4)=26 Failed, w=73\",\"Find(3)=2, Find(4)=2, Add (3,4)=36 Failed, w=73\",\"Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=73\",\"Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=73\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=73\",\"Find(0)=2, Find(6)=2, Add (0,6)=81 Failed, w=73\",\"Find(2)=2, Find(3)=2, Add (2,3)=89 Failed, w=73\",\"Find(4)=2, Find(6)=2, Add (4,6)=90 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,76],[0,3,5],[0,4,20],[0,5,25],[0,6,81],[1,3,12],[1,4,26],[1,6,14],[2,3,89],[2,4,21],[2,5,5],[2,6,21],[3,4,36],[3,5,38],[3,6,17],[4,5,80],[4,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,5)=5,(0,1)=8,(1,3)=12,(1,6)=14,(3,6)=17,(0,4)=20,(2,4)=21,(2,6)=21,(0,5)=25,(1,4)=26,(3,4)=36,(3,5)=38,(0,2)=76,(4,5)=80,(0,6)=81,(2,3)=89,(4,6)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=12 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=14 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=17 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=52\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=21 Succeeded, w=73\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=21 Failed, w=73\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=25 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=26 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=36 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=73\",\"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=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=81 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=89 Failed, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=90 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,65],[0,3,100],[1,2,74],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,100],[1,2,74],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,100],[1,2,74],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,100],[1,2,74],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=56, w=56\",\"Add (0,2)=65, w=121\",\"Add (1,2)=74, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,100],[1,2,74],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=56 Succeeded, w=56\",\"Add (0,2)=65 Succeeded, w=121\",\"Add (1,2)=74 Succeeded, w=195\",\"Add (0,3)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,100],[1,2,74],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=56,(0,2)=65,(1,2)=74,(0,3)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=56 Succeeded, w=56\",\"Find(0)=0, Find(2)=2, Add (0,2)=65 Succeeded, w=121\",\"Find(1)=1, Find(2)=2, Add (1,2)=74 Succeeded, w=195\",\"Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,100],[1,2,74],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=56,(0,2)=65,(1,2)=74,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=56 Succeeded, w=56\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=65 Succeeded, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=74 Succeeded, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\"],\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13, w=13\"],\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13 Succeeded, w=13\"],\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\"],\"Answer\":13}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\"],\"Answer\":13}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,41],[0,3,23],[1,2,62],[1,4,54],[2,3,50],[2,4,53],[3,4,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,3,23],[1,2,62],[1,4,54],[2,3,50],[2,4,53],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,3,23],[1,2,62],[1,4,54],[2,3,50],[2,4,53],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,3,23],[1,2,62],[1,4,54],[2,3,50],[2,4,53],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23, w=23\",\"Add (0,1)=41, w=64\",\"Add (2,3)=50, w=114\",\"Add (2,4)=53, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,3,23],[1,2,62],[1,4,54],[2,3,50],[2,4,53],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23 Succeeded, w=23\",\"Add (0,1)=41 Succeeded, w=64\",\"Add (2,3)=50 Succeeded, w=114\",\"Add (2,4)=53 Succeeded, w=167\",\"Add (1,4)=54 Failed, w=167\",\"Add (1,2)=62 Failed, w=167\",\"Add (3,4)=95 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,3,23],[1,2,62],[1,4,54],[2,3,50],[2,4,53],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,1)=41,(2,3)=50,(2,4)=53,(1,4)=54,(1,2)=62,(3,4)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=64\",\"Find(2)=2, Find(3)=0, Add (2,3)=50 Succeeded, w=114\",\"Find(2)=0, Find(4)=4, Add (2,4)=53 Succeeded, w=167\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=167\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=167\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,3,23],[1,2,62],[1,4,54],[2,3,50],[2,4,53],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,1)=41,(2,3)=50,(2,4)=53,(1,4)=54,(1,2)=62,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=50 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=53 Succeeded, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,16],[0,2,53],[0,5,94],[1,2,33],[1,3,22],[1,4,70],[1,5,68],[2,3,5],[2,5,63],[3,4,29],[4,5,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,53],[0,5,94],[1,2,33],[1,3,22],[1,4,70],[1,5,68],[2,3,5],[2,5,63],[3,4,29],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,53],[0,5,94],[1,2,33],[1,3,22],[1,4,70],[1,5,68],[2,3,5],[2,5,63],[3,4,29],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (3,4)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,53],[0,5,94],[1,2,33],[1,3,22],[1,4,70],[1,5,68],[2,3,5],[2,5,63],[3,4,29],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (0,1)=16, w=21\",\"Add (1,3)=22, w=43\",\"Add (4,5)=28, w=71\",\"Add (3,4)=29, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,53],[0,5,94],[1,2,33],[1,3,22],[1,4,70],[1,5,68],[2,3,5],[2,5,63],[3,4,29],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,1)=16 Succeeded, w=21\",\"Add (1,3)=22 Succeeded, w=43\",\"Add (4,5)=28 Succeeded, w=71\",\"Add (3,4)=29 Succeeded, w=100\",\"Add (1,2)=33 Failed, w=100\",\"Add (0,2)=53 Failed, w=100\",\"Add (2,5)=63 Failed, w=100\",\"Add (1,5)=68 Failed, w=100\",\"Add (1,4)=70 Failed, w=100\",\"Add (0,5)=94 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,53],[0,5,94],[1,2,33],[1,3,22],[1,4,70],[1,5,68],[2,3,5],[2,5,63],[3,4,29],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,1)=16,(1,3)=22,(4,5)=28,(3,4)=29,(1,2)=33,(0,2)=53,(2,5)=63,(1,5)=68,(1,4)=70,(0,5)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=21\",\"Find(1)=0, Find(3)=2, Add (1,3)=22 Succeeded, w=43\",\"Find(4)=4, Find(5)=5, Add (4,5)=28 Succeeded, w=71\",\"Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=100\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=100\",\"Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=100\",\"Find(1)=0, Find(5)=0, Add (1,5)=68 Failed, w=100\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=100\",\"Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,16],[0,2,53],[0,5,94],[1,2,33],[1,3,22],[1,4,70],[1,5,68],[2,3,5],[2,5,63],[3,4,29],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,1)=16,(1,3)=22,(4,5)=28,(3,4)=29,(1,2)=33,(0,2)=53,(2,5)=63,(1,5)=68,(1,4)=70,(0,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 5}, Find(1)=0, Find(3)=2, Add (1,3)=22 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=28 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=68 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,12],[0,3,20],[0,4,35],[0,5,3],[1,2,9],[1,3,98],[1,4,47],[1,5,10],[2,3,41],[2,4,67],[2,5,98],[3,4,17],[3,5,90],[4,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,3,20],[0,4,35],[0,5,3],[1,2,9],[1,3,98],[1,4,47],[1,5,10],[2,3,41],[2,4,67],[2,5,98],[3,4,17],[3,5,90],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,3,20],[0,4,35],[0,5,3],[1,2,9],[1,3,98],[1,4,47],[1,5,10],[2,3,41],[2,4,67],[2,5,98],[3,4,17],[3,5,90],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,3,20],[0,4,35],[0,5,3],[1,2,9],[1,3,98],[1,4,47],[1,5,10],[2,3,41],[2,4,67],[2,5,98],[3,4,17],[3,5,90],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (1,2)=9, w=12\",\"Add (1,5)=10, w=22\",\"Add (3,4)=17, w=39\",\"Add (0,3)=20, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,3,20],[0,4,35],[0,5,3],[1,2,9],[1,3,98],[1,4,47],[1,5,10],[2,3,41],[2,4,67],[2,5,98],[3,4,17],[3,5,90],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (1,2)=9 Succeeded, w=12\",\"Add (1,5)=10 Succeeded, w=22\",\"Add (0,1)=12 Failed, w=22\",\"Add (3,4)=17 Succeeded, w=39\",\"Add (0,3)=20 Succeeded, w=59\",\"Add (0,4)=35 Failed, w=59\",\"Add (2,3)=41 Failed, w=59\",\"Add (1,4)=47 Failed, w=59\",\"Add (2,4)=67 Failed, w=59\",\"Add (3,5)=90 Failed, w=59\",\"Add (4,5)=96 Failed, w=59\",\"Add (1,3)=98 Failed, w=59\",\"Add (2,5)=98 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,3,20],[0,4,35],[0,5,3],[1,2,9],[1,3,98],[1,4,47],[1,5,10],[2,3,41],[2,4,67],[2,5,98],[3,4,17],[3,5,90],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,2)=9,(1,5)=10,(0,1)=12,(3,4)=17,(0,3)=20,(0,4)=35,(2,3)=41,(1,4)=47,(2,4)=67,(3,5)=90,(4,5)=96,(1,3)=98,(2,5)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=12\",\"Find(1)=1, Find(5)=0, Add (1,5)=10 Succeeded, w=22\",\"Find(0)=1, Find(1)=1, Add (0,1)=12 Failed, w=22\",\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=39\",\"Find(0)=1, Find(3)=3, Add (0,3)=20 Succeeded, w=59\",\"Find(0)=1, Find(4)=1, Add (0,4)=35 Failed, w=59\",\"Find(2)=1, Find(3)=1, Add (2,3)=41 Failed, w=59\",\"Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=59\",\"Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=59\",\"Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=59\",\"Find(4)=1, Find(5)=1, Add (4,5)=96 Failed, w=59\",\"Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=59\",\"Find(2)=1, Find(5)=1, Add (2,5)=98 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,3,20],[0,4,35],[0,5,3],[1,2,9],[1,3,98],[1,4,47],[1,5,10],[2,3,41],[2,4,67],[2,5,98],[3,4,17],[3,5,90],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,2)=9,(1,5)=10,(0,1)=12,(3,4)=17,(0,3)=20,(0,4)=35,(2,3)=41,(1,4)=47,(2,4)=67,(3,5)=90,(4,5)=96,(1,3)=98,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=10 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0}, Find(0)=1, Find(1)=1, Add (0,1)=12 Failed, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 0}, Find(0)=1, Find(3)=3, Add (0,3)=20 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(0)=1, Find(4)=1, Add (0,4)=35 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(3)=1, Add (2,3)=41 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=96 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=98 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,0],[0,2,23],[0,3,6],[0,4,30],[1,2,52],[1,3,29],[1,4,16],[2,3,73],[2,4,40],[3,4,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,23],[0,3,6],[0,4,30],[1,2,52],[1,3,29],[1,4,16],[2,3,73],[2,4,40],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,23],[0,3,6],[0,4,30],[1,2,52],[1,3,29],[1,4,16],[2,3,73],[2,4,40],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,23],[0,3,6],[0,4,30],[1,2,52],[1,3,29],[1,4,16],[2,3,73],[2,4,40],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (0,3)=6, w=6\",\"Add (1,4)=16, w=22\",\"Add (0,2)=23, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,23],[0,3,6],[0,4,30],[1,2,52],[1,3,29],[1,4,16],[2,3,73],[2,4,40],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (0,3)=6 Succeeded, w=6\",\"Add (1,4)=16 Succeeded, w=22\",\"Add (0,2)=23 Succeeded, w=45\",\"Add (3,4)=24 Failed, w=45\",\"Add (1,3)=29 Failed, w=45\",\"Add (0,4)=30 Failed, w=45\",\"Add (2,4)=40 Failed, w=45\",\"Add (1,2)=52 Failed, w=45\",\"Add (2,3)=73 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,23],[0,3,6],[0,4,30],[1,2,52],[1,3,29],[1,4,16],[2,3,73],[2,4,40],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,3)=6,(1,4)=16,(0,2)=23,(3,4)=24,(1,3)=29,(0,4)=30,(2,4)=40,(1,2)=52,(2,3)=73]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(1)=0, Find(4)=4, Add (1,4)=16 Succeeded, w=22\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=45\",\"Find(3)=0, Find(4)=0, Add (3,4)=24 Failed, w=45\",\"Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=45\",\"Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=45\",\"Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=45\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=45\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,0],[0,2,23],[0,3,6],[0,4,30],[1,2,52],[1,3,29],[1,4,16],[2,3,73],[2,4,40],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,3)=6,(1,4)=16,(0,2)=23,(3,4)=24,(1,3)=29,(0,4)=30,(2,4)=40,(1,2)=52,(2,3)=73]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=16 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=24 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,25],[0,2,13],[0,3,53],[2,3,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,13],[0,3,53],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,13],[0,3,53],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,13],[0,3,53],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (0,1)=25, w=38\",\"Add (0,3)=53, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,13],[0,3,53],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (0,1)=25 Succeeded, w=38\",\"Add (0,3)=53 Succeeded, w=91\",\"Add (2,3)=64 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,13],[0,3,53],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(0,1)=25,(0,3)=53,(2,3)=64]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=38\",\"Find(0)=0, Find(3)=3, Add (0,3)=53 Succeeded, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,13],[0,3,53],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(0,1)=25,(0,3)=53,(2,3)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, 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(3)=3, Add (0,3)=53 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,10],[0,2,48],[0,3,99],[0,5,82],[0,6,13],[1,2,41],[1,4,49],[1,5,78],[1,6,66],[2,3,59],[2,4,17],[2,6,63],[3,4,2],[3,6,60],[4,6,33],[5,6,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,48],[0,3,99],[0,5,82],[0,6,13],[1,2,41],[1,4,49],[1,5,78],[1,6,66],[2,3,59],[2,4,17],[2,6,63],[3,4,2],[3,6,60],[4,6,33],[5,6,47]]}",
"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\":[[0,1,10],[0,2,48],[0,3,99],[0,5,82],[0,6,13],[1,2,41],[1,4,49],[1,5,78],[1,6,66],[2,3,59],[2,4,17],[2,6,63],[3,4,2],[3,6,60],[4,6,33],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (4,6)\",\"Add (5,6)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,48],[0,3,99],[0,5,82],[0,6,13],[1,2,41],[1,4,49],[1,5,78],[1,6,66],[2,3,59],[2,4,17],[2,6,63],[3,4,2],[3,6,60],[4,6,33],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (0,1)=10, w=12\",\"Add (0,6)=13, w=25\",\"Add (2,4)=17, w=42\",\"Add (4,6)=33, w=75\",\"Add (5,6)=47, 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\":[[0,1,10],[0,2,48],[0,3,99],[0,5,82],[0,6,13],[1,2,41],[1,4,49],[1,5,78],[1,6,66],[2,3,59],[2,4,17],[2,6,63],[3,4,2],[3,6,60],[4,6,33],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,1)=10 Succeeded, w=12\",\"Add (0,6)=13 Succeeded, w=25\",\"Add (2,4)=17 Succeeded, w=42\",\"Add (4,6)=33 Succeeded, w=75\",\"Add (1,2)=41 Failed, w=75\",\"Add (5,6)=47 Succeeded, w=122\",\"Add (0,2)=48 Failed, w=122\",\"Add (1,4)=49 Failed, w=122\",\"Add (2,3)=59 Failed, w=122\",\"Add (3,6)=60 Failed, w=122\",\"Add (2,6)=63 Failed, w=122\",\"Add (1,6)=66 Failed, w=122\",\"Add (1,5)=78 Failed, w=122\",\"Add (0,5)=82 Failed, w=122\",\"Add (0,3)=99 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\":[[0,1,10],[0,2,48],[0,3,99],[0,5,82],[0,6,13],[1,2,41],[1,4,49],[1,5,78],[1,6,66],[2,3,59],[2,4,17],[2,6,63],[3,4,2],[3,6,60],[4,6,33],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,1)=10,(0,6)=13,(2,4)=17,(4,6)=33,(1,2)=41,(5,6)=47,(0,2)=48,(1,4)=49,(2,3)=59,(3,6)=60,(2,6)=63,(1,6)=66,(1,5)=78,(0,5)=82,(0,3)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=12\",\"Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=25\",\"Find(2)=2, Find(4)=3, Add (2,4)=17 Succeeded, w=42\",\"Find(4)=3, Find(6)=0, Add (4,6)=33 Succeeded, w=75\",\"Find(1)=3, Find(2)=3, Add (1,2)=41 Failed, w=75\",\"Find(5)=5, Find(6)=3, Add (5,6)=47 Succeeded, w=122\",\"Find(0)=3, Find(2)=3, Add (0,2)=48 Failed, w=122\",\"Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=122\",\"Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=122\",\"Find(3)=3, Find(6)=3, Add (3,6)=60 Failed, w=122\",\"Find(2)=3, Find(6)=3, Add (2,6)=63 Failed, w=122\",\"Find(1)=3, Find(6)=3, Add (1,6)=66 Failed, w=122\",\"Find(1)=3, Find(5)=3, Add (1,5)=78 Failed, w=122\",\"Find(0)=3, Find(5)=3, Add (0,5)=82 Failed, w=122\",\"Find(0)=3, Find(3)=3, Add (0,3)=99 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\":[[0,1,10],[0,2,48],[0,3,99],[0,5,82],[0,6,13],[1,2,41],[1,4,49],[1,5,78],[1,6,66],[2,3,59],[2,4,17],[2,6,63],[3,4,2],[3,6,60],[4,6,33],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,1)=10,(0,6)=13,(2,4)=17,(4,6)=33,(1,2)=41,(5,6)=47,(0,2)=48,(1,4)=49,(2,3)=59,(3,6)=60,(2,6)=63,(1,6)=66,(1,5)=78,(0,5)=82,(0,3)=99]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 0}, Find(2)=2, Find(4)=3, Add (2,4)=17 Succeeded, w=42\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 0}, Find(4)=3, Find(6)=0, Add (4,6)=33 Succeeded, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 0}, Find(1)=3, Find(2)=3, Add (1,2)=41 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=47 Succeeded, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=48 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=59 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=60 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=63 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=66 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=78 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=82 Failed, w=122\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=99 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,2,58],[0,3,38],[0,4,99],[1,2,73],[1,3,56],[1,4,93],[2,3,58],[2,4,34],[3,4,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,58],[0,3,38],[0,4,99],[1,2,73],[1,3,56],[1,4,93],[2,3,58],[2,4,34],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,58],[0,3,38],[0,4,99],[1,2,73],[1,3,56],[1,4,93],[2,3,58],[2,4,34],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,58],[0,3,38],[0,4,99],[1,2,73],[1,3,56],[1,4,93],[2,3,58],[2,4,34],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (2,4)=34, w=40\",\"Add (0,3)=38, w=78\",\"Add (3,4)=55, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,58],[0,3,38],[0,4,99],[1,2,73],[1,3,56],[1,4,93],[2,3,58],[2,4,34],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (2,4)=34 Succeeded, w=40\",\"Add (0,3)=38 Succeeded, w=78\",\"Add (3,4)=55 Succeeded, w=133\",\"Add (1,3)=56 Failed, w=133\",\"Add (0,2)=58 Failed, w=133\",\"Add (2,3)=58 Failed, w=133\",\"Add (1,2)=73 Failed, w=133\",\"Add (1,4)=93 Failed, w=133\",\"Add (0,4)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,58],[0,3,38],[0,4,99],[1,2,73],[1,3,56],[1,4,93],[2,3,58],[2,4,34],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(2,4)=34,(0,3)=38,(3,4)=55,(1,3)=56,(0,2)=58,(2,3)=58,(1,2)=73,(1,4)=93,(0,4)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=40\",\"Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=78\",\"Find(3)=0, Find(4)=2, Add (3,4)=55 Succeeded, w=133\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=133\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=133\",\"Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=133\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=133\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=133\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,58],[0,3,38],[0,4,99],[1,2,73],[1,3,56],[1,4,93],[2,3,58],[2,4,34],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(2,4)=34,(0,3)=38,(3,4)=55,(1,3)=56,(0,2)=58,(2,3)=58,(1,2)=73,(1,4)=93,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(3)=0, Find(4)=2, Add (3,4)=55 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,24],[0,2,97],[0,5,20],[1,2,100],[1,4,71],[2,3,31],[2,5,64],[3,4,16],[3,5,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,97],[0,5,20],[1,2,100],[1,4,71],[2,3,31],[2,5,64],[3,4,16],[3,5,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,97],[0,5,20],[1,2,100],[1,4,71],[2,3,31],[2,5,64],[3,4,16],[3,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (2,5)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,97],[0,5,20],[1,2,100],[1,4,71],[2,3,31],[2,5,64],[3,4,16],[3,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16, w=16\",\"Add (0,5)=20, w=36\",\"Add (0,1)=24, w=60\",\"Add (2,3)=31, w=91\",\"Add (2,5)=64, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,97],[0,5,20],[1,2,100],[1,4,71],[2,3,31],[2,5,64],[3,4,16],[3,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16 Succeeded, w=16\",\"Add (0,5)=20 Succeeded, w=36\",\"Add (0,1)=24 Succeeded, w=60\",\"Add (2,3)=31 Succeeded, w=91\",\"Add (2,5)=64 Succeeded, w=155\",\"Add (1,4)=71 Failed, w=155\",\"Add (3,5)=92 Failed, w=155\",\"Add (0,2)=97 Failed, w=155\",\"Add (1,2)=100 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,97],[0,5,20],[1,2,100],[1,4,71],[2,3,31],[2,5,64],[3,4,16],[3,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(0,5)=20,(0,1)=24,(2,3)=31,(2,5)=64,(1,4)=71,(3,5)=92,(0,2)=97,(1,2)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=36\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=60\",\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=91\",\"Find(2)=3, Find(5)=0, Add (2,5)=64 Succeeded, w=155\",\"Find(1)=3, Find(4)=3, Add (1,4)=71 Failed, w=155\",\"Find(3)=3, Find(5)=3, Add (3,5)=92 Failed, w=155\",\"Find(0)=3, Find(2)=3, Add (0,2)=97 Failed, w=155\",\"Find(1)=3, Find(2)=3, Add (1,2)=100 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,97],[0,5,20],[1,2,100],[1,4,71],[2,3,31],[2,5,64],[3,4,16],[3,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(0,5)=20,(0,1)=24,(2,3)=31,(2,5)=64,(1,4)=71,(3,5)=92,(0,2)=97,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=91\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0}, Find(2)=3, Find(5)=0, Add (2,5)=64 Succeeded, w=155\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=3, Find(4)=3, Add (1,4)=71 Failed, w=155\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=92 Failed, w=155\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=97 Failed, w=155\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=100 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,14],[0,3,95],[1,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,95],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,95],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,95],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (1,3)=45, w=59\",\"Add (0,3)=95, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,95],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (1,3)=45 Succeeded, w=59\",\"Add (0,3)=95 Succeeded, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,95],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(1,3)=45,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=59\",\"Find(0)=0, Find(3)=1, Add (0,3)=95 Succeeded, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,14],[0,3,95],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(1,3)=45,(0,3)=95]\",\"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: 1}, Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=95 Succeeded, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,23],[0,3,96],[0,4,14],[1,3,83],[1,4,21],[1,5,11],[1,6,44],[2,4,63],[2,6,78],[3,6,65],[4,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,3,96],[0,4,14],[1,3,83],[1,4,21],[1,5,11],[1,6,44],[2,4,63],[2,6,78],[3,6,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,3,96],[0,4,14],[1,3,83],[1,4,21],[1,5,11],[1,6,44],[2,4,63],[2,6,78],[3,6,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (3,6)\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,3,96],[0,4,14],[1,3,83],[1,4,21],[1,5,11],[1,6,44],[2,4,63],[2,6,78],[3,6,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11, w=11\",\"Add (0,4)=14, w=25\",\"Add (1,4)=21, w=46\",\"Add (1,6)=44, w=90\",\"Add (2,4)=63, w=153\",\"Add (3,6)=65, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,3,96],[0,4,14],[1,3,83],[1,4,21],[1,5,11],[1,6,44],[2,4,63],[2,6,78],[3,6,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11 Succeeded, w=11\",\"Add (0,4)=14 Succeeded, w=25\",\"Add (1,4)=21 Succeeded, w=46\",\"Add (0,1)=23 Failed, w=46\",\"Add (1,6)=44 Succeeded, w=90\",\"Add (2,4)=63 Succeeded, w=153\",\"Add (3,6)=65 Succeeded, w=218\",\"Add (2,6)=78 Failed, w=218\",\"Add (1,3)=83 Failed, w=218\",\"Add (0,3)=96 Failed, w=218\",\"Add (4,5)=96 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,3,96],[0,4,14],[1,3,83],[1,4,21],[1,5,11],[1,6,44],[2,4,63],[2,6,78],[3,6,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(0,4)=14,(1,4)=21,(0,1)=23,(1,6)=44,(2,4)=63,(3,6)=65,(2,6)=78,(1,3)=83,(0,3)=96,(4,5)=96]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=25\",\"Find(1)=1, Find(4)=0, Add (1,4)=21 Succeeded, w=46\",\"Find(0)=1, Find(1)=1, Add (0,1)=23 Failed, w=46\",\"Find(1)=1, Find(6)=6, Add (1,6)=44 Succeeded, w=90\",\"Find(2)=2, Find(4)=1, Add (2,4)=63 Succeeded, w=153\",\"Find(3)=3, Find(6)=1, Add (3,6)=65 Succeeded, w=218\",\"Find(2)=1, Find(6)=1, Add (2,6)=78 Failed, w=218\",\"Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=218\",\"Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=218\",\"Find(4)=1, Find(5)=1, Add (4,5)=96 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,3,96],[0,4,14],[1,3,83],[1,4,21],[1,5,11],[1,6,44],[2,4,63],[2,6,78],[3,6,65],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(0,4)=14,(1,4)=21,(0,1)=23,(1,6)=44,(2,4)=63,(3,6)=65,(2,6)=78,(1,3)=83,(0,3)=96,(4,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 6}, Find(1)=1, Find(4)=0, Add (1,4)=21 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 6}, Find(0)=1, Find(1)=1, Add (0,1)=23 Failed, w=46\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=44 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(4)=1, Add (2,4)=63 Succeeded, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=65 Succeeded, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=78 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=96 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,50],[0,3,72],[0,4,88],[1,4,81],[2,3,58],[2,4,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,3,72],[0,4,88],[1,4,81],[2,3,58],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,3,72],[0,4,88],[1,4,81],[2,3,58],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,3,72],[0,4,88],[1,4,81],[2,3,58],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=50, w=50\",\"Add (2,3)=58, w=108\",\"Add (2,4)=68, w=176\",\"Add (0,3)=72, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,3,72],[0,4,88],[1,4,81],[2,3,58],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=50 Succeeded, w=50\",\"Add (2,3)=58 Succeeded, w=108\",\"Add (2,4)=68 Succeeded, w=176\",\"Add (0,3)=72 Succeeded, w=248\",\"Add (1,4)=81 Failed, w=248\",\"Add (0,4)=88 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,3,72],[0,4,88],[1,4,81],[2,3,58],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=50,(2,3)=58,(2,4)=68,(0,3)=72,(1,4)=81,(0,4)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=50\",\"Find(2)=2, Find(3)=3, Add (2,3)=58 Succeeded, w=108\",\"Find(2)=2, Find(4)=4, Add (2,4)=68 Succeeded, w=176\",\"Find(0)=0, Find(3)=2, Add (0,3)=72 Succeeded, w=248\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=248\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,3,72],[0,4,88],[1,4,81],[2,3,58],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=50,(2,3)=58,(2,4)=68,(0,3)=72,(1,4)=81,(0,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=58 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=68 Succeeded, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=72 Succeeded, w=248\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=248\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,98],[0,2,14],[1,2,92],[1,3,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,14],[1,2,92],[1,3,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,14],[1,2,92],[1,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,14],[1,2,92],[1,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (1,3)=77, w=91\",\"Add (1,2)=92, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,14],[1,2,92],[1,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (1,3)=77 Succeeded, w=91\",\"Add (1,2)=92 Succeeded, w=183\",\"Add (0,1)=98 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,14],[1,2,92],[1,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(1,3)=77,(1,2)=92,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=77 Succeeded, w=91\",\"Find(1)=1, Find(2)=0, Add (1,2)=92 Succeeded, w=183\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,14],[1,2,92],[1,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(1,3)=77,(1,2)=92,(0,1)=98]\",\"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: 1}, Find(1)=1, Find(3)=3, Add (1,3)=77 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=92 Succeeded, w=183\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,2,17],[0,3,33],[0,4,84],[1,2,40],[1,3,6],[1,4,81],[2,3,62],[2,4,21],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,17],[0,3,33],[0,4,84],[1,2,40],[1,3,6],[1,4,81],[2,3,62],[2,4,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,17],[0,3,33],[0,4,84],[1,2,40],[1,3,6],[1,4,81],[2,3,62],[2,4,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,17],[0,3,33],[0,4,84],[1,2,40],[1,3,6],[1,4,81],[2,3,62],[2,4,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (1,3)=6, w=12\",\"Add (0,2)=17, w=29\",\"Add (2,4)=21, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,17],[0,3,33],[0,4,84],[1,2,40],[1,3,6],[1,4,81],[2,3,62],[2,4,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (1,3)=6 Succeeded, w=12\",\"Add (0,2)=17 Succeeded, w=29\",\"Add (2,4)=21 Succeeded, w=50\",\"Add (0,3)=33 Failed, w=50\",\"Add (3,4)=34 Failed, w=50\",\"Add (1,2)=40 Failed, w=50\",\"Add (2,3)=62 Failed, w=50\",\"Add (1,4)=81 Failed, w=50\",\"Add (0,4)=84 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,17],[0,3,33],[0,4,84],[1,2,40],[1,3,6],[1,4,81],[2,3,62],[2,4,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,3)=6,(0,2)=17,(2,4)=21,(0,3)=33,(3,4)=34,(1,2)=40,(2,3)=62,(1,4)=81,(0,4)=84]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(1)=0, Find(3)=3, Add (1,3)=6 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=29\",\"Find(2)=0, Find(4)=4, Add (2,4)=21 Succeeded, w=50\",\"Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=50\",\"Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=50\",\"Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=50\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=50\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=50\",\"Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,17],[0,3,33],[0,4,84],[1,2,40],[1,3,6],[1,4,81],[2,3,62],[2,4,21],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,3)=6,(0,2)=17,(2,4)=21,(0,3)=33,(3,4)=34,(1,2)=40,(2,3)=62,(1,4)=81,(0,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=21 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,10],[0,5,58],[1,2,75],[1,3,38],[1,4,97],[1,5,12],[2,4,44],[2,5,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,5,58],[1,2,75],[1,3,38],[1,4,97],[1,5,12],[2,4,44],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,5,58],[1,2,75],[1,3,38],[1,4,97],[1,5,12],[2,4,44],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,5,58],[1,2,75],[1,3,38],[1,4,97],[1,5,12],[2,4,44],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (1,5)=12, w=22\",\"Add (1,3)=38, w=60\",\"Add (2,4)=44, w=104\",\"Add (0,5)=58, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,5,58],[1,2,75],[1,3,38],[1,4,97],[1,5,12],[2,4,44],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (1,5)=12 Succeeded, w=22\",\"Add (1,3)=38 Succeeded, w=60\",\"Add (2,4)=44 Succeeded, w=104\",\"Add (0,5)=58 Succeeded, w=162\",\"Add (2,5)=64 Failed, w=162\",\"Add (1,2)=75 Failed, w=162\",\"Add (1,4)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,5,58],[1,2,75],[1,3,38],[1,4,97],[1,5,12],[2,4,44],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(1,5)=12,(1,3)=38,(2,4)=44,(0,5)=58,(2,5)=64,(1,2)=75,(1,4)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=60\",\"Find(2)=0, Find(4)=4, Add (2,4)=44 Succeeded, w=104\",\"Find(0)=0, Find(5)=1, Add (0,5)=58 Succeeded, w=162\",\"Find(2)=0, Find(5)=0, Add (2,5)=64 Failed, w=162\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=162\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,10],[0,5,58],[1,2,75],[1,3,38],[1,4,97],[1,5,12],[2,4,44],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(1,5)=12,(1,3)=38,(2,4)=44,(0,5)=58,(2,5)=64,(1,2)=75,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 1}, Find(2)=0, Find(4)=4, Add (2,4)=44 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=58 Succeeded, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=64 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,1],[0,3,20],[0,4,7],[1,2,88],[1,3,21],[2,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,20],[0,4,7],[1,2,88],[1,3,21],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,20],[0,4,7],[1,2,88],[1,3,21],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,20],[0,4,7],[1,2,88],[1,3,21],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (0,4)=7, w=8\",\"Add (0,3)=20, w=28\",\"Add (2,3)=52, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,20],[0,4,7],[1,2,88],[1,3,21],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (0,4)=7 Succeeded, w=8\",\"Add (0,3)=20 Succeeded, w=28\",\"Add (1,3)=21 Failed, w=28\",\"Add (2,3)=52 Succeeded, w=80\",\"Add (1,2)=88 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,20],[0,4,7],[1,2,88],[1,3,21],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,4)=7,(0,3)=20,(1,3)=21,(2,3)=52,(1,2)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=28\",\"Find(1)=0, Find(3)=0, Add (1,3)=21 Failed, w=28\",\"Find(2)=2, Find(3)=0, Add (2,3)=52 Succeeded, w=80\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,1],[0,3,20],[0,4,7],[1,2,88],[1,3,21],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,4)=7,(0,3)=20,(1,3)=21,(2,3)=52,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=21 Failed, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=52 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,3,65],[0,5,15],[1,2,55],[1,3,62],[1,4,15],[1,5,42],[2,3,25],[3,4,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,3,65],[0,5,15],[1,2,55],[1,3,62],[1,4,15],[1,5,42],[2,3,25],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,3,65],[0,5,15],[1,2,55],[1,3,62],[1,4,15],[1,5,42],[2,3,25],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,3,65],[0,5,15],[1,2,55],[1,3,62],[1,4,15],[1,5,42],[2,3,25],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=15, w=15\",\"Add (1,4)=15, w=30\",\"Add (2,3)=25, w=55\",\"Add (3,4)=39, w=94\",\"Add (1,5)=42, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,3,65],[0,5,15],[1,2,55],[1,3,62],[1,4,15],[1,5,42],[2,3,25],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=15 Succeeded, w=15\",\"Add (1,4)=15 Succeeded, w=30\",\"Add (2,3)=25 Succeeded, w=55\",\"Add (3,4)=39 Succeeded, w=94\",\"Add (1,5)=42 Succeeded, w=136\",\"Add (1,2)=55 Failed, w=136\",\"Add (0,1)=58 Failed, w=136\",\"Add (1,3)=62 Failed, w=136\",\"Add (0,3)=65 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,3,65],[0,5,15],[1,2,55],[1,3,62],[1,4,15],[1,5,42],[2,3,25],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=15,(1,4)=15,(2,3)=25,(3,4)=39,(1,5)=42,(1,2)=55,(0,1)=58,(1,3)=62,(0,3)=65]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=15\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=30\",\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=55\",\"Find(3)=2, Find(4)=1, Add (3,4)=39 Succeeded, w=94\",\"Find(1)=2, Find(5)=0, Add (1,5)=42 Succeeded, w=136\",\"Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=136\",\"Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=136\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=136\",\"Find(0)=2, Find(3)=2, Add (0,3)=65 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,3,65],[0,5,15],[1,2,55],[1,3,62],[1,4,15],[1,5,42],[2,3,25],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=15,(1,4)=15,(2,3)=25,(3,4)=39,(1,5)=42,(1,2)=55,(0,1)=58,(1,3)=62,(0,3)=65]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=55\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 0}, Find(3)=2, Find(4)=1, Add (3,4)=39 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 0}, Find(1)=2, Find(5)=0, Add (1,5)=42 Succeeded, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 0}, Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 0}, Find(0)=2, Find(1)=2, Add (0,1)=58 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 0}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 0}, Find(0)=2, Find(3)=2, Add (0,3)=65 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,18],[0,3,73],[1,3,4],[2,3,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,73],[1,3,4],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,73],[1,3,4],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"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\":[[0,1,18],[0,3,73],[1,3,4],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,1)=18, w=22\",\"Add (2,3)=61, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,73],[1,3,4],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,1)=18 Succeeded, w=22\",\"Add (2,3)=61 Succeeded, w=83\",\"Add (0,3)=73 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,73],[1,3,4],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=18,(2,3)=61,(0,3)=73]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=22\",\"Find(2)=2, Find(3)=1, Add (2,3)=61 Succeeded, w=83\",\"Find(0)=1, Find(3)=1, Add (0,3)=73 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,3,73],[1,3,4],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=18,(2,3)=61,(0,3)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=61 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=73 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,90],[0,2,9],[0,3,80],[1,2,41],[1,3,11],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,9],[0,3,80],[1,2,41],[1,3,11],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,9],[0,3,80],[1,2,41],[1,3,11],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,9],[0,3,80],[1,2,41],[1,3,11],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (1,3)=11, w=20\",\"Add (2,3)=11, w=31\"],\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,9],[0,3,80],[1,2,41],[1,3,11],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (1,3)=11 Succeeded, w=20\",\"Add (2,3)=11 Succeeded, w=31\",\"Add (1,2)=41 Failed, w=31\",\"Add (0,3)=80 Failed, w=31\",\"Add (0,1)=90 Failed, w=31\"],\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,9],[0,3,80],[1,2,41],[1,3,11],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(1,3)=11,(2,3)=11,(1,2)=41,(0,3)=80,(0,1)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=20\",\"Find(2)=0, Find(3)=1, Add (2,3)=11 Succeeded, w=31\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=31\",\"Find(0)=0, Find(3)=0, Add (0,3)=80 Failed, w=31\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=31\"],\"Answer\":31}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,2,9],[0,3,80],[1,2,41],[1,3,11],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(1,3)=11,(2,3)=11,(1,2)=41,(0,3)=80,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(2)=0, Find(3)=1, Add (2,3)=11 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=80 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=31\"],\"Answer\":31}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,27],[0,2,3],[0,3,38],[0,4,84],[1,2,7],[1,3,40],[1,4,50],[2,3,80],[2,4,57],[3,4,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,3],[0,3,38],[0,4,84],[1,2,7],[1,3,40],[1,4,50],[2,3,80],[2,4,57],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,3],[0,3,38],[0,4,84],[1,2,7],[1,3,40],[1,4,50],[2,3,80],[2,4,57],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,3],[0,3,38],[0,4,84],[1,2,7],[1,3,40],[1,4,50],[2,3,80],[2,4,57],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (3,4)=4, w=7\",\"Add (1,2)=7, w=14\",\"Add (0,3)=38, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,3],[0,3,38],[0,4,84],[1,2,7],[1,3,40],[1,4,50],[2,3,80],[2,4,57],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (3,4)=4 Succeeded, w=7\",\"Add (1,2)=7 Succeeded, w=14\",\"Add (0,1)=27 Failed, w=14\",\"Add (0,3)=38 Succeeded, w=52\",\"Add (1,3)=40 Failed, w=52\",\"Add (1,4)=50 Failed, w=52\",\"Add (2,4)=57 Failed, w=52\",\"Add (2,3)=80 Failed, w=52\",\"Add (0,4)=84 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,3],[0,3,38],[0,4,84],[1,2,7],[1,3,40],[1,4,50],[2,3,80],[2,4,57],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(3,4)=4,(1,2)=7,(0,1)=27,(0,3)=38,(1,3)=40,(1,4)=50,(2,4)=57,(2,3)=80,(0,4)=84]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=7\",\"Find(1)=1, Find(2)=0, Add (1,2)=7 Succeeded, w=14\",\"Find(0)=0, Find(1)=0, Add (0,1)=27 Failed, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=52\",\"Find(1)=0, Find(3)=0, Add (1,3)=40 Failed, w=52\",\"Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=52\",\"Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=52\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=52\",\"Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,3],[0,3,38],[0,4,84],[1,2,7],[1,3,40],[1,4,50],[2,3,80],[2,4,57],[3,4,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(3,4)=4,(1,2)=7,(0,1)=27,(0,3)=38,(1,3)=40,(1,4)=50,(2,4)=57,(2,3)=80,(0,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(1)=1, Find(2)=0, Add (1,2)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(1)=0, Add (0,1)=27 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=40 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,5],[0,3,11],[0,4,20],[1,3,92],[2,3,85],[2,5,6],[3,4,100],[4,5,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,11],[0,4,20],[1,3,92],[2,3,85],[2,5,6],[3,4,100],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,11],[0,4,20],[1,3,92],[2,3,85],[2,5,6],[3,4,100],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (4,5)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,11],[0,4,20],[1,3,92],[2,3,85],[2,5,6],[3,4,100],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (2,5)=6, w=11\",\"Add (0,3)=11, w=22\",\"Add (0,4)=20, w=42\",\"Add (4,5)=28, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,11],[0,4,20],[1,3,92],[2,3,85],[2,5,6],[3,4,100],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (2,5)=6 Succeeded, w=11\",\"Add (0,3)=11 Succeeded, w=22\",\"Add (0,4)=20 Succeeded, w=42\",\"Add (4,5)=28 Succeeded, w=70\",\"Add (2,3)=85 Failed, w=70\",\"Add (1,3)=92 Failed, w=70\",\"Add (3,4)=100 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,11],[0,4,20],[1,3,92],[2,3,85],[2,5,6],[3,4,100],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(2,5)=6,(0,3)=11,(0,4)=20,(4,5)=28,(2,3)=85,(1,3)=92,(3,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=22\",\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=42\",\"Find(4)=0, Find(5)=2, Add (4,5)=28 Succeeded, w=70\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=70\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=70\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,3,11],[0,4,20],[1,3,92],[2,3,85],[2,5,6],[3,4,100],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(2,5)=6,(0,3)=11,(0,4)=20,(4,5)=28,(2,3)=85,(1,3)=92,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(4)=0, Find(5)=2, Add (4,5)=28 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,74],[0,5,83],[1,5,90],[2,5,2],[3,4,33],[3,5,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,5,83],[1,5,90],[2,5,2],[3,4,33],[3,5,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,5,83],[1,5,90],[2,5,2],[3,4,33],[3,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (3,5)\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,5,83],[1,5,90],[2,5,2],[3,4,33],[3,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (3,4)=33, w=35\",\"Add (0,1)=74, w=109\",\"Add (0,5)=83, w=192\",\"Add (3,5)=89, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,5,83],[1,5,90],[2,5,2],[3,4,33],[3,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (3,4)=33 Succeeded, w=35\",\"Add (0,1)=74 Succeeded, w=109\",\"Add (0,5)=83 Succeeded, w=192\",\"Add (3,5)=89 Succeeded, w=281\",\"Add (1,5)=90 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,5,83],[1,5,90],[2,5,2],[3,4,33],[3,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(3,4)=33,(0,1)=74,(0,5)=83,(3,5)=89,(1,5)=90]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=109\",\"Find(0)=0, Find(5)=2, Add (0,5)=83 Succeeded, w=192\",\"Find(3)=3, Find(5)=0, Add (3,5)=89 Succeeded, w=281\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,5,83],[1,5,90],[2,5,2],[3,4,33],[3,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(3,4)=33,(0,1)=74,(0,5)=83,(3,5)=89,(1,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=83 Succeeded, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=89 Succeeded, w=281\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,94],[0,3,58],[0,4,92],[0,5,89],[0,7,37],[1,3,99],[1,4,96],[1,5,7],[1,6,27],[1,7,0],[2,4,50],[2,6,36],[2,7,63],[3,4,97],[3,6,63],[3,7,88],[4,6,83],[5,7,9],[6,7,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,58],[0,4,92],[0,5,89],[0,7,37],[1,3,99],[1,4,96],[1,5,7],[1,6,27],[1,7,0],[2,4,50],[2,6,36],[2,7,63],[3,4,97],[3,6,63],[3,7,88],[4,6,83],[5,7,9],[6,7,98]]}",
"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\":[[0,1,94],[0,3,58],[0,4,92],[0,5,89],[0,7,37],[1,3,99],[1,4,96],[1,5,7],[1,6,27],[1,7,0],[2,4,50],[2,6,36],[2,7,63],[3,4,97],[3,6,63],[3,7,88],[4,6,83],[5,7,9],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (1,5)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (0,7)\",\"Add (2,4)\",\"Add (0,3)\"],\"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\":[[0,1,94],[0,3,58],[0,4,92],[0,5,89],[0,7,37],[1,3,99],[1,4,96],[1,5,7],[1,6,27],[1,7,0],[2,4,50],[2,6,36],[2,7,63],[3,4,97],[3,6,63],[3,7,88],[4,6,83],[5,7,9],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0, w=0\",\"Add (1,5)=7, w=7\",\"Add (1,6)=27, w=34\",\"Add (2,6)=36, w=70\",\"Add (0,7)=37, w=107\",\"Add (2,4)=50, w=157\",\"Add (0,3)=58, 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\":[[0,1,94],[0,3,58],[0,4,92],[0,5,89],[0,7,37],[1,3,99],[1,4,96],[1,5,7],[1,6,27],[1,7,0],[2,4,50],[2,6,36],[2,7,63],[3,4,97],[3,6,63],[3,7,88],[4,6,83],[5,7,9],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0 Succeeded, w=0\",\"Add (1,5)=7 Succeeded, w=7\",\"Add (5,7)=9 Failed, w=7\",\"Add (1,6)=27 Succeeded, w=34\",\"Add (2,6)=36 Succeeded, w=70\",\"Add (0,7)=37 Succeeded, w=107\",\"Add (2,4)=50 Succeeded, w=157\",\"Add (0,3)=58 Succeeded, w=215\",\"Add (2,7)=63 Failed, w=215\",\"Add (3,6)=63 Failed, w=215\",\"Add (4,6)=83 Failed, w=215\",\"Add (3,7)=88 Failed, w=215\",\"Add (0,5)=89 Failed, w=215\",\"Add (0,4)=92 Failed, w=215\",\"Add (0,1)=94 Failed, w=215\",\"Add (1,4)=96 Failed, w=215\",\"Add (3,4)=97 Failed, w=215\",\"Add (6,7)=98 Failed, w=215\",\"Add (1,3)=99 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\":[[0,1,94],[0,3,58],[0,4,92],[0,5,89],[0,7,37],[1,3,99],[1,4,96],[1,5,7],[1,6,27],[1,7,0],[2,4,50],[2,6,36],[2,7,63],[3,4,97],[3,6,63],[3,7,88],[4,6,83],[5,7,9],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(1,5)=7,(5,7)=9,(1,6)=27,(2,6)=36,(0,7)=37,(2,4)=50,(0,3)=58,(2,7)=63,(3,6)=63,(4,6)=83,(3,7)=88,(0,5)=89,(0,4)=92,(0,1)=94,(1,4)=96,(3,4)=97,(6,7)=98,(1,3)=99]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(5)=1, Find(7)=1, Add (5,7)=9 Failed, w=7\",\"Find(1)=1, Find(6)=6, Add (1,6)=27 Succeeded, w=34\",\"Find(2)=2, Find(6)=1, Add (2,6)=36 Succeeded, w=70\",\"Find(0)=0, Find(7)=1, Add (0,7)=37 Succeeded, w=107\",\"Find(2)=1, Find(4)=4, Add (2,4)=50 Succeeded, w=157\",\"Find(0)=1, Find(3)=3, Add (0,3)=58 Succeeded, w=215\",\"Find(2)=1, Find(7)=1, Add (2,7)=63 Failed, w=215\",\"Find(3)=1, Find(6)=1, Add (3,6)=63 Failed, w=215\",\"Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=215\",\"Find(3)=1, Find(7)=1, Add (3,7)=88 Failed, w=215\",\"Find(0)=1, Find(5)=1, Add (0,5)=89 Failed, w=215\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=215\",\"Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=215\",\"Find(1)=1, Find(4)=1, Add (1,4)=96 Failed, w=215\",\"Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=215\",\"Find(6)=1, Find(7)=1, Add (6,7)=98 Failed, w=215\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 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\":[[0,1,94],[0,3,58],[0,4,92],[0,5,89],[0,7,37],[1,3,99],[1,4,96],[1,5,7],[1,6,27],[1,7,0],[2,4,50],[2,6,36],[2,7,63],[3,4,97],[3,6,63],[3,7,88],[4,6,83],[5,7,9],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(1,5)=7,(5,7)=9,(1,6)=27,(2,6)=36,(0,7)=37,(2,4)=50,(0,3)=58,(2,7)=63,(3,6)=63,(4,6)=83,(3,7)=88,(0,5)=89,(0,4)=92,(0,1)=94,(1,4)=96,(3,4)=97,(6,7)=98,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=9 Failed, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=6, Add (1,6)=27 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(6)=1, Add (2,6)=36 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=37 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=4, Add (2,4)=50 Succeeded, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=3, Add (0,3)=58 Succeeded, w=215\",\"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)=63 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=63 Failed, w=215\",\"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)=83 Failed, w=215\",\"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)=88 Failed, w=215\",\"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)=89 Failed, w=215\",\"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)=92 Failed, w=215\",\"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)=94 Failed, w=215\",\"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)=96 Failed, w=215\",\"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)=97 Failed, w=215\",\"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)=98 Failed, w=215\",\"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)=99 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,72],[0,2,92],[0,3,42],[1,3,73],[2,3,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,92],[0,3,42],[1,3,73],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,92],[0,3,42],[1,3,73],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,92],[0,3,42],[1,3,73],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=42, w=42\",\"Add (2,3)=43, w=85\",\"Add (0,1)=72, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,92],[0,3,42],[1,3,73],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=42 Succeeded, w=42\",\"Add (2,3)=43 Succeeded, w=85\",\"Add (0,1)=72 Succeeded, w=157\",\"Add (1,3)=73 Failed, w=157\",\"Add (0,2)=92 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,92],[0,3,42],[1,3,73],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=42,(2,3)=43,(0,1)=72,(1,3)=73,(0,2)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=42\",\"Find(2)=2, Find(3)=0, Add (2,3)=43 Succeeded, w=85\",\"Find(0)=0, Find(1)=1, Add (0,1)=72 Succeeded, w=157\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=157\",\"Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,92],[0,3,42],[1,3,73],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=42,(2,3)=43,(0,1)=72,(1,3)=73,(0,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=43 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=72 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,49],[0,3,40],[0,4,37],[1,2,67],[1,3,41],[2,3,39],[2,4,54],[3,4,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,49],[0,3,40],[0,4,37],[1,2,67],[1,3,41],[2,3,39],[2,4,54],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,49],[0,3,40],[0,4,37],[1,2,67],[1,3,41],[2,3,39],[2,4,54],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,49],[0,3,40],[0,4,37],[1,2,67],[1,3,41],[2,3,39],[2,4,54],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=37, w=37\",\"Add (2,3)=39, w=76\",\"Add (0,3)=40, w=116\",\"Add (1,3)=41, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,49],[0,3,40],[0,4,37],[1,2,67],[1,3,41],[2,3,39],[2,4,54],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=37 Succeeded, w=37\",\"Add (2,3)=39 Succeeded, w=76\",\"Add (0,3)=40 Succeeded, w=116\",\"Add (1,3)=41 Succeeded, w=157\",\"Add (0,2)=49 Failed, w=157\",\"Add (2,4)=54 Failed, w=157\",\"Add (3,4)=59 Failed, w=157\",\"Add (0,1)=66 Failed, w=157\",\"Add (1,2)=67 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,49],[0,3,40],[0,4,37],[1,2,67],[1,3,41],[2,3,39],[2,4,54],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=37,(2,3)=39,(0,3)=40,(1,3)=41,(0,2)=49,(2,4)=54,(3,4)=59,(0,1)=66,(1,2)=67]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=37 Succeeded, w=37\",\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=76\",\"Find(0)=0, Find(3)=2, Add (0,3)=40 Succeeded, w=116\",\"Find(1)=1, Find(3)=0, Add (1,3)=41 Succeeded, w=157\",\"Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=157\",\"Find(2)=0, Find(4)=0, Add (2,4)=54 Failed, w=157\",\"Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=157\",\"Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=157\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,49],[0,3,40],[0,4,37],[1,2,67],[1,3,41],[2,3,39],[2,4,54],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=37,(2,3)=39,(0,3)=40,(1,3)=41,(0,2)=49,(2,4)=54,(3,4)=59,(0,1)=66,(1,2)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=76\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(3)=2, Add (0,3)=40 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=41 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=54 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,72],[0,2,39],[0,3,90],[1,2,27],[1,3,14],[2,3,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,39],[0,3,90],[1,2,27],[1,3,14],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,39],[0,3,90],[1,2,27],[1,3,14],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,39],[0,3,90],[1,2,27],[1,3,14],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14, w=14\",\"Add (1,2)=27, w=41\",\"Add (0,2)=39, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,39],[0,3,90],[1,2,27],[1,3,14],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14 Succeeded, w=14\",\"Add (1,2)=27 Succeeded, w=41\",\"Add (2,3)=34 Failed, w=41\",\"Add (0,2)=39 Succeeded, w=80\",\"Add (0,1)=72 Failed, w=80\",\"Add (0,3)=90 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,39],[0,3,90],[1,2,27],[1,3,14],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(1,2)=27,(2,3)=34,(0,2)=39,(0,1)=72,(0,3)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=41\",\"Find(2)=1, Find(3)=1, Add (2,3)=34 Failed, w=41\",\"Find(0)=0, Find(2)=1, Add (0,2)=39 Succeeded, w=80\",\"Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=80\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,39],[0,3,90],[1,2,27],[1,3,14],[2,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(1,2)=27,(2,3)=34,(0,2)=39,(0,1)=72,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=34 Failed, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=39 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,74],[0,3,49],[1,2,4],[1,3,18],[2,3,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,3,49],[1,2,4],[1,3,18],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,3,49],[1,2,4],[1,3,18],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,3,49],[1,2,4],[1,3,18],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,2)=4, w=4\",\"Add (0,3)=49, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,3,49],[1,2,4],[1,3,18],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,2)=4 Succeeded, w=4\",\"Add (1,3)=18 Failed, w=4\",\"Add (0,3)=49 Succeeded, w=53\",\"Add (0,1)=74 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,3,49],[1,2,4],[1,3,18],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=4,(1,3)=18,(0,3)=49,(0,1)=74]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(1)=2, Find(3)=2, Add (1,3)=18 Failed, w=4\",\"Find(0)=0, Find(3)=2, Add (0,3)=49 Succeeded, w=53\",\"Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,3,49],[1,2,4],[1,3,18],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=4,(1,3)=18,(0,3)=49,(0,1)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=18 Failed, w=4\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=49 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,35],[0,5,74],[0,6,31],[1,2,80],[1,5,89],[2,3,67],[2,4,47],[2,5,61],[2,6,90],[3,4,35],[3,5,24],[3,6,3],[4,6,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,5,74],[0,6,31],[1,2,80],[1,5,89],[2,3,67],[2,4,47],[2,5,61],[2,6,90],[3,4,35],[3,5,24],[3,6,3],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,5,74],[0,6,31],[1,2,80],[1,5,89],[2,3,67],[2,4,47],[2,5,61],[2,6,90],[3,4,35],[3,5,24],[3,6,3],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,5,74],[0,6,31],[1,2,80],[1,5,89],[2,3,67],[2,4,47],[2,5,61],[2,6,90],[3,4,35],[3,5,24],[3,6,3],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3, w=3\",\"Add (3,5)=24, w=27\",\"Add (0,6)=31, w=58\",\"Add (0,2)=35, w=93\",\"Add (3,4)=35, w=128\",\"Add (1,2)=80, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,5,74],[0,6,31],[1,2,80],[1,5,89],[2,3,67],[2,4,47],[2,5,61],[2,6,90],[3,4,35],[3,5,24],[3,6,3],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3 Succeeded, w=3\",\"Add (3,5)=24 Succeeded, w=27\",\"Add (0,6)=31 Succeeded, w=58\",\"Add (0,2)=35 Succeeded, w=93\",\"Add (3,4)=35 Succeeded, w=128\",\"Add (4,6)=45 Failed, w=128\",\"Add (2,4)=47 Failed, w=128\",\"Add (2,5)=61 Failed, w=128\",\"Add (2,3)=67 Failed, w=128\",\"Add (0,5)=74 Failed, w=128\",\"Add (1,2)=80 Succeeded, w=208\",\"Add (1,5)=89 Failed, w=208\",\"Add (2,6)=90 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,5,74],[0,6,31],[1,2,80],[1,5,89],[2,3,67],[2,4,47],[2,5,61],[2,6,90],[3,4,35],[3,5,24],[3,6,3],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(3,5)=24,(0,6)=31,(0,2)=35,(3,4)=35,(4,6)=45,(2,4)=47,(2,5)=61,(2,3)=67,(0,5)=74,(1,2)=80,(1,5)=89,(2,6)=90]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(3)=3, Find(5)=5, Add (3,5)=24 Succeeded, w=27\",\"Find(0)=0, Find(6)=3, Add (0,6)=31 Succeeded, w=58\",\"Find(0)=3, Find(2)=2, Add (0,2)=35 Succeeded, w=93\",\"Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=128\",\"Find(4)=3, Find(6)=3, Add (4,6)=45 Failed, w=128\",\"Find(2)=3, Find(4)=3, Add (2,4)=47 Failed, w=128\",\"Find(2)=3, Find(5)=3, Add (2,5)=61 Failed, w=128\",\"Find(2)=3, Find(3)=3, Add (2,3)=67 Failed, w=128\",\"Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=128\",\"Find(1)=1, Find(2)=3, Add (1,2)=80 Succeeded, w=208\",\"Find(1)=3, Find(5)=3, Add (1,5)=89 Failed, w=208\",\"Find(2)=3, Find(6)=3, Add (2,6)=90 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,5,74],[0,6,31],[1,2,80],[1,5,89],[2,3,67],[2,4,47],[2,5,61],[2,6,90],[3,4,35],[3,5,24],[3,6,3],[4,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(3,5)=24,(0,6)=31,(0,2)=35,(3,4)=35,(4,6)=45,(2,4)=47,(2,5)=61,(2,3)=67,(0,5)=74,(1,2)=80,(1,5)=89,(2,6)=90]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=24 Succeeded, w=27\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=31 Succeeded, w=58\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=3, Find(2)=2, Add (0,2)=35 Succeeded, w=93\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=128\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=45 Failed, w=128\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=47 Failed, w=128\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=61 Failed, w=128\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=67 Failed, w=128\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(2)=3, Add (1,2)=80 Succeeded, w=208\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=89 Failed, w=208\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=90 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,8],[0,2,31],[0,3,35],[0,5,52],[1,2,46],[1,3,41],[1,4,70],[2,3,63],[2,5,59],[3,4,62],[3,5,12],[4,5,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,31],[0,3,35],[0,5,52],[1,2,46],[1,3,41],[1,4,70],[2,3,63],[2,5,59],[3,4,62],[3,5,12],[4,5,10]]}",
"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],\"edges\":[[0,1,8],[0,2,31],[0,3,35],[0,5,52],[1,2,46],[1,3,41],[1,4,70],[2,3,63],[2,5,59],[3,4,62],[3,5,12],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,31],[0,3,35],[0,5,52],[1,2,46],[1,3,41],[1,4,70],[2,3,63],[2,5,59],[3,4,62],[3,5,12],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (4,5)=10, w=18\",\"Add (3,5)=12, w=30\",\"Add (0,2)=31, w=61\",\"Add (0,3)=35, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,31],[0,3,35],[0,5,52],[1,2,46],[1,3,41],[1,4,70],[2,3,63],[2,5,59],[3,4,62],[3,5,12],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (4,5)=10 Succeeded, w=18\",\"Add (3,5)=12 Succeeded, w=30\",\"Add (0,2)=31 Succeeded, w=61\",\"Add (0,3)=35 Succeeded, w=96\",\"Add (1,3)=41 Failed, w=96\",\"Add (1,2)=46 Failed, w=96\",\"Add (0,5)=52 Failed, w=96\",\"Add (2,5)=59 Failed, w=96\",\"Add (3,4)=62 Failed, w=96\",\"Add (2,3)=63 Failed, w=96\",\"Add (1,4)=70 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,31],[0,3,35],[0,5,52],[1,2,46],[1,3,41],[1,4,70],[2,3,63],[2,5,59],[3,4,62],[3,5,12],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(4,5)=10,(3,5)=12,(0,2)=31,(0,3)=35,(1,3)=41,(1,2)=46,(0,5)=52,(2,5)=59,(3,4)=62,(2,3)=63,(1,4)=70]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Find(3)=3, Find(5)=4, Add (3,5)=12 Succeeded, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=61\",\"Find(0)=0, Find(3)=4, Add (0,3)=35 Succeeded, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=96\",\"Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=96\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=96\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,2,31],[0,3,35],[0,5,52],[1,2,46],[1,3,41],[1,4,70],[2,3,63],[2,5,59],[3,4,62],[3,5,12],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(4,5)=10,(3,5)=12,(0,2)=31,(0,3)=35,(1,3)=41,(1,2)=46,(0,5)=52,(2,5)=59,(3,4)=62,(2,3)=63,(1,4)=70]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=12 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4}, Find(0)=0, Find(3)=4, Add (0,3)=35 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(2)=0, Add (1,2)=46 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,89],[0,2,37],[0,3,41],[0,4,98],[0,5,84],[1,3,52],[1,4,61],[2,5,50],[3,4,9],[3,5,70],[4,5,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,37],[0,3,41],[0,4,98],[0,5,84],[1,3,52],[1,4,61],[2,5,50],[3,4,9],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,37],[0,3,41],[0,4,98],[0,5,84],[1,3,52],[1,4,61],[2,5,50],[3,4,9],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,37],[0,3,41],[0,4,98],[0,5,84],[1,3,52],[1,4,61],[2,5,50],[3,4,9],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=9, w=9\",\"Add (4,5)=34, w=43\",\"Add (0,2)=37, w=80\",\"Add (0,3)=41, w=121\",\"Add (1,3)=52, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,37],[0,3,41],[0,4,98],[0,5,84],[1,3,52],[1,4,61],[2,5,50],[3,4,9],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=9 Succeeded, w=9\",\"Add (4,5)=34 Succeeded, w=43\",\"Add (0,2)=37 Succeeded, w=80\",\"Add (0,3)=41 Succeeded, w=121\",\"Add (2,5)=50 Failed, w=121\",\"Add (1,3)=52 Succeeded, w=173\",\"Add (1,4)=61 Failed, w=173\",\"Add (3,5)=70 Failed, w=173\",\"Add (0,5)=84 Failed, w=173\",\"Add (0,1)=89 Failed, w=173\",\"Add (0,4)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,37],[0,3,41],[0,4,98],[0,5,84],[1,3,52],[1,4,61],[2,5,50],[3,4,9],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=9,(4,5)=34,(0,2)=37,(0,3)=41,(2,5)=50,(1,3)=52,(1,4)=61,(3,5)=70,(0,5)=84,(0,1)=89,(0,4)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=9\",\"Find(4)=3, Find(5)=5, Add (4,5)=34 Succeeded, w=43\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=80\",\"Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=121\",\"Find(2)=0, Find(5)=0, Add (2,5)=50 Failed, w=121\",\"Find(1)=1, Find(3)=0, Add (1,3)=52 Succeeded, w=173\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=173\",\"Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=173\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=173\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=173\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,37],[0,3,41],[0,4,98],[0,5,84],[1,3,52],[1,4,61],[2,5,50],[3,4,9],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=9,(4,5)=34,(0,2)=37,(0,3)=41,(2,5)=50,(1,3)=52,(1,4)=61,(3,5)=70,(0,5)=84,(0,1)=89,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=5, Add (4,5)=34 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=121\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=50 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=52 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,98],[0,3,9],[0,5,86],[1,2,22],[1,4,5],[1,5,75],[2,3,98],[2,4,4],[2,5,57],[2,6,10],[3,4,7],[3,5,12],[3,6,50],[4,5,29],[4,6,46],[5,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,9],[0,5,86],[1,2,22],[1,4,5],[1,5,75],[2,3,98],[2,4,4],[2,5,57],[2,6,10],[3,4,7],[3,5,12],[3,6,50],[4,5,29],[4,6,46],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,9],[0,5,86],[1,2,22],[1,4,5],[1,5,75],[2,3,98],[2,4,4],[2,5,57],[2,6,10],[3,4,7],[3,5,12],[3,6,50],[4,5,29],[4,6,46],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (3,5)\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,9],[0,5,86],[1,2,22],[1,4,5],[1,5,75],[2,3,98],[2,4,4],[2,5,57],[2,6,10],[3,4,7],[3,5,12],[3,6,50],[4,5,29],[4,6,46],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (1,4)=5, w=9\",\"Add (3,4)=7, w=16\",\"Add (0,3)=9, w=25\",\"Add (2,6)=10, w=35\",\"Add (3,5)=12, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,9],[0,5,86],[1,2,22],[1,4,5],[1,5,75],[2,3,98],[2,4,4],[2,5,57],[2,6,10],[3,4,7],[3,5,12],[3,6,50],[4,5,29],[4,6,46],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (1,4)=5 Succeeded, w=9\",\"Add (3,4)=7 Succeeded, w=16\",\"Add (0,3)=9 Succeeded, w=25\",\"Add (2,6)=10 Succeeded, w=35\",\"Add (3,5)=12 Succeeded, w=47\",\"Add (5,6)=12 Failed, w=47\",\"Add (1,2)=22 Failed, w=47\",\"Add (4,5)=29 Failed, w=47\",\"Add (4,6)=46 Failed, w=47\",\"Add (3,6)=50 Failed, w=47\",\"Add (2,5)=57 Failed, w=47\",\"Add (1,5)=75 Failed, w=47\",\"Add (0,5)=86 Failed, w=47\",\"Add (0,1)=98 Failed, w=47\",\"Add (2,3)=98 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,9],[0,5,86],[1,2,22],[1,4,5],[1,5,75],[2,3,98],[2,4,4],[2,5,57],[2,6,10],[3,4,7],[3,5,12],[3,6,50],[4,5,29],[4,6,46],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(1,4)=5,(3,4)=7,(0,3)=9,(2,6)=10,(3,5)=12,(5,6)=12,(1,2)=22,(4,5)=29,(4,6)=46,(3,6)=50,(2,5)=57,(1,5)=75,(0,5)=86,(0,1)=98,(2,3)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=2, Add (1,4)=5 Succeeded, w=9\",\"Find(3)=3, Find(4)=2, Add (3,4)=7 Succeeded, w=16\",\"Find(0)=0, Find(3)=2, Add (0,3)=9 Succeeded, w=25\",\"Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=35\",\"Find(3)=2, Find(5)=5, Add (3,5)=12 Succeeded, w=47\",\"Find(5)=2, Find(6)=2, Add (5,6)=12 Failed, w=47\",\"Find(1)=2, Find(2)=2, Add (1,2)=22 Failed, w=47\",\"Find(4)=2, Find(5)=2, Add (4,5)=29 Failed, w=47\",\"Find(4)=2, Find(6)=2, Add (4,6)=46 Failed, w=47\",\"Find(3)=2, Find(6)=2, Add (3,6)=50 Failed, w=47\",\"Find(2)=2, Find(5)=2, Add (2,5)=57 Failed, w=47\",\"Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=47\",\"Find(0)=2, Find(5)=2, Add (0,5)=86 Failed, w=47\",\"Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=47\",\"Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,3,9],[0,5,86],[1,2,22],[1,4,5],[1,5,75],[2,3,98],[2,4,4],[2,5,57],[2,6,10],[3,4,7],[3,5,12],[3,6,50],[4,5,29],[4,6,46],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(1,4)=5,(3,4)=7,(0,3)=9,(2,6)=10,(3,5)=12,(5,6)=12,(1,2)=22,(4,5)=29,(4,6)=46,(3,6)=50,(2,5)=57,(1,5)=75,(0,5)=86,(0,1)=98,(2,3)=98]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(4)=2, Add (1,4)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=3, Find(4)=2, Add (3,4)=7 Succeeded, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=9 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=10 Succeeded, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=12 Succeeded, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=12 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=22 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=29 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=46 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=50 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=57 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=86 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,82],[0,2,68],[0,3,47],[0,5,84],[1,2,89],[1,3,49],[1,4,39],[1,5,36],[2,4,85],[2,5,78],[3,4,86],[3,5,83],[4,5,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,68],[0,3,47],[0,5,84],[1,2,89],[1,3,49],[1,4,39],[1,5,36],[2,4,85],[2,5,78],[3,4,86],[3,5,83],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,68],[0,3,47],[0,5,84],[1,2,89],[1,3,49],[1,4,39],[1,5,36],[2,4,85],[2,5,78],[3,4,86],[3,5,83],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,68],[0,3,47],[0,5,84],[1,2,89],[1,3,49],[1,4,39],[1,5,36],[2,4,85],[2,5,78],[3,4,86],[3,5,83],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=36, w=36\",\"Add (4,5)=37, w=73\",\"Add (0,3)=47, w=120\",\"Add (1,3)=49, w=169\",\"Add (0,2)=68, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,68],[0,3,47],[0,5,84],[1,2,89],[1,3,49],[1,4,39],[1,5,36],[2,4,85],[2,5,78],[3,4,86],[3,5,83],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=36 Succeeded, w=36\",\"Add (4,5)=37 Succeeded, w=73\",\"Add (1,4)=39 Failed, w=73\",\"Add (0,3)=47 Succeeded, w=120\",\"Add (1,3)=49 Succeeded, w=169\",\"Add (0,2)=68 Succeeded, w=237\",\"Add (2,5)=78 Failed, w=237\",\"Add (0,1)=82 Failed, w=237\",\"Add (3,5)=83 Failed, w=237\",\"Add (0,5)=84 Failed, w=237\",\"Add (2,4)=85 Failed, w=237\",\"Add (3,4)=86 Failed, w=237\",\"Add (1,2)=89 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,68],[0,3,47],[0,5,84],[1,2,89],[1,3,49],[1,4,39],[1,5,36],[2,4,85],[2,5,78],[3,4,86],[3,5,83],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=36,(4,5)=37,(1,4)=39,(0,3)=47,(1,3)=49,(0,2)=68,(2,5)=78,(0,1)=82,(3,5)=83,(0,5)=84,(2,4)=85,(3,4)=86,(1,2)=89]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=36 Succeeded, w=36\",\"Find(4)=4, Find(5)=1, Add (4,5)=37 Succeeded, w=73\",\"Find(1)=1, Find(4)=1, Add (1,4)=39 Failed, w=73\",\"Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=120\",\"Find(1)=1, Find(3)=0, Add (1,3)=49 Succeeded, w=169\",\"Find(0)=1, Find(2)=2, Add (0,2)=68 Succeeded, w=237\",\"Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=237\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=237\",\"Find(3)=1, Find(5)=1, Add (3,5)=83 Failed, w=237\",\"Find(0)=1, Find(5)=1, Add (0,5)=84 Failed, w=237\",\"Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=237\",\"Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=237\",\"Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,68],[0,3,47],[0,5,84],[1,2,89],[1,3,49],[1,4,39],[1,5,36],[2,4,85],[2,5,78],[3,4,86],[3,5,83],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=36,(4,5)=37,(1,4)=39,(0,3)=47,(1,3)=49,(0,2)=68,(2,5)=78,(0,1)=82,(3,5)=83,(0,5)=84,(2,4)=85,(3,4)=86,(1,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=37 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=39 Failed, w=73\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(3)=0, Add (1,3)=49 Succeeded, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=1, Find(2)=2, Add (0,2)=68 Succeeded, w=237\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=237\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=237\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=83 Failed, w=237\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=84 Failed, w=237\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=85 Failed, w=237\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=237\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,82],[0,3,4],[0,4,77],[1,4,85],[2,3,41],[2,4,30],[3,4,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,82],[0,3,4],[0,4,77],[1,4,85],[2,3,41],[2,4,30],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,82],[0,3,4],[0,4,77],[1,4,85],[2,3,41],[2,4,30],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,82],[0,3,4],[0,4,77],[1,4,85],[2,3,41],[2,4,30],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (0,1)=29, w=33\",\"Add (2,4)=30, w=63\",\"Add (3,4)=39, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,82],[0,3,4],[0,4,77],[1,4,85],[2,3,41],[2,4,30],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (0,1)=29 Succeeded, w=33\",\"Add (2,4)=30 Succeeded, w=63\",\"Add (3,4)=39 Succeeded, w=102\",\"Add (2,3)=41 Failed, w=102\",\"Add (0,4)=77 Failed, w=102\",\"Add (0,2)=82 Failed, w=102\",\"Add (1,4)=85 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,82],[0,3,4],[0,4,77],[1,4,85],[2,3,41],[2,4,30],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,1)=29,(2,4)=30,(3,4)=39,(2,3)=41,(0,4)=77,(0,2)=82,(1,4)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=33\",\"Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=63\",\"Find(3)=0, Find(4)=2, Add (3,4)=39 Succeeded, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=102\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=102\",\"Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=102\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,82],[0,3,4],[0,4,77],[1,4,85],[2,3,41],[2,4,30],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,1)=29,(2,4)=30,(3,4)=39,(2,3)=41,(0,4)=77,(0,2)=82,(1,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(3)=0, Find(4)=2, Add (3,4)=39 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=82 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,69],[0,2,45],[0,3,43],[0,4,42],[0,5,55],[1,2,86],[1,3,11],[1,4,81],[1,5,67],[2,3,34],[2,4,73],[2,5,64],[3,4,58],[3,5,71],[4,5,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,45],[0,3,43],[0,4,42],[0,5,55],[1,2,86],[1,3,11],[1,4,81],[1,5,67],[2,3,34],[2,4,73],[2,5,64],[3,4,58],[3,5,71],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,45],[0,3,43],[0,4,42],[0,5,55],[1,2,86],[1,3,11],[1,4,81],[1,5,67],[2,3,34],[2,4,73],[2,5,64],[3,4,58],[3,5,71],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,45],[0,3,43],[0,4,42],[0,5,55],[1,2,86],[1,3,11],[1,4,81],[1,5,67],[2,3,34],[2,4,73],[2,5,64],[3,4,58],[3,5,71],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (2,3)=34, w=45\",\"Add (0,4)=42, w=87\",\"Add (0,3)=43, w=130\",\"Add (4,5)=43, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,45],[0,3,43],[0,4,42],[0,5,55],[1,2,86],[1,3,11],[1,4,81],[1,5,67],[2,3,34],[2,4,73],[2,5,64],[3,4,58],[3,5,71],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (2,3)=34 Succeeded, w=45\",\"Add (0,4)=42 Succeeded, w=87\",\"Add (0,3)=43 Succeeded, w=130\",\"Add (4,5)=43 Succeeded, w=173\",\"Add (0,2)=45 Failed, w=173\",\"Add (0,5)=55 Failed, w=173\",\"Add (3,4)=58 Failed, w=173\",\"Add (2,5)=64 Failed, w=173\",\"Add (1,5)=67 Failed, w=173\",\"Add (0,1)=69 Failed, w=173\",\"Add (3,5)=71 Failed, w=173\",\"Add (2,4)=73 Failed, w=173\",\"Add (1,4)=81 Failed, w=173\",\"Add (1,2)=86 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,45],[0,3,43],[0,4,42],[0,5,55],[1,2,86],[1,3,11],[1,4,81],[1,5,67],[2,3,34],[2,4,73],[2,5,64],[3,4,58],[3,5,71],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(2,3)=34,(0,4)=42,(0,3)=43,(4,5)=43,(0,2)=45,(0,5)=55,(3,4)=58,(2,5)=64,(1,5)=67,(0,1)=69,(3,5)=71,(2,4)=73,(1,4)=81,(1,2)=86]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(2)=2, Find(3)=1, Add (2,3)=34 Succeeded, w=45\",\"Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=87\",\"Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=130\",\"Find(4)=0, Find(5)=5, Add (4,5)=43 Succeeded, w=173\",\"Find(0)=0, Find(2)=0, Add (0,2)=45 Failed, w=173\",\"Find(0)=0, Find(5)=0, Add (0,5)=55 Failed, w=173\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=173\",\"Find(2)=0, Find(5)=0, Add (2,5)=64 Failed, w=173\",\"Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=173\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=173\",\"Find(3)=0, Find(5)=0, Add (3,5)=71 Failed, w=173\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=173\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=173\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,2,45],[0,3,43],[0,4,42],[0,5,55],[1,2,86],[1,3,11],[1,4,81],[1,5,67],[2,3,34],[2,4,73],[2,5,64],[3,4,58],[3,5,71],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(2,3)=34,(0,4)=42,(0,3)=43,(4,5)=43,(0,2)=45,(0,5)=55,(3,4)=58,(2,5)=64,(1,5)=67,(0,1)=69,(3,5)=71,(2,4)=73,(1,4)=81,(1,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(2)=2, Find(3)=1, Add (2,3)=34 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=43 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=45 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=55 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=64 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=67 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=71 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,74],[0,2,72],[0,3,70],[0,4,5],[0,5,47],[0,6,58],[0,7,20],[1,2,66],[1,3,44],[1,4,44],[1,5,33],[1,6,53],[1,7,48],[2,3,69],[2,4,10],[2,5,21],[2,6,68],[2,7,3],[3,4,29],[3,5,76],[3,6,47],[3,7,99],[4,5,9],[4,6,57],[5,6,60],[5,7,63],[6,7,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,72],[0,3,70],[0,4,5],[0,5,47],[0,6,58],[0,7,20],[1,2,66],[1,3,44],[1,4,44],[1,5,33],[1,6,53],[1,7,48],[2,3,69],[2,4,10],[2,5,21],[2,6,68],[2,7,3],[3,4,29],[3,5,76],[3,6,47],[3,7,99],[4,5,9],[4,6,57],[5,6,60],[5,7,63],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,72],[0,3,70],[0,4,5],[0,5,47],[0,6,58],[0,7,20],[1,2,66],[1,3,44],[1,4,44],[1,5,33],[1,6,53],[1,7,48],[2,3,69],[2,4,10],[2,5,21],[2,6,68],[2,7,3],[3,4,29],[3,5,76],[3,6,47],[3,7,99],[4,5,9],[4,6,57],[5,6,60],[5,7,63],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (3,6)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,72],[0,3,70],[0,4,5],[0,5,47],[0,6,58],[0,7,20],[1,2,66],[1,3,44],[1,4,44],[1,5,33],[1,6,53],[1,7,48],[2,3,69],[2,4,10],[2,5,21],[2,6,68],[2,7,3],[3,4,29],[3,5,76],[3,6,47],[3,7,99],[4,5,9],[4,6,57],[5,6,60],[5,7,63],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=3, w=3\",\"Add (0,4)=5, w=8\",\"Add (4,5)=9, w=17\",\"Add (2,4)=10, w=27\",\"Add (3,4)=29, w=56\",\"Add (1,5)=33, w=89\",\"Add (3,6)=47, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,72],[0,3,70],[0,4,5],[0,5,47],[0,6,58],[0,7,20],[1,2,66],[1,3,44],[1,4,44],[1,5,33],[1,6,53],[1,7,48],[2,3,69],[2,4,10],[2,5,21],[2,6,68],[2,7,3],[3,4,29],[3,5,76],[3,6,47],[3,7,99],[4,5,9],[4,6,57],[5,6,60],[5,7,63],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=3 Succeeded, w=3\",\"Add (0,4)=5 Succeeded, w=8\",\"Add (4,5)=9 Succeeded, w=17\",\"Add (2,4)=10 Succeeded, w=27\",\"Add (0,7)=20 Failed, w=27\",\"Add (2,5)=21 Failed, w=27\",\"Add (3,4)=29 Succeeded, w=56\",\"Add (1,5)=33 Succeeded, w=89\",\"Add (1,3)=44 Failed, w=89\",\"Add (1,4)=44 Failed, w=89\",\"Add (0,5)=47 Failed, w=89\",\"Add (3,6)=47 Succeeded, w=136\",\"Add (1,7)=48 Failed, w=136\",\"Add (1,6)=53 Failed, w=136\",\"Add (4,6)=57 Failed, w=136\",\"Add (0,6)=58 Failed, w=136\",\"Add (5,6)=60 Failed, w=136\",\"Add (5,7)=63 Failed, w=136\",\"Add (1,2)=66 Failed, w=136\",\"Add (2,6)=68 Failed, w=136\",\"Add (2,3)=69 Failed, w=136\",\"Add (0,3)=70 Failed, w=136\",\"Add (0,2)=72 Failed, w=136\",\"Add (0,1)=74 Failed, w=136\",\"Add (3,5)=76 Failed, w=136\",\"Add (6,7)=77 Failed, w=136\",\"Add (3,7)=99 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,72],[0,3,70],[0,4,5],[0,5,47],[0,6,58],[0,7,20],[1,2,66],[1,3,44],[1,4,44],[1,5,33],[1,6,53],[1,7,48],[2,3,69],[2,4,10],[2,5,21],[2,6,68],[2,7,3],[3,4,29],[3,5,76],[3,6,47],[3,7,99],[4,5,9],[4,6,57],[5,6,60],[5,7,63],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=3,(0,4)=5,(4,5)=9,(2,4)=10,(0,7)=20,(2,5)=21,(3,4)=29,(1,5)=33,(1,3)=44,(1,4)=44,(0,5)=47,(3,6)=47,(1,7)=48,(1,6)=53,(4,6)=57,(0,6)=58,(5,6)=60,(5,7)=63,(1,2)=66,(2,6)=68,(2,3)=69,(0,3)=70,(0,2)=72,(0,1)=74,(3,5)=76,(6,7)=77,(3,7)=99]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=8\",\"Find(4)=0, Find(5)=5, Add (4,5)=9 Succeeded, w=17\",\"Find(2)=2, Find(4)=0, Add (2,4)=10 Succeeded, w=27\",\"Find(0)=2, Find(7)=2, Add (0,7)=20 Failed, w=27\",\"Find(2)=2, Find(5)=2, Add (2,5)=21 Failed, w=27\",\"Find(3)=3, Find(4)=2, Add (3,4)=29 Succeeded, w=56\",\"Find(1)=1, Find(5)=2, Add (1,5)=33 Succeeded, w=89\",\"Find(1)=2, Find(3)=2, Add (1,3)=44 Failed, w=89\",\"Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=89\",\"Find(0)=2, Find(5)=2, Add (0,5)=47 Failed, w=89\",\"Find(3)=2, Find(6)=6, Add (3,6)=47 Succeeded, w=136\",\"Find(1)=2, Find(7)=2, Add (1,7)=48 Failed, w=136\",\"Find(1)=2, Find(6)=2, Add (1,6)=53 Failed, w=136\",\"Find(4)=2, Find(6)=2, Add (4,6)=57 Failed, w=136\",\"Find(0)=2, Find(6)=2, Add (0,6)=58 Failed, w=136\",\"Find(5)=2, Find(6)=2, Add (5,6)=60 Failed, w=136\",\"Find(5)=2, Find(7)=2, Add (5,7)=63 Failed, w=136\",\"Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=136\",\"Find(2)=2, Find(6)=2, Add (2,6)=68 Failed, w=136\",\"Find(2)=2, Find(3)=2, Add (2,3)=69 Failed, w=136\",\"Find(0)=2, Find(3)=2, Add (0,3)=70 Failed, w=136\",\"Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=136\",\"Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=136\",\"Find(3)=2, Find(5)=2, Add (3,5)=76 Failed, w=136\",\"Find(6)=2, Find(7)=2, Add (6,7)=77 Failed, w=136\",\"Find(3)=2, Find(7)=2, Add (3,7)=99 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,72],[0,3,70],[0,4,5],[0,5,47],[0,6,58],[0,7,20],[1,2,66],[1,3,44],[1,4,44],[1,5,33],[1,6,53],[1,7,48],[2,3,69],[2,4,10],[2,5,21],[2,6,68],[2,7,3],[3,4,29],[3,5,76],[3,6,47],[3,7,99],[4,5,9],[4,6,57],[5,6,60],[5,7,63],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=3,(0,4)=5,(4,5)=9,(2,4)=10,(0,7)=20,(2,5)=21,(3,4)=29,(1,5)=33,(1,3)=44,(1,4)=44,(0,5)=47,(3,6)=47,(1,7)=48,(1,6)=53,(4,6)=57,(0,6)=58,(5,6)=60,(5,7)=63,(1,2)=66,(2,6)=68,(2,3)=69,(0,3)=70,(0,2)=72,(0,1)=74,(3,5)=76,(6,7)=77,(3,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 2}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 2}, Find(4)=0, Find(5)=5, Add (4,5)=9 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 2}, Find(2)=2, Find(4)=0, Add (2,4)=10 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=20 Failed, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=21 Failed, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(3)=3, Find(4)=2, Add (3,4)=29 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(1)=1, Find(5)=2, Add (1,5)=33 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=44 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=47 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=6, Add (3,6)=47 Succeeded, w=136\",\"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)=48 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=53 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=57 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=58 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=60 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=63 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=68 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=69 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=70 Failed, w=136\",\"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)=72 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=136\",\"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)=76 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=77 Failed, w=136\",\"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)=99 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,54],[0,2,60],[0,4,100],[0,5,63],[0,6,84],[1,2,10],[1,4,85],[1,6,13],[2,3,36],[2,5,78],[2,6,38],[3,4,96],[3,5,96],[4,5,87],[4,6,26],[5,6,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,60],[0,4,100],[0,5,63],[0,6,84],[1,2,10],[1,4,85],[1,6,13],[2,3,36],[2,5,78],[2,6,38],[3,4,96],[3,5,96],[4,5,87],[4,6,26],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,60],[0,4,100],[0,5,63],[0,6,84],[1,2,10],[1,4,85],[1,6,13],[2,3,36],[2,5,78],[2,6,38],[3,4,96],[3,5,96],[4,5,87],[4,6,26],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,6)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (0,5)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,60],[0,4,100],[0,5,63],[0,6,84],[1,2,10],[1,4,85],[1,6,13],[2,3,36],[2,5,78],[2,6,38],[3,4,96],[3,5,96],[4,5,87],[4,6,26],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (1,6)=13, w=23\",\"Add (4,6)=26, w=49\",\"Add (2,3)=36, w=85\",\"Add (0,1)=54, w=139\",\"Add (0,5)=63, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,60],[0,4,100],[0,5,63],[0,6,84],[1,2,10],[1,4,85],[1,6,13],[2,3,36],[2,5,78],[2,6,38],[3,4,96],[3,5,96],[4,5,87],[4,6,26],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (1,6)=13 Succeeded, w=23\",\"Add (4,6)=26 Succeeded, w=49\",\"Add (2,3)=36 Succeeded, w=85\",\"Add (2,6)=38 Failed, w=85\",\"Add (0,1)=54 Succeeded, w=139\",\"Add (0,2)=60 Failed, w=139\",\"Add (0,5)=63 Succeeded, w=202\",\"Add (2,5)=78 Failed, w=202\",\"Add (0,6)=84 Failed, w=202\",\"Add (1,4)=85 Failed, w=202\",\"Add (5,6)=86 Failed, w=202\",\"Add (4,5)=87 Failed, w=202\",\"Add (3,4)=96 Failed, w=202\",\"Add (3,5)=96 Failed, w=202\",\"Add (0,4)=100 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,60],[0,4,100],[0,5,63],[0,6,84],[1,2,10],[1,4,85],[1,6,13],[2,3,36],[2,5,78],[2,6,38],[3,4,96],[3,5,96],[4,5,87],[4,6,26],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(1,6)=13,(4,6)=26,(2,3)=36,(2,6)=38,(0,1)=54,(0,2)=60,(0,5)=63,(2,5)=78,(0,6)=84,(1,4)=85,(5,6)=86,(4,5)=87,(3,4)=96,(3,5)=96,(0,4)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(1)=1, Find(6)=6, Add (1,6)=13 Succeeded, w=23\",\"Find(4)=4, Find(6)=1, Add (4,6)=26 Succeeded, w=49\",\"Find(2)=1, Find(3)=3, Add (2,3)=36 Succeeded, w=85\",\"Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=85\",\"Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=139\",\"Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=139\",\"Find(0)=1, Find(5)=5, Add (0,5)=63 Succeeded, w=202\",\"Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=202\",\"Find(0)=1, Find(6)=1, Add (0,6)=84 Failed, w=202\",\"Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=202\",\"Find(5)=1, Find(6)=1, Add (5,6)=86 Failed, w=202\",\"Find(4)=1, Find(5)=1, Add (4,5)=87 Failed, w=202\",\"Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=202\",\"Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=202\",\"Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,54],[0,2,60],[0,4,100],[0,5,63],[0,6,84],[1,2,10],[1,4,85],[1,6,13],[2,3,36],[2,5,78],[2,6,38],[3,4,96],[3,5,96],[4,5,87],[4,6,26],[5,6,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(1,6)=13,(4,6)=26,(2,3)=36,(2,6)=38,(0,1)=54,(0,2)=60,(0,5)=63,(2,5)=78,(0,6)=84,(1,4)=85,(5,6)=86,(4,5)=87,(3,4)=96,(3,5)=96,(0,4)=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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=26 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(3)=3, Add (2,3)=36 Succeeded, w=85\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=5, Add (0,5)=63 Succeeded, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=84 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=86 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=87 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,8],[0,2,85],[1,2,56],[1,3,14],[1,4,75],[1,5,64],[1,6,12],[2,3,34],[2,4,82],[2,6,54],[3,4,74],[3,5,79],[3,6,46],[4,6,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,85],[1,2,56],[1,3,14],[1,4,75],[1,5,64],[1,6,12],[2,3,34],[2,4,82],[2,6,54],[3,4,74],[3,5,79],[3,6,46],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,85],[1,2,56],[1,3,14],[1,4,75],[1,5,64],[1,6,12],[2,3,34],[2,4,82],[2,6,54],[3,4,74],[3,5,79],[3,6,46],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,1)\",\"Add (1,6)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (1,5)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,85],[1,2,56],[1,3,14],[1,4,75],[1,5,64],[1,6,12],[2,3,34],[2,4,82],[2,6,54],[3,4,74],[3,5,79],[3,6,46],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3, w=3\",\"Add (0,1)=8, w=11\",\"Add (1,6)=12, w=23\",\"Add (1,3)=14, w=37\",\"Add (2,3)=34, w=71\",\"Add (1,5)=64, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,85],[1,2,56],[1,3,14],[1,4,75],[1,5,64],[1,6,12],[2,3,34],[2,4,82],[2,6,54],[3,4,74],[3,5,79],[3,6,46],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3 Succeeded, w=3\",\"Add (0,1)=8 Succeeded, w=11\",\"Add (1,6)=12 Succeeded, w=23\",\"Add (1,3)=14 Succeeded, w=37\",\"Add (2,3)=34 Succeeded, w=71\",\"Add (3,6)=46 Failed, w=71\",\"Add (2,6)=54 Failed, w=71\",\"Add (1,2)=56 Failed, w=71\",\"Add (1,5)=64 Succeeded, w=135\",\"Add (3,4)=74 Failed, w=135\",\"Add (1,4)=75 Failed, w=135\",\"Add (3,5)=79 Failed, w=135\",\"Add (2,4)=82 Failed, w=135\",\"Add (0,2)=85 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,85],[1,2,56],[1,3,14],[1,4,75],[1,5,64],[1,6,12],[2,3,34],[2,4,82],[2,6,54],[3,4,74],[3,5,79],[3,6,46],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(0,1)=8,(1,6)=12,(1,3)=14,(2,3)=34,(3,6)=46,(2,6)=54,(1,2)=56,(1,5)=64,(3,4)=74,(1,4)=75,(3,5)=79,(2,4)=82,(0,2)=85]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=11\",\"Find(1)=0, Find(6)=4, Add (1,6)=12 Succeeded, w=23\",\"Find(1)=0, Find(3)=3, Add (1,3)=14 Succeeded, w=37\",\"Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=71\",\"Find(3)=0, Find(6)=0, Add (3,6)=46 Failed, w=71\",\"Find(2)=0, Find(6)=0, Add (2,6)=54 Failed, w=71\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=71\",\"Find(1)=0, Find(5)=5, Add (1,5)=64 Succeeded, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=135\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=135\",\"Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=135\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=135\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,8],[0,2,85],[1,2,56],[1,3,14],[1,4,75],[1,5,64],[1,6,12],[2,3,34],[2,4,82],[2,6,54],[3,4,74],[3,5,79],[3,6,46],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(0,1)=8,(1,6)=12,(1,3)=14,(2,3)=34,(3,6)=46,(2,6)=54,(1,2)=56,(1,5)=64,(3,4)=74,(1,4)=75,(3,5)=79,(2,4)=82,(0,2)=85]\",\"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: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 4}, Find(1)=0, Find(6)=4, Add (1,6)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 4}, Find(1)=0, Find(3)=3, Add (1,3)=14 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4}, Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=46 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=54 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=5, Add (1,5)=64 Succeeded, w=135\",\"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=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,56],[0,2,31],[0,3,70],[0,4,5],[0,5,37],[0,6,49],[1,3,74],[1,4,63],[1,6,27],[2,3,49],[2,5,42],[3,4,35],[3,5,58],[4,5,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,31],[0,3,70],[0,4,5],[0,5,37],[0,6,49],[1,3,74],[1,4,63],[1,6,27],[2,3,49],[2,5,42],[3,4,35],[3,5,58],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,31],[0,3,70],[0,4,5],[0,5,37],[0,6,49],[1,3,74],[1,4,63],[1,6,27],[2,3,49],[2,5,42],[3,4,35],[3,5,58],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (0,6)\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,31],[0,3,70],[0,4,5],[0,5,37],[0,6,49],[1,3,74],[1,4,63],[1,6,27],[2,3,49],[2,5,42],[3,4,35],[3,5,58],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (1,6)=27, w=32\",\"Add (0,2)=31, w=63\",\"Add (3,4)=35, w=98\",\"Add (0,5)=37, w=135\",\"Add (0,6)=49, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,31],[0,3,70],[0,4,5],[0,5,37],[0,6,49],[1,3,74],[1,4,63],[1,6,27],[2,3,49],[2,5,42],[3,4,35],[3,5,58],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (1,6)=27 Succeeded, w=32\",\"Add (0,2)=31 Succeeded, w=63\",\"Add (3,4)=35 Succeeded, w=98\",\"Add (0,5)=37 Succeeded, w=135\",\"Add (2,5)=42 Failed, w=135\",\"Add (0,6)=49 Succeeded, w=184\",\"Add (2,3)=49 Failed, w=184\",\"Add (0,1)=56 Failed, w=184\",\"Add (3,5)=58 Failed, w=184\",\"Add (4,5)=61 Failed, w=184\",\"Add (1,4)=63 Failed, w=184\",\"Add (0,3)=70 Failed, w=184\",\"Add (1,3)=74 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,31],[0,3,70],[0,4,5],[0,5,37],[0,6,49],[1,3,74],[1,4,63],[1,6,27],[2,3,49],[2,5,42],[3,4,35],[3,5,58],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(1,6)=27,(0,2)=31,(3,4)=35,(0,5)=37,(2,5)=42,(0,6)=49,(2,3)=49,(0,1)=56,(3,5)=58,(4,5)=61,(1,4)=63,(0,3)=70,(1,3)=74]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(6)=6, Add (1,6)=27 Succeeded, w=32\",\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=63\",\"Find(3)=3, Find(4)=0, Add (3,4)=35 Succeeded, w=98\",\"Find(0)=0, Find(5)=5, Add (0,5)=37 Succeeded, w=135\",\"Find(2)=0, Find(5)=0, Add (2,5)=42 Failed, w=135\",\"Find(0)=0, Find(6)=1, Add (0,6)=49 Succeeded, w=184\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=184\",\"Find(0)=0, Find(1)=0, Add (0,1)=56 Failed, w=184\",\"Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=184\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=184\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=184\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=184\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,31],[0,3,70],[0,4,5],[0,5,37],[0,6,49],[1,3,74],[1,4,63],[1,6,27],[2,3,49],[2,5,42],[3,4,35],[3,5,58],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(1,6)=27,(0,2)=31,(3,4)=35,(0,5)=37,(2,5)=42,(0,6)=49,(2,3)=49,(0,1)=56,(3,5)=58,(4,5)=61,(1,4)=63,(0,3)=70,(1,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=27 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 1}, Find(3)=3, Find(4)=0, Add (3,4)=35 Succeeded, w=98\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=37 Succeeded, w=135\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(5)=0, Add (2,5)=42 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=49 Succeeded, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(1)=0, Add (0,1)=56 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,10],[0,6,7],[1,2,33],[1,5,8],[2,3,5],[2,4,18],[3,6,64],[3,7,100],[5,6,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,10],[0,6,7],[1,2,33],[1,5,8],[2,3,5],[2,4,18],[3,6,64],[3,7,100],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,10],[0,6,7],[1,2,33],[1,5,8],[2,3,5],[2,4,18],[3,6,64],[3,7,100],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (3,7)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,10],[0,6,7],[1,2,33],[1,5,8],[2,3,5],[2,4,18],[3,6,64],[3,7,100],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (0,6)=7, w=12\",\"Add (1,5)=8, w=20\",\"Add (0,4)=10, w=30\",\"Add (2,4)=18, w=48\",\"Add (1,2)=33, w=81\",\"Add (3,7)=100, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,10],[0,6,7],[1,2,33],[1,5,8],[2,3,5],[2,4,18],[3,6,64],[3,7,100],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,6)=7 Succeeded, w=12\",\"Add (1,5)=8 Succeeded, w=20\",\"Add (0,4)=10 Succeeded, w=30\",\"Add (2,4)=18 Succeeded, w=48\",\"Add (1,2)=33 Succeeded, w=81\",\"Add (3,6)=64 Failed, w=81\",\"Add (5,6)=64 Failed, w=81\",\"Add (3,7)=100 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,10],[0,6,7],[1,2,33],[1,5,8],[2,3,5],[2,4,18],[3,6,64],[3,7,100],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,6)=7,(1,5)=8,(0,4)=10,(2,4)=18,(1,2)=33,(3,6)=64,(5,6)=64,(3,7)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=12\",\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=20\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=30\",\"Find(2)=2, Find(4)=0, Add (2,4)=18 Succeeded, w=48\",\"Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=81\",\"Find(3)=2, Find(6)=2, Add (3,6)=64 Failed, w=81\",\"Find(5)=2, Find(6)=2, Add (5,6)=64 Failed, w=81\",\"Find(3)=2, Find(7)=7, Add (3,7)=100 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,10],[0,6,7],[1,2,33],[1,5,8],[2,3,5],[2,4,18],[3,6,64],[3,7,100],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,6)=7,(1,5)=8,(0,4)=10,(2,4)=18,(1,2)=33,(3,6)=64,(5,6)=64,(3,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 1, 6: 0, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=30\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 1, 6: 0, 7: 7}, Find(2)=2, Find(4)=0, Add (2,4)=18 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 1, 6: 2, 7: 7}, Find(3)=2, Find(6)=2, Add (3,6)=64 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=2, Add (5,6)=64 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=7, Add (3,7)=100 Succeeded, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,83],[0,2,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=75, w=75\",\"Add (0,1)=83, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=75 Succeeded, w=75\",\"Add (0,1)=83 Succeeded, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=75,(0,1)=83]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=75 Succeeded, w=75\",\"Find(0)=0, Find(1)=1, Add (0,1)=83 Succeeded, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=75,(0,1)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=75 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=83 Succeeded, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,90],[0,2,1],[0,3,84],[0,4,35],[0,5,35],[0,7,32],[1,4,39],[1,5,35],[1,6,40],[1,7,49],[2,7,10],[3,4,2],[3,7,30],[4,6,70],[6,7,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,1],[0,3,84],[0,4,35],[0,5,35],[0,7,32],[1,4,39],[1,5,35],[1,6,40],[1,7,49],[2,7,10],[3,4,2],[3,7,30],[4,6,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,1],[0,3,84],[0,4,35],[0,5,35],[0,7,32],[1,4,39],[1,5,35],[1,6,40],[1,7,49],[2,7,10],[3,4,2],[3,7,30],[4,6,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (2,7)\",\"Add (3,7)\",\"Add (0,5)\",\"Add (1,5)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,1],[0,3,84],[0,4,35],[0,5,35],[0,7,32],[1,4,39],[1,5,35],[1,6,40],[1,7,49],[2,7,10],[3,4,2],[3,7,30],[4,6,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (3,4)=2, w=3\",\"Add (6,7)=9, w=12\",\"Add (2,7)=10, w=22\",\"Add (3,7)=30, w=52\",\"Add (0,5)=35, w=87\",\"Add (1,5)=35, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,1],[0,3,84],[0,4,35],[0,5,35],[0,7,32],[1,4,39],[1,5,35],[1,6,40],[1,7,49],[2,7,10],[3,4,2],[3,7,30],[4,6,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (3,4)=2 Succeeded, w=3\",\"Add (6,7)=9 Succeeded, w=12\",\"Add (2,7)=10 Succeeded, w=22\",\"Add (3,7)=30 Succeeded, w=52\",\"Add (0,7)=32 Failed, w=52\",\"Add (0,4)=35 Failed, w=52\",\"Add (0,5)=35 Succeeded, w=87\",\"Add (1,5)=35 Succeeded, w=122\",\"Add (1,4)=39 Failed, w=122\",\"Add (1,6)=40 Failed, w=122\",\"Add (1,7)=49 Failed, w=122\",\"Add (4,6)=70 Failed, w=122\",\"Add (0,3)=84 Failed, w=122\",\"Add (0,1)=90 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,1],[0,3,84],[0,4,35],[0,5,35],[0,7,32],[1,4,39],[1,5,35],[1,6,40],[1,7,49],[2,7,10],[3,4,2],[3,7,30],[4,6,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(3,4)=2,(6,7)=9,(2,7)=10,(3,7)=30,(0,7)=32,(0,4)=35,(0,5)=35,(1,5)=35,(1,4)=39,(1,6)=40,(1,7)=49,(4,6)=70,(0,3)=84,(0,1)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=3\",\"Find(6)=6, Find(7)=7, Add (6,7)=9 Succeeded, w=12\",\"Find(2)=0, Find(7)=6, Add (2,7)=10 Succeeded, w=22\",\"Find(3)=3, Find(7)=0, Add (3,7)=30 Succeeded, w=52\",\"Find(0)=0, Find(7)=0, Add (0,7)=32 Failed, w=52\",\"Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=52\",\"Find(0)=0, Find(5)=5, Add (0,5)=35 Succeeded, w=87\",\"Find(1)=1, Find(5)=0, Add (1,5)=35 Succeeded, w=122\",\"Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=122\",\"Find(1)=0, Find(6)=0, Add (1,6)=40 Failed, w=122\",\"Find(1)=0, Find(7)=0, Add (1,7)=49 Failed, w=122\",\"Find(4)=0, Find(6)=0, Add (4,6)=70 Failed, w=122\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=122\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,1],[0,3,84],[0,4,35],[0,5,35],[0,7,32],[1,4,39],[1,5,35],[1,6,40],[1,7,49],[2,7,10],[3,4,2],[3,7,30],[4,6,70],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(3,4)=2,(6,7)=9,(2,7)=10,(3,7)=30,(0,7)=32,(0,4)=35,(0,5)=35,(1,5)=35,(1,4)=39,(1,6)=40,(1,7)=49,(4,6)=70,(0,3)=84,(0,1)=90]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 0, 7: 6}, Find(2)=0, Find(7)=6, Add (2,7)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 5, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=30 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=32 Failed, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=35 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(5)=0, Add (1,5)=35 Succeeded, w=122\",\"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)=39 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=40 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=49 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=70 Failed, w=122\",\"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)=84 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,73],[0,2,45],[0,3,62],[0,4,3],[0,5,84],[0,6,2],[1,2,64],[1,3,53],[1,6,72],[2,3,11],[2,4,43],[2,5,47],[2,6,65],[3,4,29],[3,5,51],[3,6,61],[4,5,77],[4,6,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,45],[0,3,62],[0,4,3],[0,5,84],[0,6,2],[1,2,64],[1,3,53],[1,6,72],[2,3,11],[2,4,43],[2,5,47],[2,6,65],[3,4,29],[3,5,51],[3,6,61],[4,5,77],[4,6,70]]}",
"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\":[[0,1,73],[0,2,45],[0,3,62],[0,4,3],[0,5,84],[0,6,2],[1,2,64],[1,3,53],[1,6,72],[2,3,11],[2,4,43],[2,5,47],[2,6,65],[3,4,29],[3,5,51],[3,6,61],[4,5,77],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,45],[0,3,62],[0,4,3],[0,5,84],[0,6,2],[1,2,64],[1,3,53],[1,6,72],[2,3,11],[2,4,43],[2,5,47],[2,6,65],[3,4,29],[3,5,51],[3,6,61],[4,5,77],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2, w=2\",\"Add (0,4)=3, w=5\",\"Add (2,3)=11, w=16\",\"Add (3,4)=29, w=45\",\"Add (2,5)=47, w=92\",\"Add (1,3)=53, 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\":[[0,1,73],[0,2,45],[0,3,62],[0,4,3],[0,5,84],[0,6,2],[1,2,64],[1,3,53],[1,6,72],[2,3,11],[2,4,43],[2,5,47],[2,6,65],[3,4,29],[3,5,51],[3,6,61],[4,5,77],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2 Succeeded, w=2\",\"Add (0,4)=3 Succeeded, w=5\",\"Add (2,3)=11 Succeeded, w=16\",\"Add (3,4)=29 Succeeded, w=45\",\"Add (2,4)=43 Failed, w=45\",\"Add (0,2)=45 Failed, w=45\",\"Add (2,5)=47 Succeeded, w=92\",\"Add (3,5)=51 Failed, w=92\",\"Add (1,3)=53 Succeeded, w=145\",\"Add (3,6)=61 Failed, w=145\",\"Add (0,3)=62 Failed, w=145\",\"Add (1,2)=64 Failed, w=145\",\"Add (2,6)=65 Failed, w=145\",\"Add (4,6)=70 Failed, w=145\",\"Add (1,6)=72 Failed, w=145\",\"Add (0,1)=73 Failed, w=145\",\"Add (4,5)=77 Failed, w=145\",\"Add (0,5)=84 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\":[[0,1,73],[0,2,45],[0,3,62],[0,4,3],[0,5,84],[0,6,2],[1,2,64],[1,3,53],[1,6,72],[2,3,11],[2,4,43],[2,5,47],[2,6,65],[3,4,29],[3,5,51],[3,6,61],[4,5,77],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(0,4)=3,(2,3)=11,(3,4)=29,(2,4)=43,(0,2)=45,(2,5)=47,(3,5)=51,(1,3)=53,(3,6)=61,(0,3)=62,(1,2)=64,(2,6)=65,(4,6)=70,(1,6)=72,(0,1)=73,(4,5)=77,(0,5)=84]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=16\",\"Find(3)=2, Find(4)=0, Add (3,4)=29 Succeeded, w=45\",\"Find(2)=2, Find(4)=2, Add (2,4)=43 Failed, w=45\",\"Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=45\",\"Find(2)=2, Find(5)=5, Add (2,5)=47 Succeeded, w=92\",\"Find(3)=2, Find(5)=2, Add (3,5)=51 Failed, w=92\",\"Find(1)=1, Find(3)=2, Add (1,3)=53 Succeeded, w=145\",\"Find(3)=2, Find(6)=2, Add (3,6)=61 Failed, w=145\",\"Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=145\",\"Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=145\",\"Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=145\",\"Find(4)=2, Find(6)=2, Add (4,6)=70 Failed, w=145\",\"Find(1)=2, Find(6)=2, Add (1,6)=72 Failed, w=145\",\"Find(0)=2, Find(1)=2, Add (0,1)=73 Failed, w=145\",\"Find(4)=2, Find(5)=2, Add (4,5)=77 Failed, w=145\",\"Find(0)=2, Find(5)=2, Add (0,5)=84 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\":[[0,1,73],[0,2,45],[0,3,62],[0,4,3],[0,5,84],[0,6,2],[1,2,64],[1,3,53],[1,6,72],[2,3,11],[2,4,43],[2,5,47],[2,6,65],[3,4,29],[3,5,51],[3,6,61],[4,5,77],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(0,4)=3,(2,3)=11,(3,4)=29,(2,4)=43,(0,2)=45,(2,5)=47,(3,5)=51,(1,3)=53,(3,6)=61,(0,3)=62,(1,2)=64,(2,6)=65,(4,6)=70,(1,6)=72,(0,1)=73,(4,5)=77,(0,5)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 0}, Find(3)=2, Find(4)=0, Add (3,4)=29 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 0}, Find(2)=2, Find(4)=2, Add (2,4)=43 Failed, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 0}, Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(2)=2, Find(5)=5, Add (2,5)=47 Succeeded, w=92\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(3)=2, Find(5)=2, Add (3,5)=51 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0}, Find(1)=1, Find(3)=2, Add (1,3)=53 Succeeded, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=61 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=70 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=72 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=73 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=77 Failed, w=145\",\"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=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,56],[0,4,71],[0,6,43],[1,2,65],[1,3,97],[1,4,76],[1,5,69],[1,6,71],[1,7,71],[2,3,74],[2,4,99],[2,5,24],[2,6,100],[2,7,82],[3,4,69],[3,5,61],[3,7,97],[4,6,5],[4,7,16],[5,6,41],[5,7,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,56],[0,4,71],[0,6,43],[1,2,65],[1,3,97],[1,4,76],[1,5,69],[1,6,71],[1,7,71],[2,3,74],[2,4,99],[2,5,24],[2,6,100],[2,7,82],[3,4,69],[3,5,61],[3,7,97],[4,6,5],[4,7,16],[5,6,41],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,56],[0,4,71],[0,6,43],[1,2,65],[1,3,97],[1,4,76],[1,5,69],[1,6,71],[1,7,71],[2,3,74],[2,4,99],[2,5,24],[2,6,100],[2,7,82],[3,4,69],[3,5,61],[3,7,97],[4,6,5],[4,7,16],[5,6,41],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (4,6)\",\"Add (4,7)\",\"Add (2,5)\",\"Add (0,6)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,56],[0,4,71],[0,6,43],[1,2,65],[1,3,97],[1,4,76],[1,5,69],[1,6,71],[1,7,71],[2,3,74],[2,4,99],[2,5,24],[2,6,100],[2,7,82],[3,4,69],[3,5,61],[3,7,97],[4,6,5],[4,7,16],[5,6,41],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=0, w=0\",\"Add (4,6)=5, w=5\",\"Add (4,7)=16, w=21\",\"Add (2,5)=24, w=45\",\"Add (0,6)=43, w=88\",\"Add (0,3)=56, w=144\",\"Add (1,2)=65, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,56],[0,4,71],[0,6,43],[1,2,65],[1,3,97],[1,4,76],[1,5,69],[1,6,71],[1,7,71],[2,3,74],[2,4,99],[2,5,24],[2,6,100],[2,7,82],[3,4,69],[3,5,61],[3,7,97],[4,6,5],[4,7,16],[5,6,41],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=0 Succeeded, w=0\",\"Add (4,6)=5 Succeeded, w=5\",\"Add (4,7)=16 Succeeded, w=21\",\"Add (2,5)=24 Succeeded, w=45\",\"Add (5,6)=41 Failed, w=45\",\"Add (0,6)=43 Succeeded, w=88\",\"Add (0,3)=56 Succeeded, w=144\",\"Add (3,5)=61 Failed, w=144\",\"Add (1,2)=65 Succeeded, w=209\",\"Add (1,5)=69 Failed, w=209\",\"Add (3,4)=69 Failed, w=209\",\"Add (0,4)=71 Failed, w=209\",\"Add (1,6)=71 Failed, w=209\",\"Add (1,7)=71 Failed, w=209\",\"Add (2,3)=74 Failed, w=209\",\"Add (1,4)=76 Failed, w=209\",\"Add (2,7)=82 Failed, w=209\",\"Add (1,3)=97 Failed, w=209\",\"Add (3,7)=97 Failed, w=209\",\"Add (2,4)=99 Failed, w=209\",\"Add (2,6)=100 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,56],[0,4,71],[0,6,43],[1,2,65],[1,3,97],[1,4,76],[1,5,69],[1,6,71],[1,7,71],[2,3,74],[2,4,99],[2,5,24],[2,6,100],[2,7,82],[3,4,69],[3,5,61],[3,7,97],[4,6,5],[4,7,16],[5,6,41],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=0,(4,6)=5,(4,7)=16,(2,5)=24,(5,6)=41,(0,6)=43,(0,3)=56,(3,5)=61,(1,2)=65,(1,5)=69,(3,4)=69,(0,4)=71,(1,6)=71,(1,7)=71,(2,3)=74,(1,4)=76,(2,7)=82,(1,3)=97,(3,7)=97,(2,4)=99,(2,6)=100]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Find(4)=4, Find(7)=5, Add (4,7)=16 Succeeded, w=21\",\"Find(2)=2, Find(5)=4, Add (2,5)=24 Succeeded, w=45\",\"Find(5)=4, Find(6)=4, Add (5,6)=41 Failed, w=45\",\"Find(0)=0, Find(6)=4, Add (0,6)=43 Succeeded, w=88\",\"Find(0)=4, Find(3)=3, Add (0,3)=56 Succeeded, w=144\",\"Find(3)=4, Find(5)=4, Add (3,5)=61 Failed, w=144\",\"Find(1)=1, Find(2)=4, Add (1,2)=65 Succeeded, w=209\",\"Find(1)=4, Find(5)=4, Add (1,5)=69 Failed, w=209\",\"Find(3)=4, Find(4)=4, Add (3,4)=69 Failed, w=209\",\"Find(0)=4, Find(4)=4, Add (0,4)=71 Failed, w=209\",\"Find(1)=4, Find(6)=4, Add (1,6)=71 Failed, w=209\",\"Find(1)=4, Find(7)=4, Add (1,7)=71 Failed, w=209\",\"Find(2)=4, Find(3)=4, Add (2,3)=74 Failed, w=209\",\"Find(1)=4, Find(4)=4, Add (1,4)=76 Failed, w=209\",\"Find(2)=4, Find(7)=4, Add (2,7)=82 Failed, w=209\",\"Find(1)=4, Find(3)=4, Add (1,3)=97 Failed, w=209\",\"Find(3)=4, Find(7)=4, Add (3,7)=97 Failed, w=209\",\"Find(2)=4, Find(4)=4, Add (2,4)=99 Failed, w=209\",\"Find(2)=4, Find(6)=4, Add (2,6)=100 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,56],[0,4,71],[0,6,43],[1,2,65],[1,3,97],[1,4,76],[1,5,69],[1,6,71],[1,7,71],[2,3,74],[2,4,99],[2,5,24],[2,6,100],[2,7,82],[3,4,69],[3,5,61],[3,7,97],[4,6,5],[4,7,16],[5,6,41],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=0,(4,6)=5,(4,7)=16,(2,5)=24,(5,6)=41,(0,6)=43,(0,3)=56,(3,5)=61,(1,2)=65,(1,5)=69,(3,4)=69,(0,4)=71,(1,6)=71,(1,7)=71,(2,3)=74,(1,4)=76,(2,7)=82,(1,3)=97,(3,7)=97,(2,4)=99,(2,6)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 5}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=16 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 5}, Find(2)=2, Find(5)=4, Add (2,5)=24 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 5}, Find(5)=4, Find(6)=4, Add (5,6)=41 Failed, w=45\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 5}, Find(0)=0, Find(6)=4, Add (0,6)=43 Succeeded, w=88\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 5}, Find(0)=4, Find(3)=3, Add (0,3)=56 Succeeded, w=144\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 5}, Find(3)=4, Find(5)=4, Add (3,5)=61 Failed, w=144\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 5}, Find(1)=1, Find(2)=4, Add (1,2)=65 Succeeded, w=209\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 5}, Find(1)=4, Find(5)=4, Add (1,5)=69 Failed, w=209\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 5}, Find(3)=4, Find(4)=4, Add (3,4)=69 Failed, w=209\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 5}, Find(0)=4, Find(4)=4, Add (0,4)=71 Failed, w=209\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 5}, Find(1)=4, Find(6)=4, Add (1,6)=71 Failed, w=209\",\"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)=71 Failed, w=209\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=74 Failed, w=209\",\"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)=76 Failed, w=209\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=82 Failed, w=209\",\"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)=97 Failed, w=209\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=97 Failed, w=209\",\"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)=99 Failed, w=209\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=100 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,7],[0,3,26],[0,4,42],[0,5,76],[0,6,38],[1,2,52],[1,3,14],[1,4,62],[1,6,29],[2,3,39],[2,4,8],[2,5,29],[2,6,81],[3,4,13],[3,5,89],[3,6,90],[4,5,85],[4,6,80],[5,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,26],[0,4,42],[0,5,76],[0,6,38],[1,2,52],[1,3,14],[1,4,62],[1,6,29],[2,3,39],[2,4,8],[2,5,29],[2,6,81],[3,4,13],[3,5,89],[3,6,90],[4,5,85],[4,6,80],[5,6,82]]}",
"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],\"edges\":[[0,1,7],[0,3,26],[0,4,42],[0,5,76],[0,6,38],[1,2,52],[1,3,14],[1,4,62],[1,6,29],[2,3,39],[2,4,8],[2,5,29],[2,6,81],[3,4,13],[3,5,89],[3,6,90],[4,5,85],[4,6,80],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (2,5)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,26],[0,4,42],[0,5,76],[0,6,38],[1,2,52],[1,3,14],[1,4,62],[1,6,29],[2,3,39],[2,4,8],[2,5,29],[2,6,81],[3,4,13],[3,5,89],[3,6,90],[4,5,85],[4,6,80],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (2,4)=8, w=15\",\"Add (3,4)=13, w=28\",\"Add (1,3)=14, w=42\",\"Add (1,6)=29, w=71\",\"Add (2,5)=29, 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],\"edges\":[[0,1,7],[0,3,26],[0,4,42],[0,5,76],[0,6,38],[1,2,52],[1,3,14],[1,4,62],[1,6,29],[2,3,39],[2,4,8],[2,5,29],[2,6,81],[3,4,13],[3,5,89],[3,6,90],[4,5,85],[4,6,80],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (2,4)=8 Succeeded, w=15\",\"Add (3,4)=13 Succeeded, w=28\",\"Add (1,3)=14 Succeeded, w=42\",\"Add (0,3)=26 Failed, w=42\",\"Add (1,6)=29 Succeeded, w=71\",\"Add (2,5)=29 Succeeded, w=100\",\"Add (0,6)=38 Failed, w=100\",\"Add (2,3)=39 Failed, w=100\",\"Add (0,4)=42 Failed, w=100\",\"Add (1,2)=52 Failed, w=100\",\"Add (1,4)=62 Failed, w=100\",\"Add (0,5)=76 Failed, w=100\",\"Add (4,6)=80 Failed, w=100\",\"Add (2,6)=81 Failed, w=100\",\"Add (5,6)=82 Failed, w=100\",\"Add (4,5)=85 Failed, w=100\",\"Add (3,5)=89 Failed, w=100\",\"Add (3,6)=90 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],\"edges\":[[0,1,7],[0,3,26],[0,4,42],[0,5,76],[0,6,38],[1,2,52],[1,3,14],[1,4,62],[1,6,29],[2,3,39],[2,4,8],[2,5,29],[2,6,81],[3,4,13],[3,5,89],[3,6,90],[4,5,85],[4,6,80],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(2,4)=8,(3,4)=13,(1,3)=14,(0,3)=26,(1,6)=29,(2,5)=29,(0,6)=38,(2,3)=39,(0,4)=42,(1,2)=52,(1,4)=62,(0,5)=76,(4,6)=80,(2,6)=81,(5,6)=82,(4,5)=85,(3,5)=89,(3,6)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=15\",\"Find(3)=3, Find(4)=2, Add (3,4)=13 Succeeded, w=28\",\"Find(1)=0, Find(3)=2, Add (1,3)=14 Succeeded, w=42\",\"Find(0)=0, Find(3)=0, Add (0,3)=26 Failed, w=42\",\"Find(1)=0, Find(6)=6, Add (1,6)=29 Succeeded, w=71\",\"Find(2)=0, Find(5)=5, Add (2,5)=29 Succeeded, w=100\",\"Find(0)=0, Find(6)=0, Add (0,6)=38 Failed, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=39 Failed, w=100\",\"Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=100\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=100\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=100\",\"Find(4)=0, Find(6)=0, Add (4,6)=80 Failed, w=100\",\"Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=100\",\"Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=100\",\"Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=100\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=100\",\"Find(3)=0, Find(6)=0, Add (3,6)=90 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],\"edges\":[[0,1,7],[0,3,26],[0,4,42],[0,5,76],[0,6,38],[1,2,52],[1,3,14],[1,4,62],[1,6,29],[2,3,39],[2,4,8],[2,5,29],[2,6,81],[3,4,13],[3,5,89],[3,6,90],[4,5,85],[4,6,80],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(2,4)=8,(3,4)=13,(1,3)=14,(0,3)=26,(1,6)=29,(2,5)=29,(0,6)=38,(2,3)=39,(0,4)=42,(1,2)=52,(1,4)=62,(0,5)=76,(4,6)=80,(2,6)=81,(5,6)=82,(4,5)=85,(3,5)=89,(3,6)=90]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=3, Find(4)=2, Add (3,4)=13 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=0, Find(3)=2, Add (1,3)=14 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=26 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=29 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=29 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=38 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=39 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=80 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=90 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,38],[0,2,52],[0,3,6],[0,4,31],[0,5,83],[0,6,75],[0,7,80],[1,2,79],[1,3,61],[1,4,61],[1,5,97],[1,7,30],[2,3,77],[2,4,67],[2,5,7],[2,6,30],[2,7,40],[3,4,96],[3,5,71],[3,6,64],[3,7,30],[4,5,97],[4,6,79],[4,7,91],[5,6,17],[5,7,66],[6,7,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,52],[0,3,6],[0,4,31],[0,5,83],[0,6,75],[0,7,80],[1,2,79],[1,3,61],[1,4,61],[1,5,97],[1,7,30],[2,3,77],[2,4,67],[2,5,7],[2,6,30],[2,7,40],[3,4,96],[3,5,71],[3,6,64],[3,7,30],[4,5,97],[4,6,79],[4,7,91],[5,6,17],[5,7,66],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,52],[0,3,6],[0,4,31],[0,5,83],[0,6,75],[0,7,80],[1,2,79],[1,3,61],[1,4,61],[1,5,97],[1,7,30],[2,3,77],[2,4,67],[2,5,7],[2,6,30],[2,7,40],[3,4,96],[3,5,71],[3,6,64],[3,7,30],[4,5,97],[4,6,79],[4,7,91],[5,6,17],[5,7,66],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,5)\",\"Add (6,7)\",\"Add (5,6)\",\"Add (1,7)\",\"Add (3,7)\",\"Add (0,4)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,52],[0,3,6],[0,4,31],[0,5,83],[0,6,75],[0,7,80],[1,2,79],[1,3,61],[1,4,61],[1,5,97],[1,7,30],[2,3,77],[2,4,67],[2,5,7],[2,6,30],[2,7,40],[3,4,96],[3,5,71],[3,6,64],[3,7,30],[4,5,97],[4,6,79],[4,7,91],[5,6,17],[5,7,66],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (2,5)=7, w=13\",\"Add (6,7)=11, w=24\",\"Add (5,6)=17, w=41\",\"Add (1,7)=30, w=71\",\"Add (3,7)=30, w=101\",\"Add (0,4)=31, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,52],[0,3,6],[0,4,31],[0,5,83],[0,6,75],[0,7,80],[1,2,79],[1,3,61],[1,4,61],[1,5,97],[1,7,30],[2,3,77],[2,4,67],[2,5,7],[2,6,30],[2,7,40],[3,4,96],[3,5,71],[3,6,64],[3,7,30],[4,5,97],[4,6,79],[4,7,91],[5,6,17],[5,7,66],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (2,5)=7 Succeeded, w=13\",\"Add (6,7)=11 Succeeded, w=24\",\"Add (5,6)=17 Succeeded, w=41\",\"Add (1,7)=30 Succeeded, w=71\",\"Add (2,6)=30 Failed, w=71\",\"Add (3,7)=30 Succeeded, w=101\",\"Add (0,4)=31 Succeeded, w=132\",\"Add (0,1)=38 Failed, w=132\",\"Add (2,7)=40 Failed, w=132\",\"Add (0,2)=52 Failed, w=132\",\"Add (1,3)=61 Failed, w=132\",\"Add (1,4)=61 Failed, w=132\",\"Add (3,6)=64 Failed, w=132\",\"Add (5,7)=66 Failed, w=132\",\"Add (2,4)=67 Failed, w=132\",\"Add (3,5)=71 Failed, w=132\",\"Add (0,6)=75 Failed, w=132\",\"Add (2,3)=77 Failed, w=132\",\"Add (1,2)=79 Failed, w=132\",\"Add (4,6)=79 Failed, w=132\",\"Add (0,7)=80 Failed, w=132\",\"Add (0,5)=83 Failed, w=132\",\"Add (4,7)=91 Failed, w=132\",\"Add (3,4)=96 Failed, w=132\",\"Add (1,5)=97 Failed, w=132\",\"Add (4,5)=97 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,52],[0,3,6],[0,4,31],[0,5,83],[0,6,75],[0,7,80],[1,2,79],[1,3,61],[1,4,61],[1,5,97],[1,7,30],[2,3,77],[2,4,67],[2,5,7],[2,6,30],[2,7,40],[3,4,96],[3,5,71],[3,6,64],[3,7,30],[4,5,97],[4,6,79],[4,7,91],[5,6,17],[5,7,66],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(2,5)=7,(6,7)=11,(5,6)=17,(1,7)=30,(2,6)=30,(3,7)=30,(0,4)=31,(0,1)=38,(2,7)=40,(0,2)=52,(1,3)=61,(1,4)=61,(3,6)=64,(5,7)=66,(2,4)=67,(3,5)=71,(0,6)=75,(2,3)=77,(1,2)=79,(4,6)=79,(0,7)=80,(0,5)=83,(4,7)=91,(3,4)=96,(1,5)=97,(4,5)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=13\",\"Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=24\",\"Find(5)=2, Find(6)=6, Add (5,6)=17 Succeeded, w=41\",\"Find(1)=1, Find(7)=2, Add (1,7)=30 Succeeded, w=71\",\"Find(2)=2, Find(6)=2, Add (2,6)=30 Failed, w=71\",\"Find(3)=0, Find(7)=2, Add (3,7)=30 Succeeded, w=101\",\"Find(0)=2, Find(4)=4, Add (0,4)=31 Succeeded, w=132\",\"Find(0)=2, Find(1)=2, Add (0,1)=38 Failed, w=132\",\"Find(2)=2, Find(7)=2, Add (2,7)=40 Failed, w=132\",\"Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=132\",\"Find(1)=2, Find(3)=2, Add (1,3)=61 Failed, w=132\",\"Find(1)=2, Find(4)=2, Add (1,4)=61 Failed, w=132\",\"Find(3)=2, Find(6)=2, Add (3,6)=64 Failed, w=132\",\"Find(5)=2, Find(7)=2, Add (5,7)=66 Failed, w=132\",\"Find(2)=2, Find(4)=2, Add (2,4)=67 Failed, w=132\",\"Find(3)=2, Find(5)=2, Add (3,5)=71 Failed, w=132\",\"Find(0)=2, Find(6)=2, Add (0,6)=75 Failed, w=132\",\"Find(2)=2, Find(3)=2, Add (2,3)=77 Failed, w=132\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=132\",\"Find(4)=2, Find(6)=2, Add (4,6)=79 Failed, w=132\",\"Find(0)=2, Find(7)=2, Add (0,7)=80 Failed, w=132\",\"Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=132\",\"Find(4)=2, Find(7)=2, Add (4,7)=91 Failed, w=132\",\"Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=132\",\"Find(1)=2, Find(5)=2, Add (1,5)=97 Failed, w=132\",\"Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,52],[0,3,6],[0,4,31],[0,5,83],[0,6,75],[0,7,80],[1,2,79],[1,3,61],[1,4,61],[1,5,97],[1,7,30],[2,3,77],[2,4,67],[2,5,7],[2,6,30],[2,7,40],[3,4,96],[3,5,71],[3,6,64],[3,7,30],[4,5,97],[4,6,79],[4,7,91],[5,6,17],[5,7,66],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(2,5)=7,(6,7)=11,(5,6)=17,(1,7)=30,(2,6)=30,(3,7)=30,(0,4)=31,(0,1)=38,(2,7)=40,(0,2)=52,(1,3)=61,(1,4)=61,(3,6)=64,(5,7)=66,(2,4)=67,(3,5)=71,(0,6)=75,(2,3)=77,(1,2)=79,(4,6)=79,(0,7)=80,(0,5)=83,(4,7)=91,(3,4)=96,(1,5)=97,(4,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2, 7: 6}, Find(5)=2, Find(6)=6, Add (5,6)=17 Succeeded, w=41\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=30 Succeeded, w=71\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=30 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2, 7: 2}, Find(3)=0, Find(7)=2, Add (3,7)=30 Succeeded, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=4, Add (0,4)=31 Succeeded, w=132\",\"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)=38 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=40 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=132\",\"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)=61 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=61 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=64 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=66 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=67 Failed, w=132\",\"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)=71 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=75 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=77 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=79 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=80 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=83 Failed, w=132\",\"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)=91 Failed, w=132\",\"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)=96 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=97 Failed, w=132\",\"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)=97 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,26],[0,2,25],[1,2,8],[1,3,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,25],[1,2,8],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,25],[1,2,8],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,25],[1,2,8],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (1,2)=8, w=10\",\"Add (0,2)=25, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,25],[1,2,8],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (1,2)=8 Succeeded, w=10\",\"Add (0,2)=25 Succeeded, w=35\",\"Add (0,1)=26 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,25],[1,2,8],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,2)=8,(0,2)=25,(0,1)=26]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=10\",\"Find(0)=0, Find(2)=1, Add (0,2)=25 Succeeded, w=35\",\"Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,25],[1,2,8],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,2)=8,(0,2)=25,(0,1)=26]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=25 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,4],[0,2,18],[0,3,14],[0,4,75],[1,2,15],[1,3,24],[1,4,29],[2,3,47],[2,4,10],[3,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,18],[0,3,14],[0,4,75],[1,2,15],[1,3,24],[1,4,29],[2,3,47],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,18],[0,3,14],[0,4,75],[1,2,15],[1,3,24],[1,4,29],[2,3,47],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,18],[0,3,14],[0,4,75],[1,2,15],[1,3,24],[1,4,29],[2,3,47],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (2,4)=10, w=14\",\"Add (0,3)=14, w=28\",\"Add (1,2)=15, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,18],[0,3,14],[0,4,75],[1,2,15],[1,3,24],[1,4,29],[2,3,47],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (2,4)=10 Succeeded, w=14\",\"Add (0,3)=14 Succeeded, w=28\",\"Add (1,2)=15 Succeeded, w=43\",\"Add (0,2)=18 Failed, w=43\",\"Add (1,3)=24 Failed, w=43\",\"Add (1,4)=29 Failed, w=43\",\"Add (2,3)=47 Failed, w=43\",\"Add (0,4)=75 Failed, w=43\",\"Add (3,4)=97 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,18],[0,3,14],[0,4,75],[1,2,15],[1,3,24],[1,4,29],[2,3,47],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,4)=10,(0,3)=14,(1,2)=15,(0,2)=18,(1,3)=24,(1,4)=29,(2,3)=47,(0,4)=75,(3,4)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=28\",\"Find(1)=0, Find(2)=2, Add (1,2)=15 Succeeded, w=43\",\"Find(0)=0, Find(2)=0, Add (0,2)=18 Failed, w=43\",\"Find(1)=0, Find(3)=0, Add (1,3)=24 Failed, w=43\",\"Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=43\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=43\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=43\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,18],[0,3,14],[0,4,75],[1,2,15],[1,3,24],[1,4,29],[2,3,47],[2,4,10],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,4)=10,(0,3)=14,(1,2)=15,(0,2)=18,(1,3)=24,(1,4)=29,(2,3)=47,(0,4)=75,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=2, Add (1,2)=15 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=18 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=24 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,96],[0,2,48],[0,3,41],[0,4,73],[0,5,62],[0,6,5],[0,7,1],[1,2,54],[1,4,89],[1,6,63],[1,7,38],[2,3,39],[2,5,35],[3,5,63],[4,6,95],[4,7,32],[5,7,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,48],[0,3,41],[0,4,73],[0,5,62],[0,6,5],[0,7,1],[1,2,54],[1,4,89],[1,6,63],[1,7,38],[2,3,39],[2,5,35],[3,5,63],[4,6,95],[4,7,32],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,48],[0,3,41],[0,4,73],[0,5,62],[0,6,5],[0,7,1],[1,2,54],[1,4,89],[1,6,63],[1,7,38],[2,3,39],[2,5,35],[3,5,63],[4,6,95],[4,7,32],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (0,6)\",\"Add (4,7)\",\"Add (2,5)\",\"Add (1,7)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,48],[0,3,41],[0,4,73],[0,5,62],[0,6,5],[0,7,1],[1,2,54],[1,4,89],[1,6,63],[1,7,38],[2,3,39],[2,5,35],[3,5,63],[4,6,95],[4,7,32],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1, w=1\",\"Add (0,6)=5, w=6\",\"Add (4,7)=32, w=38\",\"Add (2,5)=35, w=73\",\"Add (1,7)=38, w=111\",\"Add (2,3)=39, w=150\",\"Add (0,3)=41, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,48],[0,3,41],[0,4,73],[0,5,62],[0,6,5],[0,7,1],[1,2,54],[1,4,89],[1,6,63],[1,7,38],[2,3,39],[2,5,35],[3,5,63],[4,6,95],[4,7,32],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1 Succeeded, w=1\",\"Add (0,6)=5 Succeeded, w=6\",\"Add (4,7)=32 Succeeded, w=38\",\"Add (2,5)=35 Succeeded, w=73\",\"Add (1,7)=38 Succeeded, w=111\",\"Add (2,3)=39 Succeeded, w=150\",\"Add (0,3)=41 Succeeded, w=191\",\"Add (5,7)=47 Failed, w=191\",\"Add (0,2)=48 Failed, w=191\",\"Add (1,2)=54 Failed, w=191\",\"Add (0,5)=62 Failed, w=191\",\"Add (1,6)=63 Failed, w=191\",\"Add (3,5)=63 Failed, w=191\",\"Add (0,4)=73 Failed, w=191\",\"Add (1,4)=89 Failed, w=191\",\"Add (4,6)=95 Failed, w=191\",\"Add (0,1)=96 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,48],[0,3,41],[0,4,73],[0,5,62],[0,6,5],[0,7,1],[1,2,54],[1,4,89],[1,6,63],[1,7,38],[2,3,39],[2,5,35],[3,5,63],[4,6,95],[4,7,32],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(0,6)=5,(4,7)=32,(2,5)=35,(1,7)=38,(2,3)=39,(0,3)=41,(5,7)=47,(0,2)=48,(1,2)=54,(0,5)=62,(1,6)=63,(3,5)=63,(0,4)=73,(1,4)=89,(4,6)=95,(0,1)=96]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=6\",\"Find(4)=4, Find(7)=0, Add (4,7)=32 Succeeded, w=38\",\"Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=73\",\"Find(1)=1, Find(7)=0, Add (1,7)=38 Succeeded, w=111\",\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=150\",\"Find(0)=0, Find(3)=2, Add (0,3)=41 Succeeded, w=191\",\"Find(5)=0, Find(7)=0, Add (5,7)=47 Failed, w=191\",\"Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=191\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=191\",\"Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=191\",\"Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=191\",\"Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=191\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=191\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=191\",\"Find(4)=0, Find(6)=0, Add (4,6)=95 Failed, w=191\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,48],[0,3,41],[0,4,73],[0,5,62],[0,6,5],[0,7,1],[1,2,54],[1,4,89],[1,6,63],[1,7,38],[2,3,39],[2,5,35],[3,5,63],[4,6,95],[4,7,32],[5,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(0,6)=5,(4,7)=32,(2,5)=35,(1,7)=38,(2,3)=39,(0,3)=41,(5,7)=47,(0,2)=48,(1,2)=54,(0,5)=62,(1,6)=63,(3,5)=63,(0,4)=73,(1,4)=89,(4,6)=95,(0,1)=96]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=32 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0, 7: 0}, Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=38 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 0, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 0, 7: 0}, Find(0)=0, Find(3)=2, Add (0,3)=41 Succeeded, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=47 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=62 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=63 Failed, w=191\",\"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)=63 Failed, w=191\",\"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)=73 Failed, w=191\",\"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=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=95 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,30],[0,2,86],[0,3,36],[0,4,0],[0,5,45],[0,6,58],[0,7,47],[1,2,0],[1,3,76],[1,5,84],[1,6,81],[1,7,77],[2,3,28],[2,4,82],[2,5,40],[2,6,64],[2,7,58],[3,4,28],[3,5,88],[3,6,21],[3,7,1],[4,5,36],[4,6,74],[4,7,20],[5,6,30],[5,7,80],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,86],[0,3,36],[0,4,0],[0,5,45],[0,6,58],[0,7,47],[1,2,0],[1,3,76],[1,5,84],[1,6,81],[1,7,77],[2,3,28],[2,4,82],[2,5,40],[2,6,64],[2,7,58],[3,4,28],[3,5,88],[3,6,21],[3,7,1],[4,5,36],[4,6,74],[4,7,20],[5,6,30],[5,7,80],[6,7,87]]}",
"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\":[[0,1,30],[0,2,86],[0,3,36],[0,4,0],[0,5,45],[0,6,58],[0,7,47],[1,2,0],[1,3,76],[1,5,84],[1,6,81],[1,7,77],[2,3,28],[2,4,82],[2,5,40],[2,6,64],[2,7,58],[3,4,28],[3,5,88],[3,6,21],[3,7,1],[4,5,36],[4,6,74],[4,7,20],[5,6,30],[5,7,80],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (4,7)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (5,6)\"],\"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\":[[0,1,30],[0,2,86],[0,3,36],[0,4,0],[0,5,45],[0,6,58],[0,7,47],[1,2,0],[1,3,76],[1,5,84],[1,6,81],[1,7,77],[2,3,28],[2,4,82],[2,5,40],[2,6,64],[2,7,58],[3,4,28],[3,5,88],[3,6,21],[3,7,1],[4,5,36],[4,6,74],[4,7,20],[5,6,30],[5,7,80],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (1,2)=0, w=0\",\"Add (3,7)=1, w=1\",\"Add (4,7)=20, w=21\",\"Add (3,6)=21, w=42\",\"Add (2,3)=28, w=70\",\"Add (5,6)=30, 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\":[[0,1,30],[0,2,86],[0,3,36],[0,4,0],[0,5,45],[0,6,58],[0,7,47],[1,2,0],[1,3,76],[1,5,84],[1,6,81],[1,7,77],[2,3,28],[2,4,82],[2,5,40],[2,6,64],[2,7,58],[3,4,28],[3,5,88],[3,6,21],[3,7,1],[4,5,36],[4,6,74],[4,7,20],[5,6,30],[5,7,80],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (1,2)=0 Succeeded, w=0\",\"Add (3,7)=1 Succeeded, w=1\",\"Add (4,7)=20 Succeeded, w=21\",\"Add (3,6)=21 Succeeded, w=42\",\"Add (2,3)=28 Succeeded, w=70\",\"Add (3,4)=28 Failed, w=70\",\"Add (0,1)=30 Failed, w=70\",\"Add (5,6)=30 Succeeded, w=100\",\"Add (0,3)=36 Failed, w=100\",\"Add (4,5)=36 Failed, w=100\",\"Add (2,5)=40 Failed, w=100\",\"Add (0,5)=45 Failed, w=100\",\"Add (0,7)=47 Failed, w=100\",\"Add (0,6)=58 Failed, w=100\",\"Add (2,7)=58 Failed, w=100\",\"Add (2,6)=64 Failed, w=100\",\"Add (4,6)=74 Failed, w=100\",\"Add (1,3)=76 Failed, w=100\",\"Add (1,7)=77 Failed, w=100\",\"Add (5,7)=80 Failed, w=100\",\"Add (1,6)=81 Failed, w=100\",\"Add (2,4)=82 Failed, w=100\",\"Add (1,5)=84 Failed, w=100\",\"Add (0,2)=86 Failed, w=100\",\"Add (6,7)=87 Failed, w=100\",\"Add (3,5)=88 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\":[[0,1,30],[0,2,86],[0,3,36],[0,4,0],[0,5,45],[0,6,58],[0,7,47],[1,2,0],[1,3,76],[1,5,84],[1,6,81],[1,7,77],[2,3,28],[2,4,82],[2,5,40],[2,6,64],[2,7,58],[3,4,28],[3,5,88],[3,6,21],[3,7,1],[4,5,36],[4,6,74],[4,7,20],[5,6,30],[5,7,80],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(1,2)=0,(3,7)=1,(4,7)=20,(3,6)=21,(2,3)=28,(3,4)=28,(0,1)=30,(5,6)=30,(0,3)=36,(4,5)=36,(2,5)=40,(0,5)=45,(0,7)=47,(0,6)=58,(2,7)=58,(2,6)=64,(4,6)=74,(1,3)=76,(1,7)=77,(5,7)=80,(1,6)=81,(2,4)=82,(1,5)=84,(0,2)=86,(6,7)=87,(3,5)=88]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(4)=0, Find(7)=3, Add (4,7)=20 Succeeded, w=21\",\"Find(3)=0, Find(6)=6, Add (3,6)=21 Succeeded, w=42\",\"Find(2)=1, Find(3)=0, Add (2,3)=28 Succeeded, w=70\",\"Find(3)=0, Find(4)=0, Add (3,4)=28 Failed, w=70\",\"Find(0)=0, Find(1)=0, Add (0,1)=30 Failed, w=70\",\"Find(5)=5, Find(6)=0, Add (5,6)=30 Succeeded, w=100\",\"Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=100\",\"Find(4)=0, Find(5)=0, Add (4,5)=36 Failed, w=100\",\"Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=100\",\"Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=100\",\"Find(0)=0, Find(7)=0, Add (0,7)=47 Failed, w=100\",\"Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=100\",\"Find(2)=0, Find(7)=0, Add (2,7)=58 Failed, w=100\",\"Find(2)=0, Find(6)=0, Add (2,6)=64 Failed, w=100\",\"Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=100\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=100\",\"Find(1)=0, Find(7)=0, Add (1,7)=77 Failed, w=100\",\"Find(5)=0, Find(7)=0, Add (5,7)=80 Failed, w=100\",\"Find(1)=0, Find(6)=0, Add (1,6)=81 Failed, w=100\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=100\",\"Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=100\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=100\",\"Find(6)=0, Find(7)=0, Add (6,7)=87 Failed, w=100\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 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\":[[0,1,30],[0,2,86],[0,3,36],[0,4,0],[0,5,45],[0,6,58],[0,7,47],[1,2,0],[1,3,76],[1,5,84],[1,6,81],[1,7,77],[2,3,28],[2,4,82],[2,5,40],[2,6,64],[2,7,58],[3,4,28],[3,5,88],[3,6,21],[3,7,1],[4,5,36],[4,6,74],[4,7,20],[5,6,30],[5,7,80],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(1,2)=0,(3,7)=1,(4,7)=20,(3,6)=21,(2,3)=28,(3,4)=28,(0,1)=30,(5,6)=30,(0,3)=36,(4,5)=36,(2,5)=40,(0,5)=45,(0,7)=47,(0,6)=58,(2,7)=58,(2,6)=64,(4,6)=74,(1,3)=76,(1,7)=77,(5,7)=80,(1,6)=81,(2,4)=82,(1,5)=84,(0,2)=86,(6,7)=87,(3,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5, 6: 6, 7: 3}, Find(4)=0, Find(7)=3, Add (4,7)=20 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5, 6: 0, 7: 3}, Find(3)=0, Find(6)=6, Add (3,6)=21 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 5, 6: 0, 7: 3}, Find(2)=1, Find(3)=0, Add (2,3)=28 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 5, 6: 0, 7: 3}, Find(3)=0, Find(4)=0, Add (3,4)=28 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 5, 6: 0, 7: 3}, Find(0)=0, Find(1)=0, Add (0,1)=30 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(5)=5, Find(6)=0, Add (5,6)=30 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(4)=0, Find(5)=0, Add (4,5)=36 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=47 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=100\",\"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)=58 Failed, w=100\",\"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)=64 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=100\",\"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)=77 Failed, w=100\",\"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)=80 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=81 Failed, w=100\",\"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=100\",\"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)=84 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=100\",\"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)=87 Failed, w=100\",\"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)=88 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,52],[0,3,40],[0,4,28],[0,5,40],[1,2,12],[1,4,83],[1,5,90],[2,3,91],[2,5,100],[3,4,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,40],[0,4,28],[0,5,40],[1,2,12],[1,4,83],[1,5,90],[2,3,91],[2,5,100],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,40],[0,4,28],[0,5,40],[1,2,12],[1,4,83],[1,5,90],[2,3,91],[2,5,100],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (0,2)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,40],[0,4,28],[0,5,40],[1,2,12],[1,4,83],[1,5,90],[2,3,91],[2,5,100],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (0,4)=28, w=40\",\"Add (0,3)=40, w=80\",\"Add (0,5)=40, w=120\",\"Add (0,2)=52, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,40],[0,4,28],[0,5,40],[1,2,12],[1,4,83],[1,5,90],[2,3,91],[2,5,100],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (0,4)=28 Succeeded, w=40\",\"Add (0,3)=40 Succeeded, w=80\",\"Add (0,5)=40 Succeeded, w=120\",\"Add (0,2)=52 Succeeded, w=172\",\"Add (1,4)=83 Failed, w=172\",\"Add (3,4)=84 Failed, w=172\",\"Add (1,5)=90 Failed, w=172\",\"Add (2,3)=91 Failed, w=172\",\"Add (2,5)=100 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,40],[0,4,28],[0,5,40],[1,2,12],[1,4,83],[1,5,90],[2,3,91],[2,5,100],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,4)=28,(0,3)=40,(0,5)=40,(0,2)=52,(1,4)=83,(3,4)=84,(1,5)=90,(2,3)=91,(2,5)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=40\",\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=80\",\"Find(0)=0, Find(5)=5, Add (0,5)=40 Succeeded, w=120\",\"Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=172\",\"Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=172\",\"Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=172\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=172\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=172\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,40],[0,4,28],[0,5,40],[1,2,12],[1,4,83],[1,5,90],[2,3,91],[2,5,100],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,4)=28,(0,3)=40,(0,5)=40,(0,2)=52,(1,4)=83,(3,4)=84,(1,5)=90,(2,3)=91,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=40 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,41],[0,4,8],[0,5,19],[0,6,35],[0,7,28],[1,4,19],[1,5,93],[1,6,43],[1,7,82],[2,3,63],[2,6,74],[3,5,95],[3,6,52],[3,7,100],[4,5,10],[4,7,96],[5,6,79],[6,7,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,41],[0,4,8],[0,5,19],[0,6,35],[0,7,28],[1,4,19],[1,5,93],[1,6,43],[1,7,82],[2,3,63],[2,6,74],[3,5,95],[3,6,52],[3,7,100],[4,5,10],[4,7,96],[5,6,79],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,41],[0,4,8],[0,5,19],[0,6,35],[0,7,28],[1,4,19],[1,5,93],[1,6,43],[1,7,82],[2,3,63],[2,6,74],[3,5,95],[3,6,52],[3,7,100],[4,5,10],[4,7,96],[5,6,79],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (0,7)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (3,6)\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,41],[0,4,8],[0,5,19],[0,6,35],[0,7,28],[1,4,19],[1,5,93],[1,6,43],[1,7,82],[2,3,63],[2,6,74],[3,5,95],[3,6,52],[3,7,100],[4,5,10],[4,7,96],[5,6,79],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8, w=8\",\"Add (4,5)=10, w=18\",\"Add (1,4)=19, w=37\",\"Add (0,7)=28, w=65\",\"Add (0,6)=35, w=100\",\"Add (0,2)=41, w=141\",\"Add (3,6)=52, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,41],[0,4,8],[0,5,19],[0,6,35],[0,7,28],[1,4,19],[1,5,93],[1,6,43],[1,7,82],[2,3,63],[2,6,74],[3,5,95],[3,6,52],[3,7,100],[4,5,10],[4,7,96],[5,6,79],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8 Succeeded, w=8\",\"Add (4,5)=10 Succeeded, w=18\",\"Add (0,5)=19 Failed, w=18\",\"Add (1,4)=19 Succeeded, w=37\",\"Add (0,7)=28 Succeeded, w=65\",\"Add (0,6)=35 Succeeded, w=100\",\"Add (0,2)=41 Succeeded, w=141\",\"Add (1,6)=43 Failed, w=141\",\"Add (3,6)=52 Succeeded, w=193\",\"Add (6,7)=55 Failed, w=193\",\"Add (2,3)=63 Failed, w=193\",\"Add (2,6)=74 Failed, w=193\",\"Add (5,6)=79 Failed, w=193\",\"Add (1,7)=82 Failed, w=193\",\"Add (1,5)=93 Failed, w=193\",\"Add (3,5)=95 Failed, w=193\",\"Add (4,7)=96 Failed, w=193\",\"Add (3,7)=100 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,41],[0,4,8],[0,5,19],[0,6,35],[0,7,28],[1,4,19],[1,5,93],[1,6,43],[1,7,82],[2,3,63],[2,6,74],[3,5,95],[3,6,52],[3,7,100],[4,5,10],[4,7,96],[5,6,79],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(4,5)=10,(0,5)=19,(1,4)=19,(0,7)=28,(0,6)=35,(0,2)=41,(1,6)=43,(3,6)=52,(6,7)=55,(2,3)=63,(2,6)=74,(5,6)=79,(1,7)=82,(1,5)=93,(3,5)=95,(4,7)=96,(3,7)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Find(0)=0, Find(5)=0, Add (0,5)=19 Failed, w=18\",\"Find(1)=1, Find(4)=0, Add (1,4)=19 Succeeded, w=37\",\"Find(0)=0, Find(7)=7, Add (0,7)=28 Succeeded, w=65\",\"Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=100\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=141\",\"Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=141\",\"Find(3)=3, Find(6)=0, Add (3,6)=52 Succeeded, w=193\",\"Find(6)=0, Find(7)=0, Add (6,7)=55 Failed, w=193\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=193\",\"Find(2)=0, Find(6)=0, Add (2,6)=74 Failed, w=193\",\"Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=193\",\"Find(1)=0, Find(7)=0, Add (1,7)=82 Failed, w=193\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=193\",\"Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=193\",\"Find(4)=0, Find(7)=0, Add (4,7)=96 Failed, w=193\",\"Find(3)=0, Find(7)=0, Add (3,7)=100 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,41],[0,4,8],[0,5,19],[0,6,35],[0,7,28],[1,4,19],[1,5,93],[1,6,43],[1,7,82],[2,3,63],[2,6,74],[3,5,95],[3,6,52],[3,7,100],[4,5,10],[4,7,96],[5,6,79],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(4,5)=10,(0,5)=19,(1,4)=19,(0,7)=28,(0,6)=35,(0,2)=41,(1,6)=43,(3,6)=52,(6,7)=55,(2,3)=63,(2,6)=74,(5,6)=79,(1,7)=82,(1,5)=93,(3,5)=95,(4,7)=96,(3,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=19 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=28 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(6)=0, Add (3,6)=52 Succeeded, w=193\",\"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)=55 Failed, w=193\",\"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)=63 Failed, w=193\",\"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)=74 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=79 Failed, w=193\",\"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)=82 Failed, w=193\",\"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)=93 Failed, w=193\",\"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)=95 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=96 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=100 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,88],[0,3,48],[1,3,69],[2,3,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,48],[1,3,69],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,48],[1,3,69],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,48],[1,3,69],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=48, w=48\",\"Add (1,3)=69, w=117\",\"Add (2,3)=77, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,48],[1,3,69],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=48 Succeeded, w=48\",\"Add (1,3)=69 Succeeded, w=117\",\"Add (2,3)=77 Succeeded, w=194\",\"Add (0,1)=88 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,48],[1,3,69],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=48,(1,3)=69,(2,3)=77,(0,1)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=48\",\"Find(1)=1, Find(3)=0, Add (1,3)=69 Succeeded, w=117\",\"Find(2)=2, Find(3)=0, Add (2,3)=77 Succeeded, w=194\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,3,48],[1,3,69],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=48,(1,3)=69,(2,3)=77,(0,1)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=69 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=77 Succeeded, w=194\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,19],[0,2,32],[0,3,70],[0,4,83],[0,6,83],[1,2,19],[1,3,21],[1,4,48],[1,5,8],[1,6,47],[2,3,51],[2,4,66],[2,6,63],[4,5,42],[4,6,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,32],[0,3,70],[0,4,83],[0,6,83],[1,2,19],[1,3,21],[1,4,48],[1,5,8],[1,6,47],[2,3,51],[2,4,66],[2,6,63],[4,5,42],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,32],[0,3,70],[0,4,83],[0,6,83],[1,2,19],[1,3,21],[1,4,48],[1,5,8],[1,6,47],[2,3,51],[2,4,66],[2,6,63],[4,5,42],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (1,6)\"],\"Answer\":156}",
"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],[0,2,32],[0,3,70],[0,4,83],[0,6,83],[1,2,19],[1,3,21],[1,4,48],[1,5,8],[1,6,47],[2,3,51],[2,4,66],[2,6,63],[4,5,42],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8, w=8\",\"Add (0,1)=19, w=27\",\"Add (1,2)=19, w=46\",\"Add (1,3)=21, w=67\",\"Add (4,5)=42, w=109\",\"Add (1,6)=47, w=156\"],\"Answer\":156}",
"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],[0,2,32],[0,3,70],[0,4,83],[0,6,83],[1,2,19],[1,3,21],[1,4,48],[1,5,8],[1,6,47],[2,3,51],[2,4,66],[2,6,63],[4,5,42],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8 Succeeded, w=8\",\"Add (0,1)=19 Succeeded, w=27\",\"Add (1,2)=19 Succeeded, w=46\",\"Add (1,3)=21 Succeeded, w=67\",\"Add (0,2)=32 Failed, w=67\",\"Add (4,5)=42 Succeeded, w=109\",\"Add (1,6)=47 Succeeded, w=156\",\"Add (1,4)=48 Failed, w=156\",\"Add (2,3)=51 Failed, w=156\",\"Add (2,6)=63 Failed, w=156\",\"Add (2,4)=66 Failed, w=156\",\"Add (0,3)=70 Failed, w=156\",\"Add (4,6)=70 Failed, w=156\",\"Add (0,4)=83 Failed, w=156\",\"Add (0,6)=83 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,32],[0,3,70],[0,4,83],[0,6,83],[1,2,19],[1,3,21],[1,4,48],[1,5,8],[1,6,47],[2,3,51],[2,4,66],[2,6,63],[4,5,42],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(0,1)=19,(1,2)=19,(1,3)=21,(0,2)=32,(4,5)=42,(1,6)=47,(1,4)=48,(2,3)=51,(2,6)=63,(2,4)=66,(0,3)=70,(4,6)=70,(0,4)=83,(0,6)=83]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=27\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=46\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=67\",\"Find(0)=1, Find(2)=1, Add (0,2)=32 Failed, w=67\",\"Find(4)=4, Find(5)=1, Add (4,5)=42 Succeeded, w=109\",\"Find(1)=1, Find(6)=6, Add (1,6)=47 Succeeded, w=156\",\"Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=156\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=156\",\"Find(2)=1, Find(6)=1, Add (2,6)=63 Failed, w=156\",\"Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=156\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=156\",\"Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=156\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=156\",\"Find(0)=1, Find(6)=1, Add (0,6)=83 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,32],[0,3,70],[0,4,83],[0,6,83],[1,2,19],[1,3,21],[1,4,48],[1,5,8],[1,6,47],[2,3,51],[2,4,66],[2,6,63],[4,5,42],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(0,1)=19,(1,2)=19,(1,3)=21,(0,2)=32,(4,5)=42,(1,6)=47,(1,4)=48,(2,3)=51,(2,6)=63,(2,4)=66,(0,3)=70,(4,6)=70,(0,4)=83,(0,6)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(0)=1, Find(2)=1, Add (0,2)=32 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(4)=4, Find(5)=1, Add (4,5)=42 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=47 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=156\",\"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=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=63 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=156\",\"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=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=83 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[1,2,96],[1,3,38],[2,3,69],[2,4,24],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[1,2,96],[1,3,38],[2,3,69],[2,4,24],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[1,2,96],[1,3,38],[2,3,69],[2,4,24],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[1,2,96],[1,3,38],[2,3,69],[2,4,24],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=24, w=24\",\"Add (1,3)=38, w=62\",\"Add (2,3)=69, w=131\",\"Add (0,1)=77, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[1,2,96],[1,3,38],[2,3,69],[2,4,24],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=24 Succeeded, w=24\",\"Add (1,3)=38 Succeeded, w=62\",\"Add (2,3)=69 Succeeded, w=131\",\"Add (0,1)=77 Succeeded, w=208\",\"Add (3,4)=94 Failed, w=208\",\"Add (1,2)=96 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[1,2,96],[1,3,38],[2,3,69],[2,4,24],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=24,(1,3)=38,(2,3)=69,(0,1)=77,(3,4)=94,(1,2)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=62\",\"Find(2)=2, Find(3)=1, Add (2,3)=69 Succeeded, w=131\",\"Find(0)=0, Find(1)=2, Add (0,1)=77 Succeeded, w=208\",\"Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=208\",\"Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[1,2,96],[1,3,38],[2,3,69],[2,4,24],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=24,(1,3)=38,(2,3)=69,(0,1)=77,(3,4)=94,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=62\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=69 Succeeded, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=77 Succeeded, w=208\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=208\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,50],[0,2,31],[0,3,40],[0,4,12],[1,2,32],[1,3,74],[1,4,7],[1,5,53],[1,6,90],[2,3,70],[2,4,21],[2,6,73],[3,4,39],[3,5,85],[3,6,3],[4,6,81],[5,6,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,2,31],[0,3,40],[0,4,12],[1,2,32],[1,3,74],[1,4,7],[1,5,53],[1,6,90],[2,3,70],[2,4,21],[2,6,73],[3,4,39],[3,5,85],[3,6,3],[4,6,81],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,2,31],[0,3,40],[0,4,12],[1,2,32],[1,3,74],[1,4,7],[1,5,53],[1,6,90],[2,3,70],[2,4,21],[2,6,73],[3,4,39],[3,5,85],[3,6,3],[4,6,81],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,2,31],[0,3,40],[0,4,12],[1,2,32],[1,3,74],[1,4,7],[1,5,53],[1,6,90],[2,3,70],[2,4,21],[2,6,73],[3,4,39],[3,5,85],[3,6,3],[4,6,81],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3, w=3\",\"Add (1,4)=7, w=10\",\"Add (0,4)=12, w=22\",\"Add (2,4)=21, w=43\",\"Add (3,4)=39, w=82\",\"Add (1,5)=53, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,2,31],[0,3,40],[0,4,12],[1,2,32],[1,3,74],[1,4,7],[1,5,53],[1,6,90],[2,3,70],[2,4,21],[2,6,73],[3,4,39],[3,5,85],[3,6,3],[4,6,81],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3 Succeeded, w=3\",\"Add (1,4)=7 Succeeded, w=10\",\"Add (0,4)=12 Succeeded, w=22\",\"Add (2,4)=21 Succeeded, w=43\",\"Add (0,2)=31 Failed, w=43\",\"Add (1,2)=32 Failed, w=43\",\"Add (3,4)=39 Succeeded, w=82\",\"Add (0,3)=40 Failed, w=82\",\"Add (0,1)=50 Failed, w=82\",\"Add (1,5)=53 Succeeded, w=135\",\"Add (2,3)=70 Failed, w=135\",\"Add (2,6)=73 Failed, w=135\",\"Add (1,3)=74 Failed, w=135\",\"Add (4,6)=81 Failed, w=135\",\"Add (3,5)=85 Failed, w=135\",\"Add (1,6)=90 Failed, w=135\",\"Add (5,6)=94 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,2,31],[0,3,40],[0,4,12],[1,2,32],[1,3,74],[1,4,7],[1,5,53],[1,6,90],[2,3,70],[2,4,21],[2,6,73],[3,4,39],[3,5,85],[3,6,3],[4,6,81],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(1,4)=7,(0,4)=12,(2,4)=21,(0,2)=31,(1,2)=32,(3,4)=39,(0,3)=40,(0,1)=50,(1,5)=53,(2,3)=70,(2,6)=73,(1,3)=74,(4,6)=81,(3,5)=85,(1,6)=90,(5,6)=94]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=10\",\"Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=22\",\"Find(2)=2, Find(4)=1, Add (2,4)=21 Succeeded, w=43\",\"Find(0)=1, Find(2)=1, Add (0,2)=31 Failed, w=43\",\"Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=43\",\"Find(3)=3, Find(4)=1, Add (3,4)=39 Succeeded, w=82\",\"Find(0)=3, Find(3)=3, Add (0,3)=40 Failed, w=82\",\"Find(0)=3, Find(1)=3, Add (0,1)=50 Failed, w=82\",\"Find(1)=3, Find(5)=5, Add (1,5)=53 Succeeded, w=135\",\"Find(2)=3, Find(3)=3, Add (2,3)=70 Failed, w=135\",\"Find(2)=3, Find(6)=3, Add (2,6)=73 Failed, w=135\",\"Find(1)=3, Find(3)=3, Add (1,3)=74 Failed, w=135\",\"Find(4)=3, Find(6)=3, Add (4,6)=81 Failed, w=135\",\"Find(3)=3, Find(5)=3, Add (3,5)=85 Failed, w=135\",\"Find(1)=3, Find(6)=3, Add (1,6)=90 Failed, w=135\",\"Find(5)=3, Find(6)=3, Add (5,6)=94 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,50],[0,2,31],[0,3,40],[0,4,12],[1,2,32],[1,3,74],[1,4,7],[1,5,53],[1,6,90],[2,3,70],[2,4,21],[2,6,73],[3,4,39],[3,5,85],[3,6,3],[4,6,81],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(1,4)=7,(0,4)=12,(2,4)=21,(0,2)=31,(1,2)=32,(3,4)=39,(0,3)=40,(0,1)=50,(1,5)=53,(2,3)=70,(2,6)=73,(1,3)=74,(4,6)=81,(3,5)=85,(1,6)=90,(5,6)=94]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 3}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 3}, Find(0)=0, Find(4)=1, Add (0,4)=12 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3}, Find(2)=2, Find(4)=1, Add (2,4)=21 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3}, Find(0)=1, Find(2)=1, Add (0,2)=31 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3}, Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=43\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3}, Find(3)=3, Find(4)=1, Add (3,4)=39 Succeeded, w=82\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=40 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 1, 5: 5, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=50 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 1, 5: 3, 6: 3}, Find(1)=3, Find(5)=5, Add (1,5)=53 Succeeded, w=135\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=70 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=73 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=74 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=81 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=85 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=90 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=94 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,87],[0,2,64],[0,3,93],[2,3,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,64],[0,3,93],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,64],[0,3,93],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,64],[0,3,93],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=39, w=39\",\"Add (0,2)=64, w=103\",\"Add (0,1)=87, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,64],[0,3,93],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=39 Succeeded, w=39\",\"Add (0,2)=64 Succeeded, w=103\",\"Add (0,1)=87 Succeeded, w=190\",\"Add (0,3)=93 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,64],[0,3,93],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=39,(0,2)=64,(0,1)=87,(0,3)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=39\",\"Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=103\",\"Find(0)=2, Find(1)=1, Add (0,1)=87 Succeeded, w=190\",\"Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,64],[0,3,93],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=39,(0,2)=64,(0,1)=87,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=87 Succeeded, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=93 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,51],[0,2,11],[0,3,58],[0,4,18],[0,5,85],[0,6,29],[1,2,20],[1,3,43],[1,4,16],[1,5,26],[1,6,40],[2,3,22],[2,4,37],[2,5,72],[2,6,5],[3,4,56],[3,5,77],[3,6,37],[4,5,62],[4,6,67],[5,6,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,11],[0,3,58],[0,4,18],[0,5,85],[0,6,29],[1,2,20],[1,3,43],[1,4,16],[1,5,26],[1,6,40],[2,3,22],[2,4,37],[2,5,72],[2,6,5],[3,4,56],[3,5,77],[3,6,37],[4,5,62],[4,6,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,11],[0,3,58],[0,4,18],[0,5,85],[0,6,29],[1,2,20],[1,3,43],[1,4,16],[1,5,26],[1,6,40],[2,3,22],[2,4,37],[2,5,72],[2,6,5],[3,4,56],[3,5,77],[3,6,37],[4,5,62],[4,6,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,5)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,11],[0,3,58],[0,4,18],[0,5,85],[0,6,29],[1,2,20],[1,3,43],[1,4,16],[1,5,26],[1,6,40],[2,3,22],[2,4,37],[2,5,72],[2,6,5],[3,4,56],[3,5,77],[3,6,37],[4,5,62],[4,6,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5, w=5\",\"Add (0,2)=11, w=16\",\"Add (1,4)=16, w=32\",\"Add (0,4)=18, w=50\",\"Add (2,3)=22, w=72\",\"Add (1,5)=26, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,11],[0,3,58],[0,4,18],[0,5,85],[0,6,29],[1,2,20],[1,3,43],[1,4,16],[1,5,26],[1,6,40],[2,3,22],[2,4,37],[2,5,72],[2,6,5],[3,4,56],[3,5,77],[3,6,37],[4,5,62],[4,6,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5 Succeeded, w=5\",\"Add (0,2)=11 Succeeded, w=16\",\"Add (1,4)=16 Succeeded, w=32\",\"Add (0,4)=18 Succeeded, w=50\",\"Add (1,2)=20 Failed, w=50\",\"Add (2,3)=22 Succeeded, w=72\",\"Add (1,5)=26 Succeeded, w=98\",\"Add (0,6)=29 Failed, w=98\",\"Add (2,4)=37 Failed, w=98\",\"Add (3,6)=37 Failed, w=98\",\"Add (1,6)=40 Failed, w=98\",\"Add (1,3)=43 Failed, w=98\",\"Add (0,1)=51 Failed, w=98\",\"Add (3,4)=56 Failed, w=98\",\"Add (0,3)=58 Failed, w=98\",\"Add (4,5)=62 Failed, w=98\",\"Add (4,6)=67 Failed, w=98\",\"Add (5,6)=71 Failed, w=98\",\"Add (2,5)=72 Failed, w=98\",\"Add (3,5)=77 Failed, w=98\",\"Add (0,5)=85 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,11],[0,3,58],[0,4,18],[0,5,85],[0,6,29],[1,2,20],[1,3,43],[1,4,16],[1,5,26],[1,6,40],[2,3,22],[2,4,37],[2,5,72],[2,6,5],[3,4,56],[3,5,77],[3,6,37],[4,5,62],[4,6,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(0,2)=11,(1,4)=16,(0,4)=18,(1,2)=20,(2,3)=22,(1,5)=26,(0,6)=29,(2,4)=37,(3,6)=37,(1,6)=40,(1,3)=43,(0,1)=51,(3,4)=56,(0,3)=58,(4,5)=62,(4,6)=67,(5,6)=71,(2,5)=72,(3,5)=77,(0,5)=85]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=32\",\"Find(0)=2, Find(4)=1, Add (0,4)=18 Succeeded, w=50\",\"Find(1)=2, Find(2)=2, Add (1,2)=20 Failed, w=50\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=72\",\"Find(1)=2, Find(5)=5, Add (1,5)=26 Succeeded, w=98\",\"Find(0)=2, Find(6)=2, Add (0,6)=29 Failed, w=98\",\"Find(2)=2, Find(4)=2, Add (2,4)=37 Failed, w=98\",\"Find(3)=2, Find(6)=2, Add (3,6)=37 Failed, w=98\",\"Find(1)=2, Find(6)=2, Add (1,6)=40 Failed, w=98\",\"Find(1)=2, Find(3)=2, Add (1,3)=43 Failed, w=98\",\"Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=98\",\"Find(3)=2, Find(4)=2, Add (3,4)=56 Failed, w=98\",\"Find(0)=2, Find(3)=2, Add (0,3)=58 Failed, w=98\",\"Find(4)=2, Find(5)=2, Add (4,5)=62 Failed, w=98\",\"Find(4)=2, Find(6)=2, Add (4,6)=67 Failed, w=98\",\"Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=98\",\"Find(2)=2, Find(5)=2, Add (2,5)=72 Failed, w=98\",\"Find(3)=2, Find(5)=2, Add (3,5)=77 Failed, w=98\",\"Find(0)=2, Find(5)=2, Add (0,5)=85 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,11],[0,3,58],[0,4,18],[0,5,85],[0,6,29],[1,2,20],[1,3,43],[1,4,16],[1,5,26],[1,6,40],[2,3,22],[2,4,37],[2,5,72],[2,6,5],[3,4,56],[3,5,77],[3,6,37],[4,5,62],[4,6,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(0,2)=11,(1,4)=16,(0,4)=18,(1,2)=20,(2,3)=22,(1,5)=26,(0,6)=29,(2,4)=37,(3,6)=37,(1,6)=40,(1,3)=43,(0,1)=51,(3,4)=56,(0,3)=58,(4,5)=62,(4,6)=67,(5,6)=71,(2,5)=72,(3,5)=77,(0,5)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=32\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2}, Find(0)=2, Find(4)=1, Add (0,4)=18 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=20 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 5, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(1)=2, Find(5)=5, Add (1,5)=26 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=29 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=37 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=37 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=40 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=43 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=51 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=56 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=58 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=62 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=67 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=72 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=77 Failed, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=85 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,34],[0,2,97],[0,3,6],[0,4,56],[0,5,41],[1,2,55],[1,3,99],[1,4,22],[1,5,64],[2,3,86],[2,4,96],[2,5,77],[3,4,16],[3,5,21],[4,5,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,97],[0,3,6],[0,4,56],[0,5,41],[1,2,55],[1,3,99],[1,4,22],[1,5,64],[2,3,86],[2,4,96],[2,5,77],[3,4,16],[3,5,21],[4,5,95]]}",
"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\":[[0,1,34],[0,2,97],[0,3,6],[0,4,56],[0,5,41],[1,2,55],[1,3,99],[1,4,22],[1,5,64],[2,3,86],[2,4,96],[2,5,77],[3,4,16],[3,5,21],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (1,2)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,97],[0,3,6],[0,4,56],[0,5,41],[1,2,55],[1,3,99],[1,4,22],[1,5,64],[2,3,86],[2,4,96],[2,5,77],[3,4,16],[3,5,21],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (3,4)=16, w=22\",\"Add (3,5)=21, w=43\",\"Add (1,4)=22, w=65\",\"Add (1,2)=55, 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\":[[0,1,34],[0,2,97],[0,3,6],[0,4,56],[0,5,41],[1,2,55],[1,3,99],[1,4,22],[1,5,64],[2,3,86],[2,4,96],[2,5,77],[3,4,16],[3,5,21],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (3,4)=16 Succeeded, w=22\",\"Add (3,5)=21 Succeeded, w=43\",\"Add (1,4)=22 Succeeded, w=65\",\"Add (0,1)=34 Failed, w=65\",\"Add (0,5)=41 Failed, w=65\",\"Add (1,2)=55 Succeeded, w=120\",\"Add (0,4)=56 Failed, w=120\",\"Add (1,5)=64 Failed, w=120\",\"Add (2,5)=77 Failed, w=120\",\"Add (2,3)=86 Failed, w=120\",\"Add (4,5)=95 Failed, w=120\",\"Add (2,4)=96 Failed, w=120\",\"Add (0,2)=97 Failed, w=120\",\"Add (1,3)=99 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\":[[0,1,34],[0,2,97],[0,3,6],[0,4,56],[0,5,41],[1,2,55],[1,3,99],[1,4,22],[1,5,64],[2,3,86],[2,4,96],[2,5,77],[3,4,16],[3,5,21],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(3,4)=16,(3,5)=21,(1,4)=22,(0,1)=34,(0,5)=41,(1,2)=55,(0,4)=56,(1,5)=64,(2,5)=77,(2,3)=86,(4,5)=95,(2,4)=96,(0,2)=97,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(3)=0, Find(4)=4, Add (3,4)=16 Succeeded, w=22\",\"Find(3)=0, Find(5)=5, Add (3,5)=21 Succeeded, w=43\",\"Find(1)=1, Find(4)=0, Add (1,4)=22 Succeeded, w=65\",\"Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=65\",\"Find(0)=0, Find(5)=0, Add (0,5)=41 Failed, w=65\",\"Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=120\",\"Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=120\",\"Find(1)=0, Find(5)=0, Add (1,5)=64 Failed, w=120\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=120\",\"Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=120\",\"Find(4)=0, Find(5)=0, Add (4,5)=95 Failed, w=120\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=120\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=120\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 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\":[[0,1,34],[0,2,97],[0,3,6],[0,4,56],[0,5,41],[1,2,55],[1,3,99],[1,4,22],[1,5,64],[2,3,86],[2,4,96],[2,5,77],[3,4,16],[3,5,21],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(3,4)=16,(3,5)=21,(1,4)=22,(0,1)=34,(0,5)=41,(1,2)=55,(0,4)=56,(1,5)=64,(2,5)=77,(2,3)=86,(4,5)=95,(2,4)=96,(0,2)=97,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=16 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=21 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=22 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=41 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=64 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=95 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,56],[0,4,34],[0,5,69],[1,3,48],[1,4,32],[1,5,40],[2,3,5],[2,4,27],[2,5,59],[3,4,65],[3,5,38],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,56],[0,4,34],[0,5,69],[1,3,48],[1,4,32],[1,5,40],[2,3,5],[2,4,27],[2,5,59],[3,4,65],[3,5,38],[4,5,8]]}",
"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],\"edges\":[[0,3,56],[0,4,34],[0,5,69],[1,3,48],[1,4,32],[1,5,40],[2,3,5],[2,4,27],[2,5,59],[3,4,65],[3,5,38],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,56],[0,4,34],[0,5,69],[1,3,48],[1,4,32],[1,5,40],[2,3,5],[2,4,27],[2,5,59],[3,4,65],[3,5,38],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (4,5)=8, w=13\",\"Add (2,4)=27, w=40\",\"Add (1,4)=32, w=72\",\"Add (0,4)=34, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,56],[0,4,34],[0,5,69],[1,3,48],[1,4,32],[1,5,40],[2,3,5],[2,4,27],[2,5,59],[3,4,65],[3,5,38],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (4,5)=8 Succeeded, w=13\",\"Add (2,4)=27 Succeeded, w=40\",\"Add (1,4)=32 Succeeded, w=72\",\"Add (0,4)=34 Succeeded, w=106\",\"Add (3,5)=38 Failed, w=106\",\"Add (1,5)=40 Failed, w=106\",\"Add (1,3)=48 Failed, w=106\",\"Add (0,3)=56 Failed, w=106\",\"Add (2,5)=59 Failed, w=106\",\"Add (3,4)=65 Failed, w=106\",\"Add (0,5)=69 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],\"edges\":[[0,3,56],[0,4,34],[0,5,69],[1,3,48],[1,4,32],[1,5,40],[2,3,5],[2,4,27],[2,5,59],[3,4,65],[3,5,38],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(4,5)=8,(2,4)=27,(1,4)=32,(0,4)=34,(3,5)=38,(1,5)=40,(1,3)=48,(0,3)=56,(2,5)=59,(3,4)=65,(0,5)=69]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=40\",\"Find(1)=1, Find(4)=2, Add (1,4)=32 Succeeded, w=72\",\"Find(0)=0, Find(4)=2, Add (0,4)=34 Succeeded, w=106\",\"Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=106\",\"Find(1)=2, Find(5)=2, Add (1,5)=40 Failed, w=106\",\"Find(1)=2, Find(3)=2, Add (1,3)=48 Failed, w=106\",\"Find(0)=2, Find(3)=2, Add (0,3)=56 Failed, w=106\",\"Find(2)=2, Find(5)=2, Add (2,5)=59 Failed, w=106\",\"Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=106\",\"Find(0)=2, Find(5)=2, Add (0,5)=69 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],\"edges\":[[0,3,56],[0,4,34],[0,5,69],[1,3,48],[1,4,32],[1,5,40],[2,3,5],[2,4,27],[2,5,59],[3,4,65],[3,5,38],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(4,5)=8,(2,4)=27,(1,4)=32,(0,4)=34,(3,5)=38,(1,5)=40,(1,3)=48,(0,3)=56,(2,5)=59,(3,4)=65,(0,5)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=40\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(1)=1, Find(4)=2, Add (1,4)=32 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=0, Find(4)=2, Add (0,4)=34 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=40 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=48 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=56 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=59 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=69 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,76],[0,2,12],[0,3,14],[0,5,89],[0,6,34],[1,2,32],[1,3,62],[1,4,85],[1,5,75],[1,6,6],[2,3,17],[2,4,57],[2,5,67],[2,6,50],[3,4,72],[3,5,100],[3,6,85],[4,5,42],[4,6,70],[5,6,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,12],[0,3,14],[0,5,89],[0,6,34],[1,2,32],[1,3,62],[1,4,85],[1,5,75],[1,6,6],[2,3,17],[2,4,57],[2,5,67],[2,6,50],[3,4,72],[3,5,100],[3,6,85],[4,5,42],[4,6,70],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,12],[0,3,14],[0,5,89],[0,6,34],[1,2,32],[1,3,62],[1,4,85],[1,5,75],[1,6,6],[2,3,17],[2,4,57],[2,5,67],[2,6,50],[3,4,72],[3,5,100],[3,6,85],[4,5,42],[4,6,70],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (5,6)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,12],[0,3,14],[0,5,89],[0,6,34],[1,2,32],[1,3,62],[1,4,85],[1,5,75],[1,6,6],[2,3,17],[2,4,57],[2,5,67],[2,6,50],[3,4,72],[3,5,100],[3,6,85],[4,5,42],[4,6,70],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=6, w=6\",\"Add (0,2)=12, w=18\",\"Add (0,3)=14, w=32\",\"Add (1,2)=32, w=64\",\"Add (4,5)=42, w=106\",\"Add (5,6)=47, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,12],[0,3,14],[0,5,89],[0,6,34],[1,2,32],[1,3,62],[1,4,85],[1,5,75],[1,6,6],[2,3,17],[2,4,57],[2,5,67],[2,6,50],[3,4,72],[3,5,100],[3,6,85],[4,5,42],[4,6,70],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=6 Succeeded, w=6\",\"Add (0,2)=12 Succeeded, w=18\",\"Add (0,3)=14 Succeeded, w=32\",\"Add (2,3)=17 Failed, w=32\",\"Add (1,2)=32 Succeeded, w=64\",\"Add (0,6)=34 Failed, w=64\",\"Add (4,5)=42 Succeeded, w=106\",\"Add (5,6)=47 Succeeded, w=153\",\"Add (2,6)=50 Failed, w=153\",\"Add (2,4)=57 Failed, w=153\",\"Add (1,3)=62 Failed, w=153\",\"Add (2,5)=67 Failed, w=153\",\"Add (4,6)=70 Failed, w=153\",\"Add (3,4)=72 Failed, w=153\",\"Add (1,5)=75 Failed, w=153\",\"Add (0,1)=76 Failed, w=153\",\"Add (1,4)=85 Failed, w=153\",\"Add (3,6)=85 Failed, w=153\",\"Add (0,5)=89 Failed, w=153\",\"Add (3,5)=100 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,12],[0,3,14],[0,5,89],[0,6,34],[1,2,32],[1,3,62],[1,4,85],[1,5,75],[1,6,6],[2,3,17],[2,4,57],[2,5,67],[2,6,50],[3,4,72],[3,5,100],[3,6,85],[4,5,42],[4,6,70],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=6,(0,2)=12,(0,3)=14,(2,3)=17,(1,2)=32,(0,6)=34,(4,5)=42,(5,6)=47,(2,6)=50,(2,4)=57,(1,3)=62,(2,5)=67,(4,6)=70,(3,4)=72,(1,5)=75,(0,1)=76,(1,4)=85,(3,6)=85,(0,5)=89,(3,5)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=32\",\"Find(2)=0, Find(3)=0, Add (2,3)=17 Failed, w=32\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=64\",\"Find(0)=1, Find(6)=1, Add (0,6)=34 Failed, w=64\",\"Find(4)=4, Find(5)=5, Add (4,5)=42 Succeeded, w=106\",\"Find(5)=4, Find(6)=1, Add (5,6)=47 Succeeded, w=153\",\"Find(2)=1, Find(6)=1, Add (2,6)=50 Failed, w=153\",\"Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=153\",\"Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=153\",\"Find(2)=1, Find(5)=1, Add (2,5)=67 Failed, w=153\",\"Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=153\",\"Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=153\",\"Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=153\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=153\",\"Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=153\",\"Find(3)=1, Find(6)=1, Add (3,6)=85 Failed, w=153\",\"Find(0)=1, Find(5)=1, Add (0,5)=89 Failed, w=153\",\"Find(3)=1, Find(5)=1, Add (3,5)=100 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,12],[0,3,14],[0,5,89],[0,6,34],[1,2,32],[1,3,62],[1,4,85],[1,5,75],[1,6,6],[2,3,17],[2,4,57],[2,5,67],[2,6,50],[3,4,72],[3,5,100],[3,6,85],[4,5,42],[4,6,70],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=6,(0,2)=12,(0,3)=14,(2,3)=17,(1,2)=32,(0,6)=34,(4,5)=42,(5,6)=47,(2,6)=50,(2,4)=57,(1,3)=62,(2,5)=67,(4,6)=70,(3,4)=72,(1,5)=75,(0,1)=76,(1,4)=85,(3,6)=85,(0,5)=89,(3,5)=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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1}, Find(2)=0, Find(3)=0, Add (2,3)=17 Failed, w=32\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=34 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 1}, Find(4)=4, Find(5)=5, Add (4,5)=42 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 4, 6: 1}, Find(5)=4, Find(6)=1, Add (5,6)=47 Succeeded, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=50 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=67 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=153\",\"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=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=89 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=100 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,91],[0,2,94],[0,3,58],[0,4,2],[0,5,4],[1,2,44],[2,3,60],[2,4,21],[2,5,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,94],[0,3,58],[0,4,2],[0,5,4],[1,2,44],[2,3,60],[2,4,21],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,94],[0,3,58],[0,4,2],[0,5,4],[1,2,44],[2,3,60],[2,4,21],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,94],[0,3,58],[0,4,2],[0,5,4],[1,2,44],[2,3,60],[2,4,21],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (0,5)=4, w=6\",\"Add (2,4)=21, w=27\",\"Add (1,2)=44, w=71\",\"Add (0,3)=58, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,94],[0,3,58],[0,4,2],[0,5,4],[1,2,44],[2,3,60],[2,4,21],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (0,5)=4 Succeeded, w=6\",\"Add (2,4)=21 Succeeded, w=27\",\"Add (1,2)=44 Succeeded, w=71\",\"Add (0,3)=58 Succeeded, w=129\",\"Add (2,3)=60 Failed, w=129\",\"Add (2,5)=64 Failed, w=129\",\"Add (0,1)=91 Failed, w=129\",\"Add (0,2)=94 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,94],[0,3,58],[0,4,2],[0,5,4],[1,2,44],[2,3,60],[2,4,21],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(0,5)=4,(2,4)=21,(1,2)=44,(0,3)=58,(2,3)=60,(2,5)=64,(0,1)=91,(0,2)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=6\",\"Find(2)=2, Find(4)=0, Add (2,4)=21 Succeeded, w=27\",\"Find(1)=1, Find(2)=0, Add (1,2)=44 Succeeded, w=71\",\"Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=129\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=129\",\"Find(2)=0, Find(5)=0, Add (2,5)=64 Failed, w=129\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=129\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,2,94],[0,3,58],[0,4,2],[0,5,4],[1,2,44],[2,3,60],[2,4,21],[2,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(0,5)=4,(2,4)=21,(1,2)=44,(0,3)=58,(2,3)=60,(2,5)=64,(0,1)=91,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=21 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=44 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=58 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=64 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=129\",\"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=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,79],[0,2,0],[0,3,31],[0,4,97],[0,5,67],[1,2,24],[1,4,77],[1,5,0],[2,3,78],[2,4,22],[2,5,23],[3,4,29],[3,5,27],[4,5,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,0],[0,3,31],[0,4,97],[0,5,67],[1,2,24],[1,4,77],[1,5,0],[2,3,78],[2,4,22],[2,5,23],[3,4,29],[3,5,27],[4,5,75]]}",
"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\":[[0,1,79],[0,2,0],[0,3,31],[0,4,97],[0,5,67],[1,2,24],[1,4,77],[1,5,0],[2,3,78],[2,4,22],[2,5,23],[3,4,29],[3,5,27],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (3,5)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,0],[0,3,31],[0,4,97],[0,5,67],[1,2,24],[1,4,77],[1,5,0],[2,3,78],[2,4,22],[2,5,23],[3,4,29],[3,5,27],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (1,5)=0, w=0\",\"Add (2,4)=22, w=22\",\"Add (2,5)=23, w=45\",\"Add (3,5)=27, 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\":[[0,1,79],[0,2,0],[0,3,31],[0,4,97],[0,5,67],[1,2,24],[1,4,77],[1,5,0],[2,3,78],[2,4,22],[2,5,23],[3,4,29],[3,5,27],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (1,5)=0 Succeeded, w=0\",\"Add (2,4)=22 Succeeded, w=22\",\"Add (2,5)=23 Succeeded, w=45\",\"Add (1,2)=24 Failed, w=45\",\"Add (3,5)=27 Succeeded, w=72\",\"Add (3,4)=29 Failed, w=72\",\"Add (0,3)=31 Failed, w=72\",\"Add (0,5)=67 Failed, w=72\",\"Add (4,5)=75 Failed, w=72\",\"Add (1,4)=77 Failed, w=72\",\"Add (2,3)=78 Failed, w=72\",\"Add (0,1)=79 Failed, w=72\",\"Add (0,4)=97 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,0],[0,3,31],[0,4,97],[0,5,67],[1,2,24],[1,4,77],[1,5,0],[2,3,78],[2,4,22],[2,5,23],[3,4,29],[3,5,27],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,5)=0,(2,4)=22,(2,5)=23,(1,2)=24,(3,5)=27,(3,4)=29,(0,3)=31,(0,5)=67,(4,5)=75,(1,4)=77,(2,3)=78,(0,1)=79,(0,4)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(2)=0, Find(4)=4, Add (2,4)=22 Succeeded, w=22\",\"Find(2)=0, Find(5)=1, Add (2,5)=23 Succeeded, w=45\",\"Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=45\",\"Find(3)=3, Find(5)=0, Add (3,5)=27 Succeeded, w=72\",\"Find(3)=0, Find(4)=0, Add (3,4)=29 Failed, w=72\",\"Find(0)=0, Find(3)=0, Add (0,3)=31 Failed, w=72\",\"Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=72\",\"Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=72\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=72\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=72\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=72\",\"Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,0],[0,3,31],[0,4,97],[0,5,67],[1,2,24],[1,4,77],[1,5,0],[2,3,78],[2,4,22],[2,5,23],[3,4,29],[3,5,27],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,5)=0,(2,4)=22,(2,5)=23,(1,2)=24,(3,5)=27,(3,4)=29,(0,3)=31,(0,5)=67,(4,5)=75,(1,4)=77,(2,3)=78,(0,1)=79,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, 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: 1}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(2)=0, Find(4)=4, Add (2,4)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1}, Find(2)=0, Find(5)=1, Add (2,5)=23 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1}, Find(1)=0, Find(2)=0, Add (1,2)=24 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=27 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=29 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=31 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 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)=97 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,98],[0,3,12],[1,3,86],[2,3,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98],[0,3,12],[1,3,86],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98],[0,3,12],[1,3,86],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98],[0,3,12],[1,3,86],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12, w=12\",\"Add (2,3)=85, w=97\",\"Add (1,3)=86, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98],[0,3,12],[1,3,86],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12 Succeeded, w=12\",\"Add (2,3)=85 Succeeded, w=97\",\"Add (1,3)=86 Succeeded, w=183\",\"Add (0,2)=98 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98],[0,3,12],[1,3,86],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(2,3)=85,(1,3)=86,(0,2)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Find(2)=2, Find(3)=0, Add (2,3)=85 Succeeded, w=97\",\"Find(1)=1, Find(3)=0, Add (1,3)=86 Succeeded, w=183\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,98],[0,3,12],[1,3,86],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(2,3)=85,(1,3)=86,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=85 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=86 Succeeded, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,73],[0,2,87],[0,3,86],[0,5,73],[0,6,92],[1,2,51],[1,3,21],[1,4,53],[1,5,38],[1,6,36],[2,4,64],[2,6,13],[2,7,62],[3,4,64],[3,5,100],[3,6,35],[4,5,91],[4,6,56],[4,7,37],[5,6,65],[6,7,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,87],[0,3,86],[0,5,73],[0,6,92],[1,2,51],[1,3,21],[1,4,53],[1,5,38],[1,6,36],[2,4,64],[2,6,13],[2,7,62],[3,4,64],[3,5,100],[3,6,35],[4,5,91],[4,6,56],[4,7,37],[5,6,65],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,87],[0,3,86],[0,5,73],[0,6,92],[1,2,51],[1,3,21],[1,4,53],[1,5,38],[1,6,36],[2,4,64],[2,6,13],[2,7,62],[3,4,64],[3,5,100],[3,6,35],[4,5,91],[4,6,56],[4,7,37],[5,6,65],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (4,7)\",\"Add (1,5)\",\"Add (0,1)\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,87],[0,3,86],[0,5,73],[0,6,92],[1,2,51],[1,3,21],[1,4,53],[1,5,38],[1,6,36],[2,4,64],[2,6,13],[2,7,62],[3,4,64],[3,5,100],[3,6,35],[4,5,91],[4,6,56],[4,7,37],[5,6,65],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=10, w=10\",\"Add (2,6)=13, w=23\",\"Add (1,3)=21, w=44\",\"Add (3,6)=35, w=79\",\"Add (4,7)=37, w=116\",\"Add (1,5)=38, w=154\",\"Add (0,1)=73, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,87],[0,3,86],[0,5,73],[0,6,92],[1,2,51],[1,3,21],[1,4,53],[1,5,38],[1,6,36],[2,4,64],[2,6,13],[2,7,62],[3,4,64],[3,5,100],[3,6,35],[4,5,91],[4,6,56],[4,7,37],[5,6,65],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=10 Succeeded, w=10\",\"Add (2,6)=13 Succeeded, w=23\",\"Add (1,3)=21 Succeeded, w=44\",\"Add (3,6)=35 Succeeded, w=79\",\"Add (1,6)=36 Failed, w=79\",\"Add (4,7)=37 Succeeded, w=116\",\"Add (1,5)=38 Succeeded, w=154\",\"Add (1,2)=51 Failed, w=154\",\"Add (1,4)=53 Failed, w=154\",\"Add (4,6)=56 Failed, w=154\",\"Add (2,7)=62 Failed, w=154\",\"Add (2,4)=64 Failed, w=154\",\"Add (3,4)=64 Failed, w=154\",\"Add (5,6)=65 Failed, w=154\",\"Add (0,1)=73 Succeeded, w=227\",\"Add (0,5)=73 Failed, w=227\",\"Add (0,3)=86 Failed, w=227\",\"Add (0,2)=87 Failed, w=227\",\"Add (4,5)=91 Failed, w=227\",\"Add (0,6)=92 Failed, w=227\",\"Add (3,5)=100 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,87],[0,3,86],[0,5,73],[0,6,92],[1,2,51],[1,3,21],[1,4,53],[1,5,38],[1,6,36],[2,4,64],[2,6,13],[2,7,62],[3,4,64],[3,5,100],[3,6,35],[4,5,91],[4,6,56],[4,7,37],[5,6,65],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=10,(2,6)=13,(1,3)=21,(3,6)=35,(1,6)=36,(4,7)=37,(1,5)=38,(1,2)=51,(1,4)=53,(4,6)=56,(2,7)=62,(2,4)=64,(3,4)=64,(5,6)=65,(0,1)=73,(0,5)=73,(0,3)=86,(0,2)=87,(4,5)=91,(0,6)=92,(3,5)=100]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=10 Succeeded, w=10\",\"Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=44\",\"Find(3)=1, Find(6)=6, Add (3,6)=35 Succeeded, w=79\",\"Find(1)=1, Find(6)=1, Add (1,6)=36 Failed, w=79\",\"Find(4)=4, Find(7)=1, Add (4,7)=37 Succeeded, w=116\",\"Find(1)=1, Find(5)=5, Add (1,5)=38 Succeeded, w=154\",\"Find(1)=1, Find(2)=1, Add (1,2)=51 Failed, w=154\",\"Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=154\",\"Find(4)=1, Find(6)=1, Add (4,6)=56 Failed, w=154\",\"Find(2)=1, Find(7)=1, Add (2,7)=62 Failed, w=154\",\"Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=154\",\"Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=154\",\"Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=154\",\"Find(0)=0, Find(1)=1, Add (0,1)=73 Succeeded, w=227\",\"Find(0)=1, Find(5)=1, Add (0,5)=73 Failed, w=227\",\"Find(0)=1, Find(3)=1, Add (0,3)=86 Failed, w=227\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=227\",\"Find(4)=1, Find(5)=1, Add (4,5)=91 Failed, w=227\",\"Find(0)=1, Find(6)=1, Add (0,6)=92 Failed, w=227\",\"Find(3)=1, Find(5)=1, Add (3,5)=100 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,87],[0,3,86],[0,5,73],[0,6,92],[1,2,51],[1,3,21],[1,4,53],[1,5,38],[1,6,36],[2,4,64],[2,6,13],[2,7,62],[3,4,64],[3,5,100],[3,6,35],[4,5,91],[4,6,56],[4,7,37],[5,6,65],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=10,(2,6)=13,(1,3)=21,(3,6)=35,(1,6)=36,(4,7)=37,(1,5)=38,(1,2)=51,(1,4)=53,(4,6)=56,(2,7)=62,(2,4)=64,(3,4)=64,(5,6)=65,(0,1)=73,(0,5)=73,(0,3)=86,(0,2)=87,(4,5)=91,(0,6)=92,(3,5)=100]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 1, 4: 4, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 1, 4: 4, 5: 5, 6: 1, 7: 6}, Find(3)=1, Find(6)=6, Add (3,6)=35 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 1, 4: 4, 5: 5, 6: 1, 7: 6}, Find(1)=1, Find(6)=1, Add (1,6)=36 Failed, w=79\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=37 Succeeded, w=116\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=38 Succeeded, w=154\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=51 Failed, w=154\",\"Parent: {0: 0, 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=154\",\"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)=56 Failed, w=154\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=62 Failed, w=154\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=154\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=154\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=65 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=73 Succeeded, w=227\",\"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)=73 Failed, w=227\",\"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)=86 Failed, w=227\",\"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)=87 Failed, w=227\",\"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)=91 Failed, w=227\",\"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)=92 Failed, w=227\",\"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)=100 Failed, w=227\"],\"Answer\":227}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,35],[0,2,51],[0,3,62],[0,5,98],[1,2,92],[1,3,31],[1,5,3],[2,3,46],[2,4,91],[2,5,27],[3,4,12],[3,5,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,51],[0,3,62],[0,5,98],[1,2,92],[1,3,31],[1,5,3],[2,3,46],[2,4,91],[2,5,27],[3,4,12],[3,5,87]]}",
"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\":[[0,1,35],[0,2,51],[0,3,62],[0,5,98],[1,2,92],[1,3,31],[1,5,3],[2,3,46],[2,4,91],[2,5,27],[3,4,12],[3,5,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,51],[0,3,62],[0,5,98],[1,2,92],[1,3,31],[1,5,3],[2,3,46],[2,4,91],[2,5,27],[3,4,12],[3,5,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (3,4)=12, w=15\",\"Add (2,5)=27, w=42\",\"Add (1,3)=31, w=73\",\"Add (0,1)=35, 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\":[[0,1,35],[0,2,51],[0,3,62],[0,5,98],[1,2,92],[1,3,31],[1,5,3],[2,3,46],[2,4,91],[2,5,27],[3,4,12],[3,5,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (3,4)=12 Succeeded, w=15\",\"Add (2,5)=27 Succeeded, w=42\",\"Add (1,3)=31 Succeeded, w=73\",\"Add (0,1)=35 Succeeded, w=108\",\"Add (2,3)=46 Failed, w=108\",\"Add (0,2)=51 Failed, w=108\",\"Add (0,3)=62 Failed, w=108\",\"Add (3,5)=87 Failed, w=108\",\"Add (2,4)=91 Failed, w=108\",\"Add (1,2)=92 Failed, w=108\",\"Add (0,5)=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\":[[0,1,35],[0,2,51],[0,3,62],[0,5,98],[1,2,92],[1,3,31],[1,5,3],[2,3,46],[2,4,91],[2,5,27],[3,4,12],[3,5,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(3,4)=12,(2,5)=27,(1,3)=31,(0,1)=35,(2,3)=46,(0,2)=51,(0,3)=62,(3,5)=87,(2,4)=91,(1,2)=92,(0,5)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=15\",\"Find(2)=2, Find(5)=1, Add (2,5)=27 Succeeded, w=42\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=73\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=108\",\"Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=108\",\"Find(0)=1, Find(2)=1, Add (0,2)=51 Failed, w=108\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=108\",\"Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=108\",\"Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=108\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=108\",\"Find(0)=1, Find(5)=1, Add (0,5)=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\":[[0,1,35],[0,2,51],[0,3,62],[0,5,98],[1,2,92],[1,3,31],[1,5,3],[2,3,46],[2,4,91],[2,5,27],[3,4,12],[3,5,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(3,4)=12,(2,5)=27,(1,3)=31,(0,1)=35,(2,3)=46,(0,2)=51,(0,3)=62,(3,5)=87,(2,4)=91,(1,2)=92,(0,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=27 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=51 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,7],[0,2,78],[0,3,19],[0,4,13],[0,5,57],[1,4,91],[1,5,39],[2,3,97],[2,4,39],[2,5,96],[3,5,7],[4,5,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,78],[0,3,19],[0,4,13],[0,5,57],[1,4,91],[1,5,39],[2,3,97],[2,4,39],[2,5,96],[3,5,7],[4,5,27]]}",
"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\":[[0,1,7],[0,2,78],[0,3,19],[0,4,13],[0,5,57],[1,4,91],[1,5,39],[2,3,97],[2,4,39],[2,5,96],[3,5,7],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,78],[0,3,19],[0,4,13],[0,5,57],[1,4,91],[1,5,39],[2,3,97],[2,4,39],[2,5,96],[3,5,7],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (3,5)=7, w=14\",\"Add (0,4)=13, w=27\",\"Add (0,3)=19, w=46\",\"Add (2,4)=39, 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\":[[0,1,7],[0,2,78],[0,3,19],[0,4,13],[0,5,57],[1,4,91],[1,5,39],[2,3,97],[2,4,39],[2,5,96],[3,5,7],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (3,5)=7 Succeeded, w=14\",\"Add (0,4)=13 Succeeded, w=27\",\"Add (0,3)=19 Succeeded, w=46\",\"Add (4,5)=27 Failed, w=46\",\"Add (1,5)=39 Failed, w=46\",\"Add (2,4)=39 Succeeded, w=85\",\"Add (0,5)=57 Failed, w=85\",\"Add (0,2)=78 Failed, w=85\",\"Add (1,4)=91 Failed, w=85\",\"Add (2,5)=96 Failed, w=85\",\"Add (2,3)=97 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\":[[0,1,7],[0,2,78],[0,3,19],[0,4,13],[0,5,57],[1,4,91],[1,5,39],[2,3,97],[2,4,39],[2,5,96],[3,5,7],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(3,5)=7,(0,4)=13,(0,3)=19,(4,5)=27,(1,5)=39,(2,4)=39,(0,5)=57,(0,2)=78,(1,4)=91,(2,5)=96,(2,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=27\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=46\",\"Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=46\",\"Find(1)=0, Find(5)=0, Add (1,5)=39 Failed, w=46\",\"Find(2)=2, Find(4)=0, Add (2,4)=39 Succeeded, w=85\",\"Find(0)=0, Find(5)=0, Add (0,5)=57 Failed, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=85\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=85\",\"Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=85\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 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\":[[0,1,7],[0,2,78],[0,3,19],[0,4,13],[0,5,57],[1,4,91],[1,5,39],[2,3,97],[2,4,39],[2,5,96],[3,5,7],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(3,5)=7,(0,4)=13,(0,3)=19,(4,5)=27,(1,5)=39,(2,4)=39,(0,5)=57,(0,2)=78,(1,4)=91,(2,5)=96,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=27 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=39 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=39 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=57 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=85\",\"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=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,23],[0,2,25],[1,2,44],[1,3,2],[2,3,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,25],[1,2,44],[1,3,2],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,25],[1,2,44],[1,3,2],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,25],[1,2,44],[1,3,2],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,1)=23, w=25\",\"Add (0,2)=25, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,25],[1,2,44],[1,3,2],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,1)=23 Succeeded, w=25\",\"Add (0,2)=25 Succeeded, w=50\",\"Add (1,2)=44 Failed, w=50\",\"Add (2,3)=88 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,25],[1,2,44],[1,3,2],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,1)=23,(0,2)=25,(1,2)=44,(2,3)=88]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=25\",\"Find(0)=1, Find(2)=2, Add (0,2)=25 Succeeded, w=50\",\"Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=50\",\"Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,25],[1,2,44],[1,3,2],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,1)=23,(0,2)=25,(1,2)=44,(2,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=25 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
|
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