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
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,64],[0,2,18],[0,5,15],[0,6,61],[1,2,17],[1,3,41],[1,4,11],[1,6,54],[2,3,6],[2,5,24],[2,6,0],[3,4,9],[3,5,18],[3,6,75],[4,5,9],[5,6,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,18],[0,5,15],[0,6,61],[1,2,17],[1,3,41],[1,4,11],[1,6,54],[2,3,6],[2,5,24],[2,6,0],[3,4,9],[3,5,18],[3,6,75],[4,5,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,18],[0,5,15],[0,6,61],[1,2,17],[1,3,41],[1,4,11],[1,6,54],[2,3,6],[2,5,24],[2,6,0],[3,4,9],[3,5,18],[3,6,75],[4,5,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (0,5)\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,18],[0,5,15],[0,6,61],[1,2,17],[1,3,41],[1,4,11],[1,6,54],[2,3,6],[2,5,24],[2,6,0],[3,4,9],[3,5,18],[3,6,75],[4,5,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0, w=0\",\"Add (2,3)=6, w=6\",\"Add (3,4)=9, w=15\",\"Add (4,5)=9, w=24\",\"Add (1,4)=11, w=35\",\"Add (0,5)=15, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,18],[0,5,15],[0,6,61],[1,2,17],[1,3,41],[1,4,11],[1,6,54],[2,3,6],[2,5,24],[2,6,0],[3,4,9],[3,5,18],[3,6,75],[4,5,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0 Succeeded, w=0\",\"Add (2,3)=6 Succeeded, w=6\",\"Add (3,4)=9 Succeeded, w=15\",\"Add (4,5)=9 Succeeded, w=24\",\"Add (1,4)=11 Succeeded, w=35\",\"Add (0,5)=15 Succeeded, w=50\",\"Add (1,2)=17 Failed, w=50\",\"Add (0,2)=18 Failed, w=50\",\"Add (3,5)=18 Failed, w=50\",\"Add (2,5)=24 Failed, w=50\",\"Add (1,3)=41 Failed, w=50\",\"Add (1,6)=54 Failed, w=50\",\"Add (0,6)=61 Failed, w=50\",\"Add (0,1)=64 Failed, w=50\",\"Add (3,6)=75 Failed, w=50\",\"Add (5,6)=91 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,18],[0,5,15],[0,6,61],[1,2,17],[1,3,41],[1,4,11],[1,6,54],[2,3,6],[2,5,24],[2,6,0],[3,4,9],[3,5,18],[3,6,75],[4,5,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(2,3)=6,(3,4)=9,(4,5)=9,(1,4)=11,(0,5)=15,(1,2)=17,(0,2)=18,(3,5)=18,(2,5)=24,(1,3)=41,(1,6)=54,(0,6)=61,(0,1)=64,(3,6)=75,(5,6)=91]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(3)=2, Find(4)=4, Add (3,4)=9 Succeeded, w=15\",\"Find(4)=2, Find(5)=5, Add (4,5)=9 Succeeded, w=24\",\"Find(1)=1, Find(4)=2, Add (1,4)=11 Succeeded, w=35\",\"Find(0)=0, Find(5)=2, Add (0,5)=15 Succeeded, w=50\",\"Find(1)=2, Find(2)=2, Add (1,2)=17 Failed, w=50\",\"Find(0)=2, Find(2)=2, Add (0,2)=18 Failed, w=50\",\"Find(3)=2, Find(5)=2, Add (3,5)=18 Failed, w=50\",\"Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=50\",\"Find(1)=2, Find(3)=2, Add (1,3)=41 Failed, w=50\",\"Find(1)=2, Find(6)=2, Add (1,6)=54 Failed, w=50\",\"Find(0)=2, Find(6)=2, Add (0,6)=61 Failed, w=50\",\"Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=50\",\"Find(3)=2, Find(6)=2, Add (3,6)=75 Failed, w=50\",\"Find(5)=2, Find(6)=2, Add (5,6)=91 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,18],[0,5,15],[0,6,61],[1,2,17],[1,3,41],[1,4,11],[1,6,54],[2,3,6],[2,5,24],[2,6,0],[3,4,9],[3,5,18],[3,6,75],[4,5,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(2,3)=6,(3,4)=9,(4,5)=9,(1,4)=11,(0,5)=15,(1,2)=17,(0,2)=18,(3,5)=18,(2,5)=24,(1,3)=41,(1,6)=54,(0,6)=61,(0,1)=64,(3,6)=75,(5,6)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(4)=4, Add (3,4)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=5, Add (4,5)=9 Succeeded, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(4)=2, Add (1,4)=11 Succeeded, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(5)=2, Add (0,5)=15 Succeeded, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=17 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=18 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=18 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=41 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=54 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=61 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=75 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=91 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,90],[0,2,84],[0,3,58],[0,4,93],[0,6,24],[1,2,100],[1,3,61],[1,4,7],[2,3,97],[2,4,64],[2,5,91],[2,6,1],[3,4,32],[3,6,54],[4,5,67],[5,6,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,84],[0,3,58],[0,4,93],[0,6,24],[1,2,100],[1,3,61],[1,4,7],[2,3,97],[2,4,64],[2,5,91],[2,6,1],[3,4,32],[3,6,54],[4,5,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,84],[0,3,58],[0,4,93],[0,6,24],[1,2,100],[1,3,61],[1,4,7],[2,3,97],[2,4,64],[2,5,91],[2,6,1],[3,4,32],[3,6,54],[4,5,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,4)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (3,6)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,84],[0,3,58],[0,4,93],[0,6,24],[1,2,100],[1,3,61],[1,4,7],[2,3,97],[2,4,64],[2,5,91],[2,6,1],[3,4,32],[3,6,54],[4,5,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (1,4)=7, w=8\",\"Add (5,6)=23, w=31\",\"Add (0,6)=24, w=55\",\"Add (3,4)=32, w=87\",\"Add (3,6)=54, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,84],[0,3,58],[0,4,93],[0,6,24],[1,2,100],[1,3,61],[1,4,7],[2,3,97],[2,4,64],[2,5,91],[2,6,1],[3,4,32],[3,6,54],[4,5,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (1,4)=7 Succeeded, w=8\",\"Add (5,6)=23 Succeeded, w=31\",\"Add (0,6)=24 Succeeded, w=55\",\"Add (3,4)=32 Succeeded, w=87\",\"Add (3,6)=54 Succeeded, w=141\",\"Add (0,3)=58 Failed, w=141\",\"Add (1,3)=61 Failed, w=141\",\"Add (2,4)=64 Failed, w=141\",\"Add (4,5)=67 Failed, w=141\",\"Add (0,2)=84 Failed, w=141\",\"Add (0,1)=90 Failed, w=141\",\"Add (2,5)=91 Failed, w=141\",\"Add (0,4)=93 Failed, w=141\",\"Add (2,3)=97 Failed, w=141\",\"Add (1,2)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,84],[0,3,58],[0,4,93],[0,6,24],[1,2,100],[1,3,61],[1,4,7],[2,3,97],[2,4,64],[2,5,91],[2,6,1],[3,4,32],[3,6,54],[4,5,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(1,4)=7,(5,6)=23,(0,6)=24,(3,4)=32,(3,6)=54,(0,3)=58,(1,3)=61,(2,4)=64,(4,5)=67,(0,2)=84,(0,1)=90,(2,5)=91,(0,4)=93,(2,3)=97,(1,2)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=8\",\"Find(5)=5, Find(6)=2, Add (5,6)=23 Succeeded, w=31\",\"Find(0)=0, Find(6)=2, Add (0,6)=24 Succeeded, w=55\",\"Find(3)=3, Find(4)=1, Add (3,4)=32 Succeeded, w=87\",\"Find(3)=1, Find(6)=2, Add (3,6)=54 Succeeded, w=141\",\"Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=141\",\"Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=141\",\"Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=141\",\"Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=141\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=141\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=141\",\"Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=141\",\"Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=141\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=141\",\"Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,84],[0,3,58],[0,4,93],[0,6,24],[1,2,100],[1,3,61],[1,4,7],[2,3,97],[2,4,64],[2,5,91],[2,6,1],[3,4,32],[3,6,54],[4,5,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(1,4)=7,(5,6)=23,(0,6)=24,(3,4)=32,(3,6)=54,(0,3)=58,(1,3)=61,(2,4)=64,(4,5)=67,(0,2)=84,(0,1)=90,(2,5)=91,(0,4)=93,(2,3)=97,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2}, Find(5)=5, Find(6)=2, Add (5,6)=23 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=24 Succeeded, w=55\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(3)=3, Find(4)=1, Add (3,4)=32 Succeeded, w=87\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 2}, Find(3)=1, Find(6)=2, Add (3,6)=54 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 2}, Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 2}, Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 2}, Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,29],[0,3,6],[1,2,27],[1,3,47],[2,3,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,29],[0,3,6],[1,2,27],[1,3,47],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,29],[0,3,6],[1,2,27],[1,3,47],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,29],[0,3,6],[1,2,27],[1,3,47],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (1,2)=27, w=33\",\"Add (0,2)=29, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,29],[0,3,6],[1,2,27],[1,3,47],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (1,2)=27 Succeeded, w=33\",\"Add (0,2)=29 Succeeded, w=62\",\"Add (1,3)=47 Failed, w=62\",\"Add (2,3)=85 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,29],[0,3,6],[1,2,27],[1,3,47],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,2)=27,(0,2)=29,(1,3)=47,(2,3)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=33\",\"Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=62\",\"Find(1)=0, Find(3)=0, Add (1,3)=47 Failed, w=62\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,29],[0,3,6],[1,2,27],[1,3,47],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,2)=27,(0,2)=29,(1,3)=47,(2,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=47 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,66],[0,2,59],[0,4,1],[0,5,64],[1,2,42],[1,4,16],[1,5,9],[2,3,22],[2,4,91],[2,5,60],[3,4,38],[3,5,31],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,59],[0,4,1],[0,5,64],[1,2,42],[1,4,16],[1,5,9],[2,3,22],[2,4,91],[2,5,60],[3,4,38],[3,5,31],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,59],[0,4,1],[0,5,64],[1,2,42],[1,4,16],[1,5,9],[2,3,22],[2,4,91],[2,5,60],[3,4,38],[3,5,31],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (3,5)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,59],[0,4,1],[0,5,64],[1,2,42],[1,4,16],[1,5,9],[2,3,22],[2,4,91],[2,5,60],[3,4,38],[3,5,31],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (1,5)=9, w=10\",\"Add (1,4)=16, w=26\",\"Add (2,3)=22, w=48\",\"Add (3,5)=31, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,59],[0,4,1],[0,5,64],[1,2,42],[1,4,16],[1,5,9],[2,3,22],[2,4,91],[2,5,60],[3,4,38],[3,5,31],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (1,5)=9 Succeeded, w=10\",\"Add (1,4)=16 Succeeded, w=26\",\"Add (2,3)=22 Succeeded, w=48\",\"Add (3,5)=31 Succeeded, w=79\",\"Add (4,5)=31 Failed, w=79\",\"Add (3,4)=38 Failed, w=79\",\"Add (1,2)=42 Failed, w=79\",\"Add (0,2)=59 Failed, w=79\",\"Add (2,5)=60 Failed, w=79\",\"Add (0,5)=64 Failed, w=79\",\"Add (0,1)=66 Failed, w=79\",\"Add (2,4)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,59],[0,4,1],[0,5,64],[1,2,42],[1,4,16],[1,5,9],[2,3,22],[2,4,91],[2,5,60],[3,4,38],[3,5,31],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,5)=9,(1,4)=16,(2,3)=22,(3,5)=31,(4,5)=31,(3,4)=38,(1,2)=42,(0,2)=59,(2,5)=60,(0,5)=64,(0,1)=66,(2,4)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=10\",\"Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=48\",\"Find(3)=2, Find(5)=1, Add (3,5)=31 Succeeded, w=79\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=79\",\"Find(3)=1, Find(4)=1, Add (3,4)=38 Failed, w=79\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=79\",\"Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=79\",\"Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=79\",\"Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=79\",\"Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=79\",\"Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,59],[0,4,1],[0,5,64],[1,2,42],[1,4,16],[1,5,9],[2,3,22],[2,4,91],[2,5,60],[3,4,38],[3,5,31],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,5)=9,(1,4)=16,(2,3)=22,(3,5)=31,(4,5)=31,(3,4)=38,(1,2)=42,(0,2)=59,(2,5)=60,(0,5)=64,(0,1)=66,(2,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 0, 5: 1}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 0, 5: 1}, Find(3)=2, Find(5)=1, Add (3,5)=31 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=38 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,84],[0,2,17],[0,4,9],[0,5,18],[0,6,10],[0,7,26],[1,3,5],[1,4,27],[1,5,14],[1,6,22],[1,7,99],[2,3,8],[2,4,72],[2,5,22],[2,6,9],[2,7,49],[3,4,58],[3,5,7],[3,6,7],[3,7,42],[4,5,73],[4,6,51],[4,7,71],[5,6,41],[5,7,79],[6,7,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,17],[0,4,9],[0,5,18],[0,6,10],[0,7,26],[1,3,5],[1,4,27],[1,5,14],[1,6,22],[1,7,99],[2,3,8],[2,4,72],[2,5,22],[2,6,9],[2,7,49],[3,4,58],[3,5,7],[3,6,7],[3,7,42],[4,5,73],[4,6,51],[4,7,71],[5,6,41],[5,7,79],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,17],[0,4,9],[0,5,18],[0,6,10],[0,7,26],[1,3,5],[1,4,27],[1,5,14],[1,6,22],[1,7,99],[2,3,8],[2,4,72],[2,5,22],[2,6,9],[2,7,49],[3,4,58],[3,5,7],[3,6,7],[3,7,42],[4,5,73],[4,6,51],[4,7,71],[5,6,41],[5,7,79],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,5)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (0,7)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,17],[0,4,9],[0,5,18],[0,6,10],[0,7,26],[1,3,5],[1,4,27],[1,5,14],[1,6,22],[1,7,99],[2,3,8],[2,4,72],[2,5,22],[2,6,9],[2,7,49],[3,4,58],[3,5,7],[3,6,7],[3,7,42],[4,5,73],[4,6,51],[4,7,71],[5,6,41],[5,7,79],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (3,5)=7, w=12\",\"Add (3,6)=7, w=19\",\"Add (2,3)=8, w=27\",\"Add (0,4)=9, w=36\",\"Add (0,6)=10, w=46\",\"Add (0,7)=26, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,17],[0,4,9],[0,5,18],[0,6,10],[0,7,26],[1,3,5],[1,4,27],[1,5,14],[1,6,22],[1,7,99],[2,3,8],[2,4,72],[2,5,22],[2,6,9],[2,7,49],[3,4,58],[3,5,7],[3,6,7],[3,7,42],[4,5,73],[4,6,51],[4,7,71],[5,6,41],[5,7,79],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (3,5)=7 Succeeded, w=12\",\"Add (3,6)=7 Succeeded, w=19\",\"Add (2,3)=8 Succeeded, w=27\",\"Add (0,4)=9 Succeeded, w=36\",\"Add (2,6)=9 Failed, w=36\",\"Add (0,6)=10 Succeeded, w=46\",\"Add (1,5)=14 Failed, w=46\",\"Add (0,2)=17 Failed, w=46\",\"Add (0,5)=18 Failed, w=46\",\"Add (1,6)=22 Failed, w=46\",\"Add (2,5)=22 Failed, w=46\",\"Add (0,7)=26 Succeeded, w=72\",\"Add (1,4)=27 Failed, w=72\",\"Add (5,6)=41 Failed, w=72\",\"Add (3,7)=42 Failed, w=72\",\"Add (2,7)=49 Failed, w=72\",\"Add (4,6)=51 Failed, w=72\",\"Add (3,4)=58 Failed, w=72\",\"Add (4,7)=71 Failed, w=72\",\"Add (2,4)=72 Failed, w=72\",\"Add (4,5)=73 Failed, w=72\",\"Add (5,7)=79 Failed, w=72\",\"Add (6,7)=80 Failed, w=72\",\"Add (0,1)=84 Failed, w=72\",\"Add (1,7)=99 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,17],[0,4,9],[0,5,18],[0,6,10],[0,7,26],[1,3,5],[1,4,27],[1,5,14],[1,6,22],[1,7,99],[2,3,8],[2,4,72],[2,5,22],[2,6,9],[2,7,49],[3,4,58],[3,5,7],[3,6,7],[3,7,42],[4,5,73],[4,6,51],[4,7,71],[5,6,41],[5,7,79],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(3,5)=7,(3,6)=7,(2,3)=8,(0,4)=9,(2,6)=9,(0,6)=10,(1,5)=14,(0,2)=17,(0,5)=18,(1,6)=22,(2,5)=22,(0,7)=26,(1,4)=27,(5,6)=41,(3,7)=42,(2,7)=49,(4,6)=51,(3,4)=58,(4,7)=71,(2,4)=72,(4,5)=73,(5,7)=79,(6,7)=80,(0,1)=84,(1,7)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(3)=1, Find(5)=5, Add (3,5)=7 Succeeded, w=12\",\"Find(3)=1, Find(6)=6, Add (3,6)=7 Succeeded, w=19\",\"Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=27\",\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=36\",\"Find(2)=1, Find(6)=1, Add (2,6)=9 Failed, w=36\",\"Find(0)=0, Find(6)=1, Add (0,6)=10 Succeeded, w=46\",\"Find(1)=0, Find(5)=0, Add (1,5)=14 Failed, w=46\",\"Find(0)=0, Find(2)=0, Add (0,2)=17 Failed, w=46\",\"Find(0)=0, Find(5)=0, Add (0,5)=18 Failed, w=46\",\"Find(1)=0, Find(6)=0, Add (1,6)=22 Failed, w=46\",\"Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=46\",\"Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=72\",\"Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=72\",\"Find(5)=0, Find(6)=0, Add (5,6)=41 Failed, w=72\",\"Find(3)=0, Find(7)=0, Add (3,7)=42 Failed, w=72\",\"Find(2)=0, Find(7)=0, Add (2,7)=49 Failed, w=72\",\"Find(4)=0, Find(6)=0, Add (4,6)=51 Failed, w=72\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=72\",\"Find(4)=0, Find(7)=0, Add (4,7)=71 Failed, w=72\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=72\",\"Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=72\",\"Find(5)=0, Find(7)=0, Add (5,7)=79 Failed, w=72\",\"Find(6)=0, Find(7)=0, Add (6,7)=80 Failed, w=72\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=72\",\"Find(1)=0, Find(7)=0, Add (1,7)=99 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,17],[0,4,9],[0,5,18],[0,6,10],[0,7,26],[1,3,5],[1,4,27],[1,5,14],[1,6,22],[1,7,99],[2,3,8],[2,4,72],[2,5,22],[2,6,9],[2,7,49],[3,4,58],[3,5,7],[3,6,7],[3,7,42],[4,5,73],[4,6,51],[4,7,71],[5,6,41],[5,7,79],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(3,5)=7,(3,6)=7,(2,3)=8,(0,4)=9,(2,6)=9,(0,6)=10,(1,5)=14,(0,2)=17,(0,5)=18,(1,6)=22,(2,5)=22,(0,7)=26,(1,4)=27,(5,6)=41,(3,7)=42,(2,7)=49,(4,6)=51,(3,4)=58,(4,7)=71,(2,4)=72,(4,5)=73,(5,7)=79,(6,7)=80,(0,1)=84,(1,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(3)=1, Find(5)=5, Add (3,5)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(6)=6, Add (3,6)=7 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 7}, Find(2)=2, Find(3)=1, Add (2,3)=8 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(6)=1, Add (2,6)=9 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 7}, Find(0)=0, Find(6)=1, Add (0,6)=10 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 1, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=14 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(2)=0, Add (0,2)=17 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=18 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(6)=0, Add (1,6)=22 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=27 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=41 Failed, w=72\",\"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)=42 Failed, w=72\",\"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)=49 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=51 Failed, w=72\",\"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)=58 Failed, w=72\",\"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)=71 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=72\",\"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)=73 Failed, w=72\",\"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)=79 Failed, w=72\",\"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)=80 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=99 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,38],[0,2,79],[0,4,77],[0,5,92],[0,6,10],[1,2,6],[1,3,9],[1,4,35],[1,5,92],[1,6,44],[2,3,59],[2,4,30],[2,5,23],[2,6,33],[3,4,59],[3,5,21],[3,6,77],[4,5,49],[4,6,43],[5,6,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,79],[0,4,77],[0,5,92],[0,6,10],[1,2,6],[1,3,9],[1,4,35],[1,5,92],[1,6,44],[2,3,59],[2,4,30],[2,5,23],[2,6,33],[3,4,59],[3,5,21],[3,6,77],[4,5,49],[4,6,43],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,79],[0,4,77],[0,5,92],[0,6,10],[1,2,6],[1,3,9],[1,4,35],[1,5,92],[1,6,44],[2,3,59],[2,4,30],[2,5,23],[2,6,33],[3,4,59],[3,5,21],[3,6,77],[4,5,49],[4,6,43],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (2,4)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,79],[0,4,77],[0,5,92],[0,6,10],[1,2,6],[1,3,9],[1,4,35],[1,5,92],[1,6,44],[2,3,59],[2,4,30],[2,5,23],[2,6,33],[3,4,59],[3,5,21],[3,6,77],[4,5,49],[4,6,43],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (1,3)=9, w=15\",\"Add (0,6)=10, w=25\",\"Add (5,6)=13, w=38\",\"Add (3,5)=21, w=59\",\"Add (2,4)=30, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,79],[0,4,77],[0,5,92],[0,6,10],[1,2,6],[1,3,9],[1,4,35],[1,5,92],[1,6,44],[2,3,59],[2,4,30],[2,5,23],[2,6,33],[3,4,59],[3,5,21],[3,6,77],[4,5,49],[4,6,43],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (1,3)=9 Succeeded, w=15\",\"Add (0,6)=10 Succeeded, w=25\",\"Add (5,6)=13 Succeeded, w=38\",\"Add (3,5)=21 Succeeded, w=59\",\"Add (2,5)=23 Failed, w=59\",\"Add (2,4)=30 Succeeded, w=89\",\"Add (2,6)=33 Failed, w=89\",\"Add (1,4)=35 Failed, w=89\",\"Add (0,1)=38 Failed, w=89\",\"Add (4,6)=43 Failed, w=89\",\"Add (1,6)=44 Failed, w=89\",\"Add (4,5)=49 Failed, w=89\",\"Add (2,3)=59 Failed, w=89\",\"Add (3,4)=59 Failed, w=89\",\"Add (0,4)=77 Failed, w=89\",\"Add (3,6)=77 Failed, w=89\",\"Add (0,2)=79 Failed, w=89\",\"Add (0,5)=92 Failed, w=89\",\"Add (1,5)=92 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,79],[0,4,77],[0,5,92],[0,6,10],[1,2,6],[1,3,9],[1,4,35],[1,5,92],[1,6,44],[2,3,59],[2,4,30],[2,5,23],[2,6,33],[3,4,59],[3,5,21],[3,6,77],[4,5,49],[4,6,43],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,3)=9,(0,6)=10,(5,6)=13,(3,5)=21,(2,5)=23,(2,4)=30,(2,6)=33,(1,4)=35,(0,1)=38,(4,6)=43,(1,6)=44,(4,5)=49,(2,3)=59,(3,4)=59,(0,4)=77,(3,6)=77,(0,2)=79,(0,5)=92,(1,5)=92]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=15\",\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=25\",\"Find(5)=5, Find(6)=0, Add (5,6)=13 Succeeded, w=38\",\"Find(3)=1, Find(5)=0, Add (3,5)=21 Succeeded, w=59\",\"Find(2)=1, Find(5)=1, Add (2,5)=23 Failed, w=59\",\"Find(2)=1, Find(4)=4, Add (2,4)=30 Succeeded, w=89\",\"Find(2)=1, Find(6)=1, Add (2,6)=33 Failed, w=89\",\"Find(1)=1, Find(4)=1, Add (1,4)=35 Failed, w=89\",\"Find(0)=1, Find(1)=1, Add (0,1)=38 Failed, w=89\",\"Find(4)=1, Find(6)=1, Add (4,6)=43 Failed, w=89\",\"Find(1)=1, Find(6)=1, Add (1,6)=44 Failed, w=89\",\"Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=89\",\"Find(2)=1, Find(3)=1, Add (2,3)=59 Failed, w=89\",\"Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=89\",\"Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=89\",\"Find(3)=1, Find(6)=1, Add (3,6)=77 Failed, w=89\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=89\",\"Find(0)=1, Find(5)=1, Add (0,5)=92 Failed, w=89\",\"Find(1)=1, Find(5)=1, Add (1,5)=92 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,79],[0,4,77],[0,5,92],[0,6,10],[1,2,6],[1,3,9],[1,4,35],[1,5,92],[1,6,44],[2,3,59],[2,4,30],[2,5,23],[2,6,33],[3,4,59],[3,5,21],[3,6,77],[4,5,49],[4,6,43],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,3)=9,(0,6)=10,(5,6)=13,(3,5)=21,(2,5)=23,(2,4)=30,(2,6)=33,(1,4)=35,(0,1)=38,(4,6)=43,(1,6)=44,(4,5)=49,(2,3)=59,(3,4)=59,(0,4)=77,(3,6)=77,(0,2)=79,(0,5)=92,(1,5)=92]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=13 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 0}, Find(3)=1, Find(5)=0, Add (3,5)=21 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 0}, Find(2)=1, Find(5)=1, Add (2,5)=23 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(2)=1, Find(4)=4, Add (2,4)=30 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=33 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=35 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=38 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=43 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=44 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=59 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=77 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=77 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=92 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=92 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,92],[0,2,77],[0,3,71],[1,2,3],[1,3,4],[2,3,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,77],[0,3,71],[1,2,3],[1,3,4],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,77],[0,3,71],[1,2,3],[1,3,4],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,77],[0,3,71],[1,2,3],[1,3,4],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (1,3)=4, w=7\",\"Add (0,3)=71, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,77],[0,3,71],[1,2,3],[1,3,4],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (1,3)=4 Succeeded, w=7\",\"Add (2,3)=19 Failed, w=7\",\"Add (0,3)=71 Succeeded, w=78\",\"Add (0,2)=77 Failed, w=78\",\"Add (0,1)=92 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,77],[0,3,71],[1,2,3],[1,3,4],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,3)=4,(2,3)=19,(0,3)=71,(0,2)=77,(0,1)=92]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=7\",\"Find(2)=1, Find(3)=1, Add (2,3)=19 Failed, w=7\",\"Find(0)=0, Find(3)=1, Add (0,3)=71 Succeeded, w=78\",\"Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=78\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,77],[0,3,71],[1,2,3],[1,3,4],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,3)=4,(2,3)=19,(0,3)=71,(0,2)=77,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=19 Failed, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=71 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,63],[0,2,1],[0,3,60],[1,2,12],[1,3,12],[1,4,4],[1,5,58],[2,3,7],[2,4,52],[2,5,2],[3,4,39],[3,5,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,60],[1,2,12],[1,3,12],[1,4,4],[1,5,58],[2,3,7],[2,4,52],[2,5,2],[3,4,39],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,60],[1,2,12],[1,3,12],[1,4,4],[1,5,58],[2,3,7],[2,4,52],[2,5,2],[3,4,39],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (1,2)\"],\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,60],[1,2,12],[1,3,12],[1,4,4],[1,5,58],[2,3,7],[2,4,52],[2,5,2],[3,4,39],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (2,5)=2, w=3\",\"Add (1,4)=4, w=7\",\"Add (3,5)=4, w=11\",\"Add (1,2)=12, w=23\"],\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,60],[1,2,12],[1,3,12],[1,4,4],[1,5,58],[2,3,7],[2,4,52],[2,5,2],[3,4,39],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (2,5)=2 Succeeded, w=3\",\"Add (1,4)=4 Succeeded, w=7\",\"Add (3,5)=4 Succeeded, w=11\",\"Add (2,3)=7 Failed, w=11\",\"Add (1,2)=12 Succeeded, w=23\",\"Add (1,3)=12 Failed, w=23\",\"Add (3,4)=39 Failed, w=23\",\"Add (2,4)=52 Failed, w=23\",\"Add (1,5)=58 Failed, w=23\",\"Add (0,3)=60 Failed, w=23\",\"Add (0,1)=63 Failed, w=23\"],\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,60],[1,2,12],[1,3,12],[1,4,4],[1,5,58],[2,3,7],[2,4,52],[2,5,2],[3,4,39],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(2,5)=2,(1,4)=4,(3,5)=4,(2,3)=7,(1,2)=12,(1,3)=12,(3,4)=39,(2,4)=52,(1,5)=58,(0,3)=60,(0,1)=63]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(2)=0, Find(5)=5, Add (2,5)=2 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=7\",\"Find(3)=3, Find(5)=0, Add (3,5)=4 Succeeded, w=11\",\"Find(2)=0, Find(3)=0, Add (2,3)=7 Failed, w=11\",\"Find(1)=1, Find(2)=0, Add (1,2)=12 Succeeded, w=23\",\"Find(1)=1, Find(3)=1, Add (1,3)=12 Failed, w=23\",\"Find(3)=1, Find(4)=1, Add (3,4)=39 Failed, w=23\",\"Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=23\",\"Find(1)=1, Find(5)=1, Add (1,5)=58 Failed, w=23\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=23\",\"Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=23\"],\"Answer\":23}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,63],[0,2,1],[0,3,60],[1,2,12],[1,3,12],[1,4,4],[1,5,58],[2,3,7],[2,4,52],[2,5,2],[3,4,39],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(2,5)=2,(1,4)=4,(3,5)=4,(2,3)=7,(1,2)=12,(1,3)=12,(3,4)=39,(2,4)=52,(1,5)=58,(0,3)=60,(0,1)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=4 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=7 Failed, w=11\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=12 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(3)=1, Add (1,3)=12 Failed, w=23\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(3)=1, Find(4)=1, Add (3,4)=39 Failed, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=58 Failed, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=23\"],\"Answer\":23}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,63],[0,2,81],[1,3,93],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,81],[1,3,93],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,81],[1,3,93],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,81],[1,3,93],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=29, w=29\",\"Add (0,1)=63, w=92\",\"Add (0,2)=81, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,81],[1,3,93],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=29 Succeeded, w=29\",\"Add (0,1)=63 Succeeded, w=92\",\"Add (0,2)=81 Succeeded, w=173\",\"Add (1,3)=93 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,81],[1,3,93],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=29,(0,1)=63,(0,2)=81,(1,3)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=92\",\"Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=173\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,81],[1,3,93],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=29,(0,1)=63,(0,2)=81,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,82],[0,3,36],[0,4,68],[1,2,59],[1,3,14],[1,4,5],[2,3,74],[2,4,51],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,82],[0,3,36],[0,4,68],[1,2,59],[1,3,14],[1,4,5],[2,3,74],[2,4,51],[3,4,54]]}",
"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\":[[0,1,26],[0,2,82],[0,3,36],[0,4,68],[1,2,59],[1,3,14],[1,4,5],[2,3,74],[2,4,51],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,82],[0,3,36],[0,4,68],[1,2,59],[1,3,14],[1,4,5],[2,3,74],[2,4,51],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (1,3)=14, w=19\",\"Add (0,1)=26, w=45\",\"Add (2,4)=51, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,82],[0,3,36],[0,4,68],[1,2,59],[1,3,14],[1,4,5],[2,3,74],[2,4,51],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (1,3)=14 Succeeded, w=19\",\"Add (0,1)=26 Succeeded, w=45\",\"Add (0,3)=36 Failed, w=45\",\"Add (2,4)=51 Succeeded, w=96\",\"Add (3,4)=54 Failed, w=96\",\"Add (1,2)=59 Failed, w=96\",\"Add (0,4)=68 Failed, w=96\",\"Add (2,3)=74 Failed, w=96\",\"Add (0,2)=82 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\":[[0,1,26],[0,2,82],[0,3,36],[0,4,68],[1,2,59],[1,3,14],[1,4,5],[2,3,74],[2,4,51],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,3)=14,(0,1)=26,(0,3)=36,(2,4)=51,(3,4)=54,(1,2)=59,(0,4)=68,(2,3)=74,(0,2)=82]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=45\",\"Find(0)=1, Find(3)=1, Add (0,3)=36 Failed, w=45\",\"Find(2)=2, Find(4)=1, Add (2,4)=51 Succeeded, w=96\",\"Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=96\",\"Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=96\",\"Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=96\",\"Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=96\",\"Find(0)=1, Find(2)=1, Add (0,2)=82 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\":[[0,1,26],[0,2,82],[0,3,36],[0,4,68],[1,2,59],[1,3,14],[1,4,5],[2,3,74],[2,4,51],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,3)=14,(0,1)=26,(0,3)=36,(2,4)=51,(3,4)=54,(1,2)=59,(0,4)=68,(2,3)=74,(0,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=36 Failed, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=51 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,2,52],[0,3,82],[0,4,96],[0,5,15],[1,2,98],[1,3,37],[1,4,82],[1,5,89],[2,3,22],[2,4,5],[2,5,9],[3,4,78],[3,5,97],[4,5,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,52],[0,3,82],[0,4,96],[0,5,15],[1,2,98],[1,3,37],[1,4,82],[1,5,89],[2,3,22],[2,4,5],[2,5,9],[3,4,78],[3,5,97],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,52],[0,3,82],[0,4,96],[0,5,15],[1,2,98],[1,3,37],[1,4,82],[1,5,89],[2,3,22],[2,4,5],[2,5,9],[3,4,78],[3,5,97],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,52],[0,3,82],[0,4,96],[0,5,15],[1,2,98],[1,3,37],[1,4,82],[1,5,89],[2,3,22],[2,4,5],[2,5,9],[3,4,78],[3,5,97],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (4,5)=6, w=11\",\"Add (0,5)=15, w=26\",\"Add (2,3)=22, w=48\",\"Add (0,1)=33, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,52],[0,3,82],[0,4,96],[0,5,15],[1,2,98],[1,3,37],[1,4,82],[1,5,89],[2,3,22],[2,4,5],[2,5,9],[3,4,78],[3,5,97],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (4,5)=6 Succeeded, w=11\",\"Add (2,5)=9 Failed, w=11\",\"Add (0,5)=15 Succeeded, w=26\",\"Add (2,3)=22 Succeeded, w=48\",\"Add (0,1)=33 Succeeded, w=81\",\"Add (1,3)=37 Failed, w=81\",\"Add (0,2)=52 Failed, w=81\",\"Add (3,4)=78 Failed, w=81\",\"Add (0,3)=82 Failed, w=81\",\"Add (1,4)=82 Failed, w=81\",\"Add (1,5)=89 Failed, w=81\",\"Add (0,4)=96 Failed, w=81\",\"Add (3,5)=97 Failed, w=81\",\"Add (1,2)=98 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,52],[0,3,82],[0,4,96],[0,5,15],[1,2,98],[1,3,37],[1,4,82],[1,5,89],[2,3,22],[2,4,5],[2,5,9],[3,4,78],[3,5,97],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(4,5)=6,(2,5)=9,(0,5)=15,(2,3)=22,(0,1)=33,(1,3)=37,(0,2)=52,(3,4)=78,(0,3)=82,(1,4)=82,(1,5)=89,(0,4)=96,(3,5)=97,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(4)=2, Find(5)=5, Add (4,5)=6 Succeeded, w=11\",\"Find(2)=2, Find(5)=2, Add (2,5)=9 Failed, w=11\",\"Find(0)=0, Find(5)=2, Add (0,5)=15 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=48\",\"Find(0)=2, Find(1)=1, Add (0,1)=33 Succeeded, w=81\",\"Find(1)=2, Find(3)=2, Add (1,3)=37 Failed, w=81\",\"Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=81\",\"Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=81\",\"Find(0)=2, Find(3)=2, Add (0,3)=82 Failed, w=81\",\"Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=81\",\"Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=81\",\"Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=81\",\"Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=81\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,52],[0,3,82],[0,4,96],[0,5,15],[1,2,98],[1,3,37],[1,4,82],[1,5,89],[2,3,22],[2,4,5],[2,5,9],[3,4,78],[3,5,97],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(4,5)=6,(2,5)=9,(0,5)=15,(2,3)=22,(0,1)=33,(1,3)=37,(0,2)=52,(3,4)=78,(0,3)=82,(1,4)=82,(1,5)=89,(0,4)=96,(3,5)=97,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=9 Failed, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=15 Succeeded, w=26\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=1, Add (0,1)=33 Succeeded, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=37 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=82 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,57],[0,2,47],[0,4,75],[0,5,36],[1,2,58],[1,3,24],[2,4,95],[2,5,79],[3,4,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,47],[0,4,75],[0,5,36],[1,2,58],[1,3,24],[2,4,95],[2,5,79],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,47],[0,4,75],[0,5,36],[1,2,58],[1,3,24],[2,4,95],[2,5,79],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,47],[0,4,75],[0,5,36],[1,2,58],[1,3,24],[2,4,95],[2,5,79],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24, w=24\",\"Add (3,4)=26, w=50\",\"Add (0,5)=36, w=86\",\"Add (0,2)=47, w=133\",\"Add (0,1)=57, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,47],[0,4,75],[0,5,36],[1,2,58],[1,3,24],[2,4,95],[2,5,79],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24 Succeeded, w=24\",\"Add (3,4)=26 Succeeded, w=50\",\"Add (0,5)=36 Succeeded, w=86\",\"Add (0,2)=47 Succeeded, w=133\",\"Add (0,1)=57 Succeeded, w=190\",\"Add (1,2)=58 Failed, w=190\",\"Add (0,4)=75 Failed, w=190\",\"Add (2,5)=79 Failed, w=190\",\"Add (2,4)=95 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,47],[0,4,75],[0,5,36],[1,2,58],[1,3,24],[2,4,95],[2,5,79],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(3,4)=26,(0,5)=36,(0,2)=47,(0,1)=57,(1,2)=58,(0,4)=75,(2,5)=79,(2,4)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(3)=1, Find(4)=4, Add (3,4)=26 Succeeded, w=50\",\"Find(0)=0, Find(5)=5, Add (0,5)=36 Succeeded, w=86\",\"Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=133\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=190\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=190\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=190\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=190\",\"Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,47],[0,4,75],[0,5,36],[1,2,58],[1,3,24],[2,4,95],[2,5,79],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(3,4)=26,(0,5)=36,(0,2)=47,(0,1)=57,(1,2)=58,(0,4)=75,(2,5)=79,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=26 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=36 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,43],[0,2,96],[0,6,86],[1,3,59],[1,4,81],[1,5,41],[2,3,68],[2,5,16],[3,5,28],[4,5,61],[4,6,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,96],[0,6,86],[1,3,59],[1,4,81],[1,5,41],[2,3,68],[2,5,16],[3,5,28],[4,5,61],[4,6,44]]}",
"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\":[[0,1,43],[0,2,96],[0,6,86],[1,3,59],[1,4,81],[1,5,41],[2,3,68],[2,5,16],[3,5,28],[4,5,61],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (4,5)\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,43],[0,2,96],[0,6,86],[1,3,59],[1,4,81],[1,5,41],[2,3,68],[2,5,16],[3,5,28],[4,5,61],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=16, w=16\",\"Add (3,5)=28, w=44\",\"Add (1,5)=41, w=85\",\"Add (0,1)=43, w=128\",\"Add (4,6)=44, w=172\",\"Add (4,5)=61, 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\":[[0,1,43],[0,2,96],[0,6,86],[1,3,59],[1,4,81],[1,5,41],[2,3,68],[2,5,16],[3,5,28],[4,5,61],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=16 Succeeded, w=16\",\"Add (3,5)=28 Succeeded, w=44\",\"Add (1,5)=41 Succeeded, w=85\",\"Add (0,1)=43 Succeeded, w=128\",\"Add (4,6)=44 Succeeded, w=172\",\"Add (1,3)=59 Failed, w=172\",\"Add (4,5)=61 Succeeded, w=233\",\"Add (2,3)=68 Failed, w=233\",\"Add (1,4)=81 Failed, w=233\",\"Add (0,6)=86 Failed, w=233\",\"Add (0,2)=96 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\":[[0,1,43],[0,2,96],[0,6,86],[1,3,59],[1,4,81],[1,5,41],[2,3,68],[2,5,16],[3,5,28],[4,5,61],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=16,(3,5)=28,(1,5)=41,(0,1)=43,(4,6)=44,(1,3)=59,(4,5)=61,(2,3)=68,(1,4)=81,(0,6)=86,(0,2)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=16\",\"Find(3)=3, Find(5)=2, Add (3,5)=28 Succeeded, w=44\",\"Find(1)=1, Find(5)=2, Add (1,5)=41 Succeeded, w=85\",\"Find(0)=0, Find(1)=2, Add (0,1)=43 Succeeded, w=128\",\"Find(4)=4, Find(6)=6, Add (4,6)=44 Succeeded, w=172\",\"Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=172\",\"Find(4)=4, Find(5)=2, Add (4,5)=61 Succeeded, w=233\",\"Find(2)=4, Find(3)=4, Add (2,3)=68 Failed, w=233\",\"Find(1)=4, Find(4)=4, Add (1,4)=81 Failed, w=233\",\"Find(0)=4, Find(6)=4, Add (0,6)=86 Failed, w=233\",\"Find(0)=4, Find(2)=4, Add (0,2)=96 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\":[[0,1,43],[0,2,96],[0,6,86],[1,3,59],[1,4,81],[1,5,41],[2,3,68],[2,5,16],[3,5,28],[4,5,61],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=16,(3,5)=28,(1,5)=41,(0,1)=43,(4,6)=44,(1,3)=59,(4,5)=61,(2,3)=68,(1,4)=81,(0,6)=86,(0,2)=96]\",\"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)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(3)=3, Find(5)=2, Add (3,5)=28 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=41 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(1)=2, Add (0,1)=43 Succeeded, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=44 Succeeded, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(1)=2, Find(3)=2, Add (1,3)=59 Failed, w=172\",\"Parent: {0: 2, 1: 2, 2: 4, 3: 2, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(5)=2, Add (4,5)=61 Succeeded, w=233\",\"Parent: {0: 2, 1: 2, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=68 Failed, w=233\",\"Parent: {0: 2, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=81 Failed, w=233\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=86 Failed, w=233\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=96 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,97],[0,3,52],[0,5,72],[0,6,1],[0,7,38],[1,2,45],[1,3,4],[1,5,42],[2,3,36],[2,4,29],[2,5,22],[2,6,46],[2,7,7],[3,4,81],[4,6,74],[4,7,90],[5,6,28],[6,7,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,52],[0,5,72],[0,6,1],[0,7,38],[1,2,45],[1,3,4],[1,5,42],[2,3,36],[2,4,29],[2,5,22],[2,6,46],[2,7,7],[3,4,81],[4,6,74],[4,7,90],[5,6,28],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,52],[0,5,72],[0,6,1],[0,7,38],[1,2,45],[1,3,4],[1,5,42],[2,3,36],[2,4,29],[2,5,22],[2,6,46],[2,7,7],[3,4,81],[4,6,74],[4,7,90],[5,6,28],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,3)\",\"Add (2,7)\",\"Add (6,7)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,52],[0,5,72],[0,6,1],[0,7,38],[1,2,45],[1,3,4],[1,5,42],[2,3,36],[2,4,29],[2,5,22],[2,6,46],[2,7,7],[3,4,81],[4,6,74],[4,7,90],[5,6,28],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (1,3)=4, w=5\",\"Add (2,7)=7, w=12\",\"Add (6,7)=9, w=21\",\"Add (2,5)=22, w=43\",\"Add (2,4)=29, w=72\",\"Add (2,3)=36, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,52],[0,5,72],[0,6,1],[0,7,38],[1,2,45],[1,3,4],[1,5,42],[2,3,36],[2,4,29],[2,5,22],[2,6,46],[2,7,7],[3,4,81],[4,6,74],[4,7,90],[5,6,28],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (1,3)=4 Succeeded, w=5\",\"Add (2,7)=7 Succeeded, w=12\",\"Add (6,7)=9 Succeeded, w=21\",\"Add (2,5)=22 Succeeded, w=43\",\"Add (5,6)=28 Failed, w=43\",\"Add (2,4)=29 Succeeded, w=72\",\"Add (2,3)=36 Succeeded, w=108\",\"Add (0,7)=38 Failed, w=108\",\"Add (1,5)=42 Failed, w=108\",\"Add (1,2)=45 Failed, w=108\",\"Add (2,6)=46 Failed, w=108\",\"Add (0,3)=52 Failed, w=108\",\"Add (0,5)=72 Failed, w=108\",\"Add (4,6)=74 Failed, w=108\",\"Add (3,4)=81 Failed, w=108\",\"Add (4,7)=90 Failed, w=108\",\"Add (0,1)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,52],[0,5,72],[0,6,1],[0,7,38],[1,2,45],[1,3,4],[1,5,42],[2,3,36],[2,4,29],[2,5,22],[2,6,46],[2,7,7],[3,4,81],[4,6,74],[4,7,90],[5,6,28],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(1,3)=4,(2,7)=7,(6,7)=9,(2,5)=22,(5,6)=28,(2,4)=29,(2,3)=36,(0,7)=38,(1,5)=42,(1,2)=45,(2,6)=46,(0,3)=52,(0,5)=72,(4,6)=74,(3,4)=81,(4,7)=90,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=5\",\"Find(2)=2, Find(7)=7, Add (2,7)=7 Succeeded, w=12\",\"Find(6)=0, Find(7)=2, Add (6,7)=9 Succeeded, w=21\",\"Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=43\",\"Find(5)=0, Find(6)=0, Add (5,6)=28 Failed, w=43\",\"Find(2)=0, Find(4)=4, Add (2,4)=29 Succeeded, w=72\",\"Find(2)=0, Find(3)=1, Add (2,3)=36 Succeeded, w=108\",\"Find(0)=0, Find(7)=0, Add (0,7)=38 Failed, w=108\",\"Find(1)=0, Find(5)=0, Add (1,5)=42 Failed, w=108\",\"Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=108\",\"Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=108\",\"Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=108\",\"Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=108\",\"Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=108\",\"Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=108\",\"Find(4)=0, Find(7)=0, Add (4,7)=90 Failed, w=108\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,3,52],[0,5,72],[0,6,1],[0,7,38],[1,2,45],[1,3,4],[1,5,42],[2,3,36],[2,4,29],[2,5,22],[2,6,46],[2,7,7],[3,4,81],[4,6,74],[4,7,90],[5,6,28],[6,7,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(1,3)=4,(2,7)=7,(6,7)=9,(2,5)=22,(5,6)=28,(2,4)=29,(2,3)=36,(0,7)=38,(1,5)=42,(1,2)=45,(2,6)=46,(0,3)=52,(0,5)=72,(4,6)=74,(3,4)=81,(4,7)=90,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 0, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 0, 7: 2}, Find(6)=0, Find(7)=2, Add (6,7)=9 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 0, 7: 2}, Find(5)=0, Find(6)=0, Add (5,6)=28 Failed, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(4)=4, Add (2,4)=29 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(3)=1, Add (2,3)=36 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=38 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=42 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=108\",\"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)=52 Failed, w=108\",\"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)=72 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=108\",\"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)=90 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,2],[0,2,66],[0,3,35],[0,4,38],[0,5,40],[1,2,70],[1,3,82],[1,4,98],[1,5,65],[2,3,82],[2,4,48],[2,5,36],[3,4,74],[4,5,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,66],[0,3,35],[0,4,38],[0,5,40],[1,2,70],[1,3,82],[1,4,98],[1,5,65],[2,3,82],[2,4,48],[2,5,36],[3,4,74],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,66],[0,3,35],[0,4,38],[0,5,40],[1,2,70],[1,3,82],[1,4,98],[1,5,65],[2,3,82],[2,4,48],[2,5,36],[3,4,74],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (0,5)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,66],[0,3,35],[0,4,38],[0,5,40],[1,2,70],[1,3,82],[1,4,98],[1,5,65],[2,3,82],[2,4,48],[2,5,36],[3,4,74],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,3)=35, w=37\",\"Add (2,5)=36, w=73\",\"Add (0,4)=38, w=111\",\"Add (0,5)=40, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,66],[0,3,35],[0,4,38],[0,5,40],[1,2,70],[1,3,82],[1,4,98],[1,5,65],[2,3,82],[2,4,48],[2,5,36],[3,4,74],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,3)=35 Succeeded, w=37\",\"Add (2,5)=36 Succeeded, w=73\",\"Add (0,4)=38 Succeeded, w=111\",\"Add (0,5)=40 Succeeded, w=151\",\"Add (2,4)=48 Failed, w=151\",\"Add (4,5)=63 Failed, w=151\",\"Add (1,5)=65 Failed, w=151\",\"Add (0,2)=66 Failed, w=151\",\"Add (1,2)=70 Failed, w=151\",\"Add (3,4)=74 Failed, w=151\",\"Add (1,3)=82 Failed, w=151\",\"Add (2,3)=82 Failed, w=151\",\"Add (1,4)=98 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,66],[0,3,35],[0,4,38],[0,5,40],[1,2,70],[1,3,82],[1,4,98],[1,5,65],[2,3,82],[2,4,48],[2,5,36],[3,4,74],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=35,(2,5)=36,(0,4)=38,(0,5)=40,(2,4)=48,(4,5)=63,(1,5)=65,(0,2)=66,(1,2)=70,(3,4)=74,(1,3)=82,(2,3)=82,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=37\",\"Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=73\",\"Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=111\",\"Find(0)=0, Find(5)=2, Add (0,5)=40 Succeeded, w=151\",\"Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=151\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=151\",\"Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=151\",\"Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=151\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=151\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=151\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=151\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,66],[0,3,35],[0,4,38],[0,5,40],[1,2,70],[1,3,82],[1,4,98],[1,5,65],[2,3,82],[2,4,48],[2,5,36],[3,4,74],[4,5,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,3)=35,(2,5)=36,(0,4)=38,(0,5)=40,(2,4)=48,(4,5)=63,(1,5)=65,(0,2)=66,(1,2)=70,(3,4)=74,(1,3)=82,(2,3)=82,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=40 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,2,34],[0,4,31],[1,2,30],[1,3,94],[1,4,77],[2,3,84],[2,4,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,34],[0,4,31],[1,2,30],[1,3,94],[1,4,77],[2,3,84],[2,4,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,34],[0,4,31],[1,2,30],[1,3,94],[1,4,77],[2,3,84],[2,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,34],[0,4,31],[1,2,30],[1,3,94],[1,4,77],[2,3,84],[2,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30, w=30\",\"Add (0,4)=31, w=61\",\"Add (0,2)=34, w=95\",\"Add (2,3)=84, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,34],[0,4,31],[1,2,30],[1,3,94],[1,4,77],[2,3,84],[2,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30 Succeeded, w=30\",\"Add (0,4)=31 Succeeded, w=61\",\"Add (0,2)=34 Succeeded, w=95\",\"Add (2,4)=65 Failed, w=95\",\"Add (0,1)=76 Failed, w=95\",\"Add (1,4)=77 Failed, w=95\",\"Add (2,3)=84 Succeeded, w=179\",\"Add (1,3)=94 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,34],[0,4,31],[1,2,30],[1,3,94],[1,4,77],[2,3,84],[2,4,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(0,4)=31,(0,2)=34,(2,4)=65,(0,1)=76,(1,4)=77,(2,3)=84,(1,3)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=61\",\"Find(0)=0, Find(2)=1, Add (0,2)=34 Succeeded, w=95\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=95\",\"Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=95\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=95\",\"Find(2)=0, Find(3)=3, Add (2,3)=84 Succeeded, w=179\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,34],[0,4,31],[1,2,30],[1,3,94],[1,4,77],[2,3,84],[2,4,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(0,4)=31,(0,2)=34,(2,4)=65,(0,1)=76,(1,4)=77,(2,3)=84,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=34 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=84 Succeeded, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,70],[0,2,10],[0,3,0],[0,4,22],[1,2,90],[1,3,12],[1,4,54],[2,3,91],[2,4,36],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,10],[0,3,0],[0,4,22],[1,2,90],[1,3,12],[1,4,54],[2,3,91],[2,4,36],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,10],[0,3,0],[0,4,22],[1,2,90],[1,3,12],[1,4,54],[2,3,91],[2,4,36],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,10],[0,3,0],[0,4,22],[1,2,90],[1,3,12],[1,4,54],[2,3,91],[2,4,36],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (0,2)=10, w=10\",\"Add (1,3)=12, w=22\",\"Add (0,4)=22, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,10],[0,3,0],[0,4,22],[1,2,90],[1,3,12],[1,4,54],[2,3,91],[2,4,36],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (0,2)=10 Succeeded, w=10\",\"Add (1,3)=12 Succeeded, w=22\",\"Add (0,4)=22 Succeeded, w=44\",\"Add (3,4)=34 Failed, w=44\",\"Add (2,4)=36 Failed, w=44\",\"Add (1,4)=54 Failed, w=44\",\"Add (0,1)=70 Failed, w=44\",\"Add (1,2)=90 Failed, w=44\",\"Add (2,3)=91 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,10],[0,3,0],[0,4,22],[1,2,90],[1,3,12],[1,4,54],[2,3,91],[2,4,36],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=10,(1,3)=12,(0,4)=22,(3,4)=34,(2,4)=36,(1,4)=54,(0,1)=70,(1,2)=90,(2,3)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=0, Add (1,3)=12 Succeeded, w=22\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=44\",\"Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=44\",\"Find(2)=0, Find(4)=0, Add (2,4)=36 Failed, w=44\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=44\",\"Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=44\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=44\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,10],[0,3,0],[0,4,22],[1,2,90],[1,3,12],[1,4,54],[2,3,91],[2,4,36],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=10,(1,3)=12,(0,4)=22,(3,4)=34,(2,4)=36,(1,4)=54,(0,1)=70,(1,2)=90,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=36 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=70 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,62],[0,2,58],[0,3,52],[0,4,72],[1,2,35],[1,3,2],[1,4,86],[2,3,74],[3,4,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,58],[0,3,52],[0,4,72],[1,2,35],[1,3,2],[1,4,86],[2,3,74],[3,4,31]]}",
"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],[0,2,58],[0,3,52],[0,4,72],[1,2,35],[1,3,2],[1,4,86],[2,3,74],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"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],[0,2,58],[0,3,52],[0,4,72],[1,2,35],[1,3,2],[1,4,86],[2,3,74],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (3,4)=31, w=33\",\"Add (1,2)=35, w=68\",\"Add (0,3)=52, 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],[0,2,58],[0,3,52],[0,4,72],[1,2,35],[1,3,2],[1,4,86],[2,3,74],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (3,4)=31 Succeeded, w=33\",\"Add (1,2)=35 Succeeded, w=68\",\"Add (0,3)=52 Succeeded, w=120\",\"Add (0,2)=58 Failed, w=120\",\"Add (0,1)=62 Failed, w=120\",\"Add (0,4)=72 Failed, w=120\",\"Add (2,3)=74 Failed, w=120\",\"Add (1,4)=86 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],[0,2,58],[0,3,52],[0,4,72],[1,2,35],[1,3,2],[1,4,86],[2,3,74],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(3,4)=31,(1,2)=35,(0,3)=52,(0,2)=58,(0,1)=62,(0,4)=72,(2,3)=74,(1,4)=86]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(3)=1, Find(4)=4, Add (3,4)=31 Succeeded, w=33\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=68\",\"Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=120\",\"Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=120\",\"Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=120\",\"Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=120\",\"Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=120\",\"Find(1)=1, Find(4)=1, Add (1,4)=86 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],[0,2,58],[0,3,52],[0,4,72],[1,2,35],[1,3,2],[1,4,86],[2,3,74],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(3,4)=31,(1,2)=35,(0,3)=52,(0,2)=58,(0,1)=62,(0,4)=72,(2,3)=74,(1,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=31 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,17],[0,3,89],[0,4,29],[0,5,82],[0,6,31],[1,2,17],[1,3,29],[1,4,100],[1,6,55],[1,7,86],[2,5,57],[3,4,54],[3,5,85],[3,6,41],[3,7,25],[4,5,49],[5,7,6],[6,7,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,89],[0,4,29],[0,5,82],[0,6,31],[1,2,17],[1,3,29],[1,4,100],[1,6,55],[1,7,86],[2,5,57],[3,4,54],[3,5,85],[3,6,41],[3,7,25],[4,5,49],[5,7,6],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,89],[0,4,29],[0,5,82],[0,6,31],[1,2,17],[1,3,29],[1,4,100],[1,6,55],[1,7,86],[2,5,57],[3,4,54],[3,5,85],[3,6,41],[3,7,25],[4,5,49],[5,7,6],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (6,7)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,89],[0,4,29],[0,5,82],[0,6,31],[1,2,17],[1,3,29],[1,4,100],[1,6,55],[1,7,86],[2,5,57],[3,4,54],[3,5,85],[3,6,41],[3,7,25],[4,5,49],[5,7,6],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6, w=6\",\"Add (0,2)=17, w=23\",\"Add (1,2)=17, w=40\",\"Add (3,7)=25, w=65\",\"Add (6,7)=26, w=91\",\"Add (0,4)=29, w=120\",\"Add (1,3)=29, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,89],[0,4,29],[0,5,82],[0,6,31],[1,2,17],[1,3,29],[1,4,100],[1,6,55],[1,7,86],[2,5,57],[3,4,54],[3,5,85],[3,6,41],[3,7,25],[4,5,49],[5,7,6],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6 Succeeded, w=6\",\"Add (0,2)=17 Succeeded, w=23\",\"Add (1,2)=17 Succeeded, w=40\",\"Add (3,7)=25 Succeeded, w=65\",\"Add (6,7)=26 Succeeded, w=91\",\"Add (0,4)=29 Succeeded, w=120\",\"Add (1,3)=29 Succeeded, w=149\",\"Add (0,6)=31 Failed, w=149\",\"Add (3,6)=41 Failed, w=149\",\"Add (4,5)=49 Failed, w=149\",\"Add (3,4)=54 Failed, w=149\",\"Add (1,6)=55 Failed, w=149\",\"Add (2,5)=57 Failed, w=149\",\"Add (0,5)=82 Failed, w=149\",\"Add (3,5)=85 Failed, w=149\",\"Add (1,7)=86 Failed, w=149\",\"Add (0,3)=89 Failed, w=149\",\"Add (1,4)=100 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,89],[0,4,29],[0,5,82],[0,6,31],[1,2,17],[1,3,29],[1,4,100],[1,6,55],[1,7,86],[2,5,57],[3,4,54],[3,5,85],[3,6,41],[3,7,25],[4,5,49],[5,7,6],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(0,2)=17,(1,2)=17,(3,7)=25,(6,7)=26,(0,4)=29,(1,3)=29,(0,6)=31,(3,6)=41,(4,5)=49,(3,4)=54,(1,6)=55,(2,5)=57,(0,5)=82,(3,5)=85,(1,7)=86,(0,3)=89,(1,4)=100]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=23\",\"Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=40\",\"Find(3)=3, Find(7)=5, Add (3,7)=25 Succeeded, w=65\",\"Find(6)=6, Find(7)=5, Add (6,7)=26 Succeeded, w=91\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=120\",\"Find(1)=0, Find(3)=5, Add (1,3)=29 Succeeded, w=149\",\"Find(0)=0, Find(6)=0, Add (0,6)=31 Failed, w=149\",\"Find(3)=0, Find(6)=0, Add (3,6)=41 Failed, w=149\",\"Find(4)=0, Find(5)=0, Add (4,5)=49 Failed, w=149\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=149\",\"Find(1)=0, Find(6)=0, Add (1,6)=55 Failed, w=149\",\"Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=149\",\"Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=149\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=149\",\"Find(1)=0, Find(7)=0, Add (1,7)=86 Failed, w=149\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=149\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,89],[0,4,29],[0,5,82],[0,6,31],[1,2,17],[1,3,29],[1,4,100],[1,6,55],[1,7,86],[2,5,57],[3,4,54],[3,5,85],[3,6,41],[3,7,25],[4,5,49],[5,7,6],[6,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(0,2)=17,(1,2)=17,(3,7)=25,(6,7)=26,(0,4)=29,(1,3)=29,(0,6)=31,(3,6)=41,(4,5)=49,(3,4)=54,(1,6)=55,(2,5)=57,(0,5)=82,(3,5)=85,(1,7)=86,(0,3)=89,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 4, 5: 5, 6: 6, 7: 5}, Find(3)=3, Find(7)=5, Add (3,7)=25 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(6)=6, Find(7)=5, Add (6,7)=26 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5, 7: 5}, Find(1)=0, Find(3)=5, Add (1,3)=29 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(6)=0, Add (0,6)=31 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(3)=0, Find(6)=0, Add (3,6)=41 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(4)=0, Find(5)=0, Add (4,5)=49 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(6)=0, Add (1,6)=55 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(2)=0, Find(5)=0, Add (2,5)=57 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=149\",\"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)=86 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=149\",\"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)=100 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,93],[0,3,87],[1,2,67],[1,3,63],[2,3,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,87],[1,2,67],[1,3,63],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,87],[1,2,67],[1,3,63],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,87],[1,2,67],[1,3,63],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=42, w=42\",\"Add (1,3)=63, w=105\",\"Add (0,3)=87, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,87],[1,2,67],[1,3,63],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=42 Succeeded, w=42\",\"Add (1,3)=63 Succeeded, w=105\",\"Add (1,2)=67 Failed, w=105\",\"Add (0,3)=87 Succeeded, w=192\",\"Add (0,2)=93 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,87],[1,2,67],[1,3,63],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=42,(1,3)=63,(1,2)=67,(0,3)=87,(0,2)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=42 Succeeded, w=42\",\"Find(1)=1, Find(3)=2, Add (1,3)=63 Succeeded, w=105\",\"Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=105\",\"Find(0)=0, Find(3)=2, Add (0,3)=87 Succeeded, w=192\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,87],[1,2,67],[1,3,63],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=42,(1,3)=63,(1,2)=67,(0,3)=87,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=63 Succeeded, w=105\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=87 Succeeded, w=192\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,2,97],[0,3,26],[0,4,77],[0,5,59],[0,6,38],[1,2,44],[1,3,98],[1,4,0],[1,5,90],[1,6,29],[2,3,70],[2,4,28],[2,5,18],[2,6,5],[3,4,97],[3,6,67],[4,6,51],[5,6,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,97],[0,3,26],[0,4,77],[0,5,59],[0,6,38],[1,2,44],[1,3,98],[1,4,0],[1,5,90],[1,6,29],[2,3,70],[2,4,28],[2,5,18],[2,6,5],[3,4,97],[3,6,67],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,97],[0,3,26],[0,4,77],[0,5,59],[0,6,38],[1,2,44],[1,3,98],[1,4,0],[1,5,90],[1,6,29],[2,3,70],[2,4,28],[2,5,18],[2,6,5],[3,4,97],[3,6,67],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,6)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,97],[0,3,26],[0,4,77],[0,5,59],[0,6,38],[1,2,44],[1,3,98],[1,4,0],[1,5,90],[1,6,29],[2,3,70],[2,4,28],[2,5,18],[2,6,5],[3,4,97],[3,6,67],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (2,6)=5, w=5\",\"Add (2,5)=18, w=23\",\"Add (0,1)=22, w=45\",\"Add (0,3)=26, w=71\",\"Add (2,4)=28, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,97],[0,3,26],[0,4,77],[0,5,59],[0,6,38],[1,2,44],[1,3,98],[1,4,0],[1,5,90],[1,6,29],[2,3,70],[2,4,28],[2,5,18],[2,6,5],[3,4,97],[3,6,67],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (2,6)=5 Succeeded, w=5\",\"Add (2,5)=18 Succeeded, w=23\",\"Add (0,1)=22 Succeeded, w=45\",\"Add (0,3)=26 Succeeded, w=71\",\"Add (2,4)=28 Succeeded, w=99\",\"Add (1,6)=29 Failed, w=99\",\"Add (0,6)=38 Failed, w=99\",\"Add (1,2)=44 Failed, w=99\",\"Add (5,6)=48 Failed, w=99\",\"Add (4,6)=51 Failed, w=99\",\"Add (0,5)=59 Failed, w=99\",\"Add (3,6)=67 Failed, w=99\",\"Add (2,3)=70 Failed, w=99\",\"Add (0,4)=77 Failed, w=99\",\"Add (1,5)=90 Failed, w=99\",\"Add (0,2)=97 Failed, w=99\",\"Add (3,4)=97 Failed, w=99\",\"Add (1,3)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,97],[0,3,26],[0,4,77],[0,5,59],[0,6,38],[1,2,44],[1,3,98],[1,4,0],[1,5,90],[1,6,29],[2,3,70],[2,4,28],[2,5,18],[2,6,5],[3,4,97],[3,6,67],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,6)=5,(2,5)=18,(0,1)=22,(0,3)=26,(2,4)=28,(1,6)=29,(0,6)=38,(1,2)=44,(5,6)=48,(4,6)=51,(0,5)=59,(3,6)=67,(2,3)=70,(0,4)=77,(1,5)=90,(0,2)=97,(3,4)=97,(1,3)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=45\",\"Find(0)=1, Find(3)=3, Add (0,3)=26 Succeeded, w=71\",\"Find(2)=2, Find(4)=1, Add (2,4)=28 Succeeded, w=99\",\"Find(1)=2, Find(6)=2, Add (1,6)=29 Failed, w=99\",\"Find(0)=2, Find(6)=2, Add (0,6)=38 Failed, w=99\",\"Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=99\",\"Find(5)=2, Find(6)=2, Add (5,6)=48 Failed, w=99\",\"Find(4)=2, Find(6)=2, Add (4,6)=51 Failed, w=99\",\"Find(0)=2, Find(5)=2, Add (0,5)=59 Failed, w=99\",\"Find(3)=2, Find(6)=2, Add (3,6)=67 Failed, w=99\",\"Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=99\",\"Find(0)=2, Find(4)=2, Add (0,4)=77 Failed, w=99\",\"Find(1)=2, Find(5)=2, Add (1,5)=90 Failed, w=99\",\"Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=99\",\"Find(3)=2, Find(4)=2, Add (3,4)=97 Failed, w=99\",\"Find(1)=2, Find(3)=2, Add (1,3)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,97],[0,3,26],[0,4,77],[0,5,59],[0,6,38],[1,2,44],[1,3,98],[1,4,0],[1,5,90],[1,6,29],[2,3,70],[2,4,28],[2,5,18],[2,6,5],[3,4,97],[3,6,67],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,6)=5,(2,5)=18,(0,1)=22,(0,3)=26,(2,4)=28,(1,6)=29,(0,6)=38,(1,2)=44,(5,6)=48,(4,6)=51,(0,5)=59,(3,6)=67,(2,3)=70,(0,4)=77,(1,5)=90,(0,2)=97,(3,4)=97,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(0)=1, Find(3)=3, Add (0,3)=26 Succeeded, w=71\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(2)=2, Find(4)=1, Add (2,4)=28 Succeeded, w=99\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=29 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=38 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=48 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=51 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=59 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=67 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=77 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=90 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=97 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,4],[0,2,46],[0,3,42],[1,2,35],[1,3,83],[2,3,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,46],[0,3,42],[1,2,35],[1,3,83],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,46],[0,3,42],[1,2,35],[1,3,83],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,46],[0,3,42],[1,2,35],[1,3,83],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (2,3)=26, w=30\",\"Add (1,2)=35, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,46],[0,3,42],[1,2,35],[1,3,83],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (2,3)=26 Succeeded, w=30\",\"Add (1,2)=35 Succeeded, w=65\",\"Add (0,3)=42 Failed, w=65\",\"Add (0,2)=46 Failed, w=65\",\"Add (1,3)=83 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,46],[0,3,42],[1,2,35],[1,3,83],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,3)=26,(1,2)=35,(0,3)=42,(0,2)=46,(1,3)=83]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=30\",\"Find(1)=0, Find(2)=2, Add (1,2)=35 Succeeded, w=65\",\"Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=65\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=65\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,46],[0,3,42],[1,2,35],[1,3,83],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,3)=26,(1,2)=35,(0,3)=42,(0,2)=46,(1,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=35 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,90],[0,2,67],[0,3,1],[0,4,90],[1,2,99],[1,3,53],[2,3,10],[2,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,67],[0,3,1],[0,4,90],[1,2,99],[1,3,53],[2,3,10],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,67],[0,3,1],[0,4,90],[1,2,99],[1,3,53],[2,3,10],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,67],[0,3,1],[0,4,90],[1,2,99],[1,3,53],[2,3,10],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (2,4)=3, w=4\",\"Add (2,3)=10, w=14\",\"Add (1,3)=53, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,67],[0,3,1],[0,4,90],[1,2,99],[1,3,53],[2,3,10],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (2,4)=3 Succeeded, w=4\",\"Add (2,3)=10 Succeeded, w=14\",\"Add (1,3)=53 Succeeded, w=67\",\"Add (0,2)=67 Failed, w=67\",\"Add (0,1)=90 Failed, w=67\",\"Add (0,4)=90 Failed, w=67\",\"Add (1,2)=99 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,67],[0,3,1],[0,4,90],[1,2,99],[1,3,53],[2,3,10],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,4)=3,(2,3)=10,(1,3)=53,(0,2)=67,(0,1)=90,(0,4)=90,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=4\",\"Find(2)=2, Find(3)=0, Add (2,3)=10 Succeeded, w=14\",\"Find(1)=1, Find(3)=2, Add (1,3)=53 Succeeded, w=67\",\"Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=67\",\"Find(0)=2, Find(1)=2, Add (0,1)=90 Failed, w=67\",\"Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=67\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,67],[0,3,1],[0,4,90],[1,2,99],[1,3,53],[2,3,10],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,4)=3,(2,3)=10,(1,3)=53,(0,2)=67,(0,1)=90,(0,4)=90,(1,2)=99]\",\"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: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(3)=0, Add (2,3)=10 Succeeded, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=53 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=90 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,91],[0,2,78],[0,3,85],[0,4,98],[0,5,44],[0,6,100],[1,2,27],[1,4,10],[1,5,10],[1,6,7],[2,3,91],[2,4,13],[2,5,29],[2,6,9],[3,4,52],[3,6,38],[4,5,0],[4,6,70],[5,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,78],[0,3,85],[0,4,98],[0,5,44],[0,6,100],[1,2,27],[1,4,10],[1,5,10],[1,6,7],[2,3,91],[2,4,13],[2,5,29],[2,6,9],[3,4,52],[3,6,38],[4,5,0],[4,6,70],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,78],[0,3,85],[0,4,98],[0,5,44],[0,6,100],[1,2,27],[1,4,10],[1,5,10],[1,6,7],[2,3,91],[2,4,13],[2,5,29],[2,6,9],[3,4,52],[3,6,38],[4,5,0],[4,6,70],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (0,5)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,78],[0,3,85],[0,4,98],[0,5,44],[0,6,100],[1,2,27],[1,4,10],[1,5,10],[1,6,7],[2,3,91],[2,4,13],[2,5,29],[2,6,9],[3,4,52],[3,6,38],[4,5,0],[4,6,70],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (1,6)=7, w=7\",\"Add (2,6)=9, w=16\",\"Add (1,4)=10, w=26\",\"Add (3,6)=38, w=64\",\"Add (0,5)=44, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,78],[0,3,85],[0,4,98],[0,5,44],[0,6,100],[1,2,27],[1,4,10],[1,5,10],[1,6,7],[2,3,91],[2,4,13],[2,5,29],[2,6,9],[3,4,52],[3,6,38],[4,5,0],[4,6,70],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (1,6)=7 Succeeded, w=7\",\"Add (2,6)=9 Succeeded, w=16\",\"Add (1,4)=10 Succeeded, w=26\",\"Add (1,5)=10 Failed, w=26\",\"Add (2,4)=13 Failed, w=26\",\"Add (1,2)=27 Failed, w=26\",\"Add (2,5)=29 Failed, w=26\",\"Add (5,6)=37 Failed, w=26\",\"Add (3,6)=38 Succeeded, w=64\",\"Add (0,5)=44 Succeeded, w=108\",\"Add (3,4)=52 Failed, w=108\",\"Add (4,6)=70 Failed, w=108\",\"Add (0,2)=78 Failed, w=108\",\"Add (0,3)=85 Failed, w=108\",\"Add (0,1)=91 Failed, w=108\",\"Add (2,3)=91 Failed, w=108\",\"Add (0,4)=98 Failed, w=108\",\"Add (0,6)=100 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,78],[0,3,85],[0,4,98],[0,5,44],[0,6,100],[1,2,27],[1,4,10],[1,5,10],[1,6,7],[2,3,91],[2,4,13],[2,5,29],[2,6,9],[3,4,52],[3,6,38],[4,5,0],[4,6,70],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(1,6)=7,(2,6)=9,(1,4)=10,(1,5)=10,(2,4)=13,(1,2)=27,(2,5)=29,(5,6)=37,(3,6)=38,(0,5)=44,(3,4)=52,(4,6)=70,(0,2)=78,(0,3)=85,(0,1)=91,(2,3)=91,(0,4)=98,(0,6)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=7\",\"Find(2)=2, Find(6)=1, Add (2,6)=9 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=26\",\"Find(1)=1, Find(5)=1, Add (1,5)=10 Failed, w=26\",\"Find(2)=1, Find(4)=1, Add (2,4)=13 Failed, w=26\",\"Find(1)=1, Find(2)=1, Add (1,2)=27 Failed, w=26\",\"Find(2)=1, Find(5)=1, Add (2,5)=29 Failed, w=26\",\"Find(5)=1, Find(6)=1, Add (5,6)=37 Failed, w=26\",\"Find(3)=3, Find(6)=1, Add (3,6)=38 Succeeded, w=64\",\"Find(0)=0, Find(5)=1, Add (0,5)=44 Succeeded, w=108\",\"Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=108\",\"Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=108\",\"Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=108\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=108\",\"Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=108\",\"Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=108\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=108\",\"Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,78],[0,3,85],[0,4,98],[0,5,44],[0,6,100],[1,2,27],[1,4,10],[1,5,10],[1,6,7],[2,3,91],[2,4,13],[2,5,29],[2,6,9],[3,4,52],[3,6,38],[4,5,0],[4,6,70],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(1,6)=7,(2,6)=9,(1,4)=10,(1,5)=10,(2,4)=13,(1,2)=27,(2,5)=29,(5,6)=37,(3,6)=38,(0,5)=44,(3,4)=52,(4,6)=70,(0,2)=78,(0,3)=85,(0,1)=91,(2,3)=91,(0,4)=98,(0,6)=100]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4, 6: 1}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=10 Failed, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=13 Failed, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=27 Failed, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=29 Failed, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=37 Failed, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=38 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(5)=1, Add (0,5)=44 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=100 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,59],[0,2,93],[1,2,43],[1,3,14],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,93],[1,2,43],[1,3,14],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,93],[1,2,43],[1,3,14],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,93],[1,2,43],[1,3,14],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14, w=14\",\"Add (2,3)=29, w=43\",\"Add (0,1)=59, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,93],[1,2,43],[1,3,14],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=14 Succeeded, w=14\",\"Add (2,3)=29 Succeeded, w=43\",\"Add (1,2)=43 Failed, w=43\",\"Add (0,1)=59 Succeeded, w=102\",\"Add (0,2)=93 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,93],[1,2,43],[1,3,14],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(2,3)=29,(1,2)=43,(0,1)=59,(0,2)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(2)=2, Find(3)=1, Add (2,3)=29 Succeeded, w=43\",\"Find(1)=1, Find(2)=1, Add (1,2)=43 Failed, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=102\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,93],[1,2,43],[1,3,14],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=14,(2,3)=29,(1,2)=43,(0,1)=59,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=29 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=43 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,73],[0,3,90],[0,4,46],[1,2,87],[1,3,61],[1,4,1],[2,3,70],[3,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,90],[0,4,46],[1,2,87],[1,3,61],[1,4,1],[2,3,70],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,90],[0,4,46],[1,2,87],[1,3,61],[1,4,1],[2,3,70],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,90],[0,4,46],[1,2,87],[1,3,61],[1,4,1],[2,3,70],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (0,4)=46, w=47\",\"Add (3,4)=58, w=105\",\"Add (2,3)=70, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,90],[0,4,46],[1,2,87],[1,3,61],[1,4,1],[2,3,70],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (0,4)=46 Succeeded, w=47\",\"Add (3,4)=58 Succeeded, w=105\",\"Add (1,3)=61 Failed, w=105\",\"Add (2,3)=70 Succeeded, w=175\",\"Add (0,2)=73 Failed, w=175\",\"Add (1,2)=87 Failed, w=175\",\"Add (0,3)=90 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,90],[0,4,46],[1,2,87],[1,3,61],[1,4,1],[2,3,70],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(0,4)=46,(3,4)=58,(1,3)=61,(2,3)=70,(0,2)=73,(1,2)=87,(0,3)=90]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=1, Add (0,4)=46 Succeeded, w=47\",\"Find(3)=3, Find(4)=1, Add (3,4)=58 Succeeded, w=105\",\"Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=105\",\"Find(2)=2, Find(3)=1, Add (2,3)=70 Succeeded, w=175\",\"Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=175\",\"Find(1)=1, Find(2)=1, Add (1,2)=87 Failed, w=175\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,73],[0,3,90],[0,4,46],[1,2,87],[1,3,61],[1,4,1],[2,3,70],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(0,4)=46,(3,4)=58,(1,3)=61,(2,3)=70,(0,2)=73,(1,2)=87,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=46 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=58 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=70 Succeeded, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=87 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,93],[0,3,61],[0,4,16],[0,5,52],[0,6,3],[0,7,16],[1,2,44],[1,3,57],[1,4,87],[1,5,89],[1,6,63],[1,7,1],[2,3,0],[2,4,60],[2,5,64],[2,6,82],[2,7,1],[3,4,30],[3,5,70],[3,6,93],[3,7,53],[4,5,95],[4,6,20],[4,7,56],[5,6,10],[5,7,12],[6,7,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,61],[0,4,16],[0,5,52],[0,6,3],[0,7,16],[1,2,44],[1,3,57],[1,4,87],[1,5,89],[1,6,63],[1,7,1],[2,3,0],[2,4,60],[2,5,64],[2,6,82],[2,7,1],[3,4,30],[3,5,70],[3,6,93],[3,7,53],[4,5,95],[4,6,20],[4,7,56],[5,6,10],[5,7,12],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,61],[0,4,16],[0,5,52],[0,6,3],[0,7,16],[1,2,44],[1,3,57],[1,4,87],[1,5,89],[1,6,63],[1,7,1],[2,3,0],[2,4,60],[2,5,64],[2,6,82],[2,7,1],[3,4,30],[3,5,70],[3,6,93],[3,7,53],[4,5,95],[4,6,20],[4,7,56],[5,6,10],[5,7,12],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,7)\",\"Add (2,7)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (5,7)\",\"Add (0,4)\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,61],[0,4,16],[0,5,52],[0,6,3],[0,7,16],[1,2,44],[1,3,57],[1,4,87],[1,5,89],[1,6,63],[1,7,1],[2,3,0],[2,4,60],[2,5,64],[2,6,82],[2,7,1],[3,4,30],[3,5,70],[3,6,93],[3,7,53],[4,5,95],[4,6,20],[4,7,56],[5,6,10],[5,7,12],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,7)=1, w=1\",\"Add (2,7)=1, w=2\",\"Add (0,6)=3, w=5\",\"Add (5,6)=10, w=15\",\"Add (5,7)=12, w=27\",\"Add (0,4)=16, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,61],[0,4,16],[0,5,52],[0,6,3],[0,7,16],[1,2,44],[1,3,57],[1,4,87],[1,5,89],[1,6,63],[1,7,1],[2,3,0],[2,4,60],[2,5,64],[2,6,82],[2,7,1],[3,4,30],[3,5,70],[3,6,93],[3,7,53],[4,5,95],[4,6,20],[4,7,56],[5,6,10],[5,7,12],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,7)=1 Succeeded, w=1\",\"Add (2,7)=1 Succeeded, w=2\",\"Add (0,6)=3 Succeeded, w=5\",\"Add (5,6)=10 Succeeded, w=15\",\"Add (5,7)=12 Succeeded, w=27\",\"Add (0,4)=16 Succeeded, w=43\",\"Add (0,7)=16 Failed, w=43\",\"Add (4,6)=20 Failed, w=43\",\"Add (3,4)=30 Failed, w=43\",\"Add (1,2)=44 Failed, w=43\",\"Add (0,5)=52 Failed, w=43\",\"Add (3,7)=53 Failed, w=43\",\"Add (4,7)=56 Failed, w=43\",\"Add (1,3)=57 Failed, w=43\",\"Add (2,4)=60 Failed, w=43\",\"Add (0,3)=61 Failed, w=43\",\"Add (1,6)=63 Failed, w=43\",\"Add (2,5)=64 Failed, w=43\",\"Add (3,5)=70 Failed, w=43\",\"Add (2,6)=82 Failed, w=43\",\"Add (1,4)=87 Failed, w=43\",\"Add (1,5)=89 Failed, w=43\",\"Add (0,2)=93 Failed, w=43\",\"Add (3,6)=93 Failed, w=43\",\"Add (6,7)=94 Failed, w=43\",\"Add (4,5)=95 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,61],[0,4,16],[0,5,52],[0,6,3],[0,7,16],[1,2,44],[1,3,57],[1,4,87],[1,5,89],[1,6,63],[1,7,1],[2,3,0],[2,4,60],[2,5,64],[2,6,82],[2,7,1],[3,4,30],[3,5,70],[3,6,93],[3,7,53],[4,5,95],[4,6,20],[4,7,56],[5,6,10],[5,7,12],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,7)=1,(2,7)=1,(0,6)=3,(5,6)=10,(5,7)=12,(0,4)=16,(0,7)=16,(4,6)=20,(3,4)=30,(1,2)=44,(0,5)=52,(3,7)=53,(4,7)=56,(1,3)=57,(2,4)=60,(0,3)=61,(1,6)=63,(2,5)=64,(3,5)=70,(2,6)=82,(1,4)=87,(1,5)=89,(0,2)=93,(3,6)=93,(6,7)=94,(4,5)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Find(2)=2, Find(7)=1, Add (2,7)=1 Succeeded, w=2\",\"Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=5\",\"Find(5)=5, Find(6)=0, Add (5,6)=10 Succeeded, w=15\",\"Find(5)=0, Find(7)=2, Add (5,7)=12 Succeeded, w=27\",\"Find(0)=2, Find(4)=4, Add (0,4)=16 Succeeded, w=43\",\"Find(0)=2, Find(7)=2, Add (0,7)=16 Failed, w=43\",\"Find(4)=2, Find(6)=2, Add (4,6)=20 Failed, w=43\",\"Find(3)=2, Find(4)=2, Add (3,4)=30 Failed, w=43\",\"Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=43\",\"Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=43\",\"Find(3)=2, Find(7)=2, Add (3,7)=53 Failed, w=43\",\"Find(4)=2, Find(7)=2, Add (4,7)=56 Failed, w=43\",\"Find(1)=2, Find(3)=2, Add (1,3)=57 Failed, w=43\",\"Find(2)=2, Find(4)=2, Add (2,4)=60 Failed, w=43\",\"Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=43\",\"Find(1)=2, Find(6)=2, Add (1,6)=63 Failed, w=43\",\"Find(2)=2, Find(5)=2, Add (2,5)=64 Failed, w=43\",\"Find(3)=2, Find(5)=2, Add (3,5)=70 Failed, w=43\",\"Find(2)=2, Find(6)=2, Add (2,6)=82 Failed, w=43\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=43\",\"Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=43\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=43\",\"Find(3)=2, Find(6)=2, Add (3,6)=93 Failed, w=43\",\"Find(6)=2, Find(7)=2, Add (6,7)=94 Failed, w=43\",\"Find(4)=2, Find(5)=2, Add (4,5)=95 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,61],[0,4,16],[0,5,52],[0,6,3],[0,7,16],[1,2,44],[1,3,57],[1,4,87],[1,5,89],[1,6,63],[1,7,1],[2,3,0],[2,4,60],[2,5,64],[2,6,82],[2,7,1],[3,4,30],[3,5,70],[3,6,93],[3,7,53],[4,5,95],[4,6,20],[4,7,56],[5,6,10],[5,7,12],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,7)=1,(2,7)=1,(0,6)=3,(5,6)=10,(5,7)=12,(0,4)=16,(0,7)=16,(4,6)=20,(3,4)=30,(1,2)=44,(0,5)=52,(3,7)=53,(4,7)=56,(1,3)=57,(2,4)=60,(0,3)=61,(1,6)=63,(2,5)=64,(3,5)=70,(2,6)=82,(1,4)=87,(1,5)=89,(0,2)=93,(3,6)=93,(6,7)=94,(4,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 0, 7: 1}, Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0, 6: 0, 7: 1}, Find(5)=5, Find(6)=0, Add (5,6)=10 Succeeded, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0, 6: 0, 7: 2}, Find(5)=0, Find(7)=2, Add (5,7)=12 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 0, 7: 2}, Find(0)=2, Find(4)=4, Add (0,4)=16 Succeeded, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 0, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=16 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=20 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=30 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=43\",\"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)=53 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=56 Failed, w=43\",\"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)=57 Failed, w=43\",\"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)=60 Failed, w=43\",\"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)=61 Failed, w=43\",\"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)=63 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=64 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=70 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=82 Failed, w=43\",\"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)=87 Failed, w=43\",\"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)=89 Failed, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=43\",\"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)=93 Failed, w=43\",\"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)=94 Failed, w=43\",\"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)=95 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,21],[0,3,37],[0,4,99],[0,6,89],[0,7,56],[1,3,50],[2,4,57],[2,5,37],[2,6,13],[2,7,87],[3,5,62],[3,7,40],[4,5,49],[4,7,64],[5,6,77],[6,7,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,3,37],[0,4,99],[0,6,89],[0,7,56],[1,3,50],[2,4,57],[2,5,37],[2,6,13],[2,7,87],[3,5,62],[3,7,40],[4,5,49],[4,7,64],[5,6,77],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":234}",
"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],[0,3,37],[0,4,99],[0,6,89],[0,7,56],[1,3,50],[2,4,57],[2,5,37],[2,6,13],[2,7,87],[3,5,62],[3,7,40],[4,5,49],[4,7,64],[5,6,77],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (6,7)\",\"Add (3,7)\",\"Add (4,5)\"],\"Answer\":234}",
"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],[0,3,37],[0,4,99],[0,6,89],[0,7,56],[1,3,50],[2,4,57],[2,5,37],[2,6,13],[2,7,87],[3,5,62],[3,7,40],[4,5,49],[4,7,64],[5,6,77],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=13, w=13\",\"Add (0,1)=21, w=34\",\"Add (0,3)=37, w=71\",\"Add (2,5)=37, w=108\",\"Add (6,7)=37, w=145\",\"Add (3,7)=40, w=185\",\"Add (4,5)=49, w=234\"],\"Answer\":234}",
"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],[0,3,37],[0,4,99],[0,6,89],[0,7,56],[1,3,50],[2,4,57],[2,5,37],[2,6,13],[2,7,87],[3,5,62],[3,7,40],[4,5,49],[4,7,64],[5,6,77],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=13 Succeeded, w=13\",\"Add (0,1)=21 Succeeded, w=34\",\"Add (0,3)=37 Succeeded, w=71\",\"Add (2,5)=37 Succeeded, w=108\",\"Add (6,7)=37 Succeeded, w=145\",\"Add (3,7)=40 Succeeded, w=185\",\"Add (4,5)=49 Succeeded, w=234\",\"Add (1,3)=50 Failed, w=234\",\"Add (0,7)=56 Failed, w=234\",\"Add (2,4)=57 Failed, w=234\",\"Add (3,5)=62 Failed, w=234\",\"Add (4,7)=64 Failed, w=234\",\"Add (5,6)=77 Failed, w=234\",\"Add (2,7)=87 Failed, w=234\",\"Add (0,6)=89 Failed, w=234\",\"Add (0,4)=99 Failed, w=234\"],\"Answer\":234}",
"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],[0,3,37],[0,4,99],[0,6,89],[0,7,56],[1,3,50],[2,4,57],[2,5,37],[2,6,13],[2,7,87],[3,5,62],[3,7,40],[4,5,49],[4,7,64],[5,6,77],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=13,(0,1)=21,(0,3)=37,(2,5)=37,(6,7)=37,(3,7)=40,(4,5)=49,(1,3)=50,(0,7)=56,(2,4)=57,(3,5)=62,(4,7)=64,(5,6)=77,(2,7)=87,(0,6)=89,(0,4)=99]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=34\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=71\",\"Find(2)=2, Find(5)=5, Add (2,5)=37 Succeeded, w=108\",\"Find(6)=2, Find(7)=7, Add (6,7)=37 Succeeded, w=145\",\"Find(3)=0, Find(7)=2, Add (3,7)=40 Succeeded, w=185\",\"Find(4)=4, Find(5)=0, Add (4,5)=49 Succeeded, w=234\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=234\",\"Find(0)=0, Find(7)=0, Add (0,7)=56 Failed, w=234\",\"Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=234\",\"Find(3)=0, Find(5)=0, Add (3,5)=62 Failed, w=234\",\"Find(4)=0, Find(7)=0, Add (4,7)=64 Failed, w=234\",\"Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=234\",\"Find(2)=0, Find(7)=0, Add (2,7)=87 Failed, w=234\",\"Find(0)=0, Find(6)=0, Add (0,6)=89 Failed, w=234\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=234\"],\"Answer\":234}",
"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],[0,3,37],[0,4,99],[0,6,89],[0,7,56],[1,3,50],[2,4,57],[2,5,37],[2,6,13],[2,7,87],[3,5,62],[3,7,40],[4,5,49],[4,7,64],[5,6,77],[6,7,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=13,(0,1)=21,(0,3)=37,(2,5)=37,(6,7)=37,(3,7)=40,(4,5)=49,(1,3)=50,(0,7)=56,(2,4)=57,(3,5)=62,(4,7)=64,(5,6)=77,(2,7)=87,(0,6)=89,(0,4)=99]\",\"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)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=37 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=7, Add (6,7)=37 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 2, 6: 2, 7: 2}, Find(3)=0, Find(7)=2, Add (3,7)=40 Succeeded, w=185\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(4)=4, Find(5)=0, Add (4,5)=49 Succeeded, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=56 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=62 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=64 Failed, w=234\",\"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)=77 Failed, w=234\",\"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)=87 Failed, w=234\",\"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)=89 Failed, w=234\",\"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)=99 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,13],[0,3,6],[0,5,25],[1,2,49],[1,4,55],[1,5,49],[2,3,30],[2,5,18],[4,5,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,13],[0,3,6],[0,5,25],[1,2,49],[1,4,55],[1,5,49],[2,3,30],[2,5,18],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,13],[0,3,6],[0,5,25],[1,2,49],[1,4,55],[1,5,49],[2,3,30],[2,5,18],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,13],[0,3,6],[0,5,25],[1,2,49],[1,4,55],[1,5,49],[2,3,30],[2,5,18],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (0,2)=13, w=19\",\"Add (2,5)=18, w=37\",\"Add (1,2)=49, w=86\",\"Add (1,4)=55, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,13],[0,3,6],[0,5,25],[1,2,49],[1,4,55],[1,5,49],[2,3,30],[2,5,18],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (0,2)=13 Succeeded, w=19\",\"Add (2,5)=18 Succeeded, w=37\",\"Add (0,5)=25 Failed, w=37\",\"Add (2,3)=30 Failed, w=37\",\"Add (1,2)=49 Succeeded, w=86\",\"Add (1,5)=49 Failed, w=86\",\"Add (1,4)=55 Succeeded, w=141\",\"Add (4,5)=83 Failed, w=141\",\"Add (0,1)=90 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,13],[0,3,6],[0,5,25],[1,2,49],[1,4,55],[1,5,49],[2,3,30],[2,5,18],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(0,2)=13,(2,5)=18,(0,5)=25,(2,3)=30,(1,2)=49,(1,5)=49,(1,4)=55,(4,5)=83,(0,1)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=19\",\"Find(2)=0, Find(5)=5, Add (2,5)=18 Succeeded, w=37\",\"Find(0)=0, Find(5)=0, Add (0,5)=25 Failed, w=37\",\"Find(2)=0, Find(3)=0, Add (2,3)=30 Failed, w=37\",\"Find(1)=1, Find(2)=0, Add (1,2)=49 Succeeded, w=86\",\"Find(1)=0, Find(5)=0, Add (1,5)=49 Failed, w=86\",\"Find(1)=0, Find(4)=4, Add (1,4)=55 Succeeded, w=141\",\"Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=141\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,13],[0,3,6],[0,5,25],[1,2,49],[1,4,55],[1,5,49],[2,3,30],[2,5,18],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(0,2)=13,(2,5)=18,(0,5)=25,(2,3)=30,(1,2)=49,(1,5)=49,(1,4)=55,(4,5)=83,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=18 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=25 Failed, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=30 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=49 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=49 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=55 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,3,63],[0,4,85],[1,2,96],[1,3,44],[2,5,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,63],[0,4,85],[1,2,96],[1,3,44],[2,5,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,63],[0,4,85],[1,2,96],[1,3,44],[2,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,63],[0,4,85],[1,2,96],[1,3,44],[2,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (1,3)=44, w=46\",\"Add (0,1)=50, w=96\",\"Add (0,4)=85, w=181\",\"Add (1,2)=96, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,63],[0,4,85],[1,2,96],[1,3,44],[2,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (1,3)=44 Succeeded, w=46\",\"Add (0,1)=50 Succeeded, w=96\",\"Add (0,3)=63 Failed, w=96\",\"Add (0,4)=85 Succeeded, w=181\",\"Add (1,2)=96 Succeeded, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,63],[0,4,85],[1,2,96],[1,3,44],[2,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(1,3)=44,(0,1)=50,(0,3)=63,(0,4)=85,(1,2)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=46\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=96\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=96\",\"Find(0)=1, Find(4)=4, Add (0,4)=85 Succeeded, w=181\",\"Find(1)=1, Find(2)=2, Add (1,2)=96 Succeeded, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,3,63],[0,4,85],[1,2,96],[1,3,44],[2,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(1,3)=44,(0,1)=50,(0,3)=63,(0,4)=85,(1,2)=96]\",\"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: 1, 4: 4, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=1, Find(4)=4, Add (0,4)=85 Succeeded, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=96 Succeeded, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[0,3,50],[2,3,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,3,50],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,3,50],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,3,50],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=50, w=50\",\"Add (0,1)=70, w=120\",\"Add (2,3)=95, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,3,50],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=50 Succeeded, w=50\",\"Add (0,1)=70 Succeeded, w=120\",\"Add (2,3)=95 Succeeded, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,3,50],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=50,(0,1)=70,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=50 Succeeded, w=50\",\"Find(0)=0, Find(1)=1, Add (0,1)=70 Succeeded, w=120\",\"Find(2)=2, Find(3)=0, Add (2,3)=95 Succeeded, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,3,50],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=50,(0,1)=70,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=50 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=70 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=95 Succeeded, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,39],[0,2,10],[0,3,38],[0,4,87],[0,5,11],[0,6,60],[1,2,94],[1,3,51],[1,4,61],[1,5,26],[1,6,96],[2,3,46],[2,4,75],[2,5,88],[2,6,64],[3,4,100],[3,5,64],[3,6,58],[4,5,31],[4,6,84],[5,6,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,10],[0,3,38],[0,4,87],[0,5,11],[0,6,60],[1,2,94],[1,3,51],[1,4,61],[1,5,26],[1,6,96],[2,3,46],[2,4,75],[2,5,88],[2,6,64],[3,4,100],[3,5,64],[3,6,58],[4,5,31],[4,6,84],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,10],[0,3,38],[0,4,87],[0,5,11],[0,6,60],[1,2,94],[1,3,51],[1,4,61],[1,5,26],[1,6,96],[2,3,46],[2,4,75],[2,5,88],[2,6,64],[3,4,100],[3,5,64],[3,6,58],[4,5,31],[4,6,84],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (3,6)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,10],[0,3,38],[0,4,87],[0,5,11],[0,6,60],[1,2,94],[1,3,51],[1,4,61],[1,5,26],[1,6,96],[2,3,46],[2,4,75],[2,5,88],[2,6,64],[3,4,100],[3,5,64],[3,6,58],[4,5,31],[4,6,84],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (0,5)=11, w=21\",\"Add (1,5)=26, w=47\",\"Add (4,5)=31, w=78\",\"Add (0,3)=38, w=116\",\"Add (3,6)=58, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,10],[0,3,38],[0,4,87],[0,5,11],[0,6,60],[1,2,94],[1,3,51],[1,4,61],[1,5,26],[1,6,96],[2,3,46],[2,4,75],[2,5,88],[2,6,64],[3,4,100],[3,5,64],[3,6,58],[4,5,31],[4,6,84],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (0,5)=11 Succeeded, w=21\",\"Add (1,5)=26 Succeeded, w=47\",\"Add (4,5)=31 Succeeded, w=78\",\"Add (0,3)=38 Succeeded, w=116\",\"Add (0,1)=39 Failed, w=116\",\"Add (2,3)=46 Failed, w=116\",\"Add (1,3)=51 Failed, w=116\",\"Add (3,6)=58 Succeeded, w=174\",\"Add (0,6)=60 Failed, w=174\",\"Add (1,4)=61 Failed, w=174\",\"Add (2,6)=64 Failed, w=174\",\"Add (3,5)=64 Failed, w=174\",\"Add (2,4)=75 Failed, w=174\",\"Add (4,6)=84 Failed, w=174\",\"Add (0,4)=87 Failed, w=174\",\"Add (2,5)=88 Failed, w=174\",\"Add (5,6)=89 Failed, w=174\",\"Add (1,2)=94 Failed, w=174\",\"Add (1,6)=96 Failed, w=174\",\"Add (3,4)=100 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,10],[0,3,38],[0,4,87],[0,5,11],[0,6,60],[1,2,94],[1,3,51],[1,4,61],[1,5,26],[1,6,96],[2,3,46],[2,4,75],[2,5,88],[2,6,64],[3,4,100],[3,5,64],[3,6,58],[4,5,31],[4,6,84],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(0,5)=11,(1,5)=26,(4,5)=31,(0,3)=38,(0,1)=39,(2,3)=46,(1,3)=51,(3,6)=58,(0,6)=60,(1,4)=61,(2,6)=64,(3,5)=64,(2,4)=75,(4,6)=84,(0,4)=87,(2,5)=88,(5,6)=89,(1,2)=94,(1,6)=96,(3,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=21\",\"Find(1)=1, Find(5)=0, Add (1,5)=26 Succeeded, w=47\",\"Find(4)=4, Find(5)=0, Add (4,5)=31 Succeeded, w=78\",\"Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=116\",\"Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=116\",\"Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=116\",\"Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=116\",\"Find(3)=0, Find(6)=6, Add (3,6)=58 Succeeded, w=174\",\"Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=174\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=174\",\"Find(2)=0, Find(6)=0, Add (2,6)=64 Failed, w=174\",\"Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=174\",\"Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=174\",\"Find(4)=0, Find(6)=0, Add (4,6)=84 Failed, w=174\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=174\",\"Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=174\",\"Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=174\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=174\",\"Find(1)=0, Find(6)=0, Add (1,6)=96 Failed, w=174\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,10],[0,3,38],[0,4,87],[0,5,11],[0,6,60],[1,2,94],[1,3,51],[1,4,61],[1,5,26],[1,6,96],[2,3,46],[2,4,75],[2,5,88],[2,6,64],[3,4,100],[3,5,64],[3,6,58],[4,5,31],[4,6,84],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(0,5)=11,(1,5)=26,(4,5)=31,(0,3)=38,(0,1)=39,(2,3)=46,(1,3)=51,(3,6)=58,(0,6)=60,(1,4)=61,(2,6)=64,(3,5)=64,(2,4)=75,(4,6)=84,(0,4)=87,(2,5)=88,(5,6)=89,(1,2)=94,(1,6)=96,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=26 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=31 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=58 Succeeded, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=64 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=64 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=174\",\"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=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=96 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,83],[0,2,56],[1,2,95],[1,3,84],[2,3,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,56],[1,2,95],[1,3,84],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,56],[1,2,95],[1,3,84],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,56],[1,2,95],[1,3,84],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33, w=33\",\"Add (0,2)=56, w=89\",\"Add (0,1)=83, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,56],[1,2,95],[1,3,84],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33 Succeeded, w=33\",\"Add (0,2)=56 Succeeded, w=89\",\"Add (0,1)=83 Succeeded, w=172\",\"Add (1,3)=84 Failed, w=172\",\"Add (1,2)=95 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,56],[1,2,95],[1,3,84],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(0,2)=56,(0,1)=83,(1,3)=84,(1,2)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=89\",\"Find(0)=2, Find(1)=1, Add (0,1)=83 Succeeded, w=172\",\"Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=172\",\"Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,56],[1,2,95],[1,3,84],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(0,2)=56,(0,1)=83,(1,3)=84,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=83 Succeeded, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,84],[0,2,61],[0,3,79],[0,4,4],[1,2,95],[1,4,36],[3,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,61],[0,3,79],[0,4,4],[1,2,95],[1,4,36],[3,4,21]]}",
"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\":[[0,1,84],[0,2,61],[0,3,79],[0,4,4],[1,2,95],[1,4,36],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,61],[0,3,79],[0,4,4],[1,2,95],[1,4,36],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (3,4)=21, w=25\",\"Add (1,4)=36, w=61\",\"Add (0,2)=61, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,84],[0,2,61],[0,3,79],[0,4,4],[1,2,95],[1,4,36],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (3,4)=21 Succeeded, w=25\",\"Add (1,4)=36 Succeeded, w=61\",\"Add (0,2)=61 Succeeded, w=122\",\"Add (0,3)=79 Failed, w=122\",\"Add (0,1)=84 Failed, w=122\",\"Add (1,2)=95 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\":[[0,1,84],[0,2,61],[0,3,79],[0,4,4],[1,2,95],[1,4,36],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(3,4)=21,(1,4)=36,(0,2)=61,(0,3)=79,(0,1)=84,(1,2)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(3)=3, Find(4)=0, Add (3,4)=21 Succeeded, w=25\",\"Find(1)=1, Find(4)=0, Add (1,4)=36 Succeeded, w=61\",\"Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=122\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=122\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=122\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 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\":[[0,1,84],[0,2,61],[0,3,79],[0,4,4],[1,2,95],[1,4,36],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(3,4)=21,(1,4)=36,(0,2)=61,(0,3)=79,(0,1)=84,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=21 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=36 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,3,76],[0,4,36],[1,2,43],[1,3,13],[1,4,74],[2,3,32],[3,4,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,3,76],[0,4,36],[1,2,43],[1,3,13],[1,4,74],[2,3,32],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,3,76],[0,4,36],[1,2,43],[1,3,13],[1,4,74],[2,3,32],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,3,76],[0,4,36],[1,2,43],[1,3,13],[1,4,74],[2,3,32],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13, w=13\",\"Add (2,3)=32, w=45\",\"Add (0,1)=33, w=78\",\"Add (0,4)=36, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,3,76],[0,4,36],[1,2,43],[1,3,13],[1,4,74],[2,3,32],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13 Succeeded, w=13\",\"Add (2,3)=32 Succeeded, w=45\",\"Add (0,1)=33 Succeeded, w=78\",\"Add (0,4)=36 Succeeded, w=114\",\"Add (1,2)=43 Failed, w=114\",\"Add (1,4)=74 Failed, w=114\",\"Add (0,3)=76 Failed, w=114\",\"Add (3,4)=76 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,3,76],[0,4,36],[1,2,43],[1,3,13],[1,4,74],[2,3,32],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(2,3)=32,(0,1)=33,(0,4)=36,(1,2)=43,(1,4)=74,(0,3)=76,(3,4)=76]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=45\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=78\",\"Find(0)=1, Find(4)=4, Add (0,4)=36 Succeeded, w=114\",\"Find(1)=1, Find(2)=1, Add (1,2)=43 Failed, w=114\",\"Find(1)=1, Find(4)=1, Add (1,4)=74 Failed, w=114\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=114\",\"Find(3)=1, Find(4)=1, Add (3,4)=76 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,3,76],[0,4,36],[1,2,43],[1,3,13],[1,4,74],[2,3,32],[3,4,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(2,3)=32,(0,1)=33,(0,4)=36,(1,2)=43,(1,4)=74,(0,3)=76,(3,4)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=36 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=43 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=74 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=76 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,82],[0,2,13],[0,3,54],[0,4,83],[0,5,50],[0,6,28],[1,2,58],[1,3,84],[1,4,12],[1,5,43],[1,6,71],[2,3,65],[2,4,1],[2,5,98],[2,6,96],[3,4,98],[3,5,37],[3,6,90],[4,5,18],[4,6,50],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,13],[0,3,54],[0,4,83],[0,5,50],[0,6,28],[1,2,58],[1,3,84],[1,4,12],[1,5,43],[1,6,71],[2,3,65],[2,4,1],[2,5,98],[2,6,96],[3,4,98],[3,5,37],[3,6,90],[4,5,18],[4,6,50],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,13],[0,3,54],[0,4,83],[0,5,50],[0,6,28],[1,2,58],[1,3,84],[1,4,12],[1,5,43],[1,6,71],[2,3,65],[2,4,1],[2,5,98],[2,6,96],[3,4,98],[3,5,37],[3,6,90],[4,5,18],[4,6,50],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (3,5)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,13],[0,3,54],[0,4,83],[0,5,50],[0,6,28],[1,2,58],[1,3,84],[1,4,12],[1,5,43],[1,6,71],[2,3,65],[2,4,1],[2,5,98],[2,6,96],[3,4,98],[3,5,37],[3,6,90],[4,5,18],[4,6,50],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (1,4)=12, w=13\",\"Add (0,2)=13, w=26\",\"Add (4,5)=18, w=44\",\"Add (0,6)=28, w=72\",\"Add (3,5)=37, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,13],[0,3,54],[0,4,83],[0,5,50],[0,6,28],[1,2,58],[1,3,84],[1,4,12],[1,5,43],[1,6,71],[2,3,65],[2,4,1],[2,5,98],[2,6,96],[3,4,98],[3,5,37],[3,6,90],[4,5,18],[4,6,50],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (1,4)=12 Succeeded, w=13\",\"Add (0,2)=13 Succeeded, w=26\",\"Add (4,5)=18 Succeeded, w=44\",\"Add (0,6)=28 Succeeded, w=72\",\"Add (3,5)=37 Succeeded, w=109\",\"Add (5,6)=41 Failed, w=109\",\"Add (1,5)=43 Failed, w=109\",\"Add (0,5)=50 Failed, w=109\",\"Add (4,6)=50 Failed, w=109\",\"Add (0,3)=54 Failed, w=109\",\"Add (1,2)=58 Failed, w=109\",\"Add (2,3)=65 Failed, w=109\",\"Add (1,6)=71 Failed, w=109\",\"Add (0,1)=82 Failed, w=109\",\"Add (0,4)=83 Failed, w=109\",\"Add (1,3)=84 Failed, w=109\",\"Add (3,6)=90 Failed, w=109\",\"Add (2,6)=96 Failed, w=109\",\"Add (2,5)=98 Failed, w=109\",\"Add (3,4)=98 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,13],[0,3,54],[0,4,83],[0,5,50],[0,6,28],[1,2,58],[1,3,84],[1,4,12],[1,5,43],[1,6,71],[2,3,65],[2,4,1],[2,5,98],[2,6,96],[3,4,98],[3,5,37],[3,6,90],[4,5,18],[4,6,50],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,4)=12,(0,2)=13,(4,5)=18,(0,6)=28,(3,5)=37,(5,6)=41,(1,5)=43,(0,5)=50,(4,6)=50,(0,3)=54,(1,2)=58,(2,3)=65,(1,6)=71,(0,1)=82,(0,4)=83,(1,3)=84,(3,6)=90,(2,6)=96,(2,5)=98,(3,4)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=13\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=26\",\"Find(4)=2, Find(5)=5, Add (4,5)=18 Succeeded, w=44\",\"Find(0)=2, Find(6)=6, Add (0,6)=28 Succeeded, w=72\",\"Find(3)=3, Find(5)=2, Add (3,5)=37 Succeeded, w=109\",\"Find(5)=2, Find(6)=2, Add (5,6)=41 Failed, w=109\",\"Find(1)=2, Find(5)=2, Add (1,5)=43 Failed, w=109\",\"Find(0)=2, Find(5)=2, Add (0,5)=50 Failed, w=109\",\"Find(4)=2, Find(6)=2, Add (4,6)=50 Failed, w=109\",\"Find(0)=2, Find(3)=2, Add (0,3)=54 Failed, w=109\",\"Find(1)=2, Find(2)=2, Add (1,2)=58 Failed, w=109\",\"Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=109\",\"Find(1)=2, Find(6)=2, Add (1,6)=71 Failed, w=109\",\"Find(0)=2, Find(1)=2, Add (0,1)=82 Failed, w=109\",\"Find(0)=2, Find(4)=2, Add (0,4)=83 Failed, w=109\",\"Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=109\",\"Find(3)=2, Find(6)=2, Add (3,6)=90 Failed, w=109\",\"Find(2)=2, Find(6)=2, Add (2,6)=96 Failed, w=109\",\"Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=109\",\"Find(3)=2, Find(4)=2, Add (3,4)=98 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,13],[0,3,54],[0,4,83],[0,5,50],[0,6,28],[1,2,58],[1,3,84],[1,4,12],[1,5,43],[1,6,71],[2,3,65],[2,4,1],[2,5,98],[2,6,96],[3,4,98],[3,5,37],[3,6,90],[4,5,18],[4,6,50],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,4)=12,(0,2)=13,(4,5)=18,(0,6)=28,(3,5)=37,(5,6)=41,(1,5)=43,(0,5)=50,(4,6)=50,(0,3)=54,(1,2)=58,(2,3)=65,(1,6)=71,(0,1)=82,(0,4)=83,(1,3)=84,(3,6)=90,(2,6)=96,(2,5)=98,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=13\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(4)=2, Find(5)=5, Add (4,5)=18 Succeeded, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=6, Add (0,6)=28 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=3, Find(5)=2, Add (3,5)=37 Succeeded, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=41 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=43 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=50 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=50 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=54 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=58 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=71 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=82 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=83 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=90 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=96 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=98 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,19],[0,2,53],[0,3,28],[0,4,27],[1,2,58],[1,3,23],[1,4,72],[2,3,12],[3,4,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,53],[0,3,28],[0,4,27],[1,2,58],[1,3,23],[1,4,72],[2,3,12],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,53],[0,3,28],[0,4,27],[1,2,58],[1,3,23],[1,4,72],[2,3,12],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,53],[0,3,28],[0,4,27],[1,2,58],[1,3,23],[1,4,72],[2,3,12],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (0,1)=19, w=31\",\"Add (1,3)=23, w=54\",\"Add (0,4)=27, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,53],[0,3,28],[0,4,27],[1,2,58],[1,3,23],[1,4,72],[2,3,12],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (0,1)=19 Succeeded, w=31\",\"Add (1,3)=23 Succeeded, w=54\",\"Add (0,4)=27 Succeeded, w=81\",\"Add (0,3)=28 Failed, w=81\",\"Add (0,2)=53 Failed, w=81\",\"Add (1,2)=58 Failed, w=81\",\"Add (1,4)=72 Failed, w=81\",\"Add (3,4)=73 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,53],[0,3,28],[0,4,27],[1,2,58],[1,3,23],[1,4,72],[2,3,12],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,1)=19,(1,3)=23,(0,4)=27,(0,3)=28,(0,2)=53,(1,2)=58,(1,4)=72,(3,4)=73]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=31\",\"Find(1)=0, Find(3)=2, Add (1,3)=23 Succeeded, w=54\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=81\",\"Find(0)=0, Find(3)=0, Add (0,3)=28 Failed, w=81\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=81\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=81\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=81\",\"Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,53],[0,3,28],[0,4,27],[1,2,58],[1,3,23],[1,4,72],[2,3,12],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,1)=19,(1,3)=23,(0,4)=27,(0,3)=28,(0,2)=53,(1,2)=58,(1,4)=72,(3,4)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(3)=2, Add (1,3)=23 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=28 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=73 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,6,53],[0,7,3],[1,2,78],[1,4,95],[1,5,11],[1,6,62],[2,5,93],[2,6,28],[3,5,99],[3,6,85],[4,5,6],[5,6,17],[6,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,53],[0,7,3],[1,2,78],[1,4,95],[1,5,11],[1,6,62],[2,5,93],[2,6,28],[3,5,99],[3,6,85],[4,5,6],[5,6,17],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,53],[0,7,3],[1,2,78],[1,4,95],[1,5,11],[1,6,62],[2,5,93],[2,6,28],[3,5,99],[3,6,85],[4,5,6],[5,6,17],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (6,7)\",\"Add (2,6)\",\"Add (3,6)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,53],[0,7,3],[1,2,78],[1,4,95],[1,5,11],[1,6,62],[2,5,93],[2,6,28],[3,5,99],[3,6,85],[4,5,6],[5,6,17],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=3, w=3\",\"Add (4,5)=6, w=9\",\"Add (1,5)=11, w=20\",\"Add (5,6)=17, w=37\",\"Add (6,7)=22, w=59\",\"Add (2,6)=28, w=87\",\"Add (3,6)=85, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,53],[0,7,3],[1,2,78],[1,4,95],[1,5,11],[1,6,62],[2,5,93],[2,6,28],[3,5,99],[3,6,85],[4,5,6],[5,6,17],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=3 Succeeded, w=3\",\"Add (4,5)=6 Succeeded, w=9\",\"Add (1,5)=11 Succeeded, w=20\",\"Add (5,6)=17 Succeeded, w=37\",\"Add (6,7)=22 Succeeded, w=59\",\"Add (2,6)=28 Succeeded, w=87\",\"Add (0,6)=53 Failed, w=87\",\"Add (1,6)=62 Failed, w=87\",\"Add (1,2)=78 Failed, w=87\",\"Add (3,6)=85 Succeeded, w=172\",\"Add (2,5)=93 Failed, w=172\",\"Add (1,4)=95 Failed, w=172\",\"Add (3,5)=99 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,53],[0,7,3],[1,2,78],[1,4,95],[1,5,11],[1,6,62],[2,5,93],[2,6,28],[3,5,99],[3,6,85],[4,5,6],[5,6,17],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=3,(4,5)=6,(1,5)=11,(5,6)=17,(6,7)=22,(2,6)=28,(0,6)=53,(1,6)=62,(1,2)=78,(3,6)=85,(2,5)=93,(1,4)=95,(3,5)=99]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=9\",\"Find(1)=1, Find(5)=4, Add (1,5)=11 Succeeded, w=20\",\"Find(5)=4, Find(6)=6, Add (5,6)=17 Succeeded, w=37\",\"Find(6)=4, Find(7)=0, Add (6,7)=22 Succeeded, w=59\",\"Find(2)=2, Find(6)=4, Add (2,6)=28 Succeeded, w=87\",\"Find(0)=4, Find(6)=4, Add (0,6)=53 Failed, w=87\",\"Find(1)=4, Find(6)=4, Add (1,6)=62 Failed, w=87\",\"Find(1)=4, Find(2)=4, Add (1,2)=78 Failed, w=87\",\"Find(3)=3, Find(6)=4, Add (3,6)=85 Succeeded, w=172\",\"Find(2)=4, Find(5)=4, Add (2,5)=93 Failed, w=172\",\"Find(1)=4, Find(4)=4, Add (1,4)=95 Failed, w=172\",\"Find(3)=4, Find(5)=4, Add (3,5)=99 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,53],[0,7,3],[1,2,78],[1,4,95],[1,5,11],[1,6,62],[2,5,93],[2,6,28],[3,5,99],[3,6,85],[4,5,6],[5,6,17],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=3,(4,5)=6,(1,5)=11,(5,6)=17,(6,7)=22,(2,6)=28,(0,6)=53,(1,6)=62,(1,2)=78,(3,6)=85,(2,5)=93,(1,4)=95,(3,5)=99]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 0}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 0}, Find(1)=1, Find(5)=4, Add (1,5)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 0}, Find(5)=4, Find(6)=6, Add (5,6)=17 Succeeded, w=37\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 0}, Find(6)=4, Find(7)=0, Add (6,7)=22 Succeeded, w=59\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 0}, Find(2)=2, Find(6)=4, Add (2,6)=28 Succeeded, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 0}, Find(0)=4, Find(6)=4, Add (0,6)=53 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 0}, Find(1)=4, Find(6)=4, Add (1,6)=62 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 0}, Find(1)=4, Find(2)=4, Add (1,2)=78 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(3)=3, Find(6)=4, Add (3,6)=85 Succeeded, w=172\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(2)=4, Find(5)=4, Add (2,5)=93 Failed, w=172\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(1)=4, Find(4)=4, Add (1,4)=95 Failed, w=172\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 0}, Find(3)=4, Find(5)=4, Add (3,5)=99 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,30],[0,4,54],[0,6,22],[1,2,96],[1,3,54],[1,4,38],[1,5,21],[1,6,6],[2,3,19],[2,4,59],[2,5,55],[2,6,26],[3,4,79],[3,5,63],[4,5,62],[5,6,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,30],[0,4,54],[0,6,22],[1,2,96],[1,3,54],[1,4,38],[1,5,21],[1,6,6],[2,3,19],[2,4,59],[2,5,55],[2,6,26],[3,4,79],[3,5,63],[4,5,62],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,30],[0,4,54],[0,6,22],[1,2,96],[1,3,54],[1,4,38],[1,5,21],[1,6,6],[2,3,19],[2,4,59],[2,5,55],[2,6,26],[3,4,79],[3,5,63],[4,5,62],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (1,4)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,30],[0,4,54],[0,6,22],[1,2,96],[1,3,54],[1,4,38],[1,5,21],[1,6,6],[2,3,19],[2,4,59],[2,5,55],[2,6,26],[3,4,79],[3,5,63],[4,5,62],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=6, w=6\",\"Add (2,3)=19, w=25\",\"Add (1,5)=21, w=46\",\"Add (0,6)=22, w=68\",\"Add (2,6)=26, w=94\",\"Add (1,4)=38, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,30],[0,4,54],[0,6,22],[1,2,96],[1,3,54],[1,4,38],[1,5,21],[1,6,6],[2,3,19],[2,4,59],[2,5,55],[2,6,26],[3,4,79],[3,5,63],[4,5,62],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=6 Succeeded, w=6\",\"Add (2,3)=19 Succeeded, w=25\",\"Add (1,5)=21 Succeeded, w=46\",\"Add (0,6)=22 Succeeded, w=68\",\"Add (2,6)=26 Succeeded, w=94\",\"Add (0,2)=30 Failed, w=94\",\"Add (1,4)=38 Succeeded, w=132\",\"Add (5,6)=42 Failed, w=132\",\"Add (0,4)=54 Failed, w=132\",\"Add (1,3)=54 Failed, w=132\",\"Add (2,5)=55 Failed, w=132\",\"Add (2,4)=59 Failed, w=132\",\"Add (4,5)=62 Failed, w=132\",\"Add (3,5)=63 Failed, w=132\",\"Add (3,4)=79 Failed, w=132\",\"Add (1,2)=96 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,30],[0,4,54],[0,6,22],[1,2,96],[1,3,54],[1,4,38],[1,5,21],[1,6,6],[2,3,19],[2,4,59],[2,5,55],[2,6,26],[3,4,79],[3,5,63],[4,5,62],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=6,(2,3)=19,(1,5)=21,(0,6)=22,(2,6)=26,(0,2)=30,(1,4)=38,(5,6)=42,(0,4)=54,(1,3)=54,(2,5)=55,(2,4)=59,(4,5)=62,(3,5)=63,(3,4)=79,(1,2)=96]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=25\",\"Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=46\",\"Find(0)=0, Find(6)=1, Add (0,6)=22 Succeeded, w=68\",\"Find(2)=2, Find(6)=1, Add (2,6)=26 Succeeded, w=94\",\"Find(0)=2, Find(2)=2, Add (0,2)=30 Failed, w=94\",\"Find(1)=2, Find(4)=4, Add (1,4)=38 Succeeded, w=132\",\"Find(5)=2, Find(6)=2, Add (5,6)=42 Failed, w=132\",\"Find(0)=2, Find(4)=2, Add (0,4)=54 Failed, w=132\",\"Find(1)=2, Find(3)=2, Add (1,3)=54 Failed, w=132\",\"Find(2)=2, Find(5)=2, Add (2,5)=55 Failed, w=132\",\"Find(2)=2, Find(4)=2, Add (2,4)=59 Failed, w=132\",\"Find(4)=2, Find(5)=2, Add (4,5)=62 Failed, w=132\",\"Find(3)=2, Find(5)=2, Add (3,5)=63 Failed, w=132\",\"Find(3)=2, Find(4)=2, Add (3,4)=79 Failed, w=132\",\"Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,30],[0,4,54],[0,6,22],[1,2,96],[1,3,54],[1,4,38],[1,5,21],[1,6,6],[2,3,19],[2,4,59],[2,5,55],[2,6,26],[3,4,79],[3,5,63],[4,5,62],[5,6,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=6,(2,3)=19,(1,5)=21,(0,6)=22,(2,6)=26,(0,2)=30,(1,4)=38,(5,6)=42,(0,4)=54,(1,3)=54,(2,5)=55,(2,4)=59,(4,5)=62,(3,5)=63,(3,4)=79,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=22 Succeeded, w=68\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 4, 5: 1, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=26 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 1, 6: 1}, Find(0)=2, Find(2)=2, Add (0,2)=30 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 1}, Find(1)=2, Find(4)=4, Add (1,4)=38 Succeeded, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=42 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=54 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=54 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=55 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=59 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=62 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=63 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=79 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,50],[0,3,48],[0,5,96],[0,7,22],[1,6,37],[1,7,28],[2,3,26],[2,4,34],[2,6,65],[3,6,57],[3,7,54],[4,5,59],[4,6,22],[4,7,63],[5,6,19],[5,7,59],[6,7,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,3,48],[0,5,96],[0,7,22],[1,6,37],[1,7,28],[2,3,26],[2,4,34],[2,6,65],[3,6,57],[3,7,54],[4,5,59],[4,6,22],[4,7,63],[5,6,19],[5,7,59],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,3,48],[0,5,96],[0,7,22],[1,6,37],[1,7,28],[2,3,26],[2,4,34],[2,6,65],[3,6,57],[3,7,54],[4,5,59],[4,6,22],[4,7,63],[5,6,19],[5,7,59],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,7)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (1,7)\",\"Add (2,4)\",\"Add (1,6)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,3,48],[0,5,96],[0,7,22],[1,6,37],[1,7,28],[2,3,26],[2,4,34],[2,6,65],[3,6,57],[3,7,54],[4,5,59],[4,6,22],[4,7,63],[5,6,19],[5,7,59],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=19, w=19\",\"Add (0,7)=22, w=41\",\"Add (4,6)=22, w=63\",\"Add (2,3)=26, w=89\",\"Add (1,7)=28, w=117\",\"Add (2,4)=34, w=151\",\"Add (1,6)=37, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,3,48],[0,5,96],[0,7,22],[1,6,37],[1,7,28],[2,3,26],[2,4,34],[2,6,65],[3,6,57],[3,7,54],[4,5,59],[4,6,22],[4,7,63],[5,6,19],[5,7,59],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=19 Succeeded, w=19\",\"Add (0,7)=22 Succeeded, w=41\",\"Add (4,6)=22 Succeeded, w=63\",\"Add (2,3)=26 Succeeded, w=89\",\"Add (1,7)=28 Succeeded, w=117\",\"Add (2,4)=34 Succeeded, w=151\",\"Add (1,6)=37 Succeeded, w=188\",\"Add (0,3)=48 Failed, w=188\",\"Add (0,1)=50 Failed, w=188\",\"Add (3,7)=54 Failed, w=188\",\"Add (3,6)=57 Failed, w=188\",\"Add (4,5)=59 Failed, w=188\",\"Add (5,7)=59 Failed, w=188\",\"Add (4,7)=63 Failed, w=188\",\"Add (2,6)=65 Failed, w=188\",\"Add (6,7)=68 Failed, w=188\",\"Add (0,5)=96 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,3,48],[0,5,96],[0,7,22],[1,6,37],[1,7,28],[2,3,26],[2,4,34],[2,6,65],[3,6,57],[3,7,54],[4,5,59],[4,6,22],[4,7,63],[5,6,19],[5,7,59],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=19,(0,7)=22,(4,6)=22,(2,3)=26,(1,7)=28,(2,4)=34,(1,6)=37,(0,3)=48,(0,1)=50,(3,7)=54,(3,6)=57,(4,5)=59,(5,7)=59,(4,7)=63,(2,6)=65,(6,7)=68,(0,5)=96]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=19\",\"Find(0)=0, Find(7)=7, Add (0,7)=22 Succeeded, w=41\",\"Find(4)=4, Find(6)=5, Add (4,6)=22 Succeeded, w=63\",\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=89\",\"Find(1)=1, Find(7)=0, Add (1,7)=28 Succeeded, w=117\",\"Find(2)=2, Find(4)=5, Add (2,4)=34 Succeeded, w=151\",\"Find(1)=0, Find(6)=2, Add (1,6)=37 Succeeded, w=188\",\"Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=188\",\"Find(0)=2, Find(1)=2, Add (0,1)=50 Failed, w=188\",\"Find(3)=2, Find(7)=2, Add (3,7)=54 Failed, w=188\",\"Find(3)=2, Find(6)=2, Add (3,6)=57 Failed, w=188\",\"Find(4)=2, Find(5)=2, Add (4,5)=59 Failed, w=188\",\"Find(5)=2, Find(7)=2, Add (5,7)=59 Failed, w=188\",\"Find(4)=2, Find(7)=2, Add (4,7)=63 Failed, w=188\",\"Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=188\",\"Find(6)=2, Find(7)=2, Add (6,7)=68 Failed, w=188\",\"Find(0)=2, Find(5)=2, Add (0,5)=96 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,50],[0,3,48],[0,5,96],[0,7,22],[1,6,37],[1,7,28],[2,3,26],[2,4,34],[2,6,65],[3,6,57],[3,7,54],[4,5,59],[4,6,22],[4,7,63],[5,6,19],[5,7,59],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=19,(0,7)=22,(4,6)=22,(2,3)=26,(1,7)=28,(2,4)=34,(1,6)=37,(0,3)=48,(0,1)=50,(3,7)=54,(3,6)=57,(4,5)=59,(5,7)=59,(4,7)=63,(2,6)=65,(6,7)=68,(0,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=22 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 0}, Find(4)=4, Find(6)=5, Add (4,6)=22 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=28 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 5, 5: 2, 6: 5, 7: 0}, Find(2)=2, Find(4)=5, Add (2,4)=34 Succeeded, w=151\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 0}, Find(1)=0, Find(6)=2, Add (1,6)=37 Succeeded, w=188\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 0}, Find(0)=2, Find(3)=2, Add (0,3)=48 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 0}, Find(0)=2, Find(1)=2, Add (0,1)=50 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=54 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 5, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=57 Failed, w=188\",\"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)=59 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=59 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=63 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=65 Failed, w=188\",\"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)=68 Failed, w=188\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=96 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,2,95],[0,4,78],[0,5,100],[1,2,14],[1,5,87],[1,6,7],[2,6,3],[3,4,66],[3,5,37],[4,5,16],[5,6,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,95],[0,4,78],[0,5,100],[1,2,14],[1,5,87],[1,6,7],[2,6,3],[3,4,66],[3,5,37],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,95],[0,4,78],[0,5,100],[1,2,14],[1,5,87],[1,6,7],[2,6,3],[3,4,66],[3,5,37],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,6)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (0,4)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,95],[0,4,78],[0,5,100],[1,2,14],[1,5,87],[1,6,7],[2,6,3],[3,4,66],[3,5,37],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=3, w=3\",\"Add (1,6)=7, w=10\",\"Add (4,5)=16, w=26\",\"Add (5,6)=36, w=62\",\"Add (3,5)=37, w=99\",\"Add (0,4)=78, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,95],[0,4,78],[0,5,100],[1,2,14],[1,5,87],[1,6,7],[2,6,3],[3,4,66],[3,5,37],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=3 Succeeded, w=3\",\"Add (1,6)=7 Succeeded, w=10\",\"Add (1,2)=14 Failed, w=10\",\"Add (4,5)=16 Succeeded, w=26\",\"Add (5,6)=36 Succeeded, w=62\",\"Add (3,5)=37 Succeeded, w=99\",\"Add (3,4)=66 Failed, w=99\",\"Add (0,4)=78 Succeeded, w=177\",\"Add (0,1)=84 Failed, w=177\",\"Add (1,5)=87 Failed, w=177\",\"Add (0,2)=95 Failed, w=177\",\"Add (0,5)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,95],[0,4,78],[0,5,100],[1,2,14],[1,5,87],[1,6,7],[2,6,3],[3,4,66],[3,5,37],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=3,(1,6)=7,(1,2)=14,(4,5)=16,(5,6)=36,(3,5)=37,(3,4)=66,(0,4)=78,(0,1)=84,(1,5)=87,(0,2)=95,(0,5)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(6)=2, Add (1,6)=7 Succeeded, w=10\",\"Find(1)=2, Find(2)=2, Add (1,2)=14 Failed, w=10\",\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=26\",\"Find(5)=4, Find(6)=2, Add (5,6)=36 Succeeded, w=62\",\"Find(3)=3, Find(5)=4, Add (3,5)=37 Succeeded, w=99\",\"Find(3)=4, Find(4)=4, Add (3,4)=66 Failed, w=99\",\"Find(0)=0, Find(4)=4, Add (0,4)=78 Succeeded, w=177\",\"Find(0)=4, Find(1)=4, Add (0,1)=84 Failed, w=177\",\"Find(1)=4, Find(5)=4, Add (1,5)=87 Failed, w=177\",\"Find(0)=4, Find(2)=4, Add (0,2)=95 Failed, w=177\",\"Find(0)=4, Find(5)=4, Add (0,5)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,95],[0,4,78],[0,5,100],[1,2,14],[1,5,87],[1,6,7],[2,6,3],[3,4,66],[3,5,37],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=3,(1,6)=7,(1,2)=14,(4,5)=16,(5,6)=36,(3,5)=37,(3,4)=66,(0,4)=78,(0,1)=84,(1,5)=87,(0,2)=95,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=14 Failed, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 2, 2: 4, 3: 3, 4: 4, 5: 4, 6: 2}, Find(5)=4, Find(6)=2, Add (5,6)=36 Succeeded, w=62\",\"Parent: {0: 0, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(3)=3, Find(5)=4, Add (3,5)=37 Succeeded, w=99\",\"Parent: {0: 0, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(3)=4, Find(4)=4, Add (3,4)=66 Failed, w=99\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(4)=4, Add (0,4)=78 Succeeded, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(0)=4, Find(1)=4, Add (0,1)=84 Failed, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(1)=4, Find(5)=4, Add (1,5)=87 Failed, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(0)=4, Find(2)=4, Add (0,2)=95 Failed, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 2}, Find(0)=4, Find(5)=4, Add (0,5)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,5],[0,2,16],[0,3,13],[0,4,68],[0,5,50],[0,6,37],[0,7,22],[1,2,27],[1,3,4],[1,4,63],[1,5,96],[1,6,68],[1,7,75],[2,3,50],[2,4,55],[2,5,26],[2,6,40],[2,7,56],[3,4,14],[3,5,10],[3,6,44],[3,7,88],[4,5,40],[4,6,68],[4,7,14],[5,6,86],[5,7,41],[6,7,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,16],[0,3,13],[0,4,68],[0,5,50],[0,6,37],[0,7,22],[1,2,27],[1,3,4],[1,4,63],[1,5,96],[1,6,68],[1,7,75],[2,3,50],[2,4,55],[2,5,26],[2,6,40],[2,7,56],[3,4,14],[3,5,10],[3,6,44],[3,7,88],[4,5,40],[4,6,68],[4,7,14],[5,6,86],[5,7,41],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,16],[0,3,13],[0,4,68],[0,5,50],[0,6,37],[0,7,22],[1,2,27],[1,3,4],[1,4,63],[1,5,96],[1,6,68],[1,7,75],[2,3,50],[2,4,55],[2,5,26],[2,6,40],[2,7,56],[3,4,14],[3,5,10],[3,6,44],[3,7,88],[4,5,40],[4,6,68],[4,7,14],[5,6,86],[5,7,41],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (4,7)\",\"Add (0,2)\",\"Add (0,6)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,16],[0,3,13],[0,4,68],[0,5,50],[0,6,37],[0,7,22],[1,2,27],[1,3,4],[1,4,63],[1,5,96],[1,6,68],[1,7,75],[2,3,50],[2,4,55],[2,5,26],[2,6,40],[2,7,56],[3,4,14],[3,5,10],[3,6,44],[3,7,88],[4,5,40],[4,6,68],[4,7,14],[5,6,86],[5,7,41],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,1)=5, w=9\",\"Add (3,5)=10, w=19\",\"Add (3,4)=14, w=33\",\"Add (4,7)=14, w=47\",\"Add (0,2)=16, w=63\",\"Add (0,6)=37, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,16],[0,3,13],[0,4,68],[0,5,50],[0,6,37],[0,7,22],[1,2,27],[1,3,4],[1,4,63],[1,5,96],[1,6,68],[1,7,75],[2,3,50],[2,4,55],[2,5,26],[2,6,40],[2,7,56],[3,4,14],[3,5,10],[3,6,44],[3,7,88],[4,5,40],[4,6,68],[4,7,14],[5,6,86],[5,7,41],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,1)=5 Succeeded, w=9\",\"Add (3,5)=10 Succeeded, w=19\",\"Add (0,3)=13 Failed, w=19\",\"Add (3,4)=14 Succeeded, w=33\",\"Add (4,7)=14 Succeeded, w=47\",\"Add (0,2)=16 Succeeded, w=63\",\"Add (0,7)=22 Failed, w=63\",\"Add (2,5)=26 Failed, w=63\",\"Add (1,2)=27 Failed, w=63\",\"Add (0,6)=37 Succeeded, w=100\",\"Add (2,6)=40 Failed, w=100\",\"Add (4,5)=40 Failed, w=100\",\"Add (5,7)=41 Failed, w=100\",\"Add (3,6)=44 Failed, w=100\",\"Add (0,5)=50 Failed, w=100\",\"Add (2,3)=50 Failed, w=100\",\"Add (2,4)=55 Failed, w=100\",\"Add (2,7)=56 Failed, w=100\",\"Add (1,4)=63 Failed, w=100\",\"Add (0,4)=68 Failed, w=100\",\"Add (1,6)=68 Failed, w=100\",\"Add (4,6)=68 Failed, w=100\",\"Add (1,7)=75 Failed, w=100\",\"Add (5,6)=86 Failed, w=100\",\"Add (3,7)=88 Failed, w=100\",\"Add (6,7)=95 Failed, w=100\",\"Add (1,5)=96 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,16],[0,3,13],[0,4,68],[0,5,50],[0,6,37],[0,7,22],[1,2,27],[1,3,4],[1,4,63],[1,5,96],[1,6,68],[1,7,75],[2,3,50],[2,4,55],[2,5,26],[2,6,40],[2,7,56],[3,4,14],[3,5,10],[3,6,44],[3,7,88],[4,5,40],[4,6,68],[4,7,14],[5,6,86],[5,7,41],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=5,(3,5)=10,(0,3)=13,(3,4)=14,(4,7)=14,(0,2)=16,(0,7)=22,(2,5)=26,(1,2)=27,(0,6)=37,(2,6)=40,(4,5)=40,(5,7)=41,(3,6)=44,(0,5)=50,(2,3)=50,(2,4)=55,(2,7)=56,(1,4)=63,(0,4)=68,(1,6)=68,(4,6)=68,(1,7)=75,(5,6)=86,(3,7)=88,(6,7)=95,(1,5)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Find(3)=1, Find(5)=5, Add (3,5)=10 Succeeded, w=19\",\"Find(0)=1, Find(3)=1, Add (0,3)=13 Failed, w=19\",\"Find(3)=1, Find(4)=4, Add (3,4)=14 Succeeded, w=33\",\"Find(4)=1, Find(7)=7, Add (4,7)=14 Succeeded, w=47\",\"Find(0)=1, Find(2)=2, Add (0,2)=16 Succeeded, w=63\",\"Find(0)=1, Find(7)=1, Add (0,7)=22 Failed, w=63\",\"Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=63\",\"Find(1)=1, Find(2)=1, Add (1,2)=27 Failed, w=63\",\"Find(0)=1, Find(6)=6, Add (0,6)=37 Succeeded, w=100\",\"Find(2)=1, Find(6)=1, Add (2,6)=40 Failed, w=100\",\"Find(4)=1, Find(5)=1, Add (4,5)=40 Failed, w=100\",\"Find(5)=1, Find(7)=1, Add (5,7)=41 Failed, w=100\",\"Find(3)=1, Find(6)=1, Add (3,6)=44 Failed, w=100\",\"Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=100\",\"Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=100\",\"Find(2)=1, Find(4)=1, Add (2,4)=55 Failed, w=100\",\"Find(2)=1, Find(7)=1, Add (2,7)=56 Failed, w=100\",\"Find(1)=1, Find(4)=1, Add (1,4)=63 Failed, w=100\",\"Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=100\",\"Find(1)=1, Find(6)=1, Add (1,6)=68 Failed, w=100\",\"Find(4)=1, Find(6)=1, Add (4,6)=68 Failed, w=100\",\"Find(1)=1, Find(7)=1, Add (1,7)=75 Failed, w=100\",\"Find(5)=1, Find(6)=1, Add (5,6)=86 Failed, w=100\",\"Find(3)=1, Find(7)=1, Add (3,7)=88 Failed, w=100\",\"Find(6)=1, Find(7)=1, Add (6,7)=95 Failed, w=100\",\"Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,16],[0,3,13],[0,4,68],[0,5,50],[0,6,37],[0,7,22],[1,2,27],[1,3,4],[1,4,63],[1,5,96],[1,6,68],[1,7,75],[2,3,50],[2,4,55],[2,5,26],[2,6,40],[2,7,56],[3,4,14],[3,5,10],[3,6,44],[3,7,88],[4,5,40],[4,6,68],[4,7,14],[5,6,86],[5,7,41],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=5,(3,5)=10,(0,3)=13,(3,4)=14,(4,7)=14,(0,2)=16,(0,7)=22,(2,5)=26,(1,2)=27,(0,6)=37,(2,6)=40,(4,5)=40,(5,7)=41,(3,6)=44,(0,5)=50,(2,3)=50,(2,4)=55,(2,7)=56,(1,4)=63,(0,4)=68,(1,6)=68,(4,6)=68,(1,7)=75,(5,6)=86,(3,7)=88,(6,7)=95,(1,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(3)=1, Find(5)=5, Add (3,5)=10 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(0)=1, Find(3)=1, Add (0,3)=13 Failed, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 7}, Find(3)=1, Find(4)=4, Add (3,4)=14 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=14 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=16 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=22 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=27 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=6, Add (0,6)=37 Succeeded, w=100\",\"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)=40 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=40 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=41 Failed, w=100\",\"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)=44 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=50 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=100\",\"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)=55 Failed, w=100\",\"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)=56 Failed, w=100\",\"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)=63 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=68 Failed, w=100\",\"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)=68 Failed, w=100\",\"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)=75 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=86 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=88 Failed, w=100\",\"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)=95 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,93],[0,2,100],[0,3,84],[1,2,46],[1,3,62],[1,4,97],[2,4,60],[3,4,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,100],[0,3,84],[1,2,46],[1,3,62],[1,4,97],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,100],[0,3,84],[1,2,46],[1,3,62],[1,4,97],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,100],[0,3,84],[1,2,46],[1,3,62],[1,4,97],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=26, w=26\",\"Add (1,2)=46, w=72\",\"Add (2,4)=60, w=132\",\"Add (0,3)=84, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,100],[0,3,84],[1,2,46],[1,3,62],[1,4,97],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=26 Succeeded, w=26\",\"Add (1,2)=46 Succeeded, w=72\",\"Add (2,4)=60 Succeeded, w=132\",\"Add (1,3)=62 Failed, w=132\",\"Add (0,3)=84 Succeeded, w=216\",\"Add (0,1)=93 Failed, w=216\",\"Add (1,4)=97 Failed, w=216\",\"Add (0,2)=100 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,100],[0,3,84],[1,2,46],[1,3,62],[1,4,97],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=26,(1,2)=46,(2,4)=60,(1,3)=62,(0,3)=84,(0,1)=93,(1,4)=97,(0,2)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=72\",\"Find(2)=1, Find(4)=3, Add (2,4)=60 Succeeded, w=132\",\"Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=132\",\"Find(0)=0, Find(3)=1, Add (0,3)=84 Succeeded, w=216\",\"Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=216\",\"Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=216\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,2,100],[0,3,84],[1,2,46],[1,3,62],[1,4,97],[2,4,60],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=26,(1,2)=46,(2,4)=60,(1,3)=62,(0,3)=84,(0,1)=93,(1,4)=97,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=46 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(4)=3, Add (2,4)=60 Succeeded, w=132\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=0, Find(3)=1, Add (0,3)=84 Succeeded, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=97 Failed, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,5,8],[0,6,51],[0,7,77],[1,3,18],[1,5,76],[2,3,87],[2,4,11],[2,5,8],[3,5,49],[3,6,27],[5,6,38],[6,7,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,8],[0,6,51],[0,7,77],[1,3,18],[1,5,76],[2,3,87],[2,4,11],[2,5,8],[3,5,49],[3,6,27],[5,6,38],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,8],[0,6,51],[0,7,77],[1,3,18],[1,5,76],[2,3,87],[2,4,11],[2,5,8],[3,5,49],[3,6,27],[5,6,38],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (0,7)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,8],[0,6,51],[0,7,77],[1,3,18],[1,5,76],[2,3,87],[2,4,11],[2,5,8],[3,5,49],[3,6,27],[5,6,38],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8, w=8\",\"Add (2,5)=8, w=16\",\"Add (2,4)=11, w=27\",\"Add (1,3)=18, w=45\",\"Add (3,6)=27, w=72\",\"Add (5,6)=38, w=110\",\"Add (0,7)=77, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,8],[0,6,51],[0,7,77],[1,3,18],[1,5,76],[2,3,87],[2,4,11],[2,5,8],[3,5,49],[3,6,27],[5,6,38],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8 Succeeded, w=8\",\"Add (2,5)=8 Succeeded, w=16\",\"Add (2,4)=11 Succeeded, w=27\",\"Add (1,3)=18 Succeeded, w=45\",\"Add (3,6)=27 Succeeded, w=72\",\"Add (5,6)=38 Succeeded, w=110\",\"Add (3,5)=49 Failed, w=110\",\"Add (0,6)=51 Failed, w=110\",\"Add (1,5)=76 Failed, w=110\",\"Add (0,7)=77 Succeeded, w=187\",\"Add (2,3)=87 Failed, w=187\",\"Add (6,7)=91 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,8],[0,6,51],[0,7,77],[1,3,18],[1,5,76],[2,3,87],[2,4,11],[2,5,8],[3,5,49],[3,6,27],[5,6,38],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(2,5)=8,(2,4)=11,(1,3)=18,(3,6)=27,(5,6)=38,(3,5)=49,(0,6)=51,(1,5)=76,(0,7)=77,(2,3)=87,(6,7)=91]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(2)=2, Find(5)=0, Add (2,5)=8 Succeeded, w=16\",\"Find(2)=0, Find(4)=4, Add (2,4)=11 Succeeded, w=27\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=45\",\"Find(3)=1, Find(6)=6, Add (3,6)=27 Succeeded, w=72\",\"Find(5)=0, Find(6)=1, Add (5,6)=38 Succeeded, w=110\",\"Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=110\",\"Find(0)=0, Find(6)=0, Add (0,6)=51 Failed, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=110\",\"Find(0)=0, Find(7)=7, Add (0,7)=77 Succeeded, w=187\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=187\",\"Find(6)=0, Find(7)=0, Add (6,7)=91 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,8],[0,6,51],[0,7,77],[1,3,18],[1,5,76],[2,3,87],[2,4,11],[2,5,8],[3,5,49],[3,6,27],[5,6,38],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(2,5)=8,(2,4)=11,(1,3)=18,(3,6)=27,(5,6)=38,(3,5)=49,(0,6)=51,(1,5)=76,(0,7)=77,(2,3)=87,(6,7)=91]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=2, Find(5)=0, Add (2,5)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(4)=4, Add (2,4)=11 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 1, 7: 7}, Find(3)=1, Find(6)=6, Add (3,6)=27 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 1, 7: 7}, Find(5)=0, Find(6)=1, Add (5,6)=38 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 7}, Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(6)=0, Add (0,6)=51 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=77 Succeeded, w=187\",\"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)=87 Failed, w=187\",\"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)=91 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,98],[0,3,67],[0,7,95],[1,4,43],[1,5,31],[1,7,2],[2,5,68],[2,6,50],[3,5,22],[3,7,90],[4,5,83],[4,7,6],[6,7,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,67],[0,7,95],[1,4,43],[1,5,31],[1,7,2],[2,5,68],[2,6,50],[3,5,22],[3,7,90],[4,5,83],[4,7,6],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,67],[0,7,95],[1,4,43],[1,5,31],[1,7,2],[2,5,68],[2,6,50],[3,5,22],[3,7,90],[4,5,83],[4,7,6],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (4,7)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (2,5)\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,67],[0,7,95],[1,4,43],[1,5,31],[1,7,2],[2,5,68],[2,6,50],[3,5,22],[3,7,90],[4,5,83],[4,7,6],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2, w=2\",\"Add (4,7)=6, w=8\",\"Add (3,5)=22, w=30\",\"Add (1,5)=31, w=61\",\"Add (2,6)=50, w=111\",\"Add (0,3)=67, w=178\",\"Add (2,5)=68, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,67],[0,7,95],[1,4,43],[1,5,31],[1,7,2],[2,5,68],[2,6,50],[3,5,22],[3,7,90],[4,5,83],[4,7,6],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2 Succeeded, w=2\",\"Add (4,7)=6 Succeeded, w=8\",\"Add (3,5)=22 Succeeded, w=30\",\"Add (1,5)=31 Succeeded, w=61\",\"Add (1,4)=43 Failed, w=61\",\"Add (2,6)=50 Succeeded, w=111\",\"Add (0,3)=67 Succeeded, w=178\",\"Add (2,5)=68 Succeeded, w=246\",\"Add (4,5)=83 Failed, w=246\",\"Add (3,7)=90 Failed, w=246\",\"Add (6,7)=90 Failed, w=246\",\"Add (0,7)=95 Failed, w=246\",\"Add (0,1)=98 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,67],[0,7,95],[1,4,43],[1,5,31],[1,7,2],[2,5,68],[2,6,50],[3,5,22],[3,7,90],[4,5,83],[4,7,6],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(4,7)=6,(3,5)=22,(1,5)=31,(1,4)=43,(2,6)=50,(0,3)=67,(2,5)=68,(4,5)=83,(3,7)=90,(6,7)=90,(0,7)=95,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Find(4)=4, Find(7)=1, Add (4,7)=6 Succeeded, w=8\",\"Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=30\",\"Find(1)=1, Find(5)=3, Add (1,5)=31 Succeeded, w=61\",\"Find(1)=1, Find(4)=1, Add (1,4)=43 Failed, w=61\",\"Find(2)=2, Find(6)=6, Add (2,6)=50 Succeeded, w=111\",\"Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=178\",\"Find(2)=2, Find(5)=1, Add (2,5)=68 Succeeded, w=246\",\"Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=246\",\"Find(3)=1, Find(7)=1, Add (3,7)=90 Failed, w=246\",\"Find(6)=1, Find(7)=1, Add (6,7)=90 Failed, w=246\",\"Find(0)=1, Find(7)=1, Add (0,7)=95 Failed, w=246\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,98],[0,3,67],[0,7,95],[1,4,43],[1,5,31],[1,7,2],[2,5,68],[2,6,50],[3,5,22],[3,7,90],[4,5,83],[4,7,6],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(4,7)=6,(3,5)=22,(1,5)=31,(1,4)=43,(2,6)=50,(0,3)=67,(2,5)=68,(4,5)=83,(3,7)=90,(6,7)=90,(0,7)=95,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6, 7: 1}, Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 6, 7: 1}, Find(1)=1, Find(5)=3, Add (1,5)=31 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 6, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=43 Failed, w=61\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 2, 7: 1}, Find(2)=2, Find(6)=6, Add (2,6)=50 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 2, 7: 1}, Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(2)=2, Find(5)=1, Add (2,5)=68 Succeeded, w=246\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=246\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=90 Failed, w=246\",\"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)=90 Failed, w=246\",\"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)=95 Failed, w=246\",\"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)=98 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,2,15],[0,4,72],[1,2,27],[2,3,39],[2,4,17],[3,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,15],[0,4,72],[1,2,27],[2,3,39],[2,4,17],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,15],[0,4,72],[1,2,27],[2,3,39],[2,4,17],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,15],[0,4,72],[1,2,27],[2,3,39],[2,4,17],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (0,2)=15, w=18\",\"Add (2,4)=17, w=35\",\"Add (1,2)=27, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,15],[0,4,72],[1,2,27],[2,3,39],[2,4,17],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (0,2)=15 Succeeded, w=18\",\"Add (2,4)=17 Succeeded, w=35\",\"Add (1,2)=27 Succeeded, w=62\",\"Add (2,3)=39 Failed, w=62\",\"Add (0,4)=72 Failed, w=62\",\"Add (0,1)=78 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,15],[0,4,72],[1,2,27],[2,3,39],[2,4,17],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,2)=15,(2,4)=17,(1,2)=27,(2,3)=39,(0,4)=72,(0,1)=78]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=18\",\"Find(2)=0, Find(4)=3, Add (2,4)=17 Succeeded, w=35\",\"Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=62\",\"Find(2)=0, Find(3)=0, Add (2,3)=39 Failed, w=62\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=62\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,15],[0,4,72],[1,2,27],[2,3,39],[2,4,17],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,2)=15,(2,4)=17,(1,2)=27,(2,3)=39,(0,4)=72,(0,1)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=17 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=39 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,79],[0,2,88],[0,3,47],[0,4,58],[1,2,65],[1,3,77],[1,4,88],[2,3,53],[2,4,1],[2,5,51],[3,4,79],[3,5,63],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,88],[0,3,47],[0,4,58],[1,2,65],[1,3,77],[1,4,88],[2,3,53],[2,4,1],[2,5,51],[3,4,79],[3,5,63],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,88],[0,3,47],[0,4,58],[1,2,65],[1,3,77],[1,4,88],[2,3,53],[2,4,1],[2,5,51],[3,4,79],[3,5,63],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,88],[0,3,47],[0,4,58],[1,2,65],[1,3,77],[1,4,88],[2,3,53],[2,4,1],[2,5,51],[3,4,79],[3,5,63],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (4,5)=8, w=9\",\"Add (0,3)=47, w=56\",\"Add (2,3)=53, w=109\",\"Add (1,2)=65, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,88],[0,3,47],[0,4,58],[1,2,65],[1,3,77],[1,4,88],[2,3,53],[2,4,1],[2,5,51],[3,4,79],[3,5,63],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (4,5)=8 Succeeded, w=9\",\"Add (0,3)=47 Succeeded, w=56\",\"Add (2,5)=51 Failed, w=56\",\"Add (2,3)=53 Succeeded, w=109\",\"Add (0,4)=58 Failed, w=109\",\"Add (3,5)=63 Failed, w=109\",\"Add (1,2)=65 Succeeded, w=174\",\"Add (1,3)=77 Failed, w=174\",\"Add (0,1)=79 Failed, w=174\",\"Add (3,4)=79 Failed, w=174\",\"Add (0,2)=88 Failed, w=174\",\"Add (1,4)=88 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,88],[0,3,47],[0,4,58],[1,2,65],[1,3,77],[1,4,88],[2,3,53],[2,4,1],[2,5,51],[3,4,79],[3,5,63],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=8,(0,3)=47,(2,5)=51,(2,3)=53,(0,4)=58,(3,5)=63,(1,2)=65,(1,3)=77,(0,1)=79,(3,4)=79,(0,2)=88,(1,4)=88]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(4)=2, Find(5)=5, Add (4,5)=8 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=56\",\"Find(2)=2, Find(5)=2, Add (2,5)=51 Failed, w=56\",\"Find(2)=2, Find(3)=0, Add (2,3)=53 Succeeded, w=109\",\"Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=109\",\"Find(3)=2, Find(5)=2, Add (3,5)=63 Failed, w=109\",\"Find(1)=1, Find(2)=2, Add (1,2)=65 Succeeded, w=174\",\"Find(1)=2, Find(3)=2, Add (1,3)=77 Failed, w=174\",\"Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=174\",\"Find(3)=2, Find(4)=2, Add (3,4)=79 Failed, w=174\",\"Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=174\",\"Find(1)=2, Find(4)=2, Add (1,4)=88 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,79],[0,2,88],[0,3,47],[0,4,58],[1,2,65],[1,3,77],[1,4,88],[2,3,53],[2,4,1],[2,5,51],[3,4,79],[3,5,63],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(4,5)=8,(0,3)=47,(2,5)=51,(2,3)=53,(0,4)=58,(3,5)=63,(1,2)=65,(1,3)=77,(0,1)=79,(3,4)=79,(0,2)=88,(1,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=51 Failed, w=56\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(2)=2, Find(3)=0, Add (2,3)=53 Succeeded, w=109\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=109\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=63 Failed, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=65 Succeeded, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=77 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=79 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=88 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,2,70],[0,4,61],[0,5,41],[1,3,99],[1,4,81],[1,6,5],[2,3,88],[2,5,3],[2,6,62],[2,7,84],[3,6,65],[3,7,82],[4,6,65],[4,7,87],[5,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,2,70],[0,4,61],[0,5,41],[1,3,99],[1,4,81],[1,6,5],[2,3,88],[2,5,3],[2,6,62],[2,7,84],[3,6,65],[3,7,82],[4,6,65],[4,7,87],[5,7,22]]}",
"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\":[[0,1,26],[0,2,70],[0,4,61],[0,5,41],[1,3,99],[1,4,81],[1,6,5],[2,3,88],[2,5,3],[2,6,62],[2,7,84],[3,6,65],[3,7,82],[4,6,65],[4,7,87],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,6)\",\"Add (5,7)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (3,6)\"],\"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\":[[0,1,26],[0,2,70],[0,4,61],[0,5,41],[1,3,99],[1,4,81],[1,6,5],[2,3,88],[2,5,3],[2,6,62],[2,7,84],[3,6,65],[3,7,82],[4,6,65],[4,7,87],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (1,6)=5, w=8\",\"Add (5,7)=22, w=30\",\"Add (0,1)=26, w=56\",\"Add (0,5)=41, w=97\",\"Add (0,4)=61, w=158\",\"Add (3,6)=65, 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\":[[0,1,26],[0,2,70],[0,4,61],[0,5,41],[1,3,99],[1,4,81],[1,6,5],[2,3,88],[2,5,3],[2,6,62],[2,7,84],[3,6,65],[3,7,82],[4,6,65],[4,7,87],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (1,6)=5 Succeeded, w=8\",\"Add (5,7)=22 Succeeded, w=30\",\"Add (0,1)=26 Succeeded, w=56\",\"Add (0,5)=41 Succeeded, w=97\",\"Add (0,4)=61 Succeeded, w=158\",\"Add (2,6)=62 Failed, w=158\",\"Add (3,6)=65 Succeeded, w=223\",\"Add (4,6)=65 Failed, w=223\",\"Add (0,2)=70 Failed, w=223\",\"Add (1,4)=81 Failed, w=223\",\"Add (3,7)=82 Failed, w=223\",\"Add (2,7)=84 Failed, w=223\",\"Add (4,7)=87 Failed, w=223\",\"Add (2,3)=88 Failed, w=223\",\"Add (1,3)=99 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\":[[0,1,26],[0,2,70],[0,4,61],[0,5,41],[1,3,99],[1,4,81],[1,6,5],[2,3,88],[2,5,3],[2,6,62],[2,7,84],[3,6,65],[3,7,82],[4,6,65],[4,7,87],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(1,6)=5,(5,7)=22,(0,1)=26,(0,5)=41,(0,4)=61,(2,6)=62,(3,6)=65,(4,6)=65,(0,2)=70,(1,4)=81,(3,7)=82,(2,7)=84,(4,7)=87,(2,3)=88,(1,3)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=8\",\"Find(5)=2, Find(7)=7, Add (5,7)=22 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=56\",\"Find(0)=1, Find(5)=2, Add (0,5)=41 Succeeded, w=97\",\"Find(0)=1, Find(4)=4, Add (0,4)=61 Succeeded, w=158\",\"Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=158\",\"Find(3)=3, Find(6)=1, Add (3,6)=65 Succeeded, w=223\",\"Find(4)=1, Find(6)=1, Add (4,6)=65 Failed, w=223\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=223\",\"Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=223\",\"Find(3)=1, Find(7)=1, Add (3,7)=82 Failed, w=223\",\"Find(2)=1, Find(7)=1, Add (2,7)=84 Failed, w=223\",\"Find(4)=1, Find(7)=1, Add (4,7)=87 Failed, w=223\",\"Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=223\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 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\":[[0,1,26],[0,2,70],[0,4,61],[0,5,41],[1,3,99],[1,4,81],[1,6,5],[2,3,88],[2,5,3],[2,6,62],[2,7,84],[3,6,65],[3,7,82],[4,6,65],[4,7,87],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(1,6)=5,(5,7)=22,(0,1)=26,(0,5)=41,(0,4)=61,(2,6)=62,(3,6)=65,(4,6)=65,(0,2)=70,(1,4)=81,(3,7)=82,(2,7)=84,(4,7)=87,(2,3)=88,(1,3)=99]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 2}, Find(5)=2, Find(7)=7, Add (5,7)=22 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 2, 6: 1, 7: 2}, Find(0)=1, Find(5)=2, Add (0,5)=41 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 1, 7: 2}, Find(0)=1, Find(4)=4, Add (0,4)=61 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 1, 7: 2}, Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 2}, Find(3)=3, Find(6)=1, Add (3,6)=65 Succeeded, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 2}, Find(4)=1, Find(6)=1, Add (4,6)=65 Failed, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 2}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=82 Failed, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=84 Failed, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=87 Failed, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=223\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,20],[0,3,64],[1,2,12],[1,3,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,3,64],[1,2,12],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,3,64],[1,2,12],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,3,64],[1,2,12],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (1,3)=18, w=30\",\"Add (0,1)=20, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,3,64],[1,2,12],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (1,3)=18 Succeeded, w=30\",\"Add (0,1)=20 Succeeded, w=50\",\"Add (0,3)=64 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,3,64],[1,2,12],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(1,3)=18,(0,1)=20,(0,3)=64]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=50\",\"Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,3,64],[1,2,12],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(1,3)=18,(0,1)=20,(0,3)=64]\",\"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: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,65],[0,2,78],[0,3,89],[1,2,51],[1,3,90],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,78],[0,3,89],[1,2,51],[1,3,90],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,78],[0,3,89],[1,2,51],[1,3,90],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,78],[0,3,89],[1,2,51],[1,3,90],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21, w=21\",\"Add (1,2)=51, w=72\",\"Add (0,1)=65, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,78],[0,3,89],[1,2,51],[1,3,90],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21 Succeeded, w=21\",\"Add (1,2)=51 Succeeded, w=72\",\"Add (0,1)=65 Succeeded, w=137\",\"Add (0,2)=78 Failed, w=137\",\"Add (0,3)=89 Failed, w=137\",\"Add (1,3)=90 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,78],[0,3,89],[1,2,51],[1,3,90],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(1,2)=51,(0,1)=65,(0,2)=78,(0,3)=89,(1,3)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=72\",\"Find(0)=0, Find(1)=2, Add (0,1)=65 Succeeded, w=137\",\"Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=137\",\"Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=137\",\"Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,78],[0,3,89],[1,2,51],[1,3,90],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(1,2)=51,(0,1)=65,(0,2)=78,(0,3)=89,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=65 Succeeded, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=78 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,45],[0,2,83],[0,3,35],[0,4,25],[0,5,21],[0,6,23],[1,4,72],[1,5,87],[1,6,31],[2,3,90],[2,4,61],[2,5,60],[2,6,91],[3,4,19],[3,6,76],[4,5,20],[4,6,48],[5,6,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,83],[0,3,35],[0,4,25],[0,5,21],[0,6,23],[1,4,72],[1,5,87],[1,6,31],[2,3,90],[2,4,61],[2,5,60],[2,6,91],[3,4,19],[3,6,76],[4,5,20],[4,6,48],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,83],[0,3,35],[0,4,25],[0,5,21],[0,6,23],[1,4,72],[1,5,87],[1,6,31],[2,3,90],[2,4,61],[2,5,60],[2,6,91],[3,4,19],[3,6,76],[4,5,20],[4,6,48],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (0,6)\",\"Add (1,6)\",\"Add (2,5)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,83],[0,3,35],[0,4,25],[0,5,21],[0,6,23],[1,4,72],[1,5,87],[1,6,31],[2,3,90],[2,4,61],[2,5,60],[2,6,91],[3,4,19],[3,6,76],[4,5,20],[4,6,48],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=19, w=19\",\"Add (4,5)=20, w=39\",\"Add (0,5)=21, w=60\",\"Add (0,6)=23, w=83\",\"Add (1,6)=31, w=114\",\"Add (2,5)=60, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,83],[0,3,35],[0,4,25],[0,5,21],[0,6,23],[1,4,72],[1,5,87],[1,6,31],[2,3,90],[2,4,61],[2,5,60],[2,6,91],[3,4,19],[3,6,76],[4,5,20],[4,6,48],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=19 Succeeded, w=19\",\"Add (4,5)=20 Succeeded, w=39\",\"Add (0,5)=21 Succeeded, w=60\",\"Add (0,6)=23 Succeeded, w=83\",\"Add (0,4)=25 Failed, w=83\",\"Add (1,6)=31 Succeeded, w=114\",\"Add (0,3)=35 Failed, w=114\",\"Add (0,1)=45 Failed, w=114\",\"Add (4,6)=48 Failed, w=114\",\"Add (2,5)=60 Succeeded, w=174\",\"Add (2,4)=61 Failed, w=174\",\"Add (5,6)=66 Failed, w=174\",\"Add (1,4)=72 Failed, w=174\",\"Add (3,6)=76 Failed, w=174\",\"Add (0,2)=83 Failed, w=174\",\"Add (1,5)=87 Failed, w=174\",\"Add (2,3)=90 Failed, w=174\",\"Add (2,6)=91 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,83],[0,3,35],[0,4,25],[0,5,21],[0,6,23],[1,4,72],[1,5,87],[1,6,31],[2,3,90],[2,4,61],[2,5,60],[2,6,91],[3,4,19],[3,6,76],[4,5,20],[4,6,48],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=19,(4,5)=20,(0,5)=21,(0,6)=23,(0,4)=25,(1,6)=31,(0,3)=35,(0,1)=45,(4,6)=48,(2,5)=60,(2,4)=61,(5,6)=66,(1,4)=72,(3,6)=76,(0,2)=83,(1,5)=87,(2,3)=90,(2,6)=91]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=19\",\"Find(4)=3, Find(5)=5, Add (4,5)=20 Succeeded, w=39\",\"Find(0)=0, Find(5)=3, Add (0,5)=21 Succeeded, w=60\",\"Find(0)=3, Find(6)=6, Add (0,6)=23 Succeeded, w=83\",\"Find(0)=3, Find(4)=3, Add (0,4)=25 Failed, w=83\",\"Find(1)=1, Find(6)=3, Add (1,6)=31 Succeeded, w=114\",\"Find(0)=3, Find(3)=3, Add (0,3)=35 Failed, w=114\",\"Find(0)=3, Find(1)=3, Add (0,1)=45 Failed, w=114\",\"Find(4)=3, Find(6)=3, Add (4,6)=48 Failed, w=114\",\"Find(2)=2, Find(5)=3, Add (2,5)=60 Succeeded, w=174\",\"Find(2)=3, Find(4)=3, Add (2,4)=61 Failed, w=174\",\"Find(5)=3, Find(6)=3, Add (5,6)=66 Failed, w=174\",\"Find(1)=3, Find(4)=3, Add (1,4)=72 Failed, w=174\",\"Find(3)=3, Find(6)=3, Add (3,6)=76 Failed, w=174\",\"Find(0)=3, Find(2)=3, Add (0,2)=83 Failed, w=174\",\"Find(1)=3, Find(5)=3, Add (1,5)=87 Failed, w=174\",\"Find(2)=3, Find(3)=3, Add (2,3)=90 Failed, w=174\",\"Find(2)=3, Find(6)=3, Add (2,6)=91 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,45],[0,2,83],[0,3,35],[0,4,25],[0,5,21],[0,6,23],[1,4,72],[1,5,87],[1,6,31],[2,3,90],[2,4,61],[2,5,60],[2,6,91],[3,4,19],[3,6,76],[4,5,20],[4,6,48],[5,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=19,(4,5)=20,(0,5)=21,(0,6)=23,(0,4)=25,(1,6)=31,(0,3)=35,(0,1)=45,(4,6)=48,(2,5)=60,(2,4)=61,(5,6)=66,(1,4)=72,(3,6)=76,(0,2)=83,(1,5)=87,(2,3)=90,(2,6)=91]\",\"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)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=5, Add (4,5)=20 Succeeded, w=39\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=0, Find(5)=3, Add (0,5)=21 Succeeded, w=60\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=6, Add (0,6)=23 Succeeded, w=83\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=25 Failed, w=83\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=31 Succeeded, w=114\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=35 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=45 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=48 Failed, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=2, Find(5)=3, Add (2,5)=60 Succeeded, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=61 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=66 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=72 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=76 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=83 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=87 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=90 Failed, w=174\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=91 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,2,96],[0,3,87],[0,4,47],[0,5,76],[0,6,25],[1,2,24],[1,3,65],[1,4,48],[1,5,32],[1,6,58],[2,3,16],[2,4,98],[2,5,38],[2,6,26],[3,4,23],[3,5,35],[3,6,57],[4,5,80],[4,6,32],[5,6,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,96],[0,3,87],[0,4,47],[0,5,76],[0,6,25],[1,2,24],[1,3,65],[1,4,48],[1,5,32],[1,6,58],[2,3,16],[2,4,98],[2,5,38],[2,6,26],[3,4,23],[3,5,35],[3,6,57],[4,5,80],[4,6,32],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"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],[0,2,96],[0,3,87],[0,4,47],[0,5,76],[0,6,25],[1,2,24],[1,3,65],[1,4,48],[1,5,32],[1,6,58],[2,3,16],[2,4,98],[2,5,38],[2,6,26],[3,4,23],[3,5,35],[3,6,57],[4,5,80],[4,6,32],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,6)\"],\"Answer\":113}",
"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],[0,2,96],[0,3,87],[0,4,47],[0,5,76],[0,6,25],[1,2,24],[1,3,65],[1,4,48],[1,5,32],[1,6,58],[2,3,16],[2,4,98],[2,5,38],[2,6,26],[3,4,23],[3,5,35],[3,6,57],[4,5,80],[4,6,32],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4, w=4\",\"Add (2,3)=16, w=20\",\"Add (0,1)=21, w=41\",\"Add (3,4)=23, w=64\",\"Add (1,2)=24, w=88\",\"Add (0,6)=25, w=113\"],\"Answer\":113}",
"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],[0,2,96],[0,3,87],[0,4,47],[0,5,76],[0,6,25],[1,2,24],[1,3,65],[1,4,48],[1,5,32],[1,6,58],[2,3,16],[2,4,98],[2,5,38],[2,6,26],[3,4,23],[3,5,35],[3,6,57],[4,5,80],[4,6,32],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4 Succeeded, w=4\",\"Add (2,3)=16 Succeeded, w=20\",\"Add (0,1)=21 Succeeded, w=41\",\"Add (3,4)=23 Succeeded, w=64\",\"Add (1,2)=24 Succeeded, w=88\",\"Add (0,6)=25 Succeeded, w=113\",\"Add (2,6)=26 Failed, w=113\",\"Add (1,5)=32 Failed, w=113\",\"Add (4,6)=32 Failed, w=113\",\"Add (3,5)=35 Failed, w=113\",\"Add (2,5)=38 Failed, w=113\",\"Add (0,4)=47 Failed, w=113\",\"Add (1,4)=48 Failed, w=113\",\"Add (3,6)=57 Failed, w=113\",\"Add (1,6)=58 Failed, w=113\",\"Add (1,3)=65 Failed, w=113\",\"Add (0,5)=76 Failed, w=113\",\"Add (4,5)=80 Failed, w=113\",\"Add (0,3)=87 Failed, w=113\",\"Add (0,2)=96 Failed, w=113\",\"Add (2,4)=98 Failed, w=113\"],\"Answer\":113}",
"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],[0,2,96],[0,3,87],[0,4,47],[0,5,76],[0,6,25],[1,2,24],[1,3,65],[1,4,48],[1,5,32],[1,6,58],[2,3,16],[2,4,98],[2,5,38],[2,6,26],[3,4,23],[3,5,35],[3,6,57],[4,5,80],[4,6,32],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(2,3)=16,(0,1)=21,(3,4)=23,(1,2)=24,(0,6)=25,(2,6)=26,(1,5)=32,(4,6)=32,(3,5)=35,(2,5)=38,(0,4)=47,(1,4)=48,(3,6)=57,(1,6)=58,(1,3)=65,(0,5)=76,(4,5)=80,(0,3)=87,(0,2)=96,(2,4)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=20\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=41\",\"Find(3)=2, Find(4)=4, Add (3,4)=23 Succeeded, w=64\",\"Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=88\",\"Find(0)=0, Find(6)=5, Add (0,6)=25 Succeeded, w=113\",\"Find(2)=0, Find(6)=0, Add (2,6)=26 Failed, w=113\",\"Find(1)=0, Find(5)=0, Add (1,5)=32 Failed, w=113\",\"Find(4)=0, Find(6)=0, Add (4,6)=32 Failed, w=113\",\"Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=113\",\"Find(2)=0, Find(5)=0, Add (2,5)=38 Failed, w=113\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=113\",\"Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=113\",\"Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=113\",\"Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=113\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=113\",\"Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=113\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=113\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=113\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=113\"],\"Answer\":113}",
"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],[0,2,96],[0,3,87],[0,4,47],[0,5,76],[0,6,25],[1,2,24],[1,3,65],[1,4,48],[1,5,32],[1,6,58],[2,3,16],[2,4,98],[2,5,38],[2,6,26],[3,4,23],[3,5,35],[3,6,57],[4,5,80],[4,6,32],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(2,3)=16,(0,1)=21,(3,4)=23,(1,2)=24,(0,6)=25,(2,6)=26,(1,5)=32,(4,6)=32,(3,5)=35,(2,5)=38,(0,4)=47,(1,4)=48,(3,6)=57,(1,6)=58,(1,3)=65,(0,5)=76,(4,5)=80,(0,3)=87,(0,2)=96,(2,4)=98]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5}, Find(3)=2, Find(4)=4, Add (3,4)=23 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 5, 6: 5}, Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=25 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=26 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=32 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=32 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=35 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=38 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=58 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,98],[0,2,81],[0,3,3],[0,4,96],[1,2,55],[1,3,92],[1,4,14],[2,3,91],[2,4,40],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,81],[0,3,3],[0,4,96],[1,2,55],[1,3,92],[1,4,14],[2,3,91],[2,4,40],[3,4,34]]}",
"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\":[[0,1,98],[0,2,81],[0,3,3],[0,4,96],[1,2,55],[1,3,92],[1,4,14],[2,3,91],[2,4,40],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,81],[0,3,3],[0,4,96],[1,2,55],[1,3,92],[1,4,14],[2,3,91],[2,4,40],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (1,4)=14, w=17\",\"Add (3,4)=34, w=51\",\"Add (2,4)=40, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,81],[0,3,3],[0,4,96],[1,2,55],[1,3,92],[1,4,14],[2,3,91],[2,4,40],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,4)=14 Succeeded, w=17\",\"Add (3,4)=34 Succeeded, w=51\",\"Add (2,4)=40 Succeeded, w=91\",\"Add (1,2)=55 Failed, w=91\",\"Add (0,2)=81 Failed, w=91\",\"Add (2,3)=91 Failed, w=91\",\"Add (1,3)=92 Failed, w=91\",\"Add (0,4)=96 Failed, w=91\",\"Add (0,1)=98 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\":[[0,1,98],[0,2,81],[0,3,3],[0,4,96],[1,2,55],[1,3,92],[1,4,14],[2,3,91],[2,4,40],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,4)=14,(3,4)=34,(2,4)=40,(1,2)=55,(0,2)=81,(2,3)=91,(1,3)=92,(0,4)=96,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=17\",\"Find(3)=0, Find(4)=1, Add (3,4)=34 Succeeded, w=51\",\"Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=91\",\"Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=91\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=91\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=91\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=91\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 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\":[[0,1,98],[0,2,81],[0,3,3],[0,4,96],[1,2,55],[1,3,92],[1,4,14],[2,3,91],[2,4,40],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,4)=14,(3,4)=34,(2,4)=40,(1,2)=55,(0,2)=81,(2,3)=91,(1,3)=92,(0,4)=96,(0,1)=98]\",\"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: 1}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1}, Find(3)=0, Find(4)=1, Add (3,4)=34 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,49],[0,3,87],[0,4,5],[0,7,88],[1,2,23],[1,3,70],[1,5,52],[1,6,45],[2,4,41],[2,6,29],[2,7,4],[3,4,34],[3,5,37],[3,6,89],[4,6,57],[5,7,46],[6,7,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,3,87],[0,4,5],[0,7,88],[1,2,23],[1,3,70],[1,5,52],[1,6,45],[2,4,41],[2,6,29],[2,7,4],[3,4,34],[3,5,37],[3,6,89],[4,6,57],[5,7,46],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,3,87],[0,4,5],[0,7,88],[1,2,23],[1,3,70],[1,5,52],[1,6,45],[2,4,41],[2,6,29],[2,7,4],[3,4,34],[3,5,37],[3,6,89],[4,6,57],[5,7,46],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (6,7)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (2,4)\"],\"Answer\":172}",
"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],[0,3,87],[0,4,5],[0,7,88],[1,2,23],[1,3,70],[1,5,52],[1,6,45],[2,4,41],[2,6,29],[2,7,4],[3,4,34],[3,5,37],[3,6,89],[4,6,57],[5,7,46],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=4, w=4\",\"Add (0,4)=5, w=9\",\"Add (1,2)=23, w=32\",\"Add (6,7)=28, w=60\",\"Add (3,4)=34, w=94\",\"Add (3,5)=37, w=131\",\"Add (2,4)=41, w=172\"],\"Answer\":172}",
"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],[0,3,87],[0,4,5],[0,7,88],[1,2,23],[1,3,70],[1,5,52],[1,6,45],[2,4,41],[2,6,29],[2,7,4],[3,4,34],[3,5,37],[3,6,89],[4,6,57],[5,7,46],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=4 Succeeded, w=4\",\"Add (0,4)=5 Succeeded, w=9\",\"Add (1,2)=23 Succeeded, w=32\",\"Add (6,7)=28 Succeeded, w=60\",\"Add (2,6)=29 Failed, w=60\",\"Add (3,4)=34 Succeeded, w=94\",\"Add (3,5)=37 Succeeded, w=131\",\"Add (2,4)=41 Succeeded, w=172\",\"Add (1,6)=45 Failed, w=172\",\"Add (5,7)=46 Failed, w=172\",\"Add (0,1)=49 Failed, w=172\",\"Add (1,5)=52 Failed, w=172\",\"Add (4,6)=57 Failed, w=172\",\"Add (1,3)=70 Failed, w=172\",\"Add (0,3)=87 Failed, w=172\",\"Add (0,7)=88 Failed, w=172\",\"Add (3,6)=89 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,3,87],[0,4,5],[0,7,88],[1,2,23],[1,3,70],[1,5,52],[1,6,45],[2,4,41],[2,6,29],[2,7,4],[3,4,34],[3,5,37],[3,6,89],[4,6,57],[5,7,46],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=4,(0,4)=5,(1,2)=23,(6,7)=28,(2,6)=29,(3,4)=34,(3,5)=37,(2,4)=41,(1,6)=45,(5,7)=46,(0,1)=49,(1,5)=52,(4,6)=57,(1,3)=70,(0,3)=87,(0,7)=88,(3,6)=89]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=32\",\"Find(6)=6, Find(7)=2, Add (6,7)=28 Succeeded, w=60\",\"Find(2)=2, Find(6)=2, Add (2,6)=29 Failed, w=60\",\"Find(3)=3, Find(4)=0, Add (3,4)=34 Succeeded, w=94\",\"Find(3)=0, Find(5)=5, Add (3,5)=37 Succeeded, w=131\",\"Find(2)=2, Find(4)=0, Add (2,4)=41 Succeeded, w=172\",\"Find(1)=2, Find(6)=2, Add (1,6)=45 Failed, w=172\",\"Find(5)=2, Find(7)=2, Add (5,7)=46 Failed, w=172\",\"Find(0)=2, Find(1)=2, Add (0,1)=49 Failed, w=172\",\"Find(1)=2, Find(5)=2, Add (1,5)=52 Failed, w=172\",\"Find(4)=2, Find(6)=2, Add (4,6)=57 Failed, w=172\",\"Find(1)=2, Find(3)=2, Add (1,3)=70 Failed, w=172\",\"Find(0)=2, Find(3)=2, Add (0,3)=87 Failed, w=172\",\"Find(0)=2, Find(7)=2, Add (0,7)=88 Failed, w=172\",\"Find(3)=2, Find(6)=2, Add (3,6)=89 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,3,87],[0,4,5],[0,7,88],[1,2,23],[1,3,70],[1,5,52],[1,6,45],[2,4,41],[2,6,29],[2,7,4],[3,4,34],[3,5,37],[3,6,89],[4,6,57],[5,7,46],[6,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=4,(0,4)=5,(1,2)=23,(6,7)=28,(2,6)=29,(3,4)=34,(3,5)=37,(2,4)=41,(1,6)=45,(5,7)=46,(0,1)=49,(1,5)=52,(4,6)=57,(1,3)=70,(0,3)=87,(0,7)=88,(3,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 2}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=28 Succeeded, w=60\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=29 Failed, w=60\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 0, 5: 5, 6: 2, 7: 2}, Find(3)=3, Find(4)=0, Add (3,4)=34 Succeeded, w=94\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(3)=0, Find(5)=5, Add (3,5)=37 Succeeded, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(4)=0, Add (2,4)=41 Succeeded, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=45 Failed, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=46 Failed, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=49 Failed, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=52 Failed, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=57 Failed, w=172\",\"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)=70 Failed, w=172\",\"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)=87 Failed, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=88 Failed, w=172\",\"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)=89 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,93],[0,3,60],[0,4,41],[1,2,5],[1,3,28],[1,4,71],[2,3,17],[2,4,94],[3,4,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,93],[0,3,60],[0,4,41],[1,2,5],[1,3,28],[1,4,71],[2,3,17],[2,4,94],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,93],[0,3,60],[0,4,41],[1,2,5],[1,3,28],[1,4,71],[2,3,17],[2,4,94],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,93],[0,3,60],[0,4,41],[1,2,5],[1,3,28],[1,4,71],[2,3,17],[2,4,94],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (2,3)=17, w=22\",\"Add (0,1)=36, w=58\",\"Add (0,4)=41, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,93],[0,3,60],[0,4,41],[1,2,5],[1,3,28],[1,4,71],[2,3,17],[2,4,94],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (2,3)=17 Succeeded, w=22\",\"Add (1,3)=28 Failed, w=22\",\"Add (0,1)=36 Succeeded, w=58\",\"Add (0,4)=41 Succeeded, w=99\",\"Add (0,3)=60 Failed, w=99\",\"Add (1,4)=71 Failed, w=99\",\"Add (3,4)=72 Failed, w=99\",\"Add (0,2)=93 Failed, w=99\",\"Add (2,4)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,93],[0,3,60],[0,4,41],[1,2,5],[1,3,28],[1,4,71],[2,3,17],[2,4,94],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,3)=17,(1,3)=28,(0,1)=36,(0,4)=41,(0,3)=60,(1,4)=71,(3,4)=72,(0,2)=93,(2,4)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(2)=1, Find(3)=3, Add (2,3)=17 Succeeded, w=22\",\"Find(1)=1, Find(3)=1, Add (1,3)=28 Failed, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=58\",\"Find(0)=1, Find(4)=4, Add (0,4)=41 Succeeded, w=99\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=99\",\"Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=99\",\"Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=99\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=99\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,93],[0,3,60],[0,4,41],[1,2,5],[1,3,28],[1,4,71],[2,3,17],[2,4,94],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,3)=17,(1,3)=28,(0,1)=36,(0,4)=41,(0,3)=60,(1,4)=71,(3,4)=72,(0,2)=93,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=17 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=1, Add (1,3)=28 Failed, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=41 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,72],[0,2,15],[0,3,72],[0,4,14],[0,5,0],[0,6,43],[0,7,19],[1,2,71],[1,3,67],[1,4,76],[1,5,79],[1,6,93],[1,7,6],[2,3,29],[2,4,37],[2,5,40],[2,6,15],[2,7,84],[3,4,20],[3,5,5],[3,6,48],[3,7,38],[4,5,96],[4,6,75],[4,7,29],[5,6,85],[5,7,39],[6,7,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,15],[0,3,72],[0,4,14],[0,5,0],[0,6,43],[0,7,19],[1,2,71],[1,3,67],[1,4,76],[1,5,79],[1,6,93],[1,7,6],[2,3,29],[2,4,37],[2,5,40],[2,6,15],[2,7,84],[3,4,20],[3,5,5],[3,6,48],[3,7,38],[4,5,96],[4,6,75],[4,7,29],[5,6,85],[5,7,39],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,15],[0,3,72],[0,4,14],[0,5,0],[0,6,43],[0,7,19],[1,2,71],[1,3,67],[1,4,76],[1,5,79],[1,6,93],[1,7,6],[2,3,29],[2,4,37],[2,5,40],[2,6,15],[2,7,84],[3,4,20],[3,5,5],[3,6,48],[3,7,38],[4,5,96],[4,6,75],[4,7,29],[5,6,85],[5,7,39],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,5)\",\"Add (1,7)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (0,7)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,15],[0,3,72],[0,4,14],[0,5,0],[0,6,43],[0,7,19],[1,2,71],[1,3,67],[1,4,76],[1,5,79],[1,6,93],[1,7,6],[2,3,29],[2,4,37],[2,5,40],[2,6,15],[2,7,84],[3,4,20],[3,5,5],[3,6,48],[3,7,38],[4,5,96],[4,6,75],[4,7,29],[5,6,85],[5,7,39],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (3,5)=5, w=5\",\"Add (1,7)=6, w=11\",\"Add (0,4)=14, w=25\",\"Add (0,2)=15, w=40\",\"Add (2,6)=15, w=55\",\"Add (0,7)=19, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,15],[0,3,72],[0,4,14],[0,5,0],[0,6,43],[0,7,19],[1,2,71],[1,3,67],[1,4,76],[1,5,79],[1,6,93],[1,7,6],[2,3,29],[2,4,37],[2,5,40],[2,6,15],[2,7,84],[3,4,20],[3,5,5],[3,6,48],[3,7,38],[4,5,96],[4,6,75],[4,7,29],[5,6,85],[5,7,39],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (3,5)=5 Succeeded, w=5\",\"Add (1,7)=6 Succeeded, w=11\",\"Add (0,4)=14 Succeeded, w=25\",\"Add (0,2)=15 Succeeded, w=40\",\"Add (2,6)=15 Succeeded, w=55\",\"Add (0,7)=19 Succeeded, w=74\",\"Add (3,4)=20 Failed, w=74\",\"Add (2,3)=29 Failed, w=74\",\"Add (4,7)=29 Failed, w=74\",\"Add (2,4)=37 Failed, w=74\",\"Add (3,7)=38 Failed, w=74\",\"Add (5,7)=39 Failed, w=74\",\"Add (2,5)=40 Failed, w=74\",\"Add (0,6)=43 Failed, w=74\",\"Add (3,6)=48 Failed, w=74\",\"Add (1,3)=67 Failed, w=74\",\"Add (1,2)=71 Failed, w=74\",\"Add (0,1)=72 Failed, w=74\",\"Add (0,3)=72 Failed, w=74\",\"Add (4,6)=75 Failed, w=74\",\"Add (1,4)=76 Failed, w=74\",\"Add (1,5)=79 Failed, w=74\",\"Add (2,7)=84 Failed, w=74\",\"Add (5,6)=85 Failed, w=74\",\"Add (6,7)=89 Failed, w=74\",\"Add (1,6)=93 Failed, w=74\",\"Add (4,5)=96 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,15],[0,3,72],[0,4,14],[0,5,0],[0,6,43],[0,7,19],[1,2,71],[1,3,67],[1,4,76],[1,5,79],[1,6,93],[1,7,6],[2,3,29],[2,4,37],[2,5,40],[2,6,15],[2,7,84],[3,4,20],[3,5,5],[3,6,48],[3,7,38],[4,5,96],[4,6,75],[4,7,29],[5,6,85],[5,7,39],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(3,5)=5,(1,7)=6,(0,4)=14,(0,2)=15,(2,6)=15,(0,7)=19,(3,4)=20,(2,3)=29,(4,7)=29,(2,4)=37,(3,7)=38,(5,7)=39,(2,5)=40,(0,6)=43,(3,6)=48,(1,3)=67,(1,2)=71,(0,1)=72,(0,3)=72,(4,6)=75,(1,4)=76,(1,5)=79,(2,7)=84,(5,6)=85,(6,7)=89,(1,6)=93,(4,5)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=0, Add (3,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(7)=7, Add (1,7)=6 Succeeded, w=11\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=25\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=40\",\"Find(2)=0, Find(6)=6, Add (2,6)=15 Succeeded, w=55\",\"Find(0)=0, Find(7)=1, Add (0,7)=19 Succeeded, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=20 Failed, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=74\",\"Find(4)=0, Find(7)=0, Add (4,7)=29 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=74\",\"Find(3)=0, Find(7)=0, Add (3,7)=38 Failed, w=74\",\"Find(5)=0, Find(7)=0, Add (5,7)=39 Failed, w=74\",\"Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=74\",\"Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=74\",\"Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=74\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=74\",\"Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=74\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=74\",\"Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=74\",\"Find(2)=0, Find(7)=0, Add (2,7)=84 Failed, w=74\",\"Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=74\",\"Find(6)=0, Find(7)=0, Add (6,7)=89 Failed, w=74\",\"Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=74\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,15],[0,3,72],[0,4,14],[0,5,0],[0,6,43],[0,7,19],[1,2,71],[1,3,67],[1,4,76],[1,5,79],[1,6,93],[1,7,6],[2,3,29],[2,4,37],[2,5,40],[2,6,15],[2,7,84],[3,4,20],[3,5,5],[3,6,48],[3,7,38],[4,5,96],[4,6,75],[4,7,29],[5,6,85],[5,7,39],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(3,5)=5,(1,7)=6,(0,4)=14,(0,2)=15,(2,6)=15,(0,7)=19,(3,4)=20,(2,3)=29,(4,7)=29,(2,4)=37,(3,7)=38,(5,7)=39,(2,5)=40,(0,6)=43,(3,6)=48,(1,3)=67,(1,2)=71,(0,1)=72,(0,3)=72,(4,6)=75,(1,4)=76,(1,5)=79,(2,7)=84,(5,6)=85,(6,7)=89,(1,6)=93,(4,5)=96]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(3)=3, Find(5)=0, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 1}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(2)=0, Find(6)=6, Add (2,6)=15 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=19 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(3)=0, Find(4)=0, Add (3,4)=20 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=74\",\"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)=29 Failed, w=74\",\"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)=37 Failed, w=74\",\"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)=38 Failed, w=74\",\"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)=39 Failed, w=74\",\"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)=40 Failed, w=74\",\"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)=43 Failed, w=74\",\"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)=48 Failed, w=74\",\"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)=67 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=72 Failed, w=74\",\"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)=72 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=75 Failed, w=74\",\"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)=76 Failed, w=74\",\"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)=79 Failed, w=74\",\"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)=84 Failed, w=74\",\"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=74\",\"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)=89 Failed, w=74\",\"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)=93 Failed, w=74\",\"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)=96 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,3,6],[0,4,50],[0,5,79],[1,4,73],[1,7,30],[2,4,36],[2,6,87],[3,4,31],[3,6,46],[3,7,10],[4,5,73],[4,6,41],[5,6,4],[6,7,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,6],[0,4,50],[0,5,79],[1,4,73],[1,7,30],[2,4,36],[2,6,87],[3,4,31],[3,6,46],[3,7,10],[4,5,73],[4,6,41],[5,6,4],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,6],[0,4,50],[0,5,79],[1,4,73],[1,7,30],[2,4,36],[2,6,87],[3,4,31],[3,6,46],[3,7,10],[4,5,73],[4,6,41],[5,6,4],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,3)\",\"Add (3,7)\",\"Add (6,7)\",\"Add (1,7)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,6],[0,4,50],[0,5,79],[1,4,73],[1,7,30],[2,4,36],[2,6,87],[3,4,31],[3,6,46],[3,7,10],[4,5,73],[4,6,41],[5,6,4],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4, w=4\",\"Add (0,3)=6, w=10\",\"Add (3,7)=10, w=20\",\"Add (6,7)=10, w=30\",\"Add (1,7)=30, w=60\",\"Add (3,4)=31, w=91\",\"Add (2,4)=36, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,6],[0,4,50],[0,5,79],[1,4,73],[1,7,30],[2,4,36],[2,6,87],[3,4,31],[3,6,46],[3,7,10],[4,5,73],[4,6,41],[5,6,4],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4 Succeeded, w=4\",\"Add (0,3)=6 Succeeded, w=10\",\"Add (3,7)=10 Succeeded, w=20\",\"Add (6,7)=10 Succeeded, w=30\",\"Add (1,7)=30 Succeeded, w=60\",\"Add (3,4)=31 Succeeded, w=91\",\"Add (2,4)=36 Succeeded, w=127\",\"Add (4,6)=41 Failed, w=127\",\"Add (3,6)=46 Failed, w=127\",\"Add (0,4)=50 Failed, w=127\",\"Add (0,1)=67 Failed, w=127\",\"Add (1,4)=73 Failed, w=127\",\"Add (4,5)=73 Failed, w=127\",\"Add (0,5)=79 Failed, w=127\",\"Add (2,6)=87 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,6],[0,4,50],[0,5,79],[1,4,73],[1,7,30],[2,4,36],[2,6,87],[3,4,31],[3,6,46],[3,7,10],[4,5,73],[4,6,41],[5,6,4],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(0,3)=6,(3,7)=10,(6,7)=10,(1,7)=30,(3,4)=31,(2,4)=36,(4,6)=41,(3,6)=46,(0,4)=50,(0,1)=67,(1,4)=73,(4,5)=73,(0,5)=79,(2,6)=87]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=10\",\"Find(3)=0, Find(7)=7, Add (3,7)=10 Succeeded, w=20\",\"Find(6)=5, Find(7)=0, Add (6,7)=10 Succeeded, w=30\",\"Find(1)=1, Find(7)=5, Add (1,7)=30 Succeeded, w=60\",\"Find(3)=5, Find(4)=4, Add (3,4)=31 Succeeded, w=91\",\"Find(2)=2, Find(4)=5, Add (2,4)=36 Succeeded, w=127\",\"Find(4)=5, Find(6)=5, Add (4,6)=41 Failed, w=127\",\"Find(3)=5, Find(6)=5, Add (3,6)=46 Failed, w=127\",\"Find(0)=5, Find(4)=5, Add (0,4)=50 Failed, w=127\",\"Find(0)=5, Find(1)=5, Add (0,1)=67 Failed, w=127\",\"Find(1)=5, Find(4)=5, Add (1,4)=73 Failed, w=127\",\"Find(4)=5, Find(5)=5, Add (4,5)=73 Failed, w=127\",\"Find(0)=5, Find(5)=5, Add (0,5)=79 Failed, w=127\",\"Find(2)=5, Find(6)=5, Add (2,6)=87 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,3,6],[0,4,50],[0,5,79],[1,4,73],[1,7,30],[2,4,36],[2,6,87],[3,4,31],[3,6,46],[3,7,10],[4,5,73],[4,6,41],[5,6,4],[6,7,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(0,3)=6,(3,7)=10,(6,7)=10,(1,7)=30,(3,4)=31,(2,4)=36,(4,6)=41,(3,6)=46,(0,4)=50,(0,1)=67,(1,4)=73,(4,5)=73,(0,5)=79,(2,6)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=10 Succeeded, w=20\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 0}, Find(6)=5, Find(7)=0, Add (6,7)=10 Succeeded, w=30\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=30 Succeeded, w=60\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=4, Add (3,4)=31 Succeeded, w=91\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=2, Find(4)=5, Add (2,4)=36 Succeeded, w=127\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(6)=5, Add (4,6)=41 Failed, w=127\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=46 Failed, w=127\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=50 Failed, w=127\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=5, Add (0,1)=67 Failed, w=127\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=73 Failed, w=127\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=73 Failed, w=127\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=79 Failed, w=127\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=87 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[0,3,31],[1,2,27],[1,3,62],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,31],[1,2,27],[1,3,62],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,31],[1,2,27],[1,3,62],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,31],[1,2,27],[1,3,62],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27, w=27\",\"Add (2,3)=29, w=56\",\"Add (0,3)=31, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,31],[1,2,27],[1,3,62],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27 Succeeded, w=27\",\"Add (2,3)=29 Succeeded, w=56\",\"Add (0,3)=31 Succeeded, w=87\",\"Add (0,1)=42 Failed, w=87\",\"Add (1,3)=62 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,31],[1,2,27],[1,3,62],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(2,3)=29,(0,3)=31,(0,1)=42,(1,3)=62]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Find(2)=1, Find(3)=3, Add (2,3)=29 Succeeded, w=56\",\"Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=87\",\"Find(0)=1, Find(1)=1, Add (0,1)=42 Failed, w=87\",\"Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,3,31],[1,2,27],[1,3,62],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(2,3)=29,(0,3)=31,(0,1)=42,(1,3)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=29 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=31 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=42 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=62 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,52],[0,4,11],[1,2,18],[1,3,72],[1,4,66],[2,3,22],[2,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,52],[0,4,11],[1,2,18],[1,3,72],[1,4,66],[2,3,22],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,52],[0,4,11],[1,2,18],[1,3,72],[1,4,66],[2,3,22],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,52],[0,4,11],[1,2,18],[1,3,72],[1,4,66],[2,3,22],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (1,2)=18, w=29\",\"Add (2,3)=22, w=51\",\"Add (0,2)=52, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,52],[0,4,11],[1,2,18],[1,3,72],[1,4,66],[2,3,22],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (1,2)=18 Succeeded, w=29\",\"Add (2,3)=22 Succeeded, w=51\",\"Add (0,2)=52 Succeeded, w=103\",\"Add (1,4)=66 Failed, w=103\",\"Add (1,3)=72 Failed, w=103\",\"Add (2,4)=100 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,52],[0,4,11],[1,2,18],[1,3,72],[1,4,66],[2,3,22],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(1,2)=18,(2,3)=22,(0,2)=52,(1,4)=66,(1,3)=72,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=29\",\"Find(2)=1, Find(3)=3, Add (2,3)=22 Succeeded, w=51\",\"Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=103\",\"Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=103\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=103\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,52],[0,4,11],[1,2,18],[1,3,72],[1,4,66],[2,3,22],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(1,2)=18,(2,3)=22,(0,2)=52,(1,4)=66,(1,3)=72,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=1, Find(3)=3, Add (2,3)=22 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,31],[0,2,85],[0,3,10],[0,4,90],[0,5,85],[1,2,74],[1,3,44],[1,4,13],[1,5,91],[2,4,39],[2,5,69],[3,4,44],[3,5,42],[4,5,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,2,85],[0,3,10],[0,4,90],[0,5,85],[1,2,74],[1,3,44],[1,4,13],[1,5,91],[2,4,39],[2,5,69],[3,4,44],[3,5,42],[4,5,40]]}",
"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],\"edges\":[[0,1,31],[0,2,85],[0,3,10],[0,4,90],[0,5,85],[1,2,74],[1,3,44],[1,4,13],[1,5,91],[2,4,39],[2,5,69],[3,4,44],[3,5,42],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (4,5)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,2,85],[0,3,10],[0,4,90],[0,5,85],[1,2,74],[1,3,44],[1,4,13],[1,5,91],[2,4,39],[2,5,69],[3,4,44],[3,5,42],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,4)=13, w=23\",\"Add (0,1)=31, w=54\",\"Add (2,4)=39, w=93\",\"Add (4,5)=40, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,31],[0,2,85],[0,3,10],[0,4,90],[0,5,85],[1,2,74],[1,3,44],[1,4,13],[1,5,91],[2,4,39],[2,5,69],[3,4,44],[3,5,42],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,4)=13 Succeeded, w=23\",\"Add (0,1)=31 Succeeded, w=54\",\"Add (2,4)=39 Succeeded, w=93\",\"Add (4,5)=40 Succeeded, w=133\",\"Add (3,5)=42 Failed, w=133\",\"Add (1,3)=44 Failed, w=133\",\"Add (3,4)=44 Failed, w=133\",\"Add (2,5)=69 Failed, w=133\",\"Add (1,2)=74 Failed, w=133\",\"Add (0,2)=85 Failed, w=133\",\"Add (0,5)=85 Failed, w=133\",\"Add (0,4)=90 Failed, w=133\",\"Add (1,5)=91 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],\"edges\":[[0,1,31],[0,2,85],[0,3,10],[0,4,90],[0,5,85],[1,2,74],[1,3,44],[1,4,13],[1,5,91],[2,4,39],[2,5,69],[3,4,44],[3,5,42],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,4)=13,(0,1)=31,(2,4)=39,(4,5)=40,(3,5)=42,(1,3)=44,(3,4)=44,(2,5)=69,(1,2)=74,(0,2)=85,(0,5)=85,(0,4)=90,(1,5)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=54\",\"Find(2)=2, Find(4)=0, Add (2,4)=39 Succeeded, w=93\",\"Find(4)=0, Find(5)=5, Add (4,5)=40 Succeeded, w=133\",\"Find(3)=0, Find(5)=0, Add (3,5)=42 Failed, w=133\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=133\",\"Find(3)=0, Find(4)=0, Add (3,4)=44 Failed, w=133\",\"Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=133\",\"Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=133\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=133\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=133\",\"Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=133\",\"Find(1)=0, Find(5)=0, Add (1,5)=91 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],\"edges\":[[0,1,31],[0,2,85],[0,3,10],[0,4,90],[0,5,85],[1,2,74],[1,3,44],[1,4,13],[1,5,91],[2,4,39],[2,5,69],[3,4,44],[3,5,42],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,4)=13,(0,1)=31,(2,4)=39,(4,5)=40,(3,5)=42,(1,3)=44,(3,4)=44,(2,5)=69,(1,2)=74,(0,2)=85,(0,5)=85,(0,4)=90,(1,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=39 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=40 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=42 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=44 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,2,76],[0,3,40],[0,4,45],[1,2,54],[1,3,74],[1,4,87],[1,5,47],[2,3,38],[3,5,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,76],[0,3,40],[0,4,45],[1,2,54],[1,3,74],[1,4,87],[1,5,47],[2,3,38],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,76],[0,3,40],[0,4,45],[1,2,54],[1,3,74],[1,4,87],[1,5,47],[2,3,38],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (1,2)\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,76],[0,3,40],[0,4,45],[1,2,54],[1,3,74],[1,4,87],[1,5,47],[2,3,38],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=38, w=38\",\"Add (0,3)=40, w=78\",\"Add (0,4)=45, w=123\",\"Add (1,5)=47, w=170\",\"Add (1,2)=54, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,76],[0,3,40],[0,4,45],[1,2,54],[1,3,74],[1,4,87],[1,5,47],[2,3,38],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=38 Succeeded, w=38\",\"Add (0,3)=40 Succeeded, w=78\",\"Add (0,4)=45 Succeeded, w=123\",\"Add (1,5)=47 Succeeded, w=170\",\"Add (1,2)=54 Succeeded, w=224\",\"Add (1,3)=74 Failed, w=224\",\"Add (0,2)=76 Failed, w=224\",\"Add (1,4)=87 Failed, w=224\",\"Add (3,5)=90 Failed, w=224\",\"Add (0,1)=95 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,76],[0,3,40],[0,4,45],[1,2,54],[1,3,74],[1,4,87],[1,5,47],[2,3,38],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=38,(0,3)=40,(0,4)=45,(1,5)=47,(1,2)=54,(1,3)=74,(0,2)=76,(1,4)=87,(3,5)=90,(0,1)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=38 Succeeded, w=38\",\"Find(0)=0, Find(3)=2, Add (0,3)=40 Succeeded, w=78\",\"Find(0)=2, Find(4)=4, Add (0,4)=45 Succeeded, w=123\",\"Find(1)=1, Find(5)=5, Add (1,5)=47 Succeeded, w=170\",\"Find(1)=1, Find(2)=2, Add (1,2)=54 Succeeded, w=224\",\"Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=224\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=224\",\"Find(1)=1, Find(4)=1, Add (1,4)=87 Failed, w=224\",\"Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=224\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,76],[0,3,40],[0,4,45],[1,2,54],[1,3,74],[1,4,87],[1,5,47],[2,3,38],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=38,(0,3)=40,(0,4)=45,(1,5)=47,(1,2)=54,(1,3)=74,(0,2)=76,(1,4)=87,(3,5)=90,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=38 Succeeded, w=38\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=0, Find(3)=2, Add (0,3)=40 Succeeded, w=78\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=2, Find(4)=4, Add (0,4)=45 Succeeded, w=123\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=47 Succeeded, w=170\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=54 Succeeded, w=224\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=74 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=87 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=90 Failed, w=224\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,16],[0,3,3],[0,4,74],[0,5,49],[1,2,27],[2,4,24],[3,4,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,16],[0,3,3],[0,4,74],[0,5,49],[1,2,27],[2,4,24],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,16],[0,3,3],[0,4,74],[0,5,49],[1,2,27],[2,4,24],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,5)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,16],[0,3,3],[0,4,74],[0,5,49],[1,2,27],[2,4,24],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (0,2)=16, w=19\",\"Add (2,4)=24, w=43\",\"Add (1,2)=27, w=70\",\"Add (0,5)=49, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,16],[0,3,3],[0,4,74],[0,5,49],[1,2,27],[2,4,24],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,2)=16 Succeeded, w=19\",\"Add (2,4)=24 Succeeded, w=43\",\"Add (1,2)=27 Succeeded, w=70\",\"Add (0,5)=49 Succeeded, w=119\",\"Add (0,4)=74 Failed, w=119\",\"Add (3,4)=84 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,16],[0,3,3],[0,4,74],[0,5,49],[1,2,27],[2,4,24],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,2)=16,(2,4)=24,(1,2)=27,(0,5)=49,(0,4)=74,(3,4)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=19\",\"Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=43\",\"Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=70\",\"Find(0)=0, Find(5)=5, Add (0,5)=49 Succeeded, w=119\",\"Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=119\",\"Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,16],[0,3,3],[0,4,74],[0,5,49],[1,2,27],[2,4,24],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,2)=16,(2,4)=24,(1,2)=27,(0,5)=49,(0,4)=74,(3,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=49 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,84],[0,3,57],[0,4,89],[1,2,82],[1,3,60],[1,4,46],[2,5,23],[3,5,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,57],[0,4,89],[1,2,82],[1,3,60],[1,4,46],[2,5,23],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,57],[0,4,89],[1,2,82],[1,3,60],[1,4,46],[2,5,23],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,57],[0,4,89],[1,2,82],[1,3,60],[1,4,46],[2,5,23],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=23, w=23\",\"Add (3,5)=29, w=52\",\"Add (1,4)=46, w=98\",\"Add (0,3)=57, w=155\",\"Add (1,3)=60, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,57],[0,4,89],[1,2,82],[1,3,60],[1,4,46],[2,5,23],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=23 Succeeded, w=23\",\"Add (3,5)=29 Succeeded, w=52\",\"Add (1,4)=46 Succeeded, w=98\",\"Add (0,3)=57 Succeeded, w=155\",\"Add (1,3)=60 Succeeded, w=215\",\"Add (1,2)=82 Failed, w=215\",\"Add (0,2)=84 Failed, w=215\",\"Add (0,4)=89 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,57],[0,4,89],[1,2,82],[1,3,60],[1,4,46],[2,5,23],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=23,(3,5)=29,(1,4)=46,(0,3)=57,(1,3)=60,(1,2)=82,(0,2)=84,(0,4)=89]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=23 Succeeded, w=23\",\"Find(3)=3, Find(5)=2, Add (3,5)=29 Succeeded, w=52\",\"Find(1)=1, Find(4)=4, Add (1,4)=46 Succeeded, w=98\",\"Find(0)=0, Find(3)=2, Add (0,3)=57 Succeeded, w=155\",\"Find(1)=1, Find(3)=2, Add (1,3)=60 Succeeded, w=215\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=215\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=215\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,84],[0,3,57],[0,4,89],[1,2,82],[1,3,60],[1,4,46],[2,5,23],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=23,(3,5)=29,(1,4)=46,(0,3)=57,(1,3)=60,(1,2)=82,(0,2)=84,(0,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=29 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2}, Find(1)=1, Find(4)=4, Add (1,4)=46 Succeeded, w=98\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=57 Succeeded, w=155\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=60 Succeeded, w=215\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=215\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,3],[0,2,68],[0,3,10],[0,4,82],[1,2,5],[1,3,99],[2,3,6],[2,4,86],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,68],[0,3,10],[0,4,82],[1,2,5],[1,3,99],[2,3,6],[2,4,86],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,68],[0,3,10],[0,4,82],[1,2,5],[1,3,99],[2,3,6],[2,4,86],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,68],[0,3,10],[0,4,82],[1,2,5],[1,3,99],[2,3,6],[2,4,86],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (1,2)=5, w=8\",\"Add (2,3)=6, w=14\",\"Add (3,4)=34, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,68],[0,3,10],[0,4,82],[1,2,5],[1,3,99],[2,3,6],[2,4,86],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (1,2)=5 Succeeded, w=8\",\"Add (2,3)=6 Succeeded, w=14\",\"Add (0,3)=10 Failed, w=14\",\"Add (3,4)=34 Succeeded, w=48\",\"Add (0,2)=68 Failed, w=48\",\"Add (0,4)=82 Failed, w=48\",\"Add (2,4)=86 Failed, w=48\",\"Add (1,3)=99 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,68],[0,3,10],[0,4,82],[1,2,5],[1,3,99],[2,3,6],[2,4,86],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,2)=5,(2,3)=6,(0,3)=10,(3,4)=34,(0,2)=68,(0,4)=82,(2,4)=86,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(1)=0, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Find(2)=0, Find(3)=3, Add (2,3)=6 Succeeded, w=14\",\"Find(0)=0, Find(3)=0, Add (0,3)=10 Failed, w=14\",\"Find(3)=0, Find(4)=4, Add (3,4)=34 Succeeded, w=48\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=48\",\"Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=48\",\"Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=48\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,68],[0,3,10],[0,4,82],[1,2,5],[1,3,99],[2,3,6],[2,4,86],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,2)=5,(2,3)=6,(0,3)=10,(3,4)=34,(0,2)=68,(0,4)=82,(2,4)=86,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=6 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=10 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=34 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,77],[0,5,22],[0,6,85],[0,7,94],[1,2,82],[1,3,26],[1,4,22],[1,6,18],[1,7,100],[2,3,46],[2,4,32],[3,6,6],[4,6,94],[4,7,47],[5,7,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,77],[0,5,22],[0,6,85],[0,7,94],[1,2,82],[1,3,26],[1,4,22],[1,6,18],[1,7,100],[2,3,46],[2,4,32],[3,6,6],[4,6,94],[4,7,47],[5,7,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,77],[0,5,22],[0,6,85],[0,7,94],[1,2,82],[1,3,26],[1,4,22],[1,6,18],[1,7,100],[2,3,46],[2,4,32],[3,6,6],[4,6,94],[4,7,47],[5,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (5,7)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (4,7)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,77],[0,5,22],[0,6,85],[0,7,94],[1,2,82],[1,3,26],[1,4,22],[1,6,18],[1,7,100],[2,3,46],[2,4,32],[3,6,6],[4,6,94],[4,7,47],[5,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=6, w=6\",\"Add (5,7)=7, w=13\",\"Add (1,6)=18, w=31\",\"Add (0,5)=22, w=53\",\"Add (1,4)=22, w=75\",\"Add (2,4)=32, w=107\",\"Add (4,7)=47, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,77],[0,5,22],[0,6,85],[0,7,94],[1,2,82],[1,3,26],[1,4,22],[1,6,18],[1,7,100],[2,3,46],[2,4,32],[3,6,6],[4,6,94],[4,7,47],[5,7,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=6 Succeeded, w=6\",\"Add (5,7)=7 Succeeded, w=13\",\"Add (1,6)=18 Succeeded, w=31\",\"Add (0,5)=22 Succeeded, w=53\",\"Add (1,4)=22 Succeeded, w=75\",\"Add (1,3)=26 Failed, w=75\",\"Add (2,4)=32 Succeeded, w=107\",\"Add (2,3)=46 Failed, w=107\",\"Add (4,7)=47 Succeeded, w=154\",\"Add (0,3)=77 Failed, w=154\",\"Add (1,2)=82 Failed, w=154\",\"Add (0,6)=85 Failed, w=154\",\"Add (0,7)=94 Failed, w=154\",\"Add (4,6)=94 Failed, w=154\",\"Add (1,7)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,77],[0,5,22],[0,6,85],[0,7,94],[1,2,82],[1,3,26],[1,4,22],[1,6,18],[1,7,100],[2,3,46],[2,4,32],[3,6,6],[4,6,94],[4,7,47],[5,7,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=6,(5,7)=7,(1,6)=18,(0,5)=22,(1,4)=22,(1,3)=26,(2,4)=32,(2,3)=46,(4,7)=47,(0,3)=77,(1,2)=82,(0,6)=85,(0,7)=94,(4,6)=94,(1,7)=100]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=6\",\"Find(5)=5, Find(7)=7, Add (5,7)=7 Succeeded, w=13\",\"Find(1)=1, Find(6)=3, Add (1,6)=18 Succeeded, w=31\",\"Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=53\",\"Find(1)=3, Find(4)=4, Add (1,4)=22 Succeeded, w=75\",\"Find(1)=3, Find(3)=3, Add (1,3)=26 Failed, w=75\",\"Find(2)=2, Find(4)=3, Add (2,4)=32 Succeeded, w=107\",\"Find(2)=3, Find(3)=3, Add (2,3)=46 Failed, w=107\",\"Find(4)=3, Find(7)=5, Add (4,7)=47 Succeeded, w=154\",\"Find(0)=3, Find(3)=3, Add (0,3)=77 Failed, w=154\",\"Find(1)=3, Find(2)=3, Add (1,2)=82 Failed, w=154\",\"Find(0)=3, Find(6)=3, Add (0,6)=85 Failed, w=154\",\"Find(0)=3, Find(7)=3, Add (0,7)=94 Failed, w=154\",\"Find(4)=3, Find(6)=3, Add (4,6)=94 Failed, w=154\",\"Find(1)=3, Find(7)=3, Add (1,7)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,77],[0,5,22],[0,6,85],[0,7,94],[1,2,82],[1,3,26],[1,4,22],[1,6,18],[1,7,100],[2,3,46],[2,4,32],[3,6,6],[4,6,94],[4,7,47],[5,7,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=6,(5,7)=7,(1,6)=18,(0,5)=22,(1,4)=22,(1,3)=26,(2,4)=32,(2,3)=46,(4,7)=47,(0,3)=77,(1,2)=82,(0,6)=85,(0,7)=94,(4,6)=94,(1,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(1)=1, Find(6)=3, Add (1,6)=18 Succeeded, w=31\",\"Parent: {0: 5, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=53\",\"Parent: {0: 5, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(1)=3, Find(4)=4, Add (1,4)=22 Succeeded, w=75\",\"Parent: {0: 5, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(1)=3, Find(3)=3, Add (1,3)=26 Failed, w=75\",\"Parent: {0: 5, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(2)=2, Find(4)=3, Add (2,4)=32 Succeeded, w=107\",\"Parent: {0: 5, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(2)=3, Find(3)=3, Add (2,3)=46 Failed, w=107\",\"Parent: {0: 5, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(4)=3, Find(7)=5, Add (4,7)=47 Succeeded, w=154\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(0)=3, Find(3)=3, Add (0,3)=77 Failed, w=154\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(1)=3, Find(2)=3, Add (1,2)=82 Failed, w=154\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(0)=3, Find(6)=3, Add (0,6)=85 Failed, w=154\",\"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)=94 Failed, w=154\",\"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)=94 Failed, w=154\",\"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)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,98],[0,2,4],[0,3,72],[0,5,21],[0,6,12],[1,2,27],[1,3,2],[1,4,91],[1,5,32],[1,6,8],[2,3,95],[2,4,77],[2,6,80],[3,4,45],[3,5,86],[3,6,57],[4,5,34],[4,6,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,4],[0,3,72],[0,5,21],[0,6,12],[1,2,27],[1,3,2],[1,4,91],[1,5,32],[1,6,8],[2,3,95],[2,4,77],[2,6,80],[3,4,45],[3,5,86],[3,6,57],[4,5,34],[4,6,13]]}",
"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\":[[0,1,98],[0,2,4],[0,3,72],[0,5,21],[0,6,12],[1,2,27],[1,3,2],[1,4,91],[1,5,32],[1,6,8],[2,3,95],[2,4,77],[2,6,80],[3,4,45],[3,5,86],[3,6,57],[4,5,34],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (0,5)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,4],[0,3,72],[0,5,21],[0,6,12],[1,2,27],[1,3,2],[1,4,91],[1,5,32],[1,6,8],[2,3,95],[2,4,77],[2,6,80],[3,4,45],[3,5,86],[3,6,57],[4,5,34],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,2)=4, w=6\",\"Add (1,6)=8, w=14\",\"Add (0,6)=12, w=26\",\"Add (4,6)=13, w=39\",\"Add (0,5)=21, 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\":[[0,1,98],[0,2,4],[0,3,72],[0,5,21],[0,6,12],[1,2,27],[1,3,2],[1,4,91],[1,5,32],[1,6,8],[2,3,95],[2,4,77],[2,6,80],[3,4,45],[3,5,86],[3,6,57],[4,5,34],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,2)=4 Succeeded, w=6\",\"Add (1,6)=8 Succeeded, w=14\",\"Add (0,6)=12 Succeeded, w=26\",\"Add (4,6)=13 Succeeded, w=39\",\"Add (0,5)=21 Succeeded, w=60\",\"Add (1,2)=27 Failed, w=60\",\"Add (1,5)=32 Failed, w=60\",\"Add (4,5)=34 Failed, w=60\",\"Add (3,4)=45 Failed, w=60\",\"Add (3,6)=57 Failed, w=60\",\"Add (0,3)=72 Failed, w=60\",\"Add (2,4)=77 Failed, w=60\",\"Add (2,6)=80 Failed, w=60\",\"Add (3,5)=86 Failed, w=60\",\"Add (1,4)=91 Failed, w=60\",\"Add (2,3)=95 Failed, w=60\",\"Add (0,1)=98 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\":[[0,1,98],[0,2,4],[0,3,72],[0,5,21],[0,6,12],[1,2,27],[1,3,2],[1,4,91],[1,5,32],[1,6,8],[2,3,95],[2,4,77],[2,6,80],[3,4,45],[3,5,86],[3,6,57],[4,5,34],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,2)=4,(1,6)=8,(0,6)=12,(4,6)=13,(0,5)=21,(1,2)=27,(1,5)=32,(4,5)=34,(3,4)=45,(3,6)=57,(0,3)=72,(2,4)=77,(2,6)=80,(3,5)=86,(1,4)=91,(2,3)=95,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=6\",\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=14\",\"Find(0)=0, Find(6)=1, Add (0,6)=12 Succeeded, w=26\",\"Find(4)=4, Find(6)=0, Add (4,6)=13 Succeeded, w=39\",\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=60\",\"Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=60\",\"Find(1)=0, Find(5)=0, Add (1,5)=32 Failed, w=60\",\"Find(4)=0, Find(5)=0, Add (4,5)=34 Failed, w=60\",\"Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=60\",\"Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=60\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=60\",\"Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=60\",\"Find(2)=0, Find(6)=0, Add (2,6)=80 Failed, w=60\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=60\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=60\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=60\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 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\":[[0,1,98],[0,2,4],[0,3,72],[0,5,21],[0,6,12],[1,2,27],[1,3,2],[1,4,91],[1,5,32],[1,6,8],[2,3,95],[2,4,77],[2,6,80],[3,4,45],[3,5,86],[3,6,57],[4,5,34],[4,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,2)=4,(1,6)=8,(0,6)=12,(4,6)=13,(0,5)=21,(1,2)=27,(1,5)=32,(4,5)=34,(3,4)=45,(3,6)=57,(0,3)=72,(2,4)=77,(2,6)=80,(3,5)=86,(1,4)=91,(2,3)=95,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=12 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=13 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=27 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=32 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=34 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)=45 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=57 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)=72 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=60\",\"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=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)=86 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 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)=95 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)=98 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,94],[0,3,31],[0,4,4],[0,5,5],[1,3,38],[1,4,78],[1,5,30],[1,6,95],[2,4,55],[2,5,9],[2,6,34],[3,5,43],[3,6,21],[3,7,8],[4,6,58],[4,7,40],[5,6,87],[6,7,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,31],[0,4,4],[0,5,5],[1,3,38],[1,4,78],[1,5,30],[1,6,95],[2,4,55],[2,5,9],[2,6,34],[3,5,43],[3,6,21],[3,7,8],[4,6,58],[4,7,40],[5,6,87],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,31],[0,4,4],[0,5,5],[1,3,38],[1,4,78],[1,5,30],[1,6,95],[2,4,55],[2,5,9],[2,6,34],[3,5,43],[3,6,21],[3,7,8],[4,6,58],[4,7,40],[5,6,87],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (3,7)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (0,3)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,31],[0,4,4],[0,5,5],[1,3,38],[1,4,78],[1,5,30],[1,6,95],[2,4,55],[2,5,9],[2,6,34],[3,5,43],[3,6,21],[3,7,8],[4,6,58],[4,7,40],[5,6,87],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (0,5)=5, w=9\",\"Add (3,7)=8, w=17\",\"Add (2,5)=9, w=26\",\"Add (3,6)=21, w=47\",\"Add (1,5)=30, w=77\",\"Add (0,3)=31, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,31],[0,4,4],[0,5,5],[1,3,38],[1,4,78],[1,5,30],[1,6,95],[2,4,55],[2,5,9],[2,6,34],[3,5,43],[3,6,21],[3,7,8],[4,6,58],[4,7,40],[5,6,87],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (0,5)=5 Succeeded, w=9\",\"Add (3,7)=8 Succeeded, w=17\",\"Add (2,5)=9 Succeeded, w=26\",\"Add (3,6)=21 Succeeded, w=47\",\"Add (1,5)=30 Succeeded, w=77\",\"Add (0,3)=31 Succeeded, w=108\",\"Add (2,6)=34 Failed, w=108\",\"Add (1,3)=38 Failed, w=108\",\"Add (6,7)=38 Failed, w=108\",\"Add (4,7)=40 Failed, w=108\",\"Add (3,5)=43 Failed, w=108\",\"Add (2,4)=55 Failed, w=108\",\"Add (4,6)=58 Failed, w=108\",\"Add (1,4)=78 Failed, w=108\",\"Add (5,6)=87 Failed, w=108\",\"Add (0,1)=94 Failed, w=108\",\"Add (1,6)=95 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,31],[0,4,4],[0,5,5],[1,3,38],[1,4,78],[1,5,30],[1,6,95],[2,4,55],[2,5,9],[2,6,34],[3,5,43],[3,6,21],[3,7,8],[4,6,58],[4,7,40],[5,6,87],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(0,5)=5,(3,7)=8,(2,5)=9,(3,6)=21,(1,5)=30,(0,3)=31,(2,6)=34,(1,3)=38,(6,7)=38,(4,7)=40,(3,5)=43,(2,4)=55,(4,6)=58,(1,4)=78,(5,6)=87,(0,1)=94,(1,6)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=9\",\"Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=17\",\"Find(2)=2, Find(5)=0, Add (2,5)=9 Succeeded, w=26\",\"Find(3)=3, Find(6)=6, Add (3,6)=21 Succeeded, w=47\",\"Find(1)=1, Find(5)=0, Add (1,5)=30 Succeeded, w=77\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=108\",\"Find(2)=0, Find(6)=0, Add (2,6)=34 Failed, w=108\",\"Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=108\",\"Find(6)=0, Find(7)=0, Add (6,7)=38 Failed, w=108\",\"Find(4)=0, Find(7)=0, Add (4,7)=40 Failed, w=108\",\"Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=108\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=108\",\"Find(4)=0, Find(6)=0, Add (4,6)=58 Failed, w=108\",\"Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=108\",\"Find(5)=0, Find(6)=0, Add (5,6)=87 Failed, w=108\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=108\",\"Find(1)=0, Find(6)=0, Add (1,6)=95 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,31],[0,4,4],[0,5,5],[1,3,38],[1,4,78],[1,5,30],[1,6,95],[2,4,55],[2,5,9],[2,6,34],[3,5,43],[3,6,21],[3,7,8],[4,6,58],[4,7,40],[5,6,87],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(0,5)=5,(3,7)=8,(2,5)=9,(3,6)=21,(1,5)=30,(0,3)=31,(2,6)=34,(1,3)=38,(6,7)=38,(4,7)=40,(3,5)=43,(2,4)=55,(4,6)=58,(1,4)=78,(5,6)=87,(0,1)=94,(1,6)=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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 3}, Find(2)=2, Find(5)=0, Add (2,5)=9 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3, 7: 3}, Find(3)=3, Find(6)=6, Add (3,6)=21 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3, 7: 3}, Find(1)=1, Find(5)=0, Add (1,5)=30 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(6)=0, Add (2,6)=34 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=108\",\"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)=38 Failed, w=108\",\"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)=40 Failed, w=108\",\"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)=43 Failed, w=108\",\"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)=55 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=58 Failed, w=108\",\"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)=78 Failed, w=108\",\"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)=87 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=108\",\"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)=95 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,90],[0,2,99],[0,4,5],[0,6,1],[1,2,76],[1,3,2],[1,4,14],[1,5,49],[1,6,12],[2,3,91],[2,4,61],[2,5,21],[2,6,19],[3,5,24],[3,6,84],[4,5,65],[4,6,93],[5,6,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,99],[0,4,5],[0,6,1],[1,2,76],[1,3,2],[1,4,14],[1,5,49],[1,6,12],[2,3,91],[2,4,61],[2,5,21],[2,6,19],[3,5,24],[3,6,84],[4,5,65],[4,6,93],[5,6,89]]}",
"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\":[[0,1,90],[0,2,99],[0,4,5],[0,6,1],[1,2,76],[1,3,2],[1,4,14],[1,5,49],[1,6,12],[2,3,91],[2,4,61],[2,5,21],[2,6,19],[3,5,24],[3,6,84],[4,5,65],[4,6,93],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (2,5)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,99],[0,4,5],[0,6,1],[1,2,76],[1,3,2],[1,4,14],[1,5,49],[1,6,12],[2,3,91],[2,4,61],[2,5,21],[2,6,19],[3,5,24],[3,6,84],[4,5,65],[4,6,93],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (1,3)=2, w=3\",\"Add (0,4)=5, w=8\",\"Add (1,6)=12, w=20\",\"Add (2,6)=19, w=39\",\"Add (2,5)=21, 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\":[[0,1,90],[0,2,99],[0,4,5],[0,6,1],[1,2,76],[1,3,2],[1,4,14],[1,5,49],[1,6,12],[2,3,91],[2,4,61],[2,5,21],[2,6,19],[3,5,24],[3,6,84],[4,5,65],[4,6,93],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (1,3)=2 Succeeded, w=3\",\"Add (0,4)=5 Succeeded, w=8\",\"Add (1,6)=12 Succeeded, w=20\",\"Add (1,4)=14 Failed, w=20\",\"Add (2,6)=19 Succeeded, w=39\",\"Add (2,5)=21 Succeeded, w=60\",\"Add (3,5)=24 Failed, w=60\",\"Add (1,5)=49 Failed, w=60\",\"Add (2,4)=61 Failed, w=60\",\"Add (4,5)=65 Failed, w=60\",\"Add (1,2)=76 Failed, w=60\",\"Add (3,6)=84 Failed, w=60\",\"Add (5,6)=89 Failed, w=60\",\"Add (0,1)=90 Failed, w=60\",\"Add (2,3)=91 Failed, w=60\",\"Add (4,6)=93 Failed, w=60\",\"Add (0,2)=99 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\":[[0,1,90],[0,2,99],[0,4,5],[0,6,1],[1,2,76],[1,3,2],[1,4,14],[1,5,49],[1,6,12],[2,3,91],[2,4,61],[2,5,21],[2,6,19],[3,5,24],[3,6,84],[4,5,65],[4,6,93],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(1,3)=2,(0,4)=5,(1,6)=12,(1,4)=14,(2,6)=19,(2,5)=21,(3,5)=24,(1,5)=49,(2,4)=61,(4,5)=65,(1,2)=76,(3,6)=84,(5,6)=89,(0,1)=90,(2,3)=91,(4,6)=93,(0,2)=99]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=8\",\"Find(1)=1, Find(6)=0, Add (1,6)=12 Succeeded, w=20\",\"Find(1)=1, Find(4)=1, Add (1,4)=14 Failed, w=20\",\"Find(2)=2, Find(6)=1, Add (2,6)=19 Succeeded, w=39\",\"Find(2)=1, Find(5)=5, Add (2,5)=21 Succeeded, w=60\",\"Find(3)=1, Find(5)=1, Add (3,5)=24 Failed, w=60\",\"Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=60\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=60\",\"Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=60\",\"Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=60\",\"Find(3)=1, Find(6)=1, Add (3,6)=84 Failed, w=60\",\"Find(5)=1, Find(6)=1, Add (5,6)=89 Failed, w=60\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=60\",\"Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=60\",\"Find(4)=1, Find(6)=1, Add (4,6)=93 Failed, w=60\",\"Find(0)=1, Find(2)=1, Add (0,2)=99 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\":[[0,1,90],[0,2,99],[0,4,5],[0,6,1],[1,2,76],[1,3,2],[1,4,14],[1,5,49],[1,6,12],[2,3,91],[2,4,61],[2,5,21],[2,6,19],[3,5,24],[3,6,84],[4,5,65],[4,6,93],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(1,3)=2,(0,4)=5,(1,6)=12,(1,4)=14,(2,6)=19,(2,5)=21,(3,5)=24,(1,5)=49,(2,4)=61,(4,5)=65,(1,2)=76,(3,6)=84,(5,6)=89,(0,1)=90,(2,3)=91,(4,6)=93,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=12 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 0}, Find(1)=1, Find(4)=1, Add (1,4)=14 Failed, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=19 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=5, Add (2,5)=21 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=24 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=84 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=89 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=93 Failed, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,14],[0,2,89],[0,4,36],[0,5,75],[0,6,14],[1,4,93],[1,5,12],[1,6,30],[1,7,18],[2,3,61],[2,4,26],[2,6,33],[2,7,46],[3,4,4],[3,5,64],[4,5,69],[4,6,66],[4,7,88],[5,6,21],[5,7,81],[6,7,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,89],[0,4,36],[0,5,75],[0,6,14],[1,4,93],[1,5,12],[1,6,30],[1,7,18],[2,3,61],[2,4,26],[2,6,33],[2,7,46],[3,4,4],[3,5,64],[4,5,69],[4,6,66],[4,7,88],[5,6,21],[5,7,81],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,89],[0,4,36],[0,5,75],[0,6,14],[1,4,93],[1,5,12],[1,6,30],[1,7,18],[2,3,61],[2,4,26],[2,6,33],[2,7,46],[3,4,4],[3,5,64],[4,5,69],[4,6,66],[4,7,88],[5,6,21],[5,7,81],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (1,7)\",\"Add (2,4)\",\"Add (2,6)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,89],[0,4,36],[0,5,75],[0,6,14],[1,4,93],[1,5,12],[1,6,30],[1,7,18],[2,3,61],[2,4,26],[2,6,33],[2,7,46],[3,4,4],[3,5,64],[4,5,69],[4,6,66],[4,7,88],[5,6,21],[5,7,81],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (1,5)=12, w=16\",\"Add (0,1)=14, w=30\",\"Add (0,6)=14, w=44\",\"Add (1,7)=18, w=62\",\"Add (2,4)=26, w=88\",\"Add (2,6)=33, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,89],[0,4,36],[0,5,75],[0,6,14],[1,4,93],[1,5,12],[1,6,30],[1,7,18],[2,3,61],[2,4,26],[2,6,33],[2,7,46],[3,4,4],[3,5,64],[4,5,69],[4,6,66],[4,7,88],[5,6,21],[5,7,81],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (1,5)=12 Succeeded, w=16\",\"Add (0,1)=14 Succeeded, w=30\",\"Add (0,6)=14 Succeeded, w=44\",\"Add (1,7)=18 Succeeded, w=62\",\"Add (5,6)=21 Failed, w=62\",\"Add (2,4)=26 Succeeded, w=88\",\"Add (1,6)=30 Failed, w=88\",\"Add (2,6)=33 Succeeded, w=121\",\"Add (0,4)=36 Failed, w=121\",\"Add (2,7)=46 Failed, w=121\",\"Add (2,3)=61 Failed, w=121\",\"Add (3,5)=64 Failed, w=121\",\"Add (4,6)=66 Failed, w=121\",\"Add (4,5)=69 Failed, w=121\",\"Add (0,5)=75 Failed, w=121\",\"Add (5,7)=81 Failed, w=121\",\"Add (6,7)=83 Failed, w=121\",\"Add (4,7)=88 Failed, w=121\",\"Add (0,2)=89 Failed, w=121\",\"Add (1,4)=93 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,89],[0,4,36],[0,5,75],[0,6,14],[1,4,93],[1,5,12],[1,6,30],[1,7,18],[2,3,61],[2,4,26],[2,6,33],[2,7,46],[3,4,4],[3,5,64],[4,5,69],[4,6,66],[4,7,88],[5,6,21],[5,7,81],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,5)=12,(0,1)=14,(0,6)=14,(1,7)=18,(5,6)=21,(2,4)=26,(1,6)=30,(2,6)=33,(0,4)=36,(2,7)=46,(2,3)=61,(3,5)=64,(4,6)=66,(4,5)=69,(0,5)=75,(5,7)=81,(6,7)=83,(4,7)=88,(0,2)=89,(1,4)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=30\",\"Find(0)=1, Find(6)=6, Add (0,6)=14 Succeeded, w=44\",\"Find(1)=1, Find(7)=7, Add (1,7)=18 Succeeded, w=62\",\"Find(5)=1, Find(6)=1, Add (5,6)=21 Failed, w=62\",\"Find(2)=2, Find(4)=3, Add (2,4)=26 Succeeded, w=88\",\"Find(1)=1, Find(6)=1, Add (1,6)=30 Failed, w=88\",\"Find(2)=3, Find(6)=1, Add (2,6)=33 Succeeded, w=121\",\"Find(0)=3, Find(4)=3, Add (0,4)=36 Failed, w=121\",\"Find(2)=3, Find(7)=3, Add (2,7)=46 Failed, w=121\",\"Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=121\",\"Find(3)=3, Find(5)=3, Add (3,5)=64 Failed, w=121\",\"Find(4)=3, Find(6)=3, Add (4,6)=66 Failed, w=121\",\"Find(4)=3, Find(5)=3, Add (4,5)=69 Failed, w=121\",\"Find(0)=3, Find(5)=3, Add (0,5)=75 Failed, w=121\",\"Find(5)=3, Find(7)=3, Add (5,7)=81 Failed, w=121\",\"Find(6)=3, Find(7)=3, Add (6,7)=83 Failed, w=121\",\"Find(4)=3, Find(7)=3, Add (4,7)=88 Failed, w=121\",\"Find(0)=3, Find(2)=3, Add (0,2)=89 Failed, w=121\",\"Find(1)=3, Find(4)=3, Add (1,4)=93 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,89],[0,4,36],[0,5,75],[0,6,14],[1,4,93],[1,5,12],[1,6,30],[1,7,18],[2,3,61],[2,4,26],[2,6,33],[2,7,46],[3,4,4],[3,5,64],[4,5,69],[4,6,66],[4,7,88],[5,6,21],[5,7,81],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,5)=12,(0,1)=14,(0,6)=14,(1,7)=18,(5,6)=21,(2,4)=26,(1,6)=30,(2,6)=33,(0,4)=36,(2,7)=46,(2,3)=61,(3,5)=64,(4,6)=66,(4,5)=69,(0,5)=75,(5,7)=81,(6,7)=83,(4,7)=88,(0,2)=89,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(6)=6, Add (0,6)=14 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=18 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=21 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(4)=3, Add (2,4)=26 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=30 Failed, w=88\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1, 7: 1}, Find(2)=3, Find(6)=1, Add (2,6)=33 Succeeded, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1, 7: 1}, Find(0)=3, Find(4)=3, Add (0,4)=36 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=46 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 1, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=64 Failed, w=121\",\"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)=66 Failed, w=121\",\"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)=69 Failed, w=121\",\"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)=75 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=81 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=83 Failed, w=121\",\"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)=88 Failed, w=121\",\"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)=89 Failed, w=121\",\"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)=93 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,47],[0,2,70],[0,3,92],[0,4,22],[1,2,68],[1,3,89],[1,4,51],[2,3,5],[3,4,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,70],[0,3,92],[0,4,22],[1,2,68],[1,3,89],[1,4,51],[2,3,5],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,70],[0,3,92],[0,4,22],[1,2,68],[1,3,89],[1,4,51],[2,3,5],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,70],[0,3,92],[0,4,22],[1,2,68],[1,3,89],[1,4,51],[2,3,5],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (0,4)=22, w=27\",\"Add (3,4)=25, w=52\",\"Add (0,1)=47, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,70],[0,3,92],[0,4,22],[1,2,68],[1,3,89],[1,4,51],[2,3,5],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,4)=22 Succeeded, w=27\",\"Add (3,4)=25 Succeeded, w=52\",\"Add (0,1)=47 Succeeded, w=99\",\"Add (1,4)=51 Failed, w=99\",\"Add (1,2)=68 Failed, w=99\",\"Add (0,2)=70 Failed, w=99\",\"Add (1,3)=89 Failed, w=99\",\"Add (0,3)=92 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,70],[0,3,92],[0,4,22],[1,2,68],[1,3,89],[1,4,51],[2,3,5],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,4)=22,(3,4)=25,(0,1)=47,(1,4)=51,(1,2)=68,(0,2)=70,(1,3)=89,(0,3)=92]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=27\",\"Find(3)=2, Find(4)=0, Add (3,4)=25 Succeeded, w=52\",\"Find(0)=2, Find(1)=1, Add (0,1)=47 Succeeded, w=99\",\"Find(1)=2, Find(4)=2, Add (1,4)=51 Failed, w=99\",\"Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=99\",\"Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=99\",\"Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=99\",\"Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,70],[0,3,92],[0,4,22],[1,2,68],[1,3,89],[1,4,51],[2,3,5],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,4)=22,(3,4)=25,(0,1)=47,(1,4)=51,(1,2)=68,(0,2)=70,(1,3)=89,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0}, Find(3)=2, Find(4)=0, Add (3,4)=25 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(1)=1, Add (0,1)=47 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=51 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,60],[0,2,99],[0,3,12],[0,4,12],[0,5,74],[0,6,19],[1,3,56],[1,4,43],[1,6,45],[2,3,14],[2,4,59],[2,6,46],[3,4,0],[3,5,23],[3,6,78],[4,5,90],[4,6,39],[5,6,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,99],[0,3,12],[0,4,12],[0,5,74],[0,6,19],[1,3,56],[1,4,43],[1,6,45],[2,3,14],[2,4,59],[2,6,46],[3,4,0],[3,5,23],[3,6,78],[4,5,90],[4,6,39],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,99],[0,3,12],[0,4,12],[0,5,74],[0,6,19],[1,3,56],[1,4,43],[1,6,45],[2,3,14],[2,4,59],[2,6,46],[3,4,0],[3,5,23],[3,6,78],[4,5,90],[4,6,39],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (5,6)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (1,4)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,99],[0,3,12],[0,4,12],[0,5,74],[0,6,19],[1,3,56],[1,4,43],[1,6,45],[2,3,14],[2,4,59],[2,6,46],[3,4,0],[3,5,23],[3,6,78],[4,5,90],[4,6,39],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (5,6)=5, w=5\",\"Add (0,3)=12, w=17\",\"Add (2,3)=14, w=31\",\"Add (0,6)=19, w=50\",\"Add (1,4)=43, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,99],[0,3,12],[0,4,12],[0,5,74],[0,6,19],[1,3,56],[1,4,43],[1,6,45],[2,3,14],[2,4,59],[2,6,46],[3,4,0],[3,5,23],[3,6,78],[4,5,90],[4,6,39],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (5,6)=5 Succeeded, w=5\",\"Add (0,3)=12 Succeeded, w=17\",\"Add (0,4)=12 Failed, w=17\",\"Add (2,3)=14 Succeeded, w=31\",\"Add (0,6)=19 Succeeded, w=50\",\"Add (3,5)=23 Failed, w=50\",\"Add (4,6)=39 Failed, w=50\",\"Add (1,4)=43 Succeeded, w=93\",\"Add (1,6)=45 Failed, w=93\",\"Add (2,6)=46 Failed, w=93\",\"Add (1,3)=56 Failed, w=93\",\"Add (2,4)=59 Failed, w=93\",\"Add (0,1)=60 Failed, w=93\",\"Add (0,5)=74 Failed, w=93\",\"Add (3,6)=78 Failed, w=93\",\"Add (4,5)=90 Failed, w=93\",\"Add (0,2)=99 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,99],[0,3,12],[0,4,12],[0,5,74],[0,6,19],[1,3,56],[1,4,43],[1,6,45],[2,3,14],[2,4,59],[2,6,46],[3,4,0],[3,5,23],[3,6,78],[4,5,90],[4,6,39],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(5,6)=5,(0,3)=12,(0,4)=12,(2,3)=14,(0,6)=19,(3,5)=23,(4,6)=39,(1,4)=43,(1,6)=45,(2,6)=46,(1,3)=56,(2,4)=59,(0,1)=60,(0,5)=74,(3,6)=78,(4,5)=90,(0,2)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=17\",\"Find(0)=3, Find(4)=3, Add (0,4)=12 Failed, w=17\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=31\",\"Find(0)=3, Find(6)=5, Add (0,6)=19 Succeeded, w=50\",\"Find(3)=3, Find(5)=3, Add (3,5)=23 Failed, w=50\",\"Find(4)=3, Find(6)=3, Add (4,6)=39 Failed, w=50\",\"Find(1)=1, Find(4)=3, Add (1,4)=43 Succeeded, w=93\",\"Find(1)=3, Find(6)=3, Add (1,6)=45 Failed, w=93\",\"Find(2)=3, Find(6)=3, Add (2,6)=46 Failed, w=93\",\"Find(1)=3, Find(3)=3, Add (1,3)=56 Failed, w=93\",\"Find(2)=3, Find(4)=3, Add (2,4)=59 Failed, w=93\",\"Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=93\",\"Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=93\",\"Find(3)=3, Find(6)=3, Add (3,6)=78 Failed, w=93\",\"Find(4)=3, Find(5)=3, Add (4,5)=90 Failed, w=93\",\"Find(0)=3, Find(2)=3, Add (0,2)=99 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,60],[0,2,99],[0,3,12],[0,4,12],[0,5,74],[0,6,19],[1,3,56],[1,4,43],[1,6,45],[2,3,14],[2,4,59],[2,6,46],[3,4,0],[3,5,23],[3,6,78],[4,5,90],[4,6,39],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(5,6)=5,(0,3)=12,(0,4)=12,(2,3)=14,(0,6)=19,(3,5)=23,(4,6)=39,(1,4)=43,(1,6)=45,(2,6)=46,(1,3)=56,(2,4)=59,(0,1)=60,(0,5)=74,(3,6)=78,(4,5)=90,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=17\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(0)=3, Find(4)=3, Add (0,4)=12 Failed, w=17\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=31\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(0)=3, Find(6)=5, Add (0,6)=19 Succeeded, w=50\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(3)=3, Find(5)=3, Add (3,5)=23 Failed, w=50\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=39 Failed, w=50\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(4)=3, Add (1,4)=43 Succeeded, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=45 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=46 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=56 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=59 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=78 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=90 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=99 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,15],[0,2,78],[0,3,58],[0,6,3],[0,7,30],[1,2,9],[1,3,19],[1,4,21],[1,5,31],[1,6,57],[1,7,12],[2,4,72],[2,5,31],[2,6,89],[2,7,76],[3,4,91],[3,5,66],[3,7,47],[4,5,1],[4,6,70],[5,6,58],[5,7,30],[6,7,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,78],[0,3,58],[0,6,3],[0,7,30],[1,2,9],[1,3,19],[1,4,21],[1,5,31],[1,6,57],[1,7,12],[2,4,72],[2,5,31],[2,6,89],[2,7,76],[3,4,91],[3,5,66],[3,7,47],[4,5,1],[4,6,70],[5,6,58],[5,7,30],[6,7,6]]}",
"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\":[[0,1,15],[0,2,78],[0,3,58],[0,6,3],[0,7,30],[1,2,9],[1,3,19],[1,4,21],[1,5,31],[1,6,57],[1,7,12],[2,4,72],[2,5,31],[2,6,89],[2,7,76],[3,4,91],[3,5,66],[3,7,47],[4,5,1],[4,6,70],[5,6,58],[5,7,30],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,6)\",\"Add (6,7)\",\"Add (1,2)\",\"Add (1,7)\",\"Add (1,3)\",\"Add (1,4)\"],\"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\":[[0,1,15],[0,2,78],[0,3,58],[0,6,3],[0,7,30],[1,2,9],[1,3,19],[1,4,21],[1,5,31],[1,6,57],[1,7,12],[2,4,72],[2,5,31],[2,6,89],[2,7,76],[3,4,91],[3,5,66],[3,7,47],[4,5,1],[4,6,70],[5,6,58],[5,7,30],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (0,6)=3, w=4\",\"Add (6,7)=6, w=10\",\"Add (1,2)=9, w=19\",\"Add (1,7)=12, w=31\",\"Add (1,3)=19, w=50\",\"Add (1,4)=21, 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\":[[0,1,15],[0,2,78],[0,3,58],[0,6,3],[0,7,30],[1,2,9],[1,3,19],[1,4,21],[1,5,31],[1,6,57],[1,7,12],[2,4,72],[2,5,31],[2,6,89],[2,7,76],[3,4,91],[3,5,66],[3,7,47],[4,5,1],[4,6,70],[5,6,58],[5,7,30],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (0,6)=3 Succeeded, w=4\",\"Add (6,7)=6 Succeeded, w=10\",\"Add (1,2)=9 Succeeded, w=19\",\"Add (1,7)=12 Succeeded, w=31\",\"Add (0,1)=15 Failed, w=31\",\"Add (1,3)=19 Succeeded, w=50\",\"Add (1,4)=21 Succeeded, w=71\",\"Add (0,7)=30 Failed, w=71\",\"Add (5,7)=30 Failed, w=71\",\"Add (1,5)=31 Failed, w=71\",\"Add (2,5)=31 Failed, w=71\",\"Add (3,7)=47 Failed, w=71\",\"Add (1,6)=57 Failed, w=71\",\"Add (0,3)=58 Failed, w=71\",\"Add (5,6)=58 Failed, w=71\",\"Add (3,5)=66 Failed, w=71\",\"Add (4,6)=70 Failed, w=71\",\"Add (2,4)=72 Failed, w=71\",\"Add (2,7)=76 Failed, w=71\",\"Add (0,2)=78 Failed, w=71\",\"Add (2,6)=89 Failed, w=71\",\"Add (3,4)=91 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\":[[0,1,15],[0,2,78],[0,3,58],[0,6,3],[0,7,30],[1,2,9],[1,3,19],[1,4,21],[1,5,31],[1,6,57],[1,7,12],[2,4,72],[2,5,31],[2,6,89],[2,7,76],[3,4,91],[3,5,66],[3,7,47],[4,5,1],[4,6,70],[5,6,58],[5,7,30],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,6)=3,(6,7)=6,(1,2)=9,(1,7)=12,(0,1)=15,(1,3)=19,(1,4)=21,(0,7)=30,(5,7)=30,(1,5)=31,(2,5)=31,(3,7)=47,(1,6)=57,(0,3)=58,(5,6)=58,(3,5)=66,(4,6)=70,(2,4)=72,(2,7)=76,(0,2)=78,(2,6)=89,(3,4)=91]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=4\",\"Find(6)=0, Find(7)=7, Add (6,7)=6 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=19\",\"Find(1)=1, Find(7)=0, Add (1,7)=12 Succeeded, w=31\",\"Find(0)=1, Find(1)=1, Add (0,1)=15 Failed, w=31\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=50\",\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=71\",\"Find(0)=1, Find(7)=1, Add (0,7)=30 Failed, w=71\",\"Find(5)=1, Find(7)=1, Add (5,7)=30 Failed, w=71\",\"Find(1)=1, Find(5)=1, Add (1,5)=31 Failed, w=71\",\"Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=71\",\"Find(3)=1, Find(7)=1, Add (3,7)=47 Failed, w=71\",\"Find(1)=1, Find(6)=1, Add (1,6)=57 Failed, w=71\",\"Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=71\",\"Find(5)=1, Find(6)=1, Add (5,6)=58 Failed, w=71\",\"Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=71\",\"Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=71\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=71\",\"Find(2)=1, Find(7)=1, Add (2,7)=76 Failed, w=71\",\"Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=71\",\"Find(2)=1, Find(6)=1, Add (2,6)=89 Failed, w=71\",\"Find(3)=1, Find(4)=1, Add (3,4)=91 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\":[[0,1,15],[0,2,78],[0,3,58],[0,6,3],[0,7,30],[1,2,9],[1,3,19],[1,4,21],[1,5,31],[1,6,57],[1,7,12],[2,4,72],[2,5,31],[2,6,89],[2,7,76],[3,4,91],[3,5,66],[3,7,47],[4,5,1],[4,6,70],[5,6,58],[5,7,30],[6,7,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,6)=3,(6,7)=6,(1,2)=9,(1,7)=12,(0,1)=15,(1,3)=19,(1,4)=21,(0,7)=30,(5,7)=30,(1,5)=31,(2,5)=31,(3,7)=47,(1,6)=57,(0,3)=58,(5,6)=58,(3,5)=66,(4,6)=70,(2,4)=72,(2,7)=76,(0,2)=78,(2,6)=89,(3,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 0, 7: 0}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=12 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 0, 7: 0}, Find(0)=1, Find(1)=1, Add (0,1)=15 Failed, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 0, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 0, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 0, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=30 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=30 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=31 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=47 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=57 Failed, w=71\",\"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)=58 Failed, w=71\",\"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)=58 Failed, w=71\",\"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)=66 Failed, w=71\",\"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)=70 Failed, w=71\",\"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)=72 Failed, w=71\",\"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)=76 Failed, w=71\",\"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)=78 Failed, w=71\",\"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)=89 Failed, w=71\",\"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)=91 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,82],[0,2,93],[0,3,75],[0,4,53],[0,5,54],[0,6,9],[0,7,61],[1,2,66],[1,3,61],[1,4,31],[1,5,3],[1,6,38],[1,7,62],[2,3,99],[2,4,72],[2,5,93],[2,6,36],[2,7,32],[3,4,74],[3,5,33],[3,6,23],[3,7,77],[4,5,52],[4,6,44],[4,7,57],[5,6,85],[5,7,48],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,93],[0,3,75],[0,4,53],[0,5,54],[0,6,9],[0,7,61],[1,2,66],[1,3,61],[1,4,31],[1,5,3],[1,6,38],[1,7,62],[2,3,99],[2,4,72],[2,5,93],[2,6,36],[2,7,32],[3,4,74],[3,5,33],[3,6,23],[3,7,77],[4,5,52],[4,6,44],[4,7,57],[5,6,85],[5,7,48],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,93],[0,3,75],[0,4,53],[0,5,54],[0,6,9],[0,7,61],[1,2,66],[1,3,61],[1,4,31],[1,5,3],[1,6,38],[1,7,62],[2,3,99],[2,4,72],[2,5,93],[2,6,36],[2,7,32],[3,4,74],[3,5,33],[3,6,23],[3,7,77],[4,5,52],[4,6,44],[4,7,57],[5,6,85],[5,7,48],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,6)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (2,7)\",\"Add (3,5)\",\"Add (2,6)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,93],[0,3,75],[0,4,53],[0,5,54],[0,6,9],[0,7,61],[1,2,66],[1,3,61],[1,4,31],[1,5,3],[1,6,38],[1,7,62],[2,3,99],[2,4,72],[2,5,93],[2,6,36],[2,7,32],[3,4,74],[3,5,33],[3,6,23],[3,7,77],[4,5,52],[4,6,44],[4,7,57],[5,6,85],[5,7,48],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (0,6)=9, w=12\",\"Add (3,6)=23, w=35\",\"Add (1,4)=31, w=66\",\"Add (2,7)=32, w=98\",\"Add (3,5)=33, w=131\",\"Add (2,6)=36, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,93],[0,3,75],[0,4,53],[0,5,54],[0,6,9],[0,7,61],[1,2,66],[1,3,61],[1,4,31],[1,5,3],[1,6,38],[1,7,62],[2,3,99],[2,4,72],[2,5,93],[2,6,36],[2,7,32],[3,4,74],[3,5,33],[3,6,23],[3,7,77],[4,5,52],[4,6,44],[4,7,57],[5,6,85],[5,7,48],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (0,6)=9 Succeeded, w=12\",\"Add (3,6)=23 Succeeded, w=35\",\"Add (1,4)=31 Succeeded, w=66\",\"Add (2,7)=32 Succeeded, w=98\",\"Add (3,5)=33 Succeeded, w=131\",\"Add (2,6)=36 Succeeded, w=167\",\"Add (1,6)=38 Failed, w=167\",\"Add (4,6)=44 Failed, w=167\",\"Add (5,7)=48 Failed, w=167\",\"Add (4,5)=52 Failed, w=167\",\"Add (0,4)=53 Failed, w=167\",\"Add (6,7)=53 Failed, w=167\",\"Add (0,5)=54 Failed, w=167\",\"Add (4,7)=57 Failed, w=167\",\"Add (0,7)=61 Failed, w=167\",\"Add (1,3)=61 Failed, w=167\",\"Add (1,7)=62 Failed, w=167\",\"Add (1,2)=66 Failed, w=167\",\"Add (2,4)=72 Failed, w=167\",\"Add (3,4)=74 Failed, w=167\",\"Add (0,3)=75 Failed, w=167\",\"Add (3,7)=77 Failed, w=167\",\"Add (0,1)=82 Failed, w=167\",\"Add (5,6)=85 Failed, w=167\",\"Add (0,2)=93 Failed, w=167\",\"Add (2,5)=93 Failed, w=167\",\"Add (2,3)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,93],[0,3,75],[0,4,53],[0,5,54],[0,6,9],[0,7,61],[1,2,66],[1,3,61],[1,4,31],[1,5,3],[1,6,38],[1,7,62],[2,3,99],[2,4,72],[2,5,93],[2,6,36],[2,7,32],[3,4,74],[3,5,33],[3,6,23],[3,7,77],[4,5,52],[4,6,44],[4,7,57],[5,6,85],[5,7,48],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,6)=9,(3,6)=23,(1,4)=31,(2,7)=32,(3,5)=33,(2,6)=36,(1,6)=38,(4,6)=44,(5,7)=48,(4,5)=52,(0,4)=53,(6,7)=53,(0,5)=54,(4,7)=57,(0,7)=61,(1,3)=61,(1,7)=62,(1,2)=66,(2,4)=72,(3,4)=74,(0,3)=75,(3,7)=77,(0,1)=82,(5,6)=85,(0,2)=93,(2,5)=93,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=12\",\"Find(3)=3, Find(6)=0, Add (3,6)=23 Succeeded, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=66\",\"Find(2)=2, Find(7)=7, Add (2,7)=32 Succeeded, w=98\",\"Find(3)=0, Find(5)=1, Add (3,5)=33 Succeeded, w=131\",\"Find(2)=2, Find(6)=0, Add (2,6)=36 Succeeded, w=167\",\"Find(1)=0, Find(6)=0, Add (1,6)=38 Failed, w=167\",\"Find(4)=0, Find(6)=0, Add (4,6)=44 Failed, w=167\",\"Find(5)=0, Find(7)=0, Add (5,7)=48 Failed, w=167\",\"Find(4)=0, Find(5)=0, Add (4,5)=52 Failed, w=167\",\"Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=167\",\"Find(6)=0, Find(7)=0, Add (6,7)=53 Failed, w=167\",\"Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=167\",\"Find(4)=0, Find(7)=0, Add (4,7)=57 Failed, w=167\",\"Find(0)=0, Find(7)=0, Add (0,7)=61 Failed, w=167\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=167\",\"Find(1)=0, Find(7)=0, Add (1,7)=62 Failed, w=167\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=167\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=167\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=167\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=167\",\"Find(3)=0, Find(7)=0, Add (3,7)=77 Failed, w=167\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=167\",\"Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=167\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=167\",\"Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=167\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,93],[0,3,75],[0,4,53],[0,5,54],[0,6,9],[0,7,61],[1,2,66],[1,3,61],[1,4,31],[1,5,3],[1,6,38],[1,7,62],[2,3,99],[2,4,72],[2,5,93],[2,6,36],[2,7,32],[3,4,74],[3,5,33],[3,6,23],[3,7,77],[4,5,52],[4,6,44],[4,7,57],[5,6,85],[5,7,48],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,6)=9,(3,6)=23,(1,4)=31,(2,7)=32,(3,5)=33,(2,6)=36,(1,6)=38,(4,6)=44,(5,7)=48,(4,5)=52,(0,4)=53,(6,7)=53,(0,5)=54,(4,7)=57,(0,7)=61,(1,3)=61,(1,7)=62,(1,2)=66,(2,4)=72,(3,4)=74,(0,3)=75,(3,7)=77,(0,1)=82,(5,6)=85,(0,2)=93,(2,5)=93,(2,3)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 0, 7: 7}, Find(3)=3, Find(6)=0, Add (3,6)=23 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 0, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=32 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 1, 6: 0, 7: 2}, Find(3)=0, Find(5)=1, Add (3,5)=33 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0, 7: 2}, Find(2)=2, Find(6)=0, Add (2,6)=36 Succeeded, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0, 7: 2}, Find(1)=0, Find(6)=0, Add (1,6)=38 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 2}, Find(4)=0, Find(6)=0, Add (4,6)=44 Failed, w=167\",\"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)=48 Failed, w=167\",\"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)=52 Failed, w=167\",\"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)=53 Failed, w=167\",\"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)=53 Failed, w=167\",\"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)=54 Failed, w=167\",\"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)=57 Failed, w=167\",\"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)=61 Failed, w=167\",\"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)=61 Failed, w=167\",\"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)=62 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=167\",\"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)=75 Failed, w=167\",\"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)=77 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=167\",\"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=167\",\"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)=93 Failed, w=167\",\"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=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,94],[0,4,31],[0,5,73],[0,6,52],[0,7,89],[1,2,36],[1,3,84],[1,4,48],[1,5,59],[1,6,8],[1,7,63],[2,3,34],[2,4,52],[2,5,47],[2,7,95],[3,4,30],[3,5,26],[3,6,10],[3,7,52],[4,5,87],[4,6,4],[4,7,84],[5,7,68],[6,7,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,4,31],[0,5,73],[0,6,52],[0,7,89],[1,2,36],[1,3,84],[1,4,48],[1,5,59],[1,6,8],[1,7,63],[2,3,34],[2,4,52],[2,5,47],[2,7,95],[3,4,30],[3,5,26],[3,6,10],[3,7,52],[4,5,87],[4,6,4],[4,7,84],[5,7,68],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,4,31],[0,5,73],[0,6,52],[0,7,89],[1,2,36],[1,3,84],[1,4,48],[1,5,59],[1,6,8],[1,7,63],[2,3,34],[2,4,52],[2,5,47],[2,7,95],[3,4,30],[3,5,26],[3,6,10],[3,7,52],[4,5,87],[4,6,4],[4,7,84],[5,7,68],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (3,7)\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,4,31],[0,5,73],[0,6,52],[0,7,89],[1,2,36],[1,3,84],[1,4,48],[1,5,59],[1,6,8],[1,7,63],[2,3,34],[2,4,52],[2,5,47],[2,7,95],[3,4,30],[3,5,26],[3,6,10],[3,7,52],[4,5,87],[4,6,4],[4,7,84],[5,7,68],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=4, w=4\",\"Add (1,6)=8, w=12\",\"Add (3,6)=10, w=22\",\"Add (3,5)=26, w=48\",\"Add (0,4)=31, w=79\",\"Add (2,3)=34, w=113\",\"Add (3,7)=52, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,4,31],[0,5,73],[0,6,52],[0,7,89],[1,2,36],[1,3,84],[1,4,48],[1,5,59],[1,6,8],[1,7,63],[2,3,34],[2,4,52],[2,5,47],[2,7,95],[3,4,30],[3,5,26],[3,6,10],[3,7,52],[4,5,87],[4,6,4],[4,7,84],[5,7,68],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=4 Succeeded, w=4\",\"Add (1,6)=8 Succeeded, w=12\",\"Add (3,6)=10 Succeeded, w=22\",\"Add (3,5)=26 Succeeded, w=48\",\"Add (3,4)=30 Failed, w=48\",\"Add (0,4)=31 Succeeded, w=79\",\"Add (2,3)=34 Succeeded, w=113\",\"Add (1,2)=36 Failed, w=113\",\"Add (2,5)=47 Failed, w=113\",\"Add (1,4)=48 Failed, w=113\",\"Add (0,6)=52 Failed, w=113\",\"Add (2,4)=52 Failed, w=113\",\"Add (3,7)=52 Succeeded, w=165\",\"Add (1,5)=59 Failed, w=165\",\"Add (1,7)=63 Failed, w=165\",\"Add (5,7)=68 Failed, w=165\",\"Add (0,5)=73 Failed, w=165\",\"Add (1,3)=84 Failed, w=165\",\"Add (4,7)=84 Failed, w=165\",\"Add (4,5)=87 Failed, w=165\",\"Add (0,7)=89 Failed, w=165\",\"Add (0,1)=94 Failed, w=165\",\"Add (2,7)=95 Failed, w=165\",\"Add (6,7)=95 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,4,31],[0,5,73],[0,6,52],[0,7,89],[1,2,36],[1,3,84],[1,4,48],[1,5,59],[1,6,8],[1,7,63],[2,3,34],[2,4,52],[2,5,47],[2,7,95],[3,4,30],[3,5,26],[3,6,10],[3,7,52],[4,5,87],[4,6,4],[4,7,84],[5,7,68],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=4,(1,6)=8,(3,6)=10,(3,5)=26,(3,4)=30,(0,4)=31,(2,3)=34,(1,2)=36,(2,5)=47,(1,4)=48,(0,6)=52,(2,4)=52,(3,7)=52,(1,5)=59,(1,7)=63,(5,7)=68,(0,5)=73,(1,3)=84,(4,7)=84,(4,5)=87,(0,7)=89,(0,1)=94,(2,7)=95,(6,7)=95]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=4, Add (1,6)=8 Succeeded, w=12\",\"Find(3)=3, Find(6)=4, Add (3,6)=10 Succeeded, w=22\",\"Find(3)=4, Find(5)=5, Add (3,5)=26 Succeeded, w=48\",\"Find(3)=4, Find(4)=4, Add (3,4)=30 Failed, w=48\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=79\",\"Find(2)=2, Find(3)=4, Add (2,3)=34 Succeeded, w=113\",\"Find(1)=4, Find(2)=4, Add (1,2)=36 Failed, w=113\",\"Find(2)=4, Find(5)=4, Add (2,5)=47 Failed, w=113\",\"Find(1)=4, Find(4)=4, Add (1,4)=48 Failed, w=113\",\"Find(0)=4, Find(6)=4, Add (0,6)=52 Failed, w=113\",\"Find(2)=4, Find(4)=4, Add (2,4)=52 Failed, w=113\",\"Find(3)=4, Find(7)=7, Add (3,7)=52 Succeeded, w=165\",\"Find(1)=4, Find(5)=4, Add (1,5)=59 Failed, w=165\",\"Find(1)=4, Find(7)=4, Add (1,7)=63 Failed, w=165\",\"Find(5)=4, Find(7)=4, Add (5,7)=68 Failed, w=165\",\"Find(0)=4, Find(5)=4, Add (0,5)=73 Failed, w=165\",\"Find(1)=4, Find(3)=4, Add (1,3)=84 Failed, w=165\",\"Find(4)=4, Find(7)=4, Add (4,7)=84 Failed, w=165\",\"Find(4)=4, Find(5)=4, Add (4,5)=87 Failed, w=165\",\"Find(0)=4, Find(7)=4, Add (0,7)=89 Failed, w=165\",\"Find(0)=4, Find(1)=4, Add (0,1)=94 Failed, w=165\",\"Find(2)=4, Find(7)=4, Add (2,7)=95 Failed, w=165\",\"Find(6)=4, Find(7)=4, Add (6,7)=95 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,4,31],[0,5,73],[0,6,52],[0,7,89],[1,2,36],[1,3,84],[1,4,48],[1,5,59],[1,6,8],[1,7,63],[2,3,34],[2,4,52],[2,5,47],[2,7,95],[3,4,30],[3,5,26],[3,6,10],[3,7,52],[4,5,87],[4,6,4],[4,7,84],[5,7,68],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=4,(1,6)=8,(3,6)=10,(3,5)=26,(3,4)=30,(0,4)=31,(2,3)=34,(1,2)=36,(2,5)=47,(1,4)=48,(0,6)=52,(2,4)=52,(3,7)=52,(1,5)=59,(1,7)=63,(5,7)=68,(0,5)=73,(1,3)=84,(4,7)=84,(4,5)=87,(0,7)=89,(0,1)=94,(2,7)=95,(6,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(6)=4, Add (1,6)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(3)=3, Find(6)=4, Add (3,6)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(3)=4, Find(5)=5, Add (3,5)=26 Succeeded, w=48\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(3)=4, Find(4)=4, Add (3,4)=30 Failed, w=48\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=79\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=2, Find(3)=4, Add (2,3)=34 Succeeded, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(1)=4, Find(2)=4, Add (1,2)=36 Failed, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=4, Find(5)=4, Add (2,5)=47 Failed, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(1)=4, Find(4)=4, Add (1,4)=48 Failed, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=4, Find(6)=4, Add (0,6)=52 Failed, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=4, Find(4)=4, Add (2,4)=52 Failed, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=7, Add (3,7)=52 Succeeded, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=59 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=63 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=68 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=73 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=84 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=84 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(5)=4, Add (4,5)=87 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=89 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=94 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=95 Failed, w=165\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=95 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,46],[0,4,50],[1,2,91],[1,5,11],[1,6,81],[2,4,43],[2,6,2],[3,6,30],[4,5,10],[4,6,44],[4,7,19],[6,7,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,4,50],[1,2,91],[1,5,11],[1,6,81],[2,4,43],[2,6,2],[3,6,30],[4,5,10],[4,6,44],[4,7,19],[6,7,43]]}",
"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\":[[0,1,46],[0,4,50],[1,2,91],[1,5,11],[1,6,81],[2,4,43],[2,6,2],[3,6,30],[4,5,10],[4,6,44],[4,7,19],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (4,7)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (0,1)\"],\"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\":[[0,1,46],[0,4,50],[1,2,91],[1,5,11],[1,6,81],[2,4,43],[2,6,2],[3,6,30],[4,5,10],[4,6,44],[4,7,19],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2, w=2\",\"Add (4,5)=10, w=12\",\"Add (1,5)=11, w=23\",\"Add (4,7)=19, w=42\",\"Add (3,6)=30, w=72\",\"Add (2,4)=43, w=115\",\"Add (0,1)=46, 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\":[[0,1,46],[0,4,50],[1,2,91],[1,5,11],[1,6,81],[2,4,43],[2,6,2],[3,6,30],[4,5,10],[4,6,44],[4,7,19],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=2 Succeeded, w=2\",\"Add (4,5)=10 Succeeded, w=12\",\"Add (1,5)=11 Succeeded, w=23\",\"Add (4,7)=19 Succeeded, w=42\",\"Add (3,6)=30 Succeeded, w=72\",\"Add (2,4)=43 Succeeded, w=115\",\"Add (6,7)=43 Failed, w=115\",\"Add (4,6)=44 Failed, w=115\",\"Add (0,1)=46 Succeeded, w=161\",\"Add (0,4)=50 Failed, w=161\",\"Add (1,6)=81 Failed, w=161\",\"Add (1,2)=91 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\":[[0,1,46],[0,4,50],[1,2,91],[1,5,11],[1,6,81],[2,4,43],[2,6,2],[3,6,30],[4,5,10],[4,6,44],[4,7,19],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(4,5)=10,(1,5)=11,(4,7)=19,(3,6)=30,(2,4)=43,(6,7)=43,(4,6)=44,(0,1)=46,(0,4)=50,(1,6)=81,(1,2)=91]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=12\",\"Find(1)=1, Find(5)=4, Add (1,5)=11 Succeeded, w=23\",\"Find(4)=4, Find(7)=7, Add (4,7)=19 Succeeded, w=42\",\"Find(3)=3, Find(6)=2, Add (3,6)=30 Succeeded, w=72\",\"Find(2)=2, Find(4)=4, Add (2,4)=43 Succeeded, w=115\",\"Find(6)=2, Find(7)=2, Add (6,7)=43 Failed, w=115\",\"Find(4)=2, Find(6)=2, Add (4,6)=44 Failed, w=115\",\"Find(0)=0, Find(1)=2, Add (0,1)=46 Succeeded, w=161\",\"Find(0)=2, Find(4)=2, Add (0,4)=50 Failed, w=161\",\"Find(1)=2, Find(6)=2, Add (1,6)=81 Failed, w=161\",\"Find(1)=2, Find(2)=2, Add (1,2)=91 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\":[[0,1,46],[0,4,50],[1,2,91],[1,5,11],[1,6,81],[2,4,43],[2,6,2],[3,6,30],[4,5,10],[4,6,44],[4,7,19],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=2,(4,5)=10,(1,5)=11,(4,7)=19,(3,6)=30,(2,4)=43,(6,7)=43,(4,6)=44,(0,1)=46,(0,4)=50,(1,6)=81,(1,2)=91]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2, 7: 7}, Find(1)=1, Find(5)=4, Add (1,5)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=19 Succeeded, w=42\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2, 7: 4}, Find(3)=3, Find(6)=2, Add (3,6)=30 Succeeded, w=72\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 4}, Find(2)=2, Find(4)=4, Add (2,4)=43 Succeeded, w=115\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=43 Failed, w=115\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=44 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(0)=0, Find(1)=2, Add (0,1)=46 Succeeded, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=50 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=81 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,77],[0,4,71],[0,5,49],[1,2,30],[1,3,92],[1,4,77],[1,5,86],[1,6,14],[2,6,38],[3,4,37],[3,5,60],[3,6,48],[4,5,80],[4,6,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,4,71],[0,5,49],[1,2,30],[1,3,92],[1,4,77],[1,5,86],[1,6,14],[2,6,38],[3,4,37],[3,5,60],[3,6,48],[4,5,80],[4,6,30]]}",
"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],\"edges\":[[0,2,77],[0,4,71],[0,5,49],[1,2,30],[1,3,92],[1,4,77],[1,5,86],[1,6,14],[2,6,38],[3,4,37],[3,5,60],[3,6,48],[4,5,80],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (3,5)\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,4,71],[0,5,49],[1,2,30],[1,3,92],[1,4,77],[1,5,86],[1,6,14],[2,6,38],[3,4,37],[3,5,60],[3,6,48],[4,5,80],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=14, w=14\",\"Add (1,2)=30, w=44\",\"Add (4,6)=30, w=74\",\"Add (3,4)=37, w=111\",\"Add (0,5)=49, w=160\",\"Add (3,5)=60, 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],\"edges\":[[0,2,77],[0,4,71],[0,5,49],[1,2,30],[1,3,92],[1,4,77],[1,5,86],[1,6,14],[2,6,38],[3,4,37],[3,5,60],[3,6,48],[4,5,80],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=14 Succeeded, w=14\",\"Add (1,2)=30 Succeeded, w=44\",\"Add (4,6)=30 Succeeded, w=74\",\"Add (3,4)=37 Succeeded, w=111\",\"Add (2,6)=38 Failed, w=111\",\"Add (3,6)=48 Failed, w=111\",\"Add (0,5)=49 Succeeded, w=160\",\"Add (3,5)=60 Succeeded, w=220\",\"Add (0,4)=71 Failed, w=220\",\"Add (0,2)=77 Failed, w=220\",\"Add (1,4)=77 Failed, w=220\",\"Add (4,5)=80 Failed, w=220\",\"Add (1,5)=86 Failed, w=220\",\"Add (1,3)=92 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],\"edges\":[[0,2,77],[0,4,71],[0,5,49],[1,2,30],[1,3,92],[1,4,77],[1,5,86],[1,6,14],[2,6,38],[3,4,37],[3,5,60],[3,6,48],[4,5,80],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=14,(1,2)=30,(4,6)=30,(3,4)=37,(2,6)=38,(3,6)=48,(0,5)=49,(3,5)=60,(0,4)=71,(0,2)=77,(1,4)=77,(4,5)=80,(1,5)=86,(1,3)=92]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=44\",\"Find(4)=4, Find(6)=1, Add (4,6)=30 Succeeded, w=74\",\"Find(3)=3, Find(4)=1, Add (3,4)=37 Succeeded, w=111\",\"Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=111\",\"Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=111\",\"Find(0)=0, Find(5)=5, Add (0,5)=49 Succeeded, w=160\",\"Find(3)=1, Find(5)=0, Add (3,5)=60 Succeeded, w=220\",\"Find(0)=1, Find(4)=1, Add (0,4)=71 Failed, w=220\",\"Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=220\",\"Find(1)=1, Find(4)=1, Add (1,4)=77 Failed, w=220\",\"Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=220\",\"Find(1)=1, Find(5)=1, Add (1,5)=86 Failed, w=220\",\"Find(1)=1, Find(3)=1, Add (1,3)=92 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],\"edges\":[[0,2,77],[0,4,71],[0,5,49],[1,2,30],[1,3,92],[1,4,77],[1,5,86],[1,6,14],[2,6,38],[3,4,37],[3,5,60],[3,6,48],[4,5,80],[4,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=14,(1,2)=30,(4,6)=30,(3,4)=37,(2,6)=38,(3,6)=48,(0,5)=49,(3,5)=60,(0,4)=71,(0,2)=77,(1,4)=77,(4,5)=80,(1,5)=86,(1,3)=92]\",\"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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=30 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=3, Find(4)=1, Add (3,4)=37 Succeeded, w=111\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=111\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=111\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=49 Succeeded, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(5)=0, Add (3,5)=60 Succeeded, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=71 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=77 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=86 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,17],[0,2,72],[0,3,69],[1,2,24],[2,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,72],[0,3,69],[1,2,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,72],[0,3,69],[1,2,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,72],[0,3,69],[1,2,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17, w=17\",\"Add (1,2)=24, w=41\",\"Add (2,3)=55, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,72],[0,3,69],[1,2,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17 Succeeded, w=17\",\"Add (1,2)=24 Succeeded, w=41\",\"Add (2,3)=55 Succeeded, w=96\",\"Add (0,3)=69 Failed, w=96\",\"Add (0,2)=72 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,72],[0,3,69],[1,2,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(1,2)=24,(2,3)=55,(0,3)=69,(0,2)=72]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=41\",\"Find(2)=0, Find(3)=3, Add (2,3)=55 Succeeded, w=96\",\"Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=96\",\"Find(0)=0, Find(2)=0, Add (0,2)=72 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,2,72],[0,3,69],[1,2,24],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(1,2)=24,(2,3)=55,(0,3)=69,(0,2)=72]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=55 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=72 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,50],[0,3,95],[1,3,92],[1,4,98],[1,5,27],[2,3,59],[2,4,63],[2,5,19],[3,5,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,50],[0,3,95],[1,3,92],[1,4,98],[1,5,27],[2,3,59],[2,4,63],[2,5,19],[3,5,21]]}",
"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],\"edges\":[[0,2,50],[0,3,95],[1,3,92],[1,4,98],[1,5,27],[2,3,59],[2,4,63],[2,5,19],[3,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,50],[0,3,95],[1,3,92],[1,4,98],[1,5,27],[2,3,59],[2,4,63],[2,5,19],[3,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=19, w=19\",\"Add (3,5)=21, w=40\",\"Add (1,5)=27, w=67\",\"Add (0,2)=50, w=117\",\"Add (2,4)=63, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,50],[0,3,95],[1,3,92],[1,4,98],[1,5,27],[2,3,59],[2,4,63],[2,5,19],[3,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=19 Succeeded, w=19\",\"Add (3,5)=21 Succeeded, w=40\",\"Add (1,5)=27 Succeeded, w=67\",\"Add (0,2)=50 Succeeded, w=117\",\"Add (2,3)=59 Failed, w=117\",\"Add (2,4)=63 Succeeded, w=180\",\"Add (1,3)=92 Failed, w=180\",\"Add (0,3)=95 Failed, w=180\",\"Add (1,4)=98 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],\"edges\":[[0,2,50],[0,3,95],[1,3,92],[1,4,98],[1,5,27],[2,3,59],[2,4,63],[2,5,19],[3,5,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=19,(3,5)=21,(1,5)=27,(0,2)=50,(2,3)=59,(2,4)=63,(1,3)=92,(0,3)=95,(1,4)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=19\",\"Find(3)=3, Find(5)=2, Add (3,5)=21 Succeeded, w=40\",\"Find(1)=1, Find(5)=2, Add (1,5)=27 Succeeded, w=67\",\"Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=117\",\"Find(2)=2, Find(3)=2, Add (2,3)=59 Failed, w=117\",\"Find(2)=2, Find(4)=4, Add (2,4)=63 Succeeded, w=180\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=180\",\"Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=180\",\"Find(1)=2, Find(4)=2, Add (1,4)=98 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],\"edges\":[[0,2,50],[0,3,95],[1,3,92],[1,4,98],[1,5,27],[2,3,59],[2,4,63],[2,5,19],[3,5,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=19,(3,5)=21,(1,5)=27,(0,2)=50,(2,3)=59,(2,4)=63,(1,3)=92,(0,3)=95,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=27 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=59 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=63 Succeeded, w=180\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=180\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=180\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,73],[0,2,29],[0,3,81],[0,4,61],[1,2,100],[1,3,5],[1,4,48],[2,3,10],[2,4,33],[3,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,29],[0,3,81],[0,4,61],[1,2,100],[1,3,5],[1,4,48],[2,3,10],[2,4,33],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,29],[0,3,81],[0,4,61],[1,2,100],[1,3,5],[1,4,48],[2,3,10],[2,4,33],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,29],[0,3,81],[0,4,61],[1,2,100],[1,3,5],[1,4,48],[2,3,10],[2,4,33],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (2,3)=10, w=15\",\"Add (0,2)=29, w=44\",\"Add (2,4)=33, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,29],[0,3,81],[0,4,61],[1,2,100],[1,3,5],[1,4,48],[2,3,10],[2,4,33],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (2,3)=10 Succeeded, w=15\",\"Add (0,2)=29 Succeeded, w=44\",\"Add (2,4)=33 Succeeded, w=77\",\"Add (1,4)=48 Failed, w=77\",\"Add (3,4)=58 Failed, w=77\",\"Add (0,4)=61 Failed, w=77\",\"Add (0,1)=73 Failed, w=77\",\"Add (0,3)=81 Failed, w=77\",\"Add (1,2)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,29],[0,3,81],[0,4,61],[1,2,100],[1,3,5],[1,4,48],[2,3,10],[2,4,33],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=10,(0,2)=29,(2,4)=33,(1,4)=48,(3,4)=58,(0,4)=61,(0,1)=73,(0,3)=81,(1,2)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=1, Add (2,3)=10 Succeeded, w=15\",\"Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=44\",\"Find(2)=1, Find(4)=4, Add (2,4)=33 Succeeded, w=77\",\"Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=77\",\"Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=77\",\"Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=77\",\"Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=77\",\"Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=77\",\"Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,73],[0,2,29],[0,3,81],[0,4,61],[1,2,100],[1,3,5],[1,4,48],[2,3,10],[2,4,33],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,3)=10,(0,2)=29,(2,4)=33,(1,4)=48,(3,4)=58,(0,4)=61,(0,1)=73,(0,3)=81,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=10 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=33 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,3,45],[1,2,85],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,45],[1,2,85],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,45],[1,2,85],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,45],[1,2,85],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21, w=21\",\"Add (0,3)=45, w=66\",\"Add (0,1)=62, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,45],[1,2,85],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21 Succeeded, w=21\",\"Add (0,3)=45 Succeeded, w=66\",\"Add (0,1)=62 Succeeded, w=128\",\"Add (1,2)=85 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,45],[1,2,85],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,3)=45,(0,1)=62,(1,2)=85]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Find(0)=0, Find(3)=2, Add (0,3)=45 Succeeded, w=66\",\"Find(0)=2, Find(1)=1, Add (0,1)=62 Succeeded, w=128\",\"Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,45],[1,2,85],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(0,3)=45,(0,1)=62,(1,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=45 Succeeded, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=62 Succeeded, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,78],[0,2,90],[0,3,39],[1,2,14],[1,3,72],[2,3,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,90],[0,3,39],[1,2,14],[1,3,72],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,90],[0,3,39],[1,2,14],[1,3,72],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,90],[0,3,39],[1,2,14],[1,3,72],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14, w=14\",\"Add (0,3)=39, w=53\",\"Add (2,3)=64, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,90],[0,3,39],[1,2,14],[1,3,72],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14 Succeeded, w=14\",\"Add (0,3)=39 Succeeded, w=53\",\"Add (2,3)=64 Succeeded, w=117\",\"Add (1,3)=72 Failed, w=117\",\"Add (0,1)=78 Failed, w=117\",\"Add (0,2)=90 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,90],[0,3,39],[1,2,14],[1,3,72],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(0,3)=39,(2,3)=64,(1,3)=72,(0,1)=78,(0,2)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=53\",\"Find(2)=1, Find(3)=0, Add (2,3)=64 Succeeded, w=117\",\"Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=117\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=117\",\"Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,90],[0,3,39],[1,2,14],[1,3,72],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(0,3)=39,(2,3)=64,(1,3)=72,(0,1)=78,(0,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=64 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,39],[0,2,94],[0,3,64],[1,3,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,94],[0,3,64],[1,3,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,94],[0,3,64],[1,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,94],[0,3,64],[1,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=39, w=39\",\"Add (0,3)=64, w=103\",\"Add (0,2)=94, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,94],[0,3,64],[1,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=39 Succeeded, w=39\",\"Add (0,3)=64 Succeeded, w=103\",\"Add (0,2)=94 Succeeded, w=197\",\"Add (1,3)=97 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,94],[0,3,64],[1,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=39,(0,3)=64,(0,2)=94,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=39\",\"Find(0)=0, Find(3)=3, Add (0,3)=64 Succeeded, w=103\",\"Find(0)=0, Find(2)=2, Add (0,2)=94 Succeeded, w=197\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,94],[0,3,64],[1,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=39,(0,3)=64,(0,2)=94,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=64 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=94 Succeeded, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,2,49],[0,3,49],[1,2,44],[1,3,45],[2,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,49],[0,3,49],[1,2,44],[1,3,45],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,49],[0,3,49],[1,2,44],[1,3,45],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,49],[0,3,49],[1,2,44],[1,3,45],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13, w=13\",\"Add (1,2)=44, w=57\",\"Add (1,3)=45, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,49],[0,3,49],[1,2,44],[1,3,45],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13 Succeeded, w=13\",\"Add (1,2)=44 Succeeded, w=57\",\"Add (1,3)=45 Succeeded, w=102\",\"Add (0,2)=49 Failed, w=102\",\"Add (0,3)=49 Failed, w=102\",\"Add (2,3)=51 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,49],[0,3,49],[1,2,44],[1,3,45],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(1,2)=44,(1,3)=45,(0,2)=49,(0,3)=49,(2,3)=51]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Find(1)=0, Find(2)=2, Add (1,2)=44 Succeeded, w=57\",\"Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=102\",\"Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=102\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,49],[0,3,49],[1,2,44],[1,3,45],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(1,2)=44,(1,3)=45,(0,2)=49,(0,3)=49,(2,3)=51]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=44 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=45 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,20],[0,2,87],[0,3,11],[0,4,60],[0,5,83],[0,6,10],[1,2,29],[1,3,17],[1,4,72],[1,5,75],[1,6,83],[2,3,82],[2,4,85],[2,5,89],[2,6,75],[3,4,97],[3,5,98],[3,6,70],[4,5,12],[4,6,88],[5,6,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,87],[0,3,11],[0,4,60],[0,5,83],[0,6,10],[1,2,29],[1,3,17],[1,4,72],[1,5,75],[1,6,83],[2,3,82],[2,4,85],[2,5,89],[2,6,75],[3,4,97],[3,5,98],[3,6,70],[4,5,12],[4,6,88],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,87],[0,3,11],[0,4,60],[0,5,83],[0,6,10],[1,2,29],[1,3,17],[1,4,72],[1,5,75],[1,6,83],[2,3,82],[2,4,85],[2,5,89],[2,6,75],[3,4,97],[3,5,98],[3,6,70],[4,5,12],[4,6,88],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,87],[0,3,11],[0,4,60],[0,5,83],[0,6,10],[1,2,29],[1,3,17],[1,4,72],[1,5,75],[1,6,83],[2,3,82],[2,4,85],[2,5,89],[2,6,75],[3,4,97],[3,5,98],[3,6,70],[4,5,12],[4,6,88],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=10, w=10\",\"Add (0,3)=11, w=21\",\"Add (4,5)=12, w=33\",\"Add (1,3)=17, w=50\",\"Add (1,2)=29, w=79\",\"Add (0,4)=60, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,87],[0,3,11],[0,4,60],[0,5,83],[0,6,10],[1,2,29],[1,3,17],[1,4,72],[1,5,75],[1,6,83],[2,3,82],[2,4,85],[2,5,89],[2,6,75],[3,4,97],[3,5,98],[3,6,70],[4,5,12],[4,6,88],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=10 Succeeded, w=10\",\"Add (0,3)=11 Succeeded, w=21\",\"Add (4,5)=12 Succeeded, w=33\",\"Add (1,3)=17 Succeeded, w=50\",\"Add (0,1)=20 Failed, w=50\",\"Add (1,2)=29 Succeeded, w=79\",\"Add (0,4)=60 Succeeded, w=139\",\"Add (5,6)=65 Failed, w=139\",\"Add (3,6)=70 Failed, w=139\",\"Add (1,4)=72 Failed, w=139\",\"Add (1,5)=75 Failed, w=139\",\"Add (2,6)=75 Failed, w=139\",\"Add (2,3)=82 Failed, w=139\",\"Add (0,5)=83 Failed, w=139\",\"Add (1,6)=83 Failed, w=139\",\"Add (2,4)=85 Failed, w=139\",\"Add (0,2)=87 Failed, w=139\",\"Add (4,6)=88 Failed, w=139\",\"Add (2,5)=89 Failed, w=139\",\"Add (3,4)=97 Failed, w=139\",\"Add (3,5)=98 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,87],[0,3,11],[0,4,60],[0,5,83],[0,6,10],[1,2,29],[1,3,17],[1,4,72],[1,5,75],[1,6,83],[2,3,82],[2,4,85],[2,5,89],[2,6,75],[3,4,97],[3,5,98],[3,6,70],[4,5,12],[4,6,88],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=10,(0,3)=11,(4,5)=12,(1,3)=17,(0,1)=20,(1,2)=29,(0,4)=60,(5,6)=65,(3,6)=70,(1,4)=72,(1,5)=75,(2,6)=75,(2,3)=82,(0,5)=83,(1,6)=83,(2,4)=85,(0,2)=87,(4,6)=88,(2,5)=89,(3,4)=97,(3,5)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=21\",\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=33\",\"Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=50\",\"Find(0)=0, Find(1)=0, Add (0,1)=20 Failed, w=50\",\"Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=79\",\"Find(0)=0, Find(4)=4, Add (0,4)=60 Succeeded, w=139\",\"Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=139\",\"Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=139\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=139\",\"Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=139\",\"Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=139\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=139\",\"Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=139\",\"Find(1)=0, Find(6)=0, Add (1,6)=83 Failed, w=139\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=139\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=139\",\"Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=139\",\"Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=139\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=139\",\"Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,87],[0,3,11],[0,4,60],[0,5,83],[0,6,10],[1,2,29],[1,3,17],[1,4,72],[1,5,75],[1,6,83],[2,3,82],[2,4,85],[2,5,89],[2,6,75],[3,4,97],[3,5,98],[3,6,70],[4,5,12],[4,6,88],[5,6,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=10,(0,3)=11,(4,5)=12,(1,3)=17,(0,1)=20,(1,2)=29,(0,4)=60,(5,6)=65,(3,6)=70,(1,4)=72,(1,5)=75,(2,6)=75,(2,3)=82,(0,5)=83,(1,6)=83,(2,4)=85,(0,2)=87,(4,6)=88,(2,5)=89,(3,4)=97,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=20 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0}, Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=60 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=65 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=139\",\"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=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=83 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,56],[0,2,70],[0,3,32],[1,2,100],[1,3,56],[2,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,70],[0,3,32],[1,2,100],[1,3,56],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,70],[0,3,32],[1,2,100],[1,3,56],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,70],[0,3,32],[1,2,100],[1,3,56],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=32, w=32\",\"Add (2,3)=45, w=77\",\"Add (0,1)=56, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,70],[0,3,32],[1,2,100],[1,3,56],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=32 Succeeded, w=32\",\"Add (2,3)=45 Succeeded, w=77\",\"Add (0,1)=56 Succeeded, w=133\",\"Add (1,3)=56 Failed, w=133\",\"Add (0,2)=70 Failed, w=133\",\"Add (1,2)=100 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,70],[0,3,32],[1,2,100],[1,3,56],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=32,(2,3)=45,(0,1)=56,(1,3)=56,(0,2)=70,(1,2)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=32\",\"Find(2)=2, Find(3)=0, Add (2,3)=45 Succeeded, w=77\",\"Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=133\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=133\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=133\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,56],[0,2,70],[0,3,32],[1,2,100],[1,3,56],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=32,(2,3)=45,(0,1)=56,(1,3)=56,(0,2)=70,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=45 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=56 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,75],[1,3,20],[1,4,41],[2,3,59],[2,4,90],[3,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,75],[1,3,20],[1,4,41],[2,3,59],[2,4,90],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,75],[1,3,20],[1,4,41],[2,3,59],[2,4,90],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,75],[1,3,20],[1,4,41],[2,3,59],[2,4,90],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=20, w=20\",\"Add (1,4)=41, w=61\",\"Add (2,3)=59, w=120\",\"Add (0,2)=75, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,75],[1,3,20],[1,4,41],[2,3,59],[2,4,90],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=20 Succeeded, w=20\",\"Add (1,4)=41 Succeeded, w=61\",\"Add (2,3)=59 Succeeded, w=120\",\"Add (3,4)=62 Failed, w=120\",\"Add (0,2)=75 Succeeded, w=195\",\"Add (2,4)=90 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,75],[1,3,20],[1,4,41],[2,3,59],[2,4,90],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=20,(1,4)=41,(2,3)=59,(3,4)=62,(0,2)=75,(2,4)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=20\",\"Find(1)=1, Find(4)=4, Add (1,4)=41 Succeeded, w=61\",\"Find(2)=2, Find(3)=1, Add (2,3)=59 Succeeded, w=120\",\"Find(3)=1, Find(4)=1, Add (3,4)=62 Failed, w=120\",\"Find(0)=0, Find(2)=1, Add (0,2)=75 Succeeded, w=195\",\"Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,75],[1,3,20],[1,4,41],[2,3,59],[2,4,90],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=20,(1,4)=41,(2,3)=59,(3,4)=62,(0,2)=75,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=41 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=59 Succeeded, w=120\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=62 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=75 Succeeded, w=195\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,72],[0,2,65],[0,3,52],[0,4,35],[0,5,95],[0,6,70],[0,7,80],[1,2,82],[1,3,83],[1,4,10],[1,5,96],[1,6,16],[1,7,65],[2,3,27],[2,4,66],[2,5,44],[2,6,42],[2,7,94],[3,4,19],[3,5,40],[3,6,11],[3,7,18],[4,5,44],[4,6,11],[4,7,28],[5,6,45],[5,7,9],[6,7,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,65],[0,3,52],[0,4,35],[0,5,95],[0,6,70],[0,7,80],[1,2,82],[1,3,83],[1,4,10],[1,5,96],[1,6,16],[1,7,65],[2,3,27],[2,4,66],[2,5,44],[2,6,42],[2,7,94],[3,4,19],[3,5,40],[3,6,11],[3,7,18],[4,5,44],[4,6,11],[4,7,28],[5,6,45],[5,7,9],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,65],[0,3,52],[0,4,35],[0,5,95],[0,6,70],[0,7,80],[1,2,82],[1,3,83],[1,4,10],[1,5,96],[1,6,16],[1,7,65],[2,3,27],[2,4,66],[2,5,44],[2,6,42],[2,7,94],[3,4,19],[3,5,40],[3,6,11],[3,7,18],[4,5,44],[4,6,11],[4,7,28],[5,6,45],[5,7,9],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (3,7)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,65],[0,3,52],[0,4,35],[0,5,95],[0,6,70],[0,7,80],[1,2,82],[1,3,83],[1,4,10],[1,5,96],[1,6,16],[1,7,65],[2,3,27],[2,4,66],[2,5,44],[2,6,42],[2,7,94],[3,4,19],[3,5,40],[3,6,11],[3,7,18],[4,5,44],[4,6,11],[4,7,28],[5,6,45],[5,7,9],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=9, w=9\",\"Add (1,4)=10, w=19\",\"Add (3,6)=11, w=30\",\"Add (4,6)=11, w=41\",\"Add (3,7)=18, w=59\",\"Add (2,3)=27, w=86\",\"Add (0,4)=35, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,65],[0,3,52],[0,4,35],[0,5,95],[0,6,70],[0,7,80],[1,2,82],[1,3,83],[1,4,10],[1,5,96],[1,6,16],[1,7,65],[2,3,27],[2,4,66],[2,5,44],[2,6,42],[2,7,94],[3,4,19],[3,5,40],[3,6,11],[3,7,18],[4,5,44],[4,6,11],[4,7,28],[5,6,45],[5,7,9],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=9 Succeeded, w=9\",\"Add (1,4)=10 Succeeded, w=19\",\"Add (3,6)=11 Succeeded, w=30\",\"Add (4,6)=11 Succeeded, w=41\",\"Add (1,6)=16 Failed, w=41\",\"Add (3,7)=18 Succeeded, w=59\",\"Add (3,4)=19 Failed, w=59\",\"Add (2,3)=27 Succeeded, w=86\",\"Add (4,7)=28 Failed, w=86\",\"Add (0,4)=35 Succeeded, w=121\",\"Add (3,5)=40 Failed, w=121\",\"Add (2,6)=42 Failed, w=121\",\"Add (2,5)=44 Failed, w=121\",\"Add (4,5)=44 Failed, w=121\",\"Add (5,6)=45 Failed, w=121\",\"Add (0,3)=52 Failed, w=121\",\"Add (0,2)=65 Failed, w=121\",\"Add (1,7)=65 Failed, w=121\",\"Add (2,4)=66 Failed, w=121\",\"Add (0,6)=70 Failed, w=121\",\"Add (6,7)=70 Failed, w=121\",\"Add (0,1)=72 Failed, w=121\",\"Add (0,7)=80 Failed, w=121\",\"Add (1,2)=82 Failed, w=121\",\"Add (1,3)=83 Failed, w=121\",\"Add (2,7)=94 Failed, w=121\",\"Add (0,5)=95 Failed, w=121\",\"Add (1,5)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,65],[0,3,52],[0,4,35],[0,5,95],[0,6,70],[0,7,80],[1,2,82],[1,3,83],[1,4,10],[1,5,96],[1,6,16],[1,7,65],[2,3,27],[2,4,66],[2,5,44],[2,6,42],[2,7,94],[3,4,19],[3,5,40],[3,6,11],[3,7,18],[4,5,44],[4,6,11],[4,7,28],[5,6,45],[5,7,9],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=9,(1,4)=10,(3,6)=11,(4,6)=11,(1,6)=16,(3,7)=18,(3,4)=19,(2,3)=27,(4,7)=28,(0,4)=35,(3,5)=40,(2,6)=42,(2,5)=44,(4,5)=44,(5,6)=45,(0,3)=52,(0,2)=65,(1,7)=65,(2,4)=66,(0,6)=70,(6,7)=70,(0,1)=72,(0,7)=80,(1,2)=82,(1,3)=83,(2,7)=94,(0,5)=95,(1,5)=96]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=9 Succeeded, w=9\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=19\",\"Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=30\",\"Find(4)=1, Find(6)=3, Add (4,6)=11 Succeeded, w=41\",\"Find(1)=1, Find(6)=1, Add (1,6)=16 Failed, w=41\",\"Find(3)=1, Find(7)=5, Add (3,7)=18 Succeeded, w=59\",\"Find(3)=1, Find(4)=1, Add (3,4)=19 Failed, w=59\",\"Find(2)=2, Find(3)=1, Add (2,3)=27 Succeeded, w=86\",\"Find(4)=1, Find(7)=1, Add (4,7)=28 Failed, w=86\",\"Find(0)=0, Find(4)=1, Add (0,4)=35 Succeeded, w=121\",\"Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=121\",\"Find(2)=1, Find(6)=1, Add (2,6)=42 Failed, w=121\",\"Find(2)=1, Find(5)=1, Add (2,5)=44 Failed, w=121\",\"Find(4)=1, Find(5)=1, Add (4,5)=44 Failed, w=121\",\"Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=121\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=121\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=121\",\"Find(1)=1, Find(7)=1, Add (1,7)=65 Failed, w=121\",\"Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=121\",\"Find(0)=1, Find(6)=1, Add (0,6)=70 Failed, w=121\",\"Find(6)=1, Find(7)=1, Add (6,7)=70 Failed, w=121\",\"Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=121\",\"Find(0)=1, Find(7)=1, Add (0,7)=80 Failed, w=121\",\"Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=121\",\"Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=121\",\"Find(2)=1, Find(7)=1, Add (2,7)=94 Failed, w=121\",\"Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=121\",\"Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,72],[0,2,65],[0,3,52],[0,4,35],[0,5,95],[0,6,70],[0,7,80],[1,2,82],[1,3,83],[1,4,10],[1,5,96],[1,6,16],[1,7,65],[2,3,27],[2,4,66],[2,5,44],[2,6,42],[2,7,94],[3,4,19],[3,5,40],[3,6,11],[3,7,18],[4,5,44],[4,6,11],[4,7,28],[5,6,45],[5,7,9],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=9,(1,4)=10,(3,6)=11,(4,6)=11,(1,6)=16,(3,7)=18,(3,4)=19,(2,3)=27,(4,7)=28,(0,4)=35,(3,5)=40,(2,6)=42,(2,5)=44,(4,5)=44,(5,6)=45,(0,3)=52,(0,2)=65,(1,7)=65,(2,4)=66,(0,6)=70,(6,7)=70,(0,1)=72,(0,7)=80,(1,2)=82,(1,3)=83,(2,7)=94,(0,5)=95,(1,5)=96]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 3, 7: 5}, Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 3, 7: 5}, Find(4)=1, Find(6)=3, Add (4,6)=11 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 5}, Find(1)=1, Find(6)=1, Add (1,6)=16 Failed, w=41\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(3)=1, Find(7)=5, Add (3,7)=18 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(3)=1, Find(4)=1, Add (3,4)=19 Failed, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=2, Find(3)=1, Add (2,3)=27 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=28 Failed, w=86\",\"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)=35 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=42 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=44 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=44 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=121\",\"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)=65 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=65 Failed, w=121\",\"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)=66 Failed, w=121\",\"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)=70 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=70 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=72 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=80 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=82 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=83 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=94 Failed, w=121\",\"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)=95 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,2],[0,2,24],[0,3,27],[0,4,59],[0,5,67],[1,2,41],[1,3,7],[2,3,34],[2,4,100],[2,5,36],[3,4,53],[3,5,32],[4,5,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,24],[0,3,27],[0,4,59],[0,5,67],[1,2,41],[1,3,7],[2,3,34],[2,4,100],[2,5,36],[3,4,53],[3,5,32],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,24],[0,3,27],[0,4,59],[0,5,67],[1,2,41],[1,3,7],[2,3,34],[2,4,100],[2,5,36],[3,4,53],[3,5,32],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (3,4)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,24],[0,3,27],[0,4,59],[0,5,67],[1,2,41],[1,3,7],[2,3,34],[2,4,100],[2,5,36],[3,4,53],[3,5,32],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (1,3)=7, w=9\",\"Add (0,2)=24, w=33\",\"Add (3,5)=32, w=65\",\"Add (3,4)=53, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,24],[0,3,27],[0,4,59],[0,5,67],[1,2,41],[1,3,7],[2,3,34],[2,4,100],[2,5,36],[3,4,53],[3,5,32],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (1,3)=7 Succeeded, w=9\",\"Add (0,2)=24 Succeeded, w=33\",\"Add (0,3)=27 Failed, w=33\",\"Add (3,5)=32 Succeeded, w=65\",\"Add (2,3)=34 Failed, w=65\",\"Add (2,5)=36 Failed, w=65\",\"Add (1,2)=41 Failed, w=65\",\"Add (3,4)=53 Succeeded, w=118\",\"Add (0,4)=59 Failed, w=118\",\"Add (0,5)=67 Failed, w=118\",\"Add (4,5)=71 Failed, w=118\",\"Add (2,4)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,24],[0,3,27],[0,4,59],[0,5,67],[1,2,41],[1,3,7],[2,3,34],[2,4,100],[2,5,36],[3,4,53],[3,5,32],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,3)=7,(0,2)=24,(0,3)=27,(3,5)=32,(2,3)=34,(2,5)=36,(1,2)=41,(3,4)=53,(0,4)=59,(0,5)=67,(4,5)=71,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(1)=0, Find(3)=3, Add (1,3)=7 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=33\",\"Find(0)=0, Find(3)=0, Add (0,3)=27 Failed, w=33\",\"Find(3)=0, Find(5)=5, Add (3,5)=32 Succeeded, w=65\",\"Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=65\",\"Find(2)=0, Find(5)=0, Add (2,5)=36 Failed, w=65\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=65\",\"Find(3)=0, Find(4)=4, Add (3,4)=53 Succeeded, w=118\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=118\",\"Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=118\",\"Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,24],[0,3,27],[0,4,59],[0,5,67],[1,2,41],[1,3,7],[2,3,34],[2,4,100],[2,5,36],[3,4,53],[3,5,32],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,3)=7,(0,2)=24,(0,3)=27,(3,5)=32,(2,3)=34,(2,5)=36,(1,2)=41,(3,4)=53,(0,4)=59,(0,5)=67,(4,5)=71,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=0, Find(3)=3, Add (1,3)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=0, Add (0,3)=27 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=32 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=36 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=4, Add (3,4)=53 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=118\",\"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=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=100, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=100 Succeeded, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=100 Succeeded, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=100 Succeeded, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,32],[0,2,33],[0,3,54],[0,4,26],[0,5,85],[0,6,47],[0,7,79],[1,2,21],[1,3,14],[1,4,6],[1,5,66],[1,6,88],[1,7,44],[2,3,92],[2,4,48],[2,5,91],[2,6,82],[2,7,66],[3,4,65],[3,5,53],[3,6,64],[3,7,24],[4,5,71],[4,6,38],[4,7,77],[5,6,44],[5,7,41],[6,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,33],[0,3,54],[0,4,26],[0,5,85],[0,6,47],[0,7,79],[1,2,21],[1,3,14],[1,4,6],[1,5,66],[1,6,88],[1,7,44],[2,3,92],[2,4,48],[2,5,91],[2,6,82],[2,7,66],[3,4,65],[3,5,53],[3,6,64],[3,7,24],[4,5,71],[4,6,38],[4,7,77],[5,6,44],[5,7,41],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,33],[0,3,54],[0,4,26],[0,5,85],[0,6,47],[0,7,79],[1,2,21],[1,3,14],[1,4,6],[1,5,66],[1,6,88],[1,7,44],[2,3,92],[2,4,48],[2,5,91],[2,6,82],[2,7,66],[3,4,65],[3,5,53],[3,6,64],[3,7,24],[4,5,71],[4,6,38],[4,7,77],[5,6,44],[5,7,41],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (3,7)\",\"Add (0,4)\",\"Add (4,6)\",\"Add (5,7)\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,33],[0,3,54],[0,4,26],[0,5,85],[0,6,47],[0,7,79],[1,2,21],[1,3,14],[1,4,6],[1,5,66],[1,6,88],[1,7,44],[2,3,92],[2,4,48],[2,5,91],[2,6,82],[2,7,66],[3,4,65],[3,5,53],[3,6,64],[3,7,24],[4,5,71],[4,6,38],[4,7,77],[5,6,44],[5,7,41],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6, w=6\",\"Add (1,3)=14, w=20\",\"Add (1,2)=21, w=41\",\"Add (3,7)=24, w=65\",\"Add (0,4)=26, w=91\",\"Add (4,6)=38, w=129\",\"Add (5,7)=41, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,33],[0,3,54],[0,4,26],[0,5,85],[0,6,47],[0,7,79],[1,2,21],[1,3,14],[1,4,6],[1,5,66],[1,6,88],[1,7,44],[2,3,92],[2,4,48],[2,5,91],[2,6,82],[2,7,66],[3,4,65],[3,5,53],[3,6,64],[3,7,24],[4,5,71],[4,6,38],[4,7,77],[5,6,44],[5,7,41],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6 Succeeded, w=6\",\"Add (1,3)=14 Succeeded, w=20\",\"Add (1,2)=21 Succeeded, w=41\",\"Add (3,7)=24 Succeeded, w=65\",\"Add (0,4)=26 Succeeded, w=91\",\"Add (0,1)=32 Failed, w=91\",\"Add (0,2)=33 Failed, w=91\",\"Add (4,6)=38 Succeeded, w=129\",\"Add (5,7)=41 Succeeded, w=170\",\"Add (1,7)=44 Failed, w=170\",\"Add (5,6)=44 Failed, w=170\",\"Add (0,6)=47 Failed, w=170\",\"Add (2,4)=48 Failed, w=170\",\"Add (3,5)=53 Failed, w=170\",\"Add (0,3)=54 Failed, w=170\",\"Add (3,6)=64 Failed, w=170\",\"Add (3,4)=65 Failed, w=170\",\"Add (1,5)=66 Failed, w=170\",\"Add (2,7)=66 Failed, w=170\",\"Add (4,5)=71 Failed, w=170\",\"Add (4,7)=77 Failed, w=170\",\"Add (0,7)=79 Failed, w=170\",\"Add (2,6)=82 Failed, w=170\",\"Add (6,7)=84 Failed, w=170\",\"Add (0,5)=85 Failed, w=170\",\"Add (1,6)=88 Failed, w=170\",\"Add (2,5)=91 Failed, w=170\",\"Add (2,3)=92 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,33],[0,3,54],[0,4,26],[0,5,85],[0,6,47],[0,7,79],[1,2,21],[1,3,14],[1,4,6],[1,5,66],[1,6,88],[1,7,44],[2,3,92],[2,4,48],[2,5,91],[2,6,82],[2,7,66],[3,4,65],[3,5,53],[3,6,64],[3,7,24],[4,5,71],[4,6,38],[4,7,77],[5,6,44],[5,7,41],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(1,3)=14,(1,2)=21,(3,7)=24,(0,4)=26,(0,1)=32,(0,2)=33,(4,6)=38,(5,7)=41,(1,7)=44,(5,6)=44,(0,6)=47,(2,4)=48,(3,5)=53,(0,3)=54,(3,6)=64,(3,4)=65,(1,5)=66,(2,7)=66,(4,5)=71,(4,7)=77,(0,7)=79,(2,6)=82,(6,7)=84,(0,5)=85,(1,6)=88,(2,5)=91,(2,3)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=41\",\"Find(3)=1, Find(7)=7, Add (3,7)=24 Succeeded, w=65\",\"Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=91\",\"Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=91\",\"Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=91\",\"Find(4)=1, Find(6)=6, Add (4,6)=38 Succeeded, w=129\",\"Find(5)=5, Find(7)=1, Add (5,7)=41 Succeeded, w=170\",\"Find(1)=1, Find(7)=1, Add (1,7)=44 Failed, w=170\",\"Find(5)=1, Find(6)=1, Add (5,6)=44 Failed, w=170\",\"Find(0)=1, Find(6)=1, Add (0,6)=47 Failed, w=170\",\"Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=170\",\"Find(3)=1, Find(5)=1, Add (3,5)=53 Failed, w=170\",\"Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=170\",\"Find(3)=1, Find(6)=1, Add (3,6)=64 Failed, w=170\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=170\",\"Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=170\",\"Find(2)=1, Find(7)=1, Add (2,7)=66 Failed, w=170\",\"Find(4)=1, Find(5)=1, Add (4,5)=71 Failed, w=170\",\"Find(4)=1, Find(7)=1, Add (4,7)=77 Failed, w=170\",\"Find(0)=1, Find(7)=1, Add (0,7)=79 Failed, w=170\",\"Find(2)=1, Find(6)=1, Add (2,6)=82 Failed, w=170\",\"Find(6)=1, Find(7)=1, Add (6,7)=84 Failed, w=170\",\"Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=170\",\"Find(1)=1, Find(6)=1, Add (1,6)=88 Failed, w=170\",\"Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=170\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,2,33],[0,3,54],[0,4,26],[0,5,85],[0,6,47],[0,7,79],[1,2,21],[1,3,14],[1,4,6],[1,5,66],[1,6,88],[1,7,44],[2,3,92],[2,4,48],[2,5,91],[2,6,82],[2,7,66],[3,4,65],[3,5,53],[3,6,64],[3,7,24],[4,5,71],[4,6,38],[4,7,77],[5,6,44],[5,7,41],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(1,3)=14,(1,2)=21,(3,7)=24,(0,4)=26,(0,1)=32,(0,2)=33,(4,6)=38,(5,7)=41,(1,7)=44,(5,6)=44,(0,6)=47,(2,4)=48,(3,5)=53,(0,3)=54,(3,6)=64,(3,4)=65,(1,5)=66,(2,7)=66,(4,5)=71,(4,7)=77,(0,7)=79,(2,6)=82,(6,7)=84,(0,5)=85,(1,6)=88,(2,5)=91,(2,3)=92]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=24 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=33 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=1, Find(6)=6, Add (4,6)=38 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=41 Succeeded, w=170\",\"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)=44 Failed, w=170\",\"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)=44 Failed, w=170\",\"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)=47 Failed, w=170\",\"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)=48 Failed, w=170\",\"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)=53 Failed, w=170\",\"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)=54 Failed, w=170\",\"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)=64 Failed, w=170\",\"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)=65 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=66 Failed, w=170\",\"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)=66 Failed, w=170\",\"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)=71 Failed, w=170\",\"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)=77 Failed, w=170\",\"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)=79 Failed, w=170\",\"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)=82 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=84 Failed, w=170\",\"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)=85 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=88 Failed, w=170\",\"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)=91 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,81],[0,3,34],[0,4,85],[1,2,72],[1,3,38],[1,4,79],[2,3,38],[2,4,32],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,34],[0,4,85],[1,2,72],[1,3,38],[1,4,79],[2,3,38],[2,4,32],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,34],[0,4,85],[1,2,72],[1,3,38],[1,4,79],[2,3,38],[2,4,32],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,34],[0,4,85],[1,2,72],[1,3,38],[1,4,79],[2,3,38],[2,4,32],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11, w=11\",\"Add (2,4)=32, w=43\",\"Add (0,3)=34, w=77\",\"Add (1,3)=38, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,34],[0,4,85],[1,2,72],[1,3,38],[1,4,79],[2,3,38],[2,4,32],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11 Succeeded, w=11\",\"Add (2,4)=32 Succeeded, w=43\",\"Add (0,3)=34 Succeeded, w=77\",\"Add (1,3)=38 Succeeded, w=115\",\"Add (2,3)=38 Failed, w=115\",\"Add (1,2)=72 Failed, w=115\",\"Add (1,4)=79 Failed, w=115\",\"Add (0,2)=81 Failed, w=115\",\"Add (0,4)=85 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,34],[0,4,85],[1,2,72],[1,3,38],[1,4,79],[2,3,38],[2,4,32],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(2,4)=32,(0,3)=34,(1,3)=38,(2,3)=38,(1,2)=72,(1,4)=79,(0,2)=81,(0,4)=85]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Find(2)=2, Find(4)=3, Add (2,4)=32 Succeeded, w=43\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=77\",\"Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=115\",\"Find(2)=3, Find(3)=3, Add (2,3)=38 Failed, w=115\",\"Find(1)=3, Find(2)=3, Add (1,2)=72 Failed, w=115\",\"Find(1)=3, Find(4)=3, Add (1,4)=79 Failed, w=115\",\"Find(0)=3, Find(2)=3, Add (0,2)=81 Failed, w=115\",\"Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,81],[0,3,34],[0,4,85],[1,2,72],[1,3,38],[1,4,79],[2,3,38],[2,4,32],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(2,4)=32,(0,3)=34,(1,3)=38,(2,3)=38,(1,2)=72,(1,4)=79,(0,2)=81,(0,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=32 Succeeded, w=43\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=77\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=38 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=72 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=79 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=81 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,67],[0,2,100],[0,3,96],[0,5,30],[0,6,51],[1,2,74],[1,3,22],[2,3,61],[2,4,10],[2,5,36],[3,4,15],[3,5,14],[3,6,25],[4,5,51],[4,6,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,100],[0,3,96],[0,5,30],[0,6,51],[1,2,74],[1,3,22],[2,3,61],[2,4,10],[2,5,36],[3,4,15],[3,5,14],[3,6,25],[4,5,51],[4,6,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,100],[0,3,96],[0,5,30],[0,6,51],[1,2,74],[1,3,22],[2,3,61],[2,4,10],[2,5,36],[3,4,15],[3,5,14],[3,6,25],[4,5,51],[4,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (0,5)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,100],[0,3,96],[0,5,30],[0,6,51],[1,2,74],[1,3,22],[2,3,61],[2,4,10],[2,5,36],[3,4,15],[3,5,14],[3,6,25],[4,5,51],[4,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (3,5)=14, w=24\",\"Add (3,4)=15, w=39\",\"Add (1,3)=22, w=61\",\"Add (3,6)=25, w=86\",\"Add (0,5)=30, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,100],[0,3,96],[0,5,30],[0,6,51],[1,2,74],[1,3,22],[2,3,61],[2,4,10],[2,5,36],[3,4,15],[3,5,14],[3,6,25],[4,5,51],[4,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (3,5)=14 Succeeded, w=24\",\"Add (3,4)=15 Succeeded, w=39\",\"Add (1,3)=22 Succeeded, w=61\",\"Add (3,6)=25 Succeeded, w=86\",\"Add (0,5)=30 Succeeded, w=116\",\"Add (4,6)=35 Failed, w=116\",\"Add (2,5)=36 Failed, w=116\",\"Add (0,6)=51 Failed, w=116\",\"Add (4,5)=51 Failed, w=116\",\"Add (2,3)=61 Failed, w=116\",\"Add (0,1)=67 Failed, w=116\",\"Add (1,2)=74 Failed, w=116\",\"Add (0,3)=96 Failed, w=116\",\"Add (0,2)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,100],[0,3,96],[0,5,30],[0,6,51],[1,2,74],[1,3,22],[2,3,61],[2,4,10],[2,5,36],[3,4,15],[3,5,14],[3,6,25],[4,5,51],[4,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(3,5)=14,(3,4)=15,(1,3)=22,(3,6)=25,(0,5)=30,(4,6)=35,(2,5)=36,(0,6)=51,(4,5)=51,(2,3)=61,(0,1)=67,(1,2)=74,(0,3)=96,(0,2)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=24\",\"Find(3)=3, Find(4)=2, Add (3,4)=15 Succeeded, w=39\",\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=61\",\"Find(3)=3, Find(6)=6, Add (3,6)=25 Succeeded, w=86\",\"Find(0)=0, Find(5)=3, Add (0,5)=30 Succeeded, w=116\",\"Find(4)=3, Find(6)=3, Add (4,6)=35 Failed, w=116\",\"Find(2)=3, Find(5)=3, Add (2,5)=36 Failed, w=116\",\"Find(0)=3, Find(6)=3, Add (0,6)=51 Failed, w=116\",\"Find(4)=3, Find(5)=3, Add (4,5)=51 Failed, w=116\",\"Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=116\",\"Find(0)=3, Find(1)=3, Add (0,1)=67 Failed, w=116\",\"Find(1)=3, Find(2)=3, Add (1,2)=74 Failed, w=116\",\"Find(0)=3, Find(3)=3, Add (0,3)=96 Failed, w=116\",\"Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,100],[0,3,96],[0,5,30],[0,6,51],[1,2,74],[1,3,22],[2,3,61],[2,4,10],[2,5,36],[3,4,15],[3,5,14],[3,6,25],[4,5,51],[4,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(3,5)=14,(3,4)=15,(1,3)=22,(3,6)=25,(0,5)=30,(4,6)=35,(2,5)=36,(0,6)=51,(4,5)=51,(2,3)=61,(0,1)=67,(1,2)=74,(0,3)=96,(0,2)=100]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3, 6: 6}, Find(3)=3, Find(4)=2, Add (3,4)=15 Succeeded, w=39\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=61\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=25 Succeeded, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(0)=0, Find(5)=3, Add (0,5)=30 Succeeded, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=35 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=36 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=51 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=51 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=61 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=67 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=74 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=96 Failed, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,51],[0,3,49],[0,4,68],[1,2,91],[1,4,62],[2,3,71],[2,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,49],[0,4,68],[1,2,91],[1,4,62],[2,3,71],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,49],[0,4,68],[1,2,91],[1,4,62],[2,3,71],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,49],[0,4,68],[1,2,91],[1,4,62],[2,3,71],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=19, w=19\",\"Add (0,3)=49, w=68\",\"Add (0,1)=51, w=119\",\"Add (1,4)=62, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,49],[0,4,68],[1,2,91],[1,4,62],[2,3,71],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=19 Succeeded, w=19\",\"Add (0,3)=49 Succeeded, w=68\",\"Add (0,1)=51 Succeeded, w=119\",\"Add (1,4)=62 Succeeded, w=181\",\"Add (0,4)=68 Failed, w=181\",\"Add (2,3)=71 Failed, w=181\",\"Add (1,2)=91 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,49],[0,4,68],[1,2,91],[1,4,62],[2,3,71],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=19,(0,3)=49,(0,1)=51,(1,4)=62,(0,4)=68,(2,3)=71,(1,2)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=68\",\"Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=119\",\"Find(1)=0, Find(4)=2, Add (1,4)=62 Succeeded, w=181\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=181\",\"Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=181\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,3,49],[0,4,68],[1,2,91],[1,4,62],[2,3,71],[2,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=19,(0,3)=49,(0,1)=51,(1,4)=62,(0,4)=68,(2,3)=71,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=62 Succeeded, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,67],[0,3,62],[0,4,84],[1,2,40],[1,3,11],[1,4,70],[1,5,32],[2,3,70],[2,5,68],[3,5,46],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,67],[0,3,62],[0,4,84],[1,2,40],[1,3,11],[1,4,70],[1,5,32],[2,3,70],[2,5,68],[3,5,46],[4,5,31]]}",
"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],\"edges\":[[0,2,67],[0,3,62],[0,4,84],[1,2,40],[1,3,11],[1,4,70],[1,5,32],[2,3,70],[2,5,68],[3,5,46],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,67],[0,3,62],[0,4,84],[1,2,40],[1,3,11],[1,4,70],[1,5,32],[2,3,70],[2,5,68],[3,5,46],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (4,5)=31, w=42\",\"Add (1,5)=32, w=74\",\"Add (1,2)=40, w=114\",\"Add (0,3)=62, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,67],[0,3,62],[0,4,84],[1,2,40],[1,3,11],[1,4,70],[1,5,32],[2,3,70],[2,5,68],[3,5,46],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (4,5)=31 Succeeded, w=42\",\"Add (1,5)=32 Succeeded, w=74\",\"Add (1,2)=40 Succeeded, w=114\",\"Add (3,5)=46 Failed, w=114\",\"Add (0,3)=62 Succeeded, w=176\",\"Add (0,2)=67 Failed, w=176\",\"Add (2,5)=68 Failed, w=176\",\"Add (1,4)=70 Failed, w=176\",\"Add (2,3)=70 Failed, w=176\",\"Add (0,4)=84 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],\"edges\":[[0,2,67],[0,3,62],[0,4,84],[1,2,40],[1,3,11],[1,4,70],[1,5,32],[2,3,70],[2,5,68],[3,5,46],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(4,5)=31,(1,5)=32,(1,2)=40,(3,5)=46,(0,3)=62,(0,2)=67,(2,5)=68,(1,4)=70,(2,3)=70,(0,4)=84]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(4)=4, Find(5)=5, Add (4,5)=31 Succeeded, w=42\",\"Find(1)=1, Find(5)=4, Add (1,5)=32 Succeeded, w=74\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=114\",\"Find(3)=1, Find(5)=1, Add (3,5)=46 Failed, w=114\",\"Find(0)=0, Find(3)=1, Add (0,3)=62 Succeeded, w=176\",\"Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=176\",\"Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=176\",\"Find(1)=1, Find(4)=1, Add (1,4)=70 Failed, w=176\",\"Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=176\",\"Find(0)=1, Find(4)=1, Add (0,4)=84 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],\"edges\":[[0,2,67],[0,3,62],[0,4,84],[1,2,40],[1,3,11],[1,4,70],[1,5,32],[2,3,70],[2,5,68],[3,5,46],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(4,5)=31,(1,5)=32,(1,2)=40,(3,5)=46,(0,3)=62,(0,2)=67,(2,5)=68,(1,4)=70,(2,3)=70,(0,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=31 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=32 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=114\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=46 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(3)=1, Add (0,3)=62 Succeeded, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=70 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,97],[0,5,36],[0,6,53],[1,2,14],[1,3,50],[1,6,1],[1,7,52],[2,5,34],[2,7,96],[3,6,81],[3,7,84],[4,5,62],[4,7,50],[5,6,44],[6,7,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,36],[0,6,53],[1,2,14],[1,3,50],[1,6,1],[1,7,52],[2,5,34],[2,7,96],[3,6,81],[3,7,84],[4,5,62],[4,7,50],[5,6,44],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,36],[0,6,53],[1,2,14],[1,3,50],[1,6,1],[1,7,52],[2,5,34],[2,7,96],[3,6,81],[3,7,84],[4,5,62],[4,7,50],[5,6,44],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,2)\",\"Add (6,7)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (4,7)\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,36],[0,6,53],[1,2,14],[1,3,50],[1,6,1],[1,7,52],[2,5,34],[2,7,96],[3,6,81],[3,7,84],[4,5,62],[4,7,50],[5,6,44],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (1,2)=14, w=15\",\"Add (6,7)=24, w=39\",\"Add (2,5)=34, w=73\",\"Add (0,5)=36, w=109\",\"Add (1,3)=50, w=159\",\"Add (4,7)=50, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,36],[0,6,53],[1,2,14],[1,3,50],[1,6,1],[1,7,52],[2,5,34],[2,7,96],[3,6,81],[3,7,84],[4,5,62],[4,7,50],[5,6,44],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (1,2)=14 Succeeded, w=15\",\"Add (6,7)=24 Succeeded, w=39\",\"Add (2,5)=34 Succeeded, w=73\",\"Add (0,5)=36 Succeeded, w=109\",\"Add (5,6)=44 Failed, w=109\",\"Add (1,3)=50 Succeeded, w=159\",\"Add (4,7)=50 Succeeded, w=209\",\"Add (1,7)=52 Failed, w=209\",\"Add (0,6)=53 Failed, w=209\",\"Add (4,5)=62 Failed, w=209\",\"Add (3,6)=81 Failed, w=209\",\"Add (3,7)=84 Failed, w=209\",\"Add (2,7)=96 Failed, w=209\",\"Add (0,1)=97 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,36],[0,6,53],[1,2,14],[1,3,50],[1,6,1],[1,7,52],[2,5,34],[2,7,96],[3,6,81],[3,7,84],[4,5,62],[4,7,50],[5,6,44],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(1,2)=14,(6,7)=24,(2,5)=34,(0,5)=36,(5,6)=44,(1,3)=50,(4,7)=50,(1,7)=52,(0,6)=53,(4,5)=62,(3,6)=81,(3,7)=84,(2,7)=96,(0,1)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=15\",\"Find(6)=1, Find(7)=7, Add (6,7)=24 Succeeded, w=39\",\"Find(2)=1, Find(5)=5, Add (2,5)=34 Succeeded, w=73\",\"Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=109\",\"Find(5)=1, Find(6)=1, Add (5,6)=44 Failed, w=109\",\"Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=159\",\"Find(4)=4, Find(7)=1, Add (4,7)=50 Succeeded, w=209\",\"Find(1)=1, Find(7)=1, Add (1,7)=52 Failed, w=209\",\"Find(0)=1, Find(6)=1, Add (0,6)=53 Failed, w=209\",\"Find(4)=1, Find(5)=1, Add (4,5)=62 Failed, w=209\",\"Find(3)=1, Find(6)=1, Add (3,6)=81 Failed, w=209\",\"Find(3)=1, Find(7)=1, Add (3,7)=84 Failed, w=209\",\"Find(2)=1, Find(7)=1, Add (2,7)=96 Failed, w=209\",\"Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,5,36],[0,6,53],[1,2,14],[1,3,50],[1,6,1],[1,7,52],[2,5,34],[2,7,96],[3,6,81],[3,7,84],[4,5,62],[4,7,50],[5,6,44],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(1,2)=14,(6,7)=24,(2,5)=34,(0,5)=36,(5,6)=44,(1,3)=50,(4,7)=50,(1,7)=52,(0,6)=53,(4,5)=62,(3,6)=81,(3,7)=84,(2,7)=96,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 1}, Find(6)=1, Find(7)=7, Add (6,7)=24 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=5, Add (2,5)=34 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=44 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=50 Succeeded, w=209\",\"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)=52 Failed, w=209\",\"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)=53 Failed, w=209\",\"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)=62 Failed, w=209\",\"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)=81 Failed, w=209\",\"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)=84 Failed, w=209\",\"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)=96 Failed, w=209\",\"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)=97 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,39],[0,2,84],[0,4,63],[0,5,60],[1,3,97],[1,5,31],[2,3,99],[2,4,68],[2,5,30],[3,4,71],[3,5,23],[4,5,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,84],[0,4,63],[0,5,60],[1,3,97],[1,5,31],[2,3,99],[2,4,68],[2,5,30],[3,4,71],[3,5,23],[4,5,10]]}",
"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],\"edges\":[[0,1,39],[0,2,84],[0,4,63],[0,5,60],[1,3,97],[1,5,31],[2,3,99],[2,4,68],[2,5,30],[3,4,71],[3,5,23],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (0,1)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,84],[0,4,63],[0,5,60],[1,3,97],[1,5,31],[2,3,99],[2,4,68],[2,5,30],[3,4,71],[3,5,23],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=10, w=10\",\"Add (3,5)=23, w=33\",\"Add (2,5)=30, w=63\",\"Add (1,5)=31, w=94\",\"Add (0,1)=39, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,84],[0,4,63],[0,5,60],[1,3,97],[1,5,31],[2,3,99],[2,4,68],[2,5,30],[3,4,71],[3,5,23],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=10 Succeeded, w=10\",\"Add (3,5)=23 Succeeded, w=33\",\"Add (2,5)=30 Succeeded, w=63\",\"Add (1,5)=31 Succeeded, w=94\",\"Add (0,1)=39 Succeeded, w=133\",\"Add (0,5)=60 Failed, w=133\",\"Add (0,4)=63 Failed, w=133\",\"Add (2,4)=68 Failed, w=133\",\"Add (3,4)=71 Failed, w=133\",\"Add (0,2)=84 Failed, w=133\",\"Add (1,3)=97 Failed, w=133\",\"Add (2,3)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,84],[0,4,63],[0,5,60],[1,3,97],[1,5,31],[2,3,99],[2,4,68],[2,5,30],[3,4,71],[3,5,23],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=10,(3,5)=23,(2,5)=30,(1,5)=31,(0,1)=39,(0,5)=60,(0,4)=63,(2,4)=68,(3,4)=71,(0,2)=84,(1,3)=97,(2,3)=99]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Find(3)=3, Find(5)=4, Add (3,5)=23 Succeeded, w=33\",\"Find(2)=2, Find(5)=4, Add (2,5)=30 Succeeded, w=63\",\"Find(1)=1, Find(5)=4, Add (1,5)=31 Succeeded, w=94\",\"Find(0)=0, Find(1)=4, Add (0,1)=39 Succeeded, w=133\",\"Find(0)=4, Find(5)=4, Add (0,5)=60 Failed, w=133\",\"Find(0)=4, Find(4)=4, Add (0,4)=63 Failed, w=133\",\"Find(2)=4, Find(4)=4, Add (2,4)=68 Failed, w=133\",\"Find(3)=4, Find(4)=4, Add (3,4)=71 Failed, w=133\",\"Find(0)=4, Find(2)=4, Add (0,2)=84 Failed, w=133\",\"Find(1)=4, Find(3)=4, Add (1,3)=97 Failed, w=133\",\"Find(2)=4, Find(3)=4, Add (2,3)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,84],[0,4,63],[0,5,60],[1,3,97],[1,5,31],[2,3,99],[2,4,68],[2,5,30],[3,4,71],[3,5,23],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=10,(3,5)=23,(2,5)=30,(1,5)=31,(0,1)=39,(0,5)=60,(0,4)=63,(2,4)=68,(3,4)=71,(0,2)=84,(1,3)=97,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=23 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=30 Succeeded, w=63\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=31 Succeeded, w=94\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(1)=4, Add (0,1)=39 Succeeded, w=133\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(5)=4, Add (0,5)=60 Failed, w=133\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=63 Failed, w=133\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(4)=4, Add (2,4)=68 Failed, w=133\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=71 Failed, w=133\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=84 Failed, w=133\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=97 Failed, w=133\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(3)=4, Add (2,3)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,92],[0,2,30],[0,3,20],[1,2,10],[1,3,3],[2,3,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,30],[0,3,20],[1,2,10],[1,3,3],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,30],[0,3,20],[1,2,10],[1,3,3],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,30],[0,3,20],[1,2,10],[1,3,3],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (1,2)=10, w=13\",\"Add (0,3)=20, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,30],[0,3,20],[1,2,10],[1,3,3],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (1,2)=10 Succeeded, w=13\",\"Add (0,3)=20 Succeeded, w=33\",\"Add (0,2)=30 Failed, w=33\",\"Add (2,3)=44 Failed, w=33\",\"Add (0,1)=92 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,30],[0,3,20],[1,2,10],[1,3,3],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=10,(0,3)=20,(0,2)=30,(2,3)=44,(0,1)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=13\",\"Find(0)=0, Find(3)=1, Add (0,3)=20 Succeeded, w=33\",\"Find(0)=1, Find(2)=1, Add (0,2)=30 Failed, w=33\",\"Find(2)=1, Find(3)=1, Add (2,3)=44 Failed, w=33\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,30],[0,3,20],[1,2,10],[1,3,3],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=10,(0,3)=20,(0,2)=30,(2,3)=44,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=20 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=30 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=44 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,3,78],[0,4,62],[1,3,1],[1,4,86],[2,3,95],[2,4,90],[3,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,78],[0,4,62],[1,3,1],[1,4,86],[2,3,95],[2,4,90],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,78],[0,4,62],[1,3,1],[1,4,86],[2,3,95],[2,4,90],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,78],[0,4,62],[1,3,1],[1,4,86],[2,3,95],[2,4,90],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (3,4)=46, w=47\",\"Add (0,4)=62, w=109\",\"Add (2,4)=90, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,78],[0,4,62],[1,3,1],[1,4,86],[2,3,95],[2,4,90],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (3,4)=46 Succeeded, w=47\",\"Add (0,4)=62 Succeeded, w=109\",\"Add (0,1)=74 Failed, w=109\",\"Add (0,3)=78 Failed, w=109\",\"Add (1,4)=86 Failed, w=109\",\"Add (2,4)=90 Succeeded, w=199\",\"Add (2,3)=95 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,78],[0,4,62],[1,3,1],[1,4,86],[2,3,95],[2,4,90],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(3,4)=46,(0,4)=62,(0,1)=74,(0,3)=78,(1,4)=86,(2,4)=90,(2,3)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(3)=1, Find(4)=4, Add (3,4)=46 Succeeded, w=47\",\"Find(0)=0, Find(4)=1, Add (0,4)=62 Succeeded, w=109\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=109\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=109\",\"Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=109\",\"Find(2)=2, Find(4)=1, Add (2,4)=90 Succeeded, w=199\",\"Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,3,78],[0,4,62],[1,3,1],[1,4,86],[2,3,95],[2,4,90],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(3,4)=46,(0,4)=62,(0,1)=74,(0,3)=78,(1,4)=86,(2,4)=90,(2,3)=95]\",\"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: 1}, Find(3)=1, Find(4)=4, Add (3,4)=46 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=62 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=90 Succeeded, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,71],[0,2,47],[0,3,35],[0,4,18],[1,2,20],[1,3,20],[1,4,7],[2,3,87],[2,4,89],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,47],[0,3,35],[0,4,18],[1,2,20],[1,3,20],[1,4,7],[2,3,87],[2,4,89],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,47],[0,3,35],[0,4,18],[1,2,20],[1,3,20],[1,4,7],[2,3,87],[2,4,89],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,47],[0,3,35],[0,4,18],[1,2,20],[1,3,20],[1,4,7],[2,3,87],[2,4,89],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7, w=7\",\"Add (0,4)=18, w=25\",\"Add (1,2)=20, w=45\",\"Add (1,3)=20, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,47],[0,3,35],[0,4,18],[1,2,20],[1,3,20],[1,4,7],[2,3,87],[2,4,89],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7 Succeeded, w=7\",\"Add (0,4)=18 Succeeded, w=25\",\"Add (1,2)=20 Succeeded, w=45\",\"Add (1,3)=20 Succeeded, w=65\",\"Add (0,3)=35 Failed, w=65\",\"Add (0,2)=47 Failed, w=65\",\"Add (0,1)=71 Failed, w=65\",\"Add (3,4)=83 Failed, w=65\",\"Add (2,3)=87 Failed, w=65\",\"Add (2,4)=89 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,47],[0,3,35],[0,4,18],[1,2,20],[1,3,20],[1,4,7],[2,3,87],[2,4,89],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7,(0,4)=18,(1,2)=20,(1,3)=20,(0,3)=35,(0,2)=47,(0,1)=71,(3,4)=83,(2,3)=87,(2,4)=89]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=25\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=45\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=65\",\"Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=65\",\"Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=65\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=65\",\"Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=65\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=65\",\"Find(2)=1, Find(4)=1, Add (2,4)=89 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,47],[0,3,35],[0,4,18],[1,2,20],[1,3,20],[1,4,7],[2,3,87],[2,4,89],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7,(0,4)=18,(1,2)=20,(1,3)=20,(0,3)=35,(0,2)=47,(0,1)=71,(3,4)=83,(2,3)=87,(2,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=89 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,65],[0,3,67],[1,2,16],[1,4,23],[1,5,96],[2,4,88],[2,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,65],[0,3,67],[1,2,16],[1,4,23],[1,5,96],[2,4,88],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,65],[0,3,67],[1,2,16],[1,4,23],[1,5,96],[2,4,88],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,65],[0,3,67],[1,2,16],[1,4,23],[1,5,96],[2,4,88],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16, w=16\",\"Add (1,4)=23, w=39\",\"Add (0,2)=65, w=104\",\"Add (0,3)=67, w=171\",\"Add (1,5)=96, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,65],[0,3,67],[1,2,16],[1,4,23],[1,5,96],[2,4,88],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16 Succeeded, w=16\",\"Add (1,4)=23 Succeeded, w=39\",\"Add (0,2)=65 Succeeded, w=104\",\"Add (0,3)=67 Succeeded, w=171\",\"Add (2,4)=88 Failed, w=171\",\"Add (1,5)=96 Succeeded, w=267\",\"Add (2,5)=96 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,65],[0,3,67],[1,2,16],[1,4,23],[1,5,96],[2,4,88],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(1,4)=23,(0,2)=65,(0,3)=67,(2,4)=88,(1,5)=96,(2,5)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=39\",\"Find(0)=0, Find(2)=1, Add (0,2)=65 Succeeded, w=104\",\"Find(0)=1, Find(3)=3, Add (0,3)=67 Succeeded, w=171\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=171\",\"Find(1)=1, Find(5)=5, Add (1,5)=96 Succeeded, w=267\",\"Find(2)=1, Find(5)=1, Add (2,5)=96 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,65],[0,3,67],[1,2,16],[1,4,23],[1,5,96],[2,4,88],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(1,4)=23,(0,2)=65,(0,3)=67,(2,4)=88,(1,5)=96,(2,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=65 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(3)=3, Add (0,3)=67 Succeeded, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=96 Succeeded, w=267\",\"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=267\"],\"Answer\":267}",
"role": "assistant"
}
]
|
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