graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,32],[0,3,87],[1,2,69],[1,3,56],[2,3,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,87],[1,2,69],[1,3,56],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,87],[1,2,69],[1,3,56],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,87],[1,2,69],[1,3,56],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=32, w=32\",\"Add (1,3)=56, w=88\",\"Add (1,2)=69, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,87],[1,2,69],[1,3,56],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=32 Succeeded, w=32\",\"Add (1,3)=56 Succeeded, w=88\",\"Add (1,2)=69 Succeeded, w=157\",\"Add (2,3)=84 Failed, w=157\",\"Add (0,3)=87 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,87],[1,2,69],[1,3,56],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=32,(1,3)=56,(1,2)=69,(2,3)=84,(0,3)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=32\",\"Find(1)=1, Find(3)=3, Add (1,3)=56 Succeeded, w=88\",\"Find(1)=1, Find(2)=0, Add (1,2)=69 Succeeded, w=157\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=157\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,32],[0,3,87],[1,2,69],[1,3,56],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=32,(1,3)=56,(1,2)=69,(2,3)=84,(0,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=56 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=69 Succeeded, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,90],[0,3,46],[1,2,94],[2,3,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,90],[0,3,46],[1,2,94],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,90],[0,3,46],[1,2,94],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,90],[0,3,46],[1,2,94],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=36, w=36\",\"Add (0,3)=46, w=82\",\"Add (1,2)=94, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,90],[0,3,46],[1,2,94],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=36 Succeeded, w=36\",\"Add (0,3)=46 Succeeded, w=82\",\"Add (0,2)=90 Failed, w=82\",\"Add (1,2)=94 Succeeded, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,90],[0,3,46],[1,2,94],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=36,(0,3)=46,(0,2)=90,(1,2)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=36\",\"Find(0)=0, Find(3)=2, Add (0,3)=46 Succeeded, w=82\",\"Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=82\",\"Find(1)=1, Find(2)=2, Add (1,2)=94 Succeeded, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,90],[0,3,46],[1,2,94],[2,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=36,(0,3)=46,(0,2)=90,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=36 Succeeded, w=36\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=46 Succeeded, w=82\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=94 Succeeded, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,2,7],[0,3,49],[0,4,40],[1,3,59],[1,4,87],[2,3,37],[2,4,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,3,49],[0,4,40],[1,3,59],[1,4,87],[2,3,37],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,3,49],[0,4,40],[1,3,59],[1,4,87],[2,3,37],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,3,49],[0,4,40],[1,3,59],[1,4,87],[2,3,37],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (2,4)=14, w=21\",\"Add (2,3)=37, w=58\",\"Add (0,1)=57, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,3,49],[0,4,40],[1,3,59],[1,4,87],[2,3,37],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (2,4)=14 Succeeded, w=21\",\"Add (2,3)=37 Succeeded, w=58\",\"Add (0,4)=40 Failed, w=58\",\"Add (0,3)=49 Failed, w=58\",\"Add (0,1)=57 Succeeded, w=115\",\"Add (1,3)=59 Failed, w=115\",\"Add (1,4)=87 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,3,49],[0,4,40],[1,3,59],[1,4,87],[2,3,37],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,4)=14,(2,3)=37,(0,4)=40,(0,3)=49,(0,1)=57,(1,3)=59,(1,4)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(2)=0, Find(4)=4, Add (2,4)=14 Succeeded, w=21\",\"Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=58\",\"Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=58\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=58\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=115\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,7],[0,3,49],[0,4,40],[1,3,59],[1,4,87],[2,3,37],[2,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,4)=14,(2,3)=37,(0,4)=40,(0,3)=49,(0,1)=57,(1,3)=59,(1,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,64],[0,2,35],[0,3,39],[1,2,74],[1,4,81],[2,3,50],[2,4,58],[3,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,35],[0,3,39],[1,2,74],[1,4,81],[2,3,50],[2,4,58],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,35],[0,3,39],[1,2,74],[1,4,81],[2,3,50],[2,4,58],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,35],[0,3,39],[1,2,74],[1,4,81],[2,3,50],[2,4,58],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=35, w=35\",\"Add (0,3)=39, w=74\",\"Add (2,4)=58, w=132\",\"Add (0,1)=64, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,35],[0,3,39],[1,2,74],[1,4,81],[2,3,50],[2,4,58],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=35 Succeeded, w=35\",\"Add (0,3)=39 Succeeded, w=74\",\"Add (2,3)=50 Failed, w=74\",\"Add (2,4)=58 Succeeded, w=132\",\"Add (0,1)=64 Succeeded, w=196\",\"Add (1,2)=74 Failed, w=196\",\"Add (1,4)=81 Failed, w=196\",\"Add (3,4)=97 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,35],[0,3,39],[1,2,74],[1,4,81],[2,3,50],[2,4,58],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=35,(0,3)=39,(2,3)=50,(2,4)=58,(0,1)=64,(1,2)=74,(1,4)=81,(3,4)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=74\",\"Find(2)=0, Find(4)=4, Add (2,4)=58 Succeeded, w=132\",\"Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=196\",\"Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=196\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=196\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,64],[0,2,35],[0,3,39],[1,2,74],[1,4,81],[2,3,50],[2,4,58],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=35,(0,3)=39,(2,3)=50,(2,4)=58,(0,1)=64,(1,2)=74,(1,4)=81,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=74\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=58 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=196\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,12],[0,2,52],[0,4,37],[0,5,97],[1,2,79],[1,3,35],[1,4,36],[1,5,9],[2,3,67],[2,5,36],[3,4,96],[3,5,56],[4,5,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,52],[0,4,37],[0,5,97],[1,2,79],[1,3,35],[1,4,36],[1,5,9],[2,3,67],[2,5,36],[3,4,96],[3,5,56],[4,5,16]]}",
"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\":[[0,1,12],[0,2,52],[0,4,37],[0,5,97],[1,2,79],[1,3,35],[1,4,36],[1,5,9],[2,3,67],[2,5,36],[3,4,96],[3,5,56],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (2,5)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,52],[0,4,37],[0,5,97],[1,2,79],[1,3,35],[1,4,36],[1,5,9],[2,3,67],[2,5,36],[3,4,96],[3,5,56],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9, w=9\",\"Add (0,1)=12, w=21\",\"Add (4,5)=16, w=37\",\"Add (1,3)=35, w=72\",\"Add (2,5)=36, 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\":[[0,1,12],[0,2,52],[0,4,37],[0,5,97],[1,2,79],[1,3,35],[1,4,36],[1,5,9],[2,3,67],[2,5,36],[3,4,96],[3,5,56],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9 Succeeded, w=9\",\"Add (0,1)=12 Succeeded, w=21\",\"Add (4,5)=16 Succeeded, w=37\",\"Add (1,3)=35 Succeeded, w=72\",\"Add (1,4)=36 Failed, w=72\",\"Add (2,5)=36 Succeeded, w=108\",\"Add (0,4)=37 Failed, w=108\",\"Add (0,2)=52 Failed, w=108\",\"Add (3,5)=56 Failed, w=108\",\"Add (2,3)=67 Failed, w=108\",\"Add (1,2)=79 Failed, w=108\",\"Add (3,4)=96 Failed, w=108\",\"Add (0,5)=97 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\":[[0,1,12],[0,2,52],[0,4,37],[0,5,97],[1,2,79],[1,3,35],[1,4,36],[1,5,9],[2,3,67],[2,5,36],[3,4,96],[3,5,56],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(0,1)=12,(4,5)=16,(1,3)=35,(1,4)=36,(2,5)=36,(0,4)=37,(0,2)=52,(3,5)=56,(2,3)=67,(1,2)=79,(3,4)=96,(0,5)=97]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=21\",\"Find(4)=4, Find(5)=1, Add (4,5)=16 Succeeded, w=37\",\"Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=72\",\"Find(1)=1, Find(4)=1, Add (1,4)=36 Failed, w=72\",\"Find(2)=2, Find(5)=1, Add (2,5)=36 Succeeded, w=108\",\"Find(0)=1, Find(4)=1, Add (0,4)=37 Failed, w=108\",\"Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=108\",\"Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=108\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=108\",\"Find(1)=1, Find(2)=1, Add (1,2)=79 Failed, w=108\",\"Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=108\",\"Find(0)=1, Find(5)=1, Add (0,5)=97 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\":[[0,1,12],[0,2,52],[0,4,37],[0,5,97],[1,2,79],[1,3,35],[1,4,36],[1,5,9],[2,3,67],[2,5,36],[3,4,96],[3,5,56],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(0,1)=12,(4,5)=16,(1,3)=35,(1,4)=36,(2,5)=36,(0,4)=37,(0,2)=52,(3,5)=56,(2,3)=67,(1,2)=79,(3,4)=96,(0,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=16 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=36 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=36 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=37 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=52 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=67 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)=79 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=96 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)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[0,2,48],[0,3,23],[1,2,5],[1,3,71],[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,48],[0,3,23],[1,2,5],[1,3,71],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,48],[0,3,23],[1,2,5],[1,3,71],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,48],[0,3,23],[1,2,5],[1,3,71],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (2,3)=10, w=15\",\"Add (0,3)=23, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,48],[0,3,23],[1,2,5],[1,3,71],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (2,3)=10 Succeeded, w=15\",\"Add (0,3)=23 Succeeded, w=38\",\"Add (0,2)=48 Failed, w=38\",\"Add (0,1)=49 Failed, w=38\",\"Add (1,3)=71 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,48],[0,3,23],[1,2,5],[1,3,71],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,3)=10,(0,3)=23,(0,2)=48,(0,1)=49,(1,3)=71]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(2)=1, Find(3)=3, Add (2,3)=10 Succeeded, w=15\",\"Find(0)=0, Find(3)=1, Add (0,3)=23 Succeeded, w=38\",\"Find(0)=1, Find(2)=1, Add (0,2)=48 Failed, w=38\",\"Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=38\",\"Find(1)=1, Find(3)=1, Add (1,3)=71 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,48],[0,3,23],[1,2,5],[1,3,71],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,3)=10,(0,3)=23,(0,2)=48,(0,1)=49,(1,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=10 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=23 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=48 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=71 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,28],[0,2,97],[0,3,33],[0,4,13],[0,5,15],[0,6,38],[0,7,63],[1,2,4],[1,3,95],[1,4,73],[1,5,43],[1,6,58],[1,7,79],[2,3,24],[2,4,86],[2,5,55],[2,6,46],[2,7,21],[3,4,53],[3,6,96],[3,7,95],[4,5,10],[4,6,32],[5,6,14],[5,7,12],[6,7,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,97],[0,3,33],[0,4,13],[0,5,15],[0,6,38],[0,7,63],[1,2,4],[1,3,95],[1,4,73],[1,5,43],[1,6,58],[1,7,79],[2,3,24],[2,4,86],[2,5,55],[2,6,46],[2,7,21],[3,4,53],[3,6,96],[3,7,95],[4,5,10],[4,6,32],[5,6,14],[5,7,12],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,97],[0,3,33],[0,4,13],[0,5,15],[0,6,38],[0,7,63],[1,2,4],[1,3,95],[1,4,73],[1,5,43],[1,6,58],[1,7,79],[2,3,24],[2,4,86],[2,5,55],[2,6,46],[2,7,21],[3,4,53],[3,6,96],[3,7,95],[4,5,10],[4,6,32],[5,6,14],[5,7,12],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (5,7)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (2,7)\",\"Add (2,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,97],[0,3,33],[0,4,13],[0,5,15],[0,6,38],[0,7,63],[1,2,4],[1,3,95],[1,4,73],[1,5,43],[1,6,58],[1,7,79],[2,3,24],[2,4,86],[2,5,55],[2,6,46],[2,7,21],[3,4,53],[3,6,96],[3,7,95],[4,5,10],[4,6,32],[5,6,14],[5,7,12],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (4,5)=10, w=14\",\"Add (5,7)=12, w=26\",\"Add (0,4)=13, w=39\",\"Add (5,6)=14, w=53\",\"Add (2,7)=21, w=74\",\"Add (2,3)=24, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,97],[0,3,33],[0,4,13],[0,5,15],[0,6,38],[0,7,63],[1,2,4],[1,3,95],[1,4,73],[1,5,43],[1,6,58],[1,7,79],[2,3,24],[2,4,86],[2,5,55],[2,6,46],[2,7,21],[3,4,53],[3,6,96],[3,7,95],[4,5,10],[4,6,32],[5,6,14],[5,7,12],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (4,5)=10 Succeeded, w=14\",\"Add (5,7)=12 Succeeded, w=26\",\"Add (0,4)=13 Succeeded, w=39\",\"Add (5,6)=14 Succeeded, w=53\",\"Add (0,5)=15 Failed, w=53\",\"Add (2,7)=21 Succeeded, w=74\",\"Add (2,3)=24 Succeeded, w=98\",\"Add (0,1)=28 Failed, w=98\",\"Add (4,6)=32 Failed, w=98\",\"Add (0,3)=33 Failed, w=98\",\"Add (0,6)=38 Failed, w=98\",\"Add (1,5)=43 Failed, w=98\",\"Add (2,6)=46 Failed, w=98\",\"Add (3,4)=53 Failed, w=98\",\"Add (2,5)=55 Failed, w=98\",\"Add (1,6)=58 Failed, w=98\",\"Add (6,7)=58 Failed, w=98\",\"Add (0,7)=63 Failed, w=98\",\"Add (1,4)=73 Failed, w=98\",\"Add (1,7)=79 Failed, w=98\",\"Add (2,4)=86 Failed, w=98\",\"Add (1,3)=95 Failed, w=98\",\"Add (3,7)=95 Failed, w=98\",\"Add (3,6)=96 Failed, w=98\",\"Add (0,2)=97 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,97],[0,3,33],[0,4,13],[0,5,15],[0,6,38],[0,7,63],[1,2,4],[1,3,95],[1,4,73],[1,5,43],[1,6,58],[1,7,79],[2,3,24],[2,4,86],[2,5,55],[2,6,46],[2,7,21],[3,4,53],[3,6,96],[3,7,95],[4,5,10],[4,6,32],[5,6,14],[5,7,12],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(4,5)=10,(5,7)=12,(0,4)=13,(5,6)=14,(0,5)=15,(2,7)=21,(2,3)=24,(0,1)=28,(4,6)=32,(0,3)=33,(0,6)=38,(1,5)=43,(2,6)=46,(3,4)=53,(2,5)=55,(1,6)=58,(6,7)=58,(0,7)=63,(1,4)=73,(1,7)=79,(2,4)=86,(1,3)=95,(3,7)=95,(3,6)=96,(0,2)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=14\",\"Find(5)=4, Find(7)=7, Add (5,7)=12 Succeeded, w=26\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=39\",\"Find(5)=4, Find(6)=6, Add (5,6)=14 Succeeded, w=53\",\"Find(0)=4, Find(5)=4, Add (0,5)=15 Failed, w=53\",\"Find(2)=1, Find(7)=4, Add (2,7)=21 Succeeded, w=74\",\"Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=98\",\"Find(0)=1, Find(1)=1, Add (0,1)=28 Failed, w=98\",\"Find(4)=1, Find(6)=1, Add (4,6)=32 Failed, w=98\",\"Find(0)=1, Find(3)=1, Add (0,3)=33 Failed, w=98\",\"Find(0)=1, Find(6)=1, Add (0,6)=38 Failed, w=98\",\"Find(1)=1, Find(5)=1, Add (1,5)=43 Failed, w=98\",\"Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=98\",\"Find(3)=1, Find(4)=1, Add (3,4)=53 Failed, w=98\",\"Find(2)=1, Find(5)=1, Add (2,5)=55 Failed, w=98\",\"Find(1)=1, Find(6)=1, Add (1,6)=58 Failed, w=98\",\"Find(6)=1, Find(7)=1, Add (6,7)=58 Failed, w=98\",\"Find(0)=1, Find(7)=1, Add (0,7)=63 Failed, w=98\",\"Find(1)=1, Find(4)=1, Add (1,4)=73 Failed, w=98\",\"Find(1)=1, Find(7)=1, Add (1,7)=79 Failed, w=98\",\"Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=98\",\"Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=98\",\"Find(3)=1, Find(7)=1, Add (3,7)=95 Failed, w=98\",\"Find(3)=1, Find(6)=1, Add (3,6)=96 Failed, w=98\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,97],[0,3,33],[0,4,13],[0,5,15],[0,6,38],[0,7,63],[1,2,4],[1,3,95],[1,4,73],[1,5,43],[1,6,58],[1,7,79],[2,3,24],[2,4,86],[2,5,55],[2,6,46],[2,7,21],[3,4,53],[3,6,96],[3,7,95],[4,5,10],[4,6,32],[5,6,14],[5,7,12],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(4,5)=10,(5,7)=12,(0,4)=13,(5,6)=14,(0,5)=15,(2,7)=21,(2,3)=24,(0,1)=28,(4,6)=32,(0,3)=33,(0,6)=38,(1,5)=43,(2,6)=46,(3,4)=53,(2,5)=55,(1,6)=58,(6,7)=58,(0,7)=63,(1,4)=73,(1,7)=79,(2,4)=86,(1,3)=95,(3,7)=95,(3,6)=96,(0,2)=97]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(5)=4, Find(7)=7, Add (5,7)=12 Succeeded, w=26\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=39\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=6, Add (5,6)=14 Succeeded, w=53\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=15 Failed, w=53\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4, 6: 4, 7: 4}, Find(2)=1, Find(7)=4, Add (2,7)=21 Succeeded, w=74\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 4, 7: 4}, Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 4, 7: 4}, Find(0)=1, Find(1)=1, Add (0,1)=28 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 4}, Find(4)=1, Find(6)=1, Add (4,6)=32 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 4}, Find(0)=1, Find(3)=1, Add (0,3)=33 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 4}, Find(0)=1, Find(6)=1, Add (0,6)=38 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(5)=1, Add (1,5)=43 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(2)=1, Find(6)=1, Add (2,6)=46 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(3)=1, Find(4)=1, Add (3,4)=53 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(2)=1, Find(5)=1, Add (2,5)=55 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(6)=1, Add (1,6)=58 Failed, w=98\",\"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)=58 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=63 Failed, w=98\",\"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)=73 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=79 Failed, w=98\",\"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)=86 Failed, w=98\",\"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)=95 Failed, w=98\",\"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)=95 Failed, w=98\",\"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)=96 Failed, w=98\",\"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)=97 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,3,8],[0,4,75],[1,2,71],[1,4,58],[2,3,70],[2,4,60],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,8],[0,4,75],[1,2,71],[1,4,58],[2,3,70],[2,4,60],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,8],[0,4,75],[1,2,71],[1,4,58],[2,3,70],[2,4,60],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,8],[0,4,75],[1,2,71],[1,4,58],[2,3,70],[2,4,60],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,3)=8, w=10\",\"Add (1,4)=58, w=68\",\"Add (2,4)=60, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,8],[0,4,75],[1,2,71],[1,4,58],[2,3,70],[2,4,60],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,3)=8 Succeeded, w=10\",\"Add (1,4)=58 Succeeded, w=68\",\"Add (2,4)=60 Succeeded, w=128\",\"Add (2,3)=70 Failed, w=128\",\"Add (1,2)=71 Failed, w=128\",\"Add (0,4)=75 Failed, w=128\",\"Add (3,4)=94 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,8],[0,4,75],[1,2,71],[1,4,58],[2,3,70],[2,4,60],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=8,(1,4)=58,(2,4)=60,(2,3)=70,(1,2)=71,(0,4)=75,(3,4)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=10\",\"Find(1)=0, Find(4)=4, Add (1,4)=58 Succeeded, w=68\",\"Find(2)=2, Find(4)=0, Add (2,4)=60 Succeeded, w=128\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=128\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=128\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=128\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,8],[0,4,75],[1,2,71],[1,4,58],[2,3,70],[2,4,60],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=8,(1,4)=58,(2,4)=60,(2,3)=70,(1,2)=71,(0,4)=75,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=58 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=60 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,19],[0,2,51],[0,5,63],[0,6,85],[0,7,14],[1,2,15],[1,4,69],[1,5,34],[1,6,21],[1,7,17],[2,4,42],[2,5,42],[2,7,88],[3,4,77],[3,5,14],[3,6,53],[3,7,25],[4,6,62],[4,7,14],[5,6,59],[5,7,7],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,51],[0,5,63],[0,6,85],[0,7,14],[1,2,15],[1,4,69],[1,5,34],[1,6,21],[1,7,17],[2,4,42],[2,5,42],[2,7,88],[3,4,77],[3,5,14],[3,6,53],[3,7,25],[4,6,62],[4,7,14],[5,6,59],[5,7,7],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,51],[0,5,63],[0,6,85],[0,7,14],[1,2,15],[1,4,69],[1,5,34],[1,6,21],[1,7,17],[2,4,42],[2,5,42],[2,7,88],[3,4,77],[3,5,14],[3,6,53],[3,7,25],[4,6,62],[4,7,14],[5,6,59],[5,7,7],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (0,7)\",\"Add (3,5)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (1,7)\",\"Add (1,6)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,51],[0,5,63],[0,6,85],[0,7,14],[1,2,15],[1,4,69],[1,5,34],[1,6,21],[1,7,17],[2,4,42],[2,5,42],[2,7,88],[3,4,77],[3,5,14],[3,6,53],[3,7,25],[4,6,62],[4,7,14],[5,6,59],[5,7,7],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=7, w=7\",\"Add (0,7)=14, w=21\",\"Add (3,5)=14, w=35\",\"Add (4,7)=14, w=49\",\"Add (1,2)=15, w=64\",\"Add (1,7)=17, w=81\",\"Add (1,6)=21, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,51],[0,5,63],[0,6,85],[0,7,14],[1,2,15],[1,4,69],[1,5,34],[1,6,21],[1,7,17],[2,4,42],[2,5,42],[2,7,88],[3,4,77],[3,5,14],[3,6,53],[3,7,25],[4,6,62],[4,7,14],[5,6,59],[5,7,7],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=7 Succeeded, w=7\",\"Add (0,7)=14 Succeeded, w=21\",\"Add (3,5)=14 Succeeded, w=35\",\"Add (4,7)=14 Succeeded, w=49\",\"Add (1,2)=15 Succeeded, w=64\",\"Add (1,7)=17 Succeeded, w=81\",\"Add (0,1)=19 Failed, w=81\",\"Add (1,6)=21 Succeeded, w=102\",\"Add (3,7)=25 Failed, w=102\",\"Add (1,5)=34 Failed, w=102\",\"Add (2,4)=42 Failed, w=102\",\"Add (2,5)=42 Failed, w=102\",\"Add (0,2)=51 Failed, w=102\",\"Add (3,6)=53 Failed, w=102\",\"Add (5,6)=59 Failed, w=102\",\"Add (4,6)=62 Failed, w=102\",\"Add (0,5)=63 Failed, w=102\",\"Add (1,4)=69 Failed, w=102\",\"Add (3,4)=77 Failed, w=102\",\"Add (0,6)=85 Failed, w=102\",\"Add (6,7)=87 Failed, w=102\",\"Add (2,7)=88 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,51],[0,5,63],[0,6,85],[0,7,14],[1,2,15],[1,4,69],[1,5,34],[1,6,21],[1,7,17],[2,4,42],[2,5,42],[2,7,88],[3,4,77],[3,5,14],[3,6,53],[3,7,25],[4,6,62],[4,7,14],[5,6,59],[5,7,7],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=7,(0,7)=14,(3,5)=14,(4,7)=14,(1,2)=15,(1,7)=17,(0,1)=19,(1,6)=21,(3,7)=25,(1,5)=34,(2,4)=42,(2,5)=42,(0,2)=51,(3,6)=53,(5,6)=59,(4,6)=62,(0,5)=63,(1,4)=69,(3,4)=77,(0,6)=85,(6,7)=87,(2,7)=88]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=7 Succeeded, w=7\",\"Find(0)=0, Find(7)=5, Add (0,7)=14 Succeeded, w=21\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=35\",\"Find(4)=4, Find(7)=5, Add (4,7)=14 Succeeded, w=49\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=64\",\"Find(1)=1, Find(7)=5, Add (1,7)=17 Succeeded, w=81\",\"Find(0)=1, Find(1)=1, Add (0,1)=19 Failed, w=81\",\"Find(1)=1, Find(6)=6, Add (1,6)=21 Succeeded, w=102\",\"Find(3)=1, Find(7)=1, Add (3,7)=25 Failed, w=102\",\"Find(1)=1, Find(5)=1, Add (1,5)=34 Failed, w=102\",\"Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=102\",\"Find(2)=1, Find(5)=1, Add (2,5)=42 Failed, w=102\",\"Find(0)=1, Find(2)=1, Add (0,2)=51 Failed, w=102\",\"Find(3)=1, Find(6)=1, Add (3,6)=53 Failed, w=102\",\"Find(5)=1, Find(6)=1, Add (5,6)=59 Failed, w=102\",\"Find(4)=1, Find(6)=1, Add (4,6)=62 Failed, w=102\",\"Find(0)=1, Find(5)=1, Add (0,5)=63 Failed, w=102\",\"Find(1)=1, Find(4)=1, Add (1,4)=69 Failed, w=102\",\"Find(3)=1, Find(4)=1, Add (3,4)=77 Failed, w=102\",\"Find(0)=1, Find(6)=1, Add (0,6)=85 Failed, w=102\",\"Find(6)=1, Find(7)=1, Add (6,7)=87 Failed, w=102\",\"Find(2)=1, Find(7)=1, Add (2,7)=88 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,51],[0,5,63],[0,6,85],[0,7,14],[1,2,15],[1,4,69],[1,5,34],[1,6,21],[1,7,17],[2,4,42],[2,5,42],[2,7,88],[3,4,77],[3,5,14],[3,6,53],[3,7,25],[4,6,62],[4,7,14],[5,6,59],[5,7,7],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=7,(0,7)=14,(3,5)=14,(4,7)=14,(1,2)=15,(1,7)=17,(0,1)=19,(1,6)=21,(3,7)=25,(1,5)=34,(2,4)=42,(2,5)=42,(0,2)=51,(3,6)=53,(5,6)=59,(4,6)=62,(0,5)=63,(1,4)=69,(3,4)=77,(0,6)=85,(6,7)=87,(2,7)=88]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=14 Succeeded, w=21\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 6, 7: 5}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=35\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 5, 4: 5, 5: 5, 6: 6, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=14 Succeeded, w=49\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 5, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=64\",\"Parent: {0: 5, 1: 1, 2: 1, 3: 5, 4: 5, 5: 1, 6: 6, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=17 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 5, 5: 1, 6: 6, 7: 5}, Find(0)=1, Find(1)=1, Add (0,1)=19 Failed, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 5, 4: 5, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(6)=6, Add (1,6)=21 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 5, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=25 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 5, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=34 Failed, w=102\",\"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)=42 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=42 Failed, w=102\",\"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)=51 Failed, w=102\",\"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)=53 Failed, w=102\",\"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)=59 Failed, w=102\",\"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)=62 Failed, w=102\",\"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)=63 Failed, w=102\",\"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)=69 Failed, w=102\",\"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)=77 Failed, w=102\",\"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)=85 Failed, w=102\",\"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)=87 Failed, w=102\",\"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)=88 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,25],[0,3,66],[0,4,27],[0,5,15],[1,2,89],[1,4,39],[2,3,13],[2,5,28],[3,5,24],[4,5,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,66],[0,4,27],[0,5,15],[1,2,89],[1,4,39],[2,3,13],[2,5,28],[3,5,24],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,66],[0,4,27],[0,5,15],[1,2,89],[1,4,39],[2,3,13],[2,5,28],[3,5,24],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,66],[0,4,27],[0,5,15],[1,2,89],[1,4,39],[2,3,13],[2,5,28],[3,5,24],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (0,5)=15, w=28\",\"Add (3,5)=24, w=52\",\"Add (0,1)=25, w=77\",\"Add (0,4)=27, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,66],[0,4,27],[0,5,15],[1,2,89],[1,4,39],[2,3,13],[2,5,28],[3,5,24],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (0,5)=15 Succeeded, w=28\",\"Add (3,5)=24 Succeeded, w=52\",\"Add (0,1)=25 Succeeded, w=77\",\"Add (0,4)=27 Succeeded, w=104\",\"Add (2,5)=28 Failed, w=104\",\"Add (1,4)=39 Failed, w=104\",\"Add (4,5)=39 Failed, w=104\",\"Add (0,3)=66 Failed, w=104\",\"Add (1,2)=89 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,66],[0,4,27],[0,5,15],[1,2,89],[1,4,39],[2,3,13],[2,5,28],[3,5,24],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(0,5)=15,(3,5)=24,(0,1)=25,(0,4)=27,(2,5)=28,(1,4)=39,(4,5)=39,(0,3)=66,(1,2)=89]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=28\",\"Find(3)=2, Find(5)=0, Add (3,5)=24 Succeeded, w=52\",\"Find(0)=2, Find(1)=1, Add (0,1)=25 Succeeded, w=77\",\"Find(0)=2, Find(4)=4, Add (0,4)=27 Succeeded, w=104\",\"Find(2)=2, Find(5)=2, Add (2,5)=28 Failed, w=104\",\"Find(1)=2, Find(4)=2, Add (1,4)=39 Failed, w=104\",\"Find(4)=2, Find(5)=2, Add (4,5)=39 Failed, w=104\",\"Find(0)=2, Find(3)=2, Add (0,3)=66 Failed, w=104\",\"Find(1)=2, Find(2)=2, Add (1,2)=89 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,3,66],[0,4,27],[0,5,15],[1,2,89],[1,4,39],[2,3,13],[2,5,28],[3,5,24],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(0,5)=15,(3,5)=24,(0,1)=25,(0,4)=27,(2,5)=28,(1,4)=39,(4,5)=39,(0,3)=66,(1,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=28\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(3)=2, Find(5)=0, Add (3,5)=24 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=2, Find(1)=1, Add (0,1)=25 Succeeded, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(4)=4, Add (0,4)=27 Succeeded, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=28 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=39 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=39 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=66 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=89 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,12],[0,2,16],[1,4,55],[2,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,16],[1,4,55],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,16],[1,4,55],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,16],[1,4,55],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (0,2)=16, w=28\",\"Add (1,4)=55, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,16],[1,4,55],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (0,2)=16 Succeeded, w=28\",\"Add (1,4)=55 Succeeded, w=83\",\"Add (2,4)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,16],[1,4,55],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(0,2)=16,(1,4)=55,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=28\",\"Find(1)=0, Find(4)=4, Add (1,4)=55 Succeeded, w=83\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,16],[1,4,55],[2,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(0,2)=16,(1,4)=55,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=55 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,11],[0,2,90],[0,3,53],[0,4,45],[0,5,39],[0,6,12],[1,2,88],[1,4,87],[2,4,45],[2,5,8],[2,6,62],[3,4,40],[3,5,99],[3,6,75],[4,6,94],[5,6,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,90],[0,3,53],[0,4,45],[0,5,39],[0,6,12],[1,2,88],[1,4,87],[2,4,45],[2,5,8],[2,6,62],[3,4,40],[3,5,99],[3,6,75],[4,6,94],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,90],[0,3,53],[0,4,45],[0,5,39],[0,6,12],[1,2,88],[1,4,87],[2,4,45],[2,5,8],[2,6,62],[3,4,40],[3,5,99],[3,6,75],[4,6,94],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,90],[0,3,53],[0,4,45],[0,5,39],[0,6,12],[1,2,88],[1,4,87],[2,4,45],[2,5,8],[2,6,62],[3,4,40],[3,5,99],[3,6,75],[4,6,94],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8, w=8\",\"Add (5,6)=10, w=18\",\"Add (0,1)=11, w=29\",\"Add (0,6)=12, w=41\",\"Add (3,4)=40, w=81\",\"Add (0,4)=45, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,90],[0,3,53],[0,4,45],[0,5,39],[0,6,12],[1,2,88],[1,4,87],[2,4,45],[2,5,8],[2,6,62],[3,4,40],[3,5,99],[3,6,75],[4,6,94],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8 Succeeded, w=8\",\"Add (5,6)=10 Succeeded, w=18\",\"Add (0,1)=11 Succeeded, w=29\",\"Add (0,6)=12 Succeeded, w=41\",\"Add (0,5)=39 Failed, w=41\",\"Add (3,4)=40 Succeeded, w=81\",\"Add (0,4)=45 Succeeded, w=126\",\"Add (2,4)=45 Failed, w=126\",\"Add (0,3)=53 Failed, w=126\",\"Add (2,6)=62 Failed, w=126\",\"Add (3,6)=75 Failed, w=126\",\"Add (1,4)=87 Failed, w=126\",\"Add (1,2)=88 Failed, w=126\",\"Add (0,2)=90 Failed, w=126\",\"Add (4,6)=94 Failed, w=126\",\"Add (3,5)=99 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,90],[0,3,53],[0,4,45],[0,5,39],[0,6,12],[1,2,88],[1,4,87],[2,4,45],[2,5,8],[2,6,62],[3,4,40],[3,5,99],[3,6,75],[4,6,94],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(5,6)=10,(0,1)=11,(0,6)=12,(0,5)=39,(3,4)=40,(0,4)=45,(2,4)=45,(0,3)=53,(2,6)=62,(3,6)=75,(1,4)=87,(1,2)=88,(0,2)=90,(4,6)=94,(3,5)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(5)=2, Find(6)=6, Add (5,6)=10 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=29\",\"Find(0)=0, Find(6)=2, Add (0,6)=12 Succeeded, w=41\",\"Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=41\",\"Find(3)=3, Find(4)=4, Add (3,4)=40 Succeeded, w=81\",\"Find(0)=0, Find(4)=3, Add (0,4)=45 Succeeded, w=126\",\"Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=126\",\"Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=126\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=126\",\"Find(3)=0, Find(6)=0, Add (3,6)=75 Failed, w=126\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=126\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=126\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=126\",\"Find(4)=0, Find(6)=0, Add (4,6)=94 Failed, w=126\",\"Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,11],[0,2,90],[0,3,53],[0,4,45],[0,5,39],[0,6,12],[1,2,88],[1,4,87],[2,4,45],[2,5,8],[2,6,62],[3,4,40],[3,5,99],[3,6,75],[4,6,94],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(5,6)=10,(0,1)=11,(0,6)=12,(0,5)=39,(3,4)=40,(0,4)=45,(2,4)=45,(0,3)=53,(2,6)=62,(3,6)=75,(1,4)=87,(1,2)=88,(0,2)=90,(4,6)=94,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=12 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 2}, Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 2}, Find(3)=3, Find(4)=4, Add (3,4)=40 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 2}, Find(0)=0, Find(4)=3, Add (0,4)=45 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=75 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=94 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,99],[0,3,39],[0,5,78],[1,2,98],[1,3,13],[1,4,100],[1,5,52],[2,3,89],[2,7,81],[3,4,12],[3,5,36],[3,6,86],[3,7,46],[4,5,75],[4,6,84],[4,7,29],[5,6,19],[6,7,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,99],[0,3,39],[0,5,78],[1,2,98],[1,3,13],[1,4,100],[1,5,52],[2,3,89],[2,7,81],[3,4,12],[3,5,36],[3,6,86],[3,7,46],[4,5,75],[4,6,84],[4,7,29],[5,6,19],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,99],[0,3,39],[0,5,78],[1,2,98],[1,3,13],[1,4,100],[1,5,52],[2,3,89],[2,7,81],[3,4,12],[3,5,36],[3,6,86],[3,7,46],[4,5,75],[4,6,84],[4,7,29],[5,6,19],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (5,6)\",\"Add (6,7)\",\"Add (4,7)\",\"Add (0,3)\",\"Add (2,7)\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,99],[0,3,39],[0,5,78],[1,2,98],[1,3,13],[1,4,100],[1,5,52],[2,3,89],[2,7,81],[3,4,12],[3,5,36],[3,6,86],[3,7,46],[4,5,75],[4,6,84],[4,7,29],[5,6,19],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12, w=12\",\"Add (1,3)=13, w=25\",\"Add (5,6)=19, w=44\",\"Add (6,7)=27, w=71\",\"Add (4,7)=29, w=100\",\"Add (0,3)=39, w=139\",\"Add (2,7)=81, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,99],[0,3,39],[0,5,78],[1,2,98],[1,3,13],[1,4,100],[1,5,52],[2,3,89],[2,7,81],[3,4,12],[3,5,36],[3,6,86],[3,7,46],[4,5,75],[4,6,84],[4,7,29],[5,6,19],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12 Succeeded, w=12\",\"Add (1,3)=13 Succeeded, w=25\",\"Add (5,6)=19 Succeeded, w=44\",\"Add (6,7)=27 Succeeded, w=71\",\"Add (4,7)=29 Succeeded, w=100\",\"Add (3,5)=36 Failed, w=100\",\"Add (0,3)=39 Succeeded, w=139\",\"Add (3,7)=46 Failed, w=139\",\"Add (1,5)=52 Failed, w=139\",\"Add (4,5)=75 Failed, w=139\",\"Add (0,5)=78 Failed, w=139\",\"Add (2,7)=81 Succeeded, w=220\",\"Add (4,6)=84 Failed, w=220\",\"Add (3,6)=86 Failed, w=220\",\"Add (2,3)=89 Failed, w=220\",\"Add (1,2)=98 Failed, w=220\",\"Add (0,2)=99 Failed, w=220\",\"Add (1,4)=100 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,99],[0,3,39],[0,5,78],[1,2,98],[1,3,13],[1,4,100],[1,5,52],[2,3,89],[2,7,81],[3,4,12],[3,5,36],[3,6,86],[3,7,46],[4,5,75],[4,6,84],[4,7,29],[5,6,19],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(1,3)=13,(5,6)=19,(6,7)=27,(4,7)=29,(3,5)=36,(0,3)=39,(3,7)=46,(1,5)=52,(4,5)=75,(0,5)=78,(2,7)=81,(4,6)=84,(3,6)=86,(2,3)=89,(1,2)=98,(0,2)=99,(1,4)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=25\",\"Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=44\",\"Find(6)=5, Find(7)=7, Add (6,7)=27 Succeeded, w=71\",\"Find(4)=3, Find(7)=5, Add (4,7)=29 Succeeded, w=100\",\"Find(3)=3, Find(5)=3, Add (3,5)=36 Failed, w=100\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=139\",\"Find(3)=3, Find(7)=3, Add (3,7)=46 Failed, w=139\",\"Find(1)=3, Find(5)=3, Add (1,5)=52 Failed, w=139\",\"Find(4)=3, Find(5)=3, Add (4,5)=75 Failed, w=139\",\"Find(0)=3, Find(5)=3, Add (0,5)=78 Failed, w=139\",\"Find(2)=2, Find(7)=3, Add (2,7)=81 Succeeded, w=220\",\"Find(4)=3, Find(6)=3, Add (4,6)=84 Failed, w=220\",\"Find(3)=3, Find(6)=3, Add (3,6)=86 Failed, w=220\",\"Find(2)=3, Find(3)=3, Add (2,3)=89 Failed, w=220\",\"Find(1)=3, Find(2)=3, Add (1,2)=98 Failed, w=220\",\"Find(0)=3, Find(2)=3, Add (0,2)=99 Failed, w=220\",\"Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,99],[0,3,39],[0,5,78],[1,2,98],[1,3,13],[1,4,100],[1,5,52],[2,3,89],[2,7,81],[3,4,12],[3,5,36],[3,6,86],[3,7,46],[4,5,75],[4,6,84],[4,7,29],[5,6,19],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(1,3)=13,(5,6)=19,(6,7)=27,(4,7)=29,(3,5)=36,(0,3)=39,(3,7)=46,(1,5)=52,(4,5)=75,(0,5)=78,(2,7)=81,(4,6)=84,(3,6)=86,(2,3)=89,(1,2)=98,(0,2)=99,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=44\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=7, Add (6,7)=27 Succeeded, w=71\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 5, 7: 5}, Find(4)=3, Find(7)=5, Add (4,7)=29 Succeeded, w=100\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 5, 7: 5}, Find(3)=3, Find(5)=3, Add (3,5)=36 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 5, 7: 5}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=139\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 5, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=46 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 5, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=52 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 5, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=75 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 5, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=78 Failed, w=139\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=81 Succeeded, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=84 Failed, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=86 Failed, w=220\",\"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)=89 Failed, w=220\",\"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)=98 Failed, w=220\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=99 Failed, w=220\",\"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)=100 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,40],[0,2,13],[0,3,28],[1,2,5],[1,3,17],[2,3,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,13],[0,3,28],[1,2,5],[1,3,17],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,13],[0,3,28],[1,2,5],[1,3,17],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,13],[0,3,28],[1,2,5],[1,3,17],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (0,2)=13, w=18\",\"Add (1,3)=17, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,13],[0,3,28],[1,2,5],[1,3,17],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (0,2)=13 Succeeded, w=18\",\"Add (1,3)=17 Succeeded, w=35\",\"Add (2,3)=17 Failed, w=35\",\"Add (0,3)=28 Failed, w=35\",\"Add (0,1)=40 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,13],[0,3,28],[1,2,5],[1,3,17],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,2)=13,(1,3)=17,(2,3)=17,(0,3)=28,(0,1)=40]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=1, Add (0,2)=13 Succeeded, w=18\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=35\",\"Find(2)=1, Find(3)=1, Add (2,3)=17 Failed, w=35\",\"Find(0)=1, Find(3)=1, Add (0,3)=28 Failed, w=35\",\"Find(0)=1, Find(1)=1, Add (0,1)=40 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,13],[0,3,28],[1,2,5],[1,3,17],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,2)=13,(1,3)=17,(2,3)=17,(0,3)=28,(0,1)=40]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=13 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=17 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=28 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=40 Failed, w=35\"],\"Answer\":35}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,71],[0,3,7],[1,2,2],[2,3,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,7],[1,2,2],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,7],[1,2,2],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,7],[1,2,2],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (2,3)=3, w=5\",\"Add (0,3)=7, w=12\"],\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,7],[1,2,2],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (2,3)=3 Succeeded, w=5\",\"Add (0,3)=7 Succeeded, w=12\",\"Add (0,1)=71 Failed, w=12\"],\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,7],[1,2,2],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(2,3)=3,(0,3)=7,(0,1)=71]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(2)=1, Find(3)=3, Add (2,3)=3 Succeeded, w=5\",\"Find(0)=0, Find(3)=1, Add (0,3)=7 Succeeded, w=12\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=12\"],\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,3,7],[1,2,2],[2,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(2,3)=3,(0,3)=7,(0,1)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=3 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=7 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=12\"],\"Answer\":12}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,65],[0,2,59],[0,3,62],[1,2,53],[1,3,81],[2,3,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,59],[0,3,62],[1,2,53],[1,3,81],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,59],[0,3,62],[1,2,53],[1,3,81],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,59],[0,3,62],[1,2,53],[1,3,81],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=40, w=40\",\"Add (1,2)=53, w=93\",\"Add (0,2)=59, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,59],[0,3,62],[1,2,53],[1,3,81],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=40 Succeeded, w=40\",\"Add (1,2)=53 Succeeded, w=93\",\"Add (0,2)=59 Succeeded, w=152\",\"Add (0,3)=62 Failed, w=152\",\"Add (0,1)=65 Failed, w=152\",\"Add (1,3)=81 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,59],[0,3,62],[1,2,53],[1,3,81],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=40,(1,2)=53,(0,2)=59,(0,3)=62,(0,1)=65,(1,3)=81]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=40\",\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=93\",\"Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=152\",\"Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=152\",\"Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=152\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,59],[0,3,62],[1,2,53],[1,3,81],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=40,(1,2)=53,(0,2)=59,(0,3)=62,(0,1)=65,(1,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=59 Succeeded, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,2,24],[0,3,59],[0,5,34],[0,6,21],[1,2,95],[1,3,96],[1,4,58],[1,5,50],[1,6,32],[2,5,63],[2,6,80],[3,4,2],[3,5,89],[3,6,81],[4,6,30],[5,6,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,59],[0,5,34],[0,6,21],[1,2,95],[1,3,96],[1,4,58],[1,5,50],[1,6,32],[2,5,63],[2,6,80],[3,4,2],[3,5,89],[3,6,81],[4,6,30],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,59],[0,5,34],[0,6,21],[1,2,95],[1,3,96],[1,4,58],[1,5,50],[1,6,32],[2,5,63],[2,6,80],[3,4,2],[3,5,89],[3,6,81],[4,6,30],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (4,6)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,59],[0,5,34],[0,6,21],[1,2,95],[1,3,96],[1,4,58],[1,5,50],[1,6,32],[2,5,63],[2,6,80],[3,4,2],[3,5,89],[3,6,81],[4,6,30],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (0,1)=9, w=11\",\"Add (5,6)=11, w=22\",\"Add (0,6)=21, w=43\",\"Add (0,2)=24, w=67\",\"Add (4,6)=30, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,59],[0,5,34],[0,6,21],[1,2,95],[1,3,96],[1,4,58],[1,5,50],[1,6,32],[2,5,63],[2,6,80],[3,4,2],[3,5,89],[3,6,81],[4,6,30],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,1)=9 Succeeded, w=11\",\"Add (5,6)=11 Succeeded, w=22\",\"Add (0,6)=21 Succeeded, w=43\",\"Add (0,2)=24 Succeeded, w=67\",\"Add (4,6)=30 Succeeded, w=97\",\"Add (1,6)=32 Failed, w=97\",\"Add (0,5)=34 Failed, w=97\",\"Add (1,5)=50 Failed, w=97\",\"Add (1,4)=58 Failed, w=97\",\"Add (0,3)=59 Failed, w=97\",\"Add (2,5)=63 Failed, w=97\",\"Add (2,6)=80 Failed, w=97\",\"Add (3,6)=81 Failed, w=97\",\"Add (3,5)=89 Failed, w=97\",\"Add (1,2)=95 Failed, w=97\",\"Add (1,3)=96 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,59],[0,5,34],[0,6,21],[1,2,95],[1,3,96],[1,4,58],[1,5,50],[1,6,32],[2,5,63],[2,6,80],[3,4,2],[3,5,89],[3,6,81],[4,6,30],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,1)=9,(5,6)=11,(0,6)=21,(0,2)=24,(4,6)=30,(1,6)=32,(0,5)=34,(1,5)=50,(1,4)=58,(0,3)=59,(2,5)=63,(2,6)=80,(3,6)=81,(3,5)=89,(1,2)=95,(1,3)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=11\",\"Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=22\",\"Find(0)=0, Find(6)=5, Add (0,6)=21 Succeeded, w=43\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=67\",\"Find(4)=3, Find(6)=0, Add (4,6)=30 Succeeded, w=97\",\"Find(1)=0, Find(6)=0, Add (1,6)=32 Failed, w=97\",\"Find(0)=0, Find(5)=0, Add (0,5)=34 Failed, w=97\",\"Find(1)=0, Find(5)=0, Add (1,5)=50 Failed, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=97\",\"Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=97\",\"Find(2)=0, Find(6)=0, Add (2,6)=80 Failed, w=97\",\"Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=97\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=97\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,24],[0,3,59],[0,5,34],[0,6,21],[1,2,95],[1,3,96],[1,4,58],[1,5,50],[1,6,32],[2,5,63],[2,6,80],[3,4,2],[3,5,89],[3,6,81],[4,6,30],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,1)=9,(5,6)=11,(0,6)=21,(0,2)=24,(4,6)=30,(1,6)=32,(0,5)=34,(1,5)=50,(1,4)=58,(0,3)=59,(2,5)=63,(2,6)=80,(3,6)=81,(3,5)=89,(1,2)=95,(1,3)=96]\",\"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)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 0, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=21 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(4)=3, Find(6)=0, Add (4,6)=30 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=32 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=34 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=50 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=80 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=97\",\"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=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,2,45],[0,3,48],[1,3,11],[1,4,67],[2,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,45],[0,3,48],[1,3,11],[1,4,67],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,45],[0,3,48],[1,3,11],[1,4,67],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,45],[0,3,48],[1,3,11],[1,4,67],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (0,2)=45, w=56\",\"Add (0,3)=48, w=104\",\"Add (2,4)=54, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,45],[0,3,48],[1,3,11],[1,4,67],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (0,2)=45 Succeeded, w=56\",\"Add (0,3)=48 Succeeded, w=104\",\"Add (2,4)=54 Succeeded, w=158\",\"Add (1,4)=67 Failed, w=158\",\"Add (0,1)=78 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,45],[0,3,48],[1,3,11],[1,4,67],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(0,2)=45,(0,3)=48,(2,4)=54,(1,4)=67,(0,1)=78]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=56\",\"Find(0)=0, Find(3)=1, Add (0,3)=48 Succeeded, w=104\",\"Find(2)=0, Find(4)=4, Add (2,4)=54 Succeeded, w=158\",\"Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=158\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,45],[0,3,48],[1,3,11],[1,4,67],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(0,2)=45,(0,3)=48,(2,4)=54,(1,4)=67,(0,1)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=48 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=54 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,60],[0,2,29],[0,3,1],[0,4,73],[1,2,91],[1,3,4],[2,3,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,29],[0,3,1],[0,4,73],[1,2,91],[1,3,4],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,29],[0,3,1],[0,4,73],[1,2,91],[1,3,4],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,29],[0,3,1],[0,4,73],[1,2,91],[1,3,4],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (1,3)=4, w=5\",\"Add (0,2)=29, w=34\",\"Add (0,4)=73, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,29],[0,3,1],[0,4,73],[1,2,91],[1,3,4],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (1,3)=4 Succeeded, w=5\",\"Add (0,2)=29 Succeeded, w=34\",\"Add (0,1)=60 Failed, w=34\",\"Add (2,3)=63 Failed, w=34\",\"Add (0,4)=73 Succeeded, w=107\",\"Add (1,2)=91 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,29],[0,3,1],[0,4,73],[1,2,91],[1,3,4],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=4,(0,2)=29,(0,1)=60,(2,3)=63,(0,4)=73,(1,2)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=0, Add (1,3)=4 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=34\",\"Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=34\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=34\",\"Find(0)=0, Find(4)=4, Add (0,4)=73 Succeeded, w=107\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,29],[0,3,1],[0,4,73],[1,2,91],[1,3,4],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=4,(0,2)=29,(0,1)=60,(2,3)=63,(0,4)=73,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=73 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,47],[0,3,64],[1,3,44],[1,4,12],[2,3,84],[2,4,31],[3,4,94],[3,5,29],[4,5,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,64],[1,3,44],[1,4,12],[2,3,84],[2,4,31],[3,4,94],[3,5,29],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,64],[1,3,44],[1,4,12],[2,3,84],[2,4,31],[3,4,94],[3,5,29],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,64],[1,3,44],[1,4,12],[2,3,84],[2,4,31],[3,4,94],[3,5,29],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=12, w=12\",\"Add (3,5)=29, w=41\",\"Add (2,4)=31, w=72\",\"Add (1,3)=44, w=116\",\"Add (0,2)=47, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,64],[1,3,44],[1,4,12],[2,3,84],[2,4,31],[3,4,94],[3,5,29],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=12 Succeeded, w=12\",\"Add (3,5)=29 Succeeded, w=41\",\"Add (2,4)=31 Succeeded, w=72\",\"Add (1,3)=44 Succeeded, w=116\",\"Add (0,2)=47 Succeeded, w=163\",\"Add (0,3)=64 Failed, w=163\",\"Add (2,3)=84 Failed, w=163\",\"Add (3,4)=94 Failed, w=163\",\"Add (4,5)=97 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,64],[1,3,44],[1,4,12],[2,3,84],[2,4,31],[3,4,94],[3,5,29],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=12,(3,5)=29,(2,4)=31,(1,3)=44,(0,2)=47,(0,3)=64,(2,3)=84,(3,4)=94,(4,5)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=12\",\"Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=41\",\"Find(2)=2, Find(4)=1, Add (2,4)=31 Succeeded, w=72\",\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=116\",\"Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=163\",\"Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=163\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=163\",\"Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=163\",\"Find(4)=1, Find(5)=1, Add (4,5)=97 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,47],[0,3,64],[1,3,44],[1,4,12],[2,3,84],[2,4,31],[3,4,94],[3,5,29],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=12,(3,5)=29,(2,4)=31,(1,3)=44,(0,2)=47,(0,3)=64,(2,3)=84,(3,4)=94,(4,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3}, Find(2)=2, Find(4)=1, Add (2,4)=31 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=97 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,98],[0,3,83],[0,4,81],[0,5,45],[0,7,88],[1,3,29],[1,4,36],[1,7,68],[2,3,75],[2,5,32],[2,7,67],[3,5,54],[4,7,6],[5,6,15],[6,7,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,83],[0,4,81],[0,5,45],[0,7,88],[1,3,29],[1,4,36],[1,7,68],[2,3,75],[2,5,32],[2,7,67],[3,5,54],[4,7,6],[5,6,15],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,83],[0,4,81],[0,5,45],[0,7,88],[1,3,29],[1,4,36],[1,7,68],[2,3,75],[2,5,32],[2,7,67],[3,5,54],[4,7,6],[5,6,15],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (5,6)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (6,7)\",\"Add (0,5)\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,83],[0,4,81],[0,5,45],[0,7,88],[1,3,29],[1,4,36],[1,7,68],[2,3,75],[2,5,32],[2,7,67],[3,5,54],[4,7,6],[5,6,15],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=6, w=6\",\"Add (5,6)=15, w=21\",\"Add (1,3)=29, w=50\",\"Add (2,5)=32, w=82\",\"Add (1,4)=36, w=118\",\"Add (6,7)=42, w=160\",\"Add (0,5)=45, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,83],[0,4,81],[0,5,45],[0,7,88],[1,3,29],[1,4,36],[1,7,68],[2,3,75],[2,5,32],[2,7,67],[3,5,54],[4,7,6],[5,6,15],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=6 Succeeded, w=6\",\"Add (5,6)=15 Succeeded, w=21\",\"Add (1,3)=29 Succeeded, w=50\",\"Add (2,5)=32 Succeeded, w=82\",\"Add (1,4)=36 Succeeded, w=118\",\"Add (6,7)=42 Succeeded, w=160\",\"Add (0,5)=45 Succeeded, w=205\",\"Add (3,5)=54 Failed, w=205\",\"Add (2,7)=67 Failed, w=205\",\"Add (1,7)=68 Failed, w=205\",\"Add (2,3)=75 Failed, w=205\",\"Add (0,4)=81 Failed, w=205\",\"Add (0,3)=83 Failed, w=205\",\"Add (0,7)=88 Failed, w=205\",\"Add (0,2)=98 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,83],[0,4,81],[0,5,45],[0,7,88],[1,3,29],[1,4,36],[1,7,68],[2,3,75],[2,5,32],[2,7,67],[3,5,54],[4,7,6],[5,6,15],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=6,(5,6)=15,(1,3)=29,(2,5)=32,(1,4)=36,(6,7)=42,(0,5)=45,(3,5)=54,(2,7)=67,(1,7)=68,(2,3)=75,(0,4)=81,(0,3)=83,(0,7)=88,(0,2)=98]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=6 Succeeded, w=6\",\"Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=50\",\"Find(2)=2, Find(5)=5, Add (2,5)=32 Succeeded, w=82\",\"Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=118\",\"Find(6)=5, Find(7)=1, Add (6,7)=42 Succeeded, w=160\",\"Find(0)=0, Find(5)=1, Add (0,5)=45 Succeeded, w=205\",\"Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=205\",\"Find(2)=1, Find(7)=1, Add (2,7)=67 Failed, w=205\",\"Find(1)=1, Find(7)=1, Add (1,7)=68 Failed, w=205\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=205\",\"Find(0)=1, Find(4)=1, Add (0,4)=81 Failed, w=205\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=205\",\"Find(0)=1, Find(7)=1, Add (0,7)=88 Failed, w=205\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,83],[0,4,81],[0,5,45],[0,7,88],[1,3,29],[1,4,36],[1,7,68],[2,3,75],[2,5,32],[2,7,67],[3,5,54],[4,7,6],[5,6,15],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=6,(5,6)=15,(1,3)=29,(2,5)=32,(1,4)=36,(6,7)=42,(0,5)=45,(3,5)=54,(2,7)=67,(1,7)=68,(2,3)=75,(0,4)=81,(0,3)=83,(0,7)=88,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 4}, Find(5)=5, Find(6)=6, Add (5,6)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 1, 4: 4, 5: 5, 6: 5, 7: 4}, Find(2)=2, Find(5)=5, Add (2,5)=32 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 1, 4: 1, 5: 5, 6: 5, 7: 4}, Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=118\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(6)=5, Find(7)=1, Add (6,7)=42 Succeeded, w=160\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=45 Succeeded, w=205\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=67 Failed, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=68 Failed, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=81 Failed, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=88 Failed, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=205\"],\"Answer\":205}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,1],[0,2,2],[0,3,78],[1,3,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,2],[0,3,78],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":3}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,2],[0,3,78],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":3}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,2],[0,3,78],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,1)=1, w=1\",\"Add (0,2)=2, w=3\"],\"Answer\":3}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,2],[0,3,78],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,1)=1 Succeeded, w=1\",\"Add (0,2)=2 Succeeded, w=3\",\"Add (0,3)=78 Failed, w=3\"],\"Answer\":3}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,2],[0,3,78],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=1,(0,2)=2,(0,3)=78]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(0)=1, Find(2)=2, Add (0,2)=2 Succeeded, w=3\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=3\"],\"Answer\":3}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,2],[0,3,78],[1,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,1)=1,(0,2)=2,(0,3)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=2 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=3\"],\"Answer\":3}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,31],[0,3,79],[0,4,60],[0,6,4],[1,2,56],[1,3,33],[1,4,64],[1,5,83],[1,6,49],[2,4,53],[3,4,35],[3,6,28],[4,5,74],[4,6,53],[5,6,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,31],[0,3,79],[0,4,60],[0,6,4],[1,2,56],[1,3,33],[1,4,64],[1,5,83],[1,6,49],[2,4,53],[3,4,35],[3,6,28],[4,5,74],[4,6,53],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,31],[0,3,79],[0,4,60],[0,6,4],[1,2,56],[1,3,33],[1,4,64],[1,5,83],[1,6,49],[2,4,53],[3,4,35],[3,6,28],[4,5,74],[4,6,53],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,6)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,31],[0,3,79],[0,4,60],[0,6,4],[1,2,56],[1,3,33],[1,4,64],[1,5,83],[1,6,49],[2,4,53],[3,4,35],[3,6,28],[4,5,74],[4,6,53],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (0,6)=4, w=4\",\"Add (3,6)=28, w=32\",\"Add (0,2)=31, w=63\",\"Add (1,3)=33, w=96\",\"Add (3,4)=35, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,31],[0,3,79],[0,4,60],[0,6,4],[1,2,56],[1,3,33],[1,4,64],[1,5,83],[1,6,49],[2,4,53],[3,4,35],[3,6,28],[4,5,74],[4,6,53],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (0,6)=4 Succeeded, w=4\",\"Add (3,6)=28 Succeeded, w=32\",\"Add (0,2)=31 Succeeded, w=63\",\"Add (1,3)=33 Succeeded, w=96\",\"Add (3,4)=35 Succeeded, w=131\",\"Add (1,6)=49 Failed, w=131\",\"Add (2,4)=53 Failed, w=131\",\"Add (4,6)=53 Failed, w=131\",\"Add (1,2)=56 Failed, w=131\",\"Add (0,4)=60 Failed, w=131\",\"Add (1,4)=64 Failed, w=131\",\"Add (4,5)=74 Failed, w=131\",\"Add (0,3)=79 Failed, w=131\",\"Add (1,5)=83 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,31],[0,3,79],[0,4,60],[0,6,4],[1,2,56],[1,3,33],[1,4,64],[1,5,83],[1,6,49],[2,4,53],[3,4,35],[3,6,28],[4,5,74],[4,6,53],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(0,6)=4,(3,6)=28,(0,2)=31,(1,3)=33,(3,4)=35,(1,6)=49,(2,4)=53,(4,6)=53,(1,2)=56,(0,4)=60,(1,4)=64,(4,5)=74,(0,3)=79,(1,5)=83]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(6)=5, Add (0,6)=4 Succeeded, w=4\",\"Find(3)=3, Find(6)=5, Add (3,6)=28 Succeeded, w=32\",\"Find(0)=5, Find(2)=2, Add (0,2)=31 Succeeded, w=63\",\"Find(1)=1, Find(3)=5, Add (1,3)=33 Succeeded, w=96\",\"Find(3)=5, Find(4)=4, Add (3,4)=35 Succeeded, w=131\",\"Find(1)=5, Find(6)=5, Add (1,6)=49 Failed, w=131\",\"Find(2)=5, Find(4)=5, Add (2,4)=53 Failed, w=131\",\"Find(4)=5, Find(6)=5, Add (4,6)=53 Failed, w=131\",\"Find(1)=5, Find(2)=5, Add (1,2)=56 Failed, w=131\",\"Find(0)=5, Find(4)=5, Add (0,4)=60 Failed, w=131\",\"Find(1)=5, Find(4)=5, Add (1,4)=64 Failed, w=131\",\"Find(4)=5, Find(5)=5, Add (4,5)=74 Failed, w=131\",\"Find(0)=5, Find(3)=5, Add (0,3)=79 Failed, w=131\",\"Find(1)=5, Find(5)=5, Add (1,5)=83 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,31],[0,3,79],[0,4,60],[0,6,4],[1,2,56],[1,3,33],[1,4,64],[1,5,83],[1,6,49],[2,4,53],[3,4,35],[3,6,28],[4,5,74],[4,6,53],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(0,6)=4,(3,6)=28,(0,2)=31,(1,3)=33,(3,4)=35,(1,6)=49,(2,4)=53,(4,6)=53,(1,2)=56,(0,4)=60,(1,4)=64,(4,5)=74,(0,3)=79,(1,5)=83]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=4 Succeeded, w=4\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=28 Succeeded, w=32\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5}, Find(0)=5, Find(2)=2, Add (0,2)=31 Succeeded, w=63\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(3)=5, Add (1,3)=33 Succeeded, w=96\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(4)=4, Add (3,4)=35 Succeeded, w=131\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(6)=5, Add (1,6)=49 Failed, w=131\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=53 Failed, w=131\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(6)=5, Add (4,6)=53 Failed, w=131\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(2)=5, Add (1,2)=56 Failed, w=131\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=60 Failed, w=131\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=5, Add (1,4)=64 Failed, w=131\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=74 Failed, w=131\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=5, Add (0,3)=79 Failed, w=131\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(5)=5, Add (1,5)=83 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,2,31],[0,3,41],[0,4,31],[1,2,48],[1,3,16],[1,4,68],[2,3,42],[2,4,24],[3,4,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,31],[0,3,41],[0,4,31],[1,2,48],[1,3,16],[1,4,68],[2,3,42],[2,4,24],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,31],[0,3,41],[0,4,31],[1,2,48],[1,3,16],[1,4,68],[2,3,42],[2,4,24],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,31],[0,3,41],[0,4,31],[1,2,48],[1,3,16],[1,4,68],[2,3,42],[2,4,24],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16, w=16\",\"Add (3,4)=23, w=39\",\"Add (2,4)=24, w=63\",\"Add (0,2)=31, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,31],[0,3,41],[0,4,31],[1,2,48],[1,3,16],[1,4,68],[2,3,42],[2,4,24],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16 Succeeded, w=16\",\"Add (3,4)=23 Succeeded, w=39\",\"Add (2,4)=24 Succeeded, w=63\",\"Add (0,2)=31 Succeeded, w=94\",\"Add (0,4)=31 Failed, w=94\",\"Add (0,3)=41 Failed, w=94\",\"Add (2,3)=42 Failed, w=94\",\"Add (1,2)=48 Failed, w=94\",\"Add (0,1)=65 Failed, w=94\",\"Add (1,4)=68 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,31],[0,3,41],[0,4,31],[1,2,48],[1,3,16],[1,4,68],[2,3,42],[2,4,24],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(3,4)=23,(2,4)=24,(0,2)=31,(0,4)=31,(0,3)=41,(2,3)=42,(1,2)=48,(0,1)=65,(1,4)=68]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Find(3)=1, Find(4)=4, Add (3,4)=23 Succeeded, w=39\",\"Find(2)=2, Find(4)=1, Add (2,4)=24 Succeeded, w=63\",\"Find(0)=0, Find(2)=1, Add (0,2)=31 Succeeded, w=94\",\"Find(0)=1, Find(4)=1, Add (0,4)=31 Failed, w=94\",\"Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=94\",\"Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=94\",\"Find(1)=1, Find(2)=1, Add (1,2)=48 Failed, w=94\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=94\",\"Find(1)=1, Find(4)=1, Add (1,4)=68 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,31],[0,3,41],[0,4,31],[1,2,48],[1,3,16],[1,4,68],[2,3,42],[2,4,24],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(3,4)=23,(2,4)=24,(0,2)=31,(0,4)=31,(0,3)=41,(2,3)=42,(1,2)=48,(0,1)=65,(1,4)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=23 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=24 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=31 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=31 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=48 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=68 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,3,3],[1,3,2],[2,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,3,3],[1,3,2],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,3,3],[1,3,2],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,3,3],[1,3,2],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,3)=3, w=5\",\"Add (2,3)=51, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,3,3],[1,3,2],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,3)=3 Succeeded, w=5\",\"Add (2,3)=51 Succeeded, w=56\",\"Add (0,1)=84 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,3,3],[1,3,2],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,3)=3,(2,3)=51,(0,1)=84]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=1, Add (0,3)=3 Succeeded, w=5\",\"Find(2)=2, Find(3)=1, Add (2,3)=51 Succeeded, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,3,3],[1,3,2],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,3)=3,(2,3)=51,(0,1)=84]\",\"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(3)=1, Add (0,3)=3 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=51 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,94],[0,2,42],[0,3,88],[1,3,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,42],[0,3,88],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,42],[0,3,88],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,42],[0,3,88],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18, w=18\",\"Add (0,2)=42, w=60\",\"Add (0,3)=88, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,42],[0,3,88],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18 Succeeded, w=18\",\"Add (0,2)=42 Succeeded, w=60\",\"Add (0,3)=88 Succeeded, w=148\",\"Add (0,1)=94 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,42],[0,3,88],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(0,2)=42,(0,3)=88,(0,1)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=60\",\"Find(0)=0, Find(3)=1, Add (0,3)=88 Succeeded, w=148\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,94],[0,2,42],[0,3,88],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(0,2)=42,(0,3)=88,(0,1)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=88 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,26],[0,3,30],[0,5,76],[1,2,9],[1,3,54],[1,4,84],[1,5,50],[2,3,75],[2,4,96],[2,5,96],[3,4,8],[3,5,25],[4,5,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,26],[0,3,30],[0,5,76],[1,2,9],[1,3,54],[1,4,84],[1,5,50],[2,3,75],[2,4,96],[2,5,96],[3,4,8],[3,5,25],[4,5,43]]}",
"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],\"edges\":[[0,1,41],[0,2,26],[0,3,30],[0,5,76],[1,2,9],[1,3,54],[1,4,84],[1,5,50],[2,3,75],[2,4,96],[2,5,96],[3,4,8],[3,5,25],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,26],[0,3,30],[0,5,76],[1,2,9],[1,3,54],[1,4,84],[1,5,50],[2,3,75],[2,4,96],[2,5,96],[3,4,8],[3,5,25],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (1,2)=9, w=17\",\"Add (3,5)=25, w=42\",\"Add (0,2)=26, w=68\",\"Add (0,3)=30, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,26],[0,3,30],[0,5,76],[1,2,9],[1,3,54],[1,4,84],[1,5,50],[2,3,75],[2,4,96],[2,5,96],[3,4,8],[3,5,25],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (1,2)=9 Succeeded, w=17\",\"Add (3,5)=25 Succeeded, w=42\",\"Add (0,2)=26 Succeeded, w=68\",\"Add (0,3)=30 Succeeded, w=98\",\"Add (0,1)=41 Failed, w=98\",\"Add (4,5)=43 Failed, w=98\",\"Add (1,5)=50 Failed, w=98\",\"Add (1,3)=54 Failed, w=98\",\"Add (2,3)=75 Failed, w=98\",\"Add (0,5)=76 Failed, w=98\",\"Add (1,4)=84 Failed, w=98\",\"Add (2,4)=96 Failed, w=98\",\"Add (2,5)=96 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],\"edges\":[[0,1,41],[0,2,26],[0,3,30],[0,5,76],[1,2,9],[1,3,54],[1,4,84],[1,5,50],[2,3,75],[2,4,96],[2,5,96],[3,4,8],[3,5,25],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(1,2)=9,(3,5)=25,(0,2)=26,(0,3)=30,(0,1)=41,(4,5)=43,(1,5)=50,(1,3)=54,(2,3)=75,(0,5)=76,(1,4)=84,(2,4)=96,(2,5)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=17\",\"Find(3)=3, Find(5)=5, Add (3,5)=25 Succeeded, w=42\",\"Find(0)=0, Find(2)=1, Add (0,2)=26 Succeeded, w=68\",\"Find(0)=1, Find(3)=3, Add (0,3)=30 Succeeded, w=98\",\"Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=98\",\"Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=98\",\"Find(1)=1, Find(5)=1, Add (1,5)=50 Failed, w=98\",\"Find(1)=1, Find(3)=1, Add (1,3)=54 Failed, w=98\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=98\",\"Find(0)=1, Find(5)=1, Add (0,5)=76 Failed, w=98\",\"Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=98\",\"Find(2)=1, Find(4)=1, Add (2,4)=96 Failed, w=98\",\"Find(2)=1, Find(5)=1, Add (2,5)=96 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],\"edges\":[[0,1,41],[0,2,26],[0,3,30],[0,5,76],[1,2,9],[1,3,54],[1,4,84],[1,5,50],[2,3,75],[2,4,96],[2,5,96],[3,4,8],[3,5,25],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(1,2)=9,(3,5)=25,(0,2)=26,(0,3)=30,(0,1)=41,(4,5)=43,(1,5)=50,(1,3)=54,(2,3)=75,(0,5)=76,(1,4)=84,(2,4)=96,(2,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=25 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(2)=1, Add (0,2)=26 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3}, Find(0)=1, Find(3)=3, Add (0,3)=30 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=50 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=54 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=76 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=96 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=96 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[2,3,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=30, w=30\",\"Add (0,1)=42, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=30 Succeeded, w=30\",\"Add (0,1)=42 Succeeded, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=30,(0,1)=42]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=30,(0,1)=42]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,85],[0,2,21],[0,3,76],[0,4,72],[0,5,87],[0,6,65],[1,2,52],[1,3,96],[1,4,54],[1,5,41],[1,6,35],[2,3,36],[2,4,91],[2,5,27],[3,5,60],[3,6,75],[4,5,49],[4,6,58],[5,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,21],[0,3,76],[0,4,72],[0,5,87],[0,6,65],[1,2,52],[1,3,96],[1,4,54],[1,5,41],[1,6,35],[2,3,36],[2,4,91],[2,5,27],[3,5,60],[3,6,75],[4,5,49],[4,6,58],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,21],[0,3,76],[0,4,72],[0,5,87],[0,6,65],[1,2,52],[1,3,96],[1,4,54],[1,5,41],[1,6,35],[2,3,36],[2,4,91],[2,5,27],[3,5,60],[3,6,75],[4,5,49],[4,6,58],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (2,3)\",\"Add (4,5)\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,21],[0,3,76],[0,4,72],[0,5,87],[0,6,65],[1,2,52],[1,3,96],[1,4,54],[1,5,41],[1,6,35],[2,3,36],[2,4,91],[2,5,27],[3,5,60],[3,6,75],[4,5,49],[4,6,58],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=12, w=12\",\"Add (0,2)=21, w=33\",\"Add (2,5)=27, w=60\",\"Add (1,6)=35, w=95\",\"Add (2,3)=36, w=131\",\"Add (4,5)=49, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,21],[0,3,76],[0,4,72],[0,5,87],[0,6,65],[1,2,52],[1,3,96],[1,4,54],[1,5,41],[1,6,35],[2,3,36],[2,4,91],[2,5,27],[3,5,60],[3,6,75],[4,5,49],[4,6,58],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=12 Succeeded, w=12\",\"Add (0,2)=21 Succeeded, w=33\",\"Add (2,5)=27 Succeeded, w=60\",\"Add (1,6)=35 Succeeded, w=95\",\"Add (2,3)=36 Succeeded, w=131\",\"Add (1,5)=41 Failed, w=131\",\"Add (4,5)=49 Succeeded, w=180\",\"Add (1,2)=52 Failed, w=180\",\"Add (1,4)=54 Failed, w=180\",\"Add (4,6)=58 Failed, w=180\",\"Add (3,5)=60 Failed, w=180\",\"Add (0,6)=65 Failed, w=180\",\"Add (0,4)=72 Failed, w=180\",\"Add (3,6)=75 Failed, w=180\",\"Add (0,3)=76 Failed, w=180\",\"Add (0,1)=85 Failed, w=180\",\"Add (0,5)=87 Failed, w=180\",\"Add (2,4)=91 Failed, w=180\",\"Add (1,3)=96 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,21],[0,3,76],[0,4,72],[0,5,87],[0,6,65],[1,2,52],[1,3,96],[1,4,54],[1,5,41],[1,6,35],[2,3,36],[2,4,91],[2,5,27],[3,5,60],[3,6,75],[4,5,49],[4,6,58],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=12,(0,2)=21,(2,5)=27,(1,6)=35,(2,3)=36,(1,5)=41,(4,5)=49,(1,2)=52,(1,4)=54,(4,6)=58,(3,5)=60,(0,6)=65,(0,4)=72,(3,6)=75,(0,3)=76,(0,1)=85,(0,5)=87,(2,4)=91,(1,3)=96]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=33\",\"Find(2)=0, Find(5)=5, Add (2,5)=27 Succeeded, w=60\",\"Find(1)=1, Find(6)=0, Add (1,6)=35 Succeeded, w=95\",\"Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=131\",\"Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=131\",\"Find(4)=4, Find(5)=0, Add (4,5)=49 Succeeded, w=180\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=180\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=180\",\"Find(4)=0, Find(6)=0, Add (4,6)=58 Failed, w=180\",\"Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=180\",\"Find(0)=0, Find(6)=0, Add (0,6)=65 Failed, w=180\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=180\",\"Find(3)=0, Find(6)=0, Add (3,6)=75 Failed, w=180\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=180\",\"Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=180\",\"Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=180\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=180\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,21],[0,3,76],[0,4,72],[0,5,87],[0,6,65],[1,2,52],[1,3,96],[1,4,54],[1,5,41],[1,6,35],[2,3,36],[2,4,91],[2,5,27],[3,5,60],[3,6,75],[4,5,49],[4,6,58],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=12,(0,2)=21,(2,5)=27,(1,6)=35,(2,3)=36,(1,5)=41,(4,5)=49,(1,2)=52,(1,4)=54,(4,6)=58,(3,5)=60,(0,6)=65,(0,4)=72,(3,6)=75,(0,3)=76,(0,1)=85,(0,5)=87,(2,4)=91,(1,3)=96]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 5}, Find(2)=0, Find(5)=5, Add (2,5)=27 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=35 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=36 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(5)=0, Add (4,5)=49 Succeeded, w=180\",\"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=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=58 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=65 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=75 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,42],[0,2,7],[0,3,9],[0,4,34],[1,2,81],[1,3,50],[2,3,15],[2,4,42],[3,4,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,7],[0,3,9],[0,4,34],[1,2,81],[1,3,50],[2,3,15],[2,4,42],[3,4,74]]}",
"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\":[[0,1,42],[0,2,7],[0,3,9],[0,4,34],[1,2,81],[1,3,50],[2,3,15],[2,4,42],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,7],[0,3,9],[0,4,34],[1,2,81],[1,3,50],[2,3,15],[2,4,42],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,3)=9, w=16\",\"Add (0,4)=34, w=50\",\"Add (0,1)=42, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,2,7],[0,3,9],[0,4,34],[1,2,81],[1,3,50],[2,3,15],[2,4,42],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,3)=9 Succeeded, w=16\",\"Add (2,3)=15 Failed, w=16\",\"Add (0,4)=34 Succeeded, w=50\",\"Add (0,1)=42 Succeeded, w=92\",\"Add (2,4)=42 Failed, w=92\",\"Add (1,3)=50 Failed, w=92\",\"Add (3,4)=74 Failed, w=92\",\"Add (1,2)=81 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\":[[0,1,42],[0,2,7],[0,3,9],[0,4,34],[1,2,81],[1,3,50],[2,3,15],[2,4,42],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,3)=9,(2,3)=15,(0,4)=34,(0,1)=42,(2,4)=42,(1,3)=50,(3,4)=74,(1,2)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=16\",\"Find(2)=0, Find(3)=0, Add (2,3)=15 Failed, w=16\",\"Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=50\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=92\",\"Find(2)=0, Find(4)=0, Add (2,4)=42 Failed, w=92\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=92\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=92\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 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\":[[0,1,42],[0,2,7],[0,3,9],[0,4,34],[1,2,81],[1,3,50],[2,3,15],[2,4,42],[3,4,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,3)=9,(2,3)=15,(0,4)=34,(0,1)=42,(2,4)=42,(1,3)=50,(3,4)=74,(1,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=15 Failed, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=42 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,65],[0,2,69],[0,3,90],[0,5,68],[0,6,25],[0,7,95],[1,2,74],[1,3,82],[1,4,69],[1,5,11],[1,6,64],[1,7,74],[2,3,51],[2,4,26],[2,5,9],[2,6,59],[3,4,9],[3,5,19],[3,6,40],[3,7,1],[4,5,64],[4,6,78],[4,7,73],[5,6,40],[5,7,8],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,69],[0,3,90],[0,5,68],[0,6,25],[0,7,95],[1,2,74],[1,3,82],[1,4,69],[1,5,11],[1,6,64],[1,7,74],[2,3,51],[2,4,26],[2,5,9],[2,6,59],[3,4,9],[3,5,19],[3,6,40],[3,7,1],[4,5,64],[4,6,78],[4,7,73],[5,6,40],[5,7,8],[6,7,8]]}",
"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\":[[0,1,65],[0,2,69],[0,3,90],[0,5,68],[0,6,25],[0,7,95],[1,2,74],[1,3,82],[1,4,69],[1,5,11],[1,6,64],[1,7,74],[2,3,51],[2,4,26],[2,5,9],[2,6,59],[3,4,9],[3,5,19],[3,6,40],[3,7,1],[4,5,64],[4,6,78],[4,7,73],[5,6,40],[5,7,8],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (5,7)\",\"Add (6,7)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (0,6)\"],\"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\":[[0,1,65],[0,2,69],[0,3,90],[0,5,68],[0,6,25],[0,7,95],[1,2,74],[1,3,82],[1,4,69],[1,5,11],[1,6,64],[1,7,74],[2,3,51],[2,4,26],[2,5,9],[2,6,59],[3,4,9],[3,5,19],[3,6,40],[3,7,1],[4,5,64],[4,6,78],[4,7,73],[5,6,40],[5,7,8],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=1, w=1\",\"Add (5,7)=8, w=9\",\"Add (6,7)=8, w=17\",\"Add (2,5)=9, w=26\",\"Add (3,4)=9, w=35\",\"Add (1,5)=11, w=46\",\"Add (0,6)=25, 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\":[[0,1,65],[0,2,69],[0,3,90],[0,5,68],[0,6,25],[0,7,95],[1,2,74],[1,3,82],[1,4,69],[1,5,11],[1,6,64],[1,7,74],[2,3,51],[2,4,26],[2,5,9],[2,6,59],[3,4,9],[3,5,19],[3,6,40],[3,7,1],[4,5,64],[4,6,78],[4,7,73],[5,6,40],[5,7,8],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=1 Succeeded, w=1\",\"Add (5,7)=8 Succeeded, w=9\",\"Add (6,7)=8 Succeeded, w=17\",\"Add (2,5)=9 Succeeded, w=26\",\"Add (3,4)=9 Succeeded, w=35\",\"Add (1,5)=11 Succeeded, w=46\",\"Add (3,5)=19 Failed, w=46\",\"Add (0,6)=25 Succeeded, w=71\",\"Add (2,4)=26 Failed, w=71\",\"Add (3,6)=40 Failed, w=71\",\"Add (5,6)=40 Failed, w=71\",\"Add (2,3)=51 Failed, w=71\",\"Add (2,6)=59 Failed, w=71\",\"Add (1,6)=64 Failed, w=71\",\"Add (4,5)=64 Failed, w=71\",\"Add (0,1)=65 Failed, w=71\",\"Add (0,5)=68 Failed, w=71\",\"Add (0,2)=69 Failed, w=71\",\"Add (1,4)=69 Failed, w=71\",\"Add (4,7)=73 Failed, w=71\",\"Add (1,2)=74 Failed, w=71\",\"Add (1,7)=74 Failed, w=71\",\"Add (4,6)=78 Failed, w=71\",\"Add (1,3)=82 Failed, w=71\",\"Add (0,3)=90 Failed, w=71\",\"Add (0,7)=95 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\":[[0,1,65],[0,2,69],[0,3,90],[0,5,68],[0,6,25],[0,7,95],[1,2,74],[1,3,82],[1,4,69],[1,5,11],[1,6,64],[1,7,74],[2,3,51],[2,4,26],[2,5,9],[2,6,59],[3,4,9],[3,5,19],[3,6,40],[3,7,1],[4,5,64],[4,6,78],[4,7,73],[5,6,40],[5,7,8],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=1,(5,7)=8,(6,7)=8,(2,5)=9,(3,4)=9,(1,5)=11,(3,5)=19,(0,6)=25,(2,4)=26,(3,6)=40,(5,6)=40,(2,3)=51,(2,6)=59,(1,6)=64,(4,5)=64,(0,1)=65,(0,5)=68,(0,2)=69,(1,4)=69,(4,7)=73,(1,2)=74,(1,7)=74,(4,6)=78,(1,3)=82,(0,3)=90,(0,7)=95]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(5)=5, Find(7)=3, Add (5,7)=8 Succeeded, w=9\",\"Find(6)=6, Find(7)=3, Add (6,7)=8 Succeeded, w=17\",\"Find(2)=2, Find(5)=3, Add (2,5)=9 Succeeded, w=26\",\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=35\",\"Find(1)=1, Find(5)=3, Add (1,5)=11 Succeeded, w=46\",\"Find(3)=3, Find(5)=3, Add (3,5)=19 Failed, w=46\",\"Find(0)=0, Find(6)=3, Add (0,6)=25 Succeeded, w=71\",\"Find(2)=3, Find(4)=3, Add (2,4)=26 Failed, w=71\",\"Find(3)=3, Find(6)=3, Add (3,6)=40 Failed, w=71\",\"Find(5)=3, Find(6)=3, Add (5,6)=40 Failed, w=71\",\"Find(2)=3, Find(3)=3, Add (2,3)=51 Failed, w=71\",\"Find(2)=3, Find(6)=3, Add (2,6)=59 Failed, w=71\",\"Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=71\",\"Find(4)=3, Find(5)=3, Add (4,5)=64 Failed, w=71\",\"Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=71\",\"Find(0)=3, Find(5)=3, Add (0,5)=68 Failed, w=71\",\"Find(0)=3, Find(2)=3, Add (0,2)=69 Failed, w=71\",\"Find(1)=3, Find(4)=3, Add (1,4)=69 Failed, w=71\",\"Find(4)=3, Find(7)=3, Add (4,7)=73 Failed, w=71\",\"Find(1)=3, Find(2)=3, Add (1,2)=74 Failed, w=71\",\"Find(1)=3, Find(7)=3, Add (1,7)=74 Failed, w=71\",\"Find(4)=3, Find(6)=3, Add (4,6)=78 Failed, w=71\",\"Find(1)=3, Find(3)=3, Add (1,3)=82 Failed, w=71\",\"Find(0)=3, Find(3)=3, Add (0,3)=90 Failed, w=71\",\"Find(0)=3, Find(7)=3, Add (0,7)=95 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\":[[0,1,65],[0,2,69],[0,3,90],[0,5,68],[0,6,25],[0,7,95],[1,2,74],[1,3,82],[1,4,69],[1,5,11],[1,6,64],[1,7,74],[2,3,51],[2,4,26],[2,5,9],[2,6,59],[3,4,9],[3,5,19],[3,6,40],[3,7,1],[4,5,64],[4,6,78],[4,7,73],[5,6,40],[5,7,8],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=1,(5,7)=8,(6,7)=8,(2,5)=9,(3,4)=9,(1,5)=11,(3,5)=19,(0,6)=25,(2,4)=26,(3,6)=40,(5,6)=40,(2,3)=51,(2,6)=59,(1,6)=64,(4,5)=64,(0,1)=65,(0,5)=68,(0,2)=69,(1,4)=69,(4,7)=73,(1,2)=74,(1,7)=74,(4,6)=78,(1,3)=82,(0,3)=90,(0,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(5)=5, Find(7)=3, Add (5,7)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(6)=6, Find(7)=3, Add (6,7)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(2)=2, Find(5)=3, Add (2,5)=9 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=35\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(5)=3, Add (1,5)=11 Succeeded, w=46\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=19 Failed, w=46\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(6)=3, Add (0,6)=25 Succeeded, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=26 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=40 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=40 Failed, w=71\",\"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)=51 Failed, w=71\",\"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)=59 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=64 Failed, w=71\",\"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)=65 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=68 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=69 Failed, w=71\",\"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)=69 Failed, w=71\",\"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)=73 Failed, w=71\",\"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)=74 Failed, w=71\",\"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)=74 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=78 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=82 Failed, w=71\",\"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)=90 Failed, w=71\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=95 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,100],[0,4,88],[0,6,18],[2,3,79],[2,5,38],[2,6,55],[3,4,30],[3,5,49],[4,6,59],[5,6,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,100],[0,4,88],[0,6,18],[2,3,79],[2,5,38],[2,6,55],[3,4,30],[3,5,49],[4,6,59],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,100],[0,4,88],[0,6,18],[2,3,79],[2,5,38],[2,6,55],[3,4,30],[3,5,49],[4,6,59],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (5,6)\",\"Add (3,5)\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,100],[0,4,88],[0,6,18],[2,3,79],[2,5,38],[2,6,55],[3,4,30],[3,5,49],[4,6,59],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=18, w=18\",\"Add (3,4)=30, w=48\",\"Add (2,5)=38, w=86\",\"Add (5,6)=40, w=126\",\"Add (3,5)=49, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,100],[0,4,88],[0,6,18],[2,3,79],[2,5,38],[2,6,55],[3,4,30],[3,5,49],[4,6,59],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=18 Succeeded, w=18\",\"Add (3,4)=30 Succeeded, w=48\",\"Add (2,5)=38 Succeeded, w=86\",\"Add (5,6)=40 Succeeded, w=126\",\"Add (3,5)=49 Succeeded, w=175\",\"Add (2,6)=55 Failed, w=175\",\"Add (4,6)=59 Failed, w=175\",\"Add (2,3)=79 Failed, w=175\",\"Add (0,4)=88 Failed, w=175\",\"Add (0,2)=100 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,100],[0,4,88],[0,6,18],[2,3,79],[2,5,38],[2,6,55],[3,4,30],[3,5,49],[4,6,59],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=18,(3,4)=30,(2,5)=38,(5,6)=40,(3,5)=49,(2,6)=55,(4,6)=59,(2,3)=79,(0,4)=88,(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=18\",\"Find(3)=3, Find(4)=4, Add (3,4)=30 Succeeded, w=48\",\"Find(2)=2, Find(5)=5, Add (2,5)=38 Succeeded, w=86\",\"Find(5)=2, Find(6)=0, Add (5,6)=40 Succeeded, w=126\",\"Find(3)=3, Find(5)=2, Add (3,5)=49 Succeeded, w=175\",\"Find(2)=2, Find(6)=2, Add (2,6)=55 Failed, w=175\",\"Find(4)=2, Find(6)=2, Add (4,6)=59 Failed, w=175\",\"Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=175\",\"Find(0)=2, Find(4)=2, Add (0,4)=88 Failed, w=175\",\"Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,100],[0,4,88],[0,6,18],[2,3,79],[2,5,38],[2,6,55],[3,4,30],[3,5,49],[4,6,59],[5,6,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=18,(3,4)=30,(2,5)=38,(5,6)=40,(3,5)=49,(2,6)=55,(4,6)=59,(2,3)=79,(0,4)=88,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 0}, Find(3)=3, Find(4)=4, Add (3,4)=30 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 0}, Find(2)=2, Find(5)=5, Add (2,5)=38 Succeeded, w=86\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 0}, Find(5)=2, Find(6)=0, Add (5,6)=40 Succeeded, w=126\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 0}, Find(3)=3, Find(5)=2, Add (3,5)=49 Succeeded, w=175\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=55 Failed, w=175\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=59 Failed, w=175\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=79 Failed, w=175\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=88 Failed, w=175\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,54],[0,2,55],[2,3,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,55],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,55],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,55],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=54, w=54\",\"Add (0,2)=55, w=109\",\"Add (2,3)=89, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,55],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=54 Succeeded, w=54\",\"Add (0,2)=55 Succeeded, w=109\",\"Add (2,3)=89 Succeeded, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,55],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=54,(0,2)=55,(2,3)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=54\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=109\",\"Find(2)=0, Find(3)=3, Add (2,3)=89 Succeeded, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,55],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=54,(0,2)=55,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=89 Succeeded, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,27],[0,2,28],[0,3,74],[0,4,90],[0,5,35],[0,6,89],[0,7,37],[1,2,71],[1,3,38],[1,4,79],[1,5,56],[1,6,78],[1,7,46],[2,3,80],[2,4,45],[2,5,1],[2,6,35],[2,7,30],[3,5,24],[3,6,50],[3,7,88],[4,5,39],[4,6,22],[4,7,20],[5,6,59],[5,7,21],[6,7,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,28],[0,3,74],[0,4,90],[0,5,35],[0,6,89],[0,7,37],[1,2,71],[1,3,38],[1,4,79],[1,5,56],[1,6,78],[1,7,46],[2,3,80],[2,4,45],[2,5,1],[2,6,35],[2,7,30],[3,5,24],[3,6,50],[3,7,88],[4,5,39],[4,6,22],[4,7,20],[5,6,59],[5,7,21],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,28],[0,3,74],[0,4,90],[0,5,35],[0,6,89],[0,7,37],[1,2,71],[1,3,38],[1,4,79],[1,5,56],[1,6,78],[1,7,46],[2,3,80],[2,4,45],[2,5,1],[2,6,35],[2,7,30],[3,5,24],[3,6,50],[3,7,88],[4,5,39],[4,6,22],[4,7,20],[5,6,59],[5,7,21],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,7)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,28],[0,3,74],[0,4,90],[0,5,35],[0,6,89],[0,7,37],[1,2,71],[1,3,38],[1,4,79],[1,5,56],[1,6,78],[1,7,46],[2,3,80],[2,4,45],[2,5,1],[2,6,35],[2,7,30],[3,5,24],[3,6,50],[3,7,88],[4,5,39],[4,6,22],[4,7,20],[5,6,59],[5,7,21],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (4,7)=20, w=21\",\"Add (5,7)=21, w=42\",\"Add (4,6)=22, w=64\",\"Add (3,5)=24, w=88\",\"Add (0,1)=27, w=115\",\"Add (0,2)=28, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,28],[0,3,74],[0,4,90],[0,5,35],[0,6,89],[0,7,37],[1,2,71],[1,3,38],[1,4,79],[1,5,56],[1,6,78],[1,7,46],[2,3,80],[2,4,45],[2,5,1],[2,6,35],[2,7,30],[3,5,24],[3,6,50],[3,7,88],[4,5,39],[4,6,22],[4,7,20],[5,6,59],[5,7,21],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (4,7)=20 Succeeded, w=21\",\"Add (5,7)=21 Succeeded, w=42\",\"Add (4,6)=22 Succeeded, w=64\",\"Add (3,5)=24 Succeeded, w=88\",\"Add (0,1)=27 Succeeded, w=115\",\"Add (0,2)=28 Succeeded, w=143\",\"Add (2,7)=30 Failed, w=143\",\"Add (0,5)=35 Failed, w=143\",\"Add (2,6)=35 Failed, w=143\",\"Add (0,7)=37 Failed, w=143\",\"Add (1,3)=38 Failed, w=143\",\"Add (4,5)=39 Failed, w=143\",\"Add (2,4)=45 Failed, w=143\",\"Add (1,7)=46 Failed, w=143\",\"Add (3,6)=50 Failed, w=143\",\"Add (1,5)=56 Failed, w=143\",\"Add (6,7)=57 Failed, w=143\",\"Add (5,6)=59 Failed, w=143\",\"Add (1,2)=71 Failed, w=143\",\"Add (0,3)=74 Failed, w=143\",\"Add (1,6)=78 Failed, w=143\",\"Add (1,4)=79 Failed, w=143\",\"Add (2,3)=80 Failed, w=143\",\"Add (3,7)=88 Failed, w=143\",\"Add (0,6)=89 Failed, w=143\",\"Add (0,4)=90 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,28],[0,3,74],[0,4,90],[0,5,35],[0,6,89],[0,7,37],[1,2,71],[1,3,38],[1,4,79],[1,5,56],[1,6,78],[1,7,46],[2,3,80],[2,4,45],[2,5,1],[2,6,35],[2,7,30],[3,5,24],[3,6,50],[3,7,88],[4,5,39],[4,6,22],[4,7,20],[5,6,59],[5,7,21],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,7)=20,(5,7)=21,(4,6)=22,(3,5)=24,(0,1)=27,(0,2)=28,(2,7)=30,(0,5)=35,(2,6)=35,(0,7)=37,(1,3)=38,(4,5)=39,(2,4)=45,(1,7)=46,(3,6)=50,(1,5)=56,(6,7)=57,(5,6)=59,(1,2)=71,(0,3)=74,(1,6)=78,(1,4)=79,(2,3)=80,(3,7)=88,(0,6)=89,(0,4)=90]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(7)=7, Add (4,7)=20 Succeeded, w=21\",\"Find(5)=2, Find(7)=4, Add (5,7)=21 Succeeded, w=42\",\"Find(4)=2, Find(6)=6, Add (4,6)=22 Succeeded, w=64\",\"Find(3)=3, Find(5)=2, Add (3,5)=24 Succeeded, w=88\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=115\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=143\",\"Find(2)=2, Find(7)=2, Add (2,7)=30 Failed, w=143\",\"Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=143\",\"Find(2)=2, Find(6)=2, Add (2,6)=35 Failed, w=143\",\"Find(0)=2, Find(7)=2, Add (0,7)=37 Failed, w=143\",\"Find(1)=2, Find(3)=2, Add (1,3)=38 Failed, w=143\",\"Find(4)=2, Find(5)=2, Add (4,5)=39 Failed, w=143\",\"Find(2)=2, Find(4)=2, Add (2,4)=45 Failed, w=143\",\"Find(1)=2, Find(7)=2, Add (1,7)=46 Failed, w=143\",\"Find(3)=2, Find(6)=2, Add (3,6)=50 Failed, w=143\",\"Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=143\",\"Find(6)=2, Find(7)=2, Add (6,7)=57 Failed, w=143\",\"Find(5)=2, Find(6)=2, Add (5,6)=59 Failed, w=143\",\"Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=143\",\"Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=143\",\"Find(1)=2, Find(6)=2, Add (1,6)=78 Failed, w=143\",\"Find(1)=2, Find(4)=2, Add (1,4)=79 Failed, w=143\",\"Find(2)=2, Find(3)=2, Add (2,3)=80 Failed, w=143\",\"Find(3)=2, Find(7)=2, Add (3,7)=88 Failed, w=143\",\"Find(0)=2, Find(6)=2, Add (0,6)=89 Failed, w=143\",\"Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,27],[0,2,28],[0,3,74],[0,4,90],[0,5,35],[0,6,89],[0,7,37],[1,2,71],[1,3,38],[1,4,79],[1,5,56],[1,6,78],[1,7,46],[2,3,80],[2,4,45],[2,5,1],[2,6,35],[2,7,30],[3,5,24],[3,6,50],[3,7,88],[4,5,39],[4,6,22],[4,7,20],[5,6,59],[5,7,21],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,7)=20,(5,7)=21,(4,6)=22,(3,5)=24,(0,1)=27,(0,2)=28,(2,7)=30,(0,5)=35,(2,6)=35,(0,7)=37,(1,3)=38,(4,5)=39,(2,4)=45,(1,7)=46,(3,6)=50,(1,5)=56,(6,7)=57,(5,6)=59,(1,2)=71,(0,3)=74,(1,6)=78,(1,4)=79,(2,3)=80,(3,7)=88,(0,6)=89,(0,4)=90]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=20 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 4}, Find(5)=2, Find(7)=4, Add (5,7)=21 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 4}, Find(4)=2, Find(6)=6, Add (4,6)=22 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(3)=3, Find(5)=2, Add (3,5)=24 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=115\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=143\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=30 Failed, w=143\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=143\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=35 Failed, w=143\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=37 Failed, w=143\",\"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)=38 Failed, w=143\",\"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)=39 Failed, w=143\",\"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)=45 Failed, w=143\",\"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)=46 Failed, w=143\",\"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)=50 Failed, w=143\",\"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)=56 Failed, w=143\",\"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)=57 Failed, w=143\",\"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)=59 Failed, w=143\",\"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)=71 Failed, w=143\",\"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)=74 Failed, w=143\",\"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)=78 Failed, w=143\",\"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)=79 Failed, w=143\",\"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)=80 Failed, w=143\",\"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)=88 Failed, w=143\",\"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)=89 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,68],[0,2,71],[0,3,17],[0,4,64],[0,6,32],[0,7,9],[1,2,46],[1,3,73],[1,6,58],[1,7,89],[2,3,21],[2,4,62],[2,5,85],[2,6,68],[2,7,70],[3,4,56],[3,6,18],[3,7,59],[4,5,24],[4,6,67],[5,6,92],[5,7,91],[6,7,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,71],[0,3,17],[0,4,64],[0,6,32],[0,7,9],[1,2,46],[1,3,73],[1,6,58],[1,7,89],[2,3,21],[2,4,62],[2,5,85],[2,6,68],[2,7,70],[3,4,56],[3,6,18],[3,7,59],[4,5,24],[4,6,67],[5,6,92],[5,7,91],[6,7,55]]}",
"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\":[[0,1,68],[0,2,71],[0,3,17],[0,4,64],[0,6,32],[0,7,9],[1,2,46],[1,3,73],[1,6,58],[1,7,89],[2,3,21],[2,4,62],[2,5,85],[2,6,68],[2,7,70],[3,4,56],[3,6,18],[3,7,59],[4,5,24],[4,6,67],[5,6,92],[5,7,91],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (3,4)\"],\"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\":[[0,1,68],[0,2,71],[0,3,17],[0,4,64],[0,6,32],[0,7,9],[1,2,46],[1,3,73],[1,6,58],[1,7,89],[2,3,21],[2,4,62],[2,5,85],[2,6,68],[2,7,70],[3,4,56],[3,6,18],[3,7,59],[4,5,24],[4,6,67],[5,6,92],[5,7,91],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=9, w=9\",\"Add (0,3)=17, w=26\",\"Add (3,6)=18, w=44\",\"Add (2,3)=21, w=65\",\"Add (4,5)=24, w=89\",\"Add (1,2)=46, w=135\",\"Add (3,4)=56, 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\":[[0,1,68],[0,2,71],[0,3,17],[0,4,64],[0,6,32],[0,7,9],[1,2,46],[1,3,73],[1,6,58],[1,7,89],[2,3,21],[2,4,62],[2,5,85],[2,6,68],[2,7,70],[3,4,56],[3,6,18],[3,7,59],[4,5,24],[4,6,67],[5,6,92],[5,7,91],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=9 Succeeded, w=9\",\"Add (0,3)=17 Succeeded, w=26\",\"Add (3,6)=18 Succeeded, w=44\",\"Add (2,3)=21 Succeeded, w=65\",\"Add (4,5)=24 Succeeded, w=89\",\"Add (0,6)=32 Failed, w=89\",\"Add (1,2)=46 Succeeded, w=135\",\"Add (6,7)=55 Failed, w=135\",\"Add (3,4)=56 Succeeded, w=191\",\"Add (1,6)=58 Failed, w=191\",\"Add (3,7)=59 Failed, w=191\",\"Add (2,4)=62 Failed, w=191\",\"Add (0,4)=64 Failed, w=191\",\"Add (4,6)=67 Failed, w=191\",\"Add (0,1)=68 Failed, w=191\",\"Add (2,6)=68 Failed, w=191\",\"Add (2,7)=70 Failed, w=191\",\"Add (0,2)=71 Failed, w=191\",\"Add (1,3)=73 Failed, w=191\",\"Add (2,5)=85 Failed, w=191\",\"Add (1,7)=89 Failed, w=191\",\"Add (5,7)=91 Failed, w=191\",\"Add (5,6)=92 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\":[[0,1,68],[0,2,71],[0,3,17],[0,4,64],[0,6,32],[0,7,9],[1,2,46],[1,3,73],[1,6,58],[1,7,89],[2,3,21],[2,4,62],[2,5,85],[2,6,68],[2,7,70],[3,4,56],[3,6,18],[3,7,59],[4,5,24],[4,6,67],[5,6,92],[5,7,91],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=9,(0,3)=17,(3,6)=18,(2,3)=21,(4,5)=24,(0,6)=32,(1,2)=46,(6,7)=55,(3,4)=56,(1,6)=58,(3,7)=59,(2,4)=62,(0,4)=64,(4,6)=67,(0,1)=68,(2,6)=68,(2,7)=70,(0,2)=71,(1,3)=73,(2,5)=85,(1,7)=89,(5,7)=91,(5,6)=92]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=26\",\"Find(3)=0, Find(6)=6, Add (3,6)=18 Succeeded, w=44\",\"Find(2)=2, Find(3)=0, Add (2,3)=21 Succeeded, w=65\",\"Find(4)=4, Find(5)=5, Add (4,5)=24 Succeeded, w=89\",\"Find(0)=0, Find(6)=0, Add (0,6)=32 Failed, w=89\",\"Find(1)=1, Find(2)=0, Add (1,2)=46 Succeeded, w=135\",\"Find(6)=0, Find(7)=0, Add (6,7)=55 Failed, w=135\",\"Find(3)=0, Find(4)=4, Add (3,4)=56 Succeeded, w=191\",\"Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=191\",\"Find(3)=0, Find(7)=0, Add (3,7)=59 Failed, w=191\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=191\",\"Find(0)=0, Find(4)=0, Add (0,4)=64 Failed, w=191\",\"Find(4)=0, Find(6)=0, Add (4,6)=67 Failed, w=191\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=191\",\"Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=191\",\"Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=191\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=191\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=191\",\"Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=191\",\"Find(1)=0, Find(7)=0, Add (1,7)=89 Failed, w=191\",\"Find(5)=0, Find(7)=0, Add (5,7)=91 Failed, w=191\",\"Find(5)=0, Find(6)=0, Add (5,6)=92 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\":[[0,1,68],[0,2,71],[0,3,17],[0,4,64],[0,6,32],[0,7,9],[1,2,46],[1,3,73],[1,6,58],[1,7,89],[2,3,21],[2,4,62],[2,5,85],[2,6,68],[2,7,70],[3,4,56],[3,6,18],[3,7,59],[4,5,24],[4,6,67],[5,6,92],[5,7,91],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=9,(0,3)=17,(3,6)=18,(2,3)=21,(4,5)=24,(0,6)=32,(1,2)=46,(6,7)=55,(3,4)=56,(1,6)=58,(3,7)=59,(2,4)=62,(0,4)=64,(4,6)=67,(0,1)=68,(2,6)=68,(2,7)=70,(0,2)=71,(1,3)=73,(2,5)=85,(1,7)=89,(5,7)=91,(5,6)=92]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(6)=6, Add (3,6)=18 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(3)=0, Add (2,3)=21 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0, 7: 0}, Find(4)=4, Find(5)=5, Add (4,5)=24 Succeeded, w=89\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=32 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=46 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=55 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(3)=0, Find(4)=4, Add (3,4)=56 Succeeded, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=59 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=64 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=67 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=191\",\"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=191\",\"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)=89 Failed, w=191\",\"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)=91 Failed, w=191\",\"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)=92 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,57],[0,4,44],[0,5,37],[1,2,70],[1,5,56],[1,6,82],[2,3,12],[2,5,2],[2,6,88],[4,5,57],[4,6,88],[5,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,4,44],[0,5,37],[1,2,70],[1,5,56],[1,6,82],[2,3,12],[2,5,2],[2,6,88],[4,5,57],[4,6,88],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,4,44],[0,5,37],[1,2,70],[1,5,56],[1,6,82],[2,3,12],[2,5,2],[2,6,88],[4,5,57],[4,6,88],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (1,6)\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,4,44],[0,5,37],[1,2,70],[1,5,56],[1,6,82],[2,3,12],[2,5,2],[2,6,88],[4,5,57],[4,6,88],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (2,3)=12, w=14\",\"Add (0,5)=37, w=51\",\"Add (0,4)=44, w=95\",\"Add (1,5)=56, w=151\",\"Add (1,6)=82, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,4,44],[0,5,37],[1,2,70],[1,5,56],[1,6,82],[2,3,12],[2,5,2],[2,6,88],[4,5,57],[4,6,88],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (2,3)=12 Succeeded, w=14\",\"Add (0,5)=37 Succeeded, w=51\",\"Add (0,4)=44 Succeeded, w=95\",\"Add (1,5)=56 Succeeded, w=151\",\"Add (0,1)=57 Failed, w=151\",\"Add (4,5)=57 Failed, w=151\",\"Add (1,2)=70 Failed, w=151\",\"Add (1,6)=82 Succeeded, w=233\",\"Add (5,6)=83 Failed, w=233\",\"Add (2,6)=88 Failed, w=233\",\"Add (4,6)=88 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,4,44],[0,5,37],[1,2,70],[1,5,56],[1,6,82],[2,3,12],[2,5,2],[2,6,88],[4,5,57],[4,6,88],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(2,3)=12,(0,5)=37,(0,4)=44,(1,5)=56,(0,1)=57,(4,5)=57,(1,2)=70,(1,6)=82,(5,6)=83,(2,6)=88,(4,6)=88]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=14\",\"Find(0)=0, Find(5)=2, Add (0,5)=37 Succeeded, w=51\",\"Find(0)=2, Find(4)=4, Add (0,4)=44 Succeeded, w=95\",\"Find(1)=1, Find(5)=2, Add (1,5)=56 Succeeded, w=151\",\"Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=151\",\"Find(4)=2, Find(5)=2, Add (4,5)=57 Failed, w=151\",\"Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=151\",\"Find(1)=2, Find(6)=6, Add (1,6)=82 Succeeded, w=233\",\"Find(5)=2, Find(6)=2, Add (5,6)=83 Failed, w=233\",\"Find(2)=2, Find(6)=2, Add (2,6)=88 Failed, w=233\",\"Find(4)=2, Find(6)=2, Add (4,6)=88 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,4,44],[0,5,37],[1,2,70],[1,5,56],[1,6,82],[2,3,12],[2,5,2],[2,6,88],[4,5,57],[4,6,88],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(2,3)=12,(0,5)=37,(0,4)=44,(1,5)=56,(0,1)=57,(4,5)=57,(1,2)=70,(1,6)=82,(5,6)=83,(2,6)=88,(4,6)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(5)=2, Add (0,5)=37 Succeeded, w=51\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(4)=4, Add (0,4)=44 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=56 Succeeded, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(1)=2, Add (0,1)=57 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(4)=2, Find(5)=2, Add (4,5)=57 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=151\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=6, Add (1,6)=82 Succeeded, w=233\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=83 Failed, w=233\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=88 Failed, w=233\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=88 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,96],[0,2,19],[0,3,23],[0,5,25],[1,2,5],[1,4,90],[1,5,78],[2,3,47],[2,4,4],[2,5,76],[3,4,23],[3,5,37],[4,5,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,19],[0,3,23],[0,5,25],[1,2,5],[1,4,90],[1,5,78],[2,3,47],[2,4,4],[2,5,76],[3,4,23],[3,5,37],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,19],[0,3,23],[0,5,25],[1,2,5],[1,4,90],[1,5,78],[2,3,47],[2,4,4],[2,5,76],[3,4,23],[3,5,37],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,19],[0,3,23],[0,5,25],[1,2,5],[1,4,90],[1,5,78],[2,3,47],[2,4,4],[2,5,76],[3,4,23],[3,5,37],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (1,2)=5, w=9\",\"Add (0,2)=19, w=28\",\"Add (0,3)=23, w=51\",\"Add (0,5)=25, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,19],[0,3,23],[0,5,25],[1,2,5],[1,4,90],[1,5,78],[2,3,47],[2,4,4],[2,5,76],[3,4,23],[3,5,37],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (1,2)=5 Succeeded, w=9\",\"Add (0,2)=19 Succeeded, w=28\",\"Add (0,3)=23 Succeeded, w=51\",\"Add (3,4)=23 Failed, w=51\",\"Add (0,5)=25 Succeeded, w=76\",\"Add (3,5)=37 Failed, w=76\",\"Add (2,3)=47 Failed, w=76\",\"Add (2,5)=76 Failed, w=76\",\"Add (1,5)=78 Failed, w=76\",\"Add (1,4)=90 Failed, w=76\",\"Add (0,1)=96 Failed, w=76\",\"Add (4,5)=100 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,19],[0,3,23],[0,5,25],[1,2,5],[1,4,90],[1,5,78],[2,3,47],[2,4,4],[2,5,76],[3,4,23],[3,5,37],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(1,2)=5,(0,2)=19,(0,3)=23,(3,4)=23,(0,5)=25,(3,5)=37,(2,3)=47,(2,5)=76,(1,5)=78,(1,4)=90,(0,1)=96,(4,5)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=28\",\"Find(0)=2, Find(3)=3, Add (0,3)=23 Succeeded, w=51\",\"Find(3)=2, Find(4)=2, Add (3,4)=23 Failed, w=51\",\"Find(0)=2, Find(5)=5, Add (0,5)=25 Succeeded, w=76\",\"Find(3)=2, Find(5)=2, Add (3,5)=37 Failed, w=76\",\"Find(2)=2, Find(3)=2, Add (2,3)=47 Failed, w=76\",\"Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=76\",\"Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=76\",\"Find(1)=2, Find(4)=2, Add (1,4)=90 Failed, w=76\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=76\",\"Find(4)=2, Find(5)=2, Add (4,5)=100 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,19],[0,3,23],[0,5,25],[1,2,5],[1,4,90],[1,5,78],[2,3,47],[2,4,4],[2,5,76],[3,4,23],[3,5,37],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(1,2)=5,(0,2)=19,(0,3)=23,(3,4)=23,(0,5)=25,(3,5)=37,(2,3)=47,(2,5)=76,(1,5)=78,(1,4)=90,(0,1)=96,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, 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}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=2, Find(3)=3, Add (0,3)=23 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=2, Find(4)=2, Add (3,4)=23 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=5, Add (0,5)=25 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=37 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=47 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=78 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=90 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=100 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,47],[0,2,33],[0,3,71],[0,4,95],[0,5,56],[0,6,100],[1,2,62],[1,3,99],[1,4,52],[1,5,9],[1,6,88],[2,3,17],[2,5,49],[2,6,54],[3,4,62],[3,5,35],[3,6,35],[4,5,15],[4,6,98],[5,6,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,33],[0,3,71],[0,4,95],[0,5,56],[0,6,100],[1,2,62],[1,3,99],[1,4,52],[1,5,9],[1,6,88],[2,3,17],[2,5,49],[2,6,54],[3,4,62],[3,5,35],[3,6,35],[4,5,15],[4,6,98],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,33],[0,3,71],[0,4,95],[0,5,56],[0,6,100],[1,2,62],[1,3,99],[1,4,52],[1,5,9],[1,6,88],[2,3,17],[2,5,49],[2,6,54],[3,4,62],[3,5,35],[3,6,35],[4,5,15],[4,6,98],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (5,6)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,33],[0,3,71],[0,4,95],[0,5,56],[0,6,100],[1,2,62],[1,3,99],[1,4,52],[1,5,9],[1,6,88],[2,3,17],[2,5,49],[2,6,54],[3,4,62],[3,5,35],[3,6,35],[4,5,15],[4,6,98],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9, w=9\",\"Add (5,6)=11, w=20\",\"Add (4,5)=15, w=35\",\"Add (2,3)=17, w=52\",\"Add (0,2)=33, w=85\",\"Add (3,5)=35, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,33],[0,3,71],[0,4,95],[0,5,56],[0,6,100],[1,2,62],[1,3,99],[1,4,52],[1,5,9],[1,6,88],[2,3,17],[2,5,49],[2,6,54],[3,4,62],[3,5,35],[3,6,35],[4,5,15],[4,6,98],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=9 Succeeded, w=9\",\"Add (5,6)=11 Succeeded, w=20\",\"Add (4,5)=15 Succeeded, w=35\",\"Add (2,3)=17 Succeeded, w=52\",\"Add (0,2)=33 Succeeded, w=85\",\"Add (3,5)=35 Succeeded, w=120\",\"Add (3,6)=35 Failed, w=120\",\"Add (0,1)=47 Failed, w=120\",\"Add (2,5)=49 Failed, w=120\",\"Add (1,4)=52 Failed, w=120\",\"Add (2,6)=54 Failed, w=120\",\"Add (0,5)=56 Failed, w=120\",\"Add (1,2)=62 Failed, w=120\",\"Add (3,4)=62 Failed, w=120\",\"Add (0,3)=71 Failed, w=120\",\"Add (1,6)=88 Failed, w=120\",\"Add (0,4)=95 Failed, w=120\",\"Add (4,6)=98 Failed, w=120\",\"Add (1,3)=99 Failed, w=120\",\"Add (0,6)=100 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,33],[0,3,71],[0,4,95],[0,5,56],[0,6,100],[1,2,62],[1,3,99],[1,4,52],[1,5,9],[1,6,88],[2,3,17],[2,5,49],[2,6,54],[3,4,62],[3,5,35],[3,6,35],[4,5,15],[4,6,98],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(5,6)=11,(4,5)=15,(2,3)=17,(0,2)=33,(3,5)=35,(3,6)=35,(0,1)=47,(2,5)=49,(1,4)=52,(2,6)=54,(0,5)=56,(1,2)=62,(3,4)=62,(0,3)=71,(1,6)=88,(0,4)=95,(4,6)=98,(1,3)=99,(0,6)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=9\",\"Find(5)=1, Find(6)=6, Add (5,6)=11 Succeeded, w=20\",\"Find(4)=4, Find(5)=1, Add (4,5)=15 Succeeded, w=35\",\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=52\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=85\",\"Find(3)=2, Find(5)=1, Add (3,5)=35 Succeeded, w=120\",\"Find(3)=2, Find(6)=2, Add (3,6)=35 Failed, w=120\",\"Find(0)=2, Find(1)=2, Add (0,1)=47 Failed, w=120\",\"Find(2)=2, Find(5)=2, Add (2,5)=49 Failed, w=120\",\"Find(1)=2, Find(4)=2, Add (1,4)=52 Failed, w=120\",\"Find(2)=2, Find(6)=2, Add (2,6)=54 Failed, w=120\",\"Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=120\",\"Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=120\",\"Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=120\",\"Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=120\",\"Find(1)=2, Find(6)=2, Add (1,6)=88 Failed, w=120\",\"Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=120\",\"Find(4)=2, Find(6)=2, Add (4,6)=98 Failed, w=120\",\"Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=120\",\"Find(0)=2, Find(6)=2, Add (0,6)=100 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,47],[0,2,33],[0,3,71],[0,4,95],[0,5,56],[0,6,100],[1,2,62],[1,3,99],[1,4,52],[1,5,9],[1,6,88],[2,3,17],[2,5,49],[2,6,54],[3,4,62],[3,5,35],[3,6,35],[4,5,15],[4,6,98],[5,6,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=9,(5,6)=11,(4,5)=15,(2,3)=17,(0,2)=33,(3,5)=35,(3,6)=35,(0,1)=47,(2,5)=49,(1,4)=52,(2,6)=54,(0,5)=56,(1,2)=62,(3,4)=62,(0,3)=71,(1,6)=88,(0,4)=95,(4,6)=98,(1,3)=99,(0,6)=100]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1}, Find(4)=4, Find(5)=1, Add (4,5)=15 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=52\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 1}, Find(3)=2, Find(5)=1, Add (3,5)=35 Succeeded, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=35 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=47 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=49 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=52 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=54 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=88 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=95 Failed, w=120\",\"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=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=100 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,99],[0,2,89],[0,3,58],[0,5,29],[0,7,77],[1,5,0],[1,7,88],[2,5,84],[2,6,82],[2,7,0],[3,4,51],[3,5,75],[3,6,72],[3,7,36],[4,6,93],[5,6,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,89],[0,3,58],[0,5,29],[0,7,77],[1,5,0],[1,7,88],[2,5,84],[2,6,82],[2,7,0],[3,4,51],[3,5,75],[3,6,72],[3,7,36],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,89],[0,3,58],[0,5,29],[0,7,77],[1,5,0],[1,7,88],[2,5,84],[2,6,82],[2,7,0],[3,4,51],[3,5,75],[3,6,72],[3,7,36],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,7)\",\"Add (0,5)\",\"Add (3,7)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,89],[0,3,58],[0,5,29],[0,7,77],[1,5,0],[1,7,88],[2,5,84],[2,6,82],[2,7,0],[3,4,51],[3,5,75],[3,6,72],[3,7,36],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (2,7)=0, w=0\",\"Add (0,5)=29, w=29\",\"Add (3,7)=36, w=65\",\"Add (5,6)=36, w=101\",\"Add (3,4)=51, w=152\",\"Add (0,3)=58, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,89],[0,3,58],[0,5,29],[0,7,77],[1,5,0],[1,7,88],[2,5,84],[2,6,82],[2,7,0],[3,4,51],[3,5,75],[3,6,72],[3,7,36],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (2,7)=0 Succeeded, w=0\",\"Add (0,5)=29 Succeeded, w=29\",\"Add (3,7)=36 Succeeded, w=65\",\"Add (5,6)=36 Succeeded, w=101\",\"Add (3,4)=51 Succeeded, w=152\",\"Add (0,3)=58 Succeeded, w=210\",\"Add (3,6)=72 Failed, w=210\",\"Add (3,5)=75 Failed, w=210\",\"Add (0,7)=77 Failed, w=210\",\"Add (2,6)=82 Failed, w=210\",\"Add (2,5)=84 Failed, w=210\",\"Add (1,7)=88 Failed, w=210\",\"Add (0,2)=89 Failed, w=210\",\"Add (4,6)=93 Failed, w=210\",\"Add (0,1)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,89],[0,3,58],[0,5,29],[0,7,77],[1,5,0],[1,7,88],[2,5,84],[2,6,82],[2,7,0],[3,4,51],[3,5,75],[3,6,72],[3,7,36],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(2,7)=0,(0,5)=29,(3,7)=36,(5,6)=36,(3,4)=51,(0,3)=58,(3,6)=72,(3,5)=75,(0,7)=77,(2,6)=82,(2,5)=84,(1,7)=88,(0,2)=89,(4,6)=93,(0,1)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=1, Add (0,5)=29 Succeeded, w=29\",\"Find(3)=3, Find(7)=2, Add (3,7)=36 Succeeded, w=65\",\"Find(5)=1, Find(6)=6, Add (5,6)=36 Succeeded, w=101\",\"Find(3)=2, Find(4)=4, Add (3,4)=51 Succeeded, w=152\",\"Find(0)=1, Find(3)=2, Add (0,3)=58 Succeeded, w=210\",\"Find(3)=1, Find(6)=1, Add (3,6)=72 Failed, w=210\",\"Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=210\",\"Find(0)=1, Find(7)=1, Add (0,7)=77 Failed, w=210\",\"Find(2)=1, Find(6)=1, Add (2,6)=82 Failed, w=210\",\"Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=210\",\"Find(1)=1, Find(7)=1, Add (1,7)=88 Failed, w=210\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=210\",\"Find(4)=1, Find(6)=1, Add (4,6)=93 Failed, w=210\",\"Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,89],[0,3,58],[0,5,29],[0,7,77],[1,5,0],[1,7,88],[2,5,84],[2,6,82],[2,7,0],[3,4,51],[3,5,75],[3,6,72],[3,7,36],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(2,7)=0,(0,5)=29,(3,7)=36,(5,6)=36,(3,4)=51,(0,3)=58,(3,6)=72,(3,5)=75,(0,7)=77,(2,6)=82,(2,5)=84,(1,7)=88,(0,2)=89,(4,6)=93,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 2}, Find(0)=0, Find(5)=1, Add (0,5)=29 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6, 7: 2}, Find(3)=3, Find(7)=2, Add (3,7)=36 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 1, 7: 2}, Find(5)=1, Find(6)=6, Add (5,6)=36 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 1, 7: 2}, Find(3)=2, Find(4)=4, Add (3,4)=51 Succeeded, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(3)=2, Add (0,3)=58 Succeeded, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(6)=1, Add (3,6)=72 Failed, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=77 Failed, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=82 Failed, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=88 Failed, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=210\",\"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)=93 Failed, w=210\",\"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)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,45],[0,2,29],[0,3,17],[0,4,13],[0,5,78],[1,2,25],[1,3,91],[1,4,86],[1,5,25],[2,3,39],[2,4,81],[2,5,74],[3,4,66],[3,5,61],[4,5,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,29],[0,3,17],[0,4,13],[0,5,78],[1,2,25],[1,3,91],[1,4,86],[1,5,25],[2,3,39],[2,4,81],[2,5,74],[3,4,66],[3,5,61],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,29],[0,3,17],[0,4,13],[0,5,78],[1,2,25],[1,3,91],[1,4,86],[1,5,25],[2,3,39],[2,4,81],[2,5,74],[3,4,66],[3,5,61],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (0,2)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,29],[0,3,17],[0,4,13],[0,5,78],[1,2,25],[1,3,91],[1,4,86],[1,5,25],[2,3,39],[2,4,81],[2,5,74],[3,4,66],[3,5,61],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=13, w=13\",\"Add (0,3)=17, w=30\",\"Add (1,2)=25, w=55\",\"Add (1,5)=25, w=80\",\"Add (0,2)=29, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,29],[0,3,17],[0,4,13],[0,5,78],[1,2,25],[1,3,91],[1,4,86],[1,5,25],[2,3,39],[2,4,81],[2,5,74],[3,4,66],[3,5,61],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=13 Succeeded, w=13\",\"Add (0,3)=17 Succeeded, w=30\",\"Add (1,2)=25 Succeeded, w=55\",\"Add (1,5)=25 Succeeded, w=80\",\"Add (0,2)=29 Succeeded, w=109\",\"Add (2,3)=39 Failed, w=109\",\"Add (0,1)=45 Failed, w=109\",\"Add (3,5)=61 Failed, w=109\",\"Add (3,4)=66 Failed, w=109\",\"Add (2,5)=74 Failed, w=109\",\"Add (0,5)=78 Failed, w=109\",\"Add (4,5)=79 Failed, w=109\",\"Add (2,4)=81 Failed, w=109\",\"Add (1,4)=86 Failed, w=109\",\"Add (1,3)=91 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,29],[0,3,17],[0,4,13],[0,5,78],[1,2,25],[1,3,91],[1,4,86],[1,5,25],[2,3,39],[2,4,81],[2,5,74],[3,4,66],[3,5,61],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=13,(0,3)=17,(1,2)=25,(1,5)=25,(0,2)=29,(2,3)=39,(0,1)=45,(3,5)=61,(3,4)=66,(2,5)=74,(0,5)=78,(4,5)=79,(2,4)=81,(1,4)=86,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=30\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=55\",\"Find(1)=1, Find(5)=5, Add (1,5)=25 Succeeded, w=80\",\"Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=109\",\"Find(2)=0, Find(3)=0, Add (2,3)=39 Failed, w=109\",\"Find(0)=0, Find(1)=0, Add (0,1)=45 Failed, w=109\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=109\",\"Find(3)=0, Find(4)=0, Add (3,4)=66 Failed, w=109\",\"Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=109\",\"Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=109\",\"Find(4)=0, Find(5)=0, Add (4,5)=79 Failed, w=109\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=109\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=109\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,29],[0,3,17],[0,4,13],[0,5,78],[1,2,25],[1,3,91],[1,4,86],[1,5,25],[2,3,39],[2,4,81],[2,5,74],[3,4,66],[3,5,61],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=13,(0,3)=17,(1,2)=25,(1,5)=25,(0,2)=29,(2,3)=39,(0,1)=45,(3,5)=61,(3,4)=66,(2,5)=74,(0,5)=78,(4,5)=79,(2,4)=81,(1,4)=86,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=25 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=39 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=45 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=66 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=79 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,65],[0,2,90],[0,5,24],[1,5,50],[2,3,10],[2,5,2],[3,4,70],[3,5,61],[4,5,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,90],[0,5,24],[1,5,50],[2,3,10],[2,5,2],[3,4,70],[3,5,61],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,90],[0,5,24],[1,5,50],[2,3,10],[2,5,2],[3,4,70],[3,5,61],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (4,5)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,90],[0,5,24],[1,5,50],[2,3,10],[2,5,2],[3,4,70],[3,5,61],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (2,3)=10, w=12\",\"Add (0,5)=24, w=36\",\"Add (1,5)=50, w=86\",\"Add (4,5)=64, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,90],[0,5,24],[1,5,50],[2,3,10],[2,5,2],[3,4,70],[3,5,61],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (2,3)=10 Succeeded, w=12\",\"Add (0,5)=24 Succeeded, w=36\",\"Add (1,5)=50 Succeeded, w=86\",\"Add (3,5)=61 Failed, w=86\",\"Add (4,5)=64 Succeeded, w=150\",\"Add (0,1)=65 Failed, w=150\",\"Add (3,4)=70 Failed, w=150\",\"Add (0,2)=90 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,90],[0,5,24],[1,5,50],[2,3,10],[2,5,2],[3,4,70],[3,5,61],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(2,3)=10,(0,5)=24,(1,5)=50,(3,5)=61,(4,5)=64,(0,1)=65,(3,4)=70,(0,2)=90]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=12\",\"Find(0)=0, Find(5)=2, Add (0,5)=24 Succeeded, w=36\",\"Find(1)=1, Find(5)=2, Add (1,5)=50 Succeeded, w=86\",\"Find(3)=2, Find(5)=2, Add (3,5)=61 Failed, w=86\",\"Find(4)=4, Find(5)=2, Add (4,5)=64 Succeeded, w=150\",\"Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=150\",\"Find(3)=2, Find(4)=2, Add (3,4)=70 Failed, w=150\",\"Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,90],[0,5,24],[1,5,50],[2,3,10],[2,5,2],[3,4,70],[3,5,61],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(2,3)=10,(0,5)=24,(1,5)=50,(3,5)=61,(4,5)=64,(0,1)=65,(3,4)=70,(0,2)=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: 2, 4: 4, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=24 Succeeded, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=50 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=61 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=64 Succeeded, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=70 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,62],[0,2,27],[0,3,31],[0,4,84],[1,2,92],[1,4,38],[2,3,98],[3,4,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,27],[0,3,31],[0,4,84],[1,2,92],[1,4,38],[2,3,98],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,27],[0,3,31],[0,4,84],[1,2,92],[1,4,38],[2,3,98],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,27],[0,3,31],[0,4,84],[1,2,92],[1,4,38],[2,3,98],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=24, w=24\",\"Add (0,2)=27, w=51\",\"Add (0,3)=31, w=82\",\"Add (1,4)=38, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,27],[0,3,31],[0,4,84],[1,2,92],[1,4,38],[2,3,98],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=24 Succeeded, w=24\",\"Add (0,2)=27 Succeeded, w=51\",\"Add (0,3)=31 Succeeded, w=82\",\"Add (1,4)=38 Succeeded, w=120\",\"Add (0,1)=62 Failed, w=120\",\"Add (0,4)=84 Failed, w=120\",\"Add (1,2)=92 Failed, w=120\",\"Add (2,3)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,27],[0,3,31],[0,4,84],[1,2,92],[1,4,38],[2,3,98],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=24,(0,2)=27,(0,3)=31,(1,4)=38,(0,1)=62,(0,4)=84,(1,2)=92,(2,3)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=82\",\"Find(1)=1, Find(4)=0, Add (1,4)=38 Succeeded, w=120\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=120\",\"Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=120\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=120\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,27],[0,3,31],[0,4,84],[1,2,92],[1,4,38],[2,3,98],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=24,(0,2)=27,(0,3)=31,(1,4)=38,(0,1)=62,(0,4)=84,(1,2)=92,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=38 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,20],[0,2,75],[0,3,100],[0,4,94],[0,5,44],[1,2,49],[1,3,26],[1,4,70],[1,5,70],[2,3,45],[2,4,21],[2,5,11],[3,4,61],[3,5,57],[4,5,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,75],[0,3,100],[0,4,94],[0,5,44],[1,2,49],[1,3,26],[1,4,70],[1,5,70],[2,3,45],[2,4,21],[2,5,11],[3,4,61],[3,5,57],[4,5,38]]}",
"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],\"edges\":[[0,1,20],[0,2,75],[0,3,100],[0,4,94],[0,5,44],[1,2,49],[1,3,26],[1,4,70],[1,5,70],[2,3,45],[2,4,21],[2,5,11],[3,4,61],[3,5,57],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,5)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,75],[0,3,100],[0,4,94],[0,5,44],[1,2,49],[1,3,26],[1,4,70],[1,5,70],[2,3,45],[2,4,21],[2,5,11],[3,4,61],[3,5,57],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (0,1)=20, w=31\",\"Add (2,4)=21, w=52\",\"Add (1,3)=26, w=78\",\"Add (0,5)=44, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,75],[0,3,100],[0,4,94],[0,5,44],[1,2,49],[1,3,26],[1,4,70],[1,5,70],[2,3,45],[2,4,21],[2,5,11],[3,4,61],[3,5,57],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (0,1)=20 Succeeded, w=31\",\"Add (2,4)=21 Succeeded, w=52\",\"Add (1,3)=26 Succeeded, w=78\",\"Add (4,5)=38 Failed, w=78\",\"Add (0,5)=44 Succeeded, w=122\",\"Add (2,3)=45 Failed, w=122\",\"Add (1,2)=49 Failed, w=122\",\"Add (3,5)=57 Failed, w=122\",\"Add (3,4)=61 Failed, w=122\",\"Add (1,4)=70 Failed, w=122\",\"Add (1,5)=70 Failed, w=122\",\"Add (0,2)=75 Failed, w=122\",\"Add (0,4)=94 Failed, w=122\",\"Add (0,3)=100 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],\"edges\":[[0,1,20],[0,2,75],[0,3,100],[0,4,94],[0,5,44],[1,2,49],[1,3,26],[1,4,70],[1,5,70],[2,3,45],[2,4,21],[2,5,11],[3,4,61],[3,5,57],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(0,1)=20,(2,4)=21,(1,3)=26,(4,5)=38,(0,5)=44,(2,3)=45,(1,2)=49,(3,5)=57,(3,4)=61,(1,4)=70,(1,5)=70,(0,2)=75,(0,4)=94,(0,3)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=31\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=52\",\"Find(1)=0, Find(3)=3, Add (1,3)=26 Succeeded, w=78\",\"Find(4)=2, Find(5)=2, Add (4,5)=38 Failed, w=78\",\"Find(0)=0, Find(5)=2, Add (0,5)=44 Succeeded, w=122\",\"Find(2)=0, Find(3)=0, Add (2,3)=45 Failed, w=122\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=122\",\"Find(3)=0, Find(5)=0, Add (3,5)=57 Failed, w=122\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=122\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=122\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=122\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=122\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=122\",\"Find(0)=0, Find(3)=0, Add (0,3)=100 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],\"edges\":[[0,1,20],[0,2,75],[0,3,100],[0,4,94],[0,5,44],[1,2,49],[1,3,26],[1,4,70],[1,5,70],[2,3,45],[2,4,21],[2,5,11],[3,4,61],[3,5,57],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(0,1)=20,(2,4)=21,(1,3)=26,(4,5)=38,(0,5)=44,(2,3)=45,(1,2)=49,(3,5)=57,(3,4)=61,(1,4)=70,(1,5)=70,(0,2)=75,(0,4)=94,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(1)=0, Find(3)=3, Add (1,3)=26 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=38 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=44 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(2)=0, Find(3)=0, Add (2,3)=45 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=57 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=122\",\"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=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,69],[0,2,27],[0,3,99],[0,4,39],[0,5,87],[0,6,87],[1,2,0],[1,3,37],[1,4,58],[1,5,58],[1,6,6],[2,4,8],[2,5,33],[2,6,7],[3,5,19],[3,6,11],[4,5,66],[4,6,15],[5,6,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,27],[0,3,99],[0,4,39],[0,5,87],[0,6,87],[1,2,0],[1,3,37],[1,4,58],[1,5,58],[1,6,6],[2,4,8],[2,5,33],[2,6,7],[3,5,19],[3,6,11],[4,5,66],[4,6,15],[5,6,76]]}",
"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],\"edges\":[[0,1,69],[0,2,27],[0,3,99],[0,4,39],[0,5,87],[0,6,87],[1,2,0],[1,3,37],[1,4,58],[1,5,58],[1,6,6],[2,4,8],[2,5,33],[2,6,7],[3,5,19],[3,6,11],[4,5,66],[4,6,15],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (3,5)\",\"Add (0,2)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,69],[0,2,27],[0,3,99],[0,4,39],[0,5,87],[0,6,87],[1,2,0],[1,3,37],[1,4,58],[1,5,58],[1,6,6],[2,4,8],[2,5,33],[2,6,7],[3,5,19],[3,6,11],[4,5,66],[4,6,15],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (1,6)=6, w=6\",\"Add (2,4)=8, w=14\",\"Add (3,6)=11, w=25\",\"Add (3,5)=19, w=44\",\"Add (0,2)=27, 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],\"edges\":[[0,1,69],[0,2,27],[0,3,99],[0,4,39],[0,5,87],[0,6,87],[1,2,0],[1,3,37],[1,4,58],[1,5,58],[1,6,6],[2,4,8],[2,5,33],[2,6,7],[3,5,19],[3,6,11],[4,5,66],[4,6,15],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (1,6)=6 Succeeded, w=6\",\"Add (2,6)=7 Failed, w=6\",\"Add (2,4)=8 Succeeded, w=14\",\"Add (3,6)=11 Succeeded, w=25\",\"Add (4,6)=15 Failed, w=25\",\"Add (3,5)=19 Succeeded, w=44\",\"Add (0,2)=27 Succeeded, w=71\",\"Add (2,5)=33 Failed, w=71\",\"Add (1,3)=37 Failed, w=71\",\"Add (0,4)=39 Failed, w=71\",\"Add (1,4)=58 Failed, w=71\",\"Add (1,5)=58 Failed, w=71\",\"Add (4,5)=66 Failed, w=71\",\"Add (0,1)=69 Failed, w=71\",\"Add (5,6)=76 Failed, w=71\",\"Add (0,5)=87 Failed, w=71\",\"Add (0,6)=87 Failed, w=71\",\"Add (0,3)=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],\"edges\":[[0,1,69],[0,2,27],[0,3,99],[0,4,39],[0,5,87],[0,6,87],[1,2,0],[1,3,37],[1,4,58],[1,5,58],[1,6,6],[2,4,8],[2,5,33],[2,6,7],[3,5,19],[3,6,11],[4,5,66],[4,6,15],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(1,6)=6,(2,6)=7,(2,4)=8,(3,6)=11,(4,6)=15,(3,5)=19,(0,2)=27,(2,5)=33,(1,3)=37,(0,4)=39,(1,4)=58,(1,5)=58,(4,5)=66,(0,1)=69,(5,6)=76,(0,5)=87,(0,6)=87,(0,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=6\",\"Find(2)=1, Find(6)=1, Add (2,6)=7 Failed, w=6\",\"Find(2)=1, Find(4)=4, Add (2,4)=8 Succeeded, w=14\",\"Find(3)=3, Find(6)=1, Add (3,6)=11 Succeeded, w=25\",\"Find(4)=1, Find(6)=1, Add (4,6)=15 Failed, w=25\",\"Find(3)=1, Find(5)=5, Add (3,5)=19 Succeeded, w=44\",\"Find(0)=0, Find(2)=1, Add (0,2)=27 Succeeded, w=71\",\"Find(2)=1, Find(5)=1, Add (2,5)=33 Failed, w=71\",\"Find(1)=1, Find(3)=1, Add (1,3)=37 Failed, w=71\",\"Find(0)=1, Find(4)=1, Add (0,4)=39 Failed, w=71\",\"Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=71\",\"Find(1)=1, Find(5)=1, Add (1,5)=58 Failed, w=71\",\"Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=71\",\"Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=71\",\"Find(5)=1, Find(6)=1, Add (5,6)=76 Failed, w=71\",\"Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=71\",\"Find(0)=1, Find(6)=1, Add (0,6)=87 Failed, w=71\",\"Find(0)=1, Find(3)=1, Add (0,3)=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],\"edges\":[[0,1,69],[0,2,27],[0,3,99],[0,4,39],[0,5,87],[0,6,87],[1,2,0],[1,3,37],[1,4,58],[1,5,58],[1,6,6],[2,4,8],[2,5,33],[2,6,7],[3,5,19],[3,6,11],[4,5,66],[4,6,15],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(1,6)=6,(2,6)=7,(2,4)=8,(3,6)=11,(4,6)=15,(3,5)=19,(0,2)=27,(2,5)=33,(1,3)=37,(0,4)=39,(1,4)=58,(1,5)=58,(4,5)=66,(0,1)=69,(5,6)=76,(0,5)=87,(0,6)=87,(0,3)=99]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 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: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=7 Failed, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=11 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=15 Failed, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=19 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=27 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=33 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=37 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=39 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=58 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=58 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=76 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=87 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=99 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,96],[0,2,68],[0,3,38],[1,2,2],[1,3,6],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,68],[0,3,38],[1,2,2],[1,3,6],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,68],[0,3,38],[1,2,2],[1,3,6],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,68],[0,3,38],[1,2,2],[1,3,6],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (1,3)=6, w=8\",\"Add (0,3)=38, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,68],[0,3,38],[1,2,2],[1,3,6],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (1,3)=6 Succeeded, w=8\",\"Add (0,3)=38 Succeeded, w=46\",\"Add (2,3)=56 Failed, w=46\",\"Add (0,2)=68 Failed, w=46\",\"Add (0,1)=96 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,68],[0,3,38],[1,2,2],[1,3,6],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(1,3)=6,(0,3)=38,(2,3)=56,(0,2)=68,(0,1)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=8\",\"Find(0)=0, Find(3)=1, Add (0,3)=38 Succeeded, w=46\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=46\",\"Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=46\",\"Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,68],[0,3,38],[1,2,2],[1,3,6],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(1,3)=6,(0,3)=38,(2,3)=56,(0,2)=68,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=38 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,100],[0,2,33],[0,3,60],[1,2,51],[1,3,14],[2,3,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,33],[0,3,60],[1,2,51],[1,3,14],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,33],[0,3,60],[1,2,51],[1,3,14],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,33],[0,3,60],[1,2,51],[1,3,14],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (1,3)=14, w=19\",\"Add (0,2)=33, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,33],[0,3,60],[1,2,51],[1,3,14],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (1,3)=14 Succeeded, w=19\",\"Add (0,2)=33 Succeeded, w=52\",\"Add (1,2)=51 Failed, w=52\",\"Add (0,3)=60 Failed, w=52\",\"Add (0,1)=100 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,33],[0,3,60],[1,2,51],[1,3,14],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,3)=14,(0,2)=33,(1,2)=51,(0,3)=60,(0,1)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=52\",\"Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=52\",\"Find(0)=2, Find(3)=2, Add (0,3)=60 Failed, w=52\",\"Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,33],[0,3,60],[1,2,51],[1,3,14],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,3)=14,(0,2)=33,(1,2)=51,(0,3)=60,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=19\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=60 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,20],[0,2,18],[0,3,75],[0,5,52],[1,3,35],[1,5,61],[2,3,76],[2,4,11],[2,5,47],[3,4,96],[3,5,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,18],[0,3,75],[0,5,52],[1,3,35],[1,5,61],[2,3,76],[2,4,11],[2,5,47],[3,4,96],[3,5,22]]}",
"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\":[[0,1,20],[0,2,18],[0,3,75],[0,5,52],[1,3,35],[1,5,61],[2,3,76],[2,4,11],[2,5,47],[3,4,96],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (1,3)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,18],[0,3,75],[0,5,52],[1,3,35],[1,5,61],[2,3,76],[2,4,11],[2,5,47],[3,4,96],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (0,2)=18, w=29\",\"Add (0,1)=20, w=49\",\"Add (3,5)=22, w=71\",\"Add (1,3)=35, 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\":[[0,1,20],[0,2,18],[0,3,75],[0,5,52],[1,3,35],[1,5,61],[2,3,76],[2,4,11],[2,5,47],[3,4,96],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (0,2)=18 Succeeded, w=29\",\"Add (0,1)=20 Succeeded, w=49\",\"Add (3,5)=22 Succeeded, w=71\",\"Add (1,3)=35 Succeeded, w=106\",\"Add (2,5)=47 Failed, w=106\",\"Add (0,5)=52 Failed, w=106\",\"Add (1,5)=61 Failed, w=106\",\"Add (0,3)=75 Failed, w=106\",\"Add (2,3)=76 Failed, w=106\",\"Add (3,4)=96 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\":[[0,1,20],[0,2,18],[0,3,75],[0,5,52],[1,3,35],[1,5,61],[2,3,76],[2,4,11],[2,5,47],[3,4,96],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(0,2)=18,(0,1)=20,(3,5)=22,(1,3)=35,(2,5)=47,(0,5)=52,(1,5)=61,(0,3)=75,(2,3)=76,(3,4)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=29\",\"Find(0)=2, Find(1)=1, Add (0,1)=20 Succeeded, w=49\",\"Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=71\",\"Find(1)=2, Find(3)=3, Add (1,3)=35 Succeeded, w=106\",\"Find(2)=2, Find(5)=2, Add (2,5)=47 Failed, w=106\",\"Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=106\",\"Find(1)=2, Find(5)=2, Add (1,5)=61 Failed, w=106\",\"Find(0)=2, Find(3)=2, Add (0,3)=75 Failed, w=106\",\"Find(2)=2, Find(3)=2, Add (2,3)=76 Failed, w=106\",\"Find(3)=2, Find(4)=2, Add (3,4)=96 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\":[[0,1,20],[0,2,18],[0,3,75],[0,5,52],[1,3,35],[1,5,61],[2,3,76],[2,4,11],[2,5,47],[3,4,96],[3,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(0,2)=18,(0,1)=20,(3,5)=22,(1,3)=35,(2,5)=47,(0,5)=52,(1,5)=61,(0,3)=75,(2,3)=76,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=29\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=2, Find(1)=1, Add (0,1)=20 Succeeded, w=49\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(1)=2, Find(3)=3, Add (1,3)=35 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=47 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)=52 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)=61 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)=75 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=76 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)=96 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,47],[0,3,16],[0,4,29],[1,2,14],[1,3,68],[1,4,23],[2,3,47],[2,4,83],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,47],[0,3,16],[0,4,29],[1,2,14],[1,3,68],[1,4,23],[2,3,47],[2,4,83],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,47],[0,3,16],[0,4,29],[1,2,14],[1,3,68],[1,4,23],[2,3,47],[2,4,83],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,47],[0,3,16],[0,4,29],[1,2,14],[1,3,68],[1,4,23],[2,3,47],[2,4,83],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14, w=14\",\"Add (0,3)=16, w=30\",\"Add (0,1)=18, w=48\",\"Add (1,4)=23, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,47],[0,3,16],[0,4,29],[1,2,14],[1,3,68],[1,4,23],[2,3,47],[2,4,83],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14 Succeeded, w=14\",\"Add (0,3)=16 Succeeded, w=30\",\"Add (0,1)=18 Succeeded, w=48\",\"Add (1,4)=23 Succeeded, w=71\",\"Add (0,4)=29 Failed, w=71\",\"Add (3,4)=34 Failed, w=71\",\"Add (0,2)=47 Failed, w=71\",\"Add (2,3)=47 Failed, w=71\",\"Add (1,3)=68 Failed, w=71\",\"Add (2,4)=83 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,47],[0,3,16],[0,4,29],[1,2,14],[1,3,68],[1,4,23],[2,3,47],[2,4,83],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(0,3)=16,(0,1)=18,(1,4)=23,(0,4)=29,(3,4)=34,(0,2)=47,(2,3)=47,(1,3)=68,(2,4)=83]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=48\",\"Find(1)=0, Find(4)=4, Add (1,4)=23 Succeeded, w=71\",\"Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=71\",\"Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=71\",\"Find(0)=0, Find(2)=0, Add (0,2)=47 Failed, w=71\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=71\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=71\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,47],[0,3,16],[0,4,29],[1,2,14],[1,3,68],[1,4,23],[2,3,47],[2,4,83],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(0,3)=16,(0,1)=18,(1,4)=23,(0,4)=29,(3,4)=34,(0,2)=47,(2,3)=47,(1,3)=68,(2,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=23 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=47 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,4,55],[1,2,39],[1,3,36],[1,4,20],[2,3,71],[2,4,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,4,55],[1,2,39],[1,3,36],[1,4,20],[2,3,71],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,4,55],[1,2,39],[1,3,36],[1,4,20],[2,3,71],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,4,55],[1,2,39],[1,3,36],[1,4,20],[2,3,71],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20, w=20\",\"Add (1,3)=36, w=56\",\"Add (1,2)=39, w=95\",\"Add (0,4)=55, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,4,55],[1,2,39],[1,3,36],[1,4,20],[2,3,71],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20 Succeeded, w=20\",\"Add (1,3)=36 Succeeded, w=56\",\"Add (1,2)=39 Succeeded, w=95\",\"Add (0,4)=55 Succeeded, w=150\",\"Add (2,4)=68 Failed, w=150\",\"Add (2,3)=71 Failed, w=150\",\"Add (0,1)=80 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,4,55],[1,2,39],[1,3,36],[1,4,20],[2,3,71],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(1,3)=36,(1,2)=39,(0,4)=55,(2,4)=68,(2,3)=71,(0,1)=80]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=56\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=95\",\"Find(0)=0, Find(4)=1, Add (0,4)=55 Succeeded, w=150\",\"Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=150\",\"Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=150\",\"Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,4,55],[1,2,39],[1,3,36],[1,4,20],[2,3,71],[2,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(1,3)=36,(1,2)=39,(0,4)=55,(2,4)=68,(2,3)=71,(0,1)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=55 Succeeded, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=68 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=150\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,98],[0,2,70],[0,3,47],[1,3,22],[2,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,70],[0,3,47],[1,3,22],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,70],[0,3,47],[1,3,22],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,70],[0,3,47],[1,3,22],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=22, w=22\",\"Add (0,3)=47, w=69\",\"Add (0,2)=70, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,70],[0,3,47],[1,3,22],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=22 Succeeded, w=22\",\"Add (0,3)=47 Succeeded, w=69\",\"Add (0,2)=70 Succeeded, w=139\",\"Add (2,3)=72 Failed, w=139\",\"Add (0,1)=98 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,70],[0,3,47],[1,3,22],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=22,(0,3)=47,(0,2)=70,(2,3)=72,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=22\",\"Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=69\",\"Find(0)=1, Find(2)=2, Add (0,2)=70 Succeeded, w=139\",\"Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=139\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,2,70],[0,3,47],[1,3,22],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=22,(0,3)=47,(0,2)=70,(2,3)=72,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=70 Succeeded, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,14],[0,3,64],[0,4,22],[1,2,89],[1,4,64],[2,3,50],[2,4,92],[3,4,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,3,64],[0,4,22],[1,2,89],[1,4,64],[2,3,50],[2,4,92],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,3,64],[0,4,22],[1,2,89],[1,4,64],[2,3,50],[2,4,92],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,3,64],[0,4,22],[1,2,89],[1,4,64],[2,3,50],[2,4,92],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (0,4)=22, w=36\",\"Add (3,4)=43, w=79\",\"Add (2,3)=50, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,3,64],[0,4,22],[1,2,89],[1,4,64],[2,3,50],[2,4,92],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (0,4)=22 Succeeded, w=36\",\"Add (3,4)=43 Succeeded, w=79\",\"Add (2,3)=50 Succeeded, w=129\",\"Add (0,3)=64 Failed, w=129\",\"Add (1,4)=64 Failed, w=129\",\"Add (1,2)=89 Failed, w=129\",\"Add (2,4)=92 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,3,64],[0,4,22],[1,2,89],[1,4,64],[2,3,50],[2,4,92],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,4)=22,(3,4)=43,(2,3)=50,(0,3)=64,(1,4)=64,(1,2)=89,(2,4)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=36\",\"Find(3)=3, Find(4)=0, Add (3,4)=43 Succeeded, w=79\",\"Find(2)=2, Find(3)=0, Add (2,3)=50 Succeeded, w=129\",\"Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=129\",\"Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=129\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=129\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,14],[0,3,64],[0,4,22],[1,2,89],[1,4,64],[2,3,50],[2,4,92],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,4)=22,(3,4)=43,(2,3)=50,(0,3)=64,(1,4)=64,(1,2)=89,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=43 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=50 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,49],[0,2,80],[0,3,16],[0,4,6],[0,5,34],[0,6,63],[0,7,64],[1,3,45],[1,4,19],[1,6,80],[1,7,71],[2,3,90],[2,5,93],[2,6,26],[2,7,6],[3,4,95],[3,6,58],[3,7,34],[4,5,27],[4,7,81],[5,7,40],[6,7,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,80],[0,3,16],[0,4,6],[0,5,34],[0,6,63],[0,7,64],[1,3,45],[1,4,19],[1,6,80],[1,7,71],[2,3,90],[2,5,93],[2,6,26],[2,7,6],[3,4,95],[3,6,58],[3,7,34],[4,5,27],[4,7,81],[5,7,40],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,80],[0,3,16],[0,4,6],[0,5,34],[0,6,63],[0,7,64],[1,3,45],[1,4,19],[1,6,80],[1,7,71],[2,3,90],[2,5,93],[2,6,26],[2,7,6],[3,4,95],[3,6,58],[3,7,34],[4,5,27],[4,7,81],[5,7,40],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,7)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (3,7)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,80],[0,3,16],[0,4,6],[0,5,34],[0,6,63],[0,7,64],[1,3,45],[1,4,19],[1,6,80],[1,7,71],[2,3,90],[2,5,93],[2,6,26],[2,7,6],[3,4,95],[3,6,58],[3,7,34],[4,5,27],[4,7,81],[5,7,40],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (2,7)=6, w=12\",\"Add (0,3)=16, w=28\",\"Add (1,4)=19, w=47\",\"Add (2,6)=26, w=73\",\"Add (4,5)=27, w=100\",\"Add (3,7)=34, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,80],[0,3,16],[0,4,6],[0,5,34],[0,6,63],[0,7,64],[1,3,45],[1,4,19],[1,6,80],[1,7,71],[2,3,90],[2,5,93],[2,6,26],[2,7,6],[3,4,95],[3,6,58],[3,7,34],[4,5,27],[4,7,81],[5,7,40],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (2,7)=6 Succeeded, w=12\",\"Add (0,3)=16 Succeeded, w=28\",\"Add (1,4)=19 Succeeded, w=47\",\"Add (2,6)=26 Succeeded, w=73\",\"Add (4,5)=27 Succeeded, w=100\",\"Add (6,7)=27 Failed, w=100\",\"Add (0,5)=34 Failed, w=100\",\"Add (3,7)=34 Succeeded, w=134\",\"Add (5,7)=40 Failed, w=134\",\"Add (1,3)=45 Failed, w=134\",\"Add (0,1)=49 Failed, w=134\",\"Add (3,6)=58 Failed, w=134\",\"Add (0,6)=63 Failed, w=134\",\"Add (0,7)=64 Failed, w=134\",\"Add (1,7)=71 Failed, w=134\",\"Add (0,2)=80 Failed, w=134\",\"Add (1,6)=80 Failed, w=134\",\"Add (4,7)=81 Failed, w=134\",\"Add (2,3)=90 Failed, w=134\",\"Add (2,5)=93 Failed, w=134\",\"Add (3,4)=95 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,80],[0,3,16],[0,4,6],[0,5,34],[0,6,63],[0,7,64],[1,3,45],[1,4,19],[1,6,80],[1,7,71],[2,3,90],[2,5,93],[2,6,26],[2,7,6],[3,4,95],[3,6,58],[3,7,34],[4,5,27],[4,7,81],[5,7,40],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(2,7)=6,(0,3)=16,(1,4)=19,(2,6)=26,(4,5)=27,(6,7)=27,(0,5)=34,(3,7)=34,(5,7)=40,(1,3)=45,(0,1)=49,(3,6)=58,(0,6)=63,(0,7)=64,(1,7)=71,(0,2)=80,(1,6)=80,(4,7)=81,(2,3)=90,(2,5)=93,(3,4)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=28\",\"Find(1)=1, Find(4)=0, Add (1,4)=19 Succeeded, w=47\",\"Find(2)=2, Find(6)=6, Add (2,6)=26 Succeeded, w=73\",\"Find(4)=0, Find(5)=5, Add (4,5)=27 Succeeded, w=100\",\"Find(6)=2, Find(7)=2, Add (6,7)=27 Failed, w=100\",\"Find(0)=0, Find(5)=0, Add (0,5)=34 Failed, w=100\",\"Find(3)=0, Find(7)=2, Add (3,7)=34 Succeeded, w=134\",\"Find(5)=0, Find(7)=0, Add (5,7)=40 Failed, w=134\",\"Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=134\",\"Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=134\",\"Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=134\",\"Find(0)=0, Find(6)=0, Add (0,6)=63 Failed, w=134\",\"Find(0)=0, Find(7)=0, Add (0,7)=64 Failed, w=134\",\"Find(1)=0, Find(7)=0, Add (1,7)=71 Failed, w=134\",\"Find(0)=0, Find(2)=0, Add (0,2)=80 Failed, w=134\",\"Find(1)=0, Find(6)=0, Add (1,6)=80 Failed, w=134\",\"Find(4)=0, Find(7)=0, Add (4,7)=81 Failed, w=134\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=134\",\"Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=134\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,80],[0,3,16],[0,4,6],[0,5,34],[0,6,63],[0,7,64],[1,3,45],[1,4,19],[1,6,80],[1,7,71],[2,3,90],[2,5,93],[2,6,26],[2,7,6],[3,4,95],[3,6,58],[3,7,34],[4,5,27],[4,7,81],[5,7,40],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(2,7)=6,(0,3)=16,(1,4)=19,(2,6)=26,(4,5)=27,(6,7)=27,(0,5)=34,(3,7)=34,(5,7)=40,(1,3)=45,(0,1)=49,(3,6)=58,(0,6)=63,(0,7)=64,(1,7)=71,(0,2)=80,(1,6)=80,(4,7)=81,(2,3)=90,(2,5)=93,(3,4)=95]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(4)=0, Add (1,4)=19 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 2, 7: 2}, Find(2)=2, Find(6)=6, Add (2,6)=26 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(4)=0, Find(5)=5, Add (4,5)=27 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=27 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(0)=0, Find(5)=0, Add (0,5)=34 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(3)=0, Find(7)=2, Add (3,7)=34 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=40 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=134\",\"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)=58 Failed, w=134\",\"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)=63 Failed, w=134\",\"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)=64 Failed, w=134\",\"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)=71 Failed, w=134\",\"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)=80 Failed, w=134\",\"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)=80 Failed, w=134\",\"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)=81 Failed, w=134\",\"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)=90 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=134\",\"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)=95 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,71],[0,2,89],[0,3,32],[0,4,0],[1,2,39],[1,3,93],[1,4,12],[2,3,100],[2,4,45],[3,4,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,89],[0,3,32],[0,4,0],[1,2,39],[1,3,93],[1,4,12],[2,3,100],[2,4,45],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,89],[0,3,32],[0,4,0],[1,2,39],[1,3,93],[1,4,12],[2,3,100],[2,4,45],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,89],[0,3,32],[0,4,0],[1,2,39],[1,3,93],[1,4,12],[2,3,100],[2,4,45],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (1,4)=12, w=12\",\"Add (0,3)=32, w=44\",\"Add (1,2)=39, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,89],[0,3,32],[0,4,0],[1,2,39],[1,3,93],[1,4,12],[2,3,100],[2,4,45],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (1,4)=12 Succeeded, w=12\",\"Add (0,3)=32 Succeeded, w=44\",\"Add (1,2)=39 Succeeded, w=83\",\"Add (2,4)=45 Failed, w=83\",\"Add (0,1)=71 Failed, w=83\",\"Add (3,4)=87 Failed, w=83\",\"Add (0,2)=89 Failed, w=83\",\"Add (1,3)=93 Failed, w=83\",\"Add (2,3)=100 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,89],[0,3,32],[0,4,0],[1,2,39],[1,3,93],[1,4,12],[2,3,100],[2,4,45],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(1,4)=12,(0,3)=32,(1,2)=39,(2,4)=45,(0,1)=71,(3,4)=87,(0,2)=89,(1,3)=93,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=0, Add (1,4)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=44\",\"Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=83\",\"Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=83\",\"Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=83\",\"Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=83\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=83\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,89],[0,3,32],[0,4,0],[1,2,39],[1,3,93],[1,4,12],[2,3,100],[2,4,45],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(1,4)=12,(0,3)=32,(1,2)=39,(2,4)=45,(0,1)=71,(3,4)=87,(0,2)=89,(1,3)=93,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,90],[1,2,13],[1,3,14],[2,3,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[1,2,13],[1,3,14],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[1,2,13],[1,3,14],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[1,2,13],[1,3,14],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (1,3)=14, w=27\",\"Add (0,1)=90, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[1,2,13],[1,3,14],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (1,3)=14 Succeeded, w=27\",\"Add (2,3)=83 Failed, w=27\",\"Add (0,1)=90 Succeeded, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[1,2,13],[1,3,14],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(1,3)=14,(2,3)=83,(0,1)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=27\",\"Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=90 Succeeded, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[1,2,13],[1,3,14],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(1,3)=14,(2,3)=83,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=90 Succeeded, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,4],[0,2,88],[0,4,94],[0,5,73],[1,2,21],[1,3,75],[1,4,21],[1,5,85],[2,3,16],[2,4,62],[2,5,77],[3,4,6],[3,5,39],[4,5,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,88],[0,4,94],[0,5,73],[1,2,21],[1,3,75],[1,4,21],[1,5,85],[2,3,16],[2,4,62],[2,5,77],[3,4,6],[3,5,39],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,88],[0,4,94],[0,5,73],[1,2,21],[1,3,75],[1,4,21],[1,5,85],[2,3,16],[2,4,62],[2,5,77],[3,4,6],[3,5,39],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (3,5)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,88],[0,4,94],[0,5,73],[1,2,21],[1,3,75],[1,4,21],[1,5,85],[2,3,16],[2,4,62],[2,5,77],[3,4,6],[3,5,39],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (3,4)=6, w=10\",\"Add (2,3)=16, w=26\",\"Add (1,2)=21, w=47\",\"Add (3,5)=39, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,88],[0,4,94],[0,5,73],[1,2,21],[1,3,75],[1,4,21],[1,5,85],[2,3,16],[2,4,62],[2,5,77],[3,4,6],[3,5,39],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (3,4)=6 Succeeded, w=10\",\"Add (2,3)=16 Succeeded, w=26\",\"Add (1,2)=21 Succeeded, w=47\",\"Add (1,4)=21 Failed, w=47\",\"Add (3,5)=39 Succeeded, w=86\",\"Add (2,4)=62 Failed, w=86\",\"Add (4,5)=71 Failed, w=86\",\"Add (0,5)=73 Failed, w=86\",\"Add (1,3)=75 Failed, w=86\",\"Add (2,5)=77 Failed, w=86\",\"Add (1,5)=85 Failed, w=86\",\"Add (0,2)=88 Failed, w=86\",\"Add (0,4)=94 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,88],[0,4,94],[0,5,73],[1,2,21],[1,3,75],[1,4,21],[1,5,85],[2,3,16],[2,4,62],[2,5,77],[3,4,6],[3,5,39],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(3,4)=6,(2,3)=16,(1,2)=21,(1,4)=21,(3,5)=39,(2,4)=62,(4,5)=71,(0,5)=73,(1,3)=75,(2,5)=77,(1,5)=85,(0,2)=88,(0,4)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=26\",\"Find(1)=0, Find(2)=3, Add (1,2)=21 Succeeded, w=47\",\"Find(1)=0, Find(4)=0, Add (1,4)=21 Failed, w=47\",\"Find(3)=0, Find(5)=5, Add (3,5)=39 Succeeded, w=86\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=86\",\"Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=86\",\"Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=86\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=86\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=86\",\"Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=86\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=86\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,88],[0,4,94],[0,5,73],[1,2,21],[1,3,75],[1,4,21],[1,5,85],[2,3,16],[2,4,62],[2,5,77],[3,4,6],[3,5,39],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(3,4)=6,(2,3)=16,(1,2)=21,(1,4)=21,(3,5)=39,(2,4)=62,(4,5)=71,(0,5)=73,(1,3)=75,(2,5)=77,(1,5)=85,(0,2)=88,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 5}, Find(1)=0, Find(2)=3, Add (1,2)=21 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(4)=0, Add (1,4)=21 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=39 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=86\",\"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=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,77],[0,3,69],[0,4,72],[1,2,12],[1,4,68],[1,5,4],[2,3,24],[2,4,72],[2,5,62],[3,4,29],[3,5,15],[4,5,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,77],[0,3,69],[0,4,72],[1,2,12],[1,4,68],[1,5,4],[2,3,24],[2,4,72],[2,5,62],[3,4,29],[3,5,15],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,77],[0,3,69],[0,4,72],[1,2,12],[1,4,68],[1,5,4],[2,3,24],[2,4,72],[2,5,62],[3,4,29],[3,5,15],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (3,4)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,77],[0,3,69],[0,4,72],[1,2,12],[1,4,68],[1,5,4],[2,3,24],[2,4,72],[2,5,62],[3,4,29],[3,5,15],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (1,2)=12, w=16\",\"Add (0,1)=13, w=29\",\"Add (3,5)=15, w=44\",\"Add (3,4)=29, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,77],[0,3,69],[0,4,72],[1,2,12],[1,4,68],[1,5,4],[2,3,24],[2,4,72],[2,5,62],[3,4,29],[3,5,15],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (1,2)=12 Succeeded, w=16\",\"Add (0,1)=13 Succeeded, w=29\",\"Add (3,5)=15 Succeeded, w=44\",\"Add (2,3)=24 Failed, w=44\",\"Add (3,4)=29 Succeeded, w=73\",\"Add (4,5)=54 Failed, w=73\",\"Add (2,5)=62 Failed, w=73\",\"Add (1,4)=68 Failed, w=73\",\"Add (0,3)=69 Failed, w=73\",\"Add (0,4)=72 Failed, w=73\",\"Add (2,4)=72 Failed, w=73\",\"Add (0,2)=77 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,77],[0,3,69],[0,4,72],[1,2,12],[1,4,68],[1,5,4],[2,3,24],[2,4,72],[2,5,62],[3,4,29],[3,5,15],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(1,2)=12,(0,1)=13,(3,5)=15,(2,3)=24,(3,4)=29,(4,5)=54,(2,5)=62,(1,4)=68,(0,3)=69,(0,4)=72,(2,4)=72,(0,2)=77]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=29\",\"Find(3)=3, Find(5)=1, Add (3,5)=15 Succeeded, w=44\",\"Find(2)=1, Find(3)=1, Add (2,3)=24 Failed, w=44\",\"Find(3)=1, Find(4)=4, Add (3,4)=29 Succeeded, w=73\",\"Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=73\",\"Find(2)=1, Find(5)=1, Add (2,5)=62 Failed, w=73\",\"Find(1)=1, Find(4)=1, Add (1,4)=68 Failed, w=73\",\"Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=73\",\"Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=73\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=73\",\"Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,77],[0,3,69],[0,4,72],[1,2,12],[1,4,68],[1,5,4],[2,3,24],[2,4,72],[2,5,62],[3,4,29],[3,5,15],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(1,2)=12,(0,1)=13,(3,5)=15,(2,3)=24,(3,4)=29,(4,5)=54,(2,5)=62,(1,4)=68,(0,3)=69,(0,4)=72,(2,4)=72,(0,2)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=15 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=24 Failed, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=4, Add (3,4)=29 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=62 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=68 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,0],[0,2,48],[0,3,99],[0,4,25],[0,5,82],[0,6,85],[0,7,21],[1,3,83],[1,4,37],[1,5,23],[2,4,4],[2,6,20],[3,6,68],[4,5,9],[4,7,100],[5,6,85],[5,7,50],[6,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,48],[0,3,99],[0,4,25],[0,5,82],[0,6,85],[0,7,21],[1,3,83],[1,4,37],[1,5,23],[2,4,4],[2,6,20],[3,6,68],[4,5,9],[4,7,100],[5,6,85],[5,7,50],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,48],[0,3,99],[0,4,25],[0,5,82],[0,6,85],[0,7,21],[1,3,83],[1,4,37],[1,5,23],[2,4,4],[2,6,20],[3,6,68],[4,5,9],[4,7,100],[5,6,85],[5,7,50],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (2,6)\",\"Add (0,7)\",\"Add (1,5)\",\"Add (3,6)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,48],[0,3,99],[0,4,25],[0,5,82],[0,6,85],[0,7,21],[1,3,83],[1,4,37],[1,5,23],[2,4,4],[2,6,20],[3,6,68],[4,5,9],[4,7,100],[5,6,85],[5,7,50],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (2,4)=4, w=4\",\"Add (4,5)=9, w=13\",\"Add (2,6)=20, w=33\",\"Add (0,7)=21, w=54\",\"Add (1,5)=23, w=77\",\"Add (3,6)=68, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,48],[0,3,99],[0,4,25],[0,5,82],[0,6,85],[0,7,21],[1,3,83],[1,4,37],[1,5,23],[2,4,4],[2,6,20],[3,6,68],[4,5,9],[4,7,100],[5,6,85],[5,7,50],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (2,4)=4 Succeeded, w=4\",\"Add (4,5)=9 Succeeded, w=13\",\"Add (2,6)=20 Succeeded, w=33\",\"Add (0,7)=21 Succeeded, w=54\",\"Add (1,5)=23 Succeeded, w=77\",\"Add (0,4)=25 Failed, w=77\",\"Add (1,4)=37 Failed, w=77\",\"Add (0,2)=48 Failed, w=77\",\"Add (5,7)=50 Failed, w=77\",\"Add (3,6)=68 Succeeded, w=145\",\"Add (0,5)=82 Failed, w=145\",\"Add (1,3)=83 Failed, w=145\",\"Add (0,6)=85 Failed, w=145\",\"Add (5,6)=85 Failed, w=145\",\"Add (6,7)=92 Failed, w=145\",\"Add (0,3)=99 Failed, w=145\",\"Add (4,7)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,48],[0,3,99],[0,4,25],[0,5,82],[0,6,85],[0,7,21],[1,3,83],[1,4,37],[1,5,23],[2,4,4],[2,6,20],[3,6,68],[4,5,9],[4,7,100],[5,6,85],[5,7,50],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,4)=4,(4,5)=9,(2,6)=20,(0,7)=21,(1,5)=23,(0,4)=25,(1,4)=37,(0,2)=48,(5,7)=50,(3,6)=68,(0,5)=82,(1,3)=83,(0,6)=85,(5,6)=85,(6,7)=92,(0,3)=99,(4,7)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(4)=2, Find(5)=5, Add (4,5)=9 Succeeded, w=13\",\"Find(2)=2, Find(6)=6, Add (2,6)=20 Succeeded, w=33\",\"Find(0)=0, Find(7)=7, Add (0,7)=21 Succeeded, w=54\",\"Find(1)=0, Find(5)=2, Add (1,5)=23 Succeeded, w=77\",\"Find(0)=0, Find(4)=0, Add (0,4)=25 Failed, w=77\",\"Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=77\",\"Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=77\",\"Find(5)=0, Find(7)=0, Add (5,7)=50 Failed, w=77\",\"Find(3)=3, Find(6)=0, Add (3,6)=68 Succeeded, w=145\",\"Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=145\",\"Find(0)=0, Find(6)=0, Add (0,6)=85 Failed, w=145\",\"Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=145\",\"Find(6)=0, Find(7)=0, Add (6,7)=92 Failed, w=145\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=145\",\"Find(4)=0, Find(7)=0, Add (4,7)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,48],[0,3,99],[0,4,25],[0,5,82],[0,6,85],[0,7,21],[1,3,83],[1,4,37],[1,5,23],[2,4,4],[2,6,20],[3,6,68],[4,5,9],[4,7,100],[5,6,85],[5,7,50],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,4)=4,(4,5)=9,(2,6)=20,(0,7)=21,(1,5)=23,(0,4)=25,(1,4)=37,(0,2)=48,(5,7)=50,(3,6)=68,(0,5)=82,(1,3)=83,(0,6)=85,(5,6)=85,(6,7)=92,(0,3)=99,(4,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(4)=2, Find(5)=5, Add (4,5)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=20 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=21 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 2, 6: 2, 7: 0}, Find(1)=0, Find(5)=2, Add (1,5)=23 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 2, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=25 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 2, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 2, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 2, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=50 Failed, w=77\",\"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)=68 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=145\",\"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=145\",\"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)=85 Failed, w=145\",\"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)=85 Failed, w=145\",\"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)=92 Failed, w=145\",\"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)=99 Failed, w=145\",\"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)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,73],[0,2,88],[0,3,26],[0,4,8],[0,5,16],[1,2,57],[1,3,72],[1,4,18],[1,5,18],[1,6,27],[2,3,30],[2,4,15],[2,5,81],[2,6,20],[3,4,43],[3,5,51],[3,6,2],[4,5,87],[4,6,45],[5,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,88],[0,3,26],[0,4,8],[0,5,16],[1,2,57],[1,3,72],[1,4,18],[1,5,18],[1,6,27],[2,3,30],[2,4,15],[2,5,81],[2,6,20],[3,4,43],[3,5,51],[3,6,2],[4,5,87],[4,6,45],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"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],[0,2,88],[0,3,26],[0,4,8],[0,5,16],[1,2,57],[1,3,72],[1,4,18],[1,5,18],[1,6,27],[2,3,30],[2,4,15],[2,5,81],[2,6,20],[3,4,43],[3,5,51],[3,6,2],[4,5,87],[4,6,45],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":60}",
"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],[0,2,88],[0,3,26],[0,4,8],[0,5,16],[1,2,57],[1,3,72],[1,4,18],[1,5,18],[1,6,27],[2,3,30],[2,4,15],[2,5,81],[2,6,20],[3,4,43],[3,5,51],[3,6,2],[4,5,87],[4,6,45],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (3,6)=2, w=3\",\"Add (0,4)=8, w=11\",\"Add (2,4)=15, w=26\",\"Add (0,5)=16, w=42\",\"Add (1,4)=18, w=60\"],\"Answer\":60}",
"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],[0,2,88],[0,3,26],[0,4,8],[0,5,16],[1,2,57],[1,3,72],[1,4,18],[1,5,18],[1,6,27],[2,3,30],[2,4,15],[2,5,81],[2,6,20],[3,4,43],[3,5,51],[3,6,2],[4,5,87],[4,6,45],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (3,6)=2 Succeeded, w=3\",\"Add (0,4)=8 Succeeded, w=11\",\"Add (2,4)=15 Succeeded, w=26\",\"Add (0,5)=16 Succeeded, w=42\",\"Add (1,4)=18 Succeeded, w=60\",\"Add (1,5)=18 Failed, w=60\",\"Add (2,6)=20 Failed, w=60\",\"Add (0,3)=26 Failed, w=60\",\"Add (1,6)=27 Failed, w=60\",\"Add (2,3)=30 Failed, w=60\",\"Add (3,4)=43 Failed, w=60\",\"Add (4,6)=45 Failed, w=60\",\"Add (3,5)=51 Failed, w=60\",\"Add (1,2)=57 Failed, w=60\",\"Add (1,3)=72 Failed, w=60\",\"Add (0,1)=73 Failed, w=60\",\"Add (2,5)=81 Failed, w=60\",\"Add (4,5)=87 Failed, w=60\",\"Add (0,2)=88 Failed, w=60\"],\"Answer\":60}",
"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],[0,2,88],[0,3,26],[0,4,8],[0,5,16],[1,2,57],[1,3,72],[1,4,18],[1,5,18],[1,6,27],[2,3,30],[2,4,15],[2,5,81],[2,6,20],[3,4,43],[3,5,51],[3,6,2],[4,5,87],[4,6,45],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(3,6)=2,(0,4)=8,(2,4)=15,(0,5)=16,(1,4)=18,(1,5)=18,(2,6)=20,(0,3)=26,(1,6)=27,(2,3)=30,(3,4)=43,(4,6)=45,(3,5)=51,(1,2)=57,(1,3)=72,(0,1)=73,(2,5)=81,(4,5)=87,(0,2)=88]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=5, Add (3,6)=2 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=11\",\"Find(2)=2, Find(4)=0, Add (2,4)=15 Succeeded, w=26\",\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=42\",\"Find(1)=1, Find(4)=0, Add (1,4)=18 Succeeded, w=60\",\"Find(1)=0, Find(5)=0, Add (1,5)=18 Failed, w=60\",\"Find(2)=0, Find(6)=0, Add (2,6)=20 Failed, w=60\",\"Find(0)=0, Find(3)=0, Add (0,3)=26 Failed, w=60\",\"Find(1)=0, Find(6)=0, Add (1,6)=27 Failed, w=60\",\"Find(2)=0, Find(3)=0, Add (2,3)=30 Failed, w=60\",\"Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=60\",\"Find(4)=0, Find(6)=0, Add (4,6)=45 Failed, w=60\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=60\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=60\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=60\",\"Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=60\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=60\",\"Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=60\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=60\"],\"Answer\":60}",
"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],[0,2,88],[0,3,26],[0,4,8],[0,5,16],[1,2,57],[1,3,72],[1,4,18],[1,5,18],[1,6,27],[2,3,30],[2,4,15],[2,5,81],[2,6,20],[3,4,43],[3,5,51],[3,6,2],[4,5,87],[4,6,45],[5,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(3,6)=2,(0,4)=8,(2,4)=15,(0,5)=16,(1,4)=18,(1,5)=18,(2,6)=20,(0,3)=26,(1,6)=27,(2,3)=30,(3,4)=43,(4,6)=45,(3,5)=51,(1,2)=57,(1,3)=72,(0,1)=73,(2,5)=81,(4,5)=87,(0,2)=88]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 5, 4: 0, 5: 5, 6: 5}, Find(2)=2, Find(4)=0, Add (2,4)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5}, Find(1)=1, Find(4)=0, Add (1,4)=18 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(5)=0, Add (1,5)=18 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=20 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=26 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=27 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=30 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=45 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,59],[0,2,78],[1,2,81],[1,3,24],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,78],[1,2,81],[1,3,24],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,78],[1,2,81],[1,3,24],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,78],[1,2,81],[1,3,24],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (1,3)=24, w=35\",\"Add (0,1)=59, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,78],[1,2,81],[1,3,24],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (1,3)=24 Succeeded, w=35\",\"Add (0,1)=59 Succeeded, w=94\",\"Add (0,2)=78 Failed, w=94\",\"Add (1,2)=81 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,78],[1,2,81],[1,3,24],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(1,3)=24,(0,1)=59,(0,2)=78,(1,2)=81]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=35\",\"Find(0)=0, Find(1)=2, Add (0,1)=59 Succeeded, w=94\",\"Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=94\",\"Find(1)=2, Find(2)=2, Add (1,2)=81 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,78],[1,2,81],[1,3,24],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(1,3)=24,(0,1)=59,(0,2)=78,(1,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=59 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=81 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,6],[0,3,6],[0,4,92],[0,5,92],[0,6,19],[0,7,62],[1,2,37],[1,3,94],[1,4,100],[1,7,70],[2,5,95],[2,6,5],[3,4,31],[3,5,77],[3,7,98],[4,5,50],[4,7,40],[5,6,27],[5,7,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,6],[0,4,92],[0,5,92],[0,6,19],[0,7,62],[1,2,37],[1,3,94],[1,4,100],[1,7,70],[2,5,95],[2,6,5],[3,4,31],[3,5,77],[3,7,98],[4,5,50],[4,7,40],[5,6,27],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,6],[0,4,92],[0,5,92],[0,6,19],[0,7,62],[1,2,37],[1,3,94],[1,4,100],[1,7,70],[2,5,95],[2,6,5],[3,4,31],[3,5,77],[3,7,98],[4,5,50],[4,7,40],[5,6,27],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (5,7)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,6],[0,4,92],[0,5,92],[0,6,19],[0,7,62],[1,2,37],[1,3,94],[1,4,100],[1,7,70],[2,5,95],[2,6,5],[3,4,31],[3,5,77],[3,7,98],[4,5,50],[4,7,40],[5,6,27],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5, w=5\",\"Add (0,2)=6, w=11\",\"Add (0,3)=6, w=17\",\"Add (5,7)=21, w=38\",\"Add (5,6)=27, w=65\",\"Add (3,4)=31, w=96\",\"Add (1,2)=37, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,6],[0,4,92],[0,5,92],[0,6,19],[0,7,62],[1,2,37],[1,3,94],[1,4,100],[1,7,70],[2,5,95],[2,6,5],[3,4,31],[3,5,77],[3,7,98],[4,5,50],[4,7,40],[5,6,27],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=5 Succeeded, w=5\",\"Add (0,2)=6 Succeeded, w=11\",\"Add (0,3)=6 Succeeded, w=17\",\"Add (0,6)=19 Failed, w=17\",\"Add (5,7)=21 Succeeded, w=38\",\"Add (5,6)=27 Succeeded, w=65\",\"Add (3,4)=31 Succeeded, w=96\",\"Add (1,2)=37 Succeeded, w=133\",\"Add (4,7)=40 Failed, w=133\",\"Add (4,5)=50 Failed, w=133\",\"Add (0,7)=62 Failed, w=133\",\"Add (1,7)=70 Failed, w=133\",\"Add (3,5)=77 Failed, w=133\",\"Add (0,4)=92 Failed, w=133\",\"Add (0,5)=92 Failed, w=133\",\"Add (1,3)=94 Failed, w=133\",\"Add (2,5)=95 Failed, w=133\",\"Add (3,7)=98 Failed, w=133\",\"Add (1,4)=100 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,6],[0,4,92],[0,5,92],[0,6,19],[0,7,62],[1,2,37],[1,3,94],[1,4,100],[1,7,70],[2,5,95],[2,6,5],[3,4,31],[3,5,77],[3,7,98],[4,5,50],[4,7,40],[5,6,27],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(0,2)=6,(0,3)=6,(0,6)=19,(5,7)=21,(5,6)=27,(3,4)=31,(1,2)=37,(4,7)=40,(4,5)=50,(0,7)=62,(1,7)=70,(3,5)=77,(0,4)=92,(0,5)=92,(1,3)=94,(2,5)=95,(3,7)=98,(1,4)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Find(0)=2, Find(3)=3, Add (0,3)=6 Succeeded, w=17\",\"Find(0)=2, Find(6)=2, Add (0,6)=19 Failed, w=17\",\"Find(5)=5, Find(7)=7, Add (5,7)=21 Succeeded, w=38\",\"Find(5)=5, Find(6)=2, Add (5,6)=27 Succeeded, w=65\",\"Find(3)=5, Find(4)=4, Add (3,4)=31 Succeeded, w=96\",\"Find(1)=1, Find(2)=5, Add (1,2)=37 Succeeded, w=133\",\"Find(4)=5, Find(7)=5, Add (4,7)=40 Failed, w=133\",\"Find(4)=5, Find(5)=5, Add (4,5)=50 Failed, w=133\",\"Find(0)=5, Find(7)=5, Add (0,7)=62 Failed, w=133\",\"Find(1)=5, Find(7)=5, Add (1,7)=70 Failed, w=133\",\"Find(3)=5, Find(5)=5, Add (3,5)=77 Failed, w=133\",\"Find(0)=5, Find(4)=5, Add (0,4)=92 Failed, w=133\",\"Find(0)=5, Find(5)=5, Add (0,5)=92 Failed, w=133\",\"Find(1)=5, Find(3)=5, Add (1,3)=94 Failed, w=133\",\"Find(2)=5, Find(5)=5, Add (2,5)=95 Failed, w=133\",\"Find(3)=5, Find(7)=5, Add (3,7)=98 Failed, w=133\",\"Find(1)=5, Find(4)=5, Add (1,4)=100 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,6],[0,4,92],[0,5,92],[0,6,19],[0,7,62],[1,2,37],[1,3,94],[1,4,100],[1,7,70],[2,5,95],[2,6,5],[3,4,31],[3,5,77],[3,7,98],[4,5,50],[4,7,40],[5,6,27],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=5,(0,2)=6,(0,3)=6,(0,6)=19,(5,7)=21,(5,6)=27,(3,4)=31,(1,2)=37,(4,7)=40,(4,5)=50,(0,7)=62,(1,7)=70,(3,5)=77,(0,4)=92,(0,5)=92,(1,3)=94,(2,5)=95,(3,7)=98,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 7}, Find(0)=2, Find(3)=3, Add (0,3)=6 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 7}, Find(0)=2, Find(6)=2, Add (0,6)=19 Failed, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=21 Succeeded, w=38\",\"Parent: {0: 2, 1: 1, 2: 5, 3: 2, 4: 4, 5: 5, 6: 2, 7: 5}, Find(5)=5, Find(6)=2, Add (5,6)=27 Succeeded, w=65\",\"Parent: {0: 2, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(3)=5, Find(4)=4, Add (3,4)=31 Succeeded, w=96\",\"Parent: {0: 2, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(1)=1, Find(2)=5, Add (1,2)=37 Succeeded, w=133\",\"Parent: {0: 2, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=40 Failed, w=133\",\"Parent: {0: 2, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=50 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=62 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=70 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=77 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=92 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=92 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(1)=5, Find(3)=5, Add (1,3)=94 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=95 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=98 Failed, w=133\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 2, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=100 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,89],[1,2,93],[1,3,72],[1,4,54],[2,3,43],[2,4,97],[3,4,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[1,2,93],[1,3,72],[1,4,54],[2,3,43],[2,4,97],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[1,2,93],[1,3,72],[1,4,54],[2,3,43],[2,4,97],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[1,2,93],[1,3,72],[1,4,54],[2,3,43],[2,4,97],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=43, w=43\",\"Add (3,4)=51, w=94\",\"Add (1,4)=54, w=148\",\"Add (0,2)=89, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[1,2,93],[1,3,72],[1,4,54],[2,3,43],[2,4,97],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=43 Succeeded, w=43\",\"Add (3,4)=51 Succeeded, w=94\",\"Add (1,4)=54 Succeeded, w=148\",\"Add (1,3)=72 Failed, w=148\",\"Add (0,2)=89 Succeeded, w=237\",\"Add (1,2)=93 Failed, w=237\",\"Add (2,4)=97 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[1,2,93],[1,3,72],[1,4,54],[2,3,43],[2,4,97],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=43,(3,4)=51,(1,4)=54,(1,3)=72,(0,2)=89,(1,2)=93,(2,4)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=43 Succeeded, w=43\",\"Find(3)=2, Find(4)=4, Add (3,4)=51 Succeeded, w=94\",\"Find(1)=1, Find(4)=2, Add (1,4)=54 Succeeded, w=148\",\"Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=148\",\"Find(0)=0, Find(2)=2, Add (0,2)=89 Succeeded, w=237\",\"Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=237\",\"Find(2)=2, Find(4)=2, Add (2,4)=97 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[1,2,93],[1,3,72],[1,4,54],[2,3,43],[2,4,97],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=43,(3,4)=51,(1,4)=54,(1,3)=72,(0,2)=89,(1,2)=93,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=43 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=51 Succeeded, w=94\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=54 Succeeded, w=148\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=89 Succeeded, w=237\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=237\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=97 Failed, w=237\"],\"Answer\":237}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,8],[0,4,29],[1,2,17],[1,3,37],[2,3,41],[3,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,8],[0,4,29],[1,2,17],[1,3,37],[2,3,41],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,8],[0,4,29],[1,2,17],[1,3,37],[2,3,41],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,8],[0,4,29],[1,2,17],[1,3,37],[2,3,41],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (1,2)=17, w=25\",\"Add (0,4)=29, w=54\",\"Add (1,3)=37, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,8],[0,4,29],[1,2,17],[1,3,37],[2,3,41],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (1,2)=17 Succeeded, w=25\",\"Add (0,4)=29 Succeeded, w=54\",\"Add (1,3)=37 Succeeded, w=91\",\"Add (2,3)=41 Failed, w=91\",\"Add (3,4)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,8],[0,4,29],[1,2,17],[1,3,37],[2,3,41],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,2)=17,(0,4)=29,(1,3)=37,(2,3)=41,(3,4)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=25\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=54\",\"Find(1)=1, Find(3)=0, Add (1,3)=37 Succeeded, w=91\",\"Find(2)=1, Find(3)=1, Add (2,3)=41 Failed, w=91\",\"Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,8],[0,4,29],[1,2,17],[1,3,37],[2,3,41],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,2)=17,(0,4)=29,(1,3)=37,(2,3)=41,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=37 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=1, Add (2,3)=41 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,2,42],[0,3,1],[1,2,61],[1,3,10],[2,3,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,42],[0,3,1],[1,2,61],[1,3,10],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":18}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,42],[0,3,1],[1,2,61],[1,3,10],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":18}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,42],[0,3,1],[1,2,61],[1,3,10],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (2,3)=7, w=8\",\"Add (1,3)=10, w=18\"],\"Answer\":18}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,42],[0,3,1],[1,2,61],[1,3,10],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (2,3)=7 Succeeded, w=8\",\"Add (1,3)=10 Succeeded, w=18\",\"Add (0,1)=11 Failed, w=18\",\"Add (0,2)=42 Failed, w=18\",\"Add (1,2)=61 Failed, w=18\"],\"Answer\":18}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,42],[0,3,1],[1,2,61],[1,3,10],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,3)=7,(1,3)=10,(0,1)=11,(0,2)=42,(1,2)=61]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=0, Add (2,3)=7 Succeeded, w=8\",\"Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=18\",\"Find(0)=0, Find(1)=0, Add (0,1)=11 Failed, w=18\",\"Find(0)=0, Find(2)=0, Add (0,2)=42 Failed, w=18\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=18\"],\"Answer\":18}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,42],[0,3,1],[1,2,61],[1,3,10],[2,3,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,3)=7,(1,3)=10,(0,1)=11,(0,2)=42,(1,2)=61]\",\"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(2)=2, Find(3)=0, Add (2,3)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=11 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=42 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=18\"],\"Answer\":18}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,24],[0,4,100],[1,3,37],[1,4,40],[2,3,92],[2,4,2],[3,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,4,100],[1,3,37],[1,4,40],[2,3,92],[2,4,2],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,4,100],[1,3,37],[1,4,40],[2,3,92],[2,4,2],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,4,100],[1,3,37],[1,4,40],[2,3,92],[2,4,2],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (3,4)=3, w=5\",\"Add (0,1)=24, w=29\",\"Add (1,3)=37, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,4,100],[1,3,37],[1,4,40],[2,3,92],[2,4,2],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (3,4)=3 Succeeded, w=5\",\"Add (0,1)=24 Succeeded, w=29\",\"Add (1,3)=37 Succeeded, w=66\",\"Add (1,4)=40 Failed, w=66\",\"Add (2,3)=92 Failed, w=66\",\"Add (0,4)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,4,100],[1,3,37],[1,4,40],[2,3,92],[2,4,2],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(3,4)=3,(0,1)=24,(1,3)=37,(1,4)=40,(2,3)=92,(0,4)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=2, Add (3,4)=3 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=29\",\"Find(1)=0, Find(3)=2, Add (1,3)=37 Succeeded, w=66\",\"Find(1)=0, Find(4)=0, Add (1,4)=40 Failed, w=66\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=66\",\"Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,4,100],[1,3,37],[1,4,40],[2,3,92],[2,4,2],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(3,4)=3,(0,1)=24,(1,3)=37,(1,4)=40,(2,3)=92,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(3)=2, Add (1,3)=37 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=40 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,7],[0,2,67],[0,3,91],[0,5,83],[0,6,33],[1,3,88],[1,4,31],[1,5,66],[1,6,46],[2,5,48],[2,6,69],[3,4,45],[3,5,33],[3,6,86],[4,5,6],[4,6,84],[5,6,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,67],[0,3,91],[0,5,83],[0,6,33],[1,3,88],[1,4,31],[1,5,66],[1,6,46],[2,5,48],[2,6,69],[3,4,45],[3,5,33],[3,6,86],[4,5,6],[4,6,84],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"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],[0,2,67],[0,3,91],[0,5,83],[0,6,33],[1,3,88],[1,4,31],[1,5,66],[1,6,46],[2,5,48],[2,6,69],[3,4,45],[3,5,33],[3,6,86],[4,5,6],[4,6,84],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (2,5)\"],\"Answer\":158}",
"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],[0,2,67],[0,3,91],[0,5,83],[0,6,33],[1,3,88],[1,4,31],[1,5,66],[1,6,46],[2,5,48],[2,6,69],[3,4,45],[3,5,33],[3,6,86],[4,5,6],[4,6,84],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=6, w=6\",\"Add (0,1)=7, w=13\",\"Add (1,4)=31, w=44\",\"Add (0,6)=33, w=77\",\"Add (3,5)=33, w=110\",\"Add (2,5)=48, w=158\"],\"Answer\":158}",
"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],[0,2,67],[0,3,91],[0,5,83],[0,6,33],[1,3,88],[1,4,31],[1,5,66],[1,6,46],[2,5,48],[2,6,69],[3,4,45],[3,5,33],[3,6,86],[4,5,6],[4,6,84],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=6 Succeeded, w=6\",\"Add (0,1)=7 Succeeded, w=13\",\"Add (1,4)=31 Succeeded, w=44\",\"Add (0,6)=33 Succeeded, w=77\",\"Add (3,5)=33 Succeeded, w=110\",\"Add (3,4)=45 Failed, w=110\",\"Add (1,6)=46 Failed, w=110\",\"Add (2,5)=48 Succeeded, w=158\",\"Add (5,6)=58 Failed, w=158\",\"Add (1,5)=66 Failed, w=158\",\"Add (0,2)=67 Failed, w=158\",\"Add (2,6)=69 Failed, w=158\",\"Add (0,5)=83 Failed, w=158\",\"Add (4,6)=84 Failed, w=158\",\"Add (3,6)=86 Failed, w=158\",\"Add (1,3)=88 Failed, w=158\",\"Add (0,3)=91 Failed, w=158\"],\"Answer\":158}",
"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],[0,2,67],[0,3,91],[0,5,83],[0,6,33],[1,3,88],[1,4,31],[1,5,66],[1,6,46],[2,5,48],[2,6,69],[3,4,45],[3,5,33],[3,6,86],[4,5,6],[4,6,84],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=6,(0,1)=7,(1,4)=31,(0,6)=33,(3,5)=33,(3,4)=45,(1,6)=46,(2,5)=48,(5,6)=58,(1,5)=66,(0,2)=67,(2,6)=69,(0,5)=83,(4,6)=84,(3,6)=86,(1,3)=88,(0,3)=91]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=13\",\"Find(1)=0, Find(4)=4, Add (1,4)=31 Succeeded, w=44\",\"Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=77\",\"Find(3)=3, Find(5)=0, Add (3,5)=33 Succeeded, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=110\",\"Find(1)=0, Find(6)=0, Add (1,6)=46 Failed, w=110\",\"Find(2)=2, Find(5)=0, Add (2,5)=48 Succeeded, w=158\",\"Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=158\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=158\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=158\",\"Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=158\",\"Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=158\",\"Find(4)=0, Find(6)=0, Add (4,6)=84 Failed, w=158\",\"Find(3)=0, Find(6)=0, Add (3,6)=86 Failed, w=158\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=158\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=158\"],\"Answer\":158}",
"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],[0,2,67],[0,3,91],[0,5,83],[0,6,33],[1,3,88],[1,4,31],[1,5,66],[1,6,46],[2,5,48],[2,6,69],[3,4,45],[3,5,33],[3,6,86],[4,5,6],[4,6,84],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=6,(0,1)=7,(1,4)=31,(0,6)=33,(3,5)=33,(3,4)=45,(1,6)=46,(2,5)=48,(5,6)=58,(1,5)=66,(0,2)=67,(2,6)=69,(0,5)=83,(4,6)=84,(3,6)=86,(1,3)=88,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(4)=4, Add (1,4)=31 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=33 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(5)=0, Add (3,5)=33 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=46 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(5)=0, Add (2,5)=48 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=84 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=86 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,59],[0,2,42],[0,3,66],[1,2,12],[1,3,63],[2,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,42],[0,3,66],[1,2,12],[1,3,63],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,42],[0,3,66],[1,2,12],[1,3,63],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,42],[0,3,66],[1,2,12],[1,3,63],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (0,2)=42, w=54\",\"Add (2,3)=55, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,42],[0,3,66],[1,2,12],[1,3,63],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (0,2)=42 Succeeded, w=54\",\"Add (2,3)=55 Succeeded, w=109\",\"Add (0,1)=59 Failed, w=109\",\"Add (1,3)=63 Failed, w=109\",\"Add (0,3)=66 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,42],[0,3,66],[1,2,12],[1,3,63],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,2)=42,(2,3)=55,(0,1)=59,(1,3)=63,(0,3)=66]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=1, Add (0,2)=42 Succeeded, w=54\",\"Find(2)=1, Find(3)=3, Add (2,3)=55 Succeeded, w=109\",\"Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=109\",\"Find(1)=1, Find(3)=1, Add (1,3)=63 Failed, w=109\",\"Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,42],[0,3,66],[1,2,12],[1,3,63],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,2)=42,(2,3)=55,(0,1)=59,(1,3)=63,(0,3)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=42 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=55 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=63 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,88],[0,2,34],[0,3,71],[0,4,55],[0,5,88],[1,2,91],[1,3,85],[2,5,0],[3,4,65],[3,5,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,34],[0,3,71],[0,4,55],[0,5,88],[1,2,91],[1,3,85],[2,5,0],[3,4,65],[3,5,81]]}",
"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],\"edges\":[[0,1,88],[0,2,34],[0,3,71],[0,4,55],[0,5,88],[1,2,91],[1,3,85],[2,5,0],[3,4,65],[3,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,34],[0,3,71],[0,4,55],[0,5,88],[1,2,91],[1,3,85],[2,5,0],[3,4,65],[3,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (0,2)=34, w=34\",\"Add (0,4)=55, w=89\",\"Add (3,4)=65, w=154\",\"Add (1,3)=85, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,34],[0,3,71],[0,4,55],[0,5,88],[1,2,91],[1,3,85],[2,5,0],[3,4,65],[3,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (0,2)=34 Succeeded, w=34\",\"Add (0,4)=55 Succeeded, w=89\",\"Add (3,4)=65 Succeeded, w=154\",\"Add (0,3)=71 Failed, w=154\",\"Add (3,5)=81 Failed, w=154\",\"Add (1,3)=85 Succeeded, w=239\",\"Add (0,1)=88 Failed, w=239\",\"Add (0,5)=88 Failed, w=239\",\"Add (1,2)=91 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],\"edges\":[[0,1,88],[0,2,34],[0,3,71],[0,4,55],[0,5,88],[1,2,91],[1,3,85],[2,5,0],[3,4,65],[3,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,2)=34,(0,4)=55,(3,4)=65,(0,3)=71,(3,5)=81,(1,3)=85,(0,1)=88,(0,5)=88,(1,2)=91]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=34\",\"Find(0)=2, Find(4)=4, Add (0,4)=55 Succeeded, w=89\",\"Find(3)=3, Find(4)=2, Add (3,4)=65 Succeeded, w=154\",\"Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=154\",\"Find(3)=2, Find(5)=2, Add (3,5)=81 Failed, w=154\",\"Find(1)=1, Find(3)=2, Add (1,3)=85 Succeeded, w=239\",\"Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=239\",\"Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=239\",\"Find(1)=2, Find(2)=2, Add (1,2)=91 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],\"edges\":[[0,1,88],[0,2,34],[0,3,71],[0,4,55],[0,5,88],[1,2,91],[1,3,85],[2,5,0],[3,4,65],[3,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,2)=34,(0,4)=55,(3,4)=65,(0,3)=71,(3,5)=81,(1,3)=85,(0,1)=88,(0,5)=88,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(4)=4, Add (0,4)=55 Succeeded, w=89\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=65 Succeeded, w=154\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=154\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=81 Failed, w=154\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=85 Succeeded, w=239\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=88 Failed, w=239\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=88 Failed, w=239\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,2,94],[0,3,94],[0,4,76],[1,3,59],[1,4,29],[2,3,6],[2,4,30],[3,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,94],[0,3,94],[0,4,76],[1,3,59],[1,4,29],[2,3,6],[2,4,30],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,94],[0,3,94],[0,4,76],[1,3,59],[1,4,29],[2,3,6],[2,4,30],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,94],[0,3,94],[0,4,76],[1,3,59],[1,4,29],[2,3,6],[2,4,30],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (3,4)=21, w=27\",\"Add (1,4)=29, w=56\",\"Add (0,1)=76, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,94],[0,3,94],[0,4,76],[1,3,59],[1,4,29],[2,3,6],[2,4,30],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (3,4)=21 Succeeded, w=27\",\"Add (1,4)=29 Succeeded, w=56\",\"Add (2,4)=30 Failed, w=56\",\"Add (1,3)=59 Failed, w=56\",\"Add (0,1)=76 Succeeded, w=132\",\"Add (0,4)=76 Failed, w=132\",\"Add (0,2)=94 Failed, w=132\",\"Add (0,3)=94 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,94],[0,3,94],[0,4,76],[1,3,59],[1,4,29],[2,3,6],[2,4,30],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(3,4)=21,(1,4)=29,(2,4)=30,(1,3)=59,(0,1)=76,(0,4)=76,(0,2)=94,(0,3)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(3)=2, Find(4)=4, Add (3,4)=21 Succeeded, w=27\",\"Find(1)=1, Find(4)=2, Add (1,4)=29 Succeeded, w=56\",\"Find(2)=2, Find(4)=2, Add (2,4)=30 Failed, w=56\",\"Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=56\",\"Find(0)=0, Find(1)=2, Add (0,1)=76 Succeeded, w=132\",\"Find(0)=2, Find(4)=2, Add (0,4)=76 Failed, w=132\",\"Find(0)=2, Find(2)=2, Add (0,2)=94 Failed, w=132\",\"Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,94],[0,3,94],[0,4,76],[1,3,59],[1,4,29],[2,3,6],[2,4,30],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(3,4)=21,(1,4)=29,(2,4)=30,(1,3)=59,(0,1)=76,(0,4)=76,(0,2)=94,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=21 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=29 Succeeded, w=56\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=30 Failed, w=56\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=76 Succeeded, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=76 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=94 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,71],[0,2,51],[0,3,3],[0,4,73],[1,2,41],[1,3,62],[1,4,87],[2,3,44],[2,4,34],[3,4,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,51],[0,3,3],[0,4,73],[1,2,41],[1,3,62],[1,4,87],[2,3,44],[2,4,34],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,51],[0,3,3],[0,4,73],[1,2,41],[1,3,62],[1,4,87],[2,3,44],[2,4,34],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,51],[0,3,3],[0,4,73],[1,2,41],[1,3,62],[1,4,87],[2,3,44],[2,4,34],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (2,4)=34, w=37\",\"Add (1,2)=41, w=78\",\"Add (2,3)=44, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,51],[0,3,3],[0,4,73],[1,2,41],[1,3,62],[1,4,87],[2,3,44],[2,4,34],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (2,4)=34 Succeeded, w=37\",\"Add (1,2)=41 Succeeded, w=78\",\"Add (2,3)=44 Succeeded, w=122\",\"Add (0,2)=51 Failed, w=122\",\"Add (1,3)=62 Failed, w=122\",\"Add (0,1)=71 Failed, w=122\",\"Add (0,4)=73 Failed, w=122\",\"Add (1,4)=87 Failed, w=122\",\"Add (3,4)=89 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,51],[0,3,3],[0,4,73],[1,2,41],[1,3,62],[1,4,87],[2,3,44],[2,4,34],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(2,4)=34,(1,2)=41,(2,3)=44,(0,2)=51,(1,3)=62,(0,1)=71,(0,4)=73,(1,4)=87,(3,4)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=37\",\"Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=78\",\"Find(2)=2, Find(3)=0, Add (2,3)=44 Succeeded, w=122\",\"Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=122\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=122\",\"Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=122\",\"Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=122\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=122\",\"Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,51],[0,3,3],[0,4,73],[1,2,41],[1,3,62],[1,4,87],[2,3,44],[2,4,34],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(2,4)=34,(1,2)=41,(2,3)=44,(0,2)=51,(1,3)=62,(0,1)=71,(0,4)=73,(1,4)=87,(3,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=34 Succeeded, w=37\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=44 Succeeded, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,29],[0,2,50],[0,6,96],[1,2,65],[1,3,75],[1,4,80],[1,5,20],[1,6,12],[2,3,14],[2,5,28],[3,4,49],[3,5,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,50],[0,6,96],[1,2,65],[1,3,75],[1,4,80],[1,5,20],[1,6,12],[2,3,14],[2,5,28],[3,4,49],[3,5,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,50],[0,6,96],[1,2,65],[1,3,75],[1,4,80],[1,5,20],[1,6,12],[2,3,14],[2,5,28],[3,4,49],[3,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,6)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,50],[0,6,96],[1,2,65],[1,3,75],[1,4,80],[1,5,20],[1,6,12],[2,3,14],[2,5,28],[3,4,49],[3,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10, w=10\",\"Add (1,6)=12, w=22\",\"Add (2,3)=14, w=36\",\"Add (1,5)=20, w=56\",\"Add (0,1)=29, w=85\",\"Add (3,4)=49, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,50],[0,6,96],[1,2,65],[1,3,75],[1,4,80],[1,5,20],[1,6,12],[2,3,14],[2,5,28],[3,4,49],[3,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10 Succeeded, w=10\",\"Add (1,6)=12 Succeeded, w=22\",\"Add (2,3)=14 Succeeded, w=36\",\"Add (1,5)=20 Succeeded, w=56\",\"Add (2,5)=28 Failed, w=56\",\"Add (0,1)=29 Succeeded, w=85\",\"Add (3,4)=49 Succeeded, w=134\",\"Add (0,2)=50 Failed, w=134\",\"Add (1,2)=65 Failed, w=134\",\"Add (1,3)=75 Failed, w=134\",\"Add (1,4)=80 Failed, w=134\",\"Add (0,6)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,50],[0,6,96],[1,2,65],[1,3,75],[1,4,80],[1,5,20],[1,6,12],[2,3,14],[2,5,28],[3,4,49],[3,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(1,6)=12,(2,3)=14,(1,5)=20,(2,5)=28,(0,1)=29,(3,4)=49,(0,2)=50,(1,2)=65,(1,3)=75,(1,4)=80,(0,6)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=22\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=36\",\"Find(1)=1, Find(5)=3, Add (1,5)=20 Succeeded, w=56\",\"Find(2)=1, Find(5)=1, Add (2,5)=28 Failed, w=56\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=85\",\"Find(3)=1, Find(4)=4, Add (3,4)=49 Succeeded, w=134\",\"Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=134\",\"Find(1)=1, Find(2)=1, Add (1,2)=65 Failed, w=134\",\"Find(1)=1, Find(3)=1, Add (1,3)=75 Failed, w=134\",\"Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=134\",\"Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,50],[0,6,96],[1,2,65],[1,3,75],[1,4,80],[1,5,20],[1,6,12],[2,3,14],[2,5,28],[3,4,49],[3,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(1,6)=12,(2,3)=14,(1,5)=20,(2,5)=28,(0,1)=29,(3,4)=49,(0,2)=50,(1,2)=65,(1,3)=75,(1,4)=80,(0,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 1}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 1, 4: 4, 5: 3, 6: 1}, Find(1)=1, Find(5)=3, Add (1,5)=20 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=28 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=4, Add (3,4)=49 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=65 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=75 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,76],[0,3,66],[0,4,35],[1,2,70],[1,3,24],[1,4,62],[2,3,11],[2,4,13],[3,4,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,66],[0,4,35],[1,2,70],[1,3,24],[1,4,62],[2,3,11],[2,4,13],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,66],[0,4,35],[1,2,70],[1,3,24],[1,4,62],[2,3,11],[2,4,13],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,66],[0,4,35],[1,2,70],[1,3,24],[1,4,62],[2,3,11],[2,4,13],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (2,4)=13, w=24\",\"Add (1,3)=24, w=48\",\"Add (0,4)=35, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,66],[0,4,35],[1,2,70],[1,3,24],[1,4,62],[2,3,11],[2,4,13],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (2,4)=13 Succeeded, w=24\",\"Add (1,3)=24 Succeeded, w=48\",\"Add (0,4)=35 Succeeded, w=83\",\"Add (1,4)=62 Failed, w=83\",\"Add (0,3)=66 Failed, w=83\",\"Add (1,2)=70 Failed, w=83\",\"Add (0,2)=76 Failed, w=83\",\"Add (3,4)=93 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,66],[0,4,35],[1,2,70],[1,3,24],[1,4,62],[2,3,11],[2,4,13],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(2,4)=13,(1,3)=24,(0,4)=35,(1,4)=62,(0,3)=66,(1,2)=70,(0,2)=76,(3,4)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=24\",\"Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=48\",\"Find(0)=0, Find(4)=2, Add (0,4)=35 Succeeded, w=83\",\"Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=83\",\"Find(0)=2, Find(3)=2, Add (0,3)=66 Failed, w=83\",\"Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=83\",\"Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=83\",\"Find(3)=2, Find(4)=2, Add (3,4)=93 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,76],[0,3,66],[0,4,35],[1,2,70],[1,3,24],[1,4,62],[2,3,11],[2,4,13],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(2,4)=13,(1,3)=24,(0,4)=35,(1,4)=62,(0,3)=66,(1,2)=70,(0,2)=76,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=35 Succeeded, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=66 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=93 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,87],[0,3,34],[0,4,49],[1,2,39],[1,3,1],[1,4,86],[2,3,26],[2,4,8],[3,4,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,34],[0,4,49],[1,2,39],[1,3,1],[1,4,86],[2,3,26],[2,4,8],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,34],[0,4,49],[1,2,39],[1,3,1],[1,4,86],[2,3,26],[2,4,8],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,34],[0,4,49],[1,2,39],[1,3,1],[1,4,86],[2,3,26],[2,4,8],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (2,4)=8, w=9\",\"Add (2,3)=26, w=35\",\"Add (0,3)=34, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,34],[0,4,49],[1,2,39],[1,3,1],[1,4,86],[2,3,26],[2,4,8],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (2,4)=8 Succeeded, w=9\",\"Add (2,3)=26 Succeeded, w=35\",\"Add (0,3)=34 Succeeded, w=69\",\"Add (1,2)=39 Failed, w=69\",\"Add (0,4)=49 Failed, w=69\",\"Add (3,4)=69 Failed, w=69\",\"Add (1,4)=86 Failed, w=69\",\"Add (0,2)=87 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,34],[0,4,49],[1,2,39],[1,3,1],[1,4,86],[2,3,26],[2,4,8],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(2,4)=8,(2,3)=26,(0,3)=34,(1,2)=39,(0,4)=49,(3,4)=69,(1,4)=86,(0,2)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=9\",\"Find(2)=2, Find(3)=1, Add (2,3)=26 Succeeded, w=35\",\"Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=69\",\"Find(1)=2, Find(2)=2, Add (1,2)=39 Failed, w=69\",\"Find(0)=2, Find(4)=2, Add (0,4)=49 Failed, w=69\",\"Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=69\",\"Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=69\",\"Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,87],[0,3,34],[0,4,49],[1,2,39],[1,3,1],[1,4,86],[2,3,26],[2,4,8],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(2,4)=8,(2,3)=26,(0,3)=34,(1,2)=39,(0,4)=49,(3,4)=69,(1,4)=86,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=26 Succeeded, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=39 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=49 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=69\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,2,50],[1,4,37],[2,3,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,50],[1,4,37],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,50],[1,4,37],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,50],[1,4,37],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=37, w=37\",\"Add (1,2)=50, w=87\",\"Add (2,3)=57, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,50],[1,4,37],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=37 Succeeded, w=37\",\"Add (1,2)=50 Succeeded, w=87\",\"Add (2,3)=57 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,50],[1,4,37],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=37,(1,2)=50,(2,3)=57]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=37 Succeeded, w=37\",\"Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=87\",\"Find(2)=1, Find(3)=3, Add (2,3)=57 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,50],[1,4,37],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=37,(1,2)=50,(2,3)=57]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=37 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=87\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=3, Add (2,3)=57 Succeeded, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,11],[0,2,65],[0,3,74],[0,4,45],[1,2,31],[1,3,50],[2,3,67],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,65],[0,3,74],[0,4,45],[1,2,31],[1,3,50],[2,3,67],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,65],[0,3,74],[0,4,45],[1,2,31],[1,3,50],[2,3,67],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,65],[0,3,74],[0,4,45],[1,2,31],[1,3,50],[2,3,67],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (3,4)=11, w=22\",\"Add (1,2)=31, w=53\",\"Add (0,4)=45, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,65],[0,3,74],[0,4,45],[1,2,31],[1,3,50],[2,3,67],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (3,4)=11 Succeeded, w=22\",\"Add (1,2)=31 Succeeded, w=53\",\"Add (0,4)=45 Succeeded, w=98\",\"Add (1,3)=50 Failed, w=98\",\"Add (0,2)=65 Failed, w=98\",\"Add (2,3)=67 Failed, w=98\",\"Add (0,3)=74 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,65],[0,3,74],[0,4,45],[1,2,31],[1,3,50],[2,3,67],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(3,4)=11,(1,2)=31,(0,4)=45,(1,3)=50,(0,2)=65,(2,3)=67,(0,3)=74]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=22\",\"Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=53\",\"Find(0)=0, Find(4)=3, Add (0,4)=45 Succeeded, w=98\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=98\",\"Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=98\",\"Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=98\",\"Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,65],[0,3,74],[0,4,45],[1,2,31],[1,3,50],[2,3,67],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(3,4)=11,(1,2)=31,(0,4)=45,(1,3)=50,(0,2)=65,(2,3)=67,(0,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=45 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,48],[0,2,49],[0,3,83],[0,4,37],[0,5,86],[0,6,66],[0,7,75],[1,2,7],[1,5,18],[1,6,32],[1,7,65],[2,3,21],[2,5,81],[2,6,7],[3,4,52],[3,5,78],[4,6,21],[5,6,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,49],[0,3,83],[0,4,37],[0,5,86],[0,6,66],[0,7,75],[1,2,7],[1,5,18],[1,6,32],[1,7,65],[2,3,21],[2,5,81],[2,6,7],[3,4,52],[3,5,78],[4,6,21],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,49],[0,3,83],[0,4,37],[0,5,86],[0,6,66],[0,7,75],[1,2,7],[1,5,18],[1,6,32],[1,7,65],[2,3,21],[2,5,81],[2,6,7],[3,4,52],[3,5,78],[4,6,21],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,6)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (1,7)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,49],[0,3,83],[0,4,37],[0,5,86],[0,6,66],[0,7,75],[1,2,7],[1,5,18],[1,6,32],[1,7,65],[2,3,21],[2,5,81],[2,6,7],[3,4,52],[3,5,78],[4,6,21],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7, w=7\",\"Add (2,6)=7, w=14\",\"Add (1,5)=18, w=32\",\"Add (2,3)=21, w=53\",\"Add (4,6)=21, w=74\",\"Add (0,4)=37, w=111\",\"Add (1,7)=65, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,49],[0,3,83],[0,4,37],[0,5,86],[0,6,66],[0,7,75],[1,2,7],[1,5,18],[1,6,32],[1,7,65],[2,3,21],[2,5,81],[2,6,7],[3,4,52],[3,5,78],[4,6,21],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7 Succeeded, w=7\",\"Add (2,6)=7 Succeeded, w=14\",\"Add (1,5)=18 Succeeded, w=32\",\"Add (2,3)=21 Succeeded, w=53\",\"Add (4,6)=21 Succeeded, w=74\",\"Add (1,6)=32 Failed, w=74\",\"Add (0,4)=37 Succeeded, w=111\",\"Add (0,1)=48 Failed, w=111\",\"Add (0,2)=49 Failed, w=111\",\"Add (3,4)=52 Failed, w=111\",\"Add (5,6)=63 Failed, w=111\",\"Add (1,7)=65 Succeeded, w=176\",\"Add (0,6)=66 Failed, w=176\",\"Add (0,7)=75 Failed, w=176\",\"Add (3,5)=78 Failed, w=176\",\"Add (2,5)=81 Failed, w=176\",\"Add (0,3)=83 Failed, w=176\",\"Add (0,5)=86 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,49],[0,3,83],[0,4,37],[0,5,86],[0,6,66],[0,7,75],[1,2,7],[1,5,18],[1,6,32],[1,7,65],[2,3,21],[2,5,81],[2,6,7],[3,4,52],[3,5,78],[4,6,21],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(2,6)=7,(1,5)=18,(2,3)=21,(4,6)=21,(1,6)=32,(0,4)=37,(0,1)=48,(0,2)=49,(3,4)=52,(5,6)=63,(1,7)=65,(0,6)=66,(0,7)=75,(3,5)=78,(2,5)=81,(0,3)=83,(0,5)=86]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Find(2)=1, Find(6)=6, Add (2,6)=7 Succeeded, w=14\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=32\",\"Find(2)=1, Find(3)=3, Add (2,3)=21 Succeeded, w=53\",\"Find(4)=4, Find(6)=1, Add (4,6)=21 Succeeded, w=74\",\"Find(1)=1, Find(6)=1, Add (1,6)=32 Failed, w=74\",\"Find(0)=0, Find(4)=1, Add (0,4)=37 Succeeded, w=111\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=111\",\"Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=111\",\"Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=111\",\"Find(5)=1, Find(6)=1, Add (5,6)=63 Failed, w=111\",\"Find(1)=1, Find(7)=7, Add (1,7)=65 Succeeded, w=176\",\"Find(0)=1, Find(6)=1, Add (0,6)=66 Failed, w=176\",\"Find(0)=1, Find(7)=1, Add (0,7)=75 Failed, w=176\",\"Find(3)=1, Find(5)=1, Add (3,5)=78 Failed, w=176\",\"Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=176\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=176\",\"Find(0)=1, Find(5)=1, Add (0,5)=86 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,49],[0,3,83],[0,4,37],[0,5,86],[0,6,66],[0,7,75],[1,2,7],[1,5,18],[1,6,32],[1,7,65],[2,3,21],[2,5,81],[2,6,7],[3,4,52],[3,5,78],[4,6,21],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(2,6)=7,(1,5)=18,(2,3)=21,(4,6)=21,(1,6)=32,(0,4)=37,(0,1)=48,(0,2)=49,(3,4)=52,(5,6)=63,(1,7)=65,(0,6)=66,(0,7)=75,(3,5)=78,(2,5)=81,(0,3)=83,(0,5)=86]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(2)=1, Find(6)=6, Add (2,6)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(3)=3, Add (2,3)=21 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=4, Find(6)=1, Add (4,6)=21 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(6)=1, Add (1,6)=32 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=0, Find(4)=1, Add (0,4)=37 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(5)=1, Find(6)=1, Add (5,6)=63 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=65 Succeeded, w=176\",\"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)=66 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=75 Failed, w=176\",\"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)=78 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=176\",\"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)=83 Failed, w=176\",\"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)=86 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,76],[0,4,52],[0,5,55],[0,6,68],[1,3,23],[1,4,23],[1,6,87],[2,4,84],[2,6,42],[3,5,83],[4,5,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,76],[0,4,52],[0,5,55],[0,6,68],[1,3,23],[1,4,23],[1,6,87],[2,4,84],[2,6,42],[3,5,83],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,76],[0,4,52],[0,5,55],[0,6,68],[1,3,23],[1,4,23],[1,6,87],[2,4,84],[2,6,42],[3,5,83],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (0,6)\"],\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,76],[0,4,52],[0,5,55],[0,6,68],[1,3,23],[1,4,23],[1,6,87],[2,4,84],[2,6,42],[3,5,83],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=23, w=23\",\"Add (1,4)=23, w=46\",\"Add (2,6)=42, w=88\",\"Add (0,4)=52, w=140\",\"Add (0,5)=55, w=195\",\"Add (0,6)=68, w=263\"],\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,76],[0,4,52],[0,5,55],[0,6,68],[1,3,23],[1,4,23],[1,6,87],[2,4,84],[2,6,42],[3,5,83],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=23 Succeeded, w=23\",\"Add (1,4)=23 Succeeded, w=46\",\"Add (2,6)=42 Succeeded, w=88\",\"Add (0,4)=52 Succeeded, w=140\",\"Add (0,5)=55 Succeeded, w=195\",\"Add (0,6)=68 Succeeded, w=263\",\"Add (0,2)=76 Failed, w=263\",\"Add (3,5)=83 Failed, w=263\",\"Add (2,4)=84 Failed, w=263\",\"Add (1,6)=87 Failed, w=263\",\"Add (4,5)=88 Failed, w=263\"],\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,76],[0,4,52],[0,5,55],[0,6,68],[1,3,23],[1,4,23],[1,6,87],[2,4,84],[2,6,42],[3,5,83],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=23,(1,4)=23,(2,6)=42,(0,4)=52,(0,5)=55,(0,6)=68,(0,2)=76,(3,5)=83,(2,4)=84,(1,6)=87,(4,5)=88]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=46\",\"Find(2)=2, Find(6)=6, Add (2,6)=42 Succeeded, w=88\",\"Find(0)=0, Find(4)=1, Add (0,4)=52 Succeeded, w=140\",\"Find(0)=1, Find(5)=5, Add (0,5)=55 Succeeded, w=195\",\"Find(0)=1, Find(6)=2, Add (0,6)=68 Succeeded, w=263\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=263\",\"Find(3)=1, Find(5)=1, Add (3,5)=83 Failed, w=263\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=263\",\"Find(1)=1, Find(6)=1, Add (1,6)=87 Failed, w=263\",\"Find(4)=1, Find(5)=1, Add (4,5)=88 Failed, w=263\"],\"Answer\":263}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,76],[0,4,52],[0,5,55],[0,6,68],[1,3,23],[1,4,23],[1,6,87],[2,4,84],[2,6,42],[3,5,83],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=23,(1,4)=23,(2,6)=42,(0,4)=52,(0,5)=55,(0,6)=68,(0,2)=76,(3,5)=83,(2,4)=84,(1,6)=87,(4,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=42 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 2}, Find(0)=0, Find(4)=1, Add (0,4)=52 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(5)=5, Add (0,5)=55 Succeeded, w=195\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(6)=2, Add (0,6)=68 Succeeded, w=263\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=263\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(3)=1, Find(5)=1, Add (3,5)=83 Failed, w=263\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=263\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=87 Failed, w=263\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=88 Failed, w=263\"],\"Answer\":263}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,47],[0,4,83],[1,3,3],[1,4,93],[2,3,98],[2,4,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,47],[0,4,83],[1,3,3],[1,4,93],[2,3,98],[2,4,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,47],[0,4,83],[1,3,3],[1,4,93],[2,3,98],[2,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,47],[0,4,83],[1,3,3],[1,4,93],[2,3,98],[2,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (2,4)=43, w=46\",\"Add (0,2)=47, w=93\",\"Add (1,4)=93, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,47],[0,4,83],[1,3,3],[1,4,93],[2,3,98],[2,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (2,4)=43 Succeeded, w=46\",\"Add (0,2)=47 Succeeded, w=93\",\"Add (0,4)=83 Failed, w=93\",\"Add (1,4)=93 Succeeded, w=186\",\"Add (2,3)=98 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,47],[0,4,83],[1,3,3],[1,4,93],[2,3,98],[2,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,4)=43,(0,2)=47,(0,4)=83,(1,4)=93,(2,3)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=43 Succeeded, w=46\",\"Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=93\",\"Find(0)=2, Find(4)=2, Add (0,4)=83 Failed, w=93\",\"Find(1)=1, Find(4)=2, Add (1,4)=93 Succeeded, w=186\",\"Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,47],[0,4,83],[1,3,3],[1,4,93],[2,3,98],[2,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,4)=43,(0,2)=47,(0,4)=83,(1,4)=93,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=43 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=93\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=83 Failed, w=93\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=93 Succeeded, w=186\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2}, Find(2)=1, Find(3)=1, Add (2,3)=98 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,18],[1,2,82],[1,3,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[1,2,82],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[1,2,82],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[1,2,82],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=18, w=18\",\"Add (1,3)=34, w=52\",\"Add (1,2)=82, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[1,2,82],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=18 Succeeded, w=18\",\"Add (1,3)=34 Succeeded, w=52\",\"Add (1,2)=82 Succeeded, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[1,2,82],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=18,(1,3)=34,(1,2)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=18\",\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=52\",\"Find(1)=1, Find(2)=0, Add (1,2)=82 Succeeded, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[1,2,82],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=18,(1,3)=34,(1,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=82 Succeeded, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,71],[0,2,10],[0,3,9],[1,2,32],[1,3,42],[2,3,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,10],[0,3,9],[1,2,32],[1,3,42],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,10],[0,3,9],[1,2,32],[1,3,42],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,10],[0,3,9],[1,2,32],[1,3,42],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (0,2)=10, w=19\",\"Add (1,2)=32, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,10],[0,3,9],[1,2,32],[1,3,42],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (0,2)=10 Succeeded, w=19\",\"Add (2,3)=20 Failed, w=19\",\"Add (1,2)=32 Succeeded, w=51\",\"Add (1,3)=42 Failed, w=51\",\"Add (0,1)=71 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,10],[0,3,9],[1,2,32],[1,3,42],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(0,2)=10,(2,3)=20,(1,2)=32,(1,3)=42,(0,1)=71]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=19\",\"Find(2)=0, Find(3)=0, Add (2,3)=20 Failed, w=19\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=51\",\"Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=51\",\"Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,10],[0,3,9],[1,2,32],[1,3,42],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(0,2)=10,(2,3)=20,(1,2)=32,(1,3)=42,(0,1)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=20 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,2,69],[0,3,58],[0,4,40],[0,5,75],[0,6,31],[0,7,19],[1,2,10],[1,3,26],[1,4,66],[1,5,40],[1,6,97],[1,7,75],[2,3,57],[2,4,63],[2,5,37],[2,6,81],[2,7,42],[3,4,71],[3,5,91],[3,6,65],[3,7,67],[4,5,16],[4,6,42],[4,7,39],[5,6,22],[5,7,54],[6,7,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,69],[0,3,58],[0,4,40],[0,5,75],[0,6,31],[0,7,19],[1,2,10],[1,3,26],[1,4,66],[1,5,40],[1,6,97],[1,7,75],[2,3,57],[2,4,63],[2,5,37],[2,6,81],[2,7,42],[3,4,71],[3,5,91],[3,6,65],[3,7,67],[4,5,16],[4,6,42],[4,7,39],[5,6,22],[5,7,54],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,69],[0,3,58],[0,4,40],[0,5,75],[0,6,31],[0,7,19],[1,2,10],[1,3,26],[1,4,66],[1,5,40],[1,6,97],[1,7,75],[2,3,57],[2,4,63],[2,5,37],[2,6,81],[2,7,42],[3,4,71],[3,5,91],[3,6,65],[3,7,67],[4,5,16],[4,6,42],[4,7,39],[5,6,22],[5,7,54],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (0,7)\",\"Add (5,6)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (2,5)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,69],[0,3,58],[0,4,40],[0,5,75],[0,6,31],[0,7,19],[1,2,10],[1,3,26],[1,4,66],[1,5,40],[1,6,97],[1,7,75],[2,3,57],[2,4,63],[2,5,37],[2,6,81],[2,7,42],[3,4,71],[3,5,91],[3,6,65],[3,7,67],[4,5,16],[4,6,42],[4,7,39],[5,6,22],[5,7,54],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (4,5)=16, w=26\",\"Add (0,7)=19, w=45\",\"Add (5,6)=22, w=67\",\"Add (1,3)=26, w=93\",\"Add (0,6)=31, w=124\",\"Add (2,5)=37, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,69],[0,3,58],[0,4,40],[0,5,75],[0,6,31],[0,7,19],[1,2,10],[1,3,26],[1,4,66],[1,5,40],[1,6,97],[1,7,75],[2,3,57],[2,4,63],[2,5,37],[2,6,81],[2,7,42],[3,4,71],[3,5,91],[3,6,65],[3,7,67],[4,5,16],[4,6,42],[4,7,39],[5,6,22],[5,7,54],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (4,5)=16 Succeeded, w=26\",\"Add (0,7)=19 Succeeded, w=45\",\"Add (5,6)=22 Succeeded, w=67\",\"Add (1,3)=26 Succeeded, w=93\",\"Add (0,6)=31 Succeeded, w=124\",\"Add (2,5)=37 Succeeded, w=161\",\"Add (4,7)=39 Failed, w=161\",\"Add (0,4)=40 Failed, w=161\",\"Add (1,5)=40 Failed, w=161\",\"Add (0,1)=41 Failed, w=161\",\"Add (2,7)=42 Failed, w=161\",\"Add (4,6)=42 Failed, w=161\",\"Add (5,7)=54 Failed, w=161\",\"Add (6,7)=56 Failed, w=161\",\"Add (2,3)=57 Failed, w=161\",\"Add (0,3)=58 Failed, w=161\",\"Add (2,4)=63 Failed, w=161\",\"Add (3,6)=65 Failed, w=161\",\"Add (1,4)=66 Failed, w=161\",\"Add (3,7)=67 Failed, w=161\",\"Add (0,2)=69 Failed, w=161\",\"Add (3,4)=71 Failed, w=161\",\"Add (0,5)=75 Failed, w=161\",\"Add (1,7)=75 Failed, w=161\",\"Add (2,6)=81 Failed, w=161\",\"Add (3,5)=91 Failed, w=161\",\"Add (1,6)=97 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,69],[0,3,58],[0,4,40],[0,5,75],[0,6,31],[0,7,19],[1,2,10],[1,3,26],[1,4,66],[1,5,40],[1,6,97],[1,7,75],[2,3,57],[2,4,63],[2,5,37],[2,6,81],[2,7,42],[3,4,71],[3,5,91],[3,6,65],[3,7,67],[4,5,16],[4,6,42],[4,7,39],[5,6,22],[5,7,54],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(4,5)=16,(0,7)=19,(5,6)=22,(1,3)=26,(0,6)=31,(2,5)=37,(4,7)=39,(0,4)=40,(1,5)=40,(0,1)=41,(2,7)=42,(4,6)=42,(5,7)=54,(6,7)=56,(2,3)=57,(0,3)=58,(2,4)=63,(3,6)=65,(1,4)=66,(3,7)=67,(0,2)=69,(3,4)=71,(0,5)=75,(1,7)=75,(2,6)=81,(3,5)=91,(1,6)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=26\",\"Find(0)=0, Find(7)=7, Add (0,7)=19 Succeeded, w=45\",\"Find(5)=4, Find(6)=6, Add (5,6)=22 Succeeded, w=67\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=93\",\"Find(0)=0, Find(6)=4, Add (0,6)=31 Succeeded, w=124\",\"Find(2)=1, Find(5)=0, Add (2,5)=37 Succeeded, w=161\",\"Find(4)=0, Find(7)=0, Add (4,7)=39 Failed, w=161\",\"Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=161\",\"Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=161\",\"Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=161\",\"Find(2)=0, Find(7)=0, Add (2,7)=42 Failed, w=161\",\"Find(4)=0, Find(6)=0, Add (4,6)=42 Failed, w=161\",\"Find(5)=0, Find(7)=0, Add (5,7)=54 Failed, w=161\",\"Find(6)=0, Find(7)=0, Add (6,7)=56 Failed, w=161\",\"Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=161\",\"Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=161\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=161\",\"Find(3)=0, Find(6)=0, Add (3,6)=65 Failed, w=161\",\"Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=161\",\"Find(3)=0, Find(7)=0, Add (3,7)=67 Failed, w=161\",\"Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=161\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=161\",\"Find(0)=0, Find(5)=0, Add (0,5)=75 Failed, w=161\",\"Find(1)=0, Find(7)=0, Add (1,7)=75 Failed, w=161\",\"Find(2)=0, Find(6)=0, Add (2,6)=81 Failed, w=161\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=161\",\"Find(1)=0, Find(6)=0, Add (1,6)=97 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,69],[0,3,58],[0,4,40],[0,5,75],[0,6,31],[0,7,19],[1,2,10],[1,3,26],[1,4,66],[1,5,40],[1,6,97],[1,7,75],[2,3,57],[2,4,63],[2,5,37],[2,6,81],[2,7,42],[3,4,71],[3,5,91],[3,6,65],[3,7,67],[4,5,16],[4,6,42],[4,7,39],[5,6,22],[5,7,54],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(4,5)=16,(0,7)=19,(5,6)=22,(1,3)=26,(0,6)=31,(2,5)=37,(4,7)=39,(0,4)=40,(1,5)=40,(0,1)=41,(2,7)=42,(4,6)=42,(5,7)=54,(6,7)=56,(2,3)=57,(0,3)=58,(2,4)=63,(3,6)=65,(1,4)=66,(3,7)=67,(0,2)=69,(3,4)=71,(0,5)=75,(1,7)=75,(2,6)=81,(3,5)=91,(1,6)=97]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=19 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4, 7: 0}, Find(5)=4, Find(6)=6, Add (5,6)=22 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=93\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 4, 6: 4, 7: 0}, Find(0)=0, Find(6)=4, Add (0,6)=31 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 4, 7: 0}, Find(2)=1, Find(5)=0, Add (2,5)=37 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 4, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=39 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 4, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 4, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 4, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=42 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=42 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=54 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=56 Failed, w=161\",\"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)=57 Failed, w=161\",\"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)=58 Failed, w=161\",\"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)=63 Failed, w=161\",\"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)=65 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=161\",\"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)=67 Failed, w=161\",\"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)=69 Failed, w=161\",\"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)=71 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=75 Failed, w=161\",\"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)=75 Failed, w=161\",\"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)=81 Failed, w=161\",\"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)=91 Failed, w=161\",\"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)=97 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,25],[0,2,91],[2,3,84],[2,4,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,91],[2,3,84],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,91],[2,3,84],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,91],[2,3,84],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=25, w=25\",\"Add (2,3)=84, w=109\",\"Add (0,2)=91, w=200\",\"Add (2,4)=95, w=295\"],\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,91],[2,3,84],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=25 Succeeded, w=25\",\"Add (2,3)=84 Succeeded, w=109\",\"Add (0,2)=91 Succeeded, w=200\",\"Add (2,4)=95 Succeeded, w=295\"],\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,91],[2,3,84],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=25,(2,3)=84,(0,2)=91,(2,4)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=25\",\"Find(2)=2, Find(3)=3, Add (2,3)=84 Succeeded, w=109\",\"Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=200\",\"Find(2)=0, Find(4)=4, Add (2,4)=95 Succeeded, w=295\"],\"Answer\":295}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,91],[2,3,84],[2,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=25,(2,3)=84,(0,2)=91,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=84 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=95 Succeeded, w=295\"],\"Answer\":295}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,91],[0,2,76],[0,4,49],[0,5,83],[0,6,67],[0,7,84],[1,2,36],[1,3,21],[1,4,5],[1,5,40],[1,6,39],[1,7,47],[2,4,57],[2,5,56],[2,6,15],[2,7,23],[3,4,26],[3,5,43],[3,6,55],[4,5,98],[4,6,11],[5,7,18],[6,7,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,76],[0,4,49],[0,5,83],[0,6,67],[0,7,84],[1,2,36],[1,3,21],[1,4,5],[1,5,40],[1,6,39],[1,7,47],[2,4,57],[2,5,56],[2,6,15],[2,7,23],[3,4,26],[3,5,43],[3,6,55],[4,5,98],[4,6,11],[5,7,18],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,76],[0,4,49],[0,5,83],[0,6,67],[0,7,84],[1,2,36],[1,3,21],[1,4,5],[1,5,40],[1,6,39],[1,7,47],[2,4,57],[2,5,56],[2,6,15],[2,7,23],[3,4,26],[3,5,43],[3,6,55],[4,5,98],[4,6,11],[5,7,18],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,6)\",\"Add (2,6)\",\"Add (5,7)\",\"Add (1,3)\",\"Add (2,7)\",\"Add (0,4)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,76],[0,4,49],[0,5,83],[0,6,67],[0,7,84],[1,2,36],[1,3,21],[1,4,5],[1,5,40],[1,6,39],[1,7,47],[2,4,57],[2,5,56],[2,6,15],[2,7,23],[3,4,26],[3,5,43],[3,6,55],[4,5,98],[4,6,11],[5,7,18],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (4,6)=11, w=16\",\"Add (2,6)=15, w=31\",\"Add (5,7)=18, w=49\",\"Add (1,3)=21, w=70\",\"Add (2,7)=23, w=93\",\"Add (0,4)=49, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,76],[0,4,49],[0,5,83],[0,6,67],[0,7,84],[1,2,36],[1,3,21],[1,4,5],[1,5,40],[1,6,39],[1,7,47],[2,4,57],[2,5,56],[2,6,15],[2,7,23],[3,4,26],[3,5,43],[3,6,55],[4,5,98],[4,6,11],[5,7,18],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (4,6)=11 Succeeded, w=16\",\"Add (2,6)=15 Succeeded, w=31\",\"Add (5,7)=18 Succeeded, w=49\",\"Add (1,3)=21 Succeeded, w=70\",\"Add (2,7)=23 Succeeded, w=93\",\"Add (3,4)=26 Failed, w=93\",\"Add (1,2)=36 Failed, w=93\",\"Add (1,6)=39 Failed, w=93\",\"Add (1,5)=40 Failed, w=93\",\"Add (3,5)=43 Failed, w=93\",\"Add (1,7)=47 Failed, w=93\",\"Add (0,4)=49 Succeeded, w=142\",\"Add (3,6)=55 Failed, w=142\",\"Add (2,5)=56 Failed, w=142\",\"Add (2,4)=57 Failed, w=142\",\"Add (0,6)=67 Failed, w=142\",\"Add (0,2)=76 Failed, w=142\",\"Add (0,5)=83 Failed, w=142\",\"Add (0,7)=84 Failed, w=142\",\"Add (6,7)=89 Failed, w=142\",\"Add (0,1)=91 Failed, w=142\",\"Add (4,5)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,76],[0,4,49],[0,5,83],[0,6,67],[0,7,84],[1,2,36],[1,3,21],[1,4,5],[1,5,40],[1,6,39],[1,7,47],[2,4,57],[2,5,56],[2,6,15],[2,7,23],[3,4,26],[3,5,43],[3,6,55],[4,5,98],[4,6,11],[5,7,18],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(4,6)=11,(2,6)=15,(5,7)=18,(1,3)=21,(2,7)=23,(3,4)=26,(1,2)=36,(1,6)=39,(1,5)=40,(3,5)=43,(1,7)=47,(0,4)=49,(3,6)=55,(2,5)=56,(2,4)=57,(0,6)=67,(0,2)=76,(0,5)=83,(0,7)=84,(6,7)=89,(0,1)=91,(4,5)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(4)=1, Find(6)=6, Add (4,6)=11 Succeeded, w=16\",\"Find(2)=2, Find(6)=1, Add (2,6)=15 Succeeded, w=31\",\"Find(5)=5, Find(7)=7, Add (5,7)=18 Succeeded, w=49\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=70\",\"Find(2)=1, Find(7)=5, Add (2,7)=23 Succeeded, w=93\",\"Find(3)=1, Find(4)=1, Add (3,4)=26 Failed, w=93\",\"Find(1)=1, Find(2)=1, Add (1,2)=36 Failed, w=93\",\"Find(1)=1, Find(6)=1, Add (1,6)=39 Failed, w=93\",\"Find(1)=1, Find(5)=1, Add (1,5)=40 Failed, w=93\",\"Find(3)=1, Find(5)=1, Add (3,5)=43 Failed, w=93\",\"Find(1)=1, Find(7)=1, Add (1,7)=47 Failed, w=93\",\"Find(0)=0, Find(4)=1, Add (0,4)=49 Succeeded, w=142\",\"Find(3)=1, Find(6)=1, Add (3,6)=55 Failed, w=142\",\"Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=142\",\"Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=142\",\"Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=142\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=142\",\"Find(0)=1, Find(5)=1, Add (0,5)=83 Failed, w=142\",\"Find(0)=1, Find(7)=1, Add (0,7)=84 Failed, w=142\",\"Find(6)=1, Find(7)=1, Add (6,7)=89 Failed, w=142\",\"Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=142\",\"Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,76],[0,4,49],[0,5,83],[0,6,67],[0,7,84],[1,2,36],[1,3,21],[1,4,5],[1,5,40],[1,6,39],[1,7,47],[2,4,57],[2,5,56],[2,6,15],[2,7,23],[3,4,26],[3,5,43],[3,6,55],[4,5,98],[4,6,11],[5,7,18],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(4,6)=11,(2,6)=15,(5,7)=18,(1,3)=21,(2,7)=23,(3,4)=26,(1,2)=36,(1,6)=39,(1,5)=40,(3,5)=43,(1,7)=47,(0,4)=49,(3,6)=55,(2,5)=56,(2,4)=57,(0,6)=67,(0,2)=76,(0,5)=83,(0,7)=84,(6,7)=89,(0,1)=91,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=1, Find(6)=6, Add (4,6)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(6)=1, Add (2,6)=15 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=18 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 5}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(7)=5, Add (2,7)=23 Succeeded, w=93\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(3)=1, Find(4)=1, Add (3,4)=26 Failed, w=93\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(2)=1, Add (1,2)=36 Failed, w=93\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(6)=1, Add (1,6)=39 Failed, w=93\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(5)=1, Add (1,5)=40 Failed, w=93\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(3)=1, Find(5)=1, Add (3,5)=43 Failed, w=93\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=47 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=49 Succeeded, w=142\",\"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)=55 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=142\",\"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)=57 Failed, w=142\",\"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)=67 Failed, w=142\",\"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)=76 Failed, w=142\",\"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)=83 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=84 Failed, w=142\",\"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)=89 Failed, w=142\",\"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)=91 Failed, w=142\",\"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)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,51],[0,2,50],[0,3,28],[0,4,27],[1,2,32],[1,3,67],[1,4,46],[2,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,50],[0,3,28],[0,4,27],[1,2,32],[1,3,67],[1,4,46],[2,3,72]]}",
"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\":[[0,1,51],[0,2,50],[0,3,28],[0,4,27],[1,2,32],[1,3,67],[1,4,46],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,50],[0,3,28],[0,4,27],[1,2,32],[1,3,67],[1,4,46],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=27, w=27\",\"Add (0,3)=28, w=55\",\"Add (1,2)=32, w=87\",\"Add (1,4)=46, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,50],[0,3,28],[0,4,27],[1,2,32],[1,3,67],[1,4,46],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=27 Succeeded, w=27\",\"Add (0,3)=28 Succeeded, w=55\",\"Add (1,2)=32 Succeeded, w=87\",\"Add (1,4)=46 Succeeded, w=133\",\"Add (0,2)=50 Failed, w=133\",\"Add (0,1)=51 Failed, w=133\",\"Add (1,3)=67 Failed, w=133\",\"Add (2,3)=72 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\":[[0,1,51],[0,2,50],[0,3,28],[0,4,27],[1,2,32],[1,3,67],[1,4,46],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=27,(0,3)=28,(1,2)=32,(1,4)=46,(0,2)=50,(0,1)=51,(1,3)=67,(2,3)=72]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=27\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=55\",\"Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=87\",\"Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=133\",\"Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=133\",\"Find(0)=1, Find(1)=1, Add (0,1)=51 Failed, w=133\",\"Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=133\",\"Find(2)=1, Find(3)=1, Add (2,3)=72 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\":[[0,1,51],[0,2,50],[0,3,28],[0,4,27],[1,2,32],[1,3,67],[1,4,46],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=27,(0,3)=28,(1,2)=32,(1,4)=46,(0,2)=50,(0,1)=51,(1,3)=67,(2,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=51 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,48],[0,2,9],[0,3,7],[0,4,32],[1,2,66],[1,3,79],[2,3,22],[2,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,9],[0,3,7],[0,4,32],[1,2,66],[1,3,79],[2,3,22],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,9],[0,3,7],[0,4,32],[1,2,66],[1,3,79],[2,3,22],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,9],[0,3,7],[0,4,32],[1,2,66],[1,3,79],[2,3,22],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (0,2)=9, w=16\",\"Add (0,4)=32, w=48\",\"Add (0,1)=48, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,48],[0,2,9],[0,3,7],[0,4,32],[1,2,66],[1,3,79],[2,3,22],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (0,2)=9 Succeeded, w=16\",\"Add (2,3)=22 Failed, w=16\",\"Add (0,4)=32 Succeeded, w=48\",\"Add (0,1)=48 Succeeded, w=96\",\"Add (2,4)=62 Failed, w=96\",\"Add (1,2)=66 Failed, w=96\",\"Add (1,3)=79 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\":[[0,1,48],[0,2,9],[0,3,7],[0,4,32],[1,2,66],[1,3,79],[2,3,22],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,2)=9,(2,3)=22,(0,4)=32,(0,1)=48,(2,4)=62,(1,2)=66,(1,3)=79]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=16\",\"Find(2)=0, Find(3)=0, Add (2,3)=22 Failed, w=16\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=48\",\"Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 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\":[[0,1,48],[0,2,9],[0,3,7],[0,4,32],[1,2,66],[1,3,79],[2,3,22],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,2)=9,(2,3)=22,(0,4)=32,(0,1)=48,(2,4)=62,(1,2)=66,(1,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=0, Add (2,3)=22 Failed, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,19],[0,4,57],[0,5,2],[0,6,77],[0,7,75],[1,2,10],[1,3,18],[1,4,98],[1,5,2],[1,6,56],[1,7,51],[2,4,15],[2,5,17],[2,6,97],[2,7,89],[3,4,65],[3,5,40],[3,6,85],[3,7,8],[4,5,97],[4,6,29],[4,7,39],[5,6,4],[5,7,60],[6,7,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,57],[0,5,2],[0,6,77],[0,7,75],[1,2,10],[1,3,18],[1,4,98],[1,5,2],[1,6,56],[1,7,51],[2,4,15],[2,5,17],[2,6,97],[2,7,89],[3,4,65],[3,5,40],[3,6,85],[3,7,8],[4,5,97],[4,6,29],[4,7,39],[5,6,4],[5,7,60],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,57],[0,5,2],[0,6,77],[0,7,75],[1,2,10],[1,3,18],[1,4,98],[1,5,2],[1,6,56],[1,7,51],[2,4,15],[2,5,17],[2,6,97],[2,7,89],[3,4,65],[3,5,40],[3,6,85],[3,7,8],[4,5,97],[4,6,29],[4,7,39],[5,6,4],[5,7,60],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (3,7)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,57],[0,5,2],[0,6,77],[0,7,75],[1,2,10],[1,3,18],[1,4,98],[1,5,2],[1,6,56],[1,7,51],[2,4,15],[2,5,17],[2,6,97],[2,7,89],[3,4,65],[3,5,40],[3,6,85],[3,7,8],[4,5,97],[4,6,29],[4,7,39],[5,6,4],[5,7,60],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (1,5)=2, w=4\",\"Add (5,6)=4, w=8\",\"Add (3,7)=8, w=16\",\"Add (1,2)=10, w=26\",\"Add (2,4)=15, w=41\",\"Add (1,3)=18, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,57],[0,5,2],[0,6,77],[0,7,75],[1,2,10],[1,3,18],[1,4,98],[1,5,2],[1,6,56],[1,7,51],[2,4,15],[2,5,17],[2,6,97],[2,7,89],[3,4,65],[3,5,40],[3,6,85],[3,7,8],[4,5,97],[4,6,29],[4,7,39],[5,6,4],[5,7,60],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (1,5)=2 Succeeded, w=4\",\"Add (5,6)=4 Succeeded, w=8\",\"Add (3,7)=8 Succeeded, w=16\",\"Add (1,2)=10 Succeeded, w=26\",\"Add (2,4)=15 Succeeded, w=41\",\"Add (2,5)=17 Failed, w=41\",\"Add (1,3)=18 Succeeded, w=59\",\"Add (0,2)=19 Failed, w=59\",\"Add (4,6)=29 Failed, w=59\",\"Add (6,7)=29 Failed, w=59\",\"Add (4,7)=39 Failed, w=59\",\"Add (3,5)=40 Failed, w=59\",\"Add (1,7)=51 Failed, w=59\",\"Add (1,6)=56 Failed, w=59\",\"Add (0,4)=57 Failed, w=59\",\"Add (5,7)=60 Failed, w=59\",\"Add (3,4)=65 Failed, w=59\",\"Add (0,7)=75 Failed, w=59\",\"Add (0,6)=77 Failed, w=59\",\"Add (3,6)=85 Failed, w=59\",\"Add (2,7)=89 Failed, w=59\",\"Add (2,6)=97 Failed, w=59\",\"Add (4,5)=97 Failed, w=59\",\"Add (1,4)=98 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,57],[0,5,2],[0,6,77],[0,7,75],[1,2,10],[1,3,18],[1,4,98],[1,5,2],[1,6,56],[1,7,51],[2,4,15],[2,5,17],[2,6,97],[2,7,89],[3,4,65],[3,5,40],[3,6,85],[3,7,8],[4,5,97],[4,6,29],[4,7,39],[5,6,4],[5,7,60],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(1,5)=2,(5,6)=4,(3,7)=8,(1,2)=10,(2,4)=15,(2,5)=17,(1,3)=18,(0,2)=19,(4,6)=29,(6,7)=29,(4,7)=39,(3,5)=40,(1,7)=51,(1,6)=56,(0,4)=57,(5,7)=60,(3,4)=65,(0,7)=75,(0,6)=77,(3,6)=85,(2,7)=89,(2,6)=97,(4,5)=97,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=0, Add (1,5)=2 Succeeded, w=4\",\"Find(5)=0, Find(6)=6, Add (5,6)=4 Succeeded, w=8\",\"Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=16\",\"Find(1)=0, Find(2)=2, Add (1,2)=10 Succeeded, w=26\",\"Find(2)=0, Find(4)=4, Add (2,4)=15 Succeeded, w=41\",\"Find(2)=0, Find(5)=0, Add (2,5)=17 Failed, w=41\",\"Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=59\",\"Find(0)=0, Find(2)=0, Add (0,2)=19 Failed, w=59\",\"Find(4)=0, Find(6)=0, Add (4,6)=29 Failed, w=59\",\"Find(6)=0, Find(7)=0, Add (6,7)=29 Failed, w=59\",\"Find(4)=0, Find(7)=0, Add (4,7)=39 Failed, w=59\",\"Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=59\",\"Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=59\",\"Find(1)=0, Find(6)=0, Add (1,6)=56 Failed, w=59\",\"Find(0)=0, Find(4)=0, Add (0,4)=57 Failed, w=59\",\"Find(5)=0, Find(7)=0, Add (5,7)=60 Failed, w=59\",\"Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=59\",\"Find(0)=0, Find(7)=0, Add (0,7)=75 Failed, w=59\",\"Find(0)=0, Find(6)=0, Add (0,6)=77 Failed, w=59\",\"Find(3)=0, Find(6)=0, Add (3,6)=85 Failed, w=59\",\"Find(2)=0, Find(7)=0, Add (2,7)=89 Failed, w=59\",\"Find(2)=0, Find(6)=0, Add (2,6)=97 Failed, w=59\",\"Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=59\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,19],[0,4,57],[0,5,2],[0,6,77],[0,7,75],[1,2,10],[1,3,18],[1,4,98],[1,5,2],[1,6,56],[1,7,51],[2,4,15],[2,5,17],[2,6,97],[2,7,89],[3,4,65],[3,5,40],[3,6,85],[3,7,8],[4,5,97],[4,6,29],[4,7,39],[5,6,4],[5,7,60],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(1,5)=2,(5,6)=4,(3,7)=8,(1,2)=10,(2,4)=15,(2,5)=17,(1,3)=18,(0,2)=19,(4,6)=29,(6,7)=29,(4,7)=39,(3,5)=40,(1,7)=51,(1,6)=56,(0,4)=57,(5,7)=60,(3,4)=65,(0,7)=75,(0,6)=77,(3,6)=85,(2,7)=89,(2,6)=97,(4,5)=97,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(5)=0, Add (1,5)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 7}, Find(5)=0, Find(6)=6, Add (5,6)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(2)=2, Add (1,2)=10 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(4)=4, Add (2,4)=15 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(5)=0, Add (2,5)=17 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(2)=0, Add (0,2)=19 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(4)=0, Find(6)=0, Add (4,6)=29 Failed, w=59\",\"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)=29 Failed, w=59\",\"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)=39 Failed, w=59\",\"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)=40 Failed, w=59\",\"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)=51 Failed, w=59\",\"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)=56 Failed, w=59\",\"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)=57 Failed, w=59\",\"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)=60 Failed, w=59\",\"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)=65 Failed, w=59\",\"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)=75 Failed, w=59\",\"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)=77 Failed, w=59\",\"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)=85 Failed, w=59\",\"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)=89 Failed, w=59\",\"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)=97 Failed, w=59\",\"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)=97 Failed, w=59\",\"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)=98 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,30],[0,2,20],[0,3,22],[0,4,79],[0,5,97],[0,6,32],[1,3,81],[1,6,4],[2,3,45],[2,4,49],[2,6,7],[3,5,31],[4,5,68],[5,6,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,20],[0,3,22],[0,4,79],[0,5,97],[0,6,32],[1,3,81],[1,6,4],[2,3,45],[2,4,49],[2,6,7],[3,5,31],[4,5,68],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,20],[0,3,22],[0,4,79],[0,5,97],[0,6,32],[1,3,81],[1,6,4],[2,3,45],[2,4,49],[2,6,7],[3,5,31],[4,5,68],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (3,5)\",\"Add (2,4)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,20],[0,3,22],[0,4,79],[0,5,97],[0,6,32],[1,3,81],[1,6,4],[2,3,45],[2,4,49],[2,6,7],[3,5,31],[4,5,68],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4, w=4\",\"Add (2,6)=7, w=11\",\"Add (0,2)=20, w=31\",\"Add (0,3)=22, w=53\",\"Add (3,5)=31, w=84\",\"Add (2,4)=49, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,20],[0,3,22],[0,4,79],[0,5,97],[0,6,32],[1,3,81],[1,6,4],[2,3,45],[2,4,49],[2,6,7],[3,5,31],[4,5,68],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4 Succeeded, w=4\",\"Add (2,6)=7 Succeeded, w=11\",\"Add (0,2)=20 Succeeded, w=31\",\"Add (0,3)=22 Succeeded, w=53\",\"Add (0,1)=30 Failed, w=53\",\"Add (3,5)=31 Succeeded, w=84\",\"Add (0,6)=32 Failed, w=84\",\"Add (2,3)=45 Failed, w=84\",\"Add (2,4)=49 Succeeded, w=133\",\"Add (5,6)=49 Failed, w=133\",\"Add (4,5)=68 Failed, w=133\",\"Add (0,4)=79 Failed, w=133\",\"Add (1,3)=81 Failed, w=133\",\"Add (0,5)=97 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,20],[0,3,22],[0,4,79],[0,5,97],[0,6,32],[1,3,81],[1,6,4],[2,3,45],[2,4,49],[2,6,7],[3,5,31],[4,5,68],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(2,6)=7,(0,2)=20,(0,3)=22,(0,1)=30,(3,5)=31,(0,6)=32,(2,3)=45,(2,4)=49,(5,6)=49,(4,5)=68,(0,4)=79,(1,3)=81,(0,5)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Find(2)=2, Find(6)=1, Add (2,6)=7 Succeeded, w=11\",\"Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=31\",\"Find(0)=1, Find(3)=3, Add (0,3)=22 Succeeded, w=53\",\"Find(0)=1, Find(1)=1, Add (0,1)=30 Failed, w=53\",\"Find(3)=1, Find(5)=5, Add (3,5)=31 Succeeded, w=84\",\"Find(0)=1, Find(6)=1, Add (0,6)=32 Failed, w=84\",\"Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=84\",\"Find(2)=1, Find(4)=4, Add (2,4)=49 Succeeded, w=133\",\"Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=133\",\"Find(4)=1, Find(5)=1, Add (4,5)=68 Failed, w=133\",\"Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=133\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=133\",\"Find(0)=1, Find(5)=1, Add (0,5)=97 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,20],[0,3,22],[0,4,79],[0,5,97],[0,6,32],[1,3,81],[1,6,4],[2,3,45],[2,4,49],[2,6,7],[3,5,31],[4,5,68],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(2,6)=7,(0,2)=20,(0,3)=22,(0,1)=30,(3,5)=31,(0,6)=32,(2,3)=45,(2,4)=49,(5,6)=49,(4,5)=68,(0,4)=79,(1,3)=81,(0,5)=97]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=7 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(0)=1, Find(3)=3, Add (0,3)=22 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=30 Failed, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=31 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=32 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=49 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=68 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=97 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,28],[0,2,60],[0,3,34],[0,4,65],[0,5,54],[0,6,39],[1,2,3],[1,3,9],[1,4,26],[1,5,6],[1,6,32],[2,4,10],[2,5,61],[2,6,65],[2,7,43],[3,4,42],[3,6,34],[3,7,11],[4,5,79],[4,6,69],[4,7,92],[5,6,99],[5,7,98],[6,7,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,60],[0,3,34],[0,4,65],[0,5,54],[0,6,39],[1,2,3],[1,3,9],[1,4,26],[1,5,6],[1,6,32],[2,4,10],[2,5,61],[2,6,65],[2,7,43],[3,4,42],[3,6,34],[3,7,11],[4,5,79],[4,6,69],[4,7,92],[5,6,99],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,60],[0,3,34],[0,4,65],[0,5,54],[0,6,39],[1,2,3],[1,3,9],[1,4,26],[1,5,6],[1,6,32],[2,4,10],[2,5,61],[2,6,65],[2,7,43],[3,4,42],[3,6,34],[3,7,11],[4,5,79],[4,6,69],[4,7,92],[5,6,99],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (3,7)\",\"Add (0,1)\",\"Add (1,6)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,60],[0,3,34],[0,4,65],[0,5,54],[0,6,39],[1,2,3],[1,3,9],[1,4,26],[1,5,6],[1,6,32],[2,4,10],[2,5,61],[2,6,65],[2,7,43],[3,4,42],[3,6,34],[3,7,11],[4,5,79],[4,6,69],[4,7,92],[5,6,99],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (1,5)=6, w=9\",\"Add (1,3)=9, w=18\",\"Add (2,4)=10, w=28\",\"Add (3,7)=11, w=39\",\"Add (0,1)=28, w=67\",\"Add (1,6)=32, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,60],[0,3,34],[0,4,65],[0,5,54],[0,6,39],[1,2,3],[1,3,9],[1,4,26],[1,5,6],[1,6,32],[2,4,10],[2,5,61],[2,6,65],[2,7,43],[3,4,42],[3,6,34],[3,7,11],[4,5,79],[4,6,69],[4,7,92],[5,6,99],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (1,5)=6 Succeeded, w=9\",\"Add (1,3)=9 Succeeded, w=18\",\"Add (2,4)=10 Succeeded, w=28\",\"Add (3,7)=11 Succeeded, w=39\",\"Add (1,4)=26 Failed, w=39\",\"Add (0,1)=28 Succeeded, w=67\",\"Add (1,6)=32 Succeeded, w=99\",\"Add (0,3)=34 Failed, w=99\",\"Add (3,6)=34 Failed, w=99\",\"Add (0,6)=39 Failed, w=99\",\"Add (3,4)=42 Failed, w=99\",\"Add (2,7)=43 Failed, w=99\",\"Add (0,5)=54 Failed, w=99\",\"Add (0,2)=60 Failed, w=99\",\"Add (2,5)=61 Failed, w=99\",\"Add (0,4)=65 Failed, w=99\",\"Add (2,6)=65 Failed, w=99\",\"Add (4,6)=69 Failed, w=99\",\"Add (4,5)=79 Failed, w=99\",\"Add (6,7)=85 Failed, w=99\",\"Add (4,7)=92 Failed, w=99\",\"Add (5,7)=98 Failed, w=99\",\"Add (5,6)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,60],[0,3,34],[0,4,65],[0,5,54],[0,6,39],[1,2,3],[1,3,9],[1,4,26],[1,5,6],[1,6,32],[2,4,10],[2,5,61],[2,6,65],[2,7,43],[3,4,42],[3,6,34],[3,7,11],[4,5,79],[4,6,69],[4,7,92],[5,6,99],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,5)=6,(1,3)=9,(2,4)=10,(3,7)=11,(1,4)=26,(0,1)=28,(1,6)=32,(0,3)=34,(3,6)=34,(0,6)=39,(3,4)=42,(2,7)=43,(0,5)=54,(0,2)=60,(2,5)=61,(0,4)=65,(2,6)=65,(4,6)=69,(4,5)=79,(6,7)=85,(4,7)=92,(5,7)=98,(5,6)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=18\",\"Find(2)=1, Find(4)=4, Add (2,4)=10 Succeeded, w=28\",\"Find(3)=1, Find(7)=7, Add (3,7)=11 Succeeded, w=39\",\"Find(1)=1, Find(4)=1, Add (1,4)=26 Failed, w=39\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=67\",\"Find(1)=1, Find(6)=6, Add (1,6)=32 Succeeded, w=99\",\"Find(0)=1, Find(3)=1, Add (0,3)=34 Failed, w=99\",\"Find(3)=1, Find(6)=1, Add (3,6)=34 Failed, w=99\",\"Find(0)=1, Find(6)=1, Add (0,6)=39 Failed, w=99\",\"Find(3)=1, Find(4)=1, Add (3,4)=42 Failed, w=99\",\"Find(2)=1, Find(7)=1, Add (2,7)=43 Failed, w=99\",\"Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=99\",\"Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=99\",\"Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=99\",\"Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=99\",\"Find(2)=1, Find(6)=1, Add (2,6)=65 Failed, w=99\",\"Find(4)=1, Find(6)=1, Add (4,6)=69 Failed, w=99\",\"Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=99\",\"Find(6)=1, Find(7)=1, Add (6,7)=85 Failed, w=99\",\"Find(4)=1, Find(7)=1, Add (4,7)=92 Failed, w=99\",\"Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=99\",\"Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,60],[0,3,34],[0,4,65],[0,5,54],[0,6,39],[1,2,3],[1,3,9],[1,4,26],[1,5,6],[1,6,32],[2,4,10],[2,5,61],[2,6,65],[2,7,43],[3,4,42],[3,6,34],[3,7,11],[4,5,79],[4,6,69],[4,7,92],[5,6,99],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,5)=6,(1,3)=9,(2,4)=10,(3,7)=11,(1,4)=26,(0,1)=28,(1,6)=32,(0,3)=34,(3,6)=34,(0,6)=39,(3,4)=42,(2,7)=43,(0,5)=54,(0,2)=60,(2,5)=61,(0,4)=65,(2,6)=65,(4,6)=69,(4,5)=79,(6,7)=85,(4,7)=92,(5,7)=98,(5,6)=99]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 7}, Find(2)=1, Find(4)=4, Add (2,4)=10 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=11 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=26 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=6, Add (1,6)=32 Succeeded, w=99\",\"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)=34 Failed, w=99\",\"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)=34 Failed, w=99\",\"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)=39 Failed, w=99\",\"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)=42 Failed, w=99\",\"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)=43 Failed, w=99\",\"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)=54 Failed, w=99\",\"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)=60 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=99\",\"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)=65 Failed, w=99\",\"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)=65 Failed, w=99\",\"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)=69 Failed, w=99\",\"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)=79 Failed, w=99\",\"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)=85 Failed, w=99\",\"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)=92 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=99\",\"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)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,70],[0,2,17],[0,3,38],[0,4,47],[1,2,35],[1,3,0],[1,4,23],[1,5,10],[2,5,49],[3,4,96],[3,5,52],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,17],[0,3,38],[0,4,47],[1,2,35],[1,3,0],[1,4,23],[1,5,10],[2,5,49],[3,4,96],[3,5,52],[4,5,31]]}",
"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\":[[0,1,70],[0,2,17],[0,3,38],[0,4,47],[1,2,35],[1,3,0],[1,4,23],[1,5,10],[2,5,49],[3,4,96],[3,5,52],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,2)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,17],[0,3,38],[0,4,47],[1,2,35],[1,3,0],[1,4,23],[1,5,10],[2,5,49],[3,4,96],[3,5,52],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,5)=10, w=10\",\"Add (0,2)=17, w=27\",\"Add (1,4)=23, w=50\",\"Add (1,2)=35, 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\":[[0,1,70],[0,2,17],[0,3,38],[0,4,47],[1,2,35],[1,3,0],[1,4,23],[1,5,10],[2,5,49],[3,4,96],[3,5,52],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,5)=10 Succeeded, w=10\",\"Add (0,2)=17 Succeeded, w=27\",\"Add (1,4)=23 Succeeded, w=50\",\"Add (4,5)=31 Failed, w=50\",\"Add (1,2)=35 Succeeded, w=85\",\"Add (0,3)=38 Failed, w=85\",\"Add (0,4)=47 Failed, w=85\",\"Add (2,5)=49 Failed, w=85\",\"Add (3,5)=52 Failed, w=85\",\"Add (0,1)=70 Failed, w=85\",\"Add (3,4)=96 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\":[[0,1,70],[0,2,17],[0,3,38],[0,4,47],[1,2,35],[1,3,0],[1,4,23],[1,5,10],[2,5,49],[3,4,96],[3,5,52],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,5)=10,(0,2)=17,(1,4)=23,(4,5)=31,(1,2)=35,(0,3)=38,(0,4)=47,(2,5)=49,(3,5)=52,(0,1)=70,(3,4)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=27\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=50\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=50\",\"Find(1)=1, Find(2)=0, Add (1,2)=35 Succeeded, w=85\",\"Find(0)=1, Find(3)=1, Add (0,3)=38 Failed, w=85\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=85\",\"Find(2)=1, Find(5)=1, Add (2,5)=49 Failed, w=85\",\"Find(3)=1, Find(5)=1, Add (3,5)=52 Failed, w=85\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=85\",\"Find(3)=1, Find(4)=1, Add (3,4)=96 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\":[[0,1,70],[0,2,17],[0,3,38],[0,4,47],[1,2,35],[1,3,0],[1,4,23],[1,5,10],[2,5,49],[3,4,96],[3,5,52],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,5)=10,(0,2)=17,(1,4)=23,(4,5)=31,(1,2)=35,(0,3)=38,(0,4)=47,(2,5)=49,(3,5)=52,(0,1)=70,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=0, Add (1,2)=35 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=38 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=49 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=52 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,32],[0,2,48],[0,3,31],[1,2,45],[1,3,40],[2,3,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,48],[0,3,31],[1,2,45],[1,3,40],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,48],[0,3,31],[1,2,45],[1,3,40],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,48],[0,3,31],[1,2,45],[1,3,40],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (0,3)=31, w=44\",\"Add (0,1)=32, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,48],[0,3,31],[1,2,45],[1,3,40],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (0,3)=31 Succeeded, w=44\",\"Add (0,1)=32 Succeeded, w=76\",\"Add (1,3)=40 Failed, w=76\",\"Add (1,2)=45 Failed, w=76\",\"Add (0,2)=48 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,48],[0,3,31],[1,2,45],[1,3,40],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(0,3)=31,(0,1)=32,(1,3)=40,(1,2)=45,(0,2)=48]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=44\",\"Find(0)=2, Find(1)=1, Add (0,1)=32 Succeeded, w=76\",\"Find(1)=2, Find(3)=2, Add (1,3)=40 Failed, w=76\",\"Find(1)=2, Find(2)=2, Add (1,2)=45 Failed, w=76\",\"Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,48],[0,3,31],[1,2,45],[1,3,40],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(0,3)=31,(0,1)=32,(1,3)=40,(1,2)=45,(0,2)=48]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=32 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=40 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=45 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,83],[0,2,8],[0,3,91],[0,6,99],[1,2,39],[1,5,43],[1,7,78],[2,4,95],[2,5,86],[3,5,35],[3,6,88],[3,7,30],[4,7,21],[5,6,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,8],[0,3,91],[0,6,99],[1,2,39],[1,5,43],[1,7,78],[2,4,95],[2,5,86],[3,5,35],[3,6,88],[3,7,30],[4,7,21],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":229}",
"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],[0,2,8],[0,3,91],[0,6,99],[1,2,39],[1,5,43],[1,7,78],[2,4,95],[2,5,86],[3,5,35],[3,6,88],[3,7,30],[4,7,21],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,7)\",\"Add (3,7)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (5,6)\"],\"Answer\":229}",
"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],[0,2,8],[0,3,91],[0,6,99],[1,2,39],[1,5,43],[1,7,78],[2,4,95],[2,5,86],[3,5,35],[3,6,88],[3,7,30],[4,7,21],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (4,7)=21, w=29\",\"Add (3,7)=30, w=59\",\"Add (3,5)=35, w=94\",\"Add (1,2)=39, w=133\",\"Add (1,5)=43, w=176\",\"Add (5,6)=53, w=229\"],\"Answer\":229}",
"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],[0,2,8],[0,3,91],[0,6,99],[1,2,39],[1,5,43],[1,7,78],[2,4,95],[2,5,86],[3,5,35],[3,6,88],[3,7,30],[4,7,21],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (4,7)=21 Succeeded, w=29\",\"Add (3,7)=30 Succeeded, w=59\",\"Add (3,5)=35 Succeeded, w=94\",\"Add (1,2)=39 Succeeded, w=133\",\"Add (1,5)=43 Succeeded, w=176\",\"Add (5,6)=53 Succeeded, w=229\",\"Add (1,7)=78 Failed, w=229\",\"Add (0,1)=83 Failed, w=229\",\"Add (2,5)=86 Failed, w=229\",\"Add (3,6)=88 Failed, w=229\",\"Add (0,3)=91 Failed, w=229\",\"Add (2,4)=95 Failed, w=229\",\"Add (0,6)=99 Failed, w=229\"],\"Answer\":229}",
"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],[0,2,8],[0,3,91],[0,6,99],[1,2,39],[1,5,43],[1,7,78],[2,4,95],[2,5,86],[3,5,35],[3,6,88],[3,7,30],[4,7,21],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(4,7)=21,(3,7)=30,(3,5)=35,(1,2)=39,(1,5)=43,(5,6)=53,(1,7)=78,(0,1)=83,(2,5)=86,(3,6)=88,(0,3)=91,(2,4)=95,(0,6)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(4)=4, Find(7)=7, Add (4,7)=21 Succeeded, w=29\",\"Find(3)=3, Find(7)=4, Add (3,7)=30 Succeeded, w=59\",\"Find(3)=4, Find(5)=5, Add (3,5)=35 Succeeded, w=94\",\"Find(1)=1, Find(2)=0, Add (1,2)=39 Succeeded, w=133\",\"Find(1)=0, Find(5)=4, Add (1,5)=43 Succeeded, w=176\",\"Find(5)=0, Find(6)=6, Add (5,6)=53 Succeeded, w=229\",\"Find(1)=0, Find(7)=0, Add (1,7)=78 Failed, w=229\",\"Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=229\",\"Find(2)=0, Find(5)=0, Add (2,5)=86 Failed, w=229\",\"Find(3)=0, Find(6)=0, Add (3,6)=88 Failed, w=229\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=229\",\"Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=229\",\"Find(0)=0, Find(6)=0, Add (0,6)=99 Failed, w=229\"],\"Answer\":229}",
"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],[0,2,8],[0,3,91],[0,6,99],[1,2,39],[1,5,43],[1,7,78],[2,4,95],[2,5,86],[3,5,35],[3,6,88],[3,7,30],[4,7,21],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(4,7)=21,(3,7)=30,(3,5)=35,(1,2)=39,(1,5)=43,(5,6)=53,(1,7)=78,(0,1)=83,(2,5)=86,(3,6)=88,(0,3)=91,(2,4)=95,(0,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=21 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 4, 5: 5, 6: 6, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=30 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(3)=4, Find(5)=5, Add (3,5)=35 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 6, 7: 4}, Find(1)=1, Find(2)=0, Add (1,2)=39 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 4, 6: 6, 7: 4}, Find(1)=0, Find(5)=4, Add (1,5)=43 Succeeded, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 0, 7: 4}, Find(5)=0, Find(6)=6, Add (5,6)=53 Succeeded, w=229\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=78 Failed, w=229\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=229\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=86 Failed, w=229\",\"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)=88 Failed, w=229\",\"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)=91 Failed, w=229\",\"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)=95 Failed, w=229\",\"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)=99 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,93],[0,3,96],[0,4,54],[0,6,66],[1,2,57],[1,3,59],[1,6,58],[2,3,0],[2,4,19],[2,5,70],[3,4,24],[3,6,43],[5,6,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,3,96],[0,4,54],[0,6,66],[1,2,57],[1,3,59],[1,6,58],[2,3,0],[2,4,19],[2,5,70],[3,4,24],[3,6,43],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,3,96],[0,4,54],[0,6,66],[1,2,57],[1,3,59],[1,6,58],[2,3,0],[2,4,19],[2,5,70],[3,4,24],[3,6,43],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (2,5)\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,3,96],[0,4,54],[0,6,66],[1,2,57],[1,3,59],[1,6,58],[2,3,0],[2,4,19],[2,5,70],[3,4,24],[3,6,43],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (2,4)=19, w=19\",\"Add (3,6)=43, w=62\",\"Add (0,4)=54, w=116\",\"Add (1,2)=57, w=173\",\"Add (2,5)=70, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,3,96],[0,4,54],[0,6,66],[1,2,57],[1,3,59],[1,6,58],[2,3,0],[2,4,19],[2,5,70],[3,4,24],[3,6,43],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (2,4)=19 Succeeded, w=19\",\"Add (3,4)=24 Failed, w=19\",\"Add (3,6)=43 Succeeded, w=62\",\"Add (0,4)=54 Succeeded, w=116\",\"Add (1,2)=57 Succeeded, w=173\",\"Add (1,6)=58 Failed, w=173\",\"Add (1,3)=59 Failed, w=173\",\"Add (0,6)=66 Failed, w=173\",\"Add (2,5)=70 Succeeded, w=243\",\"Add (5,6)=89 Failed, w=243\",\"Add (0,1)=93 Failed, w=243\",\"Add (0,3)=96 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,3,96],[0,4,54],[0,6,66],[1,2,57],[1,3,59],[1,6,58],[2,3,0],[2,4,19],[2,5,70],[3,4,24],[3,6,43],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=19,(3,4)=24,(3,6)=43,(0,4)=54,(1,2)=57,(1,6)=58,(1,3)=59,(0,6)=66,(2,5)=70,(5,6)=89,(0,1)=93,(0,3)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Find(3)=2, Find(4)=2, Add (3,4)=24 Failed, w=19\",\"Find(3)=2, Find(6)=6, Add (3,6)=43 Succeeded, w=62\",\"Find(0)=0, Find(4)=2, Add (0,4)=54 Succeeded, w=116\",\"Find(1)=1, Find(2)=2, Add (1,2)=57 Succeeded, w=173\",\"Find(1)=2, Find(6)=2, Add (1,6)=58 Failed, w=173\",\"Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=173\",\"Find(0)=2, Find(6)=2, Add (0,6)=66 Failed, w=173\",\"Find(2)=2, Find(5)=5, Add (2,5)=70 Succeeded, w=243\",\"Find(5)=2, Find(6)=2, Add (5,6)=89 Failed, w=243\",\"Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=243\",\"Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,3,96],[0,4,54],[0,6,66],[1,2,57],[1,3,59],[1,6,58],[2,3,0],[2,4,19],[2,5,70],[3,4,24],[3,6,43],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=19,(3,4)=24,(3,6)=43,(0,4)=54,(1,2)=57,(1,6)=58,(1,3)=59,(0,6)=66,(2,5)=70,(5,6)=89,(0,1)=93,(0,3)=96]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=2, Find(4)=2, Add (3,4)=24 Failed, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=43 Succeeded, w=62\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=54 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=57 Succeeded, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=58 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=66 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=70 Succeeded, w=243\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=89 Failed, w=243\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=243\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,2,11],[0,4,18],[1,4,32],[1,6,17],[2,3,4],[2,6,25],[3,5,90],[3,6,97],[4,6,100],[5,6,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,11],[0,4,18],[1,4,32],[1,6,17],[2,3,4],[2,6,25],[3,5,90],[3,6,97],[4,6,100],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,11],[0,4,18],[1,4,32],[1,6,17],[2,3,4],[2,6,25],[3,5,90],[3,6,97],[4,6,100],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (3,5)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,11],[0,4,18],[1,4,32],[1,6,17],[2,3,4],[2,6,25],[3,5,90],[3,6,97],[4,6,100],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (0,2)=11, w=15\",\"Add (1,6)=17, w=32\",\"Add (0,4)=18, w=50\",\"Add (0,1)=21, w=71\",\"Add (3,5)=90, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,11],[0,4,18],[1,4,32],[1,6,17],[2,3,4],[2,6,25],[3,5,90],[3,6,97],[4,6,100],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (0,2)=11 Succeeded, w=15\",\"Add (1,6)=17 Succeeded, w=32\",\"Add (0,4)=18 Succeeded, w=50\",\"Add (0,1)=21 Succeeded, w=71\",\"Add (2,6)=25 Failed, w=71\",\"Add (1,4)=32 Failed, w=71\",\"Add (3,5)=90 Succeeded, w=161\",\"Add (3,6)=97 Failed, w=161\",\"Add (4,6)=100 Failed, w=161\",\"Add (5,6)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,11],[0,4,18],[1,4,32],[1,6,17],[2,3,4],[2,6,25],[3,5,90],[3,6,97],[4,6,100],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,2)=11,(1,6)=17,(0,4)=18,(0,1)=21,(2,6)=25,(1,4)=32,(3,5)=90,(3,6)=97,(4,6)=100,(5,6)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=32\",\"Find(0)=2, Find(4)=4, Add (0,4)=18 Succeeded, w=50\",\"Find(0)=2, Find(1)=1, Add (0,1)=21 Succeeded, w=71\",\"Find(2)=2, Find(6)=2, Add (2,6)=25 Failed, w=71\",\"Find(1)=2, Find(4)=2, Add (1,4)=32 Failed, w=71\",\"Find(3)=2, Find(5)=5, Add (3,5)=90 Succeeded, w=161\",\"Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=161\",\"Find(4)=2, Find(6)=2, Add (4,6)=100 Failed, w=161\",\"Find(5)=2, Find(6)=2, Add (5,6)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,11],[0,4,18],[1,4,32],[1,6,17],[2,3,4],[2,6,25],[3,5,90],[3,6,97],[4,6,100],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,2)=11,(1,6)=17,(0,4)=18,(0,1)=21,(2,6)=25,(1,4)=32,(3,5)=90,(3,6)=97,(4,6)=100,(5,6)=100]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 1}, Find(0)=2, Find(4)=4, Add (0,4)=18 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 1}, Find(0)=2, Find(1)=1, Add (0,1)=21 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=25 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=32 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=90 Succeeded, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=97 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=100 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,79],[0,2,4],[0,3,45],[0,4,41],[0,5,29],[1,2,91],[1,3,78],[1,4,44],[1,5,14],[2,3,43],[2,4,38],[2,5,14],[3,4,94],[3,5,27],[4,5,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,4],[0,3,45],[0,4,41],[0,5,29],[1,2,91],[1,3,78],[1,4,44],[1,5,14],[2,3,43],[2,4,38],[2,5,14],[3,4,94],[3,5,27],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,4],[0,3,45],[0,4,41],[0,5,29],[1,2,91],[1,3,78],[1,4,44],[1,5,14],[2,3,43],[2,4,38],[2,5,14],[3,4,94],[3,5,27],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,4],[0,3,45],[0,4,41],[0,5,29],[1,2,91],[1,3,78],[1,4,44],[1,5,14],[2,3,43],[2,4,38],[2,5,14],[3,4,94],[3,5,27],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (1,5)=14, w=18\",\"Add (2,5)=14, w=32\",\"Add (4,5)=16, w=48\",\"Add (3,5)=27, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,4],[0,3,45],[0,4,41],[0,5,29],[1,2,91],[1,3,78],[1,4,44],[1,5,14],[2,3,43],[2,4,38],[2,5,14],[3,4,94],[3,5,27],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (1,5)=14 Succeeded, w=18\",\"Add (2,5)=14 Succeeded, w=32\",\"Add (4,5)=16 Succeeded, w=48\",\"Add (3,5)=27 Succeeded, w=75\",\"Add (0,5)=29 Failed, w=75\",\"Add (2,4)=38 Failed, w=75\",\"Add (0,4)=41 Failed, w=75\",\"Add (2,3)=43 Failed, w=75\",\"Add (1,4)=44 Failed, w=75\",\"Add (0,3)=45 Failed, w=75\",\"Add (1,3)=78 Failed, w=75\",\"Add (0,1)=79 Failed, w=75\",\"Add (1,2)=91 Failed, w=75\",\"Add (3,4)=94 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,4],[0,3,45],[0,4,41],[0,5,29],[1,2,91],[1,3,78],[1,4,44],[1,5,14],[2,3,43],[2,4,38],[2,5,14],[3,4,94],[3,5,27],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,5)=14,(2,5)=14,(4,5)=16,(3,5)=27,(0,5)=29,(2,4)=38,(0,4)=41,(2,3)=43,(1,4)=44,(0,3)=45,(1,3)=78,(0,1)=79,(1,2)=91,(3,4)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=18\",\"Find(2)=0, Find(5)=1, Add (2,5)=14 Succeeded, w=32\",\"Find(4)=4, Find(5)=0, Add (4,5)=16 Succeeded, w=48\",\"Find(3)=3, Find(5)=0, Add (3,5)=27 Succeeded, w=75\",\"Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=75\",\"Find(2)=0, Find(4)=0, Add (2,4)=38 Failed, w=75\",\"Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=75\",\"Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=75\",\"Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=75\",\"Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=75\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=75\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=75\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=75\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,4],[0,3,45],[0,4,41],[0,5,29],[1,2,91],[1,3,78],[1,4,44],[1,5,14],[2,3,43],[2,4,38],[2,5,14],[3,4,94],[3,5,27],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,5)=14,(2,5)=14,(4,5)=16,(3,5)=27,(0,5)=29,(2,4)=38,(0,4)=41,(2,3)=43,(1,4)=44,(0,3)=45,(1,3)=78,(0,1)=79,(1,2)=91,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 1}, Find(2)=0, Find(5)=1, Add (2,5)=14 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=16 Succeeded, w=48\",\"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=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=38 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=75\",\"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=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,83],[0,2,8],[0,3,60],[0,4,92],[1,3,34],[1,4,92],[1,5,51],[2,3,77],[2,4,92],[2,5,47],[4,5,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,8],[0,3,60],[0,4,92],[1,3,34],[1,4,92],[1,5,51],[2,3,77],[2,4,92],[2,5,47],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,8],[0,3,60],[0,4,92],[1,3,34],[1,4,92],[1,5,51],[2,3,77],[2,4,92],[2,5,47],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (4,5)\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,8],[0,3,60],[0,4,92],[1,3,34],[1,4,92],[1,5,51],[2,3,77],[2,4,92],[2,5,47],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (1,3)=34, w=42\",\"Add (2,5)=47, w=89\",\"Add (1,5)=51, w=140\",\"Add (4,5)=61, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,8],[0,3,60],[0,4,92],[1,3,34],[1,4,92],[1,5,51],[2,3,77],[2,4,92],[2,5,47],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (1,3)=34 Succeeded, w=42\",\"Add (2,5)=47 Succeeded, w=89\",\"Add (1,5)=51 Succeeded, w=140\",\"Add (0,3)=60 Failed, w=140\",\"Add (4,5)=61 Succeeded, w=201\",\"Add (2,3)=77 Failed, w=201\",\"Add (0,1)=83 Failed, w=201\",\"Add (0,4)=92 Failed, w=201\",\"Add (1,4)=92 Failed, w=201\",\"Add (2,4)=92 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,8],[0,3,60],[0,4,92],[1,3,34],[1,4,92],[1,5,51],[2,3,77],[2,4,92],[2,5,47],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(1,3)=34,(2,5)=47,(1,5)=51,(0,3)=60,(4,5)=61,(2,3)=77,(0,1)=83,(0,4)=92,(1,4)=92,(2,4)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=42\",\"Find(2)=0, Find(5)=5, Add (2,5)=47 Succeeded, w=89\",\"Find(1)=1, Find(5)=0, Add (1,5)=51 Succeeded, w=140\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=140\",\"Find(4)=4, Find(5)=1, Add (4,5)=61 Succeeded, w=201\",\"Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=201\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=201\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=201\",\"Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=201\",\"Find(2)=1, Find(4)=1, Add (2,4)=92 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,8],[0,3,60],[0,4,92],[1,3,34],[1,4,92],[1,5,51],[2,3,77],[2,4,92],[2,5,47],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(1,3)=34,(2,5)=47,(1,5)=51,(0,3)=60,(4,5)=61,(2,3)=77,(0,1)=83,(0,4)=92,(1,4)=92,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=47 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=51 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=61 Succeeded, w=201\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=201\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=201\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=201\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=201\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=92 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,0],[0,3,92],[2,3,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,3,92],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,3,92],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,3,92],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (2,3)=28, w=28\",\"Add (0,3)=92, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,3,92],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (2,3)=28 Succeeded, w=28\",\"Add (0,3)=92 Succeeded, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,3,92],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,3)=28,(0,3)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=28\",\"Find(0)=0, Find(3)=2, Add (0,3)=92 Succeeded, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,3,92],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(2,3)=28,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=92 Succeeded, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,20],[0,2,25],[1,2,26],[1,3,77],[1,4,79],[2,4,46],[3,4,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,25],[1,2,26],[1,3,77],[1,4,79],[2,4,46],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,25],[1,2,26],[1,3,77],[1,4,79],[2,4,46],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,25],[1,2,26],[1,3,77],[1,4,79],[2,4,46],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20, w=20\",\"Add (0,2)=25, w=45\",\"Add (3,4)=26, w=71\",\"Add (2,4)=46, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,25],[1,2,26],[1,3,77],[1,4,79],[2,4,46],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=20 Succeeded, w=20\",\"Add (0,2)=25 Succeeded, w=45\",\"Add (1,2)=26 Failed, w=45\",\"Add (3,4)=26 Succeeded, w=71\",\"Add (2,4)=46 Succeeded, w=117\",\"Add (1,3)=77 Failed, w=117\",\"Add (1,4)=79 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,25],[1,2,26],[1,3,77],[1,4,79],[2,4,46],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(0,2)=25,(1,2)=26,(3,4)=26,(2,4)=46,(1,3)=77,(1,4)=79]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=45\",\"Find(1)=0, Find(2)=0, Add (1,2)=26 Failed, w=45\",\"Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=71\",\"Find(2)=0, Find(4)=3, Add (2,4)=46 Succeeded, w=117\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=117\",\"Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,25],[1,2,26],[1,3,77],[1,4,79],[2,4,46],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=20,(0,2)=25,(1,2)=26,(3,4)=26,(2,4)=46,(1,3)=77,(1,4)=79]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=26 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=46 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,21],[0,2,76],[0,4,91],[0,6,71],[1,2,60],[1,4,74],[1,5,81],[1,6,71],[1,7,23],[3,4,45],[3,5,78],[3,7,7],[4,6,29],[4,7,73],[5,6,38],[6,7,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,76],[0,4,91],[0,6,71],[1,2,60],[1,4,74],[1,5,81],[1,6,71],[1,7,23],[3,4,45],[3,5,78],[3,7,7],[4,6,29],[4,7,73],[5,6,38],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,76],[0,4,91],[0,6,71],[1,2,60],[1,4,74],[1,5,81],[1,6,71],[1,7,23],[3,4,45],[3,5,78],[3,7,7],[4,6,29],[4,7,73],[5,6,38],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,1)\",\"Add (1,7)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,76],[0,4,91],[0,6,71],[1,2,60],[1,4,74],[1,5,81],[1,6,71],[1,7,23],[3,4,45],[3,5,78],[3,7,7],[4,6,29],[4,7,73],[5,6,38],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=7, w=7\",\"Add (0,1)=21, w=28\",\"Add (1,7)=23, w=51\",\"Add (4,6)=29, w=80\",\"Add (5,6)=38, w=118\",\"Add (3,4)=45, w=163\",\"Add (1,2)=60, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,76],[0,4,91],[0,6,71],[1,2,60],[1,4,74],[1,5,81],[1,6,71],[1,7,23],[3,4,45],[3,5,78],[3,7,7],[4,6,29],[4,7,73],[5,6,38],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=7 Succeeded, w=7\",\"Add (0,1)=21 Succeeded, w=28\",\"Add (1,7)=23 Succeeded, w=51\",\"Add (4,6)=29 Succeeded, w=80\",\"Add (5,6)=38 Succeeded, w=118\",\"Add (3,4)=45 Succeeded, w=163\",\"Add (6,7)=49 Failed, w=163\",\"Add (1,2)=60 Succeeded, w=223\",\"Add (0,6)=71 Failed, w=223\",\"Add (1,6)=71 Failed, w=223\",\"Add (4,7)=73 Failed, w=223\",\"Add (1,4)=74 Failed, w=223\",\"Add (0,2)=76 Failed, w=223\",\"Add (3,5)=78 Failed, w=223\",\"Add (1,5)=81 Failed, w=223\",\"Add (0,4)=91 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,76],[0,4,91],[0,6,71],[1,2,60],[1,4,74],[1,5,81],[1,6,71],[1,7,23],[3,4,45],[3,5,78],[3,7,7],[4,6,29],[4,7,73],[5,6,38],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=7,(0,1)=21,(1,7)=23,(4,6)=29,(5,6)=38,(3,4)=45,(6,7)=49,(1,2)=60,(0,6)=71,(1,6)=71,(4,7)=73,(1,4)=74,(0,2)=76,(3,5)=78,(1,5)=81,(0,4)=91]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=28\",\"Find(1)=0, Find(7)=3, Add (1,7)=23 Succeeded, w=51\",\"Find(4)=4, Find(6)=6, Add (4,6)=29 Succeeded, w=80\",\"Find(5)=5, Find(6)=4, Add (5,6)=38 Succeeded, w=118\",\"Find(3)=0, Find(4)=4, Add (3,4)=45 Succeeded, w=163\",\"Find(6)=0, Find(7)=0, Add (6,7)=49 Failed, w=163\",\"Find(1)=0, Find(2)=2, Add (1,2)=60 Succeeded, w=223\",\"Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=223\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=223\",\"Find(4)=0, Find(7)=0, Add (4,7)=73 Failed, w=223\",\"Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=223\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=223\",\"Find(3)=0, Find(5)=0, Add (3,5)=78 Failed, w=223\",\"Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=223\",\"Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,76],[0,4,91],[0,6,71],[1,2,60],[1,4,74],[1,5,81],[1,6,71],[1,7,23],[3,4,45],[3,5,78],[3,7,7],[4,6,29],[4,7,73],[5,6,38],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=7,(0,1)=21,(1,7)=23,(4,6)=29,(5,6)=38,(3,4)=45,(6,7)=49,(1,2)=60,(0,6)=71,(1,6)=71,(4,7)=73,(1,4)=74,(0,2)=76,(3,5)=78,(1,5)=81,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 3}, Find(1)=0, Find(7)=3, Add (1,7)=23 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 3}, Find(4)=4, Find(6)=6, Add (4,6)=29 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 3}, Find(5)=5, Find(6)=4, Add (5,6)=38 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 4, 7: 3}, Find(3)=0, Find(4)=4, Add (3,4)=45 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=49 Failed, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=60 Succeeded, w=223\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=223\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=223\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=73 Failed, w=223\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=223\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=223\",\"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)=78 Failed, w=223\",\"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)=81 Failed, w=223\",\"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)=91 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,14],[0,5,78],[0,6,48],[1,5,30],[1,6,60],[2,4,4],[2,5,7],[4,5,8],[5,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,14],[0,5,78],[0,6,48],[1,5,30],[1,6,60],[2,4,4],[2,5,7],[4,5,8],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,14],[0,5,78],[0,6,48],[1,5,30],[1,6,60],[2,4,4],[2,5,7],[4,5,8],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (0,6)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,14],[0,5,78],[0,6,48],[1,5,30],[1,6,60],[2,4,4],[2,5,7],[4,5,8],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (2,5)=7, w=11\",\"Add (0,4)=14, w=25\",\"Add (1,5)=30, w=55\",\"Add (0,6)=48, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,14],[0,5,78],[0,6,48],[1,5,30],[1,6,60],[2,4,4],[2,5,7],[4,5,8],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (2,5)=7 Succeeded, w=11\",\"Add (4,5)=8 Failed, w=11\",\"Add (0,4)=14 Succeeded, w=25\",\"Add (1,5)=30 Succeeded, w=55\",\"Add (0,6)=48 Succeeded, w=103\",\"Add (1,6)=60 Failed, w=103\",\"Add (0,5)=78 Failed, w=103\",\"Add (5,6)=82 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,14],[0,5,78],[0,6,48],[1,5,30],[1,6,60],[2,4,4],[2,5,7],[4,5,8],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(2,5)=7,(4,5)=8,(0,4)=14,(1,5)=30,(0,6)=48,(1,6)=60,(0,5)=78,(5,6)=82]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=11\",\"Find(4)=2, Find(5)=2, Add (4,5)=8 Failed, w=11\",\"Find(0)=0, Find(4)=2, Add (0,4)=14 Succeeded, w=25\",\"Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=55\",\"Find(0)=2, Find(6)=6, Add (0,6)=48 Succeeded, w=103\",\"Find(1)=2, Find(6)=2, Add (1,6)=60 Failed, w=103\",\"Find(0)=2, Find(5)=2, Add (0,5)=78 Failed, w=103\",\"Find(5)=2, Find(6)=2, Add (5,6)=82 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,14],[0,5,78],[0,6,48],[1,5,30],[1,6,60],[2,4,4],[2,5,7],[4,5,8],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(2,5)=7,(4,5)=8,(0,4)=14,(1,5)=30,(0,6)=48,(1,6)=60,(0,5)=78,(5,6)=82]\",\"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: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(4)=2, Find(5)=2, Add (4,5)=8 Failed, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(0)=0, Find(4)=2, Add (0,4)=14 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=6, Add (0,6)=48 Succeeded, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=60 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=78 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=82 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,73],[0,5,98],[0,6,49],[1,3,50],[1,5,84],[1,6,8],[3,6,50],[4,5,81],[5,6,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,73],[0,5,98],[0,6,49],[1,3,50],[1,5,84],[1,6,8],[3,6,50],[4,5,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":283}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,73],[0,5,98],[0,6,49],[1,3,50],[1,5,84],[1,6,8],[3,6,50],[4,5,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (4,5)\"],\"Answer\":283}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,73],[0,5,98],[0,6,49],[1,3,50],[1,5,84],[1,6,8],[3,6,50],[4,5,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8, w=8\",\"Add (5,6)=22, w=30\",\"Add (0,6)=49, w=79\",\"Add (1,3)=50, w=129\",\"Add (0,2)=73, w=202\",\"Add (4,5)=81, w=283\"],\"Answer\":283}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,73],[0,5,98],[0,6,49],[1,3,50],[1,5,84],[1,6,8],[3,6,50],[4,5,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8 Succeeded, w=8\",\"Add (5,6)=22 Succeeded, w=30\",\"Add (0,6)=49 Succeeded, w=79\",\"Add (1,3)=50 Succeeded, w=129\",\"Add (3,6)=50 Failed, w=129\",\"Add (0,2)=73 Succeeded, w=202\",\"Add (4,5)=81 Succeeded, w=283\",\"Add (1,5)=84 Failed, w=283\",\"Add (0,5)=98 Failed, w=283\"],\"Answer\":283}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,73],[0,5,98],[0,6,49],[1,3,50],[1,5,84],[1,6,8],[3,6,50],[4,5,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(5,6)=22,(0,6)=49,(1,3)=50,(3,6)=50,(0,2)=73,(4,5)=81,(1,5)=84,(0,5)=98]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Find(5)=5, Find(6)=1, Add (5,6)=22 Succeeded, w=30\",\"Find(0)=0, Find(6)=1, Add (0,6)=49 Succeeded, w=79\",\"Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=129\",\"Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=129\",\"Find(0)=1, Find(2)=2, Add (0,2)=73 Succeeded, w=202\",\"Find(4)=4, Find(5)=1, Add (4,5)=81 Succeeded, w=283\",\"Find(1)=1, Find(5)=1, Add (1,5)=84 Failed, w=283\",\"Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=283\"],\"Answer\":283}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,73],[0,5,98],[0,6,49],[1,3,50],[1,5,84],[1,6,8],[3,6,50],[4,5,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(5,6)=22,(0,6)=49,(1,3)=50,(3,6)=50,(0,2)=73,(4,5)=81,(1,5)=84,(0,5)=98]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=22 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=49 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=50 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(2)=2, Add (0,2)=73 Succeeded, w=202\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=4, Find(5)=1, Add (4,5)=81 Succeeded, w=283\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=84 Failed, w=283\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=283\"],\"Answer\":283}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,94],[0,3,51],[0,4,52],[0,5,63],[1,2,74],[1,4,87],[1,5,68],[2,3,44],[2,4,95],[2,5,93],[3,4,56],[3,5,60],[4,5,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,94],[0,3,51],[0,4,52],[0,5,63],[1,2,74],[1,4,87],[1,5,68],[2,3,44],[2,4,95],[2,5,93],[3,4,56],[3,5,60],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,94],[0,3,51],[0,4,52],[0,5,63],[1,2,74],[1,4,87],[1,5,68],[2,3,44],[2,4,95],[2,5,93],[3,4,56],[3,5,60],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,94],[0,3,51],[0,4,52],[0,5,63],[1,2,74],[1,4,87],[1,5,68],[2,3,44],[2,4,95],[2,5,93],[3,4,56],[3,5,60],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=33, w=33\",\"Add (2,3)=44, w=77\",\"Add (0,3)=51, w=128\",\"Add (0,4)=52, w=180\",\"Add (1,5)=68, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,94],[0,3,51],[0,4,52],[0,5,63],[1,2,74],[1,4,87],[1,5,68],[2,3,44],[2,4,95],[2,5,93],[3,4,56],[3,5,60],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=33 Succeeded, w=33\",\"Add (2,3)=44 Succeeded, w=77\",\"Add (0,3)=51 Succeeded, w=128\",\"Add (0,4)=52 Succeeded, w=180\",\"Add (3,4)=56 Failed, w=180\",\"Add (3,5)=60 Failed, w=180\",\"Add (0,5)=63 Failed, w=180\",\"Add (1,5)=68 Succeeded, w=248\",\"Add (1,2)=74 Failed, w=248\",\"Add (1,4)=87 Failed, w=248\",\"Add (2,5)=93 Failed, w=248\",\"Add (0,2)=94 Failed, w=248\",\"Add (2,4)=95 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,94],[0,3,51],[0,4,52],[0,5,63],[1,2,74],[1,4,87],[1,5,68],[2,3,44],[2,4,95],[2,5,93],[3,4,56],[3,5,60],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=33,(2,3)=44,(0,3)=51,(0,4)=52,(3,4)=56,(3,5)=60,(0,5)=63,(1,5)=68,(1,2)=74,(1,4)=87,(2,5)=93,(0,2)=94,(2,4)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=33 Succeeded, w=33\",\"Find(2)=2, Find(3)=3, Add (2,3)=44 Succeeded, w=77\",\"Find(0)=0, Find(3)=2, Add (0,3)=51 Succeeded, w=128\",\"Find(0)=2, Find(4)=4, Add (0,4)=52 Succeeded, w=180\",\"Find(3)=2, Find(4)=2, Add (3,4)=56 Failed, w=180\",\"Find(3)=2, Find(5)=2, Add (3,5)=60 Failed, w=180\",\"Find(0)=2, Find(5)=2, Add (0,5)=63 Failed, w=180\",\"Find(1)=1, Find(5)=2, Add (1,5)=68 Succeeded, w=248\",\"Find(1)=2, Find(2)=2, Add (1,2)=74 Failed, w=248\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=248\",\"Find(2)=2, Find(5)=2, Add (2,5)=93 Failed, w=248\",\"Find(0)=2, Find(2)=2, Add (0,2)=94 Failed, w=248\",\"Find(2)=2, Find(4)=2, Add (2,4)=95 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,94],[0,3,51],[0,4,52],[0,5,63],[1,2,74],[1,4,87],[1,5,68],[2,3,44],[2,4,95],[2,5,93],[3,4,56],[3,5,60],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=33,(2,3)=44,(0,3)=51,(0,4)=52,(3,4)=56,(3,5)=60,(0,5)=63,(1,5)=68,(1,2)=74,(1,4)=87,(2,5)=93,(0,2)=94,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(2)=2, Find(3)=3, Add (2,3)=44 Succeeded, w=77\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4}, Find(0)=0, Find(3)=2, Add (0,3)=51 Succeeded, w=128\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(0)=2, Find(4)=4, Add (0,4)=52 Succeeded, w=180\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4}, Find(3)=2, Find(4)=2, Add (3,4)=56 Failed, w=180\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=60 Failed, w=180\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=63 Failed, w=180\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=68 Succeeded, w=248\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=74 Failed, w=248\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=248\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=93 Failed, w=248\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=94 Failed, w=248\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=95 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
|
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