graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
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| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
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| messages_l5
listlengths 2
2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,47],[1,4,96],[2,3,75],[3,4,71],[4,5,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,47],[1,4,96],[2,3,75],[3,4,71],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":386}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,47],[1,4,96],[2,3,75],[3,4,71],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (4,5)\"],\"Answer\":386}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,47],[1,4,96],[2,3,75],[3,4,71],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=47, w=47\",\"Add (3,4)=71, w=118\",\"Add (2,3)=75, w=193\",\"Add (1,4)=96, w=289\",\"Add (4,5)=97, w=386\"],\"Answer\":386}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,47],[1,4,96],[2,3,75],[3,4,71],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=47 Succeeded, w=47\",\"Add (3,4)=71 Succeeded, w=118\",\"Add (2,3)=75 Succeeded, w=193\",\"Add (1,4)=96 Succeeded, w=289\",\"Add (4,5)=97 Succeeded, w=386\"],\"Answer\":386}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,47],[1,4,96],[2,3,75],[3,4,71],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=47,(3,4)=71,(2,3)=75,(1,4)=96,(4,5)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=47 Succeeded, w=47\",\"Find(3)=3, Find(4)=0, Add (3,4)=71 Succeeded, w=118\",\"Find(2)=2, Find(3)=0, Add (2,3)=75 Succeeded, w=193\",\"Find(1)=1, Find(4)=0, Add (1,4)=96 Succeeded, w=289\",\"Find(4)=0, Find(5)=5, Add (4,5)=97 Succeeded, w=386\"],\"Answer\":386}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,47],[1,4,96],[2,3,75],[3,4,71],[4,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=47,(3,4)=71,(2,3)=75,(1,4)=96,(4,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=47 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=3, Find(4)=0, Add (3,4)=71 Succeeded, w=118\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=2, Find(3)=0, Add (2,3)=75 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=96 Succeeded, w=289\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=97 Succeeded, w=386\"],\"Answer\":386}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,3],[0,2,75],[0,3,48],[0,4,70],[1,2,15],[1,3,16],[1,4,81],[3,4,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,75],[0,3,48],[0,4,70],[1,2,15],[1,3,16],[1,4,81],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,75],[0,3,48],[0,4,70],[1,2,15],[1,3,16],[1,4,81],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,75],[0,3,48],[0,4,70],[1,2,15],[1,3,16],[1,4,81],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (1,2)=15, w=18\",\"Add (1,3)=16, w=34\",\"Add (0,4)=70, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,75],[0,3,48],[0,4,70],[1,2,15],[1,3,16],[1,4,81],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (1,2)=15 Succeeded, w=18\",\"Add (1,3)=16 Succeeded, w=34\",\"Add (0,3)=48 Failed, w=34\",\"Add (0,4)=70 Succeeded, w=104\",\"Add (3,4)=72 Failed, w=104\",\"Add (0,2)=75 Failed, w=104\",\"Add (1,4)=81 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,75],[0,3,48],[0,4,70],[1,2,15],[1,3,16],[1,4,81],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,2)=15,(1,3)=16,(0,3)=48,(0,4)=70,(3,4)=72,(0,2)=75,(1,4)=81]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(1)=0, Find(2)=2, Add (1,2)=15 Succeeded, w=18\",\"Find(1)=0, Find(3)=3, Add (1,3)=16 Succeeded, w=34\",\"Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=34\",\"Find(0)=0, Find(4)=4, Add (0,4)=70 Succeeded, w=104\",\"Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=104\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=104\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,75],[0,3,48],[0,4,70],[1,2,15],[1,3,16],[1,4,81],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,2)=15,(1,3)=16,(0,3)=48,(0,4)=70,(3,4)=72,(0,2)=75,(1,4)=81]\",\"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)=15 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=16 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=70 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,3],[0,2,4],[0,3,22],[0,4,20],[0,5,10],[0,6,91],[0,7,28],[1,4,33],[1,5,90],[1,6,29],[2,3,56],[2,4,35],[2,6,45],[2,7,61],[3,4,90],[4,5,5],[4,6,38],[4,7,30],[5,7,59],[6,7,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,4],[0,3,22],[0,4,20],[0,5,10],[0,6,91],[0,7,28],[1,4,33],[1,5,90],[1,6,29],[2,3,56],[2,4,35],[2,6,45],[2,7,61],[3,4,90],[4,5,5],[4,6,38],[4,7,30],[5,7,59],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,4],[0,3,22],[0,4,20],[0,5,10],[0,6,91],[0,7,28],[1,4,33],[1,5,90],[1,6,29],[2,3,56],[2,4,35],[2,6,45],[2,7,61],[3,4,90],[4,5,5],[4,6,38],[4,7,30],[5,7,59],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (0,7)\",\"Add (1,6)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,4],[0,3,22],[0,4,20],[0,5,10],[0,6,91],[0,7,28],[1,4,33],[1,5,90],[1,6,29],[2,3,56],[2,4,35],[2,6,45],[2,7,61],[3,4,90],[4,5,5],[4,6,38],[4,7,30],[5,7,59],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,2)=4, w=7\",\"Add (4,5)=5, w=12\",\"Add (0,5)=10, w=22\",\"Add (0,3)=22, w=44\",\"Add (0,7)=28, w=72\",\"Add (1,6)=29, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,4],[0,3,22],[0,4,20],[0,5,10],[0,6,91],[0,7,28],[1,4,33],[1,5,90],[1,6,29],[2,3,56],[2,4,35],[2,6,45],[2,7,61],[3,4,90],[4,5,5],[4,6,38],[4,7,30],[5,7,59],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,2)=4 Succeeded, w=7\",\"Add (4,5)=5 Succeeded, w=12\",\"Add (0,5)=10 Succeeded, w=22\",\"Add (0,4)=20 Failed, w=22\",\"Add (0,3)=22 Succeeded, w=44\",\"Add (0,7)=28 Succeeded, w=72\",\"Add (1,6)=29 Succeeded, w=101\",\"Add (4,7)=30 Failed, w=101\",\"Add (1,4)=33 Failed, w=101\",\"Add (2,4)=35 Failed, w=101\",\"Add (4,6)=38 Failed, w=101\",\"Add (2,6)=45 Failed, w=101\",\"Add (2,3)=56 Failed, w=101\",\"Add (5,7)=59 Failed, w=101\",\"Add (2,7)=61 Failed, w=101\",\"Add (6,7)=80 Failed, w=101\",\"Add (1,5)=90 Failed, w=101\",\"Add (3,4)=90 Failed, w=101\",\"Add (0,6)=91 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,4],[0,3,22],[0,4,20],[0,5,10],[0,6,91],[0,7,28],[1,4,33],[1,5,90],[1,6,29],[2,3,56],[2,4,35],[2,6,45],[2,7,61],[3,4,90],[4,5,5],[4,6,38],[4,7,30],[5,7,59],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=4,(4,5)=5,(0,5)=10,(0,4)=20,(0,3)=22,(0,7)=28,(1,6)=29,(4,7)=30,(1,4)=33,(2,4)=35,(4,6)=38,(2,6)=45,(2,3)=56,(5,7)=59,(2,7)=61,(6,7)=80,(1,5)=90,(3,4)=90,(0,6)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=7\",\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=12\",\"Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=22\",\"Find(0)=0, Find(4)=0, Add (0,4)=20 Failed, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=44\",\"Find(0)=0, Find(7)=7, Add (0,7)=28 Succeeded, w=72\",\"Find(1)=0, Find(6)=6, Add (1,6)=29 Succeeded, w=101\",\"Find(4)=0, Find(7)=0, Add (4,7)=30 Failed, w=101\",\"Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=101\",\"Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=101\",\"Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=101\",\"Find(2)=0, Find(6)=0, Add (2,6)=45 Failed, w=101\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=101\",\"Find(5)=0, Find(7)=0, Add (5,7)=59 Failed, w=101\",\"Find(2)=0, Find(7)=0, Add (2,7)=61 Failed, w=101\",\"Find(6)=0, Find(7)=0, Add (6,7)=80 Failed, w=101\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=101\",\"Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=101\",\"Find(0)=0, Find(6)=0, Add (0,6)=91 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,2,4],[0,3,22],[0,4,20],[0,5,10],[0,6,91],[0,7,28],[1,4,33],[1,5,90],[1,6,29],[2,3,56],[2,4,35],[2,6,45],[2,7,61],[3,4,90],[4,5,5],[4,6,38],[4,7,30],[5,7,59],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,2)=4,(4,5)=5,(0,5)=10,(0,4)=20,(0,3)=22,(0,7)=28,(1,6)=29,(4,7)=30,(1,4)=33,(2,4)=35,(4,6)=38,(2,6)=45,(2,3)=56,(5,7)=59,(2,7)=61,(6,7)=80,(1,5)=90,(3,4)=90,(0,6)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(4)=0, Add (0,4)=20 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=28 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(6)=6, Add (1,6)=29 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=30 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=45 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=101\",\"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)=59 Failed, w=101\",\"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)=61 Failed, w=101\",\"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=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=101\",\"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)=90 Failed, w=101\",\"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)=91 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,27],[0,2,37],[0,3,38],[0,4,33],[1,2,62],[1,3,86],[1,4,33],[2,3,51],[2,4,5],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,37],[0,3,38],[0,4,33],[1,2,62],[1,3,86],[1,4,33],[2,3,51],[2,4,5],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,37],[0,3,38],[0,4,33],[1,2,62],[1,3,86],[1,4,33],[2,3,51],[2,4,5],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,37],[0,3,38],[0,4,33],[1,2,62],[1,3,86],[1,4,33],[2,3,51],[2,4,5],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (0,1)=27, w=32\",\"Add (3,4)=29, w=61\",\"Add (0,4)=33, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,37],[0,3,38],[0,4,33],[1,2,62],[1,3,86],[1,4,33],[2,3,51],[2,4,5],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (0,1)=27 Succeeded, w=32\",\"Add (3,4)=29 Succeeded, w=61\",\"Add (0,4)=33 Succeeded, w=94\",\"Add (1,4)=33 Failed, w=94\",\"Add (0,2)=37 Failed, w=94\",\"Add (0,3)=38 Failed, w=94\",\"Add (2,3)=51 Failed, w=94\",\"Add (1,2)=62 Failed, w=94\",\"Add (1,3)=86 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,37],[0,3,38],[0,4,33],[1,2,62],[1,3,86],[1,4,33],[2,3,51],[2,4,5],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(0,1)=27,(3,4)=29,(0,4)=33,(1,4)=33,(0,2)=37,(0,3)=38,(2,3)=51,(1,2)=62,(1,3)=86]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=32\",\"Find(3)=3, Find(4)=2, Add (3,4)=29 Succeeded, w=61\",\"Find(0)=0, Find(4)=2, Add (0,4)=33 Succeeded, w=94\",\"Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=94\",\"Find(0)=0, Find(2)=0, Add (0,2)=37 Failed, w=94\",\"Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=94\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=94\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=94\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,37],[0,3,38],[0,4,33],[1,2,62],[1,3,86],[1,4,33],[2,3,51],[2,4,5],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(0,1)=27,(3,4)=29,(0,4)=33,(1,4)=33,(0,2)=37,(0,3)=38,(2,3)=51,(1,2)=62,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=29 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=33 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=33 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=37 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,75],[0,4,5],[2,3,82],[2,4,40],[2,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,75],[0,4,5],[2,3,82],[2,4,40],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,75],[0,4,5],[2,3,82],[2,4,40],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (2,5)\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,75],[0,4,5],[2,3,82],[2,4,40],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (2,4)=40, w=45\",\"Add (0,3)=75, w=120\",\"Add (2,5)=96, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,75],[0,4,5],[2,3,82],[2,4,40],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (2,4)=40 Succeeded, w=45\",\"Add (0,3)=75 Succeeded, w=120\",\"Add (2,3)=82 Failed, w=120\",\"Add (2,5)=96 Succeeded, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,75],[0,4,5],[2,3,82],[2,4,40],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(2,4)=40,(0,3)=75,(2,3)=82,(2,5)=96]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=45\",\"Find(0)=0, Find(3)=3, Add (0,3)=75 Succeeded, w=120\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=120\",\"Find(2)=0, Find(5)=5, Add (2,5)=96 Succeeded, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,75],[0,4,5],[2,3,82],[2,4,40],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(2,4)=40,(0,3)=75,(2,3)=82,(2,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=75 Succeeded, w=120\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=120\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=96 Succeeded, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,2,70],[0,3,68],[0,4,75],[0,5,4],[0,6,91],[1,2,98],[1,4,95],[1,5,99],[1,6,80],[1,7,61],[2,3,83],[2,4,18],[2,5,94],[2,6,96],[2,7,47],[3,4,72],[3,5,49],[3,6,31],[3,7,91],[4,5,85],[4,6,56],[4,7,96],[5,6,94],[5,7,61],[6,7,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,70],[0,3,68],[0,4,75],[0,5,4],[0,6,91],[1,2,98],[1,4,95],[1,5,99],[1,6,80],[1,7,61],[2,3,83],[2,4,18],[2,5,94],[2,6,96],[2,7,47],[3,4,72],[3,5,49],[3,6,31],[3,7,91],[4,5,85],[4,6,56],[4,7,96],[5,6,94],[5,7,61],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":222}",
"role": "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],[0,2,70],[0,3,68],[0,4,75],[0,5,4],[0,6,91],[1,2,98],[1,4,95],[1,5,99],[1,6,80],[1,7,61],[2,3,83],[2,4,18],[2,5,94],[2,6,96],[2,7,47],[3,4,72],[3,5,49],[3,6,31],[3,7,91],[4,5,85],[4,6,56],[4,7,96],[5,6,94],[5,7,61],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (6,7)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (2,7)\",\"Add (3,5)\",\"Add (1,7)\"],\"Answer\":222}",
"role": "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],[0,2,70],[0,3,68],[0,4,75],[0,5,4],[0,6,91],[1,2,98],[1,4,95],[1,5,99],[1,6,80],[1,7,61],[2,3,83],[2,4,18],[2,5,94],[2,6,96],[2,7,47],[3,4,72],[3,5,49],[3,6,31],[3,7,91],[4,5,85],[4,6,56],[4,7,96],[5,6,94],[5,7,61],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4, w=4\",\"Add (6,7)=12, w=16\",\"Add (2,4)=18, w=34\",\"Add (3,6)=31, w=65\",\"Add (2,7)=47, w=112\",\"Add (3,5)=49, w=161\",\"Add (1,7)=61, w=222\"],\"Answer\":222}",
"role": "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],[0,2,70],[0,3,68],[0,4,75],[0,5,4],[0,6,91],[1,2,98],[1,4,95],[1,5,99],[1,6,80],[1,7,61],[2,3,83],[2,4,18],[2,5,94],[2,6,96],[2,7,47],[3,4,72],[3,5,49],[3,6,31],[3,7,91],[4,5,85],[4,6,56],[4,7,96],[5,6,94],[5,7,61],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4 Succeeded, w=4\",\"Add (6,7)=12 Succeeded, w=16\",\"Add (2,4)=18 Succeeded, w=34\",\"Add (3,6)=31 Succeeded, w=65\",\"Add (2,7)=47 Succeeded, w=112\",\"Add (3,5)=49 Succeeded, w=161\",\"Add (4,6)=56 Failed, w=161\",\"Add (1,7)=61 Succeeded, w=222\",\"Add (5,7)=61 Failed, w=222\",\"Add (0,1)=67 Failed, w=222\",\"Add (0,3)=68 Failed, w=222\",\"Add (0,2)=70 Failed, w=222\",\"Add (3,4)=72 Failed, w=222\",\"Add (0,4)=75 Failed, w=222\",\"Add (1,6)=80 Failed, w=222\",\"Add (2,3)=83 Failed, w=222\",\"Add (4,5)=85 Failed, w=222\",\"Add (0,6)=91 Failed, w=222\",\"Add (3,7)=91 Failed, w=222\",\"Add (2,5)=94 Failed, w=222\",\"Add (5,6)=94 Failed, w=222\",\"Add (1,4)=95 Failed, w=222\",\"Add (2,6)=96 Failed, w=222\",\"Add (4,7)=96 Failed, w=222\",\"Add (1,2)=98 Failed, w=222\",\"Add (1,5)=99 Failed, w=222\"],\"Answer\":222}",
"role": "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],[0,2,70],[0,3,68],[0,4,75],[0,5,4],[0,6,91],[1,2,98],[1,4,95],[1,5,99],[1,6,80],[1,7,61],[2,3,83],[2,4,18],[2,5,94],[2,6,96],[2,7,47],[3,4,72],[3,5,49],[3,6,31],[3,7,91],[4,5,85],[4,6,56],[4,7,96],[5,6,94],[5,7,61],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(6,7)=12,(2,4)=18,(3,6)=31,(2,7)=47,(3,5)=49,(4,6)=56,(1,7)=61,(5,7)=61,(0,1)=67,(0,3)=68,(0,2)=70,(3,4)=72,(0,4)=75,(1,6)=80,(2,3)=83,(4,5)=85,(0,6)=91,(3,7)=91,(2,5)=94,(5,6)=94,(1,4)=95,(2,6)=96,(4,7)=96,(1,2)=98,(1,5)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Find(6)=6, Find(7)=7, Add (6,7)=12 Succeeded, w=16\",\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=34\",\"Find(3)=3, Find(6)=6, Add (3,6)=31 Succeeded, w=65\",\"Find(2)=2, Find(7)=6, Add (2,7)=47 Succeeded, w=112\",\"Find(3)=2, Find(5)=0, Add (3,5)=49 Succeeded, w=161\",\"Find(4)=2, Find(6)=2, Add (4,6)=56 Failed, w=161\",\"Find(1)=1, Find(7)=2, Add (1,7)=61 Succeeded, w=222\",\"Find(5)=2, Find(7)=2, Add (5,7)=61 Failed, w=222\",\"Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=222\",\"Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=222\",\"Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=222\",\"Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=222\",\"Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=222\",\"Find(1)=2, Find(6)=2, Add (1,6)=80 Failed, w=222\",\"Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=222\",\"Find(4)=2, Find(5)=2, Add (4,5)=85 Failed, w=222\",\"Find(0)=2, Find(6)=2, Add (0,6)=91 Failed, w=222\",\"Find(3)=2, Find(7)=2, Add (3,7)=91 Failed, w=222\",\"Find(2)=2, Find(5)=2, Add (2,5)=94 Failed, w=222\",\"Find(5)=2, Find(6)=2, Add (5,6)=94 Failed, w=222\",\"Find(1)=2, Find(4)=2, Add (1,4)=95 Failed, w=222\",\"Find(2)=2, Find(6)=2, Add (2,6)=96 Failed, w=222\",\"Find(4)=2, Find(7)=2, Add (4,7)=96 Failed, w=222\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=222\",\"Find(1)=2, Find(5)=2, Add (1,5)=99 Failed, w=222\"],\"Answer\":222}",
"role": "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],[0,2,70],[0,3,68],[0,4,75],[0,5,4],[0,6,91],[1,2,98],[1,4,95],[1,5,99],[1,6,80],[1,7,61],[2,3,83],[2,4,18],[2,5,94],[2,6,96],[2,7,47],[3,4,72],[3,5,49],[3,6,31],[3,7,91],[4,5,85],[4,6,56],[4,7,96],[5,6,94],[5,7,61],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(6,7)=12,(2,4)=18,(3,6)=31,(2,7)=47,(3,5)=49,(4,6)=56,(1,7)=61,(5,7)=61,(0,1)=67,(0,3)=68,(0,2)=70,(3,4)=72,(0,4)=75,(1,6)=80,(2,3)=83,(4,5)=85,(0,6)=91,(3,7)=91,(2,5)=94,(5,6)=94,(1,4)=95,(2,6)=96,(4,7)=96,(1,2)=98,(1,5)=99]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 6, 7: 6}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 2, 5: 0, 6: 6, 7: 6}, Find(3)=3, Find(6)=6, Add (3,6)=31 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 2, 5: 0, 6: 2, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=47 Succeeded, w=112\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 6}, Find(3)=2, Find(5)=0, Add (3,5)=49 Succeeded, w=161\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 6}, Find(4)=2, Find(6)=2, Add (4,6)=56 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=61 Succeeded, w=222\",\"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)=61 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=222\",\"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)=68 Failed, w=222\",\"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)=70 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=222\",\"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)=80 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=83 Failed, w=222\",\"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)=85 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=91 Failed, w=222\",\"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)=91 Failed, w=222\",\"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)=94 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=94 Failed, w=222\",\"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)=95 Failed, w=222\",\"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)=96 Failed, w=222\",\"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)=96 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=222\",\"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)=99 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,56],[0,2,39],[0,3,36],[0,4,65],[0,5,60],[1,2,73],[1,3,30],[1,4,63],[1,5,82],[2,3,92],[2,4,60],[2,5,51],[3,4,77],[3,5,94],[4,5,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,39],[0,3,36],[0,4,65],[0,5,60],[1,2,73],[1,3,30],[1,4,63],[1,5,82],[2,3,92],[2,4,60],[2,5,51],[3,4,77],[3,5,94],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,39],[0,3,36],[0,4,65],[0,5,60],[1,2,73],[1,3,30],[1,4,63],[1,5,82],[2,3,92],[2,4,60],[2,5,51],[3,4,77],[3,5,94],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (2,4)\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,39],[0,3,36],[0,4,65],[0,5,60],[1,2,73],[1,3,30],[1,4,63],[1,5,82],[2,3,92],[2,4,60],[2,5,51],[3,4,77],[3,5,94],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=30, w=30\",\"Add (0,3)=36, w=66\",\"Add (0,2)=39, w=105\",\"Add (2,5)=51, w=156\",\"Add (2,4)=60, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,39],[0,3,36],[0,4,65],[0,5,60],[1,2,73],[1,3,30],[1,4,63],[1,5,82],[2,3,92],[2,4,60],[2,5,51],[3,4,77],[3,5,94],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=30 Succeeded, w=30\",\"Add (0,3)=36 Succeeded, w=66\",\"Add (0,2)=39 Succeeded, w=105\",\"Add (2,5)=51 Succeeded, w=156\",\"Add (0,1)=56 Failed, w=156\",\"Add (0,5)=60 Failed, w=156\",\"Add (2,4)=60 Succeeded, w=216\",\"Add (1,4)=63 Failed, w=216\",\"Add (0,4)=65 Failed, w=216\",\"Add (1,2)=73 Failed, w=216\",\"Add (3,4)=77 Failed, w=216\",\"Add (4,5)=78 Failed, w=216\",\"Add (1,5)=82 Failed, w=216\",\"Add (2,3)=92 Failed, w=216\",\"Add (3,5)=94 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,39],[0,3,36],[0,4,65],[0,5,60],[1,2,73],[1,3,30],[1,4,63],[1,5,82],[2,3,92],[2,4,60],[2,5,51],[3,4,77],[3,5,94],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=30,(0,3)=36,(0,2)=39,(2,5)=51,(0,1)=56,(0,5)=60,(2,4)=60,(1,4)=63,(0,4)=65,(1,2)=73,(3,4)=77,(4,5)=78,(1,5)=82,(2,3)=92,(3,5)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=30\",\"Find(0)=0, Find(3)=1, Add (0,3)=36 Succeeded, w=66\",\"Find(0)=1, Find(2)=2, Add (0,2)=39 Succeeded, w=105\",\"Find(2)=1, Find(5)=5, Add (2,5)=51 Succeeded, w=156\",\"Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=156\",\"Find(0)=1, Find(5)=1, Add (0,5)=60 Failed, w=156\",\"Find(2)=1, Find(4)=4, Add (2,4)=60 Succeeded, w=216\",\"Find(1)=1, Find(4)=1, Add (1,4)=63 Failed, w=216\",\"Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=216\",\"Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=216\",\"Find(3)=1, Find(4)=1, Add (3,4)=77 Failed, w=216\",\"Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=216\",\"Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=216\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=216\",\"Find(3)=1, Find(5)=1, Add (3,5)=94 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,39],[0,3,36],[0,4,65],[0,5,60],[1,2,73],[1,3,30],[1,4,63],[1,5,82],[2,3,92],[2,4,60],[2,5,51],[3,4,77],[3,5,94],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=30,(0,3)=36,(0,2)=39,(2,5)=51,(0,1)=56,(0,5)=60,(2,4)=60,(1,4)=63,(0,4)=65,(1,2)=73,(3,4)=77,(4,5)=78,(1,5)=82,(2,3)=92,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=36 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(0)=1, Find(2)=2, Add (0,2)=39 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=51 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=60 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=4, Add (2,4)=60 Succeeded, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=63 Failed, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=77 Failed, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=216\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=94 Failed, w=216\"],\"Answer\":216}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,39],[1,2,27],[1,3,47],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,39],[1,2,27],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,39],[1,2,27],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,39],[1,2,27],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21, w=21\",\"Add (1,2)=27, w=48\",\"Add (0,1)=36, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,39],[1,2,27],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=21 Succeeded, w=21\",\"Add (1,2)=27 Succeeded, w=48\",\"Add (0,1)=36 Succeeded, w=84\",\"Add (0,2)=39 Failed, w=84\",\"Add (1,3)=47 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,39],[1,2,27],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(1,2)=27,(0,1)=36,(0,2)=39,(1,3)=47]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=48\",\"Find(0)=0, Find(1)=2, Add (0,1)=36 Succeeded, w=84\",\"Find(0)=2, Find(2)=2, Add (0,2)=39 Failed, w=84\",\"Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,39],[1,2,27],[1,3,47],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=21,(1,2)=27,(0,1)=36,(0,2)=39,(1,3)=47]\",\"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)=27 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=36 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=39 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,48],[0,4,54],[0,5,49],[1,2,59],[1,4,0],[1,5,61],[2,3,15],[2,4,32],[2,5,56],[3,4,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,54],[0,5,49],[1,2,59],[1,4,0],[1,5,61],[2,3,15],[2,4,32],[2,5,56],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,54],[0,5,49],[1,2,59],[1,4,0],[1,5,61],[2,3,15],[2,4,32],[2,5,56],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (0,5)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,54],[0,5,49],[1,2,59],[1,4,0],[1,5,61],[2,3,15],[2,4,32],[2,5,56],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (2,3)=15, w=15\",\"Add (3,4)=31, w=46\",\"Add (0,2)=48, w=94\",\"Add (0,5)=49, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,54],[0,5,49],[1,2,59],[1,4,0],[1,5,61],[2,3,15],[2,4,32],[2,5,56],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (2,3)=15 Succeeded, w=15\",\"Add (3,4)=31 Succeeded, w=46\",\"Add (2,4)=32 Failed, w=46\",\"Add (0,2)=48 Succeeded, w=94\",\"Add (0,5)=49 Succeeded, w=143\",\"Add (0,4)=54 Failed, w=143\",\"Add (2,5)=56 Failed, w=143\",\"Add (1,2)=59 Failed, w=143\",\"Add (1,5)=61 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,54],[0,5,49],[1,2,59],[1,4,0],[1,5,61],[2,3,15],[2,4,32],[2,5,56],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,3)=15,(3,4)=31,(2,4)=32,(0,2)=48,(0,5)=49,(0,4)=54,(2,5)=56,(1,2)=59,(1,5)=61]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(3)=2, Find(4)=1, Add (3,4)=31 Succeeded, w=46\",\"Find(2)=2, Find(4)=2, Add (2,4)=32 Failed, w=46\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=94\",\"Find(0)=2, Find(5)=5, Add (0,5)=49 Succeeded, w=143\",\"Find(0)=2, Find(4)=2, Add (0,4)=54 Failed, w=143\",\"Find(2)=2, Find(5)=2, Add (2,5)=56 Failed, w=143\",\"Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=143\",\"Find(1)=2, Find(5)=2, Add (1,5)=61 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,54],[0,5,49],[1,2,59],[1,4,0],[1,5,61],[2,3,15],[2,4,32],[2,5,56],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,3)=15,(3,4)=31,(2,4)=32,(0,2)=48,(0,5)=49,(0,4)=54,(2,5)=56,(1,2)=59,(1,5)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 5}, Find(3)=2, Find(4)=1, Add (3,4)=31 Succeeded, w=46\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(2)=2, Find(4)=2, Add (2,4)=32 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=5, Add (0,5)=49 Succeeded, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=54 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=56 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=61 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,79],[0,5,0],[1,2,41],[1,3,24],[1,4,92],[2,3,30],[3,4,80],[3,5,36],[4,5,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,79],[0,5,0],[1,2,41],[1,3,24],[1,4,92],[2,3,30],[3,4,80],[3,5,36],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,79],[0,5,0],[1,2,41],[1,3,24],[1,4,92],[2,3,30],[3,4,80],[3,5,36],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (4,5)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,79],[0,5,0],[1,2,41],[1,3,24],[1,4,92],[2,3,30],[3,4,80],[3,5,36],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (1,3)=24, w=24\",\"Add (2,3)=30, w=54\",\"Add (3,5)=36, w=90\",\"Add (4,5)=55, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,79],[0,5,0],[1,2,41],[1,3,24],[1,4,92],[2,3,30],[3,4,80],[3,5,36],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (1,3)=24 Succeeded, w=24\",\"Add (2,3)=30 Succeeded, w=54\",\"Add (3,5)=36 Succeeded, w=90\",\"Add (1,2)=41 Failed, w=90\",\"Add (4,5)=55 Succeeded, w=145\",\"Add (0,4)=79 Failed, w=145\",\"Add (3,4)=80 Failed, w=145\",\"Add (1,4)=92 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,79],[0,5,0],[1,2,41],[1,3,24],[1,4,92],[2,3,30],[3,4,80],[3,5,36],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,3)=24,(2,3)=30,(3,5)=36,(1,2)=41,(4,5)=55,(0,4)=79,(3,4)=80,(1,4)=92]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(2)=2, Find(3)=1, Add (2,3)=30 Succeeded, w=54\",\"Find(3)=1, Find(5)=0, Add (3,5)=36 Succeeded, w=90\",\"Find(1)=1, Find(2)=1, Add (1,2)=41 Failed, w=90\",\"Find(4)=4, Find(5)=1, Add (4,5)=55 Succeeded, w=145\",\"Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=145\",\"Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=145\",\"Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,79],[0,5,0],[1,2,41],[1,3,24],[1,4,92],[2,3,30],[3,4,80],[3,5,36],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,3)=24,(2,3)=30,(3,5)=36,(1,2)=41,(4,5)=55,(0,4)=79,(3,4)=80,(1,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(2)=2, Find(3)=1, Add (2,3)=30 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(3)=1, Find(5)=0, Add (3,5)=36 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0}, Find(1)=1, Find(2)=1, Add (1,2)=41 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=55 Succeeded, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,14],[0,2,24],[0,3,59],[1,2,98],[1,3,42],[2,3,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[0,3,59],[1,2,98],[1,3,42],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[0,3,59],[1,2,98],[1,3,42],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[0,3,59],[1,2,98],[1,3,42],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (0,2)=24, w=38\",\"Add (1,3)=42, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[0,3,59],[1,2,98],[1,3,42],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (0,2)=24 Succeeded, w=38\",\"Add (1,3)=42 Succeeded, w=80\",\"Add (2,3)=53 Failed, w=80\",\"Add (0,3)=59 Failed, w=80\",\"Add (1,2)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[0,3,59],[1,2,98],[1,3,42],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,2)=24,(1,3)=42,(2,3)=53,(0,3)=59,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=38\",\"Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=80\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=80\",\"Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=80\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,24],[0,3,59],[1,2,98],[1,3,42],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,2)=24,(1,3)=42,(2,3)=53,(0,3)=59,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,8],[0,4,26],[0,5,85],[1,2,92],[1,3,69],[1,4,33],[1,5,2],[2,3,79],[2,4,58],[2,5,78],[3,4,12],[3,5,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,4,26],[0,5,85],[1,2,92],[1,3,69],[1,4,33],[1,5,2],[2,3,79],[2,4,58],[2,5,78],[3,4,12],[3,5,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,4,26],[0,5,85],[1,2,92],[1,3,69],[1,4,33],[1,5,2],[2,3,79],[2,4,58],[2,5,78],[3,4,12],[3,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,4,26],[0,5,85],[1,2,92],[1,3,69],[1,4,33],[1,5,2],[2,3,79],[2,4,58],[2,5,78],[3,4,12],[3,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2, w=2\",\"Add (0,1)=8, w=10\",\"Add (3,4)=12, w=22\",\"Add (0,4)=26, w=48\",\"Add (2,4)=58, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,4,26],[0,5,85],[1,2,92],[1,3,69],[1,4,33],[1,5,2],[2,3,79],[2,4,58],[2,5,78],[3,4,12],[3,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2 Succeeded, w=2\",\"Add (0,1)=8 Succeeded, w=10\",\"Add (3,4)=12 Succeeded, w=22\",\"Add (0,4)=26 Succeeded, w=48\",\"Add (1,4)=33 Failed, w=48\",\"Add (2,4)=58 Succeeded, w=106\",\"Add (1,3)=69 Failed, w=106\",\"Add (2,5)=78 Failed, w=106\",\"Add (3,5)=78 Failed, w=106\",\"Add (2,3)=79 Failed, w=106\",\"Add (0,5)=85 Failed, w=106\",\"Add (1,2)=92 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,4,26],[0,5,85],[1,2,92],[1,3,69],[1,4,33],[1,5,2],[2,3,79],[2,4,58],[2,5,78],[3,4,12],[3,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(0,1)=8,(3,4)=12,(0,4)=26,(1,4)=33,(2,4)=58,(1,3)=69,(2,5)=78,(3,5)=78,(2,3)=79,(0,5)=85,(1,2)=92]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=10\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=22\",\"Find(0)=1, Find(4)=3, Add (0,4)=26 Succeeded, w=48\",\"Find(1)=1, Find(4)=1, Add (1,4)=33 Failed, w=48\",\"Find(2)=2, Find(4)=1, Add (2,4)=58 Succeeded, w=106\",\"Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=106\",\"Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=106\",\"Find(3)=1, Find(5)=1, Add (3,5)=78 Failed, w=106\",\"Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=106\",\"Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=106\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,8],[0,4,26],[0,5,85],[1,2,92],[1,3,69],[1,4,33],[1,5,2],[2,3,79],[2,4,58],[2,5,78],[3,4,12],[3,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(0,1)=8,(3,4)=12,(0,4)=26,(1,4)=33,(2,4)=58,(1,3)=69,(2,5)=78,(3,5)=78,(2,3)=79,(0,5)=85,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 3, 5: 1}, Find(0)=1, Find(4)=3, Add (0,4)=26 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=33 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(4)=1, Add (2,4)=58 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=69 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=78 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=78 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,100],[0,2,56],[0,3,42],[0,4,82],[0,5,39],[3,4,93],[4,5,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,56],[0,3,42],[0,4,82],[0,5,39],[3,4,93],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,56],[0,3,42],[0,4,82],[0,5,39],[3,4,93],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (0,1)\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,56],[0,3,42],[0,4,82],[0,5,39],[3,4,93],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=39, w=39\",\"Add (0,3)=42, w=81\",\"Add (0,2)=56, w=137\",\"Add (4,5)=76, w=213\",\"Add (0,1)=100, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,56],[0,3,42],[0,4,82],[0,5,39],[3,4,93],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=39 Succeeded, w=39\",\"Add (0,3)=42 Succeeded, w=81\",\"Add (0,2)=56 Succeeded, w=137\",\"Add (4,5)=76 Succeeded, w=213\",\"Add (0,4)=82 Failed, w=213\",\"Add (3,4)=93 Failed, w=213\",\"Add (0,1)=100 Succeeded, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,56],[0,3,42],[0,4,82],[0,5,39],[3,4,93],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=39,(0,3)=42,(0,2)=56,(4,5)=76,(0,4)=82,(3,4)=93,(0,1)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=39 Succeeded, w=39\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=81\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=137\",\"Find(4)=4, Find(5)=0, Add (4,5)=76 Succeeded, w=213\",\"Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=213\",\"Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=213\",\"Find(0)=0, Find(1)=1, Add (0,1)=100 Succeeded, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,56],[0,3,42],[0,4,82],[0,5,39],[3,4,93],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=39,(0,3)=42,(0,2)=56,(4,5)=76,(0,4)=82,(3,4)=93,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=137\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=76 Succeeded, w=213\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=213\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=100 Succeeded, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,70],[0,3,74],[1,2,74],[1,3,70],[2,3,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,70],[0,3,74],[1,2,74],[1,3,70],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,70],[0,3,74],[1,2,74],[1,3,70],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,70],[0,3,74],[1,2,74],[1,3,70],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=54, w=54\",\"Add (0,2)=70, w=124\",\"Add (1,3)=70, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,70],[0,3,74],[1,2,74],[1,3,70],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=54 Succeeded, w=54\",\"Add (0,2)=70 Succeeded, w=124\",\"Add (1,3)=70 Succeeded, w=194\",\"Add (0,3)=74 Failed, w=194\",\"Add (1,2)=74 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,70],[0,3,74],[1,2,74],[1,3,70],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=54,(0,2)=70,(1,3)=70,(0,3)=74,(1,2)=74]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=54 Succeeded, w=54\",\"Find(0)=0, Find(2)=2, Add (0,2)=70 Succeeded, w=124\",\"Find(1)=1, Find(3)=2, Add (1,3)=70 Succeeded, w=194\",\"Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=194\",\"Find(1)=2, Find(2)=2, Add (1,2)=74 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,70],[0,3,74],[1,2,74],[1,3,70],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=54,(0,2)=70,(1,3)=70,(0,3)=74,(1,2)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=54 Succeeded, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=70 Succeeded, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=70 Succeeded, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=74 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=74 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,43],[0,2,25],[0,3,3],[1,2,23],[1,3,46],[2,3,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,25],[0,3,3],[1,2,23],[1,3,46],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,25],[0,3,3],[1,2,23],[1,3,46],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,25],[0,3,3],[1,2,23],[1,3,46],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (1,2)=23, w=26\",\"Add (0,2)=25, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,25],[0,3,3],[1,2,23],[1,3,46],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,2)=23 Succeeded, w=26\",\"Add (0,2)=25 Succeeded, w=51\",\"Add (0,1)=43 Failed, w=51\",\"Add (1,3)=46 Failed, w=51\",\"Add (2,3)=91 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,25],[0,3,3],[1,2,23],[1,3,46],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,2)=23,(0,2)=25,(0,1)=43,(1,3)=46,(2,3)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=26\",\"Find(0)=0, Find(2)=1, Add (0,2)=25 Succeeded, w=51\",\"Find(0)=0, Find(1)=0, Add (0,1)=43 Failed, w=51\",\"Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=51\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,25],[0,3,3],[1,2,23],[1,3,46],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,2)=23,(0,2)=25,(0,1)=43,(1,3)=46,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=25 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=43 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,2,51],[0,3,96],[1,2,54],[2,3,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,51],[0,3,96],[1,2,54],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,51],[0,3,96],[1,2,54],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,51],[0,3,96],[1,2,54],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9, w=9\",\"Add (0,2)=51, w=60\",\"Add (1,2)=54, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,51],[0,3,96],[1,2,54],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9 Succeeded, w=9\",\"Add (0,2)=51 Succeeded, w=60\",\"Add (1,2)=54 Succeeded, w=114\",\"Add (0,1)=62 Failed, w=114\",\"Add (0,3)=96 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,51],[0,3,96],[1,2,54],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,2)=51,(1,2)=54,(0,1)=62,(0,3)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=60\",\"Find(1)=1, Find(2)=2, Add (1,2)=54 Succeeded, w=114\",\"Find(0)=2, Find(1)=2, Add (0,1)=62 Failed, w=114\",\"Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,51],[0,3,96],[1,2,54],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,2)=51,(1,2)=54,(0,1)=62,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=54 Succeeded, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=62 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,100],[0,3,52],[0,4,7],[0,6,81],[0,7,58],[1,2,68],[1,3,17],[1,4,51],[1,5,26],[1,6,1],[1,7,31],[2,3,18],[2,4,82],[2,5,66],[2,6,39],[3,4,36],[3,6,6],[4,7,81],[5,6,69],[5,7,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,52],[0,4,7],[0,6,81],[0,7,58],[1,2,68],[1,3,17],[1,4,51],[1,5,26],[1,6,1],[1,7,31],[2,3,18],[2,4,82],[2,5,66],[2,6,39],[3,4,36],[3,6,6],[4,7,81],[5,6,69],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,52],[0,4,7],[0,6,81],[0,7,58],[1,2,68],[1,3,17],[1,4,51],[1,5,26],[1,6,1],[1,7,31],[2,3,18],[2,4,82],[2,5,66],[2,6,39],[3,4,36],[3,6,6],[4,7,81],[5,6,69],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (1,7)\",\"Add (3,4)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,52],[0,4,7],[0,6,81],[0,7,58],[1,2,68],[1,3,17],[1,4,51],[1,5,26],[1,6,1],[1,7,31],[2,3,18],[2,4,82],[2,5,66],[2,6,39],[3,4,36],[3,6,6],[4,7,81],[5,6,69],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (3,6)=6, w=7\",\"Add (0,4)=7, w=14\",\"Add (2,3)=18, w=32\",\"Add (1,5)=26, w=58\",\"Add (1,7)=31, w=89\",\"Add (3,4)=36, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,52],[0,4,7],[0,6,81],[0,7,58],[1,2,68],[1,3,17],[1,4,51],[1,5,26],[1,6,1],[1,7,31],[2,3,18],[2,4,82],[2,5,66],[2,6,39],[3,4,36],[3,6,6],[4,7,81],[5,6,69],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (3,6)=6 Succeeded, w=7\",\"Add (0,4)=7 Succeeded, w=14\",\"Add (1,3)=17 Failed, w=14\",\"Add (2,3)=18 Succeeded, w=32\",\"Add (1,5)=26 Succeeded, w=58\",\"Add (1,7)=31 Succeeded, w=89\",\"Add (3,4)=36 Succeeded, w=125\",\"Add (2,6)=39 Failed, w=125\",\"Add (1,4)=51 Failed, w=125\",\"Add (0,3)=52 Failed, w=125\",\"Add (5,7)=54 Failed, w=125\",\"Add (0,7)=58 Failed, w=125\",\"Add (2,5)=66 Failed, w=125\",\"Add (1,2)=68 Failed, w=125\",\"Add (5,6)=69 Failed, w=125\",\"Add (0,6)=81 Failed, w=125\",\"Add (4,7)=81 Failed, w=125\",\"Add (2,4)=82 Failed, w=125\",\"Add (0,2)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,52],[0,4,7],[0,6,81],[0,7,58],[1,2,68],[1,3,17],[1,4,51],[1,5,26],[1,6,1],[1,7,31],[2,3,18],[2,4,82],[2,5,66],[2,6,39],[3,4,36],[3,6,6],[4,7,81],[5,6,69],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(3,6)=6,(0,4)=7,(1,3)=17,(2,3)=18,(1,5)=26,(1,7)=31,(3,4)=36,(2,6)=39,(1,4)=51,(0,3)=52,(5,7)=54,(0,7)=58,(2,5)=66,(1,2)=68,(5,6)=69,(0,6)=81,(4,7)=81,(2,4)=82,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=1, Add (3,6)=6 Succeeded, w=7\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=14\",\"Find(1)=1, Find(3)=1, Add (1,3)=17 Failed, w=14\",\"Find(2)=2, Find(3)=1, Add (2,3)=18 Succeeded, w=32\",\"Find(1)=1, Find(5)=5, Add (1,5)=26 Succeeded, w=58\",\"Find(1)=1, Find(7)=7, Add (1,7)=31 Succeeded, w=89\",\"Find(3)=1, Find(4)=0, Add (3,4)=36 Succeeded, w=125\",\"Find(2)=1, Find(6)=1, Add (2,6)=39 Failed, w=125\",\"Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=125\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=125\",\"Find(5)=1, Find(7)=1, Add (5,7)=54 Failed, w=125\",\"Find(0)=1, Find(7)=1, Add (0,7)=58 Failed, w=125\",\"Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=125\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=125\",\"Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=125\",\"Find(0)=1, Find(6)=1, Add (0,6)=81 Failed, w=125\",\"Find(4)=1, Find(7)=1, Add (4,7)=81 Failed, w=125\",\"Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=125\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,100],[0,3,52],[0,4,7],[0,6,81],[0,7,58],[1,2,68],[1,3,17],[1,4,51],[1,5,26],[1,6,1],[1,7,31],[2,3,18],[2,4,82],[2,5,66],[2,6,39],[3,4,36],[3,6,6],[4,7,81],[5,6,69],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(3,6)=6,(0,4)=7,(1,3)=17,(2,3)=18,(1,5)=26,(1,7)=31,(3,4)=36,(2,6)=39,(1,4)=51,(0,3)=52,(5,7)=54,(0,7)=58,(2,5)=66,(1,2)=68,(5,6)=69,(0,6)=81,(4,7)=81,(2,4)=82,(0,2)=100]\",\"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: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(3)=3, Find(6)=1, Add (3,6)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(3)=1, Add (1,3)=17 Failed, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(3)=1, Add (2,3)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=26 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=31 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=0, Add (3,4)=36 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=39 Failed, w=125\",\"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)=51 Failed, w=125\",\"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=125\",\"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)=54 Failed, w=125\",\"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)=58 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=125\",\"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)=68 Failed, w=125\",\"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)=69 Failed, w=125\",\"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)=81 Failed, w=125\",\"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)=81 Failed, w=125\",\"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)=82 Failed, w=125\",\"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)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,91],[0,4,63],[0,5,29],[1,2,95],[1,3,12],[1,4,46],[1,5,45],[1,7,27],[2,4,21],[2,7,24],[3,5,50],[3,6,33],[3,7,68],[4,5,79],[5,6,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,91],[0,4,63],[0,5,29],[1,2,95],[1,3,12],[1,4,46],[1,5,45],[1,7,27],[2,4,21],[2,7,24],[3,5,50],[3,6,33],[3,7,68],[4,5,79],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,91],[0,4,63],[0,5,29],[1,2,95],[1,3,12],[1,4,46],[1,5,45],[1,7,27],[2,4,21],[2,7,24],[3,5,50],[3,6,33],[3,7,68],[4,5,79],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (2,7)\",\"Add (1,7)\",\"Add (0,5)\",\"Add (3,6)\",\"Add (1,5)\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,91],[0,4,63],[0,5,29],[1,2,95],[1,3,12],[1,4,46],[1,5,45],[1,7,27],[2,4,21],[2,7,24],[3,5,50],[3,6,33],[3,7,68],[4,5,79],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12, w=12\",\"Add (2,4)=21, w=33\",\"Add (2,7)=24, w=57\",\"Add (1,7)=27, w=84\",\"Add (0,5)=29, w=113\",\"Add (3,6)=33, w=146\",\"Add (1,5)=45, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,91],[0,4,63],[0,5,29],[1,2,95],[1,3,12],[1,4,46],[1,5,45],[1,7,27],[2,4,21],[2,7,24],[3,5,50],[3,6,33],[3,7,68],[4,5,79],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12 Succeeded, w=12\",\"Add (2,4)=21 Succeeded, w=33\",\"Add (2,7)=24 Succeeded, w=57\",\"Add (1,7)=27 Succeeded, w=84\",\"Add (0,5)=29 Succeeded, w=113\",\"Add (3,6)=33 Succeeded, w=146\",\"Add (1,5)=45 Succeeded, w=191\",\"Add (1,4)=46 Failed, w=191\",\"Add (3,5)=50 Failed, w=191\",\"Add (5,6)=60 Failed, w=191\",\"Add (0,4)=63 Failed, w=191\",\"Add (3,7)=68 Failed, w=191\",\"Add (4,5)=79 Failed, w=191\",\"Add (0,3)=91 Failed, w=191\",\"Add (1,2)=95 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,91],[0,4,63],[0,5,29],[1,2,95],[1,3,12],[1,4,46],[1,5,45],[1,7,27],[2,4,21],[2,7,24],[3,5,50],[3,6,33],[3,7,68],[4,5,79],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(2,4)=21,(2,7)=24,(1,7)=27,(0,5)=29,(3,6)=33,(1,5)=45,(1,4)=46,(3,5)=50,(5,6)=60,(0,4)=63,(3,7)=68,(4,5)=79,(0,3)=91,(1,2)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=33\",\"Find(2)=2, Find(7)=7, Add (2,7)=24 Succeeded, w=57\",\"Find(1)=1, Find(7)=2, Add (1,7)=27 Succeeded, w=84\",\"Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=113\",\"Find(3)=1, Find(6)=6, Add (3,6)=33 Succeeded, w=146\",\"Find(1)=1, Find(5)=0, Add (1,5)=45 Succeeded, w=191\",\"Find(1)=1, Find(4)=1, Add (1,4)=46 Failed, w=191\",\"Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=191\",\"Find(5)=1, Find(6)=1, Add (5,6)=60 Failed, w=191\",\"Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=191\",\"Find(3)=1, Find(7)=1, Add (3,7)=68 Failed, w=191\",\"Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=191\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=191\",\"Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,91],[0,4,63],[0,5,29],[1,2,95],[1,3,12],[1,4,46],[1,5,45],[1,7,27],[2,4,21],[2,7,24],[3,5,50],[3,6,33],[3,7,68],[4,5,79],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(2,4)=21,(2,7)=24,(1,7)=27,(0,5)=29,(3,6)=33,(1,5)=45,(1,4)=46,(3,5)=50,(5,6)=60,(0,4)=63,(3,7)=68,(4,5)=79,(0,3)=91,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=24 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=27 Succeeded, w=84\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 0, 6: 6, 7: 2}, Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 0, 6: 1, 7: 2}, Find(3)=1, Find(6)=6, Add (3,6)=33 Succeeded, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 0, 6: 1, 7: 2}, Find(1)=1, Find(5)=0, Add (1,5)=45 Succeeded, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 2}, Find(1)=1, Find(4)=1, Add (1,4)=46 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(5)=1, Find(6)=1, Add (5,6)=60 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=191\",\"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)=68 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=191\",\"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)=91 Failed, w=191\",\"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)=95 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,2,26],[0,3,41],[1,2,41],[1,3,63],[2,3,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,26],[0,3,41],[1,2,41],[1,3,63],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,26],[0,3,41],[1,2,41],[1,3,63],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,26],[0,3,41],[1,2,41],[1,3,63],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26, w=26\",\"Add (0,3)=41, w=67\",\"Add (1,2)=41, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,26],[0,3,41],[1,2,41],[1,3,63],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26 Succeeded, w=26\",\"Add (0,3)=41 Succeeded, w=67\",\"Add (1,2)=41 Succeeded, w=108\",\"Add (0,1)=62 Failed, w=108\",\"Add (1,3)=63 Failed, w=108\",\"Add (2,3)=82 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,26],[0,3,41],[1,2,41],[1,3,63],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(0,3)=41,(1,2)=41,(0,1)=62,(1,3)=63,(2,3)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=67\",\"Find(1)=1, Find(2)=0, Add (1,2)=41 Succeeded, w=108\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=108\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=108\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,26],[0,3,41],[1,2,41],[1,3,63],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(0,3)=41,(1,2)=41,(0,1)=62,(1,3)=63,(2,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=41 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,1],[0,5,21],[1,4,100],[1,5,32],[1,6,6],[2,3,47],[2,4,14],[2,6,56],[2,7,40],[3,4,7],[3,5,59],[3,7,40],[5,6,22],[6,7,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,5,21],[1,4,100],[1,5,32],[1,6,6],[2,3,47],[2,4,14],[2,6,56],[2,7,40],[3,4,7],[3,5,59],[3,7,40],[5,6,22],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,5,21],[1,4,100],[1,5,32],[1,6,6],[2,3,47],[2,4,14],[2,6,56],[2,7,40],[3,4,7],[3,5,59],[3,7,40],[5,6,22],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,6)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (2,7)\",\"Add (2,6)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,5,21],[1,4,100],[1,5,32],[1,6,6],[2,3,47],[2,4,14],[2,6,56],[2,7,40],[3,4,7],[3,5,59],[3,7,40],[5,6,22],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (1,6)=6, w=7\",\"Add (3,4)=7, w=14\",\"Add (2,4)=14, w=28\",\"Add (0,5)=21, w=49\",\"Add (2,7)=40, w=89\",\"Add (2,6)=56, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,5,21],[1,4,100],[1,5,32],[1,6,6],[2,3,47],[2,4,14],[2,6,56],[2,7,40],[3,4,7],[3,5,59],[3,7,40],[5,6,22],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (1,6)=6 Succeeded, w=7\",\"Add (3,4)=7 Succeeded, w=14\",\"Add (2,4)=14 Succeeded, w=28\",\"Add (0,5)=21 Succeeded, w=49\",\"Add (5,6)=22 Failed, w=49\",\"Add (1,5)=32 Failed, w=49\",\"Add (2,7)=40 Succeeded, w=89\",\"Add (3,7)=40 Failed, w=89\",\"Add (2,3)=47 Failed, w=89\",\"Add (2,6)=56 Succeeded, w=145\",\"Add (3,5)=59 Failed, w=145\",\"Add (6,7)=99 Failed, w=145\",\"Add (1,4)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,5,21],[1,4,100],[1,5,32],[1,6,6],[2,3,47],[2,4,14],[2,6,56],[2,7,40],[3,4,7],[3,5,59],[3,7,40],[5,6,22],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,6)=6,(3,4)=7,(2,4)=14,(0,5)=21,(5,6)=22,(1,5)=32,(2,7)=40,(3,7)=40,(2,3)=47,(2,6)=56,(3,5)=59,(6,7)=99,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(1)=0, Find(6)=6, Add (1,6)=6 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=14\",\"Find(2)=2, Find(4)=3, Add (2,4)=14 Succeeded, w=28\",\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=49\",\"Find(5)=0, Find(6)=0, Add (5,6)=22 Failed, w=49\",\"Find(1)=0, Find(5)=0, Add (1,5)=32 Failed, w=49\",\"Find(2)=3, Find(7)=7, Add (2,7)=40 Succeeded, w=89\",\"Find(3)=3, Find(7)=3, Add (3,7)=40 Failed, w=89\",\"Find(2)=3, Find(3)=3, Add (2,3)=47 Failed, w=89\",\"Find(2)=3, Find(6)=0, Add (2,6)=56 Succeeded, w=145\",\"Find(3)=3, Find(5)=3, Add (3,5)=59 Failed, w=145\",\"Find(6)=3, Find(7)=3, Add (6,7)=99 Failed, w=145\",\"Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,1],[0,5,21],[1,4,100],[1,5,32],[1,6,6],[2,3,47],[2,4,14],[2,6,56],[2,7,40],[3,4,7],[3,5,59],[3,7,40],[5,6,22],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,6)=6,(3,4)=7,(2,4)=14,(0,5)=21,(5,6)=22,(1,5)=32,(2,7)=40,(3,7)=40,(2,3)=47,(2,6)=56,(3,5)=59,(6,7)=99,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=0, Find(6)=6, Add (1,6)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 0, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 0, 7: 7}, Find(2)=2, Find(4)=3, Add (2,4)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 7}, Find(5)=0, Find(6)=0, Add (5,6)=22 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=32 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(2)=3, Find(7)=7, Add (2,7)=40 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=40 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=47 Failed, w=89\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0, 7: 3}, Find(2)=3, Find(6)=0, Add (2,6)=56 Succeeded, w=145\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=59 Failed, w=145\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=99 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,2,88],[0,3,40],[0,4,73],[0,5,86],[1,2,77],[1,3,92],[1,4,9],[1,5,23],[2,3,9],[2,4,2],[2,5,42],[3,4,41],[3,5,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,88],[0,3,40],[0,4,73],[0,5,86],[1,2,77],[1,3,92],[1,4,9],[1,5,23],[2,3,9],[2,4,2],[2,5,42],[3,4,41],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,88],[0,3,40],[0,4,73],[0,5,86],[1,2,77],[1,3,92],[1,4,9],[1,5,23],[2,3,9],[2,4,2],[2,5,42],[3,4,41],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (0,3)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,88],[0,3,40],[0,4,73],[0,5,86],[1,2,77],[1,3,92],[1,4,9],[1,5,23],[2,3,9],[2,4,2],[2,5,42],[3,4,41],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (1,4)=9, w=11\",\"Add (2,3)=9, w=20\",\"Add (1,5)=23, w=43\",\"Add (0,3)=40, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,88],[0,3,40],[0,4,73],[0,5,86],[1,2,77],[1,3,92],[1,4,9],[1,5,23],[2,3,9],[2,4,2],[2,5,42],[3,4,41],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (1,4)=9 Succeeded, w=11\",\"Add (2,3)=9 Succeeded, w=20\",\"Add (1,5)=23 Succeeded, w=43\",\"Add (0,3)=40 Succeeded, w=83\",\"Add (3,4)=41 Failed, w=83\",\"Add (2,5)=42 Failed, w=83\",\"Add (0,4)=73 Failed, w=83\",\"Add (1,2)=77 Failed, w=83\",\"Add (0,5)=86 Failed, w=83\",\"Add (0,2)=88 Failed, w=83\",\"Add (1,3)=92 Failed, w=83\",\"Add (0,1)=98 Failed, w=83\",\"Add (3,5)=98 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,88],[0,3,40],[0,4,73],[0,5,86],[1,2,77],[1,3,92],[1,4,9],[1,5,23],[2,3,9],[2,4,2],[2,5,42],[3,4,41],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,4)=9,(2,3)=9,(1,5)=23,(0,3)=40,(3,4)=41,(2,5)=42,(0,4)=73,(1,2)=77,(0,5)=86,(0,2)=88,(1,3)=92,(0,1)=98,(3,5)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=2, Add (1,4)=9 Succeeded, w=11\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=20\",\"Find(1)=2, Find(5)=5, Add (1,5)=23 Succeeded, w=43\",\"Find(0)=0, Find(3)=2, Add (0,3)=40 Succeeded, w=83\",\"Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=83\",\"Find(2)=2, Find(5)=2, Add (2,5)=42 Failed, w=83\",\"Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=83\",\"Find(1)=2, Find(2)=2, Add (1,2)=77 Failed, w=83\",\"Find(0)=2, Find(5)=2, Add (0,5)=86 Failed, w=83\",\"Find(0)=2, Find(2)=2, Add (0,2)=88 Failed, w=83\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=83\",\"Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=83\",\"Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,88],[0,3,40],[0,4,73],[0,5,86],[1,2,77],[1,3,92],[1,4,9],[1,5,23],[2,3,9],[2,4,2],[2,5,42],[3,4,41],[3,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,4)=9,(2,3)=9,(1,5)=23,(0,3)=40,(3,4)=41,(2,5)=42,(0,4)=73,(1,2)=77,(0,5)=86,(0,2)=88,(1,3)=92,(0,1)=98,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=20\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=23 Succeeded, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=40 Succeeded, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=42 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=73 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=77 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=86 Failed, w=83\",\"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=83\",\"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=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,2,23],[0,3,70],[1,2,66],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,3,70],[1,2,66],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,3,70],[1,2,66],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,3,70],[1,2,66],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (0,2)=23, w=32\",\"Add (2,3)=56, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,3,70],[1,2,66],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (0,2)=23 Succeeded, w=32\",\"Add (2,3)=56 Succeeded, w=88\",\"Add (1,2)=66 Failed, w=88\",\"Add (0,3)=70 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,3,70],[1,2,66],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=23,(2,3)=56,(1,2)=66,(0,3)=70]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=32\",\"Find(2)=0, Find(3)=3, Add (2,3)=56 Succeeded, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=88\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,3,70],[1,2,66],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=23,(2,3)=56,(1,2)=66,(0,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=56 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,57],[0,3,2],[0,4,54],[0,5,0],[1,2,96],[1,3,100],[1,4,26],[2,3,91],[2,4,86],[2,5,2],[3,4,63],[3,5,71],[4,5,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,2],[0,4,54],[0,5,0],[1,2,96],[1,3,100],[1,4,26],[2,3,91],[2,4,86],[2,5,2],[3,4,63],[3,5,71],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,2],[0,4,54],[0,5,0],[1,2,96],[1,3,100],[1,4,26],[2,3,91],[2,4,86],[2,5,2],[3,4,63],[3,5,71],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,2],[0,4,54],[0,5,0],[1,2,96],[1,3,100],[1,4,26],[2,3,91],[2,4,86],[2,5,2],[3,4,63],[3,5,71],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (0,3)=2, w=2\",\"Add (2,5)=2, w=4\",\"Add (1,4)=26, w=30\",\"Add (0,4)=54, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,2],[0,4,54],[0,5,0],[1,2,96],[1,3,100],[1,4,26],[2,3,91],[2,4,86],[2,5,2],[3,4,63],[3,5,71],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (0,3)=2 Succeeded, w=2\",\"Add (2,5)=2 Succeeded, w=4\",\"Add (1,4)=26 Succeeded, w=30\",\"Add (0,4)=54 Succeeded, w=84\",\"Add (0,1)=57 Failed, w=84\",\"Add (3,4)=63 Failed, w=84\",\"Add (3,5)=71 Failed, w=84\",\"Add (2,4)=86 Failed, w=84\",\"Add (2,3)=91 Failed, w=84\",\"Add (4,5)=92 Failed, w=84\",\"Add (1,2)=96 Failed, w=84\",\"Add (1,3)=100 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,2],[0,4,54],[0,5,0],[1,2,96],[1,3,100],[1,4,26],[2,3,91],[2,4,86],[2,5,2],[3,4,63],[3,5,71],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,3)=2,(2,5)=2,(1,4)=26,(0,4)=54,(0,1)=57,(3,4)=63,(3,5)=71,(2,4)=86,(2,3)=91,(4,5)=92,(1,2)=96,(1,3)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=0, Add (2,5)=2 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=30\",\"Find(0)=0, Find(4)=1, Add (0,4)=54 Succeeded, w=84\",\"Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=84\",\"Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=84\",\"Find(3)=0, Find(5)=0, Add (3,5)=71 Failed, w=84\",\"Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=84\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=84\",\"Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=84\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=84\",\"Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,2],[0,4,54],[0,5,0],[1,2,96],[1,3,100],[1,4,26],[2,3,91],[2,4,86],[2,5,2],[3,4,63],[3,5,71],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,3)=2,(2,5)=2,(1,4)=26,(0,4)=54,(0,1)=57,(3,4)=63,(3,5)=71,(2,4)=86,(2,3)=91,(4,5)=92,(1,2)=96,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(4)=1, Add (0,4)=54 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=71 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,59],[0,2,21],[0,4,56],[1,2,40],[1,4,55],[1,5,47],[2,4,56],[2,5,24],[3,5,53],[4,5,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,21],[0,4,56],[1,2,40],[1,4,55],[1,5,47],[2,4,56],[2,5,24],[3,5,53],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,21],[0,4,56],[1,2,40],[1,4,55],[1,5,47],[2,4,56],[2,5,24],[3,5,53],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (3,5)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,21],[0,4,56],[1,2,40],[1,4,55],[1,5,47],[2,4,56],[2,5,24],[3,5,53],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4, w=4\",\"Add (0,2)=21, w=25\",\"Add (2,5)=24, w=49\",\"Add (1,2)=40, w=89\",\"Add (3,5)=53, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,21],[0,4,56],[1,2,40],[1,4,55],[1,5,47],[2,4,56],[2,5,24],[3,5,53],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4 Succeeded, w=4\",\"Add (0,2)=21 Succeeded, w=25\",\"Add (2,5)=24 Succeeded, w=49\",\"Add (1,2)=40 Succeeded, w=89\",\"Add (1,5)=47 Failed, w=89\",\"Add (3,5)=53 Succeeded, w=142\",\"Add (1,4)=55 Failed, w=142\",\"Add (0,4)=56 Failed, w=142\",\"Add (2,4)=56 Failed, w=142\",\"Add (0,1)=59 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,21],[0,4,56],[1,2,40],[1,4,55],[1,5,47],[2,4,56],[2,5,24],[3,5,53],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(0,2)=21,(2,5)=24,(1,2)=40,(1,5)=47,(3,5)=53,(1,4)=55,(0,4)=56,(2,4)=56,(0,1)=59]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=25\",\"Find(2)=0, Find(5)=4, Add (2,5)=24 Succeeded, w=49\",\"Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=89\",\"Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=89\",\"Find(3)=3, Find(5)=0, Add (3,5)=53 Succeeded, w=142\",\"Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=142\",\"Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=142\",\"Find(2)=0, Find(4)=0, Add (2,4)=56 Failed, w=142\",\"Find(0)=0, Find(1)=0, Add (0,1)=59 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,21],[0,4,56],[1,2,40],[1,4,55],[1,5,47],[2,4,56],[2,5,24],[3,5,53],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(0,2)=21,(2,5)=24,(1,2)=40,(1,5)=47,(3,5)=53,(1,4)=55,(0,4)=56,(2,4)=56,(0,1)=59]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 4}, Find(2)=0, Find(5)=4, Add (2,5)=24 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4}, Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=53 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=56 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=59 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,16],[0,2,67],[0,3,34],[0,4,69],[0,5,10],[1,2,81],[1,4,84],[2,3,49],[2,4,90],[3,5,51],[3,6,93],[4,5,8],[4,6,87],[5,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,67],[0,3,34],[0,4,69],[0,5,10],[1,2,81],[1,4,84],[2,3,49],[2,4,90],[3,5,51],[3,6,93],[4,5,8],[4,6,87],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,67],[0,3,34],[0,4,69],[0,5,10],[1,2,81],[1,4,84],[2,3,49],[2,4,90],[3,5,51],[3,6,93],[4,5,8],[4,6,87],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (5,6)\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,67],[0,3,34],[0,4,69],[0,5,10],[1,2,81],[1,4,84],[2,3,49],[2,4,90],[3,5,51],[3,6,93],[4,5,8],[4,6,87],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8, w=8\",\"Add (0,5)=10, w=18\",\"Add (0,1)=16, w=34\",\"Add (0,3)=34, w=68\",\"Add (2,3)=49, w=117\",\"Add (5,6)=82, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,67],[0,3,34],[0,4,69],[0,5,10],[1,2,81],[1,4,84],[2,3,49],[2,4,90],[3,5,51],[3,6,93],[4,5,8],[4,6,87],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8 Succeeded, w=8\",\"Add (0,5)=10 Succeeded, w=18\",\"Add (0,1)=16 Succeeded, w=34\",\"Add (0,3)=34 Succeeded, w=68\",\"Add (2,3)=49 Succeeded, w=117\",\"Add (3,5)=51 Failed, w=117\",\"Add (0,2)=67 Failed, w=117\",\"Add (0,4)=69 Failed, w=117\",\"Add (1,2)=81 Failed, w=117\",\"Add (5,6)=82 Succeeded, w=199\",\"Add (1,4)=84 Failed, w=199\",\"Add (4,6)=87 Failed, w=199\",\"Add (2,4)=90 Failed, w=199\",\"Add (3,6)=93 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,67],[0,3,34],[0,4,69],[0,5,10],[1,2,81],[1,4,84],[2,3,49],[2,4,90],[3,5,51],[3,6,93],[4,5,8],[4,6,87],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(0,5)=10,(0,1)=16,(0,3)=34,(2,3)=49,(3,5)=51,(0,2)=67,(0,4)=69,(1,2)=81,(5,6)=82,(1,4)=84,(4,6)=87,(2,4)=90,(3,6)=93]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=18\",\"Find(0)=4, Find(1)=1, Add (0,1)=16 Succeeded, w=34\",\"Find(0)=4, Find(3)=3, Add (0,3)=34 Succeeded, w=68\",\"Find(2)=2, Find(3)=4, Add (2,3)=49 Succeeded, w=117\",\"Find(3)=4, Find(5)=4, Add (3,5)=51 Failed, w=117\",\"Find(0)=4, Find(2)=4, Add (0,2)=67 Failed, w=117\",\"Find(0)=4, Find(4)=4, Add (0,4)=69 Failed, w=117\",\"Find(1)=4, Find(2)=4, Add (1,2)=81 Failed, w=117\",\"Find(5)=4, Find(6)=6, Add (5,6)=82 Succeeded, w=199\",\"Find(1)=4, Find(4)=4, Add (1,4)=84 Failed, w=199\",\"Find(4)=4, Find(6)=4, Add (4,6)=87 Failed, w=199\",\"Find(2)=4, Find(4)=4, Add (2,4)=90 Failed, w=199\",\"Find(3)=4, Find(6)=4, Add (3,6)=93 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,2,67],[0,3,34],[0,4,69],[0,5,10],[1,2,81],[1,4,84],[2,3,49],[2,4,90],[3,5,51],[3,6,93],[4,5,8],[4,6,87],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(0,5)=10,(0,1)=16,(0,3)=34,(2,3)=49,(3,5)=51,(0,2)=67,(0,4)=69,(1,2)=81,(5,6)=82,(1,4)=84,(4,6)=87,(2,4)=90,(3,6)=93]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=18\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=4, Find(1)=1, Add (0,1)=16 Succeeded, w=34\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6}, Find(0)=4, Find(3)=3, Add (0,3)=34 Succeeded, w=68\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(3)=4, Add (2,3)=49 Succeeded, w=117\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=4, Find(5)=4, Add (3,5)=51 Failed, w=117\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(0)=4, Find(2)=4, Add (0,2)=67 Failed, w=117\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(0)=4, Find(4)=4, Add (0,4)=69 Failed, w=117\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(1)=4, Find(2)=4, Add (1,2)=81 Failed, w=117\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=6, Add (5,6)=82 Succeeded, w=199\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=84 Failed, w=199\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=87 Failed, w=199\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=90 Failed, w=199\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=93 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,69],[0,3,80],[0,4,26],[0,5,29],[1,2,83],[1,3,9],[1,4,29],[1,5,4],[2,3,44],[2,4,21],[2,5,70],[3,4,52],[3,5,36],[4,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,3,80],[0,4,26],[0,5,29],[1,2,83],[1,3,9],[1,4,29],[1,5,4],[2,3,44],[2,4,21],[2,5,70],[3,4,52],[3,5,36],[4,5,80]]}",
"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],\"edges\":[[0,1,69],[0,3,80],[0,4,26],[0,5,29],[1,2,83],[1,3,9],[1,4,29],[1,5,4],[2,3,44],[2,4,21],[2,5,70],[3,4,52],[3,5,36],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (0,5)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,3,80],[0,4,26],[0,5,29],[1,2,83],[1,3,9],[1,4,29],[1,5,4],[2,3,44],[2,4,21],[2,5,70],[3,4,52],[3,5,36],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (1,3)=9, w=13\",\"Add (2,4)=21, w=34\",\"Add (0,4)=26, w=60\",\"Add (0,5)=29, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,69],[0,3,80],[0,4,26],[0,5,29],[1,2,83],[1,3,9],[1,4,29],[1,5,4],[2,3,44],[2,4,21],[2,5,70],[3,4,52],[3,5,36],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (1,3)=9 Succeeded, w=13\",\"Add (2,4)=21 Succeeded, w=34\",\"Add (0,4)=26 Succeeded, w=60\",\"Add (0,5)=29 Succeeded, w=89\",\"Add (1,4)=29 Failed, w=89\",\"Add (3,5)=36 Failed, w=89\",\"Add (2,3)=44 Failed, w=89\",\"Add (3,4)=52 Failed, w=89\",\"Add (0,1)=69 Failed, w=89\",\"Add (2,5)=70 Failed, w=89\",\"Add (0,3)=80 Failed, w=89\",\"Add (4,5)=80 Failed, w=89\",\"Add (1,2)=83 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],\"edges\":[[0,1,69],[0,3,80],[0,4,26],[0,5,29],[1,2,83],[1,3,9],[1,4,29],[1,5,4],[2,3,44],[2,4,21],[2,5,70],[3,4,52],[3,5,36],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(1,3)=9,(2,4)=21,(0,4)=26,(0,5)=29,(1,4)=29,(3,5)=36,(2,3)=44,(3,4)=52,(0,1)=69,(2,5)=70,(0,3)=80,(4,5)=80,(1,2)=83]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=34\",\"Find(0)=0, Find(4)=2, Add (0,4)=26 Succeeded, w=60\",\"Find(0)=2, Find(5)=1, Add (0,5)=29 Succeeded, w=89\",\"Find(1)=2, Find(4)=2, Add (1,4)=29 Failed, w=89\",\"Find(3)=2, Find(5)=2, Add (3,5)=36 Failed, w=89\",\"Find(2)=2, Find(3)=2, Add (2,3)=44 Failed, w=89\",\"Find(3)=2, Find(4)=2, Add (3,4)=52 Failed, w=89\",\"Find(0)=2, Find(1)=2, Add (0,1)=69 Failed, w=89\",\"Find(2)=2, Find(5)=2, Add (2,5)=70 Failed, w=89\",\"Find(0)=2, Find(3)=2, Add (0,3)=80 Failed, w=89\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=89\",\"Find(1)=2, Find(2)=2, Add (1,2)=83 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],\"edges\":[[0,1,69],[0,3,80],[0,4,26],[0,5,29],[1,2,83],[1,3,9],[1,4,29],[1,5,4],[2,3,44],[2,4,21],[2,5,70],[3,4,52],[3,5,36],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(1,3)=9,(2,4)=21,(0,4)=26,(0,5)=29,(1,4)=29,(3,5)=36,(2,3)=44,(3,4)=52,(0,1)=69,(2,5)=70,(0,3)=80,(4,5)=80,(1,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(0)=0, Find(4)=2, Add (0,4)=26 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1}, Find(0)=2, Find(5)=1, Add (0,5)=29 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1}, Find(1)=2, Find(4)=2, Add (1,4)=29 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=36 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=44 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=52 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=69 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=70 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=80 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=83 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,99],[0,2,14],[0,4,98],[0,5,87],[0,6,92],[1,2,28],[1,3,68],[1,5,11],[1,7,91],[2,3,42],[2,6,54],[3,4,100],[3,6,28],[4,7,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,14],[0,4,98],[0,5,87],[0,6,92],[1,2,28],[1,3,68],[1,5,11],[1,7,91],[2,3,42],[2,6,54],[3,4,100],[3,6,28],[4,7,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,14],[0,4,98],[0,5,87],[0,6,92],[1,2,28],[1,3,68],[1,5,11],[1,7,91],[2,3,42],[2,6,54],[3,4,100],[3,6,28],[4,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,2)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (1,7)\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,14],[0,4,98],[0,5,87],[0,6,92],[1,2,28],[1,3,68],[1,5,11],[1,7,91],[2,3,42],[2,6,54],[3,4,100],[3,6,28],[4,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11, w=11\",\"Add (0,2)=14, w=25\",\"Add (4,7)=14, w=39\",\"Add (1,2)=28, w=67\",\"Add (3,6)=28, w=95\",\"Add (2,3)=42, w=137\",\"Add (1,7)=91, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,14],[0,4,98],[0,5,87],[0,6,92],[1,2,28],[1,3,68],[1,5,11],[1,7,91],[2,3,42],[2,6,54],[3,4,100],[3,6,28],[4,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11 Succeeded, w=11\",\"Add (0,2)=14 Succeeded, w=25\",\"Add (4,7)=14 Succeeded, w=39\",\"Add (1,2)=28 Succeeded, w=67\",\"Add (3,6)=28 Succeeded, w=95\",\"Add (2,3)=42 Succeeded, w=137\",\"Add (2,6)=54 Failed, w=137\",\"Add (1,3)=68 Failed, w=137\",\"Add (0,5)=87 Failed, w=137\",\"Add (1,7)=91 Succeeded, w=228\",\"Add (0,6)=92 Failed, w=228\",\"Add (0,4)=98 Failed, w=228\",\"Add (0,1)=99 Failed, w=228\",\"Add (3,4)=100 Failed, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,14],[0,4,98],[0,5,87],[0,6,92],[1,2,28],[1,3,68],[1,5,11],[1,7,91],[2,3,42],[2,6,54],[3,4,100],[3,6,28],[4,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(0,2)=14,(4,7)=14,(1,2)=28,(3,6)=28,(2,3)=42,(2,6)=54,(1,3)=68,(0,5)=87,(1,7)=91,(0,6)=92,(0,4)=98,(0,1)=99,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=25\",\"Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=39\",\"Find(1)=1, Find(2)=0, Add (1,2)=28 Succeeded, w=67\",\"Find(3)=3, Find(6)=6, Add (3,6)=28 Succeeded, w=95\",\"Find(2)=1, Find(3)=3, Add (2,3)=42 Succeeded, w=137\",\"Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=137\",\"Find(1)=1, Find(3)=1, Add (1,3)=68 Failed, w=137\",\"Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=137\",\"Find(1)=1, Find(7)=4, Add (1,7)=91 Succeeded, w=228\",\"Find(0)=1, Find(6)=1, Add (0,6)=92 Failed, w=228\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=228\",\"Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=228\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,14],[0,4,98],[0,5,87],[0,6,92],[1,2,28],[1,3,68],[1,5,11],[1,7,91],[2,3,42],[2,6,54],[3,4,100],[3,6,28],[4,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(0,2)=14,(4,7)=14,(1,2)=28,(3,6)=28,(2,3)=42,(2,6)=54,(1,3)=68,(0,5)=87,(1,7)=91,(0,6)=92,(0,4)=98,(0,1)=99,(3,4)=100]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 6, 7: 4}, Find(1)=1, Find(2)=0, Add (1,2)=28 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1, 6: 3, 7: 4}, Find(3)=3, Find(6)=6, Add (3,6)=28 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 3, 7: 4}, Find(2)=1, Find(3)=3, Add (2,3)=42 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 4}, Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(3)=1, Add (1,3)=68 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=91 Succeeded, w=228\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(6)=1, Add (0,6)=92 Failed, w=228\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=228\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(1)=1, Add (0,1)=99 Failed, w=228\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,46],[0,2,80],[0,3,52],[0,4,24],[0,5,39],[0,6,29],[0,7,100],[1,2,1],[1,4,75],[1,6,40],[1,7,96],[2,3,84],[2,4,18],[2,5,46],[2,6,62],[2,7,21],[3,4,53],[3,5,99],[3,6,79],[3,7,79],[4,5,85],[4,6,72],[5,6,9],[5,7,54],[6,7,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,80],[0,3,52],[0,4,24],[0,5,39],[0,6,29],[0,7,100],[1,2,1],[1,4,75],[1,6,40],[1,7,96],[2,3,84],[2,4,18],[2,5,46],[2,6,62],[2,7,21],[3,4,53],[3,5,99],[3,6,79],[3,7,79],[4,5,85],[4,6,72],[5,6,9],[5,7,54],[6,7,36]]}",
"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\":[[0,1,46],[0,2,80],[0,3,52],[0,4,24],[0,5,39],[0,6,29],[0,7,100],[1,2,1],[1,4,75],[1,6,40],[1,7,96],[2,3,84],[2,4,18],[2,5,46],[2,6,62],[2,7,21],[3,4,53],[3,5,99],[3,6,79],[3,7,79],[4,5,85],[4,6,72],[5,6,9],[5,7,54],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (2,7)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (0,3)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,46],[0,2,80],[0,3,52],[0,4,24],[0,5,39],[0,6,29],[0,7,100],[1,2,1],[1,4,75],[1,6,40],[1,7,96],[2,3,84],[2,4,18],[2,5,46],[2,6,62],[2,7,21],[3,4,53],[3,5,99],[3,6,79],[3,7,79],[4,5,85],[4,6,72],[5,6,9],[5,7,54],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (5,6)=9, w=10\",\"Add (2,4)=18, w=28\",\"Add (2,7)=21, w=49\",\"Add (0,4)=24, w=73\",\"Add (0,6)=29, w=102\",\"Add (0,3)=52, 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\":[[0,1,46],[0,2,80],[0,3,52],[0,4,24],[0,5,39],[0,6,29],[0,7,100],[1,2,1],[1,4,75],[1,6,40],[1,7,96],[2,3,84],[2,4,18],[2,5,46],[2,6,62],[2,7,21],[3,4,53],[3,5,99],[3,6,79],[3,7,79],[4,5,85],[4,6,72],[5,6,9],[5,7,54],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (5,6)=9 Succeeded, w=10\",\"Add (2,4)=18 Succeeded, w=28\",\"Add (2,7)=21 Succeeded, w=49\",\"Add (0,4)=24 Succeeded, w=73\",\"Add (0,6)=29 Succeeded, w=102\",\"Add (6,7)=36 Failed, w=102\",\"Add (0,5)=39 Failed, w=102\",\"Add (1,6)=40 Failed, w=102\",\"Add (0,1)=46 Failed, w=102\",\"Add (2,5)=46 Failed, w=102\",\"Add (0,3)=52 Succeeded, w=154\",\"Add (3,4)=53 Failed, w=154\",\"Add (5,7)=54 Failed, w=154\",\"Add (2,6)=62 Failed, w=154\",\"Add (4,6)=72 Failed, w=154\",\"Add (1,4)=75 Failed, w=154\",\"Add (3,6)=79 Failed, w=154\",\"Add (3,7)=79 Failed, w=154\",\"Add (0,2)=80 Failed, w=154\",\"Add (2,3)=84 Failed, w=154\",\"Add (4,5)=85 Failed, w=154\",\"Add (1,7)=96 Failed, w=154\",\"Add (3,5)=99 Failed, w=154\",\"Add (0,7)=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\":[[0,1,46],[0,2,80],[0,3,52],[0,4,24],[0,5,39],[0,6,29],[0,7,100],[1,2,1],[1,4,75],[1,6,40],[1,7,96],[2,3,84],[2,4,18],[2,5,46],[2,6,62],[2,7,21],[3,4,53],[3,5,99],[3,6,79],[3,7,79],[4,5,85],[4,6,72],[5,6,9],[5,7,54],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(5,6)=9,(2,4)=18,(2,7)=21,(0,4)=24,(0,6)=29,(6,7)=36,(0,5)=39,(1,6)=40,(0,1)=46,(2,5)=46,(0,3)=52,(3,4)=53,(5,7)=54,(2,6)=62,(4,6)=72,(1,4)=75,(3,6)=79,(3,7)=79,(0,2)=80,(2,3)=84,(4,5)=85,(1,7)=96,(3,5)=99,(0,7)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=10\",\"Find(2)=1, Find(4)=4, Add (2,4)=18 Succeeded, w=28\",\"Find(2)=1, Find(7)=7, Add (2,7)=21 Succeeded, w=49\",\"Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=73\",\"Find(0)=1, Find(6)=5, Add (0,6)=29 Succeeded, w=102\",\"Find(6)=1, Find(7)=1, Add (6,7)=36 Failed, w=102\",\"Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=102\",\"Find(1)=1, Find(6)=1, Add (1,6)=40 Failed, w=102\",\"Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=102\",\"Find(2)=1, Find(5)=1, Add (2,5)=46 Failed, w=102\",\"Find(0)=1, Find(3)=3, Add (0,3)=52 Succeeded, w=154\",\"Find(3)=1, Find(4)=1, Add (3,4)=53 Failed, w=154\",\"Find(5)=1, Find(7)=1, Add (5,7)=54 Failed, w=154\",\"Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=154\",\"Find(4)=1, Find(6)=1, Add (4,6)=72 Failed, w=154\",\"Find(1)=1, Find(4)=1, Add (1,4)=75 Failed, w=154\",\"Find(3)=1, Find(6)=1, Add (3,6)=79 Failed, w=154\",\"Find(3)=1, Find(7)=1, Add (3,7)=79 Failed, w=154\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=154\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=154\",\"Find(4)=1, Find(5)=1, Add (4,5)=85 Failed, w=154\",\"Find(1)=1, Find(7)=1, Add (1,7)=96 Failed, w=154\",\"Find(3)=1, Find(5)=1, Add (3,5)=99 Failed, w=154\",\"Find(0)=1, Find(7)=1, Add (0,7)=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\":[[0,1,46],[0,2,80],[0,3,52],[0,4,24],[0,5,39],[0,6,29],[0,7,100],[1,2,1],[1,4,75],[1,6,40],[1,7,96],[2,3,84],[2,4,18],[2,5,46],[2,6,62],[2,7,21],[3,4,53],[3,5,99],[3,6,79],[3,7,79],[4,5,85],[4,6,72],[5,6,9],[5,7,54],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(5,6)=9,(2,4)=18,(2,7)=21,(0,4)=24,(0,6)=29,(6,7)=36,(0,5)=39,(1,6)=40,(0,1)=46,(2,5)=46,(0,3)=52,(3,4)=53,(5,7)=54,(2,6)=62,(4,6)=72,(1,4)=75,(3,6)=79,(3,7)=79,(0,2)=80,(2,3)=84,(4,5)=85,(1,7)=96,(3,5)=99,(0,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 5, 7: 7}, Find(2)=1, Find(4)=4, Add (2,4)=18 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 5, 7: 1}, Find(2)=1, Find(7)=7, Add (2,7)=21 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 5, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(6)=5, Add (0,6)=29 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=36 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=40 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=46 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=3, Add (0,3)=52 Succeeded, w=154\",\"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)=53 Failed, w=154\",\"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)=54 Failed, w=154\",\"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)=62 Failed, w=154\",\"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)=72 Failed, w=154\",\"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)=75 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=79 Failed, w=154\",\"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)=79 Failed, w=154\",\"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)=80 Failed, w=154\",\"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)=84 Failed, w=154\",\"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)=85 Failed, w=154\",\"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)=96 Failed, w=154\",\"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)=99 Failed, w=154\",\"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)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,79],[0,4,5],[1,3,84],[2,3,79],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,79],[0,4,5],[1,3,84],[2,3,79],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,79],[0,4,5],[1,3,84],[2,3,79],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,79],[0,4,5],[1,3,84],[2,3,79],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (0,1)=26, w=31\",\"Add (0,2)=79, w=110\",\"Add (2,3)=79, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,79],[0,4,5],[1,3,84],[2,3,79],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (0,1)=26 Succeeded, w=31\",\"Add (0,2)=79 Succeeded, w=110\",\"Add (2,3)=79 Succeeded, w=189\",\"Add (1,3)=84 Failed, w=189\",\"Add (3,4)=99 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,79],[0,4,5],[1,3,84],[2,3,79],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(0,1)=26,(0,2)=79,(2,3)=79,(1,3)=84,(3,4)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=31\",\"Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=110\",\"Find(2)=0, Find(3)=3, Add (2,3)=79 Succeeded, w=189\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=189\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,79],[0,4,5],[1,3,84],[2,3,79],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(0,1)=26,(0,2)=79,(2,3)=79,(1,3)=84,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=79 Succeeded, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,58],[0,2,59],[0,3,89],[1,3,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,59],[0,3,89],[1,3,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,59],[0,3,89],[1,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,59],[0,3,89],[1,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=44, w=44\",\"Add (0,1)=58, w=102\",\"Add (0,2)=59, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,59],[0,3,89],[1,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=44 Succeeded, w=44\",\"Add (0,1)=58 Succeeded, w=102\",\"Add (0,2)=59 Succeeded, w=161\",\"Add (0,3)=89 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,59],[0,3,89],[1,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=44,(0,1)=58,(0,2)=59,(0,3)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=102\",\"Find(0)=1, Find(2)=2, Add (0,2)=59 Succeeded, w=161\",\"Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,59],[0,3,89],[1,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=44,(0,1)=58,(0,2)=59,(0,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=59 Succeeded, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,94],[0,2,34],[0,3,7],[0,5,32],[1,2,98],[1,3,56],[1,4,46],[1,5,70],[1,6,99],[2,3,24],[2,4,73],[2,5,24],[3,5,27],[3,6,65],[4,5,27],[4,6,91],[5,6,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,34],[0,3,7],[0,5,32],[1,2,98],[1,3,56],[1,4,46],[1,5,70],[1,6,99],[2,3,24],[2,4,73],[2,5,24],[3,5,27],[3,6,65],[4,5,27],[4,6,91],[5,6,39]]}",
"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],\"edges\":[[0,1,94],[0,2,34],[0,3,7],[0,5,32],[1,2,98],[1,3,56],[1,4,46],[1,5,70],[1,6,99],[2,3,24],[2,4,73],[2,5,24],[3,5,27],[3,6,65],[4,5,27],[4,6,91],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (1,4)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,34],[0,3,7],[0,5,32],[1,2,98],[1,3,56],[1,4,46],[1,5,70],[1,6,99],[2,3,24],[2,4,73],[2,5,24],[3,5,27],[3,6,65],[4,5,27],[4,6,91],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (2,3)=24, w=31\",\"Add (2,5)=24, w=55\",\"Add (4,5)=27, w=82\",\"Add (5,6)=39, w=121\",\"Add (1,4)=46, 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],\"edges\":[[0,1,94],[0,2,34],[0,3,7],[0,5,32],[1,2,98],[1,3,56],[1,4,46],[1,5,70],[1,6,99],[2,3,24],[2,4,73],[2,5,24],[3,5,27],[3,6,65],[4,5,27],[4,6,91],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (2,3)=24 Succeeded, w=31\",\"Add (2,5)=24 Succeeded, w=55\",\"Add (3,5)=27 Failed, w=55\",\"Add (4,5)=27 Succeeded, w=82\",\"Add (0,5)=32 Failed, w=82\",\"Add (0,2)=34 Failed, w=82\",\"Add (5,6)=39 Succeeded, w=121\",\"Add (1,4)=46 Succeeded, w=167\",\"Add (1,3)=56 Failed, w=167\",\"Add (3,6)=65 Failed, w=167\",\"Add (1,5)=70 Failed, w=167\",\"Add (2,4)=73 Failed, w=167\",\"Add (4,6)=91 Failed, w=167\",\"Add (0,1)=94 Failed, w=167\",\"Add (1,2)=98 Failed, w=167\",\"Add (1,6)=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],\"edges\":[[0,1,94],[0,2,34],[0,3,7],[0,5,32],[1,2,98],[1,3,56],[1,4,46],[1,5,70],[1,6,99],[2,3,24],[2,4,73],[2,5,24],[3,5,27],[3,6,65],[4,5,27],[4,6,91],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(2,3)=24,(2,5)=24,(3,5)=27,(4,5)=27,(0,5)=32,(0,2)=34,(5,6)=39,(1,4)=46,(1,3)=56,(3,6)=65,(1,5)=70,(2,4)=73,(4,6)=91,(0,1)=94,(1,2)=98,(1,6)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=0, Add (2,3)=24 Succeeded, w=31\",\"Find(2)=0, Find(5)=5, Add (2,5)=24 Succeeded, w=55\",\"Find(3)=0, Find(5)=0, Add (3,5)=27 Failed, w=55\",\"Find(4)=4, Find(5)=0, Add (4,5)=27 Succeeded, w=82\",\"Find(0)=0, Find(5)=0, Add (0,5)=32 Failed, w=82\",\"Find(0)=0, Find(2)=0, Add (0,2)=34 Failed, w=82\",\"Find(5)=0, Find(6)=6, Add (5,6)=39 Succeeded, w=121\",\"Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=167\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=167\",\"Find(3)=0, Find(6)=0, Add (3,6)=65 Failed, w=167\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=167\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=167\",\"Find(4)=0, Find(6)=0, Add (4,6)=91 Failed, w=167\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=167\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=167\",\"Find(1)=0, Find(6)=0, Add (1,6)=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],\"edges\":[[0,1,94],[0,2,34],[0,3,7],[0,5,32],[1,2,98],[1,3,56],[1,4,46],[1,5,70],[1,6,99],[2,3,24],[2,4,73],[2,5,24],[3,5,27],[3,6,65],[4,5,27],[4,6,91],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(2,3)=24,(2,5)=24,(3,5)=27,(4,5)=27,(0,5)=32,(0,2)=34,(5,6)=39,(1,4)=46,(1,3)=56,(3,6)=65,(1,5)=70,(2,4)=73,(4,6)=91,(0,1)=94,(1,2)=98,(1,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=0, Add (2,3)=24 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(5)=5, Add (2,5)=24 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=0, Find(5)=0, Add (3,5)=27 Failed, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=27 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=32 Failed, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(2)=0, Add (0,2)=34 Failed, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=39 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=65 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=91 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,52],[0,2,77],[0,3,96],[0,4,68],[1,3,19],[1,4,68],[1,5,50],[2,3,40],[2,4,66],[2,5,90],[3,5,5],[4,5,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,77],[0,3,96],[0,4,68],[1,3,19],[1,4,68],[1,5,50],[2,3,40],[2,4,66],[2,5,90],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,77],[0,3,96],[0,4,68],[1,3,19],[1,4,68],[1,5,50],[2,3,40],[2,4,66],[2,5,90],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,77],[0,3,96],[0,4,68],[1,3,19],[1,4,68],[1,5,50],[2,3,40],[2,4,66],[2,5,90],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5, w=5\",\"Add (1,3)=19, w=24\",\"Add (2,3)=40, w=64\",\"Add (0,1)=52, w=116\",\"Add (2,4)=66, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,77],[0,3,96],[0,4,68],[1,3,19],[1,4,68],[1,5,50],[2,3,40],[2,4,66],[2,5,90],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5 Succeeded, w=5\",\"Add (1,3)=19 Succeeded, w=24\",\"Add (2,3)=40 Succeeded, w=64\",\"Add (1,5)=50 Failed, w=64\",\"Add (0,1)=52 Succeeded, w=116\",\"Add (2,4)=66 Succeeded, w=182\",\"Add (0,4)=68 Failed, w=182\",\"Add (1,4)=68 Failed, w=182\",\"Add (4,5)=68 Failed, w=182\",\"Add (0,2)=77 Failed, w=182\",\"Add (2,5)=90 Failed, w=182\",\"Add (0,3)=96 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,77],[0,3,96],[0,4,68],[1,3,19],[1,4,68],[1,5,50],[2,3,40],[2,4,66],[2,5,90],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(1,3)=19,(2,3)=40,(1,5)=50,(0,1)=52,(2,4)=66,(0,4)=68,(1,4)=68,(4,5)=68,(0,2)=77,(2,5)=90,(0,3)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=24\",\"Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=64\",\"Find(1)=3, Find(5)=3, Add (1,5)=50 Failed, w=64\",\"Find(0)=0, Find(1)=3, Add (0,1)=52 Succeeded, w=116\",\"Find(2)=3, Find(4)=4, Add (2,4)=66 Succeeded, w=182\",\"Find(0)=3, Find(4)=3, Add (0,4)=68 Failed, w=182\",\"Find(1)=3, Find(4)=3, Add (1,4)=68 Failed, w=182\",\"Find(4)=3, Find(5)=3, Add (4,5)=68 Failed, w=182\",\"Find(0)=3, Find(2)=3, Add (0,2)=77 Failed, w=182\",\"Find(2)=3, Find(5)=3, Add (2,5)=90 Failed, w=182\",\"Find(0)=3, Find(3)=3, Add (0,3)=96 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,77],[0,3,96],[0,4,68],[1,3,19],[1,4,68],[1,5,50],[2,3,40],[2,4,66],[2,5,90],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(1,3)=19,(2,3)=40,(1,5)=50,(0,1)=52,(2,4)=66,(0,4)=68,(1,4)=68,(4,5)=68,(0,2)=77,(2,5)=90,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=24\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=64\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=50 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=3, Add (0,1)=52 Succeeded, w=116\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=4, Add (2,4)=66 Succeeded, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=68 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=68 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=68 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=77 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=90 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=96 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,10],[0,3,18],[0,4,25],[1,2,72],[1,3,4],[1,4,100],[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,18],[0,4,25],[1,2,72],[1,3,4],[1,4,100],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,18],[0,4,25],[1,2,72],[1,3,4],[1,4,100],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,18],[0,4,25],[1,2,72],[1,3,4],[1,4,100],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,2)=10, w=14\",\"Add (2,3)=10, w=24\",\"Add (0,4)=25, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,18],[0,4,25],[1,2,72],[1,3,4],[1,4,100],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,2)=10 Succeeded, w=14\",\"Add (2,3)=10 Succeeded, w=24\",\"Add (0,3)=18 Failed, w=24\",\"Add (0,4)=25 Succeeded, w=49\",\"Add (1,2)=72 Failed, w=49\",\"Add (1,4)=100 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,18],[0,4,25],[1,2,72],[1,3,4],[1,4,100],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,2)=10,(2,3)=10,(0,3)=18,(0,4)=25,(1,2)=72,(1,4)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=14\",\"Find(2)=0, Find(3)=1, Add (2,3)=10 Succeeded, w=24\",\"Find(0)=0, Find(3)=0, Add (0,3)=18 Failed, w=24\",\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=49\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=49\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,18],[0,4,25],[1,2,72],[1,3,4],[1,4,100],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,2)=10,(2,3)=10,(0,3)=18,(0,4)=25,(1,2)=72,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4}, Find(2)=0, Find(3)=1, Add (2,3)=10 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=18 Failed, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,2,79],[0,3,15],[0,4,44],[0,5,20],[1,2,6],[1,3,51],[1,4,76],[2,3,80],[2,4,84],[3,5,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,79],[0,3,15],[0,4,44],[0,5,20],[1,2,6],[1,3,51],[1,4,76],[2,3,80],[2,4,84],[3,5,94]]}",
"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\":[[0,1,33],[0,2,79],[0,3,15],[0,4,44],[0,5,20],[1,2,6],[1,3,51],[1,4,76],[2,3,80],[2,4,84],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,79],[0,3,15],[0,4,44],[0,5,20],[1,2,6],[1,3,51],[1,4,76],[2,3,80],[2,4,84],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (0,3)=15, w=21\",\"Add (0,5)=20, w=41\",\"Add (0,1)=33, w=74\",\"Add (0,4)=44, 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\":[[0,1,33],[0,2,79],[0,3,15],[0,4,44],[0,5,20],[1,2,6],[1,3,51],[1,4,76],[2,3,80],[2,4,84],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (0,3)=15 Succeeded, w=21\",\"Add (0,5)=20 Succeeded, w=41\",\"Add (0,1)=33 Succeeded, w=74\",\"Add (0,4)=44 Succeeded, w=118\",\"Add (1,3)=51 Failed, w=118\",\"Add (1,4)=76 Failed, w=118\",\"Add (0,2)=79 Failed, w=118\",\"Add (2,3)=80 Failed, w=118\",\"Add (2,4)=84 Failed, w=118\",\"Add (3,5)=94 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\":[[0,1,33],[0,2,79],[0,3,15],[0,4,44],[0,5,20],[1,2,6],[1,3,51],[1,4,76],[2,3,80],[2,4,84],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,3)=15,(0,5)=20,(0,1)=33,(0,4)=44,(1,3)=51,(1,4)=76,(0,2)=79,(2,3)=80,(2,4)=84,(3,5)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=21\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=41\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=74\",\"Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=118\",\"Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=118\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=118\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=118\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=118\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 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\":[[0,1,33],[0,2,79],[0,3,15],[0,4,44],[0,5,20],[1,2,6],[1,3,51],[1,4,76],[2,3,80],[2,4,84],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,3)=15,(0,5)=20,(0,1)=33,(0,4)=44,(1,3)=51,(1,4)=76,(0,2)=79,(2,3)=80,(2,4)=84,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 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)=84 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,32],[0,3,38],[0,4,71],[0,5,11],[0,7,70],[1,2,78],[1,3,61],[1,4,84],[1,6,7],[1,7,23],[2,3,80],[2,4,58],[2,5,1],[2,6,60],[2,7,20],[3,4,55],[3,5,57],[3,6,70],[3,7,94],[4,5,6],[4,6,68],[4,7,63],[5,6,69],[5,7,96],[6,7,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,3,38],[0,4,71],[0,5,11],[0,7,70],[1,2,78],[1,3,61],[1,4,84],[1,6,7],[1,7,23],[2,3,80],[2,4,58],[2,5,1],[2,6,60],[2,7,20],[3,4,55],[3,5,57],[3,6,70],[3,7,94],[4,5,6],[4,6,68],[4,7,63],[5,6,69],[5,7,96],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,3,38],[0,4,71],[0,5,11],[0,7,70],[1,2,78],[1,3,61],[1,4,84],[1,6,7],[1,7,23],[2,3,80],[2,4,58],[2,5,1],[2,6,60],[2,7,20],[3,4,55],[3,5,57],[3,6,70],[3,7,94],[4,5,6],[4,6,68],[4,7,63],[5,6,69],[5,7,96],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (2,7)\",\"Add (1,7)\",\"Add (0,3)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,3,38],[0,4,71],[0,5,11],[0,7,70],[1,2,78],[1,3,61],[1,4,84],[1,6,7],[1,7,23],[2,3,80],[2,4,58],[2,5,1],[2,6,60],[2,7,20],[3,4,55],[3,5,57],[3,6,70],[3,7,94],[4,5,6],[4,6,68],[4,7,63],[5,6,69],[5,7,96],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (4,5)=6, w=7\",\"Add (1,6)=7, w=14\",\"Add (0,5)=11, w=25\",\"Add (2,7)=20, w=45\",\"Add (1,7)=23, w=68\",\"Add (0,3)=38, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,3,38],[0,4,71],[0,5,11],[0,7,70],[1,2,78],[1,3,61],[1,4,84],[1,6,7],[1,7,23],[2,3,80],[2,4,58],[2,5,1],[2,6,60],[2,7,20],[3,4,55],[3,5,57],[3,6,70],[3,7,94],[4,5,6],[4,6,68],[4,7,63],[5,6,69],[5,7,96],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (4,5)=6 Succeeded, w=7\",\"Add (1,6)=7 Succeeded, w=14\",\"Add (0,5)=11 Succeeded, w=25\",\"Add (2,7)=20 Succeeded, w=45\",\"Add (1,7)=23 Succeeded, w=68\",\"Add (0,1)=32 Failed, w=68\",\"Add (0,3)=38 Succeeded, w=106\",\"Add (3,4)=55 Failed, w=106\",\"Add (3,5)=57 Failed, w=106\",\"Add (2,4)=58 Failed, w=106\",\"Add (2,6)=60 Failed, w=106\",\"Add (1,3)=61 Failed, w=106\",\"Add (4,7)=63 Failed, w=106\",\"Add (4,6)=68 Failed, w=106\",\"Add (5,6)=69 Failed, w=106\",\"Add (0,7)=70 Failed, w=106\",\"Add (3,6)=70 Failed, w=106\",\"Add (0,4)=71 Failed, w=106\",\"Add (1,2)=78 Failed, w=106\",\"Add (2,3)=80 Failed, w=106\",\"Add (1,4)=84 Failed, w=106\",\"Add (6,7)=90 Failed, w=106\",\"Add (3,7)=94 Failed, w=106\",\"Add (5,7)=96 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,3,38],[0,4,71],[0,5,11],[0,7,70],[1,2,78],[1,3,61],[1,4,84],[1,6,7],[1,7,23],[2,3,80],[2,4,58],[2,5,1],[2,6,60],[2,7,20],[3,4,55],[3,5,57],[3,6,70],[3,7,94],[4,5,6],[4,6,68],[4,7,63],[5,6,69],[5,7,96],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,5)=6,(1,6)=7,(0,5)=11,(2,7)=20,(1,7)=23,(0,1)=32,(0,3)=38,(3,4)=55,(3,5)=57,(2,4)=58,(2,6)=60,(1,3)=61,(4,7)=63,(4,6)=68,(5,6)=69,(0,7)=70,(3,6)=70,(0,4)=71,(1,2)=78,(2,3)=80,(1,4)=84,(6,7)=90,(3,7)=94,(5,7)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=2, Add (4,5)=6 Succeeded, w=7\",\"Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=14\",\"Find(0)=0, Find(5)=2, Add (0,5)=11 Succeeded, w=25\",\"Find(2)=2, Find(7)=7, Add (2,7)=20 Succeeded, w=45\",\"Find(1)=1, Find(7)=2, Add (1,7)=23 Succeeded, w=68\",\"Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=68\",\"Find(0)=1, Find(3)=3, Add (0,3)=38 Succeeded, w=106\",\"Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=106\",\"Find(3)=1, Find(5)=1, Add (3,5)=57 Failed, w=106\",\"Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=106\",\"Find(2)=1, Find(6)=1, Add (2,6)=60 Failed, w=106\",\"Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=106\",\"Find(4)=1, Find(7)=1, Add (4,7)=63 Failed, w=106\",\"Find(4)=1, Find(6)=1, Add (4,6)=68 Failed, w=106\",\"Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=106\",\"Find(0)=1, Find(7)=1, Add (0,7)=70 Failed, w=106\",\"Find(3)=1, Find(6)=1, Add (3,6)=70 Failed, w=106\",\"Find(0)=1, Find(4)=1, Add (0,4)=71 Failed, w=106\",\"Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=106\",\"Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=106\",\"Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=106\",\"Find(6)=1, Find(7)=1, Add (6,7)=90 Failed, w=106\",\"Find(3)=1, Find(7)=1, Add (3,7)=94 Failed, w=106\",\"Find(5)=1, Find(7)=1, Add (5,7)=96 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,32],[0,3,38],[0,4,71],[0,5,11],[0,7,70],[1,2,78],[1,3,61],[1,4,84],[1,6,7],[1,7,23],[2,3,80],[2,4,58],[2,5,1],[2,6,60],[2,7,20],[3,4,55],[3,5,57],[3,6,70],[3,7,94],[4,5,6],[4,6,68],[4,7,63],[5,6,69],[5,7,96],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,5)=6,(1,6)=7,(0,5)=11,(2,7)=20,(1,7)=23,(0,1)=32,(0,3)=38,(3,4)=55,(3,5)=57,(2,4)=58,(2,6)=60,(1,3)=61,(4,7)=63,(4,6)=68,(5,6)=69,(0,7)=70,(3,6)=70,(0,4)=71,(1,2)=78,(2,3)=80,(1,4)=84,(6,7)=90,(3,7)=94,(5,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(4)=4, Find(5)=2, Add (4,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=7 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 1, 7: 7}, Find(0)=0, Find(5)=2, Add (0,5)=11 Succeeded, w=25\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 1, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=20 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 3, 4: 2, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=23 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 2, 5: 2, 6: 1, 7: 2}, Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1, 7: 2}, Find(0)=1, Find(3)=3, Add (0,3)=38 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 2}, Find(3)=1, Find(4)=1, Add (3,4)=55 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(3)=1, Find(5)=1, Add (3,5)=57 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(2)=1, Find(6)=1, Add (2,6)=60 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 2}, Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=106\",\"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)=63 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=68 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=70 Failed, w=106\",\"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)=70 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=71 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=80 Failed, w=106\",\"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)=84 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=90 Failed, w=106\",\"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)=94 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=96 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,10],[0,2,84],[0,3,13],[1,3,27],[1,4,6],[2,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,84],[0,3,13],[1,3,27],[1,4,6],[2,3,74]]}",
"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\":[[0,1,10],[0,2,84],[0,3,13],[1,3,27],[1,4,6],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,84],[0,3,13],[1,3,27],[1,4,6],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6, w=6\",\"Add (0,1)=10, w=16\",\"Add (0,3)=13, w=29\",\"Add (2,3)=74, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,84],[0,3,13],[1,3,27],[1,4,6],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6 Succeeded, w=6\",\"Add (0,1)=10 Succeeded, w=16\",\"Add (0,3)=13 Succeeded, w=29\",\"Add (1,3)=27 Failed, w=29\",\"Add (2,3)=74 Succeeded, w=103\",\"Add (0,2)=84 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\":[[0,1,10],[0,2,84],[0,3,13],[1,3,27],[1,4,6],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(0,1)=10,(0,3)=13,(1,3)=27,(2,3)=74,(0,2)=84]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=16\",\"Find(0)=1, Find(3)=3, Add (0,3)=13 Succeeded, w=29\",\"Find(1)=1, Find(3)=1, Add (1,3)=27 Failed, w=29\",\"Find(2)=2, Find(3)=1, Add (2,3)=74 Succeeded, w=103\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 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\":[[0,1,10],[0,2,84],[0,3,13],[1,3,27],[1,4,6],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(0,1)=10,(0,3)=13,(1,3)=27,(2,3)=74,(0,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=13 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=27 Failed, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=74 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,1],[0,2,37],[0,3,57],[0,4,51],[0,5,13],[0,6,34],[1,2,26],[1,3,20],[1,4,97],[1,5,71],[1,6,84],[2,3,31],[2,4,51],[2,6,76],[3,4,72],[3,5,5],[3,6,42],[4,5,6],[4,6,73],[5,6,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,37],[0,3,57],[0,4,51],[0,5,13],[0,6,34],[1,2,26],[1,3,20],[1,4,97],[1,5,71],[1,6,84],[2,3,31],[2,4,51],[2,6,76],[3,4,72],[3,5,5],[3,6,42],[4,5,6],[4,6,73],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,37],[0,3,57],[0,4,51],[0,5,13],[0,6,34],[1,2,26],[1,3,20],[1,4,97],[1,5,71],[1,6,84],[2,3,31],[2,4,51],[2,6,76],[3,4,72],[3,5,5],[3,6,42],[4,5,6],[4,6,73],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (0,6)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,37],[0,3,57],[0,4,51],[0,5,13],[0,6,34],[1,2,26],[1,3,20],[1,4,97],[1,5,71],[1,6,84],[2,3,31],[2,4,51],[2,6,76],[3,4,72],[3,5,5],[3,6,42],[4,5,6],[4,6,73],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (3,5)=5, w=6\",\"Add (4,5)=6, w=12\",\"Add (0,5)=13, w=25\",\"Add (1,2)=26, w=51\",\"Add (0,6)=34, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,37],[0,3,57],[0,4,51],[0,5,13],[0,6,34],[1,2,26],[1,3,20],[1,4,97],[1,5,71],[1,6,84],[2,3,31],[2,4,51],[2,6,76],[3,4,72],[3,5,5],[3,6,42],[4,5,6],[4,6,73],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (3,5)=5 Succeeded, w=6\",\"Add (4,5)=6 Succeeded, w=12\",\"Add (0,5)=13 Succeeded, w=25\",\"Add (1,3)=20 Failed, w=25\",\"Add (1,2)=26 Succeeded, w=51\",\"Add (2,3)=31 Failed, w=51\",\"Add (0,6)=34 Succeeded, w=85\",\"Add (0,2)=37 Failed, w=85\",\"Add (3,6)=42 Failed, w=85\",\"Add (0,4)=51 Failed, w=85\",\"Add (2,4)=51 Failed, w=85\",\"Add (0,3)=57 Failed, w=85\",\"Add (1,5)=71 Failed, w=85\",\"Add (5,6)=71 Failed, w=85\",\"Add (3,4)=72 Failed, w=85\",\"Add (4,6)=73 Failed, w=85\",\"Add (2,6)=76 Failed, w=85\",\"Add (1,6)=84 Failed, w=85\",\"Add (1,4)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,37],[0,3,57],[0,4,51],[0,5,13],[0,6,34],[1,2,26],[1,3,20],[1,4,97],[1,5,71],[1,6,84],[2,3,31],[2,4,51],[2,6,76],[3,4,72],[3,5,5],[3,6,42],[4,5,6],[4,6,73],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(3,5)=5,(4,5)=6,(0,5)=13,(1,3)=20,(1,2)=26,(2,3)=31,(0,6)=34,(0,2)=37,(3,6)=42,(0,4)=51,(2,4)=51,(0,3)=57,(1,5)=71,(5,6)=71,(3,4)=72,(4,6)=73,(2,6)=76,(1,6)=84,(1,4)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=6\",\"Find(4)=4, Find(5)=3, Add (4,5)=6 Succeeded, w=12\",\"Find(0)=0, Find(5)=3, Add (0,5)=13 Succeeded, w=25\",\"Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=25\",\"Find(1)=0, Find(2)=2, Add (1,2)=26 Succeeded, w=51\",\"Find(2)=0, Find(3)=0, Add (2,3)=31 Failed, w=51\",\"Find(0)=0, Find(6)=6, Add (0,6)=34 Succeeded, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=37 Failed, w=85\",\"Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=85\",\"Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=51 Failed, w=85\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=85\",\"Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=85\",\"Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=85\",\"Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=85\",\"Find(2)=0, Find(6)=0, Add (2,6)=76 Failed, w=85\",\"Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=85\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,37],[0,3,57],[0,4,51],[0,5,13],[0,6,34],[1,2,26],[1,3,20],[1,4,97],[1,5,71],[1,6,84],[2,3,31],[2,4,51],[2,6,76],[3,4,72],[3,5,5],[3,6,42],[4,5,6],[4,6,73],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(3,5)=5,(4,5)=6,(0,5)=13,(1,3)=20,(1,2)=26,(2,3)=31,(0,6)=34,(0,2)=37,(3,6)=42,(0,4)=51,(2,4)=51,(0,3)=57,(1,5)=71,(5,6)=71,(3,4)=72,(4,6)=73,(2,6)=76,(1,6)=84,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=4, Find(5)=3, Add (4,5)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 3, 6: 6}, Find(0)=0, Find(5)=3, Add (0,5)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 3, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=26 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=31 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=34 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=37 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=51 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=76 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,36],[0,3,65],[0,4,14],[1,2,97],[1,3,12],[2,3,12],[2,4,49],[3,5,90],[4,5,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,36],[0,3,65],[0,4,14],[1,2,97],[1,3,12],[2,3,12],[2,4,49],[3,5,90],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,36],[0,3,65],[0,4,14],[1,2,97],[1,3,12],[2,3,12],[2,4,49],[3,5,90],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (4,5)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,36],[0,3,65],[0,4,14],[1,2,97],[1,3,12],[2,3,12],[2,4,49],[3,5,90],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12, w=12\",\"Add (2,3)=12, w=24\",\"Add (0,4)=14, w=38\",\"Add (0,2)=36, w=74\",\"Add (4,5)=74, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,36],[0,3,65],[0,4,14],[1,2,97],[1,3,12],[2,3,12],[2,4,49],[3,5,90],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12 Succeeded, w=12\",\"Add (2,3)=12 Succeeded, w=24\",\"Add (0,4)=14 Succeeded, w=38\",\"Add (0,2)=36 Succeeded, w=74\",\"Add (2,4)=49 Failed, w=74\",\"Add (0,3)=65 Failed, w=74\",\"Add (4,5)=74 Succeeded, w=148\",\"Add (3,5)=90 Failed, w=148\",\"Add (1,2)=97 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,36],[0,3,65],[0,4,14],[1,2,97],[1,3,12],[2,3,12],[2,4,49],[3,5,90],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(2,3)=12,(0,4)=14,(0,2)=36,(2,4)=49,(0,3)=65,(4,5)=74,(3,5)=90,(1,2)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(2)=2, Find(3)=1, Add (2,3)=12 Succeeded, w=24\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=38\",\"Find(0)=0, Find(2)=1, Add (0,2)=36 Succeeded, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=74\",\"Find(4)=0, Find(5)=5, Add (4,5)=74 Succeeded, w=148\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=148\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,36],[0,3,65],[0,4,14],[1,2,97],[1,3,12],[2,3,12],[2,4,49],[3,5,90],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(2,3)=12,(0,4)=14,(0,2)=36,(2,4)=49,(0,3)=65,(4,5)=74,(3,5)=90,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(2)=2, Find(3)=1, Add (2,3)=12 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=36 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 5}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=74 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,79],[0,2,84],[0,3,50],[0,4,12],[0,5,94],[0,6,29],[1,2,66],[1,3,48],[1,4,98],[1,5,98],[1,6,82],[2,3,2],[2,4,69],[2,5,9],[2,6,58],[3,4,89],[3,5,1],[3,6,15],[4,5,59],[4,6,94],[5,6,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,84],[0,3,50],[0,4,12],[0,5,94],[0,6,29],[1,2,66],[1,3,48],[1,4,98],[1,5,98],[1,6,82],[2,3,2],[2,4,69],[2,5,9],[2,6,58],[3,4,89],[3,5,1],[3,6,15],[4,5,59],[4,6,94],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,84],[0,3,50],[0,4,12],[0,5,94],[0,6,29],[1,2,66],[1,3,48],[1,4,98],[1,5,98],[1,6,82],[2,3,2],[2,4,69],[2,5,9],[2,6,58],[3,4,89],[3,5,1],[3,6,15],[4,5,59],[4,6,94],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (1,3)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,84],[0,3,50],[0,4,12],[0,5,94],[0,6,29],[1,2,66],[1,3,48],[1,4,98],[1,5,98],[1,6,82],[2,3,2],[2,4,69],[2,5,9],[2,6,58],[3,4,89],[3,5,1],[3,6,15],[4,5,59],[4,6,94],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (2,3)=2, w=3\",\"Add (5,6)=3, w=6\",\"Add (0,4)=12, w=18\",\"Add (0,6)=29, w=47\",\"Add (1,3)=48, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,84],[0,3,50],[0,4,12],[0,5,94],[0,6,29],[1,2,66],[1,3,48],[1,4,98],[1,5,98],[1,6,82],[2,3,2],[2,4,69],[2,5,9],[2,6,58],[3,4,89],[3,5,1],[3,6,15],[4,5,59],[4,6,94],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (2,3)=2 Succeeded, w=3\",\"Add (5,6)=3 Succeeded, w=6\",\"Add (2,5)=9 Failed, w=6\",\"Add (0,4)=12 Succeeded, w=18\",\"Add (3,6)=15 Failed, w=18\",\"Add (0,6)=29 Succeeded, w=47\",\"Add (1,3)=48 Succeeded, w=95\",\"Add (0,3)=50 Failed, w=95\",\"Add (2,6)=58 Failed, w=95\",\"Add (4,5)=59 Failed, w=95\",\"Add (1,2)=66 Failed, w=95\",\"Add (2,4)=69 Failed, w=95\",\"Add (0,1)=79 Failed, w=95\",\"Add (1,6)=82 Failed, w=95\",\"Add (0,2)=84 Failed, w=95\",\"Add (3,4)=89 Failed, w=95\",\"Add (0,5)=94 Failed, w=95\",\"Add (4,6)=94 Failed, w=95\",\"Add (1,4)=98 Failed, w=95\",\"Add (1,5)=98 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,84],[0,3,50],[0,4,12],[0,5,94],[0,6,29],[1,2,66],[1,3,48],[1,4,98],[1,5,98],[1,6,82],[2,3,2],[2,4,69],[2,5,9],[2,6,58],[3,4,89],[3,5,1],[3,6,15],[4,5,59],[4,6,94],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(2,3)=2,(5,6)=3,(2,5)=9,(0,4)=12,(3,6)=15,(0,6)=29,(1,3)=48,(0,3)=50,(2,6)=58,(4,5)=59,(1,2)=66,(2,4)=69,(0,1)=79,(1,6)=82,(0,2)=84,(3,4)=89,(0,5)=94,(4,6)=94,(1,4)=98,(1,5)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=3\",\"Find(5)=3, Find(6)=6, Add (5,6)=3 Succeeded, w=6\",\"Find(2)=3, Find(5)=3, Add (2,5)=9 Failed, w=6\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=18\",\"Find(3)=3, Find(6)=3, Add (3,6)=15 Failed, w=18\",\"Find(0)=0, Find(6)=3, Add (0,6)=29 Succeeded, w=47\",\"Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=95\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=95\",\"Find(2)=0, Find(6)=0, Add (2,6)=58 Failed, w=95\",\"Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=95\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=95\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=95\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=95\",\"Find(1)=0, Find(6)=0, Add (1,6)=82 Failed, w=95\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=95\",\"Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=95\",\"Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=95\",\"Find(4)=0, Find(6)=0, Add (4,6)=94 Failed, w=95\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=95\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,84],[0,3,50],[0,4,12],[0,5,94],[0,6,29],[1,2,66],[1,3,48],[1,4,98],[1,5,98],[1,6,82],[2,3,2],[2,4,69],[2,5,9],[2,6,58],[3,4,89],[3,5,1],[3,6,15],[4,5,59],[4,6,94],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(2,3)=2,(5,6)=3,(2,5)=9,(0,4)=12,(3,6)=15,(0,6)=29,(1,3)=48,(0,3)=50,(2,6)=58,(4,5)=59,(1,2)=66,(2,4)=69,(0,1)=79,(1,6)=82,(0,2)=84,(3,4)=89,(0,5)=94,(4,6)=94,(1,4)=98,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(5)=3, Find(6)=6, Add (5,6)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=9 Failed, w=6\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=15 Failed, w=18\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 0, 4: 0, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=29 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 3, 6: 3}, Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 3, 6: 3}, Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=58 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=82 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=94 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,49],[0,3,68],[0,4,58],[1,2,64],[1,3,74],[1,4,61],[2,3,78],[2,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,3,68],[0,4,58],[1,2,64],[1,3,74],[1,4,61],[2,3,78],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,3,68],[0,4,58],[1,2,64],[1,3,74],[1,4,61],[2,3,78],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,3,68],[0,4,58],[1,2,64],[1,3,74],[1,4,61],[2,3,78],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=49, w=49\",\"Add (0,4)=58, w=107\",\"Add (1,2)=64, w=171\",\"Add (0,3)=68, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,3,68],[0,4,58],[1,2,64],[1,3,74],[1,4,61],[2,3,78],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=49 Succeeded, w=49\",\"Add (0,4)=58 Succeeded, w=107\",\"Add (1,4)=61 Failed, w=107\",\"Add (1,2)=64 Succeeded, w=171\",\"Add (0,3)=68 Succeeded, w=239\",\"Add (1,3)=74 Failed, w=239\",\"Add (2,3)=78 Failed, w=239\",\"Add (2,4)=94 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,3,68],[0,4,58],[1,2,64],[1,3,74],[1,4,61],[2,3,78],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=49,(0,4)=58,(1,4)=61,(1,2)=64,(0,3)=68,(1,3)=74,(2,3)=78,(2,4)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=49\",\"Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=107\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=107\",\"Find(1)=0, Find(2)=2, Add (1,2)=64 Succeeded, w=171\",\"Find(0)=0, Find(3)=3, Add (0,3)=68 Succeeded, w=239\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=239\",\"Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=239\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,3,68],[0,4,58],[1,2,64],[1,3,74],[1,4,61],[2,3,78],[2,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=49,(0,4)=58,(1,4)=61,(1,2)=64,(0,3)=68,(1,3)=74,(2,3)=78,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=64 Succeeded, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=68 Succeeded, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=78 Failed, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,22],[0,2,23],[0,3,28],[0,4,89],[1,2,13],[1,3,26],[1,4,55],[2,3,100],[2,4,35],[3,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,23],[0,3,28],[0,4,89],[1,2,13],[1,3,26],[1,4,55],[2,3,100],[2,4,35],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,23],[0,3,28],[0,4,89],[1,2,13],[1,3,26],[1,4,55],[2,3,100],[2,4,35],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,23],[0,3,28],[0,4,89],[1,2,13],[1,3,26],[1,4,55],[2,3,100],[2,4,35],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (1,2)=13, w=18\",\"Add (0,1)=22, w=40\",\"Add (1,3)=26, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,23],[0,3,28],[0,4,89],[1,2,13],[1,3,26],[1,4,55],[2,3,100],[2,4,35],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (1,2)=13 Succeeded, w=18\",\"Add (0,1)=22 Succeeded, w=40\",\"Add (0,2)=23 Failed, w=40\",\"Add (1,3)=26 Succeeded, w=66\",\"Add (0,3)=28 Failed, w=66\",\"Add (2,4)=35 Failed, w=66\",\"Add (1,4)=55 Failed, w=66\",\"Add (0,4)=89 Failed, w=66\",\"Add (2,3)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,23],[0,3,28],[0,4,89],[1,2,13],[1,3,26],[1,4,55],[2,3,100],[2,4,35],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(1,2)=13,(0,1)=22,(0,2)=23,(1,3)=26,(0,3)=28,(2,4)=35,(1,4)=55,(0,4)=89,(2,3)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=40\",\"Find(0)=1, Find(2)=1, Add (0,2)=23 Failed, w=40\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=66\",\"Find(0)=1, Find(3)=1, Add (0,3)=28 Failed, w=66\",\"Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=66\",\"Find(1)=1, Find(4)=1, Add (1,4)=55 Failed, w=66\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=66\",\"Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,23],[0,3,28],[0,4,89],[1,2,13],[1,3,26],[1,4,55],[2,3,100],[2,4,35],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(1,2)=13,(0,1)=22,(0,2)=23,(1,3)=26,(0,3)=28,(2,4)=35,(1,4)=55,(0,4)=89,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=1, Find(2)=1, Add (0,2)=23 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(3)=1, Add (0,3)=28 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=55 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,31],[0,7,36],[1,2,13],[1,3,33],[1,4,90],[1,5,19],[1,6,40],[1,7,67],[2,3,53],[2,4,87],[2,6,90],[2,7,80],[3,4,38],[3,5,38],[3,6,32],[3,7,5],[4,5,77],[4,7,87],[6,7,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,7,36],[1,2,13],[1,3,33],[1,4,90],[1,5,19],[1,6,40],[1,7,67],[2,3,53],[2,4,87],[2,6,90],[2,7,80],[3,4,38],[3,5,38],[3,6,32],[3,7,5],[4,5,77],[4,7,87],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,7,36],[1,2,13],[1,3,33],[1,4,90],[1,5,19],[1,6,40],[1,7,67],[2,3,53],[2,4,87],[2,6,90],[2,7,80],[3,4,38],[3,5,38],[3,6,32],[3,7,5],[4,5,77],[4,7,87],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (6,7)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,7,36],[1,2,13],[1,3,33],[1,4,90],[1,5,19],[1,6,40],[1,7,67],[2,3,53],[2,4,87],[2,6,90],[2,7,80],[3,4,38],[3,5,38],[3,6,32],[3,7,5],[4,5,77],[4,7,87],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=5, w=5\",\"Add (1,2)=13, w=18\",\"Add (1,5)=19, w=37\",\"Add (6,7)=27, w=64\",\"Add (0,2)=31, w=95\",\"Add (1,3)=33, w=128\",\"Add (3,4)=38, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,7,36],[1,2,13],[1,3,33],[1,4,90],[1,5,19],[1,6,40],[1,7,67],[2,3,53],[2,4,87],[2,6,90],[2,7,80],[3,4,38],[3,5,38],[3,6,32],[3,7,5],[4,5,77],[4,7,87],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=5 Succeeded, w=5\",\"Add (1,2)=13 Succeeded, w=18\",\"Add (1,5)=19 Succeeded, w=37\",\"Add (6,7)=27 Succeeded, w=64\",\"Add (0,2)=31 Succeeded, w=95\",\"Add (3,6)=32 Failed, w=95\",\"Add (1,3)=33 Succeeded, w=128\",\"Add (0,7)=36 Failed, w=128\",\"Add (3,4)=38 Succeeded, w=166\",\"Add (3,5)=38 Failed, w=166\",\"Add (1,6)=40 Failed, w=166\",\"Add (2,3)=53 Failed, w=166\",\"Add (1,7)=67 Failed, w=166\",\"Add (4,5)=77 Failed, w=166\",\"Add (2,7)=80 Failed, w=166\",\"Add (2,4)=87 Failed, w=166\",\"Add (4,7)=87 Failed, w=166\",\"Add (1,4)=90 Failed, w=166\",\"Add (2,6)=90 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,7,36],[1,2,13],[1,3,33],[1,4,90],[1,5,19],[1,6,40],[1,7,67],[2,3,53],[2,4,87],[2,6,90],[2,7,80],[3,4,38],[3,5,38],[3,6,32],[3,7,5],[4,5,77],[4,7,87],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=5,(1,2)=13,(1,5)=19,(6,7)=27,(0,2)=31,(3,6)=32,(1,3)=33,(0,7)=36,(3,4)=38,(3,5)=38,(1,6)=40,(2,3)=53,(1,7)=67,(4,5)=77,(2,7)=80,(2,4)=87,(4,7)=87,(1,4)=90,(2,6)=90]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=18\",\"Find(1)=1, Find(5)=5, Add (1,5)=19 Succeeded, w=37\",\"Find(6)=6, Find(7)=3, Add (6,7)=27 Succeeded, w=64\",\"Find(0)=0, Find(2)=1, Add (0,2)=31 Succeeded, w=95\",\"Find(3)=3, Find(6)=3, Add (3,6)=32 Failed, w=95\",\"Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=128\",\"Find(0)=1, Find(7)=1, Add (0,7)=36 Failed, w=128\",\"Find(3)=1, Find(4)=4, Add (3,4)=38 Succeeded, w=166\",\"Find(3)=1, Find(5)=1, Add (3,5)=38 Failed, w=166\",\"Find(1)=1, Find(6)=1, Add (1,6)=40 Failed, w=166\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=166\",\"Find(1)=1, Find(7)=1, Add (1,7)=67 Failed, w=166\",\"Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=166\",\"Find(2)=1, Find(7)=1, Add (2,7)=80 Failed, w=166\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=166\",\"Find(4)=1, Find(7)=1, Add (4,7)=87 Failed, w=166\",\"Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=166\",\"Find(2)=1, Find(6)=1, Add (2,6)=90 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,7,36],[1,2,13],[1,3,33],[1,4,90],[1,5,19],[1,6,40],[1,7,67],[2,3,53],[2,4,87],[2,6,90],[2,7,80],[3,4,38],[3,5,38],[3,6,32],[3,7,5],[4,5,77],[4,7,87],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=5,(1,2)=13,(1,5)=19,(6,7)=27,(0,2)=31,(3,6)=32,(1,3)=33,(0,7)=36,(3,4)=38,(3,5)=38,(1,6)=40,(2,3)=53,(1,7)=67,(4,5)=77,(2,7)=80,(2,4)=87,(4,7)=87,(1,4)=90,(2,6)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 3}, Find(1)=1, Find(5)=5, Add (1,5)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3, 7: 3}, Find(6)=6, Find(7)=3, Add (6,7)=27 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3, 7: 3}, Find(0)=0, Find(2)=1, Add (0,2)=31 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=32 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 3, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 3, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=36 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(3)=1, Find(4)=4, Add (3,4)=38 Succeeded, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=38 Failed, w=166\",\"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)=40 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=166\",\"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)=67 Failed, w=166\",\"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)=77 Failed, w=166\",\"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)=80 Failed, w=166\",\"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)=87 Failed, w=166\",\"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)=87 Failed, w=166\",\"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)=90 Failed, w=166\",\"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)=90 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,40],[0,3,61],[1,2,42],[1,3,15],[2,3,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,40],[0,3,61],[1,2,42],[1,3,15],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,40],[0,3,61],[1,2,42],[1,3,15],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,40],[0,3,61],[1,2,42],[1,3,15],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15, w=15\",\"Add (2,3)=30, w=45\",\"Add (0,2)=40, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,40],[0,3,61],[1,2,42],[1,3,15],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15 Succeeded, w=15\",\"Add (2,3)=30 Succeeded, w=45\",\"Add (0,2)=40 Succeeded, w=85\",\"Add (1,2)=42 Failed, w=85\",\"Add (0,3)=61 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,40],[0,3,61],[1,2,42],[1,3,15],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(2,3)=30,(0,2)=40,(1,2)=42,(0,3)=61]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Find(2)=2, Find(3)=1, Add (2,3)=30 Succeeded, w=45\",\"Find(0)=0, Find(2)=1, Add (0,2)=40 Succeeded, w=85\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=85\",\"Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,40],[0,3,61],[1,2,42],[1,3,15],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(2,3)=30,(0,2)=40,(1,2)=42,(0,3)=61]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=30 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=40 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,30],[0,3,19],[1,2,11],[1,3,50],[2,3,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,19],[1,2,11],[1,3,50],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,19],[1,2,11],[1,3,50],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,19],[1,2,11],[1,3,50],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11, w=11\",\"Add (0,3)=19, w=30\",\"Add (0,1)=30, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,19],[1,2,11],[1,3,50],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11 Succeeded, w=11\",\"Add (0,3)=19 Succeeded, w=30\",\"Add (0,1)=30 Succeeded, w=60\",\"Add (1,3)=50 Failed, w=60\",\"Add (2,3)=82 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,19],[1,2,11],[1,3,50],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,3)=19,(0,1)=30,(1,3)=50,(2,3)=82]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=30\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=60\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=60\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,3,19],[1,2,11],[1,3,50],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,3)=19,(0,1)=30,(1,3)=50,(2,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,59],[0,3,25],[0,4,48],[0,5,51],[1,3,7],[1,4,30],[1,5,73],[2,4,19],[3,4,42],[3,5,11],[4,5,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,59],[0,3,25],[0,4,48],[0,5,51],[1,3,7],[1,4,30],[1,5,73],[2,4,19],[3,4,42],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,59],[0,3,25],[0,4,48],[0,5,51],[1,3,7],[1,4,30],[1,5,73],[2,4,19],[3,4,42],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,59],[0,3,25],[0,4,48],[0,5,51],[1,3,7],[1,4,30],[1,5,73],[2,4,19],[3,4,42],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (3,5)=11, w=18\",\"Add (2,4)=19, w=37\",\"Add (0,3)=25, w=62\",\"Add (1,4)=30, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,59],[0,3,25],[0,4,48],[0,5,51],[1,3,7],[1,4,30],[1,5,73],[2,4,19],[3,4,42],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (3,5)=11 Succeeded, w=18\",\"Add (2,4)=19 Succeeded, w=37\",\"Add (0,3)=25 Succeeded, w=62\",\"Add (1,4)=30 Succeeded, w=92\",\"Add (3,4)=42 Failed, w=92\",\"Add (0,4)=48 Failed, w=92\",\"Add (0,5)=51 Failed, w=92\",\"Add (4,5)=58 Failed, w=92\",\"Add (0,2)=59 Failed, w=92\",\"Add (1,5)=73 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,59],[0,3,25],[0,4,48],[0,5,51],[1,3,7],[1,4,30],[1,5,73],[2,4,19],[3,4,42],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(3,5)=11,(2,4)=19,(0,3)=25,(1,4)=30,(3,4)=42,(0,4)=48,(0,5)=51,(4,5)=58,(0,2)=59,(1,5)=73]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(3)=1, Find(5)=5, Add (3,5)=11 Succeeded, w=18\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=37\",\"Find(0)=0, Find(3)=1, Add (0,3)=25 Succeeded, w=62\",\"Find(1)=1, Find(4)=2, Add (1,4)=30 Succeeded, w=92\",\"Find(3)=1, Find(4)=1, Add (3,4)=42 Failed, w=92\",\"Find(0)=1, Find(4)=1, Add (0,4)=48 Failed, w=92\",\"Find(0)=1, Find(5)=1, Add (0,5)=51 Failed, w=92\",\"Find(4)=1, Find(5)=1, Add (4,5)=58 Failed, w=92\",\"Find(0)=1, Find(2)=1, Add (0,2)=59 Failed, w=92\",\"Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,59],[0,3,25],[0,4,48],[0,5,51],[1,3,7],[1,4,30],[1,5,73],[2,4,19],[3,4,42],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(3,5)=11,(2,4)=19,(0,3)=25,(1,4)=30,(3,4)=42,(0,4)=48,(0,5)=51,(4,5)=58,(0,2)=59,(1,5)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(0)=0, Find(3)=1, Add (0,3)=25 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(4)=2, Add (1,4)=30 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=42 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=48 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=51 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=58 Failed, w=92\",\"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=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=73 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,27],[0,2,10],[0,3,65],[0,4,76],[1,3,62],[1,4,94],[2,3,13],[2,4,78],[3,4,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,10],[0,3,65],[0,4,76],[1,3,62],[1,4,94],[2,3,13],[2,4,78],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,10],[0,3,65],[0,4,76],[1,3,62],[1,4,94],[2,3,13],[2,4,78],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,10],[0,3,65],[0,4,76],[1,3,62],[1,4,94],[2,3,13],[2,4,78],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (2,3)=13, w=23\",\"Add (0,1)=27, w=50\",\"Add (0,4)=76, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,10],[0,3,65],[0,4,76],[1,3,62],[1,4,94],[2,3,13],[2,4,78],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (2,3)=13 Succeeded, w=23\",\"Add (0,1)=27 Succeeded, w=50\",\"Add (1,3)=62 Failed, w=50\",\"Add (0,3)=65 Failed, w=50\",\"Add (0,4)=76 Succeeded, w=126\",\"Add (2,4)=78 Failed, w=126\",\"Add (3,4)=88 Failed, w=126\",\"Add (1,4)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,10],[0,3,65],[0,4,76],[1,3,62],[1,4,94],[2,3,13],[2,4,78],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(2,3)=13,(0,1)=27,(1,3)=62,(0,3)=65,(0,4)=76,(2,4)=78,(3,4)=88,(1,4)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(2)=0, Find(3)=3, Add (2,3)=13 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=50\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=50\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=50\",\"Find(0)=0, Find(4)=4, Add (0,4)=76 Succeeded, w=126\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=126\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=126\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,10],[0,3,65],[0,4,76],[1,3,62],[1,4,94],[2,3,13],[2,4,78],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(2,3)=13,(0,1)=27,(1,3)=62,(0,3)=65,(0,4)=76,(2,4)=78,(3,4)=88,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=76 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,88],[0,5,16],[0,7,71],[1,2,38],[1,4,54],[1,5,16],[1,7,93],[2,5,1],[2,6,28],[2,7,47],[3,4,27],[3,5,19],[3,6,58],[4,5,20],[4,6,100],[4,7,15],[5,6,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,88],[0,5,16],[0,7,71],[1,2,38],[1,4,54],[1,5,16],[1,7,93],[2,5,1],[2,6,28],[2,7,47],[3,4,27],[3,5,19],[3,6,58],[4,5,20],[4,6,100],[4,7,15],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,88],[0,5,16],[0,7,71],[1,2,38],[1,4,54],[1,5,16],[1,7,93],[2,5,1],[2,6,28],[2,7,47],[3,4,27],[3,5,19],[3,6,58],[4,5,20],[4,6,100],[4,7,15],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,7)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (2,6)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,88],[0,5,16],[0,7,71],[1,2,38],[1,4,54],[1,5,16],[1,7,93],[2,5,1],[2,6,28],[2,7,47],[3,4,27],[3,5,19],[3,6,58],[4,5,20],[4,6,100],[4,7,15],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (4,7)=15, w=16\",\"Add (0,5)=16, w=32\",\"Add (1,5)=16, w=48\",\"Add (3,5)=19, w=67\",\"Add (4,5)=20, w=87\",\"Add (2,6)=28, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,88],[0,5,16],[0,7,71],[1,2,38],[1,4,54],[1,5,16],[1,7,93],[2,5,1],[2,6,28],[2,7,47],[3,4,27],[3,5,19],[3,6,58],[4,5,20],[4,6,100],[4,7,15],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (4,7)=15 Succeeded, w=16\",\"Add (0,5)=16 Succeeded, w=32\",\"Add (1,5)=16 Succeeded, w=48\",\"Add (3,5)=19 Succeeded, w=67\",\"Add (4,5)=20 Succeeded, w=87\",\"Add (3,4)=27 Failed, w=87\",\"Add (2,6)=28 Succeeded, w=115\",\"Add (5,6)=29 Failed, w=115\",\"Add (1,2)=38 Failed, w=115\",\"Add (2,7)=47 Failed, w=115\",\"Add (1,4)=54 Failed, w=115\",\"Add (3,6)=58 Failed, w=115\",\"Add (0,7)=71 Failed, w=115\",\"Add (0,4)=88 Failed, w=115\",\"Add (1,7)=93 Failed, w=115\",\"Add (4,6)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,88],[0,5,16],[0,7,71],[1,2,38],[1,4,54],[1,5,16],[1,7,93],[2,5,1],[2,6,28],[2,7,47],[3,4,27],[3,5,19],[3,6,58],[4,5,20],[4,6,100],[4,7,15],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,7)=15,(0,5)=16,(1,5)=16,(3,5)=19,(4,5)=20,(3,4)=27,(2,6)=28,(5,6)=29,(1,2)=38,(2,7)=47,(1,4)=54,(3,6)=58,(0,7)=71,(0,4)=88,(1,7)=93,(4,6)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(7)=7, Add (4,7)=15 Succeeded, w=16\",\"Find(0)=0, Find(5)=2, Add (0,5)=16 Succeeded, w=32\",\"Find(1)=1, Find(5)=2, Add (1,5)=16 Succeeded, w=48\",\"Find(3)=3, Find(5)=2, Add (3,5)=19 Succeeded, w=67\",\"Find(4)=4, Find(5)=2, Add (4,5)=20 Succeeded, w=87\",\"Find(3)=4, Find(4)=4, Add (3,4)=27 Failed, w=87\",\"Find(2)=4, Find(6)=6, Add (2,6)=28 Succeeded, w=115\",\"Find(5)=4, Find(6)=4, Add (5,6)=29 Failed, w=115\",\"Find(1)=4, Find(2)=4, Add (1,2)=38 Failed, w=115\",\"Find(2)=4, Find(7)=4, Add (2,7)=47 Failed, w=115\",\"Find(1)=4, Find(4)=4, Add (1,4)=54 Failed, w=115\",\"Find(3)=4, Find(6)=4, Add (3,6)=58 Failed, w=115\",\"Find(0)=4, Find(7)=4, Add (0,7)=71 Failed, w=115\",\"Find(0)=4, Find(4)=4, Add (0,4)=88 Failed, w=115\",\"Find(1)=4, Find(7)=4, Add (1,7)=93 Failed, w=115\",\"Find(4)=4, Find(6)=4, Add (4,6)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,88],[0,5,16],[0,7,71],[1,2,38],[1,4,54],[1,5,16],[1,7,93],[2,5,1],[2,6,28],[2,7,47],[3,4,27],[3,5,19],[3,6,58],[4,5,20],[4,6,100],[4,7,15],[5,6,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(4,7)=15,(0,5)=16,(1,5)=16,(3,5)=19,(4,5)=20,(3,4)=27,(2,6)=28,(5,6)=29,(1,2)=38,(2,7)=47,(1,4)=54,(3,6)=58,(0,7)=71,(0,4)=88,(1,7)=93,(4,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=15 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 4}, Find(0)=0, Find(5)=2, Add (0,5)=16 Succeeded, w=32\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 4}, Find(1)=1, Find(5)=2, Add (1,5)=16 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 4}, Find(3)=3, Find(5)=2, Add (3,5)=19 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 4, 3: 2, 4: 4, 5: 2, 6: 6, 7: 4}, Find(4)=4, Find(5)=2, Add (4,5)=20 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 4, 3: 4, 4: 4, 5: 2, 6: 6, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=27 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4, 7: 4}, Find(2)=4, Find(6)=6, Add (2,6)=28 Succeeded, w=115\",\"Parent: {0: 2, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=29 Failed, w=115\",\"Parent: {0: 2, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=38 Failed, w=115\",\"Parent: {0: 2, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=47 Failed, w=115\",\"Parent: {0: 2, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=54 Failed, w=115\",\"Parent: {0: 2, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=58 Failed, w=115\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=71 Failed, w=115\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=88 Failed, w=115\",\"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)=93 Failed, w=115\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,7],[0,3,43],[0,4,72],[0,5,31],[1,2,72],[1,5,5],[2,3,34],[3,4,44],[3,5,11],[4,5,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,7],[0,3,43],[0,4,72],[0,5,31],[1,2,72],[1,5,5],[2,3,34],[3,4,44],[3,5,11],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,7],[0,3,43],[0,4,72],[0,5,31],[1,2,72],[1,5,5],[2,3,34],[3,4,44],[3,5,11],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,7],[0,3,43],[0,4,72],[0,5,31],[1,2,72],[1,5,5],[2,3,34],[3,4,44],[3,5,11],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5, w=5\",\"Add (0,2)=7, w=12\",\"Add (3,5)=11, w=23\",\"Add (0,1)=13, w=36\",\"Add (3,4)=44, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,7],[0,3,43],[0,4,72],[0,5,31],[1,2,72],[1,5,5],[2,3,34],[3,4,44],[3,5,11],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5 Succeeded, w=5\",\"Add (0,2)=7 Succeeded, w=12\",\"Add (3,5)=11 Succeeded, w=23\",\"Add (0,1)=13 Succeeded, w=36\",\"Add (0,5)=31 Failed, w=36\",\"Add (2,3)=34 Failed, w=36\",\"Add (0,3)=43 Failed, w=36\",\"Add (3,4)=44 Succeeded, w=80\",\"Add (4,5)=57 Failed, w=80\",\"Add (0,4)=72 Failed, w=80\",\"Add (1,2)=72 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,7],[0,3,43],[0,4,72],[0,5,31],[1,2,72],[1,5,5],[2,3,34],[3,4,44],[3,5,11],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(0,2)=7,(3,5)=11,(0,1)=13,(0,5)=31,(2,3)=34,(0,3)=43,(3,4)=44,(4,5)=57,(0,4)=72,(1,2)=72]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=12\",\"Find(3)=3, Find(5)=1, Add (3,5)=11 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=36\",\"Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=36\",\"Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=36\",\"Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=36\",\"Find(3)=0, Find(4)=4, Add (3,4)=44 Succeeded, w=80\",\"Find(4)=0, Find(5)=0, Add (4,5)=57 Failed, w=80\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=80\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,7],[0,3,43],[0,4,72],[0,5,31],[1,2,72],[1,5,5],[2,3,34],[3,4,44],[3,5,11],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(0,2)=7,(3,5)=11,(0,1)=13,(0,5)=31,(2,3)=34,(0,3)=43,(3,4)=44,(4,5)=57,(0,4)=72,(1,2)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=36\",\"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=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=4, Add (3,4)=44 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=57 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,73],[0,2,91],[0,3,26],[0,4,61],[0,5,64],[1,2,19],[1,5,70],[1,6,92],[2,3,56],[2,4,21],[2,5,45],[2,6,11],[3,5,85],[3,6,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,91],[0,3,26],[0,4,61],[0,5,64],[1,2,19],[1,5,70],[1,6,92],[2,3,56],[2,4,21],[2,5,45],[2,6,11],[3,5,85],[3,6,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,91],[0,3,26],[0,4,61],[0,5,64],[1,2,19],[1,5,70],[1,6,92],[2,3,56],[2,4,21],[2,5,45],[2,6,11],[3,5,85],[3,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (2,5)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,91],[0,3,26],[0,4,61],[0,5,64],[1,2,19],[1,5,70],[1,6,92],[2,3,56],[2,4,21],[2,5,45],[2,6,11],[3,5,85],[3,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=11, w=11\",\"Add (1,2)=19, w=30\",\"Add (2,4)=21, w=51\",\"Add (0,3)=26, w=77\",\"Add (3,6)=34, w=111\",\"Add (2,5)=45, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,91],[0,3,26],[0,4,61],[0,5,64],[1,2,19],[1,5,70],[1,6,92],[2,3,56],[2,4,21],[2,5,45],[2,6,11],[3,5,85],[3,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=11 Succeeded, w=11\",\"Add (1,2)=19 Succeeded, w=30\",\"Add (2,4)=21 Succeeded, w=51\",\"Add (0,3)=26 Succeeded, w=77\",\"Add (3,6)=34 Succeeded, w=111\",\"Add (2,5)=45 Succeeded, w=156\",\"Add (2,3)=56 Failed, w=156\",\"Add (0,4)=61 Failed, w=156\",\"Add (0,5)=64 Failed, w=156\",\"Add (1,5)=70 Failed, w=156\",\"Add (0,1)=73 Failed, w=156\",\"Add (3,5)=85 Failed, w=156\",\"Add (0,2)=91 Failed, w=156\",\"Add (1,6)=92 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,91],[0,3,26],[0,4,61],[0,5,64],[1,2,19],[1,5,70],[1,6,92],[2,3,56],[2,4,21],[2,5,45],[2,6,11],[3,5,85],[3,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=11,(1,2)=19,(2,4)=21,(0,3)=26,(3,6)=34,(2,5)=45,(2,3)=56,(0,4)=61,(0,5)=64,(1,5)=70,(0,1)=73,(3,5)=85,(0,2)=91,(1,6)=92]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=30\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=77\",\"Find(3)=0, Find(6)=2, Add (3,6)=34 Succeeded, w=111\",\"Find(2)=0, Find(5)=5, Add (2,5)=45 Succeeded, w=156\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=156\",\"Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=156\",\"Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=156\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=156\",\"Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=156\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=156\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=156\",\"Find(1)=0, Find(6)=0, Add (1,6)=92 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,73],[0,2,91],[0,3,26],[0,4,61],[0,5,64],[1,2,19],[1,5,70],[1,6,92],[2,3,56],[2,4,21],[2,5,45],[2,6,11],[3,5,85],[3,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=11,(1,2)=19,(2,4)=21,(0,3)=26,(3,6)=34,(2,5)=45,(2,3)=56,(0,4)=61,(0,5)=64,(1,5)=70,(0,1)=73,(3,5)=85,(0,2)=91,(1,6)=92]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=77\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 5, 6: 2}, Find(3)=0, Find(6)=2, Add (3,6)=34 Succeeded, w=111\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 0, 6: 2}, Find(2)=0, Find(5)=5, Add (2,5)=45 Succeeded, w=156\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 0, 6: 2}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=156\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=156\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=92 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,90],[0,3,96],[1,2,39],[1,3,34],[2,3,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,3,96],[1,2,39],[1,3,34],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,3,96],[1,2,39],[1,3,34],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,3,96],[1,2,39],[1,3,34],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=34, w=34\",\"Add (1,2)=39, w=73\",\"Add (0,1)=90, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,3,96],[1,2,39],[1,3,34],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=34 Succeeded, w=34\",\"Add (1,2)=39 Succeeded, w=73\",\"Add (0,1)=90 Succeeded, w=163\",\"Add (2,3)=95 Failed, w=163\",\"Add (0,3)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,3,96],[1,2,39],[1,3,34],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=34,(1,2)=39,(0,1)=90,(2,3)=95,(0,3)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=34\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=73\",\"Find(0)=0, Find(1)=1, Add (0,1)=90 Succeeded, w=163\",\"Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=163\",\"Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,90],[0,3,96],[1,2,39],[1,3,34],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=34,(1,2)=39,(0,1)=90,(2,3)=95,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=90 Succeeded, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,2],[0,3,44],[0,5,44],[0,6,82],[0,7,82],[1,2,100],[1,3,61],[1,4,88],[1,7,38],[2,3,43],[2,4,87],[2,5,7],[2,6,49],[2,7,100],[3,4,45],[3,5,51],[3,7,87],[4,5,45],[4,6,34],[4,7,64],[5,6,19],[5,7,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,44],[0,5,44],[0,6,82],[0,7,82],[1,2,100],[1,3,61],[1,4,88],[1,7,38],[2,3,43],[2,4,87],[2,5,7],[2,6,49],[2,7,100],[3,4,45],[3,5,51],[3,7,87],[4,5,45],[4,6,34],[4,7,64],[5,6,19],[5,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,44],[0,5,44],[0,6,82],[0,7,82],[1,2,100],[1,3,61],[1,4,88],[1,7,38],[2,3,43],[2,4,87],[2,5,7],[2,6,49],[2,7,100],[3,4,45],[3,5,51],[3,7,87],[4,5,45],[4,6,34],[4,7,64],[5,6,19],[5,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (5,7)\",\"Add (2,5)\",\"Add (5,6)\",\"Add (4,6)\",\"Add (1,7)\",\"Add (2,3)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,44],[0,5,44],[0,6,82],[0,7,82],[1,2,100],[1,3,61],[1,4,88],[1,7,38],[2,3,43],[2,4,87],[2,5,7],[2,6,49],[2,7,100],[3,4,45],[3,5,51],[3,7,87],[4,5,45],[4,6,34],[4,7,64],[5,6,19],[5,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (5,7)=4, w=6\",\"Add (2,5)=7, w=13\",\"Add (5,6)=19, w=32\",\"Add (4,6)=34, w=66\",\"Add (1,7)=38, w=104\",\"Add (2,3)=43, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,44],[0,5,44],[0,6,82],[0,7,82],[1,2,100],[1,3,61],[1,4,88],[1,7,38],[2,3,43],[2,4,87],[2,5,7],[2,6,49],[2,7,100],[3,4,45],[3,5,51],[3,7,87],[4,5,45],[4,6,34],[4,7,64],[5,6,19],[5,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (5,7)=4 Succeeded, w=6\",\"Add (2,5)=7 Succeeded, w=13\",\"Add (5,6)=19 Succeeded, w=32\",\"Add (4,6)=34 Succeeded, w=66\",\"Add (1,7)=38 Succeeded, w=104\",\"Add (2,3)=43 Succeeded, w=147\",\"Add (0,3)=44 Failed, w=147\",\"Add (0,5)=44 Failed, w=147\",\"Add (3,4)=45 Failed, w=147\",\"Add (4,5)=45 Failed, w=147\",\"Add (2,6)=49 Failed, w=147\",\"Add (3,5)=51 Failed, w=147\",\"Add (1,3)=61 Failed, w=147\",\"Add (4,7)=64 Failed, w=147\",\"Add (0,6)=82 Failed, w=147\",\"Add (0,7)=82 Failed, w=147\",\"Add (2,4)=87 Failed, w=147\",\"Add (3,7)=87 Failed, w=147\",\"Add (1,4)=88 Failed, w=147\",\"Add (1,2)=100 Failed, w=147\",\"Add (2,7)=100 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,44],[0,5,44],[0,6,82],[0,7,82],[1,2,100],[1,3,61],[1,4,88],[1,7,38],[2,3,43],[2,4,87],[2,5,7],[2,6,49],[2,7,100],[3,4,45],[3,5,51],[3,7,87],[4,5,45],[4,6,34],[4,7,64],[5,6,19],[5,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(5,7)=4,(2,5)=7,(5,6)=19,(4,6)=34,(1,7)=38,(2,3)=43,(0,3)=44,(0,5)=44,(3,4)=45,(4,5)=45,(2,6)=49,(3,5)=51,(1,3)=61,(4,7)=64,(0,6)=82,(0,7)=82,(2,4)=87,(3,7)=87,(1,4)=88,(1,2)=100,(2,7)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(5)=5, Find(7)=7, Add (5,7)=4 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=13\",\"Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=32\",\"Find(4)=4, Find(6)=5, Add (4,6)=34 Succeeded, w=66\",\"Find(1)=0, Find(7)=5, Add (1,7)=38 Succeeded, w=104\",\"Find(2)=0, Find(3)=3, Add (2,3)=43 Succeeded, w=147\",\"Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=147\",\"Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=147\",\"Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=147\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=147\",\"Find(2)=0, Find(6)=0, Add (2,6)=49 Failed, w=147\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=147\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=147\",\"Find(4)=0, Find(7)=0, Add (4,7)=64 Failed, w=147\",\"Find(0)=0, Find(6)=0, Add (0,6)=82 Failed, w=147\",\"Find(0)=0, Find(7)=0, Add (0,7)=82 Failed, w=147\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=147\",\"Find(3)=0, Find(7)=0, Add (3,7)=87 Failed, w=147\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=147\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=147\",\"Find(2)=0, Find(7)=0, Add (2,7)=100 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,44],[0,5,44],[0,6,82],[0,7,82],[1,2,100],[1,3,61],[1,4,88],[1,7,38],[2,3,43],[2,4,87],[2,5,7],[2,6,49],[2,7,100],[3,4,45],[3,5,51],[3,7,87],[4,5,45],[4,6,34],[4,7,64],[5,6,19],[5,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(5,7)=4,(2,5)=7,(5,6)=19,(4,6)=34,(1,7)=38,(2,3)=43,(0,3)=44,(0,5)=44,(3,4)=45,(4,5)=45,(2,6)=49,(3,5)=51,(1,3)=61,(4,7)=64,(0,6)=82,(0,7)=82,(2,4)=87,(3,7)=87,(1,4)=88,(1,2)=100,(2,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=4, Find(6)=5, Add (4,6)=34 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 3, 4: 5, 5: 0, 6: 5, 7: 5}, Find(1)=0, Find(7)=5, Add (1,7)=38 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 5, 7: 5}, Find(2)=0, Find(3)=3, Add (2,3)=43 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 5, 7: 5}, Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 5, 5: 0, 6: 5, 7: 5}, Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 5}, Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 5}, Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(2)=0, Find(6)=0, Add (2,6)=49 Failed, w=147\",\"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)=51 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=147\",\"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)=64 Failed, w=147\",\"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)=82 Failed, w=147\",\"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)=82 Failed, w=147\",\"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)=87 Failed, w=147\",\"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)=87 Failed, w=147\",\"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)=88 Failed, w=147\",\"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)=100 Failed, w=147\",\"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)=100 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,1],[0,3,88],[0,4,51],[0,5,89],[0,6,54],[1,2,44],[1,3,32],[1,4,6],[1,6,38],[2,3,89],[2,4,71],[2,5,32],[2,6,57],[3,5,40],[3,6,14],[4,5,52],[5,6,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,88],[0,4,51],[0,5,89],[0,6,54],[1,2,44],[1,3,32],[1,4,6],[1,6,38],[2,3,89],[2,4,71],[2,5,32],[2,6,57],[3,5,40],[3,6,14],[4,5,52],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,88],[0,4,51],[0,5,89],[0,6,54],[1,2,44],[1,3,32],[1,4,6],[1,6,38],[2,3,89],[2,4,71],[2,5,32],[2,6,57],[3,5,40],[3,6,14],[4,5,52],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (3,5)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,88],[0,4,51],[0,5,89],[0,6,54],[1,2,44],[1,3,32],[1,4,6],[1,6,38],[2,3,89],[2,4,71],[2,5,32],[2,6,57],[3,5,40],[3,6,14],[4,5,52],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (1,4)=6, w=7\",\"Add (3,6)=14, w=21\",\"Add (1,3)=32, w=53\",\"Add (2,5)=32, w=85\",\"Add (3,5)=40, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,88],[0,4,51],[0,5,89],[0,6,54],[1,2,44],[1,3,32],[1,4,6],[1,6,38],[2,3,89],[2,4,71],[2,5,32],[2,6,57],[3,5,40],[3,6,14],[4,5,52],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (1,4)=6 Succeeded, w=7\",\"Add (3,6)=14 Succeeded, w=21\",\"Add (1,3)=32 Succeeded, w=53\",\"Add (2,5)=32 Succeeded, w=85\",\"Add (1,6)=38 Failed, w=85\",\"Add (3,5)=40 Succeeded, w=125\",\"Add (1,2)=44 Failed, w=125\",\"Add (0,4)=51 Failed, w=125\",\"Add (4,5)=52 Failed, w=125\",\"Add (0,6)=54 Failed, w=125\",\"Add (2,6)=57 Failed, w=125\",\"Add (2,4)=71 Failed, w=125\",\"Add (5,6)=79 Failed, w=125\",\"Add (0,3)=88 Failed, w=125\",\"Add (0,5)=89 Failed, w=125\",\"Add (2,3)=89 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,88],[0,4,51],[0,5,89],[0,6,54],[1,2,44],[1,3,32],[1,4,6],[1,6,38],[2,3,89],[2,4,71],[2,5,32],[2,6,57],[3,5,40],[3,6,14],[4,5,52],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,4)=6,(3,6)=14,(1,3)=32,(2,5)=32,(1,6)=38,(3,5)=40,(1,2)=44,(0,4)=51,(4,5)=52,(0,6)=54,(2,6)=57,(2,4)=71,(5,6)=79,(0,3)=88,(0,5)=89,(2,3)=89]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=7\",\"Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=53\",\"Find(2)=0, Find(5)=5, Add (2,5)=32 Succeeded, w=85\",\"Find(1)=1, Find(6)=1, Add (1,6)=38 Failed, w=85\",\"Find(3)=1, Find(5)=0, Add (3,5)=40 Succeeded, w=125\",\"Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=125\",\"Find(0)=1, Find(4)=1, Add (0,4)=51 Failed, w=125\",\"Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=125\",\"Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=125\",\"Find(2)=1, Find(6)=1, Add (2,6)=57 Failed, w=125\",\"Find(2)=1, Find(4)=1, Add (2,4)=71 Failed, w=125\",\"Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=125\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=125\",\"Find(0)=1, Find(5)=1, Add (0,5)=89 Failed, w=125\",\"Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,88],[0,4,51],[0,5,89],[0,6,54],[1,2,44],[1,3,32],[1,4,6],[1,6,38],[2,3,89],[2,4,71],[2,5,32],[2,6,57],[3,5,40],[3,6,14],[4,5,52],[5,6,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,4)=6,(3,6)=14,(1,3)=32,(2,5)=32,(1,6)=38,(3,5)=40,(1,2)=44,(0,4)=51,(4,5)=52,(0,6)=54,(2,6)=57,(2,4)=71,(5,6)=79,(0,3)=88,(0,5)=89,(2,3)=89]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 3}, Find(2)=0, Find(5)=5, Add (2,5)=32 Succeeded, w=85\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=38 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(5)=0, Add (3,5)=40 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=44 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=51 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=57 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=71 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=89 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=89 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,53],[0,2,38],[0,3,64],[1,2,52],[2,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,38],[0,3,64],[1,2,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,38],[0,3,64],[1,2,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,38],[0,3,64],[1,2,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=37, w=37\",\"Add (0,2)=38, w=75\",\"Add (1,2)=52, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,38],[0,3,64],[1,2,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=37 Succeeded, w=37\",\"Add (0,2)=38 Succeeded, w=75\",\"Add (1,2)=52 Succeeded, w=127\",\"Add (0,1)=53 Failed, w=127\",\"Add (0,3)=64 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,38],[0,3,64],[1,2,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=37,(0,2)=38,(1,2)=52,(0,1)=53,(0,3)=64]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=37\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=75\",\"Find(1)=1, Find(2)=2, Add (1,2)=52 Succeeded, w=127\",\"Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=127\",\"Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,38],[0,3,64],[1,2,52],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=37,(0,2)=38,(1,2)=52,(0,1)=53,(0,3)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=52 Succeeded, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=53 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,68],[0,3,30],[1,2,81],[1,3,66],[2,3,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,3,30],[1,2,81],[1,3,66],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,3,30],[1,2,81],[1,3,66],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,3,30],[1,2,81],[1,3,66],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=30, w=30\",\"Add (2,3)=31, w=61\",\"Add (1,3)=66, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,3,30],[1,2,81],[1,3,66],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=30 Succeeded, w=30\",\"Add (2,3)=31 Succeeded, w=61\",\"Add (1,3)=66 Succeeded, w=127\",\"Add (0,1)=68 Failed, w=127\",\"Add (1,2)=81 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,3,30],[1,2,81],[1,3,66],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=30,(2,3)=31,(1,3)=66,(0,1)=68,(1,2)=81]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=30\",\"Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=61\",\"Find(1)=1, Find(3)=0, Add (1,3)=66 Succeeded, w=127\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=127\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,3,30],[1,2,81],[1,3,66],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=30,(2,3)=31,(1,3)=66,(0,1)=68,(1,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=66 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,3,19],[0,4,86],[1,2,41],[1,3,91],[1,4,48],[2,3,54],[2,4,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,19],[0,4,86],[1,2,41],[1,3,91],[1,4,48],[2,3,54],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,19],[0,4,86],[1,2,41],[1,3,91],[1,4,48],[2,3,54],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,19],[0,4,86],[1,2,41],[1,3,91],[1,4,48],[2,3,54],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19, w=19\",\"Add (1,2)=41, w=60\",\"Add (2,4)=45, w=105\",\"Add (2,3)=54, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,19],[0,4,86],[1,2,41],[1,3,91],[1,4,48],[2,3,54],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19 Succeeded, w=19\",\"Add (1,2)=41 Succeeded, w=60\",\"Add (2,4)=45 Succeeded, w=105\",\"Add (1,4)=48 Failed, w=105\",\"Add (2,3)=54 Succeeded, w=159\",\"Add (0,1)=65 Failed, w=159\",\"Add (0,4)=86 Failed, w=159\",\"Add (1,3)=91 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,19],[0,4,86],[1,2,41],[1,3,91],[1,4,48],[2,3,54],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(1,2)=41,(2,4)=45,(1,4)=48,(2,3)=54,(0,1)=65,(0,4)=86,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=60\",\"Find(2)=1, Find(4)=4, Add (2,4)=45 Succeeded, w=105\",\"Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=105\",\"Find(2)=1, Find(3)=0, Add (2,3)=54 Succeeded, w=159\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=159\",\"Find(0)=1, Find(4)=1, Add (0,4)=86 Failed, w=159\",\"Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,3,19],[0,4,86],[1,2,41],[1,3,91],[1,4,48],[2,3,54],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(1,2)=41,(2,4)=45,(1,4)=48,(2,3)=54,(0,1)=65,(0,4)=86,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=45 Succeeded, w=105\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=48 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(3)=0, Add (2,3)=54 Succeeded, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=86 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,56],[0,2,19],[0,3,21],[0,4,80],[1,2,8],[1,4,59],[1,5,63],[2,3,100],[2,5,76],[3,4,87],[3,5,57],[4,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,19],[0,3,21],[0,4,80],[1,2,8],[1,4,59],[1,5,63],[2,3,100],[2,5,76],[3,4,87],[3,5,57],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,19],[0,3,21],[0,4,80],[1,2,8],[1,4,59],[1,5,63],[2,3,100],[2,5,76],[3,4,87],[3,5,57],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,19],[0,3,21],[0,4,80],[1,2,8],[1,4,59],[1,5,63],[2,3,100],[2,5,76],[3,4,87],[3,5,57],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8, w=8\",\"Add (0,2)=19, w=27\",\"Add (0,3)=21, w=48\",\"Add (4,5)=56, w=104\",\"Add (3,5)=57, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,19],[0,3,21],[0,4,80],[1,2,8],[1,4,59],[1,5,63],[2,3,100],[2,5,76],[3,4,87],[3,5,57],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8 Succeeded, w=8\",\"Add (0,2)=19 Succeeded, w=27\",\"Add (0,3)=21 Succeeded, w=48\",\"Add (0,1)=56 Failed, w=48\",\"Add (4,5)=56 Succeeded, w=104\",\"Add (3,5)=57 Succeeded, w=161\",\"Add (1,4)=59 Failed, w=161\",\"Add (1,5)=63 Failed, w=161\",\"Add (2,5)=76 Failed, w=161\",\"Add (0,4)=80 Failed, w=161\",\"Add (3,4)=87 Failed, w=161\",\"Add (2,3)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,19],[0,3,21],[0,4,80],[1,2,8],[1,4,59],[1,5,63],[2,3,100],[2,5,76],[3,4,87],[3,5,57],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,2)=19,(0,3)=21,(0,1)=56,(4,5)=56,(3,5)=57,(1,4)=59,(1,5)=63,(2,5)=76,(0,4)=80,(3,4)=87,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=1, Add (0,2)=19 Succeeded, w=27\",\"Find(0)=1, Find(3)=3, Add (0,3)=21 Succeeded, w=48\",\"Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=48\",\"Find(4)=4, Find(5)=5, Add (4,5)=56 Succeeded, w=104\",\"Find(3)=1, Find(5)=4, Add (3,5)=57 Succeeded, w=161\",\"Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=161\",\"Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=161\",\"Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=161\",\"Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=161\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=161\",\"Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,19],[0,3,21],[0,4,80],[1,2,8],[1,4,59],[1,5,63],[2,3,100],[2,5,76],[3,4,87],[3,5,57],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,2)=19,(0,3)=21,(0,1)=56,(4,5)=56,(3,5)=57,(1,4)=59,(1,5)=63,(2,5)=76,(0,4)=80,(3,4)=87,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=19 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(0)=1, Find(3)=3, Add (0,3)=21 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(0)=1, Find(1)=1, Add (0,1)=56 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=56 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(3)=1, Find(5)=4, Add (3,5)=57 Succeeded, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(4)=1, Add (1,4)=59 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,2,47],[0,3,51],[0,4,57],[0,5,14],[1,2,41],[1,3,23],[1,4,66],[1,5,35],[2,3,14],[2,4,69],[2,5,74],[3,5,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,47],[0,3,51],[0,4,57],[0,5,14],[1,2,41],[1,3,23],[1,4,66],[1,5,35],[2,3,14],[2,4,69],[2,5,74],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,47],[0,3,51],[0,4,57],[0,5,14],[1,2,41],[1,3,23],[1,4,66],[1,5,35],[2,3,14],[2,4,69],[2,5,74],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,47],[0,3,51],[0,4,57],[0,5,14],[1,2,41],[1,3,23],[1,4,66],[1,5,35],[2,3,14],[2,4,69],[2,5,74],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=14, w=14\",\"Add (2,3)=14, w=28\",\"Add (1,3)=23, w=51\",\"Add (1,5)=35, w=86\",\"Add (0,4)=57, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,47],[0,3,51],[0,4,57],[0,5,14],[1,2,41],[1,3,23],[1,4,66],[1,5,35],[2,3,14],[2,4,69],[2,5,74],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=14 Succeeded, w=14\",\"Add (2,3)=14 Succeeded, w=28\",\"Add (1,3)=23 Succeeded, w=51\",\"Add (1,5)=35 Succeeded, w=86\",\"Add (1,2)=41 Failed, w=86\",\"Add (0,2)=47 Failed, w=86\",\"Add (0,3)=51 Failed, w=86\",\"Add (3,5)=54 Failed, w=86\",\"Add (0,4)=57 Succeeded, w=143\",\"Add (1,4)=66 Failed, w=143\",\"Add (2,4)=69 Failed, w=143\",\"Add (2,5)=74 Failed, w=143\",\"Add (0,1)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,47],[0,3,51],[0,4,57],[0,5,14],[1,2,41],[1,3,23],[1,4,66],[1,5,35],[2,3,14],[2,4,69],[2,5,74],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=14,(2,3)=14,(1,3)=23,(1,5)=35,(1,2)=41,(0,2)=47,(0,3)=51,(3,5)=54,(0,4)=57,(1,4)=66,(2,4)=69,(2,5)=74,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=14\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=28\",\"Find(1)=1, Find(3)=2, Add (1,3)=23 Succeeded, w=51\",\"Find(1)=2, Find(5)=0, Add (1,5)=35 Succeeded, w=86\",\"Find(1)=2, Find(2)=2, Add (1,2)=41 Failed, w=86\",\"Find(0)=2, Find(2)=2, Add (0,2)=47 Failed, w=86\",\"Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=86\",\"Find(3)=2, Find(5)=2, Add (3,5)=54 Failed, w=86\",\"Find(0)=2, Find(4)=4, Add (0,4)=57 Succeeded, w=143\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=143\",\"Find(2)=2, Find(4)=2, Add (2,4)=69 Failed, w=143\",\"Find(2)=2, Find(5)=2, Add (2,5)=74 Failed, w=143\",\"Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,47],[0,3,51],[0,4,57],[0,5,14],[1,2,41],[1,3,23],[1,4,66],[1,5,35],[2,3,14],[2,4,69],[2,5,74],[3,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=14,(2,3)=14,(1,3)=23,(1,5)=35,(1,2)=41,(0,2)=47,(0,3)=51,(3,5)=54,(0,4)=57,(1,4)=66,(2,4)=69,(2,5)=74,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0}, Find(1)=1, Find(3)=2, Add (1,3)=23 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0}, Find(1)=2, Find(5)=0, Add (1,5)=35 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0}, Find(1)=2, Find(2)=2, Add (1,2)=41 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=2, Find(2)=2, Add (0,2)=47 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=54 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=4, Add (0,4)=57 Succeeded, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=69 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=74 Failed, w=143\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,17],[0,2,93],[0,3,12],[0,4,15],[0,5,21],[0,6,91],[1,2,84],[1,3,48],[1,4,25],[1,5,62],[2,4,1],[2,5,27],[3,4,78],[3,5,65],[4,5,54],[4,6,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,93],[0,3,12],[0,4,15],[0,5,21],[0,6,91],[1,2,84],[1,3,48],[1,4,25],[1,5,62],[2,4,1],[2,5,27],[3,4,78],[3,5,65],[4,5,54],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,93],[0,3,12],[0,4,15],[0,5,21],[0,6,91],[1,2,84],[1,3,48],[1,4,25],[1,5,62],[2,4,1],[2,5,27],[3,4,78],[3,5,65],[4,5,54],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (4,6)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,93],[0,3,12],[0,4,15],[0,5,21],[0,6,91],[1,2,84],[1,3,48],[1,4,25],[1,5,62],[2,4,1],[2,5,27],[3,4,78],[3,5,65],[4,5,54],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (0,3)=12, w=13\",\"Add (0,4)=15, w=28\",\"Add (0,1)=17, w=45\",\"Add (0,5)=21, w=66\",\"Add (4,6)=62, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,93],[0,3,12],[0,4,15],[0,5,21],[0,6,91],[1,2,84],[1,3,48],[1,4,25],[1,5,62],[2,4,1],[2,5,27],[3,4,78],[3,5,65],[4,5,54],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,3)=12 Succeeded, w=13\",\"Add (0,4)=15 Succeeded, w=28\",\"Add (0,1)=17 Succeeded, w=45\",\"Add (0,5)=21 Succeeded, w=66\",\"Add (1,4)=25 Failed, w=66\",\"Add (2,5)=27 Failed, w=66\",\"Add (1,3)=48 Failed, w=66\",\"Add (4,5)=54 Failed, w=66\",\"Add (1,5)=62 Failed, w=66\",\"Add (4,6)=62 Succeeded, w=128\",\"Add (3,5)=65 Failed, w=128\",\"Add (3,4)=78 Failed, w=128\",\"Add (1,2)=84 Failed, w=128\",\"Add (0,6)=91 Failed, w=128\",\"Add (0,2)=93 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,93],[0,3,12],[0,4,15],[0,5,21],[0,6,91],[1,2,84],[1,3,48],[1,4,25],[1,5,62],[2,4,1],[2,5,27],[3,4,78],[3,5,65],[4,5,54],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,3)=12,(0,4)=15,(0,1)=17,(0,5)=21,(1,4)=25,(2,5)=27,(1,3)=48,(4,5)=54,(1,5)=62,(4,6)=62,(3,5)=65,(3,4)=78,(1,2)=84,(0,6)=91,(0,2)=93]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=13\",\"Find(0)=0, Find(4)=2, Add (0,4)=15 Succeeded, w=28\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=45\",\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=66\",\"Find(1)=0, Find(4)=0, Add (1,4)=25 Failed, w=66\",\"Find(2)=0, Find(5)=0, Add (2,5)=27 Failed, w=66\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=66\",\"Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=66\",\"Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=66\",\"Find(4)=0, Find(6)=6, Add (4,6)=62 Succeeded, w=128\",\"Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=128\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=128\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=128\",\"Find(0)=0, Find(6)=0, Add (0,6)=91 Failed, w=128\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,93],[0,3,12],[0,4,15],[0,5,21],[0,6,91],[1,2,84],[1,3,48],[1,4,25],[1,5,62],[2,4,1],[2,5,27],[3,4,78],[3,5,65],[4,5,54],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,3)=12,(0,4)=15,(0,1)=17,(0,5)=21,(1,4)=25,(2,5)=27,(1,3)=48,(4,5)=54,(1,5)=62,(4,6)=62,(3,5)=65,(3,4)=78,(1,2)=84,(0,6)=91,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(4)=2, Add (0,4)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=25 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(5)=0, Add (2,5)=27 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=62 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=91 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,14],[0,3,57],[0,4,72],[0,5,4],[0,6,32],[0,7,86],[1,5,64],[1,6,51],[1,7,44],[2,4,43],[2,5,20],[2,6,6],[2,7,14],[3,4,66],[3,6,50],[3,7,33],[4,5,45],[4,7,46],[5,6,1],[6,7,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,57],[0,4,72],[0,5,4],[0,6,32],[0,7,86],[1,5,64],[1,6,51],[1,7,44],[2,4,43],[2,5,20],[2,6,6],[2,7,14],[3,4,66],[3,6,50],[3,7,33],[4,5,45],[4,7,46],[5,6,1],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,57],[0,4,72],[0,5,4],[0,6,32],[0,7,86],[1,5,64],[1,6,51],[1,7,44],[2,4,43],[2,5,20],[2,6,6],[2,7,14],[3,4,66],[3,6,50],[3,7,33],[4,5,45],[4,7,46],[5,6,1],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (6,7)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (0,1)\",\"Add (3,7)\",\"Add (2,4)\"],\"Answer\":104}",
"role": "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],[0,3,57],[0,4,72],[0,5,4],[0,6,32],[0,7,86],[1,5,64],[1,6,51],[1,7,44],[2,4,43],[2,5,20],[2,6,6],[2,7,14],[3,4,66],[3,6,50],[3,7,33],[4,5,45],[4,7,46],[5,6,1],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (6,7)=3, w=4\",\"Add (0,5)=4, w=8\",\"Add (2,6)=6, w=14\",\"Add (0,1)=14, w=28\",\"Add (3,7)=33, w=61\",\"Add (2,4)=43, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,57],[0,4,72],[0,5,4],[0,6,32],[0,7,86],[1,5,64],[1,6,51],[1,7,44],[2,4,43],[2,5,20],[2,6,6],[2,7,14],[3,4,66],[3,6,50],[3,7,33],[4,5,45],[4,7,46],[5,6,1],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (6,7)=3 Succeeded, w=4\",\"Add (0,5)=4 Succeeded, w=8\",\"Add (2,6)=6 Succeeded, w=14\",\"Add (0,1)=14 Succeeded, w=28\",\"Add (2,7)=14 Failed, w=28\",\"Add (2,5)=20 Failed, w=28\",\"Add (0,6)=32 Failed, w=28\",\"Add (3,7)=33 Succeeded, w=61\",\"Add (2,4)=43 Succeeded, w=104\",\"Add (1,7)=44 Failed, w=104\",\"Add (4,5)=45 Failed, w=104\",\"Add (4,7)=46 Failed, w=104\",\"Add (3,6)=50 Failed, w=104\",\"Add (1,6)=51 Failed, w=104\",\"Add (0,3)=57 Failed, w=104\",\"Add (1,5)=64 Failed, w=104\",\"Add (3,4)=66 Failed, w=104\",\"Add (0,4)=72 Failed, w=104\",\"Add (0,7)=86 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,57],[0,4,72],[0,5,4],[0,6,32],[0,7,86],[1,5,64],[1,6,51],[1,7,44],[2,4,43],[2,5,20],[2,6,6],[2,7,14],[3,4,66],[3,6,50],[3,7,33],[4,5,45],[4,7,46],[5,6,1],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(6,7)=3,(0,5)=4,(2,6)=6,(0,1)=14,(2,7)=14,(2,5)=20,(0,6)=32,(3,7)=33,(2,4)=43,(1,7)=44,(4,5)=45,(4,7)=46,(3,6)=50,(1,6)=51,(0,3)=57,(1,5)=64,(3,4)=66,(0,4)=72,(0,7)=86]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(6)=5, Find(7)=7, Add (6,7)=3 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=8\",\"Find(2)=2, Find(6)=5, Add (2,6)=6 Succeeded, w=14\",\"Find(0)=5, Find(1)=1, Add (0,1)=14 Succeeded, w=28\",\"Find(2)=5, Find(7)=5, Add (2,7)=14 Failed, w=28\",\"Find(2)=5, Find(5)=5, Add (2,5)=20 Failed, w=28\",\"Find(0)=5, Find(6)=5, Add (0,6)=32 Failed, w=28\",\"Find(3)=3, Find(7)=5, Add (3,7)=33 Succeeded, w=61\",\"Find(2)=5, Find(4)=4, Add (2,4)=43 Succeeded, w=104\",\"Find(1)=5, Find(7)=5, Add (1,7)=44 Failed, w=104\",\"Find(4)=5, Find(5)=5, Add (4,5)=45 Failed, w=104\",\"Find(4)=5, Find(7)=5, Add (4,7)=46 Failed, w=104\",\"Find(3)=5, Find(6)=5, Add (3,6)=50 Failed, w=104\",\"Find(1)=5, Find(6)=5, Add (1,6)=51 Failed, w=104\",\"Find(0)=5, Find(3)=5, Add (0,3)=57 Failed, w=104\",\"Find(1)=5, Find(5)=5, Add (1,5)=64 Failed, w=104\",\"Find(3)=5, Find(4)=5, Add (3,4)=66 Failed, w=104\",\"Find(0)=5, Find(4)=5, Add (0,4)=72 Failed, w=104\",\"Find(0)=5, Find(7)=5, Add (0,7)=86 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,3,57],[0,4,72],[0,5,4],[0,6,32],[0,7,86],[1,5,64],[1,6,51],[1,7,44],[2,4,43],[2,5,20],[2,6,6],[2,7,14],[3,4,66],[3,6,50],[3,7,33],[4,5,45],[4,7,46],[5,6,1],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(6,7)=3,(0,5)=4,(2,6)=6,(0,1)=14,(2,7)=14,(2,5)=20,(0,6)=32,(3,7)=33,(2,4)=43,(1,7)=44,(4,5)=45,(4,7)=46,(3,6)=50,(1,6)=51,(0,3)=57,(1,5)=64,(3,4)=66,(0,4)=72,(0,7)=86]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=7, Add (6,7)=3 Succeeded, w=4\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=8\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(2)=2, Find(6)=5, Add (2,6)=6 Succeeded, w=14\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=1, Add (0,1)=14 Succeeded, w=28\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=14 Failed, w=28\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=20 Failed, w=28\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=32 Failed, w=28\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(3)=3, Find(7)=5, Add (3,7)=33 Succeeded, w=61\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(4)=4, Add (2,4)=43 Succeeded, w=104\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=44 Failed, w=104\",\"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)=45 Failed, w=104\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=46 Failed, w=104\",\"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)=50 Failed, w=104\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=51 Failed, w=104\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=57 Failed, w=104\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=64 Failed, w=104\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=5, Add (3,4)=66 Failed, w=104\",\"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)=72 Failed, w=104\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=86 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,35],[0,2,65],[0,3,92],[1,2,21],[1,3,51],[2,3,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,65],[0,3,92],[1,2,21],[1,3,51],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,65],[0,3,92],[1,2,21],[1,3,51],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,65],[0,3,92],[1,2,21],[1,3,51],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=21, w=21\",\"Add (0,1)=35, w=56\",\"Add (2,3)=47, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,65],[0,3,92],[1,2,21],[1,3,51],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=21 Succeeded, w=21\",\"Add (0,1)=35 Succeeded, w=56\",\"Add (2,3)=47 Succeeded, w=103\",\"Add (1,3)=51 Failed, w=103\",\"Add (0,2)=65 Failed, w=103\",\"Add (0,3)=92 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,65],[0,3,92],[1,2,21],[1,3,51],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=21,(0,1)=35,(2,3)=47,(1,3)=51,(0,2)=65,(0,3)=92]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=56\",\"Find(2)=1, Find(3)=3, Add (2,3)=47 Succeeded, w=103\",\"Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=103\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=103\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,65],[0,3,92],[1,2,21],[1,3,51],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=21,(0,1)=35,(2,3)=47,(1,3)=51,(0,2)=65,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=47 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,0],[0,3,85],[0,4,58],[1,2,23],[1,3,95],[1,4,54],[2,4,23],[3,4,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,0],[0,3,85],[0,4,58],[1,2,23],[1,3,95],[1,4,54],[2,4,23],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,0],[0,3,85],[0,4,58],[1,2,23],[1,3,95],[1,4,54],[2,4,23],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,0],[0,3,85],[0,4,58],[1,2,23],[1,3,95],[1,4,54],[2,4,23],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (1,2)=23, w=23\",\"Add (2,4)=23, w=46\",\"Add (3,4)=51, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,0],[0,3,85],[0,4,58],[1,2,23],[1,3,95],[1,4,54],[2,4,23],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (1,2)=23 Succeeded, w=23\",\"Add (2,4)=23 Succeeded, w=46\",\"Add (0,1)=33 Failed, w=46\",\"Add (3,4)=51 Succeeded, w=97\",\"Add (1,4)=54 Failed, w=97\",\"Add (0,4)=58 Failed, w=97\",\"Add (0,3)=85 Failed, w=97\",\"Add (1,3)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,0],[0,3,85],[0,4,58],[1,2,23],[1,3,95],[1,4,54],[2,4,23],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,2)=23,(2,4)=23,(0,1)=33,(3,4)=51,(1,4)=54,(0,4)=58,(0,3)=85,(1,3)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=0, Add (1,2)=23 Succeeded, w=23\",\"Find(2)=0, Find(4)=4, Add (2,4)=23 Succeeded, w=46\",\"Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=46\",\"Find(3)=3, Find(4)=0, Add (3,4)=51 Succeeded, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=97\",\"Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=97\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,0],[0,3,85],[0,4,58],[1,2,23],[1,3,95],[1,4,54],[2,4,23],[3,4,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,2)=23,(2,4)=23,(0,1)=33,(3,4)=51,(1,4)=54,(0,4)=58,(0,3)=85,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=23 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=51 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,26],[1,2,78],[1,3,30],[2,3,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,78],[1,3,30],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,78],[1,3,30],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,78],[1,3,30],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,2)=26, w=27\",\"Add (1,3)=30, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,78],[1,3,30],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,2)=26 Succeeded, w=27\",\"Add (1,3)=30 Succeeded, w=57\",\"Add (1,2)=78 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,78],[1,3,30],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=26,(1,3)=30,(1,2)=78]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=27\",\"Find(1)=1, Find(3)=2, Add (1,3)=30 Succeeded, w=57\",\"Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,26],[1,2,78],[1,3,30],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=26,(1,3)=30,(1,2)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=30 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=78 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,49],[0,3,53],[0,4,79],[1,3,42],[1,4,63],[2,3,40],[2,4,77],[3,4,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,53],[0,4,79],[1,3,42],[1,4,63],[2,3,40],[2,4,77],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,53],[0,4,79],[1,3,42],[1,4,63],[2,3,40],[2,4,77],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,53],[0,4,79],[1,3,42],[1,4,63],[2,3,40],[2,4,77],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=39, w=39\",\"Add (2,3)=40, w=79\",\"Add (1,3)=42, w=121\",\"Add (1,4)=63, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,53],[0,4,79],[1,3,42],[1,4,63],[2,3,40],[2,4,77],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=39 Succeeded, w=39\",\"Add (2,3)=40 Succeeded, w=79\",\"Add (1,3)=42 Succeeded, w=121\",\"Add (0,2)=49 Failed, w=121\",\"Add (0,3)=53 Failed, w=121\",\"Add (1,4)=63 Succeeded, w=184\",\"Add (3,4)=65 Failed, w=184\",\"Add (2,4)=77 Failed, w=184\",\"Add (0,4)=79 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,53],[0,4,79],[1,3,42],[1,4,63],[2,3,40],[2,4,77],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=39,(2,3)=40,(1,3)=42,(0,2)=49,(0,3)=53,(1,4)=63,(3,4)=65,(2,4)=77,(0,4)=79]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=39\",\"Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=79\",\"Find(1)=0, Find(3)=2, Add (1,3)=42 Succeeded, w=121\",\"Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=121\",\"Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=121\",\"Find(1)=0, Find(4)=4, Add (1,4)=63 Succeeded, w=184\",\"Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=184\",\"Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=184\",\"Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,53],[0,4,79],[1,3,42],[1,4,63],[2,3,40],[2,4,77],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=39,(2,3)=40,(1,3)=42,(0,2)=49,(0,3)=53,(1,4)=63,(3,4)=65,(2,4)=77,(0,4)=79]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(3)=2, Add (1,3)=42 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=63 Succeeded, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=65 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=77 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,14],[0,2,69],[0,3,57],[0,4,10],[0,5,61],[1,2,64],[1,4,83],[1,5,72],[2,3,48],[2,4,94],[2,5,19],[3,4,1],[3,5,100],[4,5,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,69],[0,3,57],[0,4,10],[0,5,61],[1,2,64],[1,4,83],[1,5,72],[2,3,48],[2,4,94],[2,5,19],[3,4,1],[3,5,100],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,69],[0,3,57],[0,4,10],[0,5,61],[1,2,64],[1,4,83],[1,5,72],[2,3,48],[2,4,94],[2,5,19],[3,4,1],[3,5,100],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (2,3)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,69],[0,3,57],[0,4,10],[0,5,61],[1,2,64],[1,4,83],[1,5,72],[2,3,48],[2,4,94],[2,5,19],[3,4,1],[3,5,100],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,4)=10, w=11\",\"Add (0,1)=14, w=25\",\"Add (2,5)=19, w=44\",\"Add (2,3)=48, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,69],[0,3,57],[0,4,10],[0,5,61],[1,2,64],[1,4,83],[1,5,72],[2,3,48],[2,4,94],[2,5,19],[3,4,1],[3,5,100],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,4)=10 Succeeded, w=11\",\"Add (0,1)=14 Succeeded, w=25\",\"Add (2,5)=19 Succeeded, w=44\",\"Add (2,3)=48 Succeeded, w=92\",\"Add (0,3)=57 Failed, w=92\",\"Add (4,5)=59 Failed, w=92\",\"Add (0,5)=61 Failed, w=92\",\"Add (1,2)=64 Failed, w=92\",\"Add (0,2)=69 Failed, w=92\",\"Add (1,5)=72 Failed, w=92\",\"Add (1,4)=83 Failed, w=92\",\"Add (2,4)=94 Failed, w=92\",\"Add (3,5)=100 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,69],[0,3,57],[0,4,10],[0,5,61],[1,2,64],[1,4,83],[1,5,72],[2,3,48],[2,4,94],[2,5,19],[3,4,1],[3,5,100],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,4)=10,(0,1)=14,(2,5)=19,(2,3)=48,(0,3)=57,(4,5)=59,(0,5)=61,(1,2)=64,(0,2)=69,(1,5)=72,(1,4)=83,(2,4)=94,(3,5)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=3, Add (0,4)=10 Succeeded, w=11\",\"Find(0)=3, Find(1)=1, Add (0,1)=14 Succeeded, w=25\",\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=44\",\"Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=92\",\"Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=92\",\"Find(4)=2, Find(5)=2, Add (4,5)=59 Failed, w=92\",\"Find(0)=2, Find(5)=2, Add (0,5)=61 Failed, w=92\",\"Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=92\",\"Find(0)=2, Find(2)=2, Add (0,2)=69 Failed, w=92\",\"Find(1)=2, Find(5)=2, Add (1,5)=72 Failed, w=92\",\"Find(1)=2, Find(4)=2, Add (1,4)=83 Failed, w=92\",\"Find(2)=2, Find(4)=2, Add (2,4)=94 Failed, w=92\",\"Find(3)=2, Find(5)=2, Add (3,5)=100 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,69],[0,3,57],[0,4,10],[0,5,61],[1,2,64],[1,4,83],[1,5,72],[2,3,48],[2,4,94],[2,5,19],[3,4,1],[3,5,100],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,4)=10,(0,1)=14,(2,5)=19,(2,3)=48,(0,3)=57,(4,5)=59,(0,5)=61,(1,2)=64,(0,2)=69,(1,5)=72,(1,4)=83,(2,4)=94,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(4)=3, Add (0,4)=10 Succeeded, w=11\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=3, Find(1)=1, Add (0,1)=14 Succeeded, w=25\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=44\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 2, 4: 3, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=92\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 3, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=92\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=59 Failed, w=92\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=61 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=64 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=69 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=72 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=83 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=94 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=100 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,51],[0,2,37],[0,4,55],[0,6,32],[1,2,93],[1,3,8],[1,4,31],[1,5,21],[1,6,77],[2,3,39],[2,4,58],[3,4,4],[3,5,17],[3,6,41],[4,5,19],[4,6,85],[5,6,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,37],[0,4,55],[0,6,32],[1,2,93],[1,3,8],[1,4,31],[1,5,21],[1,6,77],[2,3,39],[2,4,58],[3,4,4],[3,5,17],[3,6,41],[4,5,19],[4,6,85],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,37],[0,4,55],[0,6,32],[1,2,93],[1,3,8],[1,4,31],[1,5,21],[1,6,77],[2,3,39],[2,4,58],[3,4,4],[3,5,17],[3,6,41],[4,5,19],[4,6,85],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,37],[0,4,55],[0,6,32],[1,2,93],[1,3,8],[1,4,31],[1,5,21],[1,6,77],[2,3,39],[2,4,58],[3,4,4],[3,5,17],[3,6,41],[4,5,19],[4,6,85],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (1,3)=8, w=12\",\"Add (3,5)=17, w=29\",\"Add (0,6)=32, w=61\",\"Add (0,2)=37, w=98\",\"Add (2,3)=39, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,37],[0,4,55],[0,6,32],[1,2,93],[1,3,8],[1,4,31],[1,5,21],[1,6,77],[2,3,39],[2,4,58],[3,4,4],[3,5,17],[3,6,41],[4,5,19],[4,6,85],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (1,3)=8 Succeeded, w=12\",\"Add (3,5)=17 Succeeded, w=29\",\"Add (4,5)=19 Failed, w=29\",\"Add (1,5)=21 Failed, w=29\",\"Add (1,4)=31 Failed, w=29\",\"Add (0,6)=32 Succeeded, w=61\",\"Add (0,2)=37 Succeeded, w=98\",\"Add (2,3)=39 Succeeded, w=137\",\"Add (3,6)=41 Failed, w=137\",\"Add (5,6)=48 Failed, w=137\",\"Add (0,1)=51 Failed, w=137\",\"Add (0,4)=55 Failed, w=137\",\"Add (2,4)=58 Failed, w=137\",\"Add (1,6)=77 Failed, w=137\",\"Add (4,6)=85 Failed, w=137\",\"Add (1,2)=93 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,37],[0,4,55],[0,6,32],[1,2,93],[1,3,8],[1,4,31],[1,5,21],[1,6,77],[2,3,39],[2,4,58],[3,4,4],[3,5,17],[3,6,41],[4,5,19],[4,6,85],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,3)=8,(3,5)=17,(4,5)=19,(1,5)=21,(1,4)=31,(0,6)=32,(0,2)=37,(2,3)=39,(3,6)=41,(5,6)=48,(0,1)=51,(0,4)=55,(2,4)=58,(1,6)=77,(4,6)=85,(1,2)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=12\",\"Find(3)=3, Find(5)=5, Add (3,5)=17 Succeeded, w=29\",\"Find(4)=3, Find(5)=3, Add (4,5)=19 Failed, w=29\",\"Find(1)=3, Find(5)=3, Add (1,5)=21 Failed, w=29\",\"Find(1)=3, Find(4)=3, Add (1,4)=31 Failed, w=29\",\"Find(0)=0, Find(6)=6, Add (0,6)=32 Succeeded, w=61\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=98\",\"Find(2)=0, Find(3)=3, Add (2,3)=39 Succeeded, w=137\",\"Find(3)=0, Find(6)=0, Add (3,6)=41 Failed, w=137\",\"Find(5)=0, Find(6)=0, Add (5,6)=48 Failed, w=137\",\"Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=137\",\"Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=137\",\"Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=137\",\"Find(1)=0, Find(6)=0, Add (1,6)=77 Failed, w=137\",\"Find(4)=0, Find(6)=0, Add (4,6)=85 Failed, w=137\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,51],[0,2,37],[0,4,55],[0,6,32],[1,2,93],[1,3,8],[1,4,31],[1,5,21],[1,6,77],[2,3,39],[2,4,58],[3,4,4],[3,5,17],[3,6,41],[4,5,19],[4,6,85],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(1,3)=8,(3,5)=17,(4,5)=19,(1,5)=21,(1,4)=31,(0,6)=32,(0,2)=37,(2,3)=39,(3,6)=41,(5,6)=48,(0,1)=51,(0,4)=55,(2,4)=58,(1,6)=77,(4,6)=85,(1,2)=93]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=17 Succeeded, w=29\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=3, Add (4,5)=19 Failed, w=29\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=3, Find(5)=3, Add (1,5)=21 Failed, w=29\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=3, Find(4)=3, Add (1,4)=31 Failed, w=29\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=32 Succeeded, w=61\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=98\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=39 Succeeded, w=137\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=41 Failed, w=137\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=48 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=77 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=85 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,2,76],[0,3,56],[1,2,98],[1,3,26],[1,4,88],[1,5,55],[2,4,30],[2,5,8],[2,6,78],[3,4,31],[3,6,83],[4,5,62],[4,6,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,76],[0,3,56],[1,2,98],[1,3,26],[1,4,88],[1,5,55],[2,4,30],[2,5,8],[2,6,78],[3,4,31],[3,6,83],[4,5,62],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,76],[0,3,56],[1,2,98],[1,3,26],[1,4,88],[1,5,55],[2,4,30],[2,5,8],[2,6,78],[3,4,31],[3,6,83],[4,5,62],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (4,6)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,76],[0,3,56],[1,2,98],[1,3,26],[1,4,88],[1,5,55],[2,4,30],[2,5,8],[2,6,78],[3,4,31],[3,6,83],[4,5,62],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8, w=8\",\"Add (0,1)=9, w=17\",\"Add (1,3)=26, w=43\",\"Add (2,4)=30, w=73\",\"Add (3,4)=31, w=104\",\"Add (4,6)=62, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,76],[0,3,56],[1,2,98],[1,3,26],[1,4,88],[1,5,55],[2,4,30],[2,5,8],[2,6,78],[3,4,31],[3,6,83],[4,5,62],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8 Succeeded, w=8\",\"Add (0,1)=9 Succeeded, w=17\",\"Add (1,3)=26 Succeeded, w=43\",\"Add (2,4)=30 Succeeded, w=73\",\"Add (3,4)=31 Succeeded, w=104\",\"Add (1,5)=55 Failed, w=104\",\"Add (0,3)=56 Failed, w=104\",\"Add (4,5)=62 Failed, w=104\",\"Add (4,6)=62 Succeeded, w=166\",\"Add (0,2)=76 Failed, w=166\",\"Add (2,6)=78 Failed, w=166\",\"Add (3,6)=83 Failed, w=166\",\"Add (1,4)=88 Failed, w=166\",\"Add (1,2)=98 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,76],[0,3,56],[1,2,98],[1,3,26],[1,4,88],[1,5,55],[2,4,30],[2,5,8],[2,6,78],[3,4,31],[3,6,83],[4,5,62],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(0,1)=9,(1,3)=26,(2,4)=30,(3,4)=31,(1,5)=55,(0,3)=56,(4,5)=62,(4,6)=62,(0,2)=76,(2,6)=78,(3,6)=83,(1,4)=88,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=17\",\"Find(1)=0, Find(3)=3, Add (1,3)=26 Succeeded, w=43\",\"Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=73\",\"Find(3)=0, Find(4)=2, Add (3,4)=31 Succeeded, w=104\",\"Find(1)=0, Find(5)=0, Add (1,5)=55 Failed, w=104\",\"Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=104\",\"Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=104\",\"Find(4)=0, Find(6)=6, Add (4,6)=62 Succeeded, w=166\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=166\",\"Find(2)=0, Find(6)=0, Add (2,6)=78 Failed, w=166\",\"Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=166\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=166\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,76],[0,3,56],[1,2,98],[1,3,26],[1,4,88],[1,5,55],[2,4,30],[2,5,8],[2,6,78],[3,4,31],[3,6,83],[4,5,62],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(0,1)=9,(1,3)=26,(2,4)=30,(3,4)=31,(1,5)=55,(0,3)=56,(4,5)=62,(4,6)=62,(0,2)=76,(2,6)=78,(3,6)=83,(1,4)=88,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(1)=0, Find(3)=3, Add (1,3)=26 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 6}, Find(3)=0, Find(4)=2, Add (3,4)=31 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 6}, Find(1)=0, Find(5)=0, Add (1,5)=55 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=62 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=78 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,98],[0,6,61],[0,7,15],[1,2,49],[1,4,69],[1,5,45],[1,7,21],[2,4,28],[2,5,72],[2,6,72],[3,4,73],[3,5,27],[4,6,80],[4,7,90],[5,6,9],[5,7,90],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,6,61],[0,7,15],[1,2,49],[1,4,69],[1,5,45],[1,7,21],[2,4,28],[2,5,72],[2,6,72],[3,4,73],[3,5,27],[4,6,80],[4,7,90],[5,6,9],[5,7,90],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,6,61],[0,7,15],[1,2,49],[1,4,69],[1,5,45],[1,7,21],[2,4,28],[2,5,72],[2,6,72],[3,4,73],[3,5,27],[4,6,80],[4,7,90],[5,6,9],[5,7,90],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (5,6)\",\"Add (0,7)\",\"Add (1,7)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,6,61],[0,7,15],[1,2,49],[1,4,69],[1,5,45],[1,7,21],[2,4,28],[2,5,72],[2,6,72],[3,4,73],[3,5,27],[4,6,80],[4,7,90],[5,6,9],[5,7,90],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8, w=8\",\"Add (5,6)=9, w=17\",\"Add (0,7)=15, w=32\",\"Add (1,7)=21, w=53\",\"Add (3,5)=27, w=80\",\"Add (2,4)=28, w=108\",\"Add (1,2)=49, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,6,61],[0,7,15],[1,2,49],[1,4,69],[1,5,45],[1,7,21],[2,4,28],[2,5,72],[2,6,72],[3,4,73],[3,5,27],[4,6,80],[4,7,90],[5,6,9],[5,7,90],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8 Succeeded, w=8\",\"Add (5,6)=9 Succeeded, w=17\",\"Add (0,7)=15 Succeeded, w=32\",\"Add (1,7)=21 Succeeded, w=53\",\"Add (3,5)=27 Succeeded, w=80\",\"Add (2,4)=28 Succeeded, w=108\",\"Add (1,5)=45 Failed, w=108\",\"Add (1,2)=49 Succeeded, w=157\",\"Add (0,6)=61 Failed, w=157\",\"Add (1,4)=69 Failed, w=157\",\"Add (2,5)=72 Failed, w=157\",\"Add (2,6)=72 Failed, w=157\",\"Add (3,4)=73 Failed, w=157\",\"Add (4,6)=80 Failed, w=157\",\"Add (4,7)=90 Failed, w=157\",\"Add (5,7)=90 Failed, w=157\",\"Add (0,3)=98 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,6,61],[0,7,15],[1,2,49],[1,4,69],[1,5,45],[1,7,21],[2,4,28],[2,5,72],[2,6,72],[3,4,73],[3,5,27],[4,6,80],[4,7,90],[5,6,9],[5,7,90],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(5,6)=9,(0,7)=15,(1,7)=21,(3,5)=27,(2,4)=28,(1,5)=45,(1,2)=49,(0,6)=61,(1,4)=69,(2,5)=72,(2,6)=72,(3,4)=73,(4,6)=80,(4,7)=90,(5,7)=90,(0,3)=98]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=17\",\"Find(0)=0, Find(7)=6, Add (0,7)=15 Succeeded, w=32\",\"Find(1)=1, Find(7)=6, Add (1,7)=21 Succeeded, w=53\",\"Find(3)=3, Find(5)=6, Add (3,5)=27 Succeeded, w=80\",\"Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=108\",\"Find(1)=6, Find(5)=6, Add (1,5)=45 Failed, w=108\",\"Find(1)=6, Find(2)=2, Add (1,2)=49 Succeeded, w=157\",\"Find(0)=6, Find(6)=6, Add (0,6)=61 Failed, w=157\",\"Find(1)=6, Find(4)=6, Add (1,4)=69 Failed, w=157\",\"Find(2)=6, Find(5)=6, Add (2,5)=72 Failed, w=157\",\"Find(2)=6, Find(6)=6, Add (2,6)=72 Failed, w=157\",\"Find(3)=6, Find(4)=6, Add (3,4)=73 Failed, w=157\",\"Find(4)=6, Find(6)=6, Add (4,6)=80 Failed, w=157\",\"Find(4)=6, Find(7)=6, Add (4,7)=90 Failed, w=157\",\"Find(5)=6, Find(7)=6, Add (5,7)=90 Failed, w=157\",\"Find(0)=6, Find(3)=6, Add (0,3)=98 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,6,61],[0,7,15],[1,2,49],[1,4,69],[1,5,45],[1,7,21],[2,4,28],[2,5,72],[2,6,72],[3,4,73],[3,5,27],[4,6,80],[4,7,90],[5,6,9],[5,7,90],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(5,6)=9,(0,7)=15,(1,7)=21,(3,5)=27,(2,4)=28,(1,5)=45,(1,2)=49,(0,6)=61,(1,4)=69,(2,5)=72,(2,6)=72,(3,4)=73,(4,6)=80,(4,7)=90,(5,7)=90,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 6, 6: 6, 7: 6}, Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=17\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 4, 5: 6, 6: 6, 7: 6}, Find(0)=0, Find(7)=6, Add (0,7)=15 Succeeded, w=32\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 3, 4: 4, 5: 6, 6: 6, 7: 6}, Find(1)=1, Find(7)=6, Add (1,7)=21 Succeeded, w=53\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 6, 4: 4, 5: 6, 6: 6, 7: 6}, Find(3)=3, Find(5)=6, Add (3,5)=27 Succeeded, w=80\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 6, 4: 2, 5: 6, 6: 6, 7: 6}, Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=108\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 6, 4: 2, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(5)=6, Add (1,5)=45 Failed, w=108\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 2, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(2)=2, Add (1,2)=49 Succeeded, w=157\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 2, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(6)=6, Add (0,6)=61 Failed, w=157\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(4)=6, Add (1,4)=69 Failed, w=157\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(5)=6, Add (2,5)=72 Failed, w=157\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(6)=6, Add (2,6)=72 Failed, w=157\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(4)=6, Add (3,4)=73 Failed, w=157\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(6)=6, Add (4,6)=80 Failed, w=157\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(7)=6, Add (4,7)=90 Failed, w=157\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(7)=6, Add (5,7)=90 Failed, w=157\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(3)=6, Add (0,3)=98 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,32],[0,2,97],[0,3,40],[1,2,60],[1,5,21],[1,6,44],[2,4,14],[2,5,99],[3,4,19],[3,5,69],[4,5,70],[4,6,40],[5,6,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,97],[0,3,40],[1,2,60],[1,5,21],[1,6,44],[2,4,14],[2,5,99],[3,4,19],[3,5,69],[4,5,70],[4,6,40],[5,6,39]]}",
"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],\"edges\":[[0,1,32],[0,2,97],[0,3,40],[1,2,60],[1,5,21],[1,6,44],[2,4,14],[2,5,99],[3,4,19],[3,5,69],[4,5,70],[4,6,40],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (0,3)\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,97],[0,3,40],[1,2,60],[1,5,21],[1,6,44],[2,4,14],[2,5,99],[3,4,19],[3,5,69],[4,5,70],[4,6,40],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14, w=14\",\"Add (3,4)=19, w=33\",\"Add (1,5)=21, w=54\",\"Add (0,1)=32, w=86\",\"Add (5,6)=39, w=125\",\"Add (0,3)=40, 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],\"edges\":[[0,1,32],[0,2,97],[0,3,40],[1,2,60],[1,5,21],[1,6,44],[2,4,14],[2,5,99],[3,4,19],[3,5,69],[4,5,70],[4,6,40],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14 Succeeded, w=14\",\"Add (3,4)=19 Succeeded, w=33\",\"Add (1,5)=21 Succeeded, w=54\",\"Add (0,1)=32 Succeeded, w=86\",\"Add (5,6)=39 Succeeded, w=125\",\"Add (0,3)=40 Succeeded, w=165\",\"Add (4,6)=40 Failed, w=165\",\"Add (1,6)=44 Failed, w=165\",\"Add (1,2)=60 Failed, w=165\",\"Add (3,5)=69 Failed, w=165\",\"Add (4,5)=70 Failed, w=165\",\"Add (0,2)=97 Failed, w=165\",\"Add (2,5)=99 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],\"edges\":[[0,1,32],[0,2,97],[0,3,40],[1,2,60],[1,5,21],[1,6,44],[2,4,14],[2,5,99],[3,4,19],[3,5,69],[4,5,70],[4,6,40],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(3,4)=19,(1,5)=21,(0,1)=32,(5,6)=39,(0,3)=40,(4,6)=40,(1,6)=44,(1,2)=60,(3,5)=69,(4,5)=70,(0,2)=97,(2,5)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Find(3)=3, Find(4)=2, Add (3,4)=19 Succeeded, w=33\",\"Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=54\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=86\",\"Find(5)=1, Find(6)=6, Add (5,6)=39 Succeeded, w=125\",\"Find(0)=1, Find(3)=2, Add (0,3)=40 Succeeded, w=165\",\"Find(4)=1, Find(6)=1, Add (4,6)=40 Failed, w=165\",\"Find(1)=1, Find(6)=1, Add (1,6)=44 Failed, w=165\",\"Find(1)=1, Find(2)=1, Add (1,2)=60 Failed, w=165\",\"Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=165\",\"Find(4)=1, Find(5)=1, Add (4,5)=70 Failed, w=165\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=165\",\"Find(2)=1, Find(5)=1, Add (2,5)=99 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],\"edges\":[[0,1,32],[0,2,97],[0,3,40],[1,2,60],[1,5,21],[1,6,44],[2,4,14],[2,5,99],[3,4,19],[3,5,69],[4,5,70],[4,6,40],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(3,4)=19,(1,5)=21,(0,1)=32,(5,6)=39,(0,3)=40,(4,6)=40,(1,6)=44,(1,2)=60,(3,5)=69,(4,5)=70,(0,2)=97,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=3, Find(4)=2, Add (3,4)=19 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=21 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=39 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1, 6: 1}, Find(0)=1, Find(3)=2, Add (0,3)=40 Succeeded, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=40 Failed, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=44 Failed, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=60 Failed, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=70 Failed, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=165\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,67],[0,3,64],[0,4,56],[1,2,55],[1,3,53],[1,4,30],[2,3,85],[2,4,79],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,64],[0,4,56],[1,2,55],[1,3,53],[1,4,30],[2,3,85],[2,4,79],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,64],[0,4,56],[1,2,55],[1,3,53],[1,4,30],[2,3,85],[2,4,79],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,64],[0,4,56],[1,2,55],[1,3,53],[1,4,30],[2,3,85],[2,4,79],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=27, w=27\",\"Add (1,4)=30, w=57\",\"Add (1,2)=55, w=112\",\"Add (0,4)=56, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,64],[0,4,56],[1,2,55],[1,3,53],[1,4,30],[2,3,85],[2,4,79],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=27 Succeeded, w=27\",\"Add (1,4)=30 Succeeded, w=57\",\"Add (1,3)=53 Failed, w=57\",\"Add (1,2)=55 Succeeded, w=112\",\"Add (0,4)=56 Succeeded, w=168\",\"Add (0,3)=64 Failed, w=168\",\"Add (0,2)=67 Failed, w=168\",\"Add (2,4)=79 Failed, w=168\",\"Add (2,3)=85 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,64],[0,4,56],[1,2,55],[1,3,53],[1,4,30],[2,3,85],[2,4,79],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=27,(1,4)=30,(1,3)=53,(1,2)=55,(0,4)=56,(0,3)=64,(0,2)=67,(2,4)=79,(2,3)=85]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=27\",\"Find(1)=1, Find(4)=3, Add (1,4)=30 Succeeded, w=57\",\"Find(1)=3, Find(3)=3, Add (1,3)=53 Failed, w=57\",\"Find(1)=3, Find(2)=2, Add (1,2)=55 Succeeded, w=112\",\"Find(0)=0, Find(4)=3, Add (0,4)=56 Succeeded, w=168\",\"Find(0)=3, Find(3)=3, Add (0,3)=64 Failed, w=168\",\"Find(0)=3, Find(2)=3, Add (0,2)=67 Failed, w=168\",\"Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=168\",\"Find(2)=3, Find(3)=3, Add (2,3)=85 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,67],[0,3,64],[0,4,56],[1,2,55],[1,3,53],[1,4,30],[2,3,85],[2,4,79],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=27,(1,4)=30,(1,3)=53,(1,2)=55,(0,4)=56,(0,3)=64,(0,2)=67,(2,4)=79,(2,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=30 Succeeded, w=57\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=53 Failed, w=57\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=2, Add (1,2)=55 Succeeded, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=56 Succeeded, w=168\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=64 Failed, w=168\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=67 Failed, w=168\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=168\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=85 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,16],[0,3,18],[1,2,69],[1,3,88],[2,3,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,16],[0,3,18],[1,2,69],[1,3,88],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,16],[0,3,18],[1,2,69],[1,3,88],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,16],[0,3,18],[1,2,69],[1,3,88],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16, w=16\",\"Add (0,3)=18, w=34\",\"Add (1,2)=69, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,16],[0,3,18],[1,2,69],[1,3,88],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16 Succeeded, w=16\",\"Add (0,3)=18 Succeeded, w=34\",\"Add (2,3)=25 Failed, w=34\",\"Add (1,2)=69 Succeeded, w=103\",\"Add (1,3)=88 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,16],[0,3,18],[1,2,69],[1,3,88],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(0,3)=18,(2,3)=25,(1,2)=69,(1,3)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=34\",\"Find(2)=0, Find(3)=0, Add (2,3)=25 Failed, w=34\",\"Find(1)=1, Find(2)=0, Add (1,2)=69 Succeeded, w=103\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,16],[0,3,18],[1,2,69],[1,3,88],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(0,3)=18,(2,3)=25,(1,2)=69,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=25 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=69 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,39],[0,2,36],[0,3,8],[1,2,78],[2,3,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,36],[0,3,8],[1,2,78],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,36],[0,3,8],[1,2,78],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,36],[0,3,8],[1,2,78],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (0,2)=36, w=44\",\"Add (0,1)=39, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,36],[0,3,8],[1,2,78],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (0,2)=36 Succeeded, w=44\",\"Add (0,1)=39 Succeeded, w=83\",\"Add (1,2)=78 Failed, w=83\",\"Add (2,3)=95 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,36],[0,3,8],[1,2,78],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(0,2)=36,(0,1)=39,(1,2)=78,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=83\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,36],[0,3,8],[1,2,78],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(0,2)=36,(0,1)=39,(1,2)=78,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,2,85],[0,3,69],[0,4,35],[0,5,92],[1,2,40],[1,3,23],[1,4,18],[1,5,44],[2,3,48],[2,4,4],[2,5,52],[3,4,87],[3,5,40],[4,5,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,85],[0,3,69],[0,4,35],[0,5,92],[1,2,40],[1,3,23],[1,4,18],[1,5,44],[2,3,48],[2,4,4],[2,5,52],[3,4,87],[3,5,40],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,85],[0,3,69],[0,4,35],[0,5,92],[1,2,40],[1,3,23],[1,4,18],[1,5,44],[2,3,48],[2,4,4],[2,5,52],[3,4,87],[3,5,40],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,85],[0,3,69],[0,4,35],[0,5,92],[1,2,40],[1,3,23],[1,4,18],[1,5,44],[2,3,48],[2,4,4],[2,5,52],[3,4,87],[3,5,40],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (4,5)=11, w=15\",\"Add (1,4)=18, w=33\",\"Add (1,3)=23, w=56\",\"Add (0,4)=35, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,85],[0,3,69],[0,4,35],[0,5,92],[1,2,40],[1,3,23],[1,4,18],[1,5,44],[2,3,48],[2,4,4],[2,5,52],[3,4,87],[3,5,40],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (4,5)=11 Succeeded, w=15\",\"Add (1,4)=18 Succeeded, w=33\",\"Add (1,3)=23 Succeeded, w=56\",\"Add (0,4)=35 Succeeded, w=91\",\"Add (1,2)=40 Failed, w=91\",\"Add (3,5)=40 Failed, w=91\",\"Add (1,5)=44 Failed, w=91\",\"Add (2,3)=48 Failed, w=91\",\"Add (2,5)=52 Failed, w=91\",\"Add (0,1)=60 Failed, w=91\",\"Add (0,3)=69 Failed, w=91\",\"Add (0,2)=85 Failed, w=91\",\"Add (3,4)=87 Failed, w=91\",\"Add (0,5)=92 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,85],[0,3,69],[0,4,35],[0,5,92],[1,2,40],[1,3,23],[1,4,18],[1,5,44],[2,3,48],[2,4,4],[2,5,52],[3,4,87],[3,5,40],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(4,5)=11,(1,4)=18,(1,3)=23,(0,4)=35,(1,2)=40,(3,5)=40,(1,5)=44,(2,3)=48,(2,5)=52,(0,1)=60,(0,3)=69,(0,2)=85,(3,4)=87,(0,5)=92]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(4)=2, Find(5)=5, Add (4,5)=11 Succeeded, w=15\",\"Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=33\",\"Find(1)=2, Find(3)=3, Add (1,3)=23 Succeeded, w=56\",\"Find(0)=0, Find(4)=2, Add (0,4)=35 Succeeded, w=91\",\"Find(1)=2, Find(2)=2, Add (1,2)=40 Failed, w=91\",\"Find(3)=2, Find(5)=2, Add (3,5)=40 Failed, w=91\",\"Find(1)=2, Find(5)=2, Add (1,5)=44 Failed, w=91\",\"Find(2)=2, Find(3)=2, Add (2,3)=48 Failed, w=91\",\"Find(2)=2, Find(5)=2, Add (2,5)=52 Failed, w=91\",\"Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=91\",\"Find(0)=2, Find(3)=2, Add (0,3)=69 Failed, w=91\",\"Find(0)=2, Find(2)=2, Add (0,2)=85 Failed, w=91\",\"Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=91\",\"Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,2,85],[0,3,69],[0,4,35],[0,5,92],[1,2,40],[1,3,23],[1,4,18],[1,5,44],[2,3,48],[2,4,4],[2,5,52],[3,4,87],[3,5,40],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(4,5)=11,(1,4)=18,(1,3)=23,(0,4)=35,(1,2)=40,(3,5)=40,(1,5)=44,(2,3)=48,(2,5)=52,(0,1)=60,(0,3)=69,(0,2)=85,(3,4)=87,(0,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=3, Add (1,3)=23 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(4)=2, Add (0,4)=35 Succeeded, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=40 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=40 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=44 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=48 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=52 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=69 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=85 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=92 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,99],[0,2,52],[0,3,17],[0,4,31],[1,2,99],[1,3,49],[1,4,54],[2,3,8],[2,4,21],[3,4,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,52],[0,3,17],[0,4,31],[1,2,99],[1,3,49],[1,4,54],[2,3,8],[2,4,21],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,52],[0,3,17],[0,4,31],[1,2,99],[1,3,49],[1,4,54],[2,3,8],[2,4,21],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,52],[0,3,17],[0,4,31],[1,2,99],[1,3,49],[1,4,54],[2,3,8],[2,4,21],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,3)=17, w=25\",\"Add (2,4)=21, w=46\",\"Add (1,3)=49, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,52],[0,3,17],[0,4,31],[1,2,99],[1,3,49],[1,4,54],[2,3,8],[2,4,21],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,3)=17 Succeeded, w=25\",\"Add (2,4)=21 Succeeded, w=46\",\"Add (0,4)=31 Failed, w=46\",\"Add (1,3)=49 Succeeded, w=95\",\"Add (0,2)=52 Failed, w=95\",\"Add (1,4)=54 Failed, w=95\",\"Add (3,4)=67 Failed, w=95\",\"Add (0,1)=99 Failed, w=95\",\"Add (1,2)=99 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,52],[0,3,17],[0,4,31],[1,2,99],[1,3,49],[1,4,54],[2,3,8],[2,4,21],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,3)=17,(2,4)=21,(0,4)=31,(1,3)=49,(0,2)=52,(1,4)=54,(3,4)=67,(0,1)=99,(1,2)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=2, Add (0,3)=17 Succeeded, w=25\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=46\",\"Find(0)=2, Find(4)=2, Add (0,4)=31 Failed, w=46\",\"Find(1)=1, Find(3)=2, Add (1,3)=49 Succeeded, w=95\",\"Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=95\",\"Find(1)=2, Find(4)=2, Add (1,4)=54 Failed, w=95\",\"Find(3)=2, Find(4)=2, Add (3,4)=67 Failed, w=95\",\"Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=95\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,99],[0,2,52],[0,3,17],[0,4,31],[1,2,99],[1,3,49],[1,4,54],[2,3,8],[2,4,21],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,3)=17,(2,4)=21,(0,4)=31,(1,3)=49,(0,2)=52,(1,4)=54,(3,4)=67,(0,1)=99,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=17 Succeeded, w=25\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=31 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=49 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=54 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=67 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,14],[0,2,85],[0,3,10],[0,5,39],[0,6,61],[1,2,15],[1,5,10],[1,6,61],[2,3,80],[2,5,31],[3,5,93],[3,6,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,85],[0,3,10],[0,5,39],[0,6,61],[1,2,15],[1,5,10],[1,6,61],[2,3,80],[2,5,31],[3,5,93],[3,6,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,85],[0,3,10],[0,5,39],[0,6,61],[1,2,15],[1,5,10],[1,6,61],[2,3,80],[2,5,31],[3,5,93],[3,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (0,6)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,85],[0,3,10],[0,5,39],[0,6,61],[1,2,15],[1,5,10],[1,6,61],[2,3,80],[2,5,31],[3,5,93],[3,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,5)=10, w=20\",\"Add (0,1)=14, w=34\",\"Add (1,2)=15, w=49\",\"Add (0,6)=61, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,85],[0,3,10],[0,5,39],[0,6,61],[1,2,15],[1,5,10],[1,6,61],[2,3,80],[2,5,31],[3,5,93],[3,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,5)=10 Succeeded, w=20\",\"Add (0,1)=14 Succeeded, w=34\",\"Add (1,2)=15 Succeeded, w=49\",\"Add (2,5)=31 Failed, w=49\",\"Add (0,5)=39 Failed, w=49\",\"Add (0,6)=61 Succeeded, w=110\",\"Add (1,6)=61 Failed, w=110\",\"Add (3,6)=63 Failed, w=110\",\"Add (2,3)=80 Failed, w=110\",\"Add (0,2)=85 Failed, w=110\",\"Add (3,5)=93 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,85],[0,3,10],[0,5,39],[0,6,61],[1,2,15],[1,5,10],[1,6,61],[2,3,80],[2,5,31],[3,5,93],[3,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,5)=10,(0,1)=14,(1,2)=15,(2,5)=31,(0,5)=39,(0,6)=61,(1,6)=61,(3,6)=63,(2,3)=80,(0,2)=85,(3,5)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=20\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=34\",\"Find(1)=0, Find(2)=2, Add (1,2)=15 Succeeded, w=49\",\"Find(2)=0, Find(5)=0, Add (2,5)=31 Failed, w=49\",\"Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=49\",\"Find(0)=0, Find(6)=6, Add (0,6)=61 Succeeded, w=110\",\"Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=110\",\"Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=110\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=110\",\"Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,85],[0,3,10],[0,5,39],[0,6,61],[1,2,15],[1,5,10],[1,6,61],[2,3,80],[2,5,31],[3,5,93],[3,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,5)=10,(0,1)=14,(1,2)=15,(2,5)=31,(0,5)=39,(0,6)=61,(1,6)=61,(3,6)=63,(2,3)=80,(0,2)=85,(3,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 1, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=15 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(5)=0, Add (2,5)=31 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=39 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=61 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,39],[1,3,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,39],[1,3,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,39],[1,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,39],[1,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=39, w=39\",\"Add (1,3)=73, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,39],[1,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=39 Succeeded, w=39\",\"Add (1,3)=73 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,39],[1,3,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=39,(1,3)=73]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=39\",\"Find(1)=1, Find(3)=0, Add (1,3)=73 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,39],[1,3,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=39,(1,3)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=73 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,91],[0,2,14],[0,3,94],[0,4,69],[0,5,71],[0,6,66],[1,2,18],[1,3,25],[1,4,0],[1,5,71],[1,6,30],[1,7,46],[2,3,26],[2,4,18],[2,5,70],[2,6,17],[2,7,100],[3,4,59],[3,5,95],[3,6,23],[3,7,26],[4,5,33],[4,6,88],[4,7,65],[5,6,9],[5,7,30],[6,7,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,14],[0,3,94],[0,4,69],[0,5,71],[0,6,66],[1,2,18],[1,3,25],[1,4,0],[1,5,71],[1,6,30],[1,7,46],[2,3,26],[2,4,18],[2,5,70],[2,6,17],[2,7,100],[3,4,59],[3,5,95],[3,6,23],[3,7,26],[4,5,33],[4,6,88],[4,7,65],[5,6,9],[5,7,30],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,14],[0,3,94],[0,4,69],[0,5,71],[0,6,66],[1,2,18],[1,3,25],[1,4,0],[1,5,71],[1,6,30],[1,7,46],[2,3,26],[2,4,18],[2,5,70],[2,6,17],[2,7,100],[3,4,59],[3,5,95],[3,6,23],[3,7,26],[4,5,33],[4,6,88],[4,7,65],[5,6,9],[5,7,30],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (3,7)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,14],[0,3,94],[0,4,69],[0,5,71],[0,6,66],[1,2,18],[1,3,25],[1,4,0],[1,5,71],[1,6,30],[1,7,46],[2,3,26],[2,4,18],[2,5,70],[2,6,17],[2,7,100],[3,4,59],[3,5,95],[3,6,23],[3,7,26],[4,5,33],[4,6,88],[4,7,65],[5,6,9],[5,7,30],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (5,6)=9, w=9\",\"Add (0,2)=14, w=23\",\"Add (2,6)=17, w=40\",\"Add (1,2)=18, w=58\",\"Add (3,6)=23, w=81\",\"Add (3,7)=26, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,14],[0,3,94],[0,4,69],[0,5,71],[0,6,66],[1,2,18],[1,3,25],[1,4,0],[1,5,71],[1,6,30],[1,7,46],[2,3,26],[2,4,18],[2,5,70],[2,6,17],[2,7,100],[3,4,59],[3,5,95],[3,6,23],[3,7,26],[4,5,33],[4,6,88],[4,7,65],[5,6,9],[5,7,30],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (5,6)=9 Succeeded, w=9\",\"Add (0,2)=14 Succeeded, w=23\",\"Add (2,6)=17 Succeeded, w=40\",\"Add (1,2)=18 Succeeded, w=58\",\"Add (2,4)=18 Failed, w=58\",\"Add (3,6)=23 Succeeded, w=81\",\"Add (1,3)=25 Failed, w=81\",\"Add (2,3)=26 Failed, w=81\",\"Add (3,7)=26 Succeeded, w=107\",\"Add (1,6)=30 Failed, w=107\",\"Add (5,7)=30 Failed, w=107\",\"Add (4,5)=33 Failed, w=107\",\"Add (1,7)=46 Failed, w=107\",\"Add (3,4)=59 Failed, w=107\",\"Add (4,7)=65 Failed, w=107\",\"Add (0,6)=66 Failed, w=107\",\"Add (0,4)=69 Failed, w=107\",\"Add (2,5)=70 Failed, w=107\",\"Add (0,5)=71 Failed, w=107\",\"Add (1,5)=71 Failed, w=107\",\"Add (4,6)=88 Failed, w=107\",\"Add (0,1)=91 Failed, w=107\",\"Add (0,3)=94 Failed, w=107\",\"Add (3,5)=95 Failed, w=107\",\"Add (6,7)=96 Failed, w=107\",\"Add (2,7)=100 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,14],[0,3,94],[0,4,69],[0,5,71],[0,6,66],[1,2,18],[1,3,25],[1,4,0],[1,5,71],[1,6,30],[1,7,46],[2,3,26],[2,4,18],[2,5,70],[2,6,17],[2,7,100],[3,4,59],[3,5,95],[3,6,23],[3,7,26],[4,5,33],[4,6,88],[4,7,65],[5,6,9],[5,7,30],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(5,6)=9,(0,2)=14,(2,6)=17,(1,2)=18,(2,4)=18,(3,6)=23,(1,3)=25,(2,3)=26,(3,7)=26,(1,6)=30,(5,7)=30,(4,5)=33,(1,7)=46,(3,4)=59,(4,7)=65,(0,6)=66,(0,4)=69,(2,5)=70,(0,5)=71,(1,5)=71,(4,6)=88,(0,1)=91,(0,3)=94,(3,5)=95,(6,7)=96,(2,7)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=23\",\"Find(2)=0, Find(6)=5, Add (2,6)=17 Succeeded, w=40\",\"Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=58\",\"Find(2)=0, Find(4)=0, Add (2,4)=18 Failed, w=58\",\"Find(3)=3, Find(6)=0, Add (3,6)=23 Succeeded, w=81\",\"Find(1)=0, Find(3)=0, Add (1,3)=25 Failed, w=81\",\"Find(2)=0, Find(3)=0, Add (2,3)=26 Failed, w=81\",\"Find(3)=0, Find(7)=7, Add (3,7)=26 Succeeded, w=107\",\"Find(1)=0, Find(6)=0, Add (1,6)=30 Failed, w=107\",\"Find(5)=0, Find(7)=0, Add (5,7)=30 Failed, w=107\",\"Find(4)=0, Find(5)=0, Add (4,5)=33 Failed, w=107\",\"Find(1)=0, Find(7)=0, Add (1,7)=46 Failed, w=107\",\"Find(3)=0, Find(4)=0, Add (3,4)=59 Failed, w=107\",\"Find(4)=0, Find(7)=0, Add (4,7)=65 Failed, w=107\",\"Find(0)=0, Find(6)=0, Add (0,6)=66 Failed, w=107\",\"Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=107\",\"Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=107\",\"Find(0)=0, Find(5)=0, Add (0,5)=71 Failed, w=107\",\"Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=107\",\"Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=107\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=107\",\"Find(0)=0, Find(3)=0, Add (0,3)=94 Failed, w=107\",\"Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=107\",\"Find(6)=0, Find(7)=0, Add (6,7)=96 Failed, w=107\",\"Find(2)=0, Find(7)=0, Add (2,7)=100 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,14],[0,3,94],[0,4,69],[0,5,71],[0,6,66],[1,2,18],[1,3,25],[1,4,0],[1,5,71],[1,6,30],[1,7,46],[2,3,26],[2,4,18],[2,5,70],[2,6,17],[2,7,100],[3,4,59],[3,5,95],[3,6,23],[3,7,26],[4,5,33],[4,6,88],[4,7,65],[5,6,9],[5,7,30],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(5,6)=9,(0,2)=14,(2,6)=17,(1,2)=18,(2,4)=18,(3,6)=23,(1,3)=25,(2,3)=26,(3,7)=26,(1,6)=30,(5,7)=30,(4,5)=33,(1,7)=46,(3,4)=59,(4,7)=65,(0,6)=66,(0,4)=69,(2,5)=70,(0,5)=71,(1,5)=71,(4,6)=88,(0,1)=91,(0,3)=94,(3,5)=95,(6,7)=96,(2,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0, 6: 5, 7: 7}, Find(2)=0, Find(6)=5, Add (2,6)=17 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 0, 6: 5, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 5, 7: 7}, Find(2)=0, Find(4)=0, Add (2,4)=18 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(3)=3, Find(6)=0, Add (3,6)=23 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(3)=0, Add (1,3)=25 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(3)=0, Add (2,3)=26 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=26 Succeeded, w=107\",\"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)=30 Failed, w=107\",\"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)=30 Failed, w=107\",\"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)=33 Failed, w=107\",\"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)=46 Failed, w=107\",\"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)=59 Failed, w=107\",\"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)=65 Failed, w=107\",\"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)=66 Failed, w=107\",\"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)=69 Failed, w=107\",\"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)=70 Failed, w=107\",\"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)=71 Failed, w=107\",\"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)=71 Failed, w=107\",\"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)=88 Failed, w=107\",\"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)=91 Failed, w=107\",\"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)=94 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=107\",\"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)=96 Failed, w=107\",\"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)=100 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,5],[0,2,56],[0,3,33],[1,2,61],[1,3,9],[1,4,14],[1,5,21],[2,3,47],[2,4,40],[2,5,76],[3,4,63],[3,5,91],[4,5,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,56],[0,3,33],[1,2,61],[1,3,9],[1,4,14],[1,5,21],[2,3,47],[2,4,40],[2,5,76],[3,4,63],[3,5,91],[4,5,67]]}",
"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],\"edges\":[[0,1,5],[0,2,56],[0,3,33],[1,2,61],[1,3,9],[1,4,14],[1,5,21],[2,3,47],[2,4,40],[2,5,76],[3,4,63],[3,5,91],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (1,5)\",\"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],\"edges\":[[0,1,5],[0,2,56],[0,3,33],[1,2,61],[1,3,9],[1,4,14],[1,5,21],[2,3,47],[2,4,40],[2,5,76],[3,4,63],[3,5,91],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (1,3)=9, w=14\",\"Add (1,4)=14, w=28\",\"Add (1,5)=21, w=49\",\"Add (2,4)=40, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,56],[0,3,33],[1,2,61],[1,3,9],[1,4,14],[1,5,21],[2,3,47],[2,4,40],[2,5,76],[3,4,63],[3,5,91],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (1,3)=9 Succeeded, w=14\",\"Add (1,4)=14 Succeeded, w=28\",\"Add (1,5)=21 Succeeded, w=49\",\"Add (0,3)=33 Failed, w=49\",\"Add (2,4)=40 Succeeded, w=89\",\"Add (2,3)=47 Failed, w=89\",\"Add (0,2)=56 Failed, w=89\",\"Add (1,2)=61 Failed, w=89\",\"Add (3,4)=63 Failed, w=89\",\"Add (4,5)=67 Failed, w=89\",\"Add (2,5)=76 Failed, w=89\",\"Add (3,5)=91 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],\"edges\":[[0,1,5],[0,2,56],[0,3,33],[1,2,61],[1,3,9],[1,4,14],[1,5,21],[2,3,47],[2,4,40],[2,5,76],[3,4,63],[3,5,91],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,3)=9,(1,4)=14,(1,5)=21,(0,3)=33,(2,4)=40,(2,3)=47,(0,2)=56,(1,2)=61,(3,4)=63,(4,5)=67,(2,5)=76,(3,5)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(1)=0, Find(3)=3, Add (1,3)=9 Succeeded, w=14\",\"Find(1)=0, Find(4)=4, Add (1,4)=14 Succeeded, w=28\",\"Find(1)=0, Find(5)=5, Add (1,5)=21 Succeeded, w=49\",\"Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=49\",\"Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=89\",\"Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=89\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=89\",\"Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=89\",\"Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=89\",\"Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=89\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 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],\"edges\":[[0,1,5],[0,2,56],[0,3,33],[1,2,61],[1,3,9],[1,4,14],[1,5,21],[2,3,47],[2,4,40],[2,5,76],[3,4,63],[3,5,91],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,3)=9,(1,4)=14,(1,5)=21,(0,3)=33,(2,4)=40,(2,3)=47,(0,2)=56,(1,2)=61,(3,4)=63,(4,5)=67,(2,5)=76,(3,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=0, Find(3)=3, Add (1,3)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=21 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=40 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=56 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,28],[0,3,70],[0,4,9],[0,6,3],[0,7,73],[1,2,37],[1,3,28],[1,5,56],[1,6,73],[1,7,5],[2,3,10],[2,4,86],[2,6,68],[2,7,5],[3,4,90],[3,5,84],[3,6,63],[3,7,98],[4,5,1],[4,6,36],[4,7,98],[5,6,23],[5,7,68],[6,7,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,3,70],[0,4,9],[0,6,3],[0,7,73],[1,2,37],[1,3,28],[1,5,56],[1,6,73],[1,7,5],[2,3,10],[2,4,86],[2,6,68],[2,7,5],[3,4,90],[3,5,84],[3,6,63],[3,7,98],[4,5,1],[4,6,36],[4,7,98],[5,6,23],[5,7,68],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,3,70],[0,4,9],[0,6,3],[0,7,73],[1,2,37],[1,3,28],[1,5,56],[1,6,73],[1,7,5],[2,3,10],[2,4,86],[2,6,68],[2,7,5],[3,4,90],[3,5,84],[3,6,63],[3,7,98],[4,5,1],[4,6,36],[4,7,98],[5,6,23],[5,7,68],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,6)\",\"Add (1,7)\",\"Add (2,7)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,3,70],[0,4,9],[0,6,3],[0,7,73],[1,2,37],[1,3,28],[1,5,56],[1,6,73],[1,7,5],[2,3,10],[2,4,86],[2,6,68],[2,7,5],[3,4,90],[3,5,84],[3,6,63],[3,7,98],[4,5,1],[4,6,36],[4,7,98],[5,6,23],[5,7,68],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (0,6)=3, w=4\",\"Add (1,7)=5, w=9\",\"Add (2,7)=5, w=14\",\"Add (0,4)=9, w=23\",\"Add (2,3)=10, w=33\",\"Add (0,1)=28, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,3,70],[0,4,9],[0,6,3],[0,7,73],[1,2,37],[1,3,28],[1,5,56],[1,6,73],[1,7,5],[2,3,10],[2,4,86],[2,6,68],[2,7,5],[3,4,90],[3,5,84],[3,6,63],[3,7,98],[4,5,1],[4,6,36],[4,7,98],[5,6,23],[5,7,68],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (0,6)=3 Succeeded, w=4\",\"Add (1,7)=5 Succeeded, w=9\",\"Add (2,7)=5 Succeeded, w=14\",\"Add (0,4)=9 Succeeded, w=23\",\"Add (2,3)=10 Succeeded, w=33\",\"Add (5,6)=23 Failed, w=33\",\"Add (0,1)=28 Succeeded, w=61\",\"Add (1,3)=28 Failed, w=61\",\"Add (4,6)=36 Failed, w=61\",\"Add (1,2)=37 Failed, w=61\",\"Add (1,5)=56 Failed, w=61\",\"Add (3,6)=63 Failed, w=61\",\"Add (2,6)=68 Failed, w=61\",\"Add (5,7)=68 Failed, w=61\",\"Add (0,3)=70 Failed, w=61\",\"Add (0,7)=73 Failed, w=61\",\"Add (1,6)=73 Failed, w=61\",\"Add (6,7)=83 Failed, w=61\",\"Add (3,5)=84 Failed, w=61\",\"Add (2,4)=86 Failed, w=61\",\"Add (3,4)=90 Failed, w=61\",\"Add (3,7)=98 Failed, w=61\",\"Add (4,7)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,3,70],[0,4,9],[0,6,3],[0,7,73],[1,2,37],[1,3,28],[1,5,56],[1,6,73],[1,7,5],[2,3,10],[2,4,86],[2,6,68],[2,7,5],[3,4,90],[3,5,84],[3,6,63],[3,7,98],[4,5,1],[4,6,36],[4,7,98],[5,6,23],[5,7,68],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,6)=3,(1,7)=5,(2,7)=5,(0,4)=9,(2,3)=10,(5,6)=23,(0,1)=28,(1,3)=28,(4,6)=36,(1,2)=37,(1,5)=56,(3,6)=63,(2,6)=68,(5,7)=68,(0,3)=70,(0,7)=73,(1,6)=73,(6,7)=83,(3,5)=84,(2,4)=86,(3,4)=90,(3,7)=98,(4,7)=98]\",\"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(1)=1, Find(7)=7, Add (1,7)=5 Succeeded, w=9\",\"Find(2)=2, Find(7)=1, Add (2,7)=5 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=23\",\"Find(2)=1, Find(3)=3, Add (2,3)=10 Succeeded, w=33\",\"Find(5)=0, Find(6)=0, Add (5,6)=23 Failed, w=33\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=61\",\"Find(1)=0, Find(3)=0, Add (1,3)=28 Failed, w=61\",\"Find(4)=0, Find(6)=0, Add (4,6)=36 Failed, w=61\",\"Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=61\",\"Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=61\",\"Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=61\",\"Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=61\",\"Find(5)=0, Find(7)=0, Add (5,7)=68 Failed, w=61\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=61\",\"Find(0)=0, Find(7)=0, Add (0,7)=73 Failed, w=61\",\"Find(1)=0, Find(6)=0, Add (1,6)=73 Failed, w=61\",\"Find(6)=0, Find(7)=0, Add (6,7)=83 Failed, w=61\",\"Find(3)=0, Find(5)=0, Add (3,5)=84 Failed, w=61\",\"Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=61\",\"Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=61\",\"Find(3)=0, Find(7)=0, Add (3,7)=98 Failed, w=61\",\"Find(4)=0, Find(7)=0, Add (4,7)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,3,70],[0,4,9],[0,6,3],[0,7,73],[1,2,37],[1,3,28],[1,5,56],[1,6,73],[1,7,5],[2,3,10],[2,4,86],[2,6,68],[2,7,5],[3,4,90],[3,5,84],[3,6,63],[3,7,98],[4,5,1],[4,6,36],[4,7,98],[5,6,23],[5,7,68],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,6)=3,(1,7)=5,(2,7)=5,(0,4)=9,(2,3)=10,(5,6)=23,(0,1)=28,(1,3)=28,(4,6)=36,(1,2)=37,(1,5)=56,(3,6)=63,(2,6)=68,(5,7)=68,(0,3)=70,(0,7)=73,(1,6)=73,(6,7)=83,(3,5)=84,(2,4)=86,(3,4)=90,(3,7)=98,(4,7)=98]\",\"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: 1}, Find(1)=1, Find(7)=7, Add (1,7)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 0, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=5 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 4, 6: 0, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 4, 6: 0, 7: 1}, Find(2)=1, Find(3)=3, Add (2,3)=10 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0, 6: 0, 7: 1}, Find(5)=0, Find(6)=0, Add (5,6)=23 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 0, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(3)=0, Add (1,3)=28 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(4)=0, Find(6)=0, Add (4,6)=36 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=61\",\"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)=68 Failed, w=61\",\"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)=70 Failed, w=61\",\"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)=73 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=73 Failed, w=61\",\"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)=83 Failed, w=61\",\"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)=84 Failed, w=61\",\"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)=86 Failed, w=61\",\"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)=90 Failed, w=61\",\"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)=98 Failed, w=61\",\"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)=98 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[0,2,3],[0,3,91],[0,4,96],[0,5,76],[0,6,60],[1,2,32],[1,3,50],[1,4,16],[1,5,100],[1,6,100],[2,3,40],[2,4,37],[2,5,100],[2,6,35],[3,4,80],[3,5,72],[3,6,96],[4,5,1],[4,6,63],[5,6,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,3],[0,3,91],[0,4,96],[0,5,76],[0,6,60],[1,2,32],[1,3,50],[1,4,16],[1,5,100],[1,6,100],[2,3,40],[2,4,37],[2,5,100],[2,6,35],[3,4,80],[3,5,72],[3,6,96],[4,5,1],[4,6,63],[5,6,70]]}",
"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],\"edges\":[[0,1,71],[0,2,3],[0,3,91],[0,4,96],[0,5,76],[0,6,60],[1,2,32],[1,3,50],[1,4,16],[1,5,100],[1,6,100],[2,3,40],[2,4,37],[2,5,100],[2,6,35],[3,4,80],[3,5,72],[3,6,96],[4,5,1],[4,6,63],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (2,6)\",\"Add (2,3)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,3],[0,3,91],[0,4,96],[0,5,76],[0,6,60],[1,2,32],[1,3,50],[1,4,16],[1,5,100],[1,6,100],[2,3,40],[2,4,37],[2,5,100],[2,6,35],[3,4,80],[3,5,72],[3,6,96],[4,5,1],[4,6,63],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (0,2)=3, w=4\",\"Add (1,4)=16, w=20\",\"Add (1,2)=32, w=52\",\"Add (2,6)=35, w=87\",\"Add (2,3)=40, 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],\"edges\":[[0,1,71],[0,2,3],[0,3,91],[0,4,96],[0,5,76],[0,6,60],[1,2,32],[1,3,50],[1,4,16],[1,5,100],[1,6,100],[2,3,40],[2,4,37],[2,5,100],[2,6,35],[3,4,80],[3,5,72],[3,6,96],[4,5,1],[4,6,63],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (0,2)=3 Succeeded, w=4\",\"Add (1,4)=16 Succeeded, w=20\",\"Add (1,2)=32 Succeeded, w=52\",\"Add (2,6)=35 Succeeded, w=87\",\"Add (2,4)=37 Failed, w=87\",\"Add (2,3)=40 Succeeded, w=127\",\"Add (1,3)=50 Failed, w=127\",\"Add (0,6)=60 Failed, w=127\",\"Add (4,6)=63 Failed, w=127\",\"Add (5,6)=70 Failed, w=127\",\"Add (0,1)=71 Failed, w=127\",\"Add (3,5)=72 Failed, w=127\",\"Add (0,5)=76 Failed, w=127\",\"Add (3,4)=80 Failed, w=127\",\"Add (0,3)=91 Failed, w=127\",\"Add (0,4)=96 Failed, w=127\",\"Add (3,6)=96 Failed, w=127\",\"Add (1,5)=100 Failed, w=127\",\"Add (1,6)=100 Failed, w=127\",\"Add (2,5)=100 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],\"edges\":[[0,1,71],[0,2,3],[0,3,91],[0,4,96],[0,5,76],[0,6,60],[1,2,32],[1,3,50],[1,4,16],[1,5,100],[1,6,100],[2,3,40],[2,4,37],[2,5,100],[2,6,35],[3,4,80],[3,5,72],[3,6,96],[4,5,1],[4,6,63],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,2)=3,(1,4)=16,(1,2)=32,(2,6)=35,(2,4)=37,(2,3)=40,(1,3)=50,(0,6)=60,(4,6)=63,(5,6)=70,(0,1)=71,(3,5)=72,(0,5)=76,(3,4)=80,(0,3)=91,(0,4)=96,(3,6)=96,(1,5)=100,(1,6)=100,(2,5)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=20\",\"Find(1)=4, Find(2)=0, Add (1,2)=32 Succeeded, w=52\",\"Find(2)=4, Find(6)=6, Add (2,6)=35 Succeeded, w=87\",\"Find(2)=4, Find(4)=4, Add (2,4)=37 Failed, w=87\",\"Find(2)=4, Find(3)=3, Add (2,3)=40 Succeeded, w=127\",\"Find(1)=4, Find(3)=4, Add (1,3)=50 Failed, w=127\",\"Find(0)=4, Find(6)=4, Add (0,6)=60 Failed, w=127\",\"Find(4)=4, Find(6)=4, Add (4,6)=63 Failed, w=127\",\"Find(5)=4, Find(6)=4, Add (5,6)=70 Failed, w=127\",\"Find(0)=4, Find(1)=4, Add (0,1)=71 Failed, w=127\",\"Find(3)=4, Find(5)=4, Add (3,5)=72 Failed, w=127\",\"Find(0)=4, Find(5)=4, Add (0,5)=76 Failed, w=127\",\"Find(3)=4, Find(4)=4, Add (3,4)=80 Failed, w=127\",\"Find(0)=4, Find(3)=4, Add (0,3)=91 Failed, w=127\",\"Find(0)=4, Find(4)=4, Add (0,4)=96 Failed, w=127\",\"Find(3)=4, Find(6)=4, Add (3,6)=96 Failed, w=127\",\"Find(1)=4, Find(5)=4, Add (1,5)=100 Failed, w=127\",\"Find(1)=4, Find(6)=4, Add (1,6)=100 Failed, w=127\",\"Find(2)=4, Find(5)=4, Add (2,5)=100 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],\"edges\":[[0,1,71],[0,2,3],[0,3,91],[0,4,96],[0,5,76],[0,6,60],[1,2,32],[1,3,50],[1,4,16],[1,5,100],[1,6,100],[2,3,40],[2,4,37],[2,5,100],[2,6,35],[3,4,80],[3,5,72],[3,6,96],[4,5,1],[4,6,63],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,2)=3,(1,4)=16,(1,2)=32,(2,6)=35,(2,4)=37,(2,3)=40,(1,3)=50,(0,6)=60,(4,6)=63,(5,6)=70,(0,1)=71,(3,5)=72,(0,5)=76,(3,4)=80,(0,3)=91,(0,4)=96,(3,6)=96,(1,5)=100,(1,6)=100,(2,5)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=20\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=4, Find(2)=0, Add (1,2)=32 Succeeded, w=52\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=6, Add (2,6)=35 Succeeded, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=37 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=3, Add (2,3)=40 Succeeded, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=50 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=60 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=63 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=70 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=71 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=72 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=76 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=80 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=91 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=96 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=96 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=100 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=100 Failed, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=100 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,2,88],[0,3,79],[0,4,58],[0,5,36],[1,5,7],[2,3,75],[3,4,13],[3,5,71],[4,5,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,88],[0,3,79],[0,4,58],[0,5,36],[1,5,7],[2,3,75],[3,4,13],[3,5,71],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,88],[0,3,79],[0,4,58],[0,5,36],[1,5,7],[2,3,75],[3,4,13],[3,5,71],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (2,3)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,88],[0,3,79],[0,4,58],[0,5,36],[1,5,7],[2,3,75],[3,4,13],[3,5,71],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (3,4)=13, w=20\",\"Add (0,5)=36, w=56\",\"Add (4,5)=46, w=102\",\"Add (2,3)=75, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,88],[0,3,79],[0,4,58],[0,5,36],[1,5,7],[2,3,75],[3,4,13],[3,5,71],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (3,4)=13 Succeeded, w=20\",\"Add (0,5)=36 Succeeded, w=56\",\"Add (4,5)=46 Succeeded, w=102\",\"Add (0,1)=48 Failed, w=102\",\"Add (0,4)=58 Failed, w=102\",\"Add (3,5)=71 Failed, w=102\",\"Add (2,3)=75 Succeeded, w=177\",\"Add (0,3)=79 Failed, w=177\",\"Add (0,2)=88 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,88],[0,3,79],[0,4,58],[0,5,36],[1,5,7],[2,3,75],[3,4,13],[3,5,71],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(3,4)=13,(0,5)=36,(4,5)=46,(0,1)=48,(0,4)=58,(3,5)=71,(2,3)=75,(0,3)=79,(0,2)=88]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=20\",\"Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=56\",\"Find(4)=3, Find(5)=1, Add (4,5)=46 Succeeded, w=102\",\"Find(0)=3, Find(1)=3, Add (0,1)=48 Failed, w=102\",\"Find(0)=3, Find(4)=3, Add (0,4)=58 Failed, w=102\",\"Find(3)=3, Find(5)=3, Add (3,5)=71 Failed, w=102\",\"Find(2)=2, Find(3)=3, Add (2,3)=75 Succeeded, w=177\",\"Find(0)=3, Find(3)=3, Add (0,3)=79 Failed, w=177\",\"Find(0)=3, Find(2)=3, Add (0,2)=88 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,88],[0,3,79],[0,4,58],[0,5,36],[1,5,7],[2,3,75],[3,4,13],[3,5,71],[4,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(3,4)=13,(0,5)=36,(4,5)=46,(0,1)=48,(0,4)=58,(3,5)=71,(2,3)=75,(0,3)=79,(0,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=56\",\"Parent: {0: 1, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1}, Find(4)=3, Find(5)=1, Add (4,5)=46 Succeeded, w=102\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(1)=3, Add (0,1)=48 Failed, w=102\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(4)=3, Add (0,4)=58 Failed, w=102\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=71 Failed, w=102\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=75 Succeeded, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=79 Failed, w=177\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=88 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,14],[0,3,25],[1,2,93],[1,3,86],[2,3,63],[2,4,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,14],[0,3,25],[1,2,93],[1,3,86],[2,3,63],[2,4,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,14],[0,3,25],[1,2,93],[1,3,86],[2,3,63],[2,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,14],[0,3,25],[1,2,93],[1,3,86],[2,3,63],[2,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9, w=9\",\"Add (0,2)=14, w=23\",\"Add (0,3)=25, w=48\",\"Add (0,1)=36, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,14],[0,3,25],[1,2,93],[1,3,86],[2,3,63],[2,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=9 Succeeded, w=9\",\"Add (0,2)=14 Succeeded, w=23\",\"Add (0,3)=25 Succeeded, w=48\",\"Add (0,1)=36 Succeeded, w=84\",\"Add (2,3)=63 Failed, w=84\",\"Add (1,3)=86 Failed, w=84\",\"Add (1,2)=93 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,14],[0,3,25],[1,2,93],[1,3,86],[2,3,63],[2,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(0,2)=14,(0,3)=25,(0,1)=36,(2,3)=63,(1,3)=86,(1,2)=93]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=23\",\"Find(0)=2, Find(3)=3, Add (0,3)=25 Succeeded, w=48\",\"Find(0)=2, Find(1)=1, Add (0,1)=36 Succeeded, w=84\",\"Find(2)=2, Find(3)=2, Add (2,3)=63 Failed, w=84\",\"Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=84\",\"Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,14],[0,3,25],[1,2,93],[1,3,86],[2,3,63],[2,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=9,(0,2)=14,(0,3)=25,(0,1)=36,(2,3)=63,(1,3)=86,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=23\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=25 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=36 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=63 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,71],[0,2,38],[0,3,93],[0,4,90],[1,2,51],[1,3,28],[1,4,26],[2,4,69],[2,5,57],[3,4,90],[3,5,75],[4,5,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,93],[0,4,90],[1,2,51],[1,3,28],[1,4,26],[2,4,69],[2,5,57],[3,4,90],[3,5,75],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,93],[0,4,90],[1,2,51],[1,3,28],[1,4,26],[2,4,69],[2,5,57],[3,4,90],[3,5,75],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (2,5)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,93],[0,4,90],[1,2,51],[1,3,28],[1,4,26],[2,4,69],[2,5,57],[3,4,90],[3,5,75],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=26, w=26\",\"Add (1,3)=28, w=54\",\"Add (0,2)=38, w=92\",\"Add (1,2)=51, w=143\",\"Add (2,5)=57, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,93],[0,4,90],[1,2,51],[1,3,28],[1,4,26],[2,4,69],[2,5,57],[3,4,90],[3,5,75],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=26 Succeeded, w=26\",\"Add (1,3)=28 Succeeded, w=54\",\"Add (0,2)=38 Succeeded, w=92\",\"Add (1,2)=51 Succeeded, w=143\",\"Add (2,5)=57 Succeeded, w=200\",\"Add (2,4)=69 Failed, w=200\",\"Add (0,1)=71 Failed, w=200\",\"Add (3,5)=75 Failed, w=200\",\"Add (0,4)=90 Failed, w=200\",\"Add (3,4)=90 Failed, w=200\",\"Add (4,5)=92 Failed, w=200\",\"Add (0,3)=93 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,93],[0,4,90],[1,2,51],[1,3,28],[1,4,26],[2,4,69],[2,5,57],[3,4,90],[3,5,75],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=26,(1,3)=28,(0,2)=38,(1,2)=51,(2,5)=57,(2,4)=69,(0,1)=71,(3,5)=75,(0,4)=90,(3,4)=90,(4,5)=92,(0,3)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=26\",\"Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=54\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=92\",\"Find(1)=1, Find(2)=0, Add (1,2)=51 Succeeded, w=143\",\"Find(2)=1, Find(5)=5, Add (2,5)=57 Succeeded, w=200\",\"Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=200\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=200\",\"Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=200\",\"Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=200\",\"Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=200\",\"Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=200\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,38],[0,3,93],[0,4,90],[1,2,51],[1,3,28],[1,4,26],[2,4,69],[2,5,57],[3,4,90],[3,5,75],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=26,(1,3)=28,(0,2)=38,(1,2)=51,(2,5)=57,(2,4)=69,(0,1)=71,(3,5)=75,(0,4)=90,(3,4)=90,(4,5)=92,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(2)=0, Add (1,2)=51 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=57 Succeeded, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=69 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=90 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,12],[0,4,25],[1,2,67],[1,4,22],[2,3,37],[2,4,88],[3,4,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,12],[0,4,25],[1,2,67],[1,4,22],[2,3,37],[2,4,88],[3,4,41]]}",
"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\":[[0,1,37],[0,2,12],[0,4,25],[1,2,67],[1,4,22],[2,3,37],[2,4,88],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,12],[0,4,25],[1,2,67],[1,4,22],[2,3,37],[2,4,88],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (1,4)=22, w=34\",\"Add (0,4)=25, w=59\",\"Add (2,3)=37, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,12],[0,4,25],[1,2,67],[1,4,22],[2,3,37],[2,4,88],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (1,4)=22 Succeeded, w=34\",\"Add (0,4)=25 Succeeded, w=59\",\"Add (0,1)=37 Failed, w=59\",\"Add (2,3)=37 Succeeded, w=96\",\"Add (3,4)=41 Failed, w=96\",\"Add (1,2)=67 Failed, w=96\",\"Add (2,4)=88 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\":[[0,1,37],[0,2,12],[0,4,25],[1,2,67],[1,4,22],[2,3,37],[2,4,88],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,4)=22,(0,4)=25,(0,1)=37,(2,3)=37,(3,4)=41,(1,2)=67,(2,4)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=34\",\"Find(0)=0, Find(4)=1, Add (0,4)=25 Succeeded, w=59\",\"Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=59\",\"Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 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\":[[0,1,37],[0,2,12],[0,4,25],[1,2,67],[1,4,22],[2,3,37],[2,4,88],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,4)=22,(0,4)=25,(0,1)=37,(2,3)=37,(3,4)=41,(1,2)=67,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=25 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=3, Add (2,3)=37 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,74],[0,2,48],[0,3,23],[0,5,52],[0,6,18],[1,2,84],[1,3,19],[1,4,13],[1,5,59],[2,3,40],[2,4,32],[2,5,63],[2,6,25],[3,4,4],[3,5,96],[3,6,69],[4,5,4],[4,6,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,48],[0,3,23],[0,5,52],[0,6,18],[1,2,84],[1,3,19],[1,4,13],[1,5,59],[2,3,40],[2,4,32],[2,5,63],[2,6,25],[3,4,4],[3,5,96],[3,6,69],[4,5,4],[4,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,48],[0,3,23],[0,5,52],[0,6,18],[1,2,84],[1,3,19],[1,4,13],[1,5,59],[2,3,40],[2,4,32],[2,5,63],[2,6,25],[3,4,4],[3,5,96],[3,6,69],[4,5,4],[4,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (0,3)\",\"Add (2,6)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,48],[0,3,23],[0,5,52],[0,6,18],[1,2,84],[1,3,19],[1,4,13],[1,5,59],[2,3,40],[2,4,32],[2,5,63],[2,6,25],[3,4,4],[3,5,96],[3,6,69],[4,5,4],[4,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (4,5)=4, w=8\",\"Add (1,4)=13, w=21\",\"Add (0,6)=18, w=39\",\"Add (0,3)=23, w=62\",\"Add (2,6)=25, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,48],[0,3,23],[0,5,52],[0,6,18],[1,2,84],[1,3,19],[1,4,13],[1,5,59],[2,3,40],[2,4,32],[2,5,63],[2,6,25],[3,4,4],[3,5,96],[3,6,69],[4,5,4],[4,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (4,5)=4 Succeeded, w=8\",\"Add (1,4)=13 Succeeded, w=21\",\"Add (0,6)=18 Succeeded, w=39\",\"Add (1,3)=19 Failed, w=39\",\"Add (0,3)=23 Succeeded, w=62\",\"Add (2,6)=25 Succeeded, w=87\",\"Add (2,4)=32 Failed, w=87\",\"Add (2,3)=40 Failed, w=87\",\"Add (0,2)=48 Failed, w=87\",\"Add (4,6)=48 Failed, w=87\",\"Add (0,5)=52 Failed, w=87\",\"Add (1,5)=59 Failed, w=87\",\"Add (2,5)=63 Failed, w=87\",\"Add (3,6)=69 Failed, w=87\",\"Add (0,1)=74 Failed, w=87\",\"Add (1,2)=84 Failed, w=87\",\"Add (3,5)=96 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,48],[0,3,23],[0,5,52],[0,6,18],[1,2,84],[1,3,19],[1,4,13],[1,5,59],[2,3,40],[2,4,32],[2,5,63],[2,6,25],[3,4,4],[3,5,96],[3,6,69],[4,5,4],[4,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(4,5)=4,(1,4)=13,(0,6)=18,(1,3)=19,(0,3)=23,(2,6)=25,(2,4)=32,(2,3)=40,(0,2)=48,(4,6)=48,(0,5)=52,(1,5)=59,(2,5)=63,(3,6)=69,(0,1)=74,(1,2)=84,(3,5)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(4)=3, Find(5)=5, Add (4,5)=4 Succeeded, w=8\",\"Find(1)=1, Find(4)=3, Add (1,4)=13 Succeeded, w=21\",\"Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=39\",\"Find(1)=3, Find(3)=3, Add (1,3)=19 Failed, w=39\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=62\",\"Find(2)=2, Find(6)=0, Add (2,6)=25 Succeeded, w=87\",\"Find(2)=0, Find(4)=0, Add (2,4)=32 Failed, w=87\",\"Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=87\",\"Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=87\",\"Find(4)=0, Find(6)=0, Add (4,6)=48 Failed, w=87\",\"Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=87\",\"Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=87\",\"Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=87\",\"Find(3)=0, Find(6)=0, Add (3,6)=69 Failed, w=87\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=87\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=87\",\"Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,48],[0,3,23],[0,5,52],[0,6,18],[1,2,84],[1,3,19],[1,4,13],[1,5,59],[2,3,40],[2,4,32],[2,5,63],[2,6,25],[3,4,4],[3,5,96],[3,6,69],[4,5,4],[4,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(4,5)=4,(1,4)=13,(0,6)=18,(1,3)=19,(0,3)=23,(2,6)=25,(2,4)=32,(2,3)=40,(0,2)=48,(4,6)=48,(0,5)=52,(1,5)=59,(2,5)=63,(3,6)=69,(0,1)=74,(1,2)=84,(3,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=5, Add (4,5)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=1, Find(4)=3, Add (1,4)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=39\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0}, Find(1)=3, Find(3)=3, Add (1,3)=19 Failed, w=39\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 0, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=62\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=25 Succeeded, w=87\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=32 Failed, w=87\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=87\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=87\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=48 Failed, w=87\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=69 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,93],[0,3,7],[1,2,69],[1,3,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,7],[1,2,69],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,7],[1,2,69],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,7],[1,2,69],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (1,3)=36, w=43\",\"Add (1,2)=69, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,7],[1,2,69],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (1,3)=36 Succeeded, w=43\",\"Add (1,2)=69 Succeeded, w=112\",\"Add (0,2)=93 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,7],[1,2,69],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,3)=36,(1,2)=69,(0,2)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=0, Add (1,3)=36 Succeeded, w=43\",\"Find(1)=0, Find(2)=2, Add (1,2)=69 Succeeded, w=112\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,93],[0,3,7],[1,2,69],[1,3,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,3)=36,(1,2)=69,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=36 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=69 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,58],[0,2,37],[0,3,97],[0,4,50],[1,2,5],[1,3,38],[1,4,12],[2,3,44],[2,4,6],[3,4,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,37],[0,3,97],[0,4,50],[1,2,5],[1,3,38],[1,4,12],[2,3,44],[2,4,6],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,37],[0,3,97],[0,4,50],[1,2,5],[1,3,38],[1,4,12],[2,3,44],[2,4,6],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,37],[0,3,97],[0,4,50],[1,2,5],[1,3,38],[1,4,12],[2,3,44],[2,4,6],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (2,4)=6, w=11\",\"Add (0,2)=37, w=48\",\"Add (1,3)=38, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,37],[0,3,97],[0,4,50],[1,2,5],[1,3,38],[1,4,12],[2,3,44],[2,4,6],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (2,4)=6 Succeeded, w=11\",\"Add (1,4)=12 Failed, w=11\",\"Add (0,2)=37 Succeeded, w=48\",\"Add (1,3)=38 Succeeded, w=86\",\"Add (3,4)=38 Failed, w=86\",\"Add (2,3)=44 Failed, w=86\",\"Add (0,4)=50 Failed, w=86\",\"Add (0,1)=58 Failed, w=86\",\"Add (0,3)=97 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,37],[0,3,97],[0,4,50],[1,2,5],[1,3,38],[1,4,12],[2,3,44],[2,4,6],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,4)=6,(1,4)=12,(0,2)=37,(1,3)=38,(3,4)=38,(2,3)=44,(0,4)=50,(0,1)=58,(0,3)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(2)=1, Find(4)=4, Add (2,4)=6 Succeeded, w=11\",\"Find(1)=1, Find(4)=1, Add (1,4)=12 Failed, w=11\",\"Find(0)=0, Find(2)=1, Add (0,2)=37 Succeeded, w=48\",\"Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=86\",\"Find(3)=1, Find(4)=1, Add (3,4)=38 Failed, w=86\",\"Find(2)=1, Find(3)=1, Add (2,3)=44 Failed, w=86\",\"Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=86\",\"Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=86\",\"Find(0)=1, Find(3)=1, Add (0,3)=97 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,37],[0,3,97],[0,4,50],[1,2,5],[1,3,38],[1,4,12],[2,3,44],[2,4,6],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,4)=6,(1,4)=12,(0,2)=37,(1,3)=38,(3,4)=38,(2,3)=44,(0,4)=50,(0,1)=58,(0,3)=97]\",\"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: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=12 Failed, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=37 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=38 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=44 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=97 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,91],[0,2,49],[0,3,34],[0,4,71],[1,2,76],[1,3,84],[1,4,32],[2,3,26],[2,4,98],[3,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,49],[0,3,34],[0,4,71],[1,2,76],[1,3,84],[1,4,32],[2,3,26],[2,4,98],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,49],[0,3,34],[0,4,71],[1,2,76],[1,3,84],[1,4,32],[2,3,26],[2,4,98],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,49],[0,3,34],[0,4,71],[1,2,76],[1,3,84],[1,4,32],[2,3,26],[2,4,98],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26, w=26\",\"Add (1,4)=32, w=58\",\"Add (0,3)=34, w=92\",\"Add (3,4)=58, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,49],[0,3,34],[0,4,71],[1,2,76],[1,3,84],[1,4,32],[2,3,26],[2,4,98],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26 Succeeded, w=26\",\"Add (1,4)=32 Succeeded, w=58\",\"Add (0,3)=34 Succeeded, w=92\",\"Add (0,2)=49 Failed, w=92\",\"Add (3,4)=58 Succeeded, w=150\",\"Add (0,4)=71 Failed, w=150\",\"Add (1,2)=76 Failed, w=150\",\"Add (1,3)=84 Failed, w=150\",\"Add (0,1)=91 Failed, w=150\",\"Add (2,4)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,49],[0,3,34],[0,4,71],[1,2,76],[1,3,84],[1,4,32],[2,3,26],[2,4,98],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(1,4)=32,(0,3)=34,(0,2)=49,(3,4)=58,(0,4)=71,(1,2)=76,(1,3)=84,(0,1)=91,(2,4)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Find(1)=1, Find(4)=4, Add (1,4)=32 Succeeded, w=58\",\"Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=92\",\"Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=92\",\"Find(3)=2, Find(4)=1, Add (3,4)=58 Succeeded, w=150\",\"Find(0)=2, Find(4)=2, Add (0,4)=71 Failed, w=150\",\"Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=150\",\"Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=150\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=150\",\"Find(2)=2, Find(4)=2, Add (2,4)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,49],[0,3,34],[0,4,71],[1,2,76],[1,3,84],[1,4,32],[2,3,26],[2,4,98],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(1,4)=32,(0,3)=34,(0,2)=49,(3,4)=58,(0,4)=71,(1,2)=76,(1,3)=84,(0,1)=91,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=32 Succeeded, w=58\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=92\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(3)=2, Find(4)=1, Add (3,4)=58 Succeeded, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=71 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,41],[0,3,15],[0,4,68],[0,6,85],[0,7,61],[1,2,66],[1,3,45],[1,4,41],[1,5,64],[1,6,67],[1,7,31],[2,3,29],[2,4,2],[2,5,51],[2,6,61],[2,7,51],[3,4,13],[3,5,38],[3,6,4],[3,7,32],[4,5,82],[4,6,30],[5,6,76],[5,7,68],[6,7,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,41],[0,3,15],[0,4,68],[0,6,85],[0,7,61],[1,2,66],[1,3,45],[1,4,41],[1,5,64],[1,6,67],[1,7,31],[2,3,29],[2,4,2],[2,5,51],[2,6,61],[2,7,51],[3,4,13],[3,5,38],[3,6,4],[3,7,32],[4,5,82],[4,6,30],[5,6,76],[5,7,68],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,41],[0,3,15],[0,4,68],[0,6,85],[0,7,61],[1,2,66],[1,3,45],[1,4,41],[1,5,64],[1,6,67],[1,7,31],[2,3,29],[2,4,2],[2,5,51],[2,6,61],[2,7,51],[3,4,13],[3,5,38],[3,6,4],[3,7,32],[4,5,82],[4,6,30],[5,6,76],[5,7,68],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,7)\",\"Add (3,5)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,41],[0,3,15],[0,4,68],[0,6,85],[0,7,61],[1,2,66],[1,3,45],[1,4,41],[1,5,64],[1,6,67],[1,7,31],[2,3,29],[2,4,2],[2,5,51],[2,6,61],[2,7,51],[3,4,13],[3,5,38],[3,6,4],[3,7,32],[4,5,82],[4,6,30],[5,6,76],[5,7,68],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,1)=4, w=6\",\"Add (3,6)=4, w=10\",\"Add (3,4)=13, w=23\",\"Add (0,3)=15, w=38\",\"Add (1,7)=31, w=69\",\"Add (3,5)=38, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,41],[0,3,15],[0,4,68],[0,6,85],[0,7,61],[1,2,66],[1,3,45],[1,4,41],[1,5,64],[1,6,67],[1,7,31],[2,3,29],[2,4,2],[2,5,51],[2,6,61],[2,7,51],[3,4,13],[3,5,38],[3,6,4],[3,7,32],[4,5,82],[4,6,30],[5,6,76],[5,7,68],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,1)=4 Succeeded, w=6\",\"Add (3,6)=4 Succeeded, w=10\",\"Add (3,4)=13 Succeeded, w=23\",\"Add (0,3)=15 Succeeded, w=38\",\"Add (2,3)=29 Failed, w=38\",\"Add (4,6)=30 Failed, w=38\",\"Add (1,7)=31 Succeeded, w=69\",\"Add (3,7)=32 Failed, w=69\",\"Add (3,5)=38 Succeeded, w=107\",\"Add (0,2)=41 Failed, w=107\",\"Add (1,4)=41 Failed, w=107\",\"Add (1,3)=45 Failed, w=107\",\"Add (2,5)=51 Failed, w=107\",\"Add (2,7)=51 Failed, w=107\",\"Add (0,7)=61 Failed, w=107\",\"Add (2,6)=61 Failed, w=107\",\"Add (1,5)=64 Failed, w=107\",\"Add (1,2)=66 Failed, w=107\",\"Add (1,6)=67 Failed, w=107\",\"Add (0,4)=68 Failed, w=107\",\"Add (5,7)=68 Failed, w=107\",\"Add (5,6)=76 Failed, w=107\",\"Add (4,5)=82 Failed, w=107\",\"Add (0,6)=85 Failed, w=107\",\"Add (6,7)=86 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,41],[0,3,15],[0,4,68],[0,6,85],[0,7,61],[1,2,66],[1,3,45],[1,4,41],[1,5,64],[1,6,67],[1,7,31],[2,3,29],[2,4,2],[2,5,51],[2,6,61],[2,7,51],[3,4,13],[3,5,38],[3,6,4],[3,7,32],[4,5,82],[4,6,30],[5,6,76],[5,7,68],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,1)=4,(3,6)=4,(3,4)=13,(0,3)=15,(2,3)=29,(4,6)=30,(1,7)=31,(3,7)=32,(3,5)=38,(0,2)=41,(1,4)=41,(1,3)=45,(2,5)=51,(2,7)=51,(0,7)=61,(2,6)=61,(1,5)=64,(1,2)=66,(1,6)=67,(0,4)=68,(5,7)=68,(5,6)=76,(4,5)=82,(0,6)=85,(6,7)=86]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=6\",\"Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=10\",\"Find(3)=3, Find(4)=2, Add (3,4)=13 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=38\",\"Find(2)=3, Find(3)=3, Add (2,3)=29 Failed, w=38\",\"Find(4)=3, Find(6)=3, Add (4,6)=30 Failed, w=38\",\"Find(1)=3, Find(7)=7, Add (1,7)=31 Succeeded, w=69\",\"Find(3)=3, Find(7)=3, Add (3,7)=32 Failed, w=69\",\"Find(3)=3, Find(5)=5, Add (3,5)=38 Succeeded, w=107\",\"Find(0)=3, Find(2)=3, Add (0,2)=41 Failed, w=107\",\"Find(1)=3, Find(4)=3, Add (1,4)=41 Failed, w=107\",\"Find(1)=3, Find(3)=3, Add (1,3)=45 Failed, w=107\",\"Find(2)=3, Find(5)=3, Add (2,5)=51 Failed, w=107\",\"Find(2)=3, Find(7)=3, Add (2,7)=51 Failed, w=107\",\"Find(0)=3, Find(7)=3, Add (0,7)=61 Failed, w=107\",\"Find(2)=3, Find(6)=3, Add (2,6)=61 Failed, w=107\",\"Find(1)=3, Find(5)=3, Add (1,5)=64 Failed, w=107\",\"Find(1)=3, Find(2)=3, Add (1,2)=66 Failed, w=107\",\"Find(1)=3, Find(6)=3, Add (1,6)=67 Failed, w=107\",\"Find(0)=3, Find(4)=3, Add (0,4)=68 Failed, w=107\",\"Find(5)=3, Find(7)=3, Add (5,7)=68 Failed, w=107\",\"Find(5)=3, Find(6)=3, Add (5,6)=76 Failed, w=107\",\"Find(4)=3, Find(5)=3, Add (4,5)=82 Failed, w=107\",\"Find(0)=3, Find(6)=3, Add (0,6)=85 Failed, w=107\",\"Find(6)=3, Find(7)=3, Add (6,7)=86 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,41],[0,3,15],[0,4,68],[0,6,85],[0,7,61],[1,2,66],[1,3,45],[1,4,41],[1,5,64],[1,6,67],[1,7,31],[2,3,29],[2,4,2],[2,5,51],[2,6,61],[2,7,51],[3,4,13],[3,5,38],[3,6,4],[3,7,32],[4,5,82],[4,6,30],[5,6,76],[5,7,68],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,1)=4,(3,6)=4,(3,4)=13,(0,3)=15,(2,3)=29,(4,6)=30,(1,7)=31,(3,7)=32,(3,5)=38,(0,2)=41,(1,4)=41,(1,3)=45,(2,5)=51,(2,7)=51,(0,7)=61,(2,6)=61,(1,5)=64,(1,2)=66,(1,6)=67,(0,4)=68,(5,7)=68,(5,6)=76,(4,5)=82,(0,6)=85,(6,7)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=4 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 2, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(4)=2, Add (3,4)=13 Succeeded, w=23\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 2, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=38\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 2, 5: 5, 6: 3, 7: 7}, Find(2)=3, Find(3)=3, Add (2,3)=29 Failed, w=38\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(4)=3, Find(6)=3, Add (4,6)=30 Failed, w=38\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(1)=3, Find(7)=7, Add (1,7)=31 Succeeded, w=69\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=32 Failed, w=69\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=5, Add (3,5)=38 Succeeded, w=107\",\"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)=41 Failed, w=107\",\"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)=41 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=45 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=51 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=51 Failed, w=107\",\"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)=61 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=61 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=64 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=66 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=67 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=68 Failed, w=107\",\"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)=68 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=76 Failed, w=107\",\"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)=82 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=85 Failed, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=86 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,26],[0,2,29],[0,3,65],[1,2,48],[1,3,42],[2,3,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,29],[0,3,65],[1,2,48],[1,3,42],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,29],[0,3,65],[1,2,48],[1,3,42],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,29],[0,3,65],[1,2,48],[1,3,42],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (0,1)=26, w=38\",\"Add (0,2)=29, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,29],[0,3,65],[1,2,48],[1,3,42],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (0,1)=26 Succeeded, w=38\",\"Add (0,2)=29 Succeeded, w=67\",\"Add (1,3)=42 Failed, w=67\",\"Add (1,2)=48 Failed, w=67\",\"Add (0,3)=65 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,29],[0,3,65],[1,2,48],[1,3,42],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,1)=26,(0,2)=29,(1,3)=42,(1,2)=48,(0,3)=65]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=38\",\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=67\",\"Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=67\",\"Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=67\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,29],[0,3,65],[1,2,48],[1,3,42],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,1)=26,(0,2)=29,(1,3)=42,(1,2)=48,(0,3)=65]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,2,3],[0,3,42],[0,4,87],[0,5,85],[0,6,23],[0,7,95],[1,2,68],[1,3,88],[1,4,58],[1,5,97],[1,6,93],[1,7,20],[2,3,63],[2,4,1],[2,6,54],[2,7,66],[3,4,63],[3,5,27],[3,7,60],[4,5,63],[4,7,76],[5,6,37],[6,7,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,3],[0,3,42],[0,4,87],[0,5,85],[0,6,23],[0,7,95],[1,2,68],[1,3,88],[1,4,58],[1,5,97],[1,6,93],[1,7,20],[2,3,63],[2,4,1],[2,6,54],[2,7,66],[3,4,63],[3,5,27],[3,7,60],[4,5,63],[4,7,76],[5,6,37],[6,7,97]]}",
"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\":[[0,1,56],[0,2,3],[0,3,42],[0,4,87],[0,5,85],[0,6,23],[0,7,95],[1,2,68],[1,3,88],[1,4,58],[1,5,97],[1,6,93],[1,7,20],[2,3,63],[2,4,1],[2,6,54],[2,7,66],[3,4,63],[3,5,27],[3,7,60],[4,5,63],[4,7,76],[5,6,37],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (1,7)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (5,6)\",\"Add (0,1)\"],\"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\":[[0,1,56],[0,2,3],[0,3,42],[0,4,87],[0,5,85],[0,6,23],[0,7,95],[1,2,68],[1,3,88],[1,4,58],[1,5,97],[1,6,93],[1,7,20],[2,3,63],[2,4,1],[2,6,54],[2,7,66],[3,4,63],[3,5,27],[3,7,60],[4,5,63],[4,7,76],[5,6,37],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (0,2)=3, w=4\",\"Add (1,7)=20, w=24\",\"Add (0,6)=23, w=47\",\"Add (3,5)=27, w=74\",\"Add (5,6)=37, w=111\",\"Add (0,1)=56, 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\":[[0,1,56],[0,2,3],[0,3,42],[0,4,87],[0,5,85],[0,6,23],[0,7,95],[1,2,68],[1,3,88],[1,4,58],[1,5,97],[1,6,93],[1,7,20],[2,3,63],[2,4,1],[2,6,54],[2,7,66],[3,4,63],[3,5,27],[3,7,60],[4,5,63],[4,7,76],[5,6,37],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,2)=3 Succeeded, w=4\",\"Add (1,7)=20 Succeeded, w=24\",\"Add (0,6)=23 Succeeded, w=47\",\"Add (3,5)=27 Succeeded, w=74\",\"Add (5,6)=37 Succeeded, w=111\",\"Add (0,3)=42 Failed, w=111\",\"Add (2,6)=54 Failed, w=111\",\"Add (0,1)=56 Succeeded, w=167\",\"Add (1,4)=58 Failed, w=167\",\"Add (3,7)=60 Failed, w=167\",\"Add (2,3)=63 Failed, w=167\",\"Add (3,4)=63 Failed, w=167\",\"Add (4,5)=63 Failed, w=167\",\"Add (2,7)=66 Failed, w=167\",\"Add (1,2)=68 Failed, w=167\",\"Add (4,7)=76 Failed, w=167\",\"Add (0,5)=85 Failed, w=167\",\"Add (0,4)=87 Failed, w=167\",\"Add (1,3)=88 Failed, w=167\",\"Add (1,6)=93 Failed, w=167\",\"Add (0,7)=95 Failed, w=167\",\"Add (1,5)=97 Failed, w=167\",\"Add (6,7)=97 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\":[[0,1,56],[0,2,3],[0,3,42],[0,4,87],[0,5,85],[0,6,23],[0,7,95],[1,2,68],[1,3,88],[1,4,58],[1,5,97],[1,6,93],[1,7,20],[2,3,63],[2,4,1],[2,6,54],[2,7,66],[3,4,63],[3,5,27],[3,7,60],[4,5,63],[4,7,76],[5,6,37],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,2)=3,(1,7)=20,(0,6)=23,(3,5)=27,(5,6)=37,(0,3)=42,(2,6)=54,(0,1)=56,(1,4)=58,(3,7)=60,(2,3)=63,(3,4)=63,(4,5)=63,(2,7)=66,(1,2)=68,(4,7)=76,(0,5)=85,(0,4)=87,(1,3)=88,(1,6)=93,(0,7)=95,(1,5)=97,(6,7)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=4\",\"Find(1)=1, Find(7)=7, Add (1,7)=20 Succeeded, w=24\",\"Find(0)=2, Find(6)=6, Add (0,6)=23 Succeeded, w=47\",\"Find(3)=3, Find(5)=5, Add (3,5)=27 Succeeded, w=74\",\"Find(5)=3, Find(6)=2, Add (5,6)=37 Succeeded, w=111\",\"Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=111\",\"Find(2)=3, Find(6)=3, Add (2,6)=54 Failed, w=111\",\"Find(0)=3, Find(1)=1, Add (0,1)=56 Succeeded, w=167\",\"Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=167\",\"Find(3)=3, Find(7)=3, Add (3,7)=60 Failed, w=167\",\"Find(2)=3, Find(3)=3, Add (2,3)=63 Failed, w=167\",\"Find(3)=3, Find(4)=3, Add (3,4)=63 Failed, w=167\",\"Find(4)=3, Find(5)=3, Add (4,5)=63 Failed, w=167\",\"Find(2)=3, Find(7)=3, Add (2,7)=66 Failed, w=167\",\"Find(1)=3, Find(2)=3, Add (1,2)=68 Failed, w=167\",\"Find(4)=3, Find(7)=3, Add (4,7)=76 Failed, w=167\",\"Find(0)=3, Find(5)=3, Add (0,5)=85 Failed, w=167\",\"Find(0)=3, Find(4)=3, Add (0,4)=87 Failed, w=167\",\"Find(1)=3, Find(3)=3, Add (1,3)=88 Failed, w=167\",\"Find(1)=3, Find(6)=3, Add (1,6)=93 Failed, w=167\",\"Find(0)=3, Find(7)=3, Add (0,7)=95 Failed, w=167\",\"Find(1)=3, Find(5)=3, Add (1,5)=97 Failed, w=167\",\"Find(6)=3, Find(7)=3, Add (6,7)=97 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\":[[0,1,56],[0,2,3],[0,3,42],[0,4,87],[0,5,85],[0,6,23],[0,7,95],[1,2,68],[1,3,88],[1,4,58],[1,5,97],[1,6,93],[1,7,20],[2,3,63],[2,4,1],[2,6,54],[2,7,66],[3,4,63],[3,5,27],[3,7,60],[4,5,63],[4,7,76],[5,6,37],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,2)=3,(1,7)=20,(0,6)=23,(3,5)=27,(5,6)=37,(0,3)=42,(2,6)=54,(0,1)=56,(1,4)=58,(3,7)=60,(2,3)=63,(3,4)=63,(4,5)=63,(2,7)=66,(1,2)=68,(4,7)=76,(0,5)=85,(0,4)=87,(1,3)=88,(1,6)=93,(0,7)=95,(1,5)=97,(6,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=20 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 1}, Find(0)=2, Find(6)=6, Add (0,6)=23 Succeeded, w=47\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 2, 7: 1}, Find(3)=3, Find(5)=5, Add (3,5)=27 Succeeded, w=74\",\"Parent: {0: 2, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3, 6: 2, 7: 1}, Find(5)=3, Find(6)=2, Add (5,6)=37 Succeeded, w=111\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3, 6: 2, 7: 1}, Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=111\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 1}, Find(2)=3, Find(6)=3, Add (2,6)=54 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3, 7: 1}, Find(0)=3, Find(1)=1, Add (0,1)=56 Succeeded, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 1}, Find(1)=3, Find(4)=3, Add (1,4)=58 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=60 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=63 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=63 Failed, w=167\",\"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)=63 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=66 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=68 Failed, w=167\",\"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)=76 Failed, w=167\",\"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)=85 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=87 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=88 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=93 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=95 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=97 Failed, w=167\",\"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)=97 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,35],[0,2,96],[0,4,72],[0,5,80],[0,6,15],[0,7,41],[1,2,21],[1,3,81],[1,4,39],[1,6,26],[2,3,31],[2,4,27],[2,5,74],[2,6,97],[2,7,15],[3,6,96],[4,5,27],[4,6,35],[5,6,64],[5,7,83],[6,7,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,96],[0,4,72],[0,5,80],[0,6,15],[0,7,41],[1,2,21],[1,3,81],[1,4,39],[1,6,26],[2,3,31],[2,4,27],[2,5,74],[2,6,97],[2,7,15],[3,6,96],[4,5,27],[4,6,35],[5,6,64],[5,7,83],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,96],[0,4,72],[0,5,80],[0,6,15],[0,7,41],[1,2,21],[1,3,81],[1,4,39],[1,6,26],[2,3,31],[2,4,27],[2,5,74],[2,6,97],[2,7,15],[3,6,96],[4,5,27],[4,6,35],[5,6,64],[5,7,83],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,7)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (2,3)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,96],[0,4,72],[0,5,80],[0,6,15],[0,7,41],[1,2,21],[1,3,81],[1,4,39],[1,6,26],[2,3,31],[2,4,27],[2,5,74],[2,6,97],[2,7,15],[3,6,96],[4,5,27],[4,6,35],[5,6,64],[5,7,83],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=15, w=15\",\"Add (2,7)=15, w=30\",\"Add (1,2)=21, w=51\",\"Add (1,6)=26, w=77\",\"Add (2,4)=27, w=104\",\"Add (4,5)=27, w=131\",\"Add (2,3)=31, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,96],[0,4,72],[0,5,80],[0,6,15],[0,7,41],[1,2,21],[1,3,81],[1,4,39],[1,6,26],[2,3,31],[2,4,27],[2,5,74],[2,6,97],[2,7,15],[3,6,96],[4,5,27],[4,6,35],[5,6,64],[5,7,83],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=15 Succeeded, w=15\",\"Add (2,7)=15 Succeeded, w=30\",\"Add (1,2)=21 Succeeded, w=51\",\"Add (1,6)=26 Succeeded, w=77\",\"Add (2,4)=27 Succeeded, w=104\",\"Add (4,5)=27 Succeeded, w=131\",\"Add (2,3)=31 Succeeded, w=162\",\"Add (0,1)=35 Failed, w=162\",\"Add (4,6)=35 Failed, w=162\",\"Add (1,4)=39 Failed, w=162\",\"Add (0,7)=41 Failed, w=162\",\"Add (5,6)=64 Failed, w=162\",\"Add (0,4)=72 Failed, w=162\",\"Add (2,5)=74 Failed, w=162\",\"Add (6,7)=74 Failed, w=162\",\"Add (0,5)=80 Failed, w=162\",\"Add (1,3)=81 Failed, w=162\",\"Add (5,7)=83 Failed, w=162\",\"Add (0,2)=96 Failed, w=162\",\"Add (3,6)=96 Failed, w=162\",\"Add (2,6)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,96],[0,4,72],[0,5,80],[0,6,15],[0,7,41],[1,2,21],[1,3,81],[1,4,39],[1,6,26],[2,3,31],[2,4,27],[2,5,74],[2,6,97],[2,7,15],[3,6,96],[4,5,27],[4,6,35],[5,6,64],[5,7,83],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=15,(2,7)=15,(1,2)=21,(1,6)=26,(2,4)=27,(4,5)=27,(2,3)=31,(0,1)=35,(4,6)=35,(1,4)=39,(0,7)=41,(5,6)=64,(0,4)=72,(2,5)=74,(6,7)=74,(0,5)=80,(1,3)=81,(5,7)=83,(0,2)=96,(3,6)=96,(2,6)=97]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=15\",\"Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=30\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=51\",\"Find(1)=2, Find(6)=0, Add (1,6)=26 Succeeded, w=77\",\"Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=104\",\"Find(4)=2, Find(5)=5, Add (4,5)=27 Succeeded, w=131\",\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=162\",\"Find(0)=2, Find(1)=2, Add (0,1)=35 Failed, w=162\",\"Find(4)=2, Find(6)=2, Add (4,6)=35 Failed, w=162\",\"Find(1)=2, Find(4)=2, Add (1,4)=39 Failed, w=162\",\"Find(0)=2, Find(7)=2, Add (0,7)=41 Failed, w=162\",\"Find(5)=2, Find(6)=2, Add (5,6)=64 Failed, w=162\",\"Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=162\",\"Find(2)=2, Find(5)=2, Add (2,5)=74 Failed, w=162\",\"Find(6)=2, Find(7)=2, Add (6,7)=74 Failed, w=162\",\"Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=162\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=162\",\"Find(5)=2, Find(7)=2, Add (5,7)=83 Failed, w=162\",\"Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=162\",\"Find(3)=2, Find(6)=2, Add (3,6)=96 Failed, w=162\",\"Find(2)=2, Find(6)=2, Add (2,6)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,96],[0,4,72],[0,5,80],[0,6,15],[0,7,41],[1,2,21],[1,3,81],[1,4,39],[1,6,26],[2,3,31],[2,4,27],[2,5,74],[2,6,97],[2,7,15],[3,6,96],[4,5,27],[4,6,35],[5,6,64],[5,7,83],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=15,(2,7)=15,(1,2)=21,(1,6)=26,(2,4)=27,(4,5)=27,(2,3)=31,(0,1)=35,(4,6)=35,(1,4)=39,(0,7)=41,(5,6)=64,(0,4)=72,(2,5)=74,(6,7)=74,(0,5)=80,(1,3)=81,(5,7)=83,(0,2)=96,(3,6)=96,(2,6)=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)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=15 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 2}, Find(1)=2, Find(6)=0, Add (1,6)=26 Succeeded, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 0, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=27 Succeeded, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0, 7: 2}, Find(4)=2, Find(5)=5, Add (4,5)=27 Succeeded, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=35 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=35 Failed, w=162\",\"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)=39 Failed, w=162\",\"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)=41 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=64 Failed, w=162\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=162\",\"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)=74 Failed, w=162\",\"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)=74 Failed, w=162\",\"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)=80 Failed, w=162\",\"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)=81 Failed, w=162\",\"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)=83 Failed, w=162\",\"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)=96 Failed, w=162\",\"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)=96 Failed, w=162\",\"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)=97 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,39],[0,2,12],[0,3,39],[0,4,20],[0,5,29],[0,6,72],[1,2,26],[1,3,60],[1,4,66],[1,5,65],[1,6,42],[2,3,6],[2,4,33],[2,5,66],[2,6,5],[3,4,1],[4,5,16],[4,6,1],[5,6,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,12],[0,3,39],[0,4,20],[0,5,29],[0,6,72],[1,2,26],[1,3,60],[1,4,66],[1,5,65],[1,6,42],[2,3,6],[2,4,33],[2,5,66],[2,6,5],[3,4,1],[4,5,16],[4,6,1],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,12],[0,3,39],[0,4,20],[0,5,29],[0,6,72],[1,2,26],[1,3,60],[1,4,66],[1,5,65],[1,6,42],[2,3,6],[2,4,33],[2,5,66],[2,6,5],[3,4,1],[4,5,16],[4,6,1],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,12],[0,3,39],[0,4,20],[0,5,29],[0,6,72],[1,2,26],[1,3,60],[1,4,66],[1,5,65],[1,6,42],[2,3,6],[2,4,33],[2,5,66],[2,6,5],[3,4,1],[4,5,16],[4,6,1],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (4,6)=1, w=2\",\"Add (5,6)=2, w=4\",\"Add (2,6)=5, w=9\",\"Add (0,2)=12, w=21\",\"Add (1,2)=26, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,12],[0,3,39],[0,4,20],[0,5,29],[0,6,72],[1,2,26],[1,3,60],[1,4,66],[1,5,65],[1,6,42],[2,3,6],[2,4,33],[2,5,66],[2,6,5],[3,4,1],[4,5,16],[4,6,1],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (4,6)=1 Succeeded, w=2\",\"Add (5,6)=2 Succeeded, w=4\",\"Add (2,6)=5 Succeeded, w=9\",\"Add (2,3)=6 Failed, w=9\",\"Add (0,2)=12 Succeeded, w=21\",\"Add (4,5)=16 Failed, w=21\",\"Add (0,4)=20 Failed, w=21\",\"Add (1,2)=26 Succeeded, w=47\",\"Add (0,5)=29 Failed, w=47\",\"Add (2,4)=33 Failed, w=47\",\"Add (0,1)=39 Failed, w=47\",\"Add (0,3)=39 Failed, w=47\",\"Add (1,6)=42 Failed, w=47\",\"Add (1,3)=60 Failed, w=47\",\"Add (1,5)=65 Failed, w=47\",\"Add (1,4)=66 Failed, w=47\",\"Add (2,5)=66 Failed, w=47\",\"Add (0,6)=72 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,12],[0,3,39],[0,4,20],[0,5,29],[0,6,72],[1,2,26],[1,3,60],[1,4,66],[1,5,65],[1,6,42],[2,3,6],[2,4,33],[2,5,66],[2,6,5],[3,4,1],[4,5,16],[4,6,1],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(4,6)=1,(5,6)=2,(2,6)=5,(2,3)=6,(0,2)=12,(4,5)=16,(0,4)=20,(1,2)=26,(0,5)=29,(2,4)=33,(0,1)=39,(0,3)=39,(1,6)=42,(1,3)=60,(1,5)=65,(1,4)=66,(2,5)=66,(0,6)=72]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(4)=3, Find(6)=6, Add (4,6)=1 Succeeded, w=2\",\"Find(5)=5, Find(6)=3, Add (5,6)=2 Succeeded, w=4\",\"Find(2)=2, Find(6)=3, Add (2,6)=5 Succeeded, w=9\",\"Find(2)=3, Find(3)=3, Add (2,3)=6 Failed, w=9\",\"Find(0)=0, Find(2)=3, Add (0,2)=12 Succeeded, w=21\",\"Find(4)=3, Find(5)=3, Add (4,5)=16 Failed, w=21\",\"Find(0)=3, Find(4)=3, Add (0,4)=20 Failed, w=21\",\"Find(1)=1, Find(2)=3, Add (1,2)=26 Succeeded, w=47\",\"Find(0)=3, Find(5)=3, Add (0,5)=29 Failed, w=47\",\"Find(2)=3, Find(4)=3, Add (2,4)=33 Failed, w=47\",\"Find(0)=3, Find(1)=3, Add (0,1)=39 Failed, w=47\",\"Find(0)=3, Find(3)=3, Add (0,3)=39 Failed, w=47\",\"Find(1)=3, Find(6)=3, Add (1,6)=42 Failed, w=47\",\"Find(1)=3, Find(3)=3, Add (1,3)=60 Failed, w=47\",\"Find(1)=3, Find(5)=3, Add (1,5)=65 Failed, w=47\",\"Find(1)=3, Find(4)=3, Add (1,4)=66 Failed, w=47\",\"Find(2)=3, Find(5)=3, Add (2,5)=66 Failed, w=47\",\"Find(0)=3, Find(6)=3, Add (0,6)=72 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,39],[0,2,12],[0,3,39],[0,4,20],[0,5,29],[0,6,72],[1,2,26],[1,3,60],[1,4,66],[1,5,65],[1,6,42],[2,3,6],[2,4,33],[2,5,66],[2,6,5],[3,4,1],[4,5,16],[4,6,1],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(4,6)=1,(5,6)=2,(2,6)=5,(2,3)=6,(0,2)=12,(4,5)=16,(0,4)=20,(1,2)=26,(0,5)=29,(2,4)=33,(0,1)=39,(0,3)=39,(1,6)=42,(1,3)=60,(1,5)=65,(1,4)=66,(2,5)=66,(0,6)=72]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=6, Add (4,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=6 Failed, w=9\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(2)=3, Add (0,2)=12 Succeeded, w=21\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=16 Failed, w=21\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=20 Failed, w=21\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(2)=3, Add (1,2)=26 Succeeded, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=29 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=33 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=39 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=39 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=42 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=60 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=65 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=66 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=66 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=72 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,47],[0,2,52],[0,3,48],[0,4,44],[0,5,46],[1,2,90],[1,4,11],[1,6,75],[1,7,84],[2,5,71],[3,6,1],[3,7,72],[4,5,57],[4,6,17],[5,6,25],[5,7,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,52],[0,3,48],[0,4,44],[0,5,46],[1,2,90],[1,4,11],[1,6,75],[1,7,84],[2,5,71],[3,6,1],[3,7,72],[4,5,57],[4,6,17],[5,6,25],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,52],[0,3,48],[0,4,44],[0,5,46],[1,2,90],[1,4,11],[1,6,75],[1,7,84],[2,5,71],[3,6,1],[3,7,72],[4,5,57],[4,6,17],[5,6,25],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,4)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (5,7)\",\"Add (0,2)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,52],[0,3,48],[0,4,44],[0,5,46],[1,2,90],[1,4,11],[1,6,75],[1,7,84],[2,5,71],[3,6,1],[3,7,72],[4,5,57],[4,6,17],[5,6,25],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (1,4)=11, w=12\",\"Add (4,6)=17, w=29\",\"Add (5,6)=25, w=54\",\"Add (0,4)=44, w=98\",\"Add (5,7)=50, w=148\",\"Add (0,2)=52, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,52],[0,3,48],[0,4,44],[0,5,46],[1,2,90],[1,4,11],[1,6,75],[1,7,84],[2,5,71],[3,6,1],[3,7,72],[4,5,57],[4,6,17],[5,6,25],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (1,4)=11 Succeeded, w=12\",\"Add (4,6)=17 Succeeded, w=29\",\"Add (5,6)=25 Succeeded, w=54\",\"Add (0,4)=44 Succeeded, w=98\",\"Add (0,5)=46 Failed, w=98\",\"Add (0,1)=47 Failed, w=98\",\"Add (0,3)=48 Failed, w=98\",\"Add (5,7)=50 Succeeded, w=148\",\"Add (0,2)=52 Succeeded, w=200\",\"Add (4,5)=57 Failed, w=200\",\"Add (2,5)=71 Failed, w=200\",\"Add (3,7)=72 Failed, w=200\",\"Add (1,6)=75 Failed, w=200\",\"Add (1,7)=84 Failed, w=200\",\"Add (1,2)=90 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,52],[0,3,48],[0,4,44],[0,5,46],[1,2,90],[1,4,11],[1,6,75],[1,7,84],[2,5,71],[3,6,1],[3,7,72],[4,5,57],[4,6,17],[5,6,25],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(1,4)=11,(4,6)=17,(5,6)=25,(0,4)=44,(0,5)=46,(0,1)=47,(0,3)=48,(5,7)=50,(0,2)=52,(4,5)=57,(2,5)=71,(3,7)=72,(1,6)=75,(1,7)=84,(1,2)=90]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=12\",\"Find(4)=1, Find(6)=3, Add (4,6)=17 Succeeded, w=29\",\"Find(5)=5, Find(6)=1, Add (5,6)=25 Succeeded, w=54\",\"Find(0)=0, Find(4)=1, Add (0,4)=44 Succeeded, w=98\",\"Find(0)=1, Find(5)=1, Add (0,5)=46 Failed, w=98\",\"Find(0)=1, Find(1)=1, Add (0,1)=47 Failed, w=98\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=98\",\"Find(5)=1, Find(7)=7, Add (5,7)=50 Succeeded, w=148\",\"Find(0)=1, Find(2)=2, Add (0,2)=52 Succeeded, w=200\",\"Find(4)=1, Find(5)=1, Add (4,5)=57 Failed, w=200\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=200\",\"Find(3)=1, Find(7)=1, Add (3,7)=72 Failed, w=200\",\"Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=200\",\"Find(1)=1, Find(7)=1, Add (1,7)=84 Failed, w=200\",\"Find(1)=1, Find(2)=1, Add (1,2)=90 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,52],[0,3,48],[0,4,44],[0,5,46],[1,2,90],[1,4,11],[1,6,75],[1,7,84],[2,5,71],[3,6,1],[3,7,72],[4,5,57],[4,6,17],[5,6,25],[5,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(1,4)=11,(4,6)=17,(5,6)=25,(0,4)=44,(0,5)=46,(0,1)=47,(0,3)=48,(5,7)=50,(0,2)=52,(4,5)=57,(2,5)=71,(3,7)=72,(1,6)=75,(1,7)=84,(1,2)=90]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 3, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 3, 7: 7}, Find(4)=1, Find(6)=3, Add (4,6)=17 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(5)=5, Find(6)=1, Add (5,6)=25 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=0, Find(4)=1, Add (0,4)=44 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(5)=1, Add (0,5)=46 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(1)=1, Add (0,1)=47 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=50 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=52 Succeeded, w=200\",\"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)=57 Failed, w=200\",\"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)=71 Failed, w=200\",\"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)=72 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=84 Failed, w=200\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=90 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,67],[0,2,0],[0,3,17],[1,2,11],[1,3,76],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,0],[0,3,17],[1,2,11],[1,3,76],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,0],[0,3,17],[1,2,11],[1,3,76],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,0],[0,3,17],[1,2,11],[1,3,76],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (1,2)=11, w=11\",\"Add (2,3)=11, w=22\"],\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,0],[0,3,17],[1,2,11],[1,3,76],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (1,2)=11 Succeeded, w=11\",\"Add (2,3)=11 Succeeded, w=22\",\"Add (0,3)=17 Failed, w=22\",\"Add (0,1)=67 Failed, w=22\",\"Add (1,3)=76 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,0],[0,3,17],[1,2,11],[1,3,76],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,2)=11,(2,3)=11,(0,3)=17,(0,1)=67,(1,3)=76]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=11\",\"Find(2)=0, Find(3)=3, Add (2,3)=11 Succeeded, w=22\",\"Find(0)=0, Find(3)=0, Add (0,3)=17 Failed, w=22\",\"Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=22\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,0],[0,3,17],[1,2,11],[1,3,76],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,2)=11,(2,3)=11,(0,3)=17,(0,1)=67,(1,3)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=17 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=22\"],\"Answer\":22}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,94],[0,2,38],[0,3,21],[0,4,41],[0,5,71],[0,6,15],[1,3,94],[1,4,24],[1,5,93],[1,6,24],[2,3,49],[2,4,63],[2,5,72],[2,6,100],[3,4,7],[3,5,91],[3,6,56],[4,5,96],[4,6,12],[5,6,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,38],[0,3,21],[0,4,41],[0,5,71],[0,6,15],[1,3,94],[1,4,24],[1,5,93],[1,6,24],[2,3,49],[2,4,63],[2,5,72],[2,6,100],[3,4,7],[3,5,91],[3,6,56],[4,5,96],[4,6,12],[5,6,25]]}",
"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],\"edges\":[[0,1,94],[0,2,38],[0,3,21],[0,4,41],[0,5,71],[0,6,15],[1,3,94],[1,4,24],[1,5,93],[1,6,24],[2,3,49],[2,4,63],[2,5,72],[2,6,100],[3,4,7],[3,5,91],[3,6,56],[4,5,96],[4,6,12],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (1,4)\",\"Add (5,6)\",\"Add (0,2)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,38],[0,3,21],[0,4,41],[0,5,71],[0,6,15],[1,3,94],[1,4,24],[1,5,93],[1,6,24],[2,3,49],[2,4,63],[2,5,72],[2,6,100],[3,4,7],[3,5,91],[3,6,56],[4,5,96],[4,6,12],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7, w=7\",\"Add (4,6)=12, w=19\",\"Add (0,6)=15, w=34\",\"Add (1,4)=24, w=58\",\"Add (5,6)=25, w=83\",\"Add (0,2)=38, 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],\"edges\":[[0,1,94],[0,2,38],[0,3,21],[0,4,41],[0,5,71],[0,6,15],[1,3,94],[1,4,24],[1,5,93],[1,6,24],[2,3,49],[2,4,63],[2,5,72],[2,6,100],[3,4,7],[3,5,91],[3,6,56],[4,5,96],[4,6,12],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7 Succeeded, w=7\",\"Add (4,6)=12 Succeeded, w=19\",\"Add (0,6)=15 Succeeded, w=34\",\"Add (0,3)=21 Failed, w=34\",\"Add (1,4)=24 Succeeded, w=58\",\"Add (1,6)=24 Failed, w=58\",\"Add (5,6)=25 Succeeded, w=83\",\"Add (0,2)=38 Succeeded, w=121\",\"Add (0,4)=41 Failed, w=121\",\"Add (2,3)=49 Failed, w=121\",\"Add (3,6)=56 Failed, w=121\",\"Add (2,4)=63 Failed, w=121\",\"Add (0,5)=71 Failed, w=121\",\"Add (2,5)=72 Failed, w=121\",\"Add (3,5)=91 Failed, w=121\",\"Add (1,5)=93 Failed, w=121\",\"Add (0,1)=94 Failed, w=121\",\"Add (1,3)=94 Failed, w=121\",\"Add (4,5)=96 Failed, w=121\",\"Add (2,6)=100 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],\"edges\":[[0,1,94],[0,2,38],[0,3,21],[0,4,41],[0,5,71],[0,6,15],[1,3,94],[1,4,24],[1,5,93],[1,6,24],[2,3,49],[2,4,63],[2,5,72],[2,6,100],[3,4,7],[3,5,91],[3,6,56],[4,5,96],[4,6,12],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(4,6)=12,(0,6)=15,(0,3)=21,(1,4)=24,(1,6)=24,(5,6)=25,(0,2)=38,(0,4)=41,(2,3)=49,(3,6)=56,(2,4)=63,(0,5)=71,(2,5)=72,(3,5)=91,(1,5)=93,(0,1)=94,(1,3)=94,(4,5)=96,(2,6)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=7\",\"Find(4)=3, Find(6)=6, Add (4,6)=12 Succeeded, w=19\",\"Find(0)=0, Find(6)=3, Add (0,6)=15 Succeeded, w=34\",\"Find(0)=3, Find(3)=3, Add (0,3)=21 Failed, w=34\",\"Find(1)=1, Find(4)=3, Add (1,4)=24 Succeeded, w=58\",\"Find(1)=3, Find(6)=3, Add (1,6)=24 Failed, w=58\",\"Find(5)=5, Find(6)=3, Add (5,6)=25 Succeeded, w=83\",\"Find(0)=3, Find(2)=2, Add (0,2)=38 Succeeded, w=121\",\"Find(0)=3, Find(4)=3, Add (0,4)=41 Failed, w=121\",\"Find(2)=3, Find(3)=3, Add (2,3)=49 Failed, w=121\",\"Find(3)=3, Find(6)=3, Add (3,6)=56 Failed, w=121\",\"Find(2)=3, Find(4)=3, Add (2,4)=63 Failed, w=121\",\"Find(0)=3, Find(5)=3, Add (0,5)=71 Failed, w=121\",\"Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=121\",\"Find(3)=3, Find(5)=3, Add (3,5)=91 Failed, w=121\",\"Find(1)=3, Find(5)=3, Add (1,5)=93 Failed, w=121\",\"Find(0)=3, Find(1)=3, Add (0,1)=94 Failed, w=121\",\"Find(1)=3, Find(3)=3, Add (1,3)=94 Failed, w=121\",\"Find(4)=3, Find(5)=3, Add (4,5)=96 Failed, w=121\",\"Find(2)=3, Find(6)=3, Add (2,6)=100 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],\"edges\":[[0,1,94],[0,2,38],[0,3,21],[0,4,41],[0,5,71],[0,6,15],[1,3,94],[1,4,24],[1,5,93],[1,6,24],[2,3,49],[2,4,63],[2,5,72],[2,6,100],[3,4,7],[3,5,91],[3,6,56],[4,5,96],[4,6,12],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(4,6)=12,(0,6)=15,(0,3)=21,(1,4)=24,(1,6)=24,(5,6)=25,(0,2)=38,(0,4)=41,(2,3)=49,(3,6)=56,(2,4)=63,(0,5)=71,(2,5)=72,(3,5)=91,(1,5)=93,(0,1)=94,(1,3)=94,(4,5)=96,(2,6)=100]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=6, Add (4,6)=12 Succeeded, w=19\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=15 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=21 Failed, w=34\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=1, Find(4)=3, Add (1,4)=24 Succeeded, w=58\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=24 Failed, w=58\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=25 Succeeded, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=2, Add (0,2)=38 Succeeded, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=41 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=49 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=56 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=63 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=71 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=91 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=93 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=94 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=94 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=96 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,28],[0,2,84],[0,3,18],[0,4,27],[1,2,90],[1,3,93],[1,4,32],[2,3,27],[2,4,76],[3,4,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,84],[0,3,18],[0,4,27],[1,2,90],[1,3,93],[1,4,32],[2,3,27],[2,4,76],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,84],[0,3,18],[0,4,27],[1,2,90],[1,3,93],[1,4,32],[2,3,27],[2,4,76],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,84],[0,3,18],[0,4,27],[1,2,90],[1,3,93],[1,4,32],[2,3,27],[2,4,76],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (0,3)=18, w=20\",\"Add (2,3)=27, w=47\",\"Add (0,1)=28, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,84],[0,3,18],[0,4,27],[1,2,90],[1,3,93],[1,4,32],[2,3,27],[2,4,76],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,3)=18 Succeeded, w=20\",\"Add (0,4)=27 Failed, w=20\",\"Add (2,3)=27 Succeeded, w=47\",\"Add (0,1)=28 Succeeded, w=75\",\"Add (1,4)=32 Failed, w=75\",\"Add (2,4)=76 Failed, w=75\",\"Add (0,2)=84 Failed, w=75\",\"Add (1,2)=90 Failed, w=75\",\"Add (1,3)=93 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,84],[0,3,18],[0,4,27],[1,2,90],[1,3,93],[1,4,32],[2,3,27],[2,4,76],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,3)=18,(0,4)=27,(2,3)=27,(0,1)=28,(1,4)=32,(2,4)=76,(0,2)=84,(1,2)=90,(1,3)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=20\",\"Find(0)=3, Find(4)=3, Add (0,4)=27 Failed, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=47\",\"Find(0)=3, Find(1)=1, Add (0,1)=28 Succeeded, w=75\",\"Find(1)=3, Find(4)=3, Add (1,4)=32 Failed, w=75\",\"Find(2)=3, Find(4)=3, Add (2,4)=76 Failed, w=75\",\"Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=75\",\"Find(1)=3, Find(2)=3, Add (1,2)=90 Failed, w=75\",\"Find(1)=3, Find(3)=3, Add (1,3)=93 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,84],[0,3,18],[0,4,27],[1,2,90],[1,3,93],[1,4,32],[2,3,27],[2,4,76],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(0,3)=18,(0,4)=27,(2,3)=27,(0,1)=28,(1,4)=32,(2,4)=76,(0,2)=84,(1,2)=90,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=20\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=27 Failed, w=20\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=28 Succeeded, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=32 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=76 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=90 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=93 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,2,30],[0,4,12],[1,3,5],[1,4,17],[2,4,6],[3,4,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,30],[0,4,12],[1,3,5],[1,4,17],[2,4,6],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,30],[0,4,12],[1,3,5],[1,4,17],[2,4,6],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,30],[0,4,12],[1,3,5],[1,4,17],[2,4,6],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (1,3)=5, w=7\",\"Add (2,4)=6, w=13\",\"Add (0,4)=12, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,30],[0,4,12],[1,3,5],[1,4,17],[2,4,6],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (1,3)=5 Succeeded, w=7\",\"Add (2,4)=6 Succeeded, w=13\",\"Add (0,4)=12 Succeeded, w=25\",\"Add (1,4)=17 Failed, w=25\",\"Add (0,2)=30 Failed, w=25\",\"Add (3,4)=92 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,30],[0,4,12],[1,3,5],[1,4,17],[2,4,6],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,3)=5,(2,4)=6,(0,4)=12,(1,4)=17,(0,2)=30,(3,4)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(1)=0, Find(3)=3, Add (1,3)=5 Succeeded, w=7\",\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=13\",\"Find(0)=0, Find(4)=2, Add (0,4)=12 Succeeded, w=25\",\"Find(1)=0, Find(4)=0, Add (1,4)=17 Failed, w=25\",\"Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=25\",\"Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,30],[0,4,12],[1,3,5],[1,4,17],[2,4,6],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,3)=5,(2,4)=6,(0,4)=12,(1,4)=17,(0,2)=30,(3,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=12 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=17 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=92 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,61],[0,2,2],[0,3,11],[1,3,71],[2,3,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,2],[0,3,11],[1,3,71],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,2],[0,3,11],[1,3,71],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,2],[0,3,11],[1,3,71],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (0,3)=11, w=13\",\"Add (0,1)=61, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,2],[0,3,11],[1,3,71],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (0,3)=11 Succeeded, w=13\",\"Add (2,3)=49 Failed, w=13\",\"Add (0,1)=61 Succeeded, w=74\",\"Add (1,3)=71 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,2],[0,3,11],[1,3,71],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,3)=11,(2,3)=49,(0,1)=61,(1,3)=71]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=13\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=74\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,2],[0,3,11],[1,3,71],[2,3,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,3)=11,(2,3)=49,(0,1)=61,(1,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,43],[0,3,51],[0,4,69],[0,5,33],[0,6,11],[0,7,24],[1,2,11],[1,3,54],[1,4,61],[1,5,21],[1,6,4],[1,7,41],[2,3,27],[2,4,34],[2,5,18],[2,6,41],[3,4,13],[3,5,86],[3,6,89],[3,7,74],[4,5,32],[4,6,5],[5,7,36],[6,7,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,51],[0,4,69],[0,5,33],[0,6,11],[0,7,24],[1,2,11],[1,3,54],[1,4,61],[1,5,21],[1,6,4],[1,7,41],[2,3,27],[2,4,34],[2,5,18],[2,6,41],[3,4,13],[3,5,86],[3,6,89],[3,7,74],[4,5,32],[4,6,5],[5,7,36],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,51],[0,4,69],[0,5,33],[0,6,11],[0,7,24],[1,2,11],[1,3,54],[1,4,61],[1,5,21],[1,6,4],[1,7,41],[2,3,27],[2,4,34],[2,5,18],[2,6,41],[3,4,13],[3,5,86],[3,6,89],[3,7,74],[4,5,32],[4,6,5],[5,7,36],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (0,7)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,51],[0,4,69],[0,5,33],[0,6,11],[0,7,24],[1,2,11],[1,3,54],[1,4,61],[1,5,21],[1,6,4],[1,7,41],[2,3,27],[2,4,34],[2,5,18],[2,6,41],[3,4,13],[3,5,86],[3,6,89],[3,7,74],[4,5,32],[4,6,5],[5,7,36],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4, w=4\",\"Add (4,6)=5, w=9\",\"Add (0,6)=11, w=20\",\"Add (1,2)=11, w=31\",\"Add (3,4)=13, w=44\",\"Add (2,5)=18, w=62\",\"Add (0,7)=24, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,51],[0,4,69],[0,5,33],[0,6,11],[0,7,24],[1,2,11],[1,3,54],[1,4,61],[1,5,21],[1,6,4],[1,7,41],[2,3,27],[2,4,34],[2,5,18],[2,6,41],[3,4,13],[3,5,86],[3,6,89],[3,7,74],[4,5,32],[4,6,5],[5,7,36],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=4 Succeeded, w=4\",\"Add (4,6)=5 Succeeded, w=9\",\"Add (0,6)=11 Succeeded, w=20\",\"Add (1,2)=11 Succeeded, w=31\",\"Add (3,4)=13 Succeeded, w=44\",\"Add (2,5)=18 Succeeded, w=62\",\"Add (1,5)=21 Failed, w=62\",\"Add (0,7)=24 Succeeded, w=86\",\"Add (2,3)=27 Failed, w=86\",\"Add (4,5)=32 Failed, w=86\",\"Add (0,5)=33 Failed, w=86\",\"Add (2,4)=34 Failed, w=86\",\"Add (5,7)=36 Failed, w=86\",\"Add (6,7)=38 Failed, w=86\",\"Add (1,7)=41 Failed, w=86\",\"Add (2,6)=41 Failed, w=86\",\"Add (0,2)=43 Failed, w=86\",\"Add (0,3)=51 Failed, w=86\",\"Add (1,3)=54 Failed, w=86\",\"Add (1,4)=61 Failed, w=86\",\"Add (0,4)=69 Failed, w=86\",\"Add (3,7)=74 Failed, w=86\",\"Add (3,5)=86 Failed, w=86\",\"Add (3,6)=89 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,51],[0,4,69],[0,5,33],[0,6,11],[0,7,24],[1,2,11],[1,3,54],[1,4,61],[1,5,21],[1,6,4],[1,7,41],[2,3,27],[2,4,34],[2,5,18],[2,6,41],[3,4,13],[3,5,86],[3,6,89],[3,7,74],[4,5,32],[4,6,5],[5,7,36],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(4,6)=5,(0,6)=11,(1,2)=11,(3,4)=13,(2,5)=18,(1,5)=21,(0,7)=24,(2,3)=27,(4,5)=32,(0,5)=33,(2,4)=34,(5,7)=36,(6,7)=38,(1,7)=41,(2,6)=41,(0,2)=43,(0,3)=51,(1,3)=54,(1,4)=61,(0,4)=69,(3,7)=74,(3,5)=86,(3,6)=89]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=4 Succeeded, w=4\",\"Find(4)=4, Find(6)=1, Add (4,6)=5 Succeeded, w=9\",\"Find(0)=0, Find(6)=1, Add (0,6)=11 Succeeded, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=31\",\"Find(3)=3, Find(4)=1, Add (3,4)=13 Succeeded, w=44\",\"Find(2)=1, Find(5)=5, Add (2,5)=18 Succeeded, w=62\",\"Find(1)=1, Find(5)=1, Add (1,5)=21 Failed, w=62\",\"Find(0)=1, Find(7)=7, Add (0,7)=24 Succeeded, w=86\",\"Find(2)=1, Find(3)=1, Add (2,3)=27 Failed, w=86\",\"Find(4)=1, Find(5)=1, Add (4,5)=32 Failed, w=86\",\"Find(0)=1, Find(5)=1, Add (0,5)=33 Failed, w=86\",\"Find(2)=1, Find(4)=1, Add (2,4)=34 Failed, w=86\",\"Find(5)=1, Find(7)=1, Add (5,7)=36 Failed, w=86\",\"Find(6)=1, Find(7)=1, Add (6,7)=38 Failed, w=86\",\"Find(1)=1, Find(7)=1, Add (1,7)=41 Failed, w=86\",\"Find(2)=1, Find(6)=1, Add (2,6)=41 Failed, w=86\",\"Find(0)=1, Find(2)=1, Add (0,2)=43 Failed, w=86\",\"Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=86\",\"Find(1)=1, Find(3)=1, Add (1,3)=54 Failed, w=86\",\"Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=86\",\"Find(0)=1, Find(4)=1, Add (0,4)=69 Failed, w=86\",\"Find(3)=1, Find(7)=1, Add (3,7)=74 Failed, w=86\",\"Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=86\",\"Find(3)=1, Find(6)=1, Add (3,6)=89 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,51],[0,4,69],[0,5,33],[0,6,11],[0,7,24],[1,2,11],[1,3,54],[1,4,61],[1,5,21],[1,6,4],[1,7,41],[2,3,27],[2,4,34],[2,5,18],[2,6,41],[3,4,13],[3,5,86],[3,6,89],[3,7,74],[4,5,32],[4,6,5],[5,7,36],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=4,(4,6)=5,(0,6)=11,(1,2)=11,(3,4)=13,(2,5)=18,(1,5)=21,(0,7)=24,(2,3)=27,(4,5)=32,(0,5)=33,(2,4)=34,(5,7)=36,(6,7)=38,(1,7)=41,(2,6)=41,(0,2)=43,(0,3)=51,(1,3)=54,(1,4)=61,(0,4)=69,(3,7)=74,(3,5)=86,(3,6)=89]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=4, Find(6)=1, Add (4,6)=5 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(6)=1, Add (0,6)=11 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(3)=3, Find(4)=1, Add (3,4)=13 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(5)=5, Add (2,5)=18 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(5)=1, Add (1,5)=21 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=7, Add (0,7)=24 Succeeded, w=86\",\"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)=27 Failed, w=86\",\"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)=32 Failed, w=86\",\"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)=33 Failed, w=86\",\"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)=34 Failed, w=86\",\"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)=36 Failed, w=86\",\"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)=38 Failed, w=86\",\"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)=41 Failed, w=86\",\"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)=41 Failed, w=86\",\"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)=43 Failed, w=86\",\"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)=51 Failed, w=86\",\"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)=54 Failed, w=86\",\"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)=61 Failed, w=86\",\"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)=69 Failed, w=86\",\"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)=74 Failed, w=86\",\"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)=86 Failed, w=86\",\"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)=89 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,96],[0,3,100],[0,4,83],[1,2,13],[1,3,79],[1,4,99],[2,3,92],[2,4,10],[3,4,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,100],[0,4,83],[1,2,13],[1,3,79],[1,4,99],[2,3,92],[2,4,10],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,100],[0,4,83],[1,2,13],[1,3,79],[1,4,99],[2,3,92],[2,4,10],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,100],[0,4,83],[1,2,13],[1,3,79],[1,4,99],[2,3,92],[2,4,10],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (1,2)=13, w=23\",\"Add (1,3)=79, w=102\",\"Add (0,4)=83, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,100],[0,4,83],[1,2,13],[1,3,79],[1,4,99],[2,3,92],[2,4,10],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (1,2)=13 Succeeded, w=23\",\"Add (1,3)=79 Succeeded, w=102\",\"Add (0,4)=83 Succeeded, w=185\",\"Add (3,4)=83 Failed, w=185\",\"Add (2,3)=92 Failed, w=185\",\"Add (0,1)=96 Failed, w=185\",\"Add (1,4)=99 Failed, w=185\",\"Add (0,3)=100 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,100],[0,4,83],[1,2,13],[1,3,79],[1,4,99],[2,3,92],[2,4,10],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(1,2)=13,(1,3)=79,(0,4)=83,(3,4)=83,(2,3)=92,(0,1)=96,(1,4)=99,(0,3)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=23\",\"Find(1)=2, Find(3)=3, Add (1,3)=79 Succeeded, w=102\",\"Find(0)=0, Find(4)=2, Add (0,4)=83 Succeeded, w=185\",\"Find(3)=2, Find(4)=2, Add (3,4)=83 Failed, w=185\",\"Find(2)=2, Find(3)=2, Add (2,3)=92 Failed, w=185\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=185\",\"Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=185\",\"Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,96],[0,3,100],[0,4,83],[1,2,13],[1,3,79],[1,4,99],[2,3,92],[2,4,10],[3,4,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(1,2)=13,(1,3)=79,(0,4)=83,(3,4)=83,(2,3)=92,(0,1)=96,(1,4)=99,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=79 Succeeded, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=83 Succeeded, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=83 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=92 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
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