graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
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| messages_l5
listlengths 2
2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,99],[0,2,2],[0,3,9],[0,6,22],[1,2,56],[1,3,99],[1,4,83],[1,5,72],[1,6,77],[2,4,40],[2,5,72],[3,4,10],[3,5,52],[3,6,47],[4,5,93],[4,6,70],[5,6,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,2,2],[0,3,9],[0,6,22],[1,2,56],[1,3,99],[1,4,83],[1,5,72],[1,6,77],[2,4,40],[2,5,72],[3,4,10],[3,5,52],[3,6,47],[4,5,93],[4,6,70],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,2,2],[0,3,9],[0,6,22],[1,2,56],[1,3,99],[1,4,83],[1,5,72],[1,6,77],[2,4,40],[2,5,72],[3,4,10],[3,5,52],[3,6,47],[4,5,93],[4,6,70],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (1,2)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,2,2],[0,3,9],[0,6,22],[1,2,56],[1,3,99],[1,4,83],[1,5,72],[1,6,77],[2,4,40],[2,5,72],[3,4,10],[3,5,52],[3,6,47],[4,5,93],[4,6,70],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (0,3)=9, w=11\",\"Add (3,4)=10, w=21\",\"Add (0,6)=22, w=43\",\"Add (3,5)=52, w=95\",\"Add (1,2)=56, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,2,2],[0,3,9],[0,6,22],[1,2,56],[1,3,99],[1,4,83],[1,5,72],[1,6,77],[2,4,40],[2,5,72],[3,4,10],[3,5,52],[3,6,47],[4,5,93],[4,6,70],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (0,3)=9 Succeeded, w=11\",\"Add (3,4)=10 Succeeded, w=21\",\"Add (0,6)=22 Succeeded, w=43\",\"Add (2,4)=40 Failed, w=43\",\"Add (3,6)=47 Failed, w=43\",\"Add (3,5)=52 Succeeded, w=95\",\"Add (1,2)=56 Succeeded, w=151\",\"Add (4,6)=70 Failed, w=151\",\"Add (1,5)=72 Failed, w=151\",\"Add (2,5)=72 Failed, w=151\",\"Add (5,6)=73 Failed, w=151\",\"Add (1,6)=77 Failed, w=151\",\"Add (1,4)=83 Failed, w=151\",\"Add (4,5)=93 Failed, w=151\",\"Add (0,1)=99 Failed, w=151\",\"Add (1,3)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,2,2],[0,3,9],[0,6,22],[1,2,56],[1,3,99],[1,4,83],[1,5,72],[1,6,77],[2,4,40],[2,5,72],[3,4,10],[3,5,52],[3,6,47],[4,5,93],[4,6,70],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,3)=9,(3,4)=10,(0,6)=22,(2,4)=40,(3,6)=47,(3,5)=52,(1,2)=56,(4,6)=70,(1,5)=72,(2,5)=72,(5,6)=73,(1,6)=77,(1,4)=83,(4,5)=93,(0,1)=99,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=11\",\"Find(3)=0, Find(4)=4, Add (3,4)=10 Succeeded, w=21\",\"Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=43\",\"Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=43\",\"Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=43\",\"Find(3)=0, Find(5)=5, Add (3,5)=52 Succeeded, w=95\",\"Find(1)=1, Find(2)=0, Add (1,2)=56 Succeeded, w=151\",\"Find(4)=0, Find(6)=0, Add (4,6)=70 Failed, w=151\",\"Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=151\",\"Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=151\",\"Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=151\",\"Find(1)=0, Find(6)=0, Add (1,6)=77 Failed, w=151\",\"Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=151\",\"Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=151\",\"Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,99],[0,2,2],[0,3,9],[0,6,22],[1,2,56],[1,3,99],[1,4,83],[1,5,72],[1,6,77],[2,4,40],[2,5,72],[3,4,10],[3,5,52],[3,6,47],[4,5,93],[4,6,70],[5,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,3)=9,(3,4)=10,(0,6)=22,(2,4)=40,(3,6)=47,(3,5)=52,(1,2)=56,(4,6)=70,(1,5)=72,(2,5)=72,(5,6)=73,(1,6)=77,(1,4)=83,(4,5)=93,(0,1)=99,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=0, Find(4)=4, Add (3,4)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=5, Add (3,5)=52 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=56 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=70 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=73 Failed, w=151\",\"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=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,24],[0,3,40],[0,4,8],[0,5,71],[0,7,86],[1,3,9],[1,5,36],[1,7,49],[2,4,2],[2,6,50],[2,7,43],[3,6,33],[3,7,92],[4,5,12],[4,6,14],[4,7,56],[5,6,78],[5,7,88],[6,7,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,40],[0,4,8],[0,5,71],[0,7,86],[1,3,9],[1,5,36],[1,7,49],[2,4,2],[2,6,50],[2,7,43],[3,6,33],[3,7,92],[4,5,12],[4,6,14],[4,7,56],[5,6,78],[5,7,88],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,40],[0,4,8],[0,5,71],[0,7,86],[1,3,9],[1,5,36],[1,7,49],[2,4,2],[2,6,50],[2,7,43],[3,6,33],[3,7,92],[4,5,12],[4,6,14],[4,7,56],[5,6,78],[5,7,88],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (3,6)\",\"Add (2,7)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,40],[0,4,8],[0,5,71],[0,7,86],[1,3,9],[1,5,36],[1,7,49],[2,4,2],[2,6,50],[2,7,43],[3,6,33],[3,7,92],[4,5,12],[4,6,14],[4,7,56],[5,6,78],[5,7,88],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,4)=8, w=10\",\"Add (1,3)=9, w=19\",\"Add (4,5)=12, w=31\",\"Add (4,6)=14, w=45\",\"Add (3,6)=33, w=78\",\"Add (2,7)=43, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,40],[0,4,8],[0,5,71],[0,7,86],[1,3,9],[1,5,36],[1,7,49],[2,4,2],[2,6,50],[2,7,43],[3,6,33],[3,7,92],[4,5,12],[4,6,14],[4,7,56],[5,6,78],[5,7,88],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,4)=8 Succeeded, w=10\",\"Add (1,3)=9 Succeeded, w=19\",\"Add (4,5)=12 Succeeded, w=31\",\"Add (4,6)=14 Succeeded, w=45\",\"Add (0,2)=24 Failed, w=45\",\"Add (3,6)=33 Succeeded, w=78\",\"Add (1,5)=36 Failed, w=78\",\"Add (0,3)=40 Failed, w=78\",\"Add (2,7)=43 Succeeded, w=121\",\"Add (1,7)=49 Failed, w=121\",\"Add (2,6)=50 Failed, w=121\",\"Add (4,7)=56 Failed, w=121\",\"Add (6,7)=67 Failed, w=121\",\"Add (0,5)=71 Failed, w=121\",\"Add (5,6)=78 Failed, w=121\",\"Add (0,7)=86 Failed, w=121\",\"Add (5,7)=88 Failed, w=121\",\"Add (3,7)=92 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,40],[0,4,8],[0,5,71],[0,7,86],[1,3,9],[1,5,36],[1,7,49],[2,4,2],[2,6,50],[2,7,43],[3,6,33],[3,7,92],[4,5,12],[4,6,14],[4,7,56],[5,6,78],[5,7,88],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=8,(1,3)=9,(4,5)=12,(4,6)=14,(0,2)=24,(3,6)=33,(1,5)=36,(0,3)=40,(2,7)=43,(1,7)=49,(2,6)=50,(4,7)=56,(6,7)=67,(0,5)=71,(5,6)=78,(0,7)=86,(5,7)=88,(3,7)=92]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=2, Add (0,4)=8 Succeeded, w=10\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=19\",\"Find(4)=2, Find(5)=5, Add (4,5)=12 Succeeded, w=31\",\"Find(4)=2, Find(6)=6, Add (4,6)=14 Succeeded, w=45\",\"Find(0)=2, Find(2)=2, Add (0,2)=24 Failed, w=45\",\"Find(3)=1, Find(6)=2, Add (3,6)=33 Succeeded, w=78\",\"Find(1)=1, Find(5)=1, Add (1,5)=36 Failed, w=78\",\"Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=78\",\"Find(2)=1, Find(7)=7, Add (2,7)=43 Succeeded, w=121\",\"Find(1)=1, Find(7)=1, Add (1,7)=49 Failed, w=121\",\"Find(2)=1, Find(6)=1, Add (2,6)=50 Failed, w=121\",\"Find(4)=1, Find(7)=1, Add (4,7)=56 Failed, w=121\",\"Find(6)=1, Find(7)=1, Add (6,7)=67 Failed, w=121\",\"Find(0)=1, Find(5)=1, Add (0,5)=71 Failed, w=121\",\"Find(5)=1, Find(6)=1, Add (5,6)=78 Failed, w=121\",\"Find(0)=1, Find(7)=1, Add (0,7)=86 Failed, w=121\",\"Find(5)=1, Find(7)=1, Add (5,7)=88 Failed, w=121\",\"Find(3)=1, Find(7)=1, Add (3,7)=92 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,24],[0,3,40],[0,4,8],[0,5,71],[0,7,86],[1,3,9],[1,5,36],[1,7,49],[2,4,2],[2,6,50],[2,7,43],[3,6,33],[3,7,92],[4,5,12],[4,6,14],[4,7,56],[5,6,78],[5,7,88],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=8,(1,3)=9,(4,5)=12,(4,6)=14,(0,2)=24,(3,6)=33,(1,5)=36,(0,3)=40,(2,7)=43,(1,7)=49,(2,6)=50,(4,7)=56,(6,7)=67,(0,5)=71,(5,6)=78,(0,7)=86,(5,7)=88,(3,7)=92]\",\"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: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=8 Succeeded, w=10\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 6, 7: 7}, Find(4)=2, Find(5)=5, Add (4,5)=12 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2, 7: 7}, Find(4)=2, Find(6)=6, Add (4,6)=14 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(2)=2, Add (0,2)=24 Failed, w=45\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 2, 7: 7}, Find(3)=1, Find(6)=2, Add (3,6)=33 Succeeded, w=78\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 2, 7: 7}, Find(1)=1, Find(5)=1, Add (1,5)=36 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 2, 7: 7}, Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 2, 7: 1}, Find(2)=1, Find(7)=7, Add (2,7)=43 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 2, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=49 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=50 Failed, w=121\",\"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)=56 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=67 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=71 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=78 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=86 Failed, w=121\",\"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)=88 Failed, w=121\",\"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)=92 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,19],[1,4,44],[3,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[1,4,44],[3,4,21]]}",
"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\":[[0,1,19],[1,4,44],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[1,4,44],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=19, w=19\",\"Add (3,4)=21, w=40\",\"Add (1,4)=44, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[1,4,44],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=19 Succeeded, w=19\",\"Add (3,4)=21 Succeeded, w=40\",\"Add (1,4)=44 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[1,4,44],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=19,(3,4)=21,(1,4)=44]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=40\",\"Find(1)=0, Find(4)=3, Add (1,4)=44 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[1,4,44],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=19,(3,4)=21,(1,4)=44]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(1)=0, Find(4)=3, Add (1,4)=44 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,35],[0,3,40],[0,4,32],[0,5,84],[0,6,56],[1,2,38],[1,4,44],[1,6,45],[2,5,2],[2,6,48],[3,6,66],[4,5,50],[4,6,86],[5,6,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,40],[0,4,32],[0,5,84],[0,6,56],[1,2,38],[1,4,44],[1,6,45],[2,5,2],[2,6,48],[3,6,66],[4,5,50],[4,6,86],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,40],[0,4,32],[0,5,84],[0,6,56],[1,2,38],[1,4,44],[1,6,45],[2,5,2],[2,6,48],[3,6,66],[4,5,50],[4,6,86],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (1,6)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,40],[0,4,32],[0,5,84],[0,6,56],[1,2,38],[1,4,44],[1,6,45],[2,5,2],[2,6,48],[3,6,66],[4,5,50],[4,6,86],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (0,4)=32, w=34\",\"Add (0,2)=35, w=69\",\"Add (1,2)=38, w=107\",\"Add (0,3)=40, w=147\",\"Add (1,6)=45, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,40],[0,4,32],[0,5,84],[0,6,56],[1,2,38],[1,4,44],[1,6,45],[2,5,2],[2,6,48],[3,6,66],[4,5,50],[4,6,86],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (0,4)=32 Succeeded, w=34\",\"Add (0,2)=35 Succeeded, w=69\",\"Add (1,2)=38 Succeeded, w=107\",\"Add (0,3)=40 Succeeded, w=147\",\"Add (1,4)=44 Failed, w=147\",\"Add (1,6)=45 Succeeded, w=192\",\"Add (2,6)=48 Failed, w=192\",\"Add (4,5)=50 Failed, w=192\",\"Add (0,6)=56 Failed, w=192\",\"Add (3,6)=66 Failed, w=192\",\"Add (0,5)=84 Failed, w=192\",\"Add (4,6)=86 Failed, w=192\",\"Add (5,6)=91 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,40],[0,4,32],[0,5,84],[0,6,56],[1,2,38],[1,4,44],[1,6,45],[2,5,2],[2,6,48],[3,6,66],[4,5,50],[4,6,86],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(0,4)=32,(0,2)=35,(1,2)=38,(0,3)=40,(1,4)=44,(1,6)=45,(2,6)=48,(4,5)=50,(0,6)=56,(3,6)=66,(0,5)=84,(4,6)=86,(5,6)=91]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=69\",\"Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=107\",\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=147\",\"Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=147\",\"Find(1)=0, Find(6)=6, Add (1,6)=45 Succeeded, w=192\",\"Find(2)=0, Find(6)=0, Add (2,6)=48 Failed, w=192\",\"Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=192\",\"Find(0)=0, Find(6)=0, Add (0,6)=56 Failed, w=192\",\"Find(3)=0, Find(6)=0, Add (3,6)=66 Failed, w=192\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=192\",\"Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=192\",\"Find(5)=0, Find(6)=0, Add (5,6)=91 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,35],[0,3,40],[0,4,32],[0,5,84],[0,6,56],[1,2,38],[1,4,44],[1,6,45],[2,5,2],[2,6,48],[3,6,66],[4,5,50],[4,6,86],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(0,4)=32,(0,2)=35,(1,2)=38,(0,3)=40,(1,4)=44,(1,6)=45,(2,6)=48,(4,5)=50,(0,6)=56,(3,6)=66,(0,5)=84,(4,6)=86,(5,6)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=45 Succeeded, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=48 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=56 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=66 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=91 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":1}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\"],\"Answer\":1}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\"],\"Answer\":1}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\"],\"Answer\":1}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\"],\"Answer\":1}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\"],\"Answer\":1}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,3],[0,3,17],[0,4,74],[1,2,9],[1,3,22],[1,4,44],[2,3,1],[2,4,17],[3,4,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,17],[0,4,74],[1,2,9],[1,3,22],[1,4,44],[2,3,1],[2,4,17],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,17],[0,4,74],[1,2,9],[1,3,22],[1,4,44],[2,3,1],[2,4,17],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,17],[0,4,74],[1,2,9],[1,3,22],[1,4,44],[2,3,1],[2,4,17],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,1)=3, w=4\",\"Add (1,2)=9, w=13\",\"Add (2,4)=17, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,17],[0,4,74],[1,2,9],[1,3,22],[1,4,44],[2,3,1],[2,4,17],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,1)=3 Succeeded, w=4\",\"Add (1,2)=9 Succeeded, w=13\",\"Add (0,3)=17 Failed, w=13\",\"Add (2,4)=17 Succeeded, w=30\",\"Add (1,3)=22 Failed, w=30\",\"Add (3,4)=39 Failed, w=30\",\"Add (1,4)=44 Failed, w=30\",\"Add (0,4)=74 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,17],[0,4,74],[1,2,9],[1,3,22],[1,4,44],[2,3,1],[2,4,17],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,1)=3,(1,2)=9,(0,3)=17,(2,4)=17,(1,3)=22,(3,4)=39,(1,4)=44,(0,4)=74]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=4\",\"Find(1)=0, Find(2)=2, Add (1,2)=9 Succeeded, w=13\",\"Find(0)=0, Find(3)=0, Add (0,3)=17 Failed, w=13\",\"Find(2)=0, Find(4)=4, Add (2,4)=17 Succeeded, w=30\",\"Find(1)=0, Find(3)=0, Add (1,3)=22 Failed, w=30\",\"Find(3)=0, Find(4)=0, Add (3,4)=39 Failed, w=30\",\"Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=30\",\"Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,3,17],[0,4,74],[1,2,9],[1,3,22],[1,4,44],[2,3,1],[2,4,17],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,1)=3,(1,2)=9,(0,3)=17,(2,4)=17,(1,3)=22,(3,4)=39,(1,4)=44,(0,4)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=17 Failed, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=22 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=39 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,26],[0,5,11],[0,6,35],[0,7,74],[1,2,90],[1,3,75],[1,5,65],[1,6,84],[2,3,40],[2,4,7],[2,5,59],[3,4,91],[3,6,39],[3,7,5],[4,5,91],[4,6,62],[4,7,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,5,11],[0,6,35],[0,7,74],[1,2,90],[1,3,75],[1,5,65],[1,6,84],[2,3,40],[2,4,7],[2,5,59],[3,4,91],[3,6,39],[3,7,5],[4,5,91],[4,6,62],[4,7,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,5,11],[0,6,35],[0,7,74],[1,2,90],[1,3,75],[1,5,65],[1,6,84],[2,3,40],[2,4,7],[2,5,59],[3,4,91],[3,6,39],[3,7,5],[4,5,91],[4,6,62],[4,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (4,7)\",\"Add (0,6)\",\"Add (1,5)\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,5,11],[0,6,35],[0,7,74],[1,2,90],[1,3,75],[1,5,65],[1,6,84],[2,3,40],[2,4,7],[2,5,59],[3,4,91],[3,6,39],[3,7,5],[4,5,91],[4,6,62],[4,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=5, w=5\",\"Add (2,4)=7, w=12\",\"Add (0,5)=11, w=23\",\"Add (0,2)=26, w=49\",\"Add (4,7)=31, w=80\",\"Add (0,6)=35, w=115\",\"Add (1,5)=65, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,5,11],[0,6,35],[0,7,74],[1,2,90],[1,3,75],[1,5,65],[1,6,84],[2,3,40],[2,4,7],[2,5,59],[3,4,91],[3,6,39],[3,7,5],[4,5,91],[4,6,62],[4,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=5 Succeeded, w=5\",\"Add (2,4)=7 Succeeded, w=12\",\"Add (0,5)=11 Succeeded, w=23\",\"Add (0,2)=26 Succeeded, w=49\",\"Add (4,7)=31 Succeeded, w=80\",\"Add (0,6)=35 Succeeded, w=115\",\"Add (3,6)=39 Failed, w=115\",\"Add (2,3)=40 Failed, w=115\",\"Add (2,5)=59 Failed, w=115\",\"Add (4,6)=62 Failed, w=115\",\"Add (1,5)=65 Succeeded, w=180\",\"Add (0,7)=74 Failed, w=180\",\"Add (1,3)=75 Failed, w=180\",\"Add (1,6)=84 Failed, w=180\",\"Add (1,2)=90 Failed, w=180\",\"Add (3,4)=91 Failed, w=180\",\"Add (4,5)=91 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,5,11],[0,6,35],[0,7,74],[1,2,90],[1,3,75],[1,5,65],[1,6,84],[2,3,40],[2,4,7],[2,5,59],[3,4,91],[3,6,39],[3,7,5],[4,5,91],[4,6,62],[4,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=5,(2,4)=7,(0,5)=11,(0,2)=26,(4,7)=31,(0,6)=35,(3,6)=39,(2,3)=40,(2,5)=59,(4,6)=62,(1,5)=65,(0,7)=74,(1,3)=75,(1,6)=84,(1,2)=90,(3,4)=91,(4,5)=91]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=12\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=49\",\"Find(4)=0, Find(7)=3, Add (4,7)=31 Succeeded, w=80\",\"Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=115\",\"Find(3)=0, Find(6)=0, Add (3,6)=39 Failed, w=115\",\"Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=115\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=115\",\"Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=115\",\"Find(1)=1, Find(5)=0, Add (1,5)=65 Succeeded, w=180\",\"Find(0)=0, Find(7)=0, Add (0,7)=74 Failed, w=180\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=180\",\"Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=180\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=180\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=180\",\"Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,26],[0,5,11],[0,6,35],[0,7,74],[1,2,90],[1,3,75],[1,5,65],[1,6,84],[2,3,40],[2,4,7],[2,5,59],[3,4,91],[3,6,39],[3,7,5],[4,5,91],[4,6,62],[4,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=5,(2,4)=7,(0,5)=11,(0,2)=26,(4,7)=31,(0,6)=35,(3,6)=39,(2,3)=40,(2,5)=59,(4,6)=62,(1,5)=65,(0,7)=74,(1,3)=75,(1,6)=84,(1,2)=90,(3,4)=91,(4,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 3}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 2, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(4)=0, Find(7)=3, Add (4,7)=31 Succeeded, w=80\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(6)=6, Add (0,6)=35 Succeeded, w=115\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(3)=0, Find(6)=0, Add (3,6)=39 Failed, w=115\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=115\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=115\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(4)=0, Find(6)=0, Add (4,6)=62 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(1)=1, Find(5)=0, Add (1,5)=65 Succeeded, w=180\",\"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)=74 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=180\",\"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)=84 Failed, w=180\",\"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)=90 Failed, w=180\",\"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)=91 Failed, w=180\",\"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)=91 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,100],[0,3,72],[0,6,95],[1,3,52],[1,6,21],[2,4,56],[2,6,83],[2,7,37],[3,5,5],[3,6,69],[3,7,47],[4,7,52],[5,6,67],[5,7,57],[6,7,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,3,72],[0,6,95],[1,3,52],[1,6,21],[2,4,56],[2,6,83],[2,7,37],[3,5,5],[3,6,69],[3,7,47],[4,7,52],[5,6,67],[5,7,57],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,3,72],[0,6,95],[1,3,52],[1,6,21],[2,4,56],[2,6,83],[2,7,37],[3,5,5],[3,6,69],[3,7,47],[4,7,52],[5,6,67],[5,7,57],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,6)\",\"Add (6,7)\",\"Add (2,7)\",\"Add (3,7)\",\"Add (4,7)\",\"Add (0,3)\"],\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,3,72],[0,6,95],[1,3,52],[1,6,21],[2,4,56],[2,6,83],[2,7,37],[3,5,5],[3,6,69],[3,7,47],[4,7,52],[5,6,67],[5,7,57],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5, w=5\",\"Add (1,6)=21, w=26\",\"Add (6,7)=36, w=62\",\"Add (2,7)=37, w=99\",\"Add (3,7)=47, w=146\",\"Add (4,7)=52, w=198\",\"Add (0,3)=72, w=270\"],\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,3,72],[0,6,95],[1,3,52],[1,6,21],[2,4,56],[2,6,83],[2,7,37],[3,5,5],[3,6,69],[3,7,47],[4,7,52],[5,6,67],[5,7,57],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5 Succeeded, w=5\",\"Add (1,6)=21 Succeeded, w=26\",\"Add (6,7)=36 Succeeded, w=62\",\"Add (2,7)=37 Succeeded, w=99\",\"Add (3,7)=47 Succeeded, w=146\",\"Add (1,3)=52 Failed, w=146\",\"Add (4,7)=52 Succeeded, w=198\",\"Add (2,4)=56 Failed, w=198\",\"Add (5,7)=57 Failed, w=198\",\"Add (5,6)=67 Failed, w=198\",\"Add (3,6)=69 Failed, w=198\",\"Add (0,3)=72 Succeeded, w=270\",\"Add (2,6)=83 Failed, w=270\",\"Add (0,6)=95 Failed, w=270\",\"Add (0,1)=100 Failed, w=270\"],\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,3,72],[0,6,95],[1,3,52],[1,6,21],[2,4,56],[2,6,83],[2,7,37],[3,5,5],[3,6,69],[3,7,47],[4,7,52],[5,6,67],[5,7,57],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(1,6)=21,(6,7)=36,(2,7)=37,(3,7)=47,(1,3)=52,(4,7)=52,(2,4)=56,(5,7)=57,(5,6)=67,(3,6)=69,(0,3)=72,(2,6)=83,(0,6)=95,(0,1)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(6)=6, Add (1,6)=21 Succeeded, w=26\",\"Find(6)=1, Find(7)=7, Add (6,7)=36 Succeeded, w=62\",\"Find(2)=2, Find(7)=1, Add (2,7)=37 Succeeded, w=99\",\"Find(3)=3, Find(7)=1, Add (3,7)=47 Succeeded, w=146\",\"Find(1)=3, Find(3)=3, Add (1,3)=52 Failed, w=146\",\"Find(4)=4, Find(7)=3, Add (4,7)=52 Succeeded, w=198\",\"Find(2)=3, Find(4)=3, Add (2,4)=56 Failed, w=198\",\"Find(5)=3, Find(7)=3, Add (5,7)=57 Failed, w=198\",\"Find(5)=3, Find(6)=3, Add (5,6)=67 Failed, w=198\",\"Find(3)=3, Find(6)=3, Add (3,6)=69 Failed, w=198\",\"Find(0)=0, Find(3)=3, Add (0,3)=72 Succeeded, w=270\",\"Find(2)=3, Find(6)=3, Add (2,6)=83 Failed, w=270\",\"Find(0)=3, Find(6)=3, Add (0,6)=95 Failed, w=270\",\"Find(0)=3, Find(1)=3, Add (0,1)=100 Failed, w=270\"],\"Answer\":270}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,3,72],[0,6,95],[1,3,52],[1,6,21],[2,4,56],[2,6,83],[2,7,37],[3,5,5],[3,6,69],[3,7,47],[4,7,52],[5,6,67],[5,7,57],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(1,6)=21,(6,7)=36,(2,7)=37,(3,7)=47,(1,3)=52,(4,7)=52,(2,4)=56,(5,7)=57,(5,6)=67,(3,6)=69,(0,3)=72,(2,6)=83,(0,6)=95,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=21 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1, 7: 1}, Find(6)=1, Find(7)=7, Add (6,7)=36 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=37 Succeeded, w=99\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=47 Succeeded, w=146\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1, 7: 1}, Find(1)=3, Find(3)=3, Add (1,3)=52 Failed, w=146\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=52 Succeeded, w=198\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=56 Failed, w=198\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=57 Failed, w=198\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=67 Failed, w=198\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=69 Failed, w=198\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=72 Succeeded, w=270\",\"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)=83 Failed, w=270\",\"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)=95 Failed, w=270\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=100 Failed, w=270\"],\"Answer\":270}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,9],[0,2,46],[0,3,72],[0,4,25],[0,5,18],[0,6,47],[0,7,58],[1,2,54],[1,3,13],[1,4,43],[1,5,98],[1,6,24],[1,7,29],[2,3,51],[2,4,24],[2,5,75],[2,6,93],[2,7,64],[3,4,91],[3,5,97],[3,6,16],[4,5,38],[4,6,93],[4,7,81],[5,6,4],[5,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,46],[0,3,72],[0,4,25],[0,5,18],[0,6,47],[0,7,58],[1,2,54],[1,3,13],[1,4,43],[1,5,98],[1,6,24],[1,7,29],[2,3,51],[2,4,24],[2,5,75],[2,6,93],[2,7,64],[3,4,91],[3,5,97],[3,6,16],[4,5,38],[4,6,93],[4,7,81],[5,6,4],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,46],[0,3,72],[0,4,25],[0,5,18],[0,6,47],[0,7,58],[1,2,54],[1,3,13],[1,4,43],[1,5,98],[1,6,24],[1,7,29],[2,3,51],[2,4,24],[2,5,75],[2,6,93],[2,7,64],[3,4,91],[3,5,97],[3,6,16],[4,5,38],[4,6,93],[4,7,81],[5,6,4],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,7)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,46],[0,3,72],[0,4,25],[0,5,18],[0,6,47],[0,7,58],[1,2,54],[1,3,13],[1,4,43],[1,5,98],[1,6,24],[1,7,29],[2,3,51],[2,4,24],[2,5,75],[2,6,93],[2,7,64],[3,4,91],[3,5,97],[3,6,16],[4,5,38],[4,6,93],[4,7,81],[5,6,4],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4, w=4\",\"Add (0,1)=9, w=13\",\"Add (1,3)=13, w=26\",\"Add (3,6)=16, w=42\",\"Add (2,4)=24, w=66\",\"Add (0,4)=25, w=91\",\"Add (1,7)=29, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,46],[0,3,72],[0,4,25],[0,5,18],[0,6,47],[0,7,58],[1,2,54],[1,3,13],[1,4,43],[1,5,98],[1,6,24],[1,7,29],[2,3,51],[2,4,24],[2,5,75],[2,6,93],[2,7,64],[3,4,91],[3,5,97],[3,6,16],[4,5,38],[4,6,93],[4,7,81],[5,6,4],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=4 Succeeded, w=4\",\"Add (0,1)=9 Succeeded, w=13\",\"Add (1,3)=13 Succeeded, w=26\",\"Add (3,6)=16 Succeeded, w=42\",\"Add (0,5)=18 Failed, w=42\",\"Add (1,6)=24 Failed, w=42\",\"Add (2,4)=24 Succeeded, w=66\",\"Add (0,4)=25 Succeeded, w=91\",\"Add (1,7)=29 Succeeded, w=120\",\"Add (4,5)=38 Failed, w=120\",\"Add (1,4)=43 Failed, w=120\",\"Add (0,2)=46 Failed, w=120\",\"Add (0,6)=47 Failed, w=120\",\"Add (2,3)=51 Failed, w=120\",\"Add (1,2)=54 Failed, w=120\",\"Add (0,7)=58 Failed, w=120\",\"Add (2,7)=64 Failed, w=120\",\"Add (0,3)=72 Failed, w=120\",\"Add (2,5)=75 Failed, w=120\",\"Add (4,7)=81 Failed, w=120\",\"Add (5,7)=87 Failed, w=120\",\"Add (3,4)=91 Failed, w=120\",\"Add (2,6)=93 Failed, w=120\",\"Add (4,6)=93 Failed, w=120\",\"Add (3,5)=97 Failed, w=120\",\"Add (1,5)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,46],[0,3,72],[0,4,25],[0,5,18],[0,6,47],[0,7,58],[1,2,54],[1,3,13],[1,4,43],[1,5,98],[1,6,24],[1,7,29],[2,3,51],[2,4,24],[2,5,75],[2,6,93],[2,7,64],[3,4,91],[3,5,97],[3,6,16],[4,5,38],[4,6,93],[4,7,81],[5,6,4],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(0,1)=9,(1,3)=13,(3,6)=16,(0,5)=18,(1,6)=24,(2,4)=24,(0,4)=25,(1,7)=29,(4,5)=38,(1,4)=43,(0,2)=46,(0,6)=47,(2,3)=51,(1,2)=54,(0,7)=58,(2,7)=64,(0,3)=72,(2,5)=75,(4,7)=81,(5,7)=87,(3,4)=91,(2,6)=93,(4,6)=93,(3,5)=97,(1,5)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=13\",\"Find(1)=0, Find(3)=3, Add (1,3)=13 Succeeded, w=26\",\"Find(3)=0, Find(6)=5, Add (3,6)=16 Succeeded, w=42\",\"Find(0)=0, Find(5)=0, Add (0,5)=18 Failed, w=42\",\"Find(1)=0, Find(6)=0, Add (1,6)=24 Failed, w=42\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=66\",\"Find(0)=0, Find(4)=2, Add (0,4)=25 Succeeded, w=91\",\"Find(1)=0, Find(7)=7, Add (1,7)=29 Succeeded, w=120\",\"Find(4)=0, Find(5)=0, Add (4,5)=38 Failed, w=120\",\"Find(1)=0, Find(4)=0, Add (1,4)=43 Failed, w=120\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=120\",\"Find(0)=0, Find(6)=0, Add (0,6)=47 Failed, w=120\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=120\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=120\",\"Find(0)=0, Find(7)=0, Add (0,7)=58 Failed, w=120\",\"Find(2)=0, Find(7)=0, Add (2,7)=64 Failed, w=120\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=120\",\"Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=120\",\"Find(4)=0, Find(7)=0, Add (4,7)=81 Failed, w=120\",\"Find(5)=0, Find(7)=0, Add (5,7)=87 Failed, w=120\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=120\",\"Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=120\",\"Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=120\",\"Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=120\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,2,46],[0,3,72],[0,4,25],[0,5,18],[0,6,47],[0,7,58],[1,2,54],[1,3,13],[1,4,43],[1,5,98],[1,6,24],[1,7,29],[2,3,51],[2,4,24],[2,5,75],[2,6,93],[2,7,64],[3,4,91],[3,5,97],[3,6,16],[4,5,38],[4,6,93],[4,7,81],[5,6,4],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=4,(0,1)=9,(1,3)=13,(3,6)=16,(0,5)=18,(1,6)=24,(2,4)=24,(0,4)=25,(1,7)=29,(4,5)=38,(1,4)=43,(0,2)=46,(0,6)=47,(2,3)=51,(1,2)=54,(0,7)=58,(2,7)=64,(0,3)=72,(2,5)=75,(4,7)=81,(5,7)=87,(3,4)=91,(2,6)=93,(4,6)=93,(3,5)=97,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 7}, Find(1)=0, Find(3)=3, Add (1,3)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 5, 7: 7}, Find(3)=0, Find(6)=5, Add (3,6)=16 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 5, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=18 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(6)=0, Add (1,6)=24 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=25 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=29 Succeeded, w=120\",\"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)=38 Failed, w=120\",\"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)=43 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=120\",\"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)=47 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=120\",\"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)=54 Failed, w=120\",\"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)=58 Failed, w=120\",\"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)=64 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=120\",\"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)=75 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=81 Failed, w=120\",\"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)=87 Failed, w=120\",\"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)=91 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=120\",\"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)=93 Failed, w=120\",\"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)=97 Failed, w=120\",\"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)=98 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,54],[0,4,29],[0,6,28],[0,7,30],[1,2,52],[1,3,35],[1,4,22],[1,6,40],[1,7,23],[2,3,84],[2,4,32],[2,5,89],[2,7,49],[3,4,100],[3,5,89],[3,7,31],[4,5,43],[4,7,7],[5,6,52],[5,7,88],[6,7,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,29],[0,6,28],[0,7,30],[1,2,52],[1,3,35],[1,4,22],[1,6,40],[1,7,23],[2,3,84],[2,4,32],[2,5,89],[2,7,49],[3,4,100],[3,5,89],[3,7,31],[4,5,43],[4,7,7],[5,6,52],[5,7,88],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,29],[0,6,28],[0,7,30],[1,2,52],[1,3,35],[1,4,22],[1,6,40],[1,7,23],[2,3,84],[2,4,32],[2,5,89],[2,7,49],[3,4,100],[3,5,89],[3,7,31],[4,5,43],[4,7,7],[5,6,52],[5,7,88],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (0,4)\",\"Add (3,7)\",\"Add (2,4)\",\"Add (4,5)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,29],[0,6,28],[0,7,30],[1,2,52],[1,3,35],[1,4,22],[1,6,40],[1,7,23],[2,3,84],[2,4,32],[2,5,89],[2,7,49],[3,4,100],[3,5,89],[3,7,31],[4,5,43],[4,7,7],[5,6,52],[5,7,88],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=7, w=7\",\"Add (1,4)=22, w=29\",\"Add (0,6)=28, w=57\",\"Add (0,4)=29, w=86\",\"Add (3,7)=31, w=117\",\"Add (2,4)=32, w=149\",\"Add (4,5)=43, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,29],[0,6,28],[0,7,30],[1,2,52],[1,3,35],[1,4,22],[1,6,40],[1,7,23],[2,3,84],[2,4,32],[2,5,89],[2,7,49],[3,4,100],[3,5,89],[3,7,31],[4,5,43],[4,7,7],[5,6,52],[5,7,88],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=7 Succeeded, w=7\",\"Add (1,4)=22 Succeeded, w=29\",\"Add (1,7)=23 Failed, w=29\",\"Add (0,6)=28 Succeeded, w=57\",\"Add (0,4)=29 Succeeded, w=86\",\"Add (0,7)=30 Failed, w=86\",\"Add (3,7)=31 Succeeded, w=117\",\"Add (2,4)=32 Succeeded, w=149\",\"Add (1,3)=35 Failed, w=149\",\"Add (1,6)=40 Failed, w=149\",\"Add (4,5)=43 Succeeded, w=192\",\"Add (2,7)=49 Failed, w=192\",\"Add (1,2)=52 Failed, w=192\",\"Add (5,6)=52 Failed, w=192\",\"Add (0,1)=54 Failed, w=192\",\"Add (6,7)=58 Failed, w=192\",\"Add (2,3)=84 Failed, w=192\",\"Add (5,7)=88 Failed, w=192\",\"Add (2,5)=89 Failed, w=192\",\"Add (3,5)=89 Failed, w=192\",\"Add (3,4)=100 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,29],[0,6,28],[0,7,30],[1,2,52],[1,3,35],[1,4,22],[1,6,40],[1,7,23],[2,3,84],[2,4,32],[2,5,89],[2,7,49],[3,4,100],[3,5,89],[3,7,31],[4,5,43],[4,7,7],[5,6,52],[5,7,88],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=7,(1,4)=22,(1,7)=23,(0,6)=28,(0,4)=29,(0,7)=30,(3,7)=31,(2,4)=32,(1,3)=35,(1,6)=40,(4,5)=43,(2,7)=49,(1,2)=52,(5,6)=52,(0,1)=54,(6,7)=58,(2,3)=84,(5,7)=88,(2,5)=89,(3,5)=89,(3,4)=100]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=29\",\"Find(1)=4, Find(7)=4, Add (1,7)=23 Failed, w=29\",\"Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=57\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=86\",\"Find(0)=0, Find(7)=0, Add (0,7)=30 Failed, w=86\",\"Find(3)=3, Find(7)=0, Add (3,7)=31 Succeeded, w=117\",\"Find(2)=2, Find(4)=0, Add (2,4)=32 Succeeded, w=149\",\"Find(1)=0, Find(3)=0, Add (1,3)=35 Failed, w=149\",\"Find(1)=0, Find(6)=0, Add (1,6)=40 Failed, w=149\",\"Find(4)=0, Find(5)=5, Add (4,5)=43 Succeeded, w=192\",\"Find(2)=0, Find(7)=0, Add (2,7)=49 Failed, w=192\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=192\",\"Find(5)=0, Find(6)=0, Add (5,6)=52 Failed, w=192\",\"Find(0)=0, Find(1)=0, Add (0,1)=54 Failed, w=192\",\"Find(6)=0, Find(7)=0, Add (6,7)=58 Failed, w=192\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=192\",\"Find(5)=0, Find(7)=0, Add (5,7)=88 Failed, w=192\",\"Find(2)=0, Find(5)=0, Add (2,5)=89 Failed, w=192\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=192\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,29],[0,6,28],[0,7,30],[1,2,52],[1,3,35],[1,4,22],[1,6,40],[1,7,23],[2,3,84],[2,4,32],[2,5,89],[2,7,49],[3,4,100],[3,5,89],[3,7,31],[4,5,43],[4,7,7],[5,6,52],[5,7,88],[6,7,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=7,(1,4)=22,(1,7)=23,(0,6)=28,(0,4)=29,(0,7)=30,(3,7)=31,(2,4)=32,(1,3)=35,(1,6)=40,(4,5)=43,(2,7)=49,(1,2)=52,(5,6)=52,(0,1)=54,(6,7)=58,(2,3)=84,(5,7)=88,(2,5)=89,(3,5)=89,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=29\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=23 Failed, w=29\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 4}, Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=57\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 4}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=86\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=30 Failed, w=86\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=31 Succeeded, w=117\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(4)=0, Add (2,4)=32 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=35 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=40 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=5, Add (4,5)=43 Succeeded, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=49 Failed, w=192\",\"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)=52 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=52 Failed, w=192\",\"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)=54 Failed, w=192\",\"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)=58 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=192\",\"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)=88 Failed, w=192\",\"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)=89 Failed, w=192\",\"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)=89 Failed, w=192\",\"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)=100 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,64],[0,3,7],[1,3,8],[2,3,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,64],[0,3,7],[1,3,8],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,64],[0,3,7],[1,3,8],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,64],[0,3,7],[1,3,8],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (1,3)=8, w=15\",\"Add (0,2)=64, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,64],[0,3,7],[1,3,8],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (1,3)=8 Succeeded, w=15\",\"Add (0,2)=64 Succeeded, w=79\",\"Add (2,3)=83 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,64],[0,3,7],[1,3,8],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,3)=8,(0,2)=64,(2,3)=83]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=0, Add (1,3)=8 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,64],[0,3,7],[1,3,8],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,3)=8,(0,2)=64,(2,3)=83]\",\"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)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=64 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,93],[0,4,49],[1,4,87],[2,3,17],[2,4,64],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,4,49],[1,4,87],[2,3,17],[2,4,64],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,4,49],[1,4,87],[2,3,17],[2,4,64],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,4,49],[1,4,87],[2,3,17],[2,4,64],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=17, w=17\",\"Add (3,4)=29, w=46\",\"Add (0,4)=49, w=95\",\"Add (1,4)=87, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,4,49],[1,4,87],[2,3,17],[2,4,64],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=17 Succeeded, w=17\",\"Add (3,4)=29 Succeeded, w=46\",\"Add (0,4)=49 Succeeded, w=95\",\"Add (2,4)=64 Failed, w=95\",\"Add (1,4)=87 Succeeded, w=182\",\"Add (0,1)=93 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,4,49],[1,4,87],[2,3,17],[2,4,64],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=17,(3,4)=29,(0,4)=49,(2,4)=64,(1,4)=87,(0,1)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=17\",\"Find(3)=2, Find(4)=4, Add (3,4)=29 Succeeded, w=46\",\"Find(0)=0, Find(4)=2, Add (0,4)=49 Succeeded, w=95\",\"Find(2)=2, Find(4)=2, Add (2,4)=64 Failed, w=95\",\"Find(1)=1, Find(4)=2, Add (1,4)=87 Succeeded, w=182\",\"Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,93],[0,4,49],[1,4,87],[2,3,17],[2,4,64],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=17,(3,4)=29,(0,4)=49,(2,4)=64,(1,4)=87,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=29 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=49 Succeeded, w=95\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=64 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=87 Succeeded, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,23],[0,2,95],[0,3,75],[0,4,95],[0,6,43],[0,7,34],[1,2,31],[1,3,17],[1,4,23],[1,5,90],[1,6,23],[1,7,69],[2,3,35],[2,4,84],[2,5,6],[2,6,59],[2,7,1],[3,4,73],[3,6,96],[3,7,48],[4,5,94],[4,6,97],[4,7,11],[5,6,88],[5,7,58],[6,7,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,95],[0,3,75],[0,4,95],[0,6,43],[0,7,34],[1,2,31],[1,3,17],[1,4,23],[1,5,90],[1,6,23],[1,7,69],[2,3,35],[2,4,84],[2,5,6],[2,6,59],[2,7,1],[3,4,73],[3,6,96],[3,7,48],[4,5,94],[4,6,97],[4,7,11],[5,6,88],[5,7,58],[6,7,47]]}",
"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\":[[0,1,23],[0,2,95],[0,3,75],[0,4,95],[0,6,43],[0,7,34],[1,2,31],[1,3,17],[1,4,23],[1,5,90],[1,6,23],[1,7,69],[2,3,35],[2,4,84],[2,5,6],[2,6,59],[2,7,1],[3,4,73],[3,6,96],[3,7,48],[4,5,94],[4,6,97],[4,7,11],[5,6,88],[5,7,58],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (2,5)\",\"Add (4,7)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (1,6)\"],\"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\":[[0,1,23],[0,2,95],[0,3,75],[0,4,95],[0,6,43],[0,7,34],[1,2,31],[1,3,17],[1,4,23],[1,5,90],[1,6,23],[1,7,69],[2,3,35],[2,4,84],[2,5,6],[2,6,59],[2,7,1],[3,4,73],[3,6,96],[3,7,48],[4,5,94],[4,6,97],[4,7,11],[5,6,88],[5,7,58],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=1, w=1\",\"Add (2,5)=6, w=7\",\"Add (4,7)=11, w=18\",\"Add (1,3)=17, w=35\",\"Add (0,1)=23, w=58\",\"Add (1,4)=23, w=81\",\"Add (1,6)=23, 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\":[[0,1,23],[0,2,95],[0,3,75],[0,4,95],[0,6,43],[0,7,34],[1,2,31],[1,3,17],[1,4,23],[1,5,90],[1,6,23],[1,7,69],[2,3,35],[2,4,84],[2,5,6],[2,6,59],[2,7,1],[3,4,73],[3,6,96],[3,7,48],[4,5,94],[4,6,97],[4,7,11],[5,6,88],[5,7,58],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=1 Succeeded, w=1\",\"Add (2,5)=6 Succeeded, w=7\",\"Add (4,7)=11 Succeeded, w=18\",\"Add (1,3)=17 Succeeded, w=35\",\"Add (0,1)=23 Succeeded, w=58\",\"Add (1,4)=23 Succeeded, w=81\",\"Add (1,6)=23 Succeeded, w=104\",\"Add (1,2)=31 Failed, w=104\",\"Add (0,7)=34 Failed, w=104\",\"Add (2,3)=35 Failed, w=104\",\"Add (0,6)=43 Failed, w=104\",\"Add (6,7)=47 Failed, w=104\",\"Add (3,7)=48 Failed, w=104\",\"Add (5,7)=58 Failed, w=104\",\"Add (2,6)=59 Failed, w=104\",\"Add (1,7)=69 Failed, w=104\",\"Add (3,4)=73 Failed, w=104\",\"Add (0,3)=75 Failed, w=104\",\"Add (2,4)=84 Failed, w=104\",\"Add (5,6)=88 Failed, w=104\",\"Add (1,5)=90 Failed, w=104\",\"Add (4,5)=94 Failed, w=104\",\"Add (0,2)=95 Failed, w=104\",\"Add (0,4)=95 Failed, w=104\",\"Add (3,6)=96 Failed, w=104\",\"Add (4,6)=97 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\":[[0,1,23],[0,2,95],[0,3,75],[0,4,95],[0,6,43],[0,7,34],[1,2,31],[1,3,17],[1,4,23],[1,5,90],[1,6,23],[1,7,69],[2,3,35],[2,4,84],[2,5,6],[2,6,59],[2,7,1],[3,4,73],[3,6,96],[3,7,48],[4,5,94],[4,6,97],[4,7,11],[5,6,88],[5,7,58],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=1,(2,5)=6,(4,7)=11,(1,3)=17,(0,1)=23,(1,4)=23,(1,6)=23,(1,2)=31,(0,7)=34,(2,3)=35,(0,6)=43,(6,7)=47,(3,7)=48,(5,7)=58,(2,6)=59,(1,7)=69,(3,4)=73,(0,3)=75,(2,4)=84,(5,6)=88,(1,5)=90,(4,5)=94,(0,2)=95,(0,4)=95,(3,6)=96,(4,6)=97]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=7\",\"Find(4)=4, Find(7)=2, Add (4,7)=11 Succeeded, w=18\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=58\",\"Find(1)=1, Find(4)=2, Add (1,4)=23 Succeeded, w=81\",\"Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=104\",\"Find(1)=1, Find(2)=1, Add (1,2)=31 Failed, w=104\",\"Find(0)=1, Find(7)=1, Add (0,7)=34 Failed, w=104\",\"Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=104\",\"Find(0)=1, Find(6)=1, Add (0,6)=43 Failed, w=104\",\"Find(6)=1, Find(7)=1, Add (6,7)=47 Failed, w=104\",\"Find(3)=1, Find(7)=1, Add (3,7)=48 Failed, w=104\",\"Find(5)=1, Find(7)=1, Add (5,7)=58 Failed, w=104\",\"Find(2)=1, Find(6)=1, Add (2,6)=59 Failed, w=104\",\"Find(1)=1, Find(7)=1, Add (1,7)=69 Failed, w=104\",\"Find(3)=1, Find(4)=1, Add (3,4)=73 Failed, w=104\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=104\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=104\",\"Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=104\",\"Find(1)=1, Find(5)=1, Add (1,5)=90 Failed, w=104\",\"Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=104\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=104\",\"Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=104\",\"Find(3)=1, Find(6)=1, Add (3,6)=96 Failed, w=104\",\"Find(4)=1, Find(6)=1, Add (4,6)=97 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\":[[0,1,23],[0,2,95],[0,3,75],[0,4,95],[0,6,43],[0,7,34],[1,2,31],[1,3,17],[1,4,23],[1,5,90],[1,6,23],[1,7,69],[2,3,35],[2,4,84],[2,5,6],[2,6,59],[2,7,1],[3,4,73],[3,6,96],[3,7,48],[4,5,94],[4,6,97],[4,7,11],[5,6,88],[5,7,58],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=1,(2,5)=6,(4,7)=11,(1,3)=17,(0,1)=23,(1,4)=23,(1,6)=23,(1,2)=31,(0,7)=34,(2,3)=35,(0,6)=43,(6,7)=47,(3,7)=48,(5,7)=58,(2,6)=59,(1,7)=69,(3,4)=73,(0,3)=75,(2,4)=84,(5,6)=88,(1,5)=90,(4,5)=94,(0,2)=95,(0,4)=95,(3,6)=96,(4,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 2}, Find(4)=4, Find(7)=2, Add (4,7)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 6, 7: 2}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 6, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 6, 7: 2}, Find(1)=1, Find(4)=2, Add (1,4)=23 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1, 7: 2}, Find(1)=1, Find(2)=1, Add (1,2)=31 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=34 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=43 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=47 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=48 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=58 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=59 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=69 Failed, w=104\",\"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)=73 Failed, w=104\",\"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)=75 Failed, w=104\",\"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)=84 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=90 Failed, w=104\",\"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)=94 Failed, w=104\",\"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)=95 Failed, w=104\",\"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)=95 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=96 Failed, w=104\",\"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)=97 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[]\",\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[]\",\"Process\":[],\"Answer\":0}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,67],[0,2,85],[0,3,62],[0,4,63],[0,6,47],[1,2,60],[1,3,18],[1,4,6],[1,6,58],[2,3,73],[2,4,35],[2,5,48],[2,6,9],[3,4,67],[3,5,95],[3,6,6],[4,5,40],[4,6,79],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,85],[0,3,62],[0,4,63],[0,6,47],[1,2,60],[1,3,18],[1,4,6],[1,6,58],[2,3,73],[2,4,35],[2,5,48],[2,6,9],[3,4,67],[3,5,95],[3,6,6],[4,5,40],[4,6,79],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,85],[0,3,62],[0,4,63],[0,6,47],[1,2,60],[1,3,18],[1,4,6],[1,6,58],[2,3,73],[2,4,35],[2,5,48],[2,6,9],[3,4,67],[3,5,95],[3,6,6],[4,5,40],[4,6,79],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (0,6)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,85],[0,3,62],[0,4,63],[0,6,47],[1,2,60],[1,3,18],[1,4,6],[1,6,58],[2,3,73],[2,4,35],[2,5,48],[2,6,9],[3,4,67],[3,5,95],[3,6,6],[4,5,40],[4,6,79],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6, w=6\",\"Add (3,6)=6, w=12\",\"Add (2,6)=9, w=21\",\"Add (1,3)=18, w=39\",\"Add (4,5)=40, w=79\",\"Add (0,6)=47, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,85],[0,3,62],[0,4,63],[0,6,47],[1,2,60],[1,3,18],[1,4,6],[1,6,58],[2,3,73],[2,4,35],[2,5,48],[2,6,9],[3,4,67],[3,5,95],[3,6,6],[4,5,40],[4,6,79],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6 Succeeded, w=6\",\"Add (3,6)=6 Succeeded, w=12\",\"Add (2,6)=9 Succeeded, w=21\",\"Add (1,3)=18 Succeeded, w=39\",\"Add (2,4)=35 Failed, w=39\",\"Add (4,5)=40 Succeeded, w=79\",\"Add (5,6)=41 Failed, w=79\",\"Add (0,6)=47 Succeeded, w=126\",\"Add (2,5)=48 Failed, w=126\",\"Add (1,6)=58 Failed, w=126\",\"Add (1,2)=60 Failed, w=126\",\"Add (0,3)=62 Failed, w=126\",\"Add (0,4)=63 Failed, w=126\",\"Add (0,1)=67 Failed, w=126\",\"Add (3,4)=67 Failed, w=126\",\"Add (2,3)=73 Failed, w=126\",\"Add (4,6)=79 Failed, w=126\",\"Add (0,2)=85 Failed, w=126\",\"Add (3,5)=95 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,85],[0,3,62],[0,4,63],[0,6,47],[1,2,60],[1,3,18],[1,4,6],[1,6,58],[2,3,73],[2,4,35],[2,5,48],[2,6,9],[3,4,67],[3,5,95],[3,6,6],[4,5,40],[4,6,79],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(3,6)=6,(2,6)=9,(1,3)=18,(2,4)=35,(4,5)=40,(5,6)=41,(0,6)=47,(2,5)=48,(1,6)=58,(1,2)=60,(0,3)=62,(0,4)=63,(0,1)=67,(3,4)=67,(2,3)=73,(4,6)=79,(0,2)=85,(3,5)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=12\",\"Find(2)=2, Find(6)=3, Add (2,6)=9 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=39\",\"Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=39\",\"Find(4)=1, Find(5)=5, Add (4,5)=40 Succeeded, w=79\",\"Find(5)=1, Find(6)=1, Add (5,6)=41 Failed, w=79\",\"Find(0)=0, Find(6)=1, Add (0,6)=47 Succeeded, w=126\",\"Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=126\",\"Find(1)=1, Find(6)=1, Add (1,6)=58 Failed, w=126\",\"Find(1)=1, Find(2)=1, Add (1,2)=60 Failed, w=126\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=126\",\"Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=126\",\"Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=126\",\"Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=126\",\"Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=126\",\"Find(4)=1, Find(6)=1, Add (4,6)=79 Failed, w=126\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=126\",\"Find(3)=1, Find(5)=1, Add (3,5)=95 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,85],[0,3,62],[0,4,63],[0,6,47],[1,2,60],[1,3,18],[1,4,6],[1,6,58],[2,3,73],[2,4,35],[2,5,48],[2,6,9],[3,4,67],[3,5,95],[3,6,6],[4,5,40],[4,6,79],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(3,6)=6,(2,6)=9,(1,3)=18,(2,4)=35,(4,5)=40,(5,6)=41,(0,6)=47,(2,5)=48,(1,6)=58,(1,2)=60,(0,3)=62,(0,4)=63,(0,1)=67,(3,4)=67,(2,3)=73,(4,6)=79,(0,2)=85,(3,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 1, 5: 5, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=9 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 1, 4: 1, 5: 5, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 3}, Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3}, Find(4)=1, Find(5)=5, Add (4,5)=40 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=41 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=47 Succeeded, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=48 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=58 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=60 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=63 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=79 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=95 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,2,93],[0,3,47],[1,2,69],[1,3,7],[2,3,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,93],[0,3,47],[1,2,69],[1,3,7],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,93],[0,3,47],[1,2,69],[1,3,7],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,93],[0,3,47],[1,2,69],[1,3,7],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (2,3)=43, w=50\",\"Add (0,3)=47, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,93],[0,3,47],[1,2,69],[1,3,7],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (2,3)=43 Succeeded, w=50\",\"Add (0,3)=47 Succeeded, w=97\",\"Add (0,1)=62 Failed, w=97\",\"Add (1,2)=69 Failed, w=97\",\"Add (0,2)=93 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,93],[0,3,47],[1,2,69],[1,3,7],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(2,3)=43,(0,3)=47,(0,1)=62,(1,2)=69,(0,2)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=50\",\"Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=97\",\"Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=97\",\"Find(1)=1, Find(2)=1, Add (1,2)=69 Failed, w=97\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,93],[0,3,47],[1,2,69],[1,3,7],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(2,3)=43,(0,3)=47,(0,1)=62,(1,2)=69,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=43 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=69 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,25],[0,2,53],[0,4,61],[1,2,34],[1,3,15],[1,4,87],[2,3,59],[2,4,33],[3,4,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,53],[0,4,61],[1,2,34],[1,3,15],[1,4,87],[2,3,59],[2,4,33],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,53],[0,4,61],[1,2,34],[1,3,15],[1,4,87],[2,3,59],[2,4,33],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,53],[0,4,61],[1,2,34],[1,3,15],[1,4,87],[2,3,59],[2,4,33],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15, w=15\",\"Add (0,1)=25, w=40\",\"Add (2,4)=33, w=73\",\"Add (1,2)=34, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,53],[0,4,61],[1,2,34],[1,3,15],[1,4,87],[2,3,59],[2,4,33],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15 Succeeded, w=15\",\"Add (0,1)=25 Succeeded, w=40\",\"Add (2,4)=33 Succeeded, w=73\",\"Add (1,2)=34 Succeeded, w=107\",\"Add (0,2)=53 Failed, w=107\",\"Add (2,3)=59 Failed, w=107\",\"Add (0,4)=61 Failed, w=107\",\"Add (3,4)=79 Failed, w=107\",\"Add (1,4)=87 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,53],[0,4,61],[1,2,34],[1,3,15],[1,4,87],[2,3,59],[2,4,33],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(0,1)=25,(2,4)=33,(1,2)=34,(0,2)=53,(2,3)=59,(0,4)=61,(3,4)=79,(1,4)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=40\",\"Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=73\",\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=107\",\"Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=107\",\"Find(2)=1, Find(3)=1, Add (2,3)=59 Failed, w=107\",\"Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=107\",\"Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=107\",\"Find(1)=1, Find(4)=1, Add (1,4)=87 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,53],[0,4,61],[1,2,34],[1,3,15],[1,4,87],[2,3,59],[2,4,33],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(0,1)=25,(2,4)=33,(1,2)=34,(0,2)=53,(2,3)=59,(0,4)=61,(3,4)=79,(1,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=33 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=1, Find(2)=1, Add (0,2)=53 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(2)=1, Find(3)=1, Add (2,3)=59 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=61 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=87 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,77],[0,4,55],[0,5,40],[0,6,74],[0,7,67],[1,2,92],[1,3,89],[1,4,78],[1,5,29],[1,6,22],[1,7,29],[2,3,43],[2,4,57],[2,5,73],[2,6,83],[2,7,39],[3,4,41],[3,5,2],[3,6,77],[3,7,84],[4,5,61],[4,6,96],[4,7,28],[5,6,97],[5,7,89],[6,7,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,4,55],[0,5,40],[0,6,74],[0,7,67],[1,2,92],[1,3,89],[1,4,78],[1,5,29],[1,6,22],[1,7,29],[2,3,43],[2,4,57],[2,5,73],[2,6,83],[2,7,39],[3,4,41],[3,5,2],[3,6,77],[3,7,84],[4,5,61],[4,6,96],[4,7,28],[5,6,97],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,4,55],[0,5,40],[0,6,74],[0,7,67],[1,2,92],[1,3,89],[1,4,78],[1,5,29],[1,6,22],[1,7,29],[2,3,43],[2,4,57],[2,5,73],[2,6,83],[2,7,39],[3,4,41],[3,5,2],[3,6,77],[3,7,84],[4,5,61],[4,6,96],[4,7,28],[5,6,97],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,6)\",\"Add (4,7)\",\"Add (1,5)\",\"Add (1,7)\",\"Add (2,7)\",\"Add (0,5)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,4,55],[0,5,40],[0,6,74],[0,7,67],[1,2,92],[1,3,89],[1,4,78],[1,5,29],[1,6,22],[1,7,29],[2,3,43],[2,4,57],[2,5,73],[2,6,83],[2,7,39],[3,4,41],[3,5,2],[3,6,77],[3,7,84],[4,5,61],[4,6,96],[4,7,28],[5,6,97],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (1,6)=22, w=24\",\"Add (4,7)=28, w=52\",\"Add (1,5)=29, w=81\",\"Add (1,7)=29, w=110\",\"Add (2,7)=39, w=149\",\"Add (0,5)=40, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,4,55],[0,5,40],[0,6,74],[0,7,67],[1,2,92],[1,3,89],[1,4,78],[1,5,29],[1,6,22],[1,7,29],[2,3,43],[2,4,57],[2,5,73],[2,6,83],[2,7,39],[3,4,41],[3,5,2],[3,6,77],[3,7,84],[4,5,61],[4,6,96],[4,7,28],[5,6,97],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (1,6)=22 Succeeded, w=24\",\"Add (4,7)=28 Succeeded, w=52\",\"Add (1,5)=29 Succeeded, w=81\",\"Add (1,7)=29 Succeeded, w=110\",\"Add (2,7)=39 Succeeded, w=149\",\"Add (0,5)=40 Succeeded, w=189\",\"Add (3,4)=41 Failed, w=189\",\"Add (2,3)=43 Failed, w=189\",\"Add (0,4)=55 Failed, w=189\",\"Add (2,4)=57 Failed, w=189\",\"Add (4,5)=61 Failed, w=189\",\"Add (0,7)=67 Failed, w=189\",\"Add (6,7)=72 Failed, w=189\",\"Add (2,5)=73 Failed, w=189\",\"Add (0,6)=74 Failed, w=189\",\"Add (0,2)=77 Failed, w=189\",\"Add (3,6)=77 Failed, w=189\",\"Add (1,4)=78 Failed, w=189\",\"Add (2,6)=83 Failed, w=189\",\"Add (3,7)=84 Failed, w=189\",\"Add (1,3)=89 Failed, w=189\",\"Add (5,7)=89 Failed, w=189\",\"Add (1,2)=92 Failed, w=189\",\"Add (4,6)=96 Failed, w=189\",\"Add (5,6)=97 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,4,55],[0,5,40],[0,6,74],[0,7,67],[1,2,92],[1,3,89],[1,4,78],[1,5,29],[1,6,22],[1,7,29],[2,3,43],[2,4,57],[2,5,73],[2,6,83],[2,7,39],[3,4,41],[3,5,2],[3,6,77],[3,7,84],[4,5,61],[4,6,96],[4,7,28],[5,6,97],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(1,6)=22,(4,7)=28,(1,5)=29,(1,7)=29,(2,7)=39,(0,5)=40,(3,4)=41,(2,3)=43,(0,4)=55,(2,4)=57,(4,5)=61,(0,7)=67,(6,7)=72,(2,5)=73,(0,6)=74,(0,2)=77,(3,6)=77,(1,4)=78,(2,6)=83,(3,7)=84,(1,3)=89,(5,7)=89,(1,2)=92,(4,6)=96,(5,6)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(6)=6, Add (1,6)=22 Succeeded, w=24\",\"Find(4)=4, Find(7)=7, Add (4,7)=28 Succeeded, w=52\",\"Find(1)=1, Find(5)=3, Add (1,5)=29 Succeeded, w=81\",\"Find(1)=1, Find(7)=4, Add (1,7)=29 Succeeded, w=110\",\"Find(2)=2, Find(7)=1, Add (2,7)=39 Succeeded, w=149\",\"Find(0)=0, Find(5)=1, Add (0,5)=40 Succeeded, w=189\",\"Find(3)=1, Find(4)=1, Add (3,4)=41 Failed, w=189\",\"Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=189\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=189\",\"Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=189\",\"Find(4)=1, Find(5)=1, Add (4,5)=61 Failed, w=189\",\"Find(0)=1, Find(7)=1, Add (0,7)=67 Failed, w=189\",\"Find(6)=1, Find(7)=1, Add (6,7)=72 Failed, w=189\",\"Find(2)=1, Find(5)=1, Add (2,5)=73 Failed, w=189\",\"Find(0)=1, Find(6)=1, Add (0,6)=74 Failed, w=189\",\"Find(0)=1, Find(2)=1, Add (0,2)=77 Failed, w=189\",\"Find(3)=1, Find(6)=1, Add (3,6)=77 Failed, w=189\",\"Find(1)=1, Find(4)=1, Add (1,4)=78 Failed, w=189\",\"Find(2)=1, Find(6)=1, Add (2,6)=83 Failed, w=189\",\"Find(3)=1, Find(7)=1, Add (3,7)=84 Failed, w=189\",\"Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=189\",\"Find(5)=1, Find(7)=1, Add (5,7)=89 Failed, w=189\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=189\",\"Find(4)=1, Find(6)=1, Add (4,6)=96 Failed, w=189\",\"Find(5)=1, Find(6)=1, Add (5,6)=97 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,4,55],[0,5,40],[0,6,74],[0,7,67],[1,2,92],[1,3,89],[1,4,78],[1,5,29],[1,6,22],[1,7,29],[2,3,43],[2,4,57],[2,5,73],[2,6,83],[2,7,39],[3,4,41],[3,5,2],[3,6,77],[3,7,84],[4,5,61],[4,6,96],[4,7,28],[5,6,97],[5,7,89],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(1,6)=22,(4,7)=28,(1,5)=29,(1,7)=29,(2,7)=39,(0,5)=40,(3,4)=41,(2,3)=43,(0,4)=55,(2,4)=57,(4,5)=61,(0,7)=67,(6,7)=72,(2,5)=73,(0,6)=74,(0,2)=77,(3,6)=77,(1,4)=78,(2,6)=83,(3,7)=84,(1,3)=89,(5,7)=89,(1,2)=92,(4,6)=96,(5,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=22 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=28 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 3, 6: 1, 7: 4}, Find(1)=1, Find(5)=3, Add (1,5)=29 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 1, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=29 Succeeded, w=110\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=39 Succeeded, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=40 Succeeded, w=189\",\"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)=41 Failed, w=189\",\"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)=43 Failed, w=189\",\"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)=55 Failed, w=189\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=57 Failed, w=189\",\"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)=61 Failed, w=189\",\"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)=67 Failed, w=189\",\"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)=72 Failed, w=189\",\"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)=73 Failed, w=189\",\"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)=74 Failed, w=189\",\"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)=77 Failed, w=189\",\"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)=77 Failed, w=189\",\"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)=78 Failed, w=189\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=83 Failed, w=189\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=84 Failed, w=189\",\"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)=89 Failed, w=189\",\"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)=89 Failed, w=189\",\"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)=92 Failed, w=189\",\"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)=96 Failed, w=189\",\"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)=97 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,25],[0,2,36],[0,5,6],[0,6,7],[1,3,88],[1,4,86],[1,5,40],[2,3,31],[2,4,90],[3,6,97],[4,5,59],[5,6,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,36],[0,5,6],[0,6,7],[1,3,88],[1,4,86],[1,5,40],[2,3,31],[2,4,90],[3,6,97],[4,5,59],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,36],[0,5,6],[0,6,7],[1,3,88],[1,4,86],[1,5,40],[2,3,31],[2,4,90],[3,6,97],[4,5,59],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (4,5)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,36],[0,5,6],[0,6,7],[1,3,88],[1,4,86],[1,5,40],[2,3,31],[2,4,90],[3,6,97],[4,5,59],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6, w=6\",\"Add (0,6)=7, w=13\",\"Add (0,1)=25, w=38\",\"Add (2,3)=31, w=69\",\"Add (0,2)=36, w=105\",\"Add (4,5)=59, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,36],[0,5,6],[0,6,7],[1,3,88],[1,4,86],[1,5,40],[2,3,31],[2,4,90],[3,6,97],[4,5,59],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=6 Succeeded, w=6\",\"Add (0,6)=7 Succeeded, w=13\",\"Add (0,1)=25 Succeeded, w=38\",\"Add (2,3)=31 Succeeded, w=69\",\"Add (0,2)=36 Succeeded, w=105\",\"Add (1,5)=40 Failed, w=105\",\"Add (4,5)=59 Succeeded, w=164\",\"Add (1,4)=86 Failed, w=164\",\"Add (1,3)=88 Failed, w=164\",\"Add (2,4)=90 Failed, w=164\",\"Add (5,6)=95 Failed, w=164\",\"Add (3,6)=97 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,36],[0,5,6],[0,6,7],[1,3,88],[1,4,86],[1,5,40],[2,3,31],[2,4,90],[3,6,97],[4,5,59],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(0,6)=7,(0,1)=25,(2,3)=31,(0,2)=36,(1,5)=40,(4,5)=59,(1,4)=86,(1,3)=88,(2,4)=90,(5,6)=95,(3,6)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=38\",\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=69\",\"Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=105\",\"Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=105\",\"Find(4)=4, Find(5)=0, Add (4,5)=59 Succeeded, w=164\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=164\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=164\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=164\",\"Find(5)=0, Find(6)=0, Add (5,6)=95 Failed, w=164\",\"Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,36],[0,5,6],[0,6,7],[1,3,88],[1,4,86],[1,5,40],[2,3,31],[2,4,90],[3,6,97],[4,5,59],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=6,(0,6)=7,(0,1)=25,(2,3)=31,(0,2)=36,(1,5)=40,(4,5)=59,(1,4)=86,(1,3)=88,(2,4)=90,(5,6)=95,(3,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(5)=0, Add (4,5)=59 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=95 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,91],[0,3,67],[0,5,26],[0,6,64],[1,2,95],[1,3,89],[1,4,91],[1,5,22],[1,6,54],[2,3,99],[2,4,33],[2,5,2],[2,6,100],[3,4,70],[3,5,42],[3,6,12],[4,5,28],[4,6,27],[5,6,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,3,67],[0,5,26],[0,6,64],[1,2,95],[1,3,89],[1,4,91],[1,5,22],[1,6,54],[2,3,99],[2,4,33],[2,5,2],[2,6,100],[3,4,70],[3,5,42],[3,6,12],[4,5,28],[4,6,27],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,3,67],[0,5,26],[0,6,64],[1,2,95],[1,3,89],[1,4,91],[1,5,22],[1,6,54],[2,3,99],[2,4,33],[2,5,2],[2,6,100],[3,4,70],[3,5,42],[3,6,12],[4,5,28],[4,6,27],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (5,6)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,3,67],[0,5,26],[0,6,64],[1,2,95],[1,3,89],[1,4,91],[1,5,22],[1,6,54],[2,3,99],[2,4,33],[2,5,2],[2,6,100],[3,4,70],[3,5,42],[3,6,12],[4,5,28],[4,6,27],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (3,6)=12, w=14\",\"Add (1,5)=22, w=36\",\"Add (0,5)=26, w=62\",\"Add (4,6)=27, w=89\",\"Add (5,6)=27, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,3,67],[0,5,26],[0,6,64],[1,2,95],[1,3,89],[1,4,91],[1,5,22],[1,6,54],[2,3,99],[2,4,33],[2,5,2],[2,6,100],[3,4,70],[3,5,42],[3,6,12],[4,5,28],[4,6,27],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (3,6)=12 Succeeded, w=14\",\"Add (1,5)=22 Succeeded, w=36\",\"Add (0,5)=26 Succeeded, w=62\",\"Add (4,6)=27 Succeeded, w=89\",\"Add (5,6)=27 Succeeded, w=116\",\"Add (4,5)=28 Failed, w=116\",\"Add (2,4)=33 Failed, w=116\",\"Add (3,5)=42 Failed, w=116\",\"Add (1,6)=54 Failed, w=116\",\"Add (0,6)=64 Failed, w=116\",\"Add (0,3)=67 Failed, w=116\",\"Add (3,4)=70 Failed, w=116\",\"Add (1,3)=89 Failed, w=116\",\"Add (0,1)=91 Failed, w=116\",\"Add (1,4)=91 Failed, w=116\",\"Add (1,2)=95 Failed, w=116\",\"Add (2,3)=99 Failed, w=116\",\"Add (2,6)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,3,67],[0,5,26],[0,6,64],[1,2,95],[1,3,89],[1,4,91],[1,5,22],[1,6,54],[2,3,99],[2,4,33],[2,5,2],[2,6,100],[3,4,70],[3,5,42],[3,6,12],[4,5,28],[4,6,27],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(3,6)=12,(1,5)=22,(0,5)=26,(4,6)=27,(5,6)=27,(4,5)=28,(2,4)=33,(3,5)=42,(1,6)=54,(0,6)=64,(0,3)=67,(3,4)=70,(1,3)=89,(0,1)=91,(1,4)=91,(1,2)=95,(2,3)=99,(2,6)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=14\",\"Find(1)=1, Find(5)=2, Add (1,5)=22 Succeeded, w=36\",\"Find(0)=0, Find(5)=2, Add (0,5)=26 Succeeded, w=62\",\"Find(4)=4, Find(6)=3, Add (4,6)=27 Succeeded, w=89\",\"Find(5)=2, Find(6)=3, Add (5,6)=27 Succeeded, w=116\",\"Find(4)=2, Find(5)=2, Add (4,5)=28 Failed, w=116\",\"Find(2)=2, Find(4)=2, Add (2,4)=33 Failed, w=116\",\"Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=116\",\"Find(1)=2, Find(6)=2, Add (1,6)=54 Failed, w=116\",\"Find(0)=2, Find(6)=2, Add (0,6)=64 Failed, w=116\",\"Find(0)=2, Find(3)=2, Add (0,3)=67 Failed, w=116\",\"Find(3)=2, Find(4)=2, Add (3,4)=70 Failed, w=116\",\"Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=116\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=116\",\"Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=116\",\"Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=116\",\"Find(2)=2, Find(3)=2, Add (2,3)=99 Failed, w=116\",\"Find(2)=2, Find(6)=2, Add (2,6)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,3,67],[0,5,26],[0,6,64],[1,2,95],[1,3,89],[1,4,91],[1,5,22],[1,6,54],[2,3,99],[2,4,33],[2,5,2],[2,6,100],[3,4,70],[3,5,42],[3,6,12],[4,5,28],[4,6,27],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(3,6)=12,(1,5)=22,(0,5)=26,(4,6)=27,(5,6)=27,(4,5)=28,(2,4)=33,(3,5)=42,(1,6)=54,(0,6)=64,(0,3)=67,(3,4)=70,(1,3)=89,(0,1)=91,(1,4)=91,(1,2)=95,(2,3)=99,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=12 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(1)=1, Find(5)=2, Add (1,5)=22 Succeeded, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(0)=0, Find(5)=2, Add (0,5)=26 Succeeded, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 3}, Find(4)=4, Find(6)=3, Add (4,6)=27 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 3}, Find(5)=2, Find(6)=3, Add (5,6)=27 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(4)=2, Find(5)=2, Add (4,5)=28 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(2)=2, Find(4)=2, Add (2,4)=33 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(3)=2, Find(5)=2, Add (3,5)=42 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=54 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=64 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=67 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=70 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=99 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,55],[0,2,43],[0,4,55],[1,2,57],[1,3,90],[1,4,22],[2,3,97],[2,4,67],[3,4,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,43],[0,4,55],[1,2,57],[1,3,90],[1,4,22],[2,3,97],[2,4,67],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,43],[0,4,55],[1,2,57],[1,3,90],[1,4,22],[2,3,97],[2,4,67],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,43],[0,4,55],[1,2,57],[1,3,90],[1,4,22],[2,3,97],[2,4,67],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=22, w=22\",\"Add (0,2)=43, w=65\",\"Add (3,4)=49, w=114\",\"Add (0,1)=55, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,43],[0,4,55],[1,2,57],[1,3,90],[1,4,22],[2,3,97],[2,4,67],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=22 Succeeded, w=22\",\"Add (0,2)=43 Succeeded, w=65\",\"Add (3,4)=49 Succeeded, w=114\",\"Add (0,1)=55 Succeeded, w=169\",\"Add (0,4)=55 Failed, w=169\",\"Add (1,2)=57 Failed, w=169\",\"Add (2,4)=67 Failed, w=169\",\"Add (1,3)=90 Failed, w=169\",\"Add (2,3)=97 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,43],[0,4,55],[1,2,57],[1,3,90],[1,4,22],[2,3,97],[2,4,67],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=22,(0,2)=43,(3,4)=49,(0,1)=55,(0,4)=55,(1,2)=57,(2,4)=67,(1,3)=90,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=22\",\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=65\",\"Find(3)=3, Find(4)=1, Add (3,4)=49 Succeeded, w=114\",\"Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=169\",\"Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=169\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=169\",\"Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=169\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=169\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,55],[0,2,43],[0,4,55],[1,2,57],[1,3,90],[1,4,22],[2,3,97],[2,4,67],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=22,(0,2)=43,(3,4)=49,(0,1)=55,(0,4)=55,(1,2)=57,(2,4)=67,(1,3)=90,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=49 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=55 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,2],[0,2,86],[0,3,92],[0,4,17],[0,5,72],[1,2,77],[1,3,19],[1,4,80],[1,5,19],[2,3,97],[2,4,61],[2,5,91],[3,4,21],[3,5,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,86],[0,3,92],[0,4,17],[0,5,72],[1,2,77],[1,3,19],[1,4,80],[1,5,19],[2,3,97],[2,4,61],[2,5,91],[3,4,21],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,86],[0,3,92],[0,4,17],[0,5,72],[1,2,77],[1,3,19],[1,4,80],[1,5,19],[2,3,97],[2,4,61],[2,5,91],[3,4,21],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (2,4)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,86],[0,3,92],[0,4,17],[0,5,72],[1,2,77],[1,3,19],[1,4,80],[1,5,19],[2,3,97],[2,4,61],[2,5,91],[3,4,21],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,4)=17, w=19\",\"Add (1,3)=19, w=38\",\"Add (1,5)=19, w=57\",\"Add (2,4)=61, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,86],[0,3,92],[0,4,17],[0,5,72],[1,2,77],[1,3,19],[1,4,80],[1,5,19],[2,3,97],[2,4,61],[2,5,91],[3,4,21],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,4)=17 Succeeded, w=19\",\"Add (1,3)=19 Succeeded, w=38\",\"Add (1,5)=19 Succeeded, w=57\",\"Add (3,4)=21 Failed, w=57\",\"Add (2,4)=61 Succeeded, w=118\",\"Add (0,5)=72 Failed, w=118\",\"Add (1,2)=77 Failed, w=118\",\"Add (1,4)=80 Failed, w=118\",\"Add (0,2)=86 Failed, w=118\",\"Add (2,5)=91 Failed, w=118\",\"Add (0,3)=92 Failed, w=118\",\"Add (2,3)=97 Failed, w=118\",\"Add (3,5)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,86],[0,3,92],[0,4,17],[0,5,72],[1,2,77],[1,3,19],[1,4,80],[1,5,19],[2,3,97],[2,4,61],[2,5,91],[3,4,21],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,4)=17,(1,3)=19,(1,5)=19,(3,4)=21,(2,4)=61,(0,5)=72,(1,2)=77,(1,4)=80,(0,2)=86,(2,5)=91,(0,3)=92,(2,3)=97,(3,5)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=19\",\"Find(1)=0, Find(3)=3, Add (1,3)=19 Succeeded, w=38\",\"Find(1)=0, Find(5)=5, Add (1,5)=19 Succeeded, w=57\",\"Find(3)=0, Find(4)=0, Add (3,4)=21 Failed, w=57\",\"Find(2)=2, Find(4)=0, Add (2,4)=61 Succeeded, w=118\",\"Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=118\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=118\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=118\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=118\",\"Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=118\",\"Find(0)=0, Find(3)=0, Add (0,3)=92 Failed, w=118\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=118\",\"Find(3)=0, Find(5)=0, Add (3,5)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,86],[0,3,92],[0,4,17],[0,5,72],[1,2,77],[1,3,19],[1,4,80],[1,5,19],[2,3,97],[2,4,61],[2,5,91],[3,4,21],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,4)=17,(1,3)=19,(1,5)=19,(3,4)=21,(2,4)=61,(0,5)=72,(1,2)=77,(1,4)=80,(0,2)=86,(2,5)=91,(0,3)=92,(2,3)=97,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(3)=3, Add (1,3)=19 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=19 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=21 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=61 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 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)=86 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=92 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)=97 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)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,35],[0,2,48],[0,5,61],[1,3,9],[1,4,78],[2,3,99],[2,4,11],[2,5,19],[3,4,21],[3,5,19],[4,5,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,48],[0,5,61],[1,3,9],[1,4,78],[2,3,99],[2,4,11],[2,5,19],[3,4,21],[3,5,19],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,48],[0,5,61],[1,3,9],[1,4,78],[2,3,99],[2,4,11],[2,5,19],[3,4,21],[3,5,19],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (0,1)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,48],[0,5,61],[1,3,9],[1,4,78],[2,3,99],[2,4,11],[2,5,19],[3,4,21],[3,5,19],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (2,4)=11, w=20\",\"Add (2,5)=19, w=39\",\"Add (3,5)=19, w=58\",\"Add (0,1)=35, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,48],[0,5,61],[1,3,9],[1,4,78],[2,3,99],[2,4,11],[2,5,19],[3,4,21],[3,5,19],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (2,4)=11 Succeeded, w=20\",\"Add (2,5)=19 Succeeded, w=39\",\"Add (3,5)=19 Succeeded, w=58\",\"Add (3,4)=21 Failed, w=58\",\"Add (0,1)=35 Succeeded, w=93\",\"Add (0,2)=48 Failed, w=93\",\"Add (0,5)=61 Failed, w=93\",\"Add (4,5)=62 Failed, w=93\",\"Add (1,4)=78 Failed, w=93\",\"Add (2,3)=99 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,48],[0,5,61],[1,3,9],[1,4,78],[2,3,99],[2,4,11],[2,5,19],[3,4,21],[3,5,19],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(2,4)=11,(2,5)=19,(3,5)=19,(3,4)=21,(0,1)=35,(0,2)=48,(0,5)=61,(4,5)=62,(1,4)=78,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=20\",\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=39\",\"Find(3)=1, Find(5)=2, Add (3,5)=19 Succeeded, w=58\",\"Find(3)=1, Find(4)=1, Add (3,4)=21 Failed, w=58\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=93\",\"Find(0)=1, Find(2)=1, Add (0,2)=48 Failed, w=93\",\"Find(0)=1, Find(5)=1, Add (0,5)=61 Failed, w=93\",\"Find(4)=1, Find(5)=1, Add (4,5)=62 Failed, w=93\",\"Find(1)=1, Find(4)=1, Add (1,4)=78 Failed, w=93\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,48],[0,5,61],[1,3,9],[1,4,78],[2,3,99],[2,4,11],[2,5,19],[3,4,21],[3,5,19],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(2,4)=11,(2,5)=19,(3,5)=19,(3,4)=21,(0,1)=35,(0,2)=48,(0,5)=61,(4,5)=62,(1,4)=78,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(3)=1, Find(5)=2, Add (3,5)=19 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(3)=1, Find(4)=1, Add (3,4)=21 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=1, Find(2)=1, Add (0,2)=48 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=61 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=62 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=78 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,74],[0,3,91],[1,3,91],[2,3,73],[2,4,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,91],[1,3,91],[2,3,73],[2,4,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":310}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,91],[1,3,91],[2,3,73],[2,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":310}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,91],[1,3,91],[2,3,73],[2,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=72, w=72\",\"Add (2,3)=73, w=145\",\"Add (0,2)=74, w=219\",\"Add (1,3)=91, w=310\"],\"Answer\":310}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,91],[1,3,91],[2,3,73],[2,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=72 Succeeded, w=72\",\"Add (2,3)=73 Succeeded, w=145\",\"Add (0,2)=74 Succeeded, w=219\",\"Add (0,3)=91 Failed, w=219\",\"Add (1,3)=91 Succeeded, w=310\"],\"Answer\":310}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,91],[1,3,91],[2,3,73],[2,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=72,(2,3)=73,(0,2)=74,(0,3)=91,(1,3)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=72 Succeeded, w=72\",\"Find(2)=2, Find(3)=3, Add (2,3)=73 Succeeded, w=145\",\"Find(0)=0, Find(2)=2, Add (0,2)=74 Succeeded, w=219\",\"Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=219\",\"Find(1)=1, Find(3)=2, Add (1,3)=91 Succeeded, w=310\"],\"Answer\":310}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,91],[1,3,91],[2,3,73],[2,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=72,(2,3)=73,(0,2)=74,(0,3)=91,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=72 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=73 Succeeded, w=145\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=74 Succeeded, w=219\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=219\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=91 Succeeded, w=310\"],\"Answer\":310}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,2,15],[0,3,53],[0,4,8],[1,2,47],[1,3,12],[1,4,60],[2,3,92],[2,4,65],[3,4,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,15],[0,3,53],[0,4,8],[1,2,47],[1,3,12],[1,4,60],[2,3,92],[2,4,65],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,15],[0,3,53],[0,4,8],[1,2,47],[1,3,12],[1,4,60],[2,3,92],[2,4,65],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,15],[0,3,53],[0,4,8],[1,2,47],[1,3,12],[1,4,60],[2,3,92],[2,4,65],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (0,4)=8, w=16\",\"Add (1,3)=12, w=28\",\"Add (0,2)=15, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,15],[0,3,53],[0,4,8],[1,2,47],[1,3,12],[1,4,60],[2,3,92],[2,4,65],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,4)=8 Succeeded, w=16\",\"Add (1,3)=12 Succeeded, w=28\",\"Add (0,2)=15 Succeeded, w=43\",\"Add (3,4)=23 Failed, w=43\",\"Add (1,2)=47 Failed, w=43\",\"Add (0,3)=53 Failed, w=43\",\"Add (1,4)=60 Failed, w=43\",\"Add (2,4)=65 Failed, w=43\",\"Add (2,3)=92 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,15],[0,3,53],[0,4,8],[1,2,47],[1,3,12],[1,4,60],[2,3,92],[2,4,65],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,4)=8,(1,3)=12,(0,2)=15,(3,4)=23,(1,2)=47,(0,3)=53,(1,4)=60,(2,4)=65,(2,3)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=16\",\"Find(1)=0, Find(3)=3, Add (1,3)=12 Succeeded, w=28\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=43\",\"Find(3)=0, Find(4)=0, Add (3,4)=23 Failed, w=43\",\"Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=43\",\"Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=43\",\"Find(1)=0, Find(4)=0, Add (1,4)=60 Failed, w=43\",\"Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=43\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,15],[0,3,53],[0,4,8],[1,2,47],[1,3,12],[1,4,60],[2,3,92],[2,4,65],[3,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,4)=8,(1,3)=12,(0,2)=15,(3,4)=23,(1,2)=47,(0,3)=53,(1,4)=60,(2,4)=65,(2,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=12 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=23 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=60 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=65 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,44],[0,4,45],[1,2,18],[2,3,36],[2,4,11],[3,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,4,45],[1,2,18],[2,3,36],[2,4,11],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,4,45],[1,2,18],[2,3,36],[2,4,11],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,4,45],[1,2,18],[2,3,36],[2,4,11],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (2,4)=11, w=16\",\"Add (1,2)=18, w=34\",\"Add (0,2)=44, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,4,45],[1,2,18],[2,3,36],[2,4,11],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (2,4)=11 Succeeded, w=16\",\"Add (1,2)=18 Succeeded, w=34\",\"Add (2,3)=36 Failed, w=34\",\"Add (0,2)=44 Succeeded, w=78\",\"Add (0,4)=45 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,4,45],[1,2,18],[2,3,36],[2,4,11],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(2,4)=11,(1,2)=18,(2,3)=36,(0,2)=44,(0,4)=45]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=3, Add (2,4)=11 Succeeded, w=16\",\"Find(1)=1, Find(2)=3, Add (1,2)=18 Succeeded, w=34\",\"Find(2)=3, Find(3)=3, Add (2,3)=36 Failed, w=34\",\"Find(0)=0, Find(2)=3, Add (0,2)=44 Succeeded, w=78\",\"Find(0)=3, Find(4)=3, Add (0,4)=45 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,4,45],[1,2,18],[2,3,36],[2,4,11],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(2,4)=11,(1,2)=18,(2,3)=36,(0,2)=44,(0,4)=45]\",\"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: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(2)=3, Add (1,2)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=36 Failed, w=34\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(2)=3, Add (0,2)=44 Succeeded, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=45 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,80],[0,4,32],[1,2,59],[1,3,26],[1,4,69],[1,5,17],[3,5,95],[4,5,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,4,32],[1,2,59],[1,3,26],[1,4,69],[1,5,17],[3,5,95],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,4,32],[1,2,59],[1,3,26],[1,4,69],[1,5,17],[3,5,95],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,4,32],[1,2,59],[1,3,26],[1,4,69],[1,5,17],[3,5,95],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=17, w=17\",\"Add (1,3)=26, w=43\",\"Add (0,4)=32, w=75\",\"Add (4,5)=39, w=114\",\"Add (1,2)=59, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,4,32],[1,2,59],[1,3,26],[1,4,69],[1,5,17],[3,5,95],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=17 Succeeded, w=17\",\"Add (1,3)=26 Succeeded, w=43\",\"Add (0,4)=32 Succeeded, w=75\",\"Add (4,5)=39 Succeeded, w=114\",\"Add (1,2)=59 Succeeded, w=173\",\"Add (1,4)=69 Failed, w=173\",\"Add (0,1)=80 Failed, w=173\",\"Add (3,5)=95 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,4,32],[1,2,59],[1,3,26],[1,4,69],[1,5,17],[3,5,95],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=17,(1,3)=26,(0,4)=32,(4,5)=39,(1,2)=59,(1,4)=69,(0,1)=80,(3,5)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=43\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=75\",\"Find(4)=0, Find(5)=1, Add (4,5)=39 Succeeded, w=114\",\"Find(1)=0, Find(2)=2, Add (1,2)=59 Succeeded, w=173\",\"Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=173\",\"Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=173\",\"Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,4,32],[1,2,59],[1,3,26],[1,4,69],[1,5,17],[3,5,95],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=17,(1,3)=26,(0,4)=32,(4,5)=39,(1,2)=59,(1,4)=69,(0,1)=80,(3,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 1}, Find(4)=0, Find(5)=1, Add (4,5)=39 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1}, Find(1)=0, Find(2)=2, Add (1,2)=59 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1}, Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,82],[0,2,37],[0,3,62],[1,2,82],[2,3,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,37],[0,3,62],[1,2,82],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,37],[0,3,62],[1,2,82],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,37],[0,3,62],[1,2,82],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (0,2)=37, w=55\",\"Add (0,1)=82, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,37],[0,3,62],[1,2,82],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (0,2)=37 Succeeded, w=55\",\"Add (0,3)=62 Failed, w=55\",\"Add (0,1)=82 Succeeded, w=137\",\"Add (1,2)=82 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,37],[0,3,62],[1,2,82],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(0,2)=37,(0,3)=62,(0,1)=82,(1,2)=82]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=55\",\"Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=55\",\"Find(0)=2, Find(1)=1, Add (0,1)=82 Succeeded, w=137\",\"Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,2,37],[0,3,62],[1,2,82],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(0,2)=37,(0,3)=62,(0,1)=82,(1,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=55\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=62 Failed, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=82 Succeeded, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,54],[0,2,94],[0,3,94],[1,2,22],[1,3,35],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,94],[0,3,94],[1,2,22],[1,3,35],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,94],[0,3,94],[1,2,22],[1,3,35],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,94],[0,3,94],[1,2,22],[1,3,35],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22, w=22\",\"Add (1,3)=35, w=57\",\"Add (0,1)=54, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,94],[0,3,94],[1,2,22],[1,3,35],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22 Succeeded, w=22\",\"Add (1,3)=35 Succeeded, w=57\",\"Add (0,1)=54 Succeeded, w=111\",\"Add (2,3)=56 Failed, w=111\",\"Add (0,2)=94 Failed, w=111\",\"Add (0,3)=94 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,94],[0,3,94],[1,2,22],[1,3,35],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(1,3)=35,(0,1)=54,(2,3)=56,(0,2)=94,(0,3)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=57\",\"Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=111\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=111\",\"Find(0)=1, Find(2)=1, Add (0,2)=94 Failed, w=111\",\"Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,94],[0,3,94],[1,2,22],[1,3,35],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(1,3)=35,(0,1)=54,(2,3)=56,(0,2)=94,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=94 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,67],[0,2,80],[0,3,47],[1,2,28],[1,3,31],[2,3,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,80],[0,3,47],[1,2,28],[1,3,31],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,80],[0,3,47],[1,2,28],[1,3,31],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,80],[0,3,47],[1,2,28],[1,3,31],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=28, w=28\",\"Add (1,3)=31, w=59\",\"Add (0,3)=47, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,80],[0,3,47],[1,2,28],[1,3,31],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=28 Succeeded, w=28\",\"Add (1,3)=31 Succeeded, w=59\",\"Add (2,3)=43 Failed, w=59\",\"Add (0,3)=47 Succeeded, w=106\",\"Add (0,1)=67 Failed, w=106\",\"Add (0,2)=80 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,80],[0,3,47],[1,2,28],[1,3,31],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=28,(1,3)=31,(2,3)=43,(0,3)=47,(0,1)=67,(0,2)=80]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=59\",\"Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=59\",\"Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=106\",\"Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=106\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,80],[0,3,47],[1,2,28],[1,3,31],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=28,(1,3)=31,(2,3)=43,(0,3)=47,(0,1)=67,(0,2)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=43 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,17],[0,3,28],[1,2,50],[1,3,100],[2,3,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,17],[0,3,28],[1,2,50],[1,3,100],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,17],[0,3,28],[1,2,50],[1,3,100],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,17],[0,3,28],[1,2,50],[1,3,100],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17, w=17\",\"Add (0,3)=28, w=45\",\"Add (1,2)=50, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,17],[0,3,28],[1,2,50],[1,3,100],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17 Succeeded, w=17\",\"Add (0,3)=28 Succeeded, w=45\",\"Add (1,2)=50 Succeeded, w=95\",\"Add (2,3)=91 Failed, w=95\",\"Add (1,3)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,17],[0,3,28],[1,2,50],[1,3,100],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,3)=28,(1,2)=50,(2,3)=91,(1,3)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=45\",\"Find(1)=1, Find(2)=0, Add (1,2)=50 Succeeded, w=95\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=95\",\"Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,17],[0,3,28],[1,2,50],[1,3,100],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,3)=28,(1,2)=50,(2,3)=91,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=50 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,81],[0,2,29],[0,3,7],[0,4,21],[0,5,80],[0,6,100],[0,7,35],[1,2,47],[1,3,48],[1,5,47],[1,6,87],[1,7,11],[2,3,9],[2,4,98],[2,5,40],[2,6,18],[3,4,47],[3,5,46],[3,6,85],[3,7,87],[4,5,49],[4,7,84],[5,6,3],[6,7,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,29],[0,3,7],[0,4,21],[0,5,80],[0,6,100],[0,7,35],[1,2,47],[1,3,48],[1,5,47],[1,6,87],[1,7,11],[2,3,9],[2,4,98],[2,5,40],[2,6,18],[3,4,47],[3,5,46],[3,6,85],[3,7,87],[4,5,49],[4,7,84],[5,6,3],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,29],[0,3,7],[0,4,21],[0,5,80],[0,6,100],[0,7,35],[1,2,47],[1,3,48],[1,5,47],[1,6,87],[1,7,11],[2,3,9],[2,4,98],[2,5,40],[2,6,18],[3,4,47],[3,5,46],[3,6,85],[3,7,87],[4,5,49],[4,7,84],[5,6,3],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,7)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (0,7)\"],\"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\":[[0,1,81],[0,2,29],[0,3,7],[0,4,21],[0,5,80],[0,6,100],[0,7,35],[1,2,47],[1,3,48],[1,5,47],[1,6,87],[1,7,11],[2,3,9],[2,4,98],[2,5,40],[2,6,18],[3,4,47],[3,5,46],[3,6,85],[3,7,87],[4,5,49],[4,7,84],[5,6,3],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=3, w=3\",\"Add (0,3)=7, w=10\",\"Add (2,3)=9, w=19\",\"Add (1,7)=11, w=30\",\"Add (2,6)=18, w=48\",\"Add (0,4)=21, w=69\",\"Add (0,7)=35, 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\":[[0,1,81],[0,2,29],[0,3,7],[0,4,21],[0,5,80],[0,6,100],[0,7,35],[1,2,47],[1,3,48],[1,5,47],[1,6,87],[1,7,11],[2,3,9],[2,4,98],[2,5,40],[2,6,18],[3,4,47],[3,5,46],[3,6,85],[3,7,87],[4,5,49],[4,7,84],[5,6,3],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=3 Succeeded, w=3\",\"Add (0,3)=7 Succeeded, w=10\",\"Add (2,3)=9 Succeeded, w=19\",\"Add (1,7)=11 Succeeded, w=30\",\"Add (2,6)=18 Succeeded, w=48\",\"Add (0,4)=21 Succeeded, w=69\",\"Add (0,2)=29 Failed, w=69\",\"Add (0,7)=35 Succeeded, w=104\",\"Add (2,5)=40 Failed, w=104\",\"Add (3,5)=46 Failed, w=104\",\"Add (1,2)=47 Failed, w=104\",\"Add (1,5)=47 Failed, w=104\",\"Add (3,4)=47 Failed, w=104\",\"Add (1,3)=48 Failed, w=104\",\"Add (4,5)=49 Failed, w=104\",\"Add (6,7)=72 Failed, w=104\",\"Add (0,5)=80 Failed, w=104\",\"Add (0,1)=81 Failed, w=104\",\"Add (4,7)=84 Failed, w=104\",\"Add (3,6)=85 Failed, w=104\",\"Add (1,6)=87 Failed, w=104\",\"Add (3,7)=87 Failed, w=104\",\"Add (2,4)=98 Failed, w=104\",\"Add (0,6)=100 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\":[[0,1,81],[0,2,29],[0,3,7],[0,4,21],[0,5,80],[0,6,100],[0,7,35],[1,2,47],[1,3,48],[1,5,47],[1,6,87],[1,7,11],[2,3,9],[2,4,98],[2,5,40],[2,6,18],[3,4,47],[3,5,46],[3,6,85],[3,7,87],[4,5,49],[4,7,84],[5,6,3],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=3,(0,3)=7,(2,3)=9,(1,7)=11,(2,6)=18,(0,4)=21,(0,2)=29,(0,7)=35,(2,5)=40,(3,5)=46,(1,2)=47,(1,5)=47,(3,4)=47,(1,3)=48,(4,5)=49,(6,7)=72,(0,5)=80,(0,1)=81,(4,7)=84,(3,6)=85,(1,6)=87,(3,7)=87,(2,4)=98,(0,6)=100]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=10\",\"Find(2)=2, Find(3)=0, Add (2,3)=9 Succeeded, w=19\",\"Find(1)=1, Find(7)=7, Add (1,7)=11 Succeeded, w=30\",\"Find(2)=0, Find(6)=5, Add (2,6)=18 Succeeded, w=48\",\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=69\",\"Find(0)=0, Find(2)=0, Add (0,2)=29 Failed, w=69\",\"Find(0)=0, Find(7)=1, Add (0,7)=35 Succeeded, w=104\",\"Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=104\",\"Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=104\",\"Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=104\",\"Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=104\",\"Find(3)=0, Find(4)=0, Add (3,4)=47 Failed, w=104\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=104\",\"Find(4)=0, Find(5)=0, Add (4,5)=49 Failed, w=104\",\"Find(6)=0, Find(7)=0, Add (6,7)=72 Failed, w=104\",\"Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=104\",\"Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=104\",\"Find(4)=0, Find(7)=0, Add (4,7)=84 Failed, w=104\",\"Find(3)=0, Find(6)=0, Add (3,6)=85 Failed, w=104\",\"Find(1)=0, Find(6)=0, Add (1,6)=87 Failed, w=104\",\"Find(3)=0, Find(7)=0, Add (3,7)=87 Failed, w=104\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=104\",\"Find(0)=0, Find(6)=0, Add (0,6)=100 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\":[[0,1,81],[0,2,29],[0,3,7],[0,4,21],[0,5,80],[0,6,100],[0,7,35],[1,2,47],[1,3,48],[1,5,47],[1,6,87],[1,7,11],[2,3,9],[2,4,98],[2,5,40],[2,6,18],[3,4,47],[3,5,46],[3,6,85],[3,7,87],[4,5,49],[4,7,84],[5,6,3],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=3,(0,3)=7,(2,3)=9,(1,7)=11,(2,6)=18,(0,4)=21,(0,2)=29,(0,7)=35,(2,5)=40,(3,5)=46,(1,2)=47,(1,5)=47,(3,4)=47,(1,3)=48,(4,5)=49,(6,7)=72,(0,5)=80,(0,1)=81,(4,7)=84,(3,6)=85,(1,6)=87,(3,7)=87,(2,4)=98,(0,6)=100]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 5, 7: 7}, Find(2)=2, Find(3)=0, Add (2,3)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 5, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 5, 7: 1}, Find(2)=0, Find(6)=5, Add (2,6)=18 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(0)=0, Find(2)=0, Add (0,2)=29 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=35 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(3)=0, Find(5)=0, Add (3,5)=46 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(3)=0, Find(4)=0, Add (3,4)=47 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 1}, Find(4)=0, Find(5)=0, Add (4,5)=49 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=72 Failed, w=104\",\"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)=80 Failed, w=104\",\"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)=81 Failed, w=104\",\"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)=84 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=85 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=87 Failed, w=104\",\"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=104\",\"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)=98 Failed, w=104\",\"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)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,22],[0,5,44],[0,7,76],[1,4,16],[1,6,97],[2,5,29],[2,7,4],[3,4,5],[4,6,67],[4,7,16],[5,7,74],[6,7,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,5,44],[0,7,76],[1,4,16],[1,6,97],[2,5,29],[2,7,4],[3,4,5],[4,6,67],[4,7,16],[5,7,74],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,5,44],[0,7,76],[1,4,16],[1,6,97],[2,5,29],[2,7,4],[3,4,5],[4,6,67],[4,7,16],[5,7,74],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (4,7)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (4,6)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,5,44],[0,7,76],[1,4,16],[1,6,97],[2,5,29],[2,7,4],[3,4,5],[4,6,67],[4,7,16],[5,7,74],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=4, w=4\",\"Add (3,4)=5, w=9\",\"Add (1,4)=16, w=25\",\"Add (4,7)=16, w=41\",\"Add (0,1)=22, w=63\",\"Add (2,5)=29, w=92\",\"Add (4,6)=67, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,5,44],[0,7,76],[1,4,16],[1,6,97],[2,5,29],[2,7,4],[3,4,5],[4,6,67],[4,7,16],[5,7,74],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=4 Succeeded, w=4\",\"Add (3,4)=5 Succeeded, w=9\",\"Add (1,4)=16 Succeeded, w=25\",\"Add (4,7)=16 Succeeded, w=41\",\"Add (0,1)=22 Succeeded, w=63\",\"Add (2,5)=29 Succeeded, w=92\",\"Add (0,5)=44 Failed, w=92\",\"Add (4,6)=67 Succeeded, w=159\",\"Add (6,7)=67 Failed, w=159\",\"Add (5,7)=74 Failed, w=159\",\"Add (0,7)=76 Failed, w=159\",\"Add (1,6)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,5,44],[0,7,76],[1,4,16],[1,6,97],[2,5,29],[2,7,4],[3,4,5],[4,6,67],[4,7,16],[5,7,74],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=4,(3,4)=5,(1,4)=16,(4,7)=16,(0,1)=22,(2,5)=29,(0,5)=44,(4,6)=67,(6,7)=67,(5,7)=74,(0,7)=76,(1,6)=97]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=4 Succeeded, w=4\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=9\",\"Find(1)=1, Find(4)=3, Add (1,4)=16 Succeeded, w=25\",\"Find(4)=3, Find(7)=2, Add (4,7)=16 Succeeded, w=41\",\"Find(0)=0, Find(1)=3, Add (0,1)=22 Succeeded, w=63\",\"Find(2)=3, Find(5)=5, Add (2,5)=29 Succeeded, w=92\",\"Find(0)=3, Find(5)=3, Add (0,5)=44 Failed, w=92\",\"Find(4)=3, Find(6)=6, Add (4,6)=67 Succeeded, w=159\",\"Find(6)=3, Find(7)=3, Add (6,7)=67 Failed, w=159\",\"Find(5)=3, Find(7)=3, Add (5,7)=74 Failed, w=159\",\"Find(0)=3, Find(7)=3, Add (0,7)=76 Failed, w=159\",\"Find(1)=3, Find(6)=3, Add (1,6)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,5,44],[0,7,76],[1,4,16],[1,6,97],[2,5,29],[2,7,4],[3,4,5],[4,6,67],[4,7,16],[5,7,74],[6,7,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=4,(3,4)=5,(1,4)=16,(4,7)=16,(0,1)=22,(2,5)=29,(0,5)=44,(4,6)=67,(6,7)=67,(5,7)=74,(0,7)=76,(1,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(4)=3, Add (1,4)=16 Succeeded, w=25\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(4)=3, Find(7)=2, Add (4,7)=16 Succeeded, w=41\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(0)=0, Find(1)=3, Add (0,1)=22 Succeeded, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(2)=3, Find(5)=5, Add (2,5)=29 Succeeded, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(0)=3, Find(5)=3, Add (0,5)=44 Failed, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(4)=3, Find(6)=6, Add (4,6)=67 Succeeded, w=159\",\"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)=67 Failed, w=159\",\"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)=74 Failed, w=159\",\"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)=76 Failed, w=159\",\"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)=97 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,10],[0,5,66],[0,6,46],[0,7,2],[1,2,70],[1,3,74],[1,4,54],[1,5,66],[1,6,54],[1,7,40],[2,3,80],[2,4,75],[2,5,28],[3,5,44],[3,7,65],[4,6,23],[4,7,72],[5,6,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,10],[0,5,66],[0,6,46],[0,7,2],[1,2,70],[1,3,74],[1,4,54],[1,5,66],[1,6,54],[1,7,40],[2,3,80],[2,4,75],[2,5,28],[3,5,44],[3,7,65],[4,6,23],[4,7,72],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,10],[0,5,66],[0,6,46],[0,7,2],[1,2,70],[1,3,74],[1,4,54],[1,5,66],[1,6,54],[1,7,40],[2,3,80],[2,4,75],[2,5,28],[3,5,44],[3,7,65],[4,6,23],[4,7,72],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (0,3)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (1,7)\",\"Add (3,5)\",\"Add (0,6)\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,10],[0,5,66],[0,6,46],[0,7,2],[1,2,70],[1,3,74],[1,4,54],[1,5,66],[1,6,54],[1,7,40],[2,3,80],[2,4,75],[2,5,28],[3,5,44],[3,7,65],[4,6,23],[4,7,72],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=2, w=2\",\"Add (0,3)=10, w=12\",\"Add (4,6)=23, w=35\",\"Add (2,5)=28, w=63\",\"Add (1,7)=40, w=103\",\"Add (3,5)=44, w=147\",\"Add (0,6)=46, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,10],[0,5,66],[0,6,46],[0,7,2],[1,2,70],[1,3,74],[1,4,54],[1,5,66],[1,6,54],[1,7,40],[2,3,80],[2,4,75],[2,5,28],[3,5,44],[3,7,65],[4,6,23],[4,7,72],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=2 Succeeded, w=2\",\"Add (0,3)=10 Succeeded, w=12\",\"Add (4,6)=23 Succeeded, w=35\",\"Add (2,5)=28 Succeeded, w=63\",\"Add (1,7)=40 Succeeded, w=103\",\"Add (3,5)=44 Succeeded, w=147\",\"Add (0,6)=46 Succeeded, w=193\",\"Add (1,4)=54 Failed, w=193\",\"Add (1,6)=54 Failed, w=193\",\"Add (3,7)=65 Failed, w=193\",\"Add (0,5)=66 Failed, w=193\",\"Add (1,5)=66 Failed, w=193\",\"Add (1,2)=70 Failed, w=193\",\"Add (4,7)=72 Failed, w=193\",\"Add (1,3)=74 Failed, w=193\",\"Add (2,4)=75 Failed, w=193\",\"Add (2,3)=80 Failed, w=193\",\"Add (5,6)=89 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,10],[0,5,66],[0,6,46],[0,7,2],[1,2,70],[1,3,74],[1,4,54],[1,5,66],[1,6,54],[1,7,40],[2,3,80],[2,4,75],[2,5,28],[3,5,44],[3,7,65],[4,6,23],[4,7,72],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=2,(0,3)=10,(4,6)=23,(2,5)=28,(1,7)=40,(3,5)=44,(0,6)=46,(1,4)=54,(1,6)=54,(3,7)=65,(0,5)=66,(1,5)=66,(1,2)=70,(4,7)=72,(1,3)=74,(2,4)=75,(2,3)=80,(5,6)=89]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=12\",\"Find(4)=4, Find(6)=6, Add (4,6)=23 Succeeded, w=35\",\"Find(2)=2, Find(5)=5, Add (2,5)=28 Succeeded, w=63\",\"Find(1)=1, Find(7)=0, Add (1,7)=40 Succeeded, w=103\",\"Find(3)=0, Find(5)=2, Add (3,5)=44 Succeeded, w=147\",\"Find(0)=0, Find(6)=4, Add (0,6)=46 Succeeded, w=193\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=193\",\"Find(1)=0, Find(6)=0, Add (1,6)=54 Failed, w=193\",\"Find(3)=0, Find(7)=0, Add (3,7)=65 Failed, w=193\",\"Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=193\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=193\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=193\",\"Find(4)=0, Find(7)=0, Add (4,7)=72 Failed, w=193\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=193\",\"Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=193\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=193\",\"Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,10],[0,5,66],[0,6,46],[0,7,2],[1,2,70],[1,3,74],[1,4,54],[1,5,66],[1,6,54],[1,7,40],[2,3,80],[2,4,75],[2,5,28],[3,5,44],[3,7,65],[4,6,23],[4,7,72],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=2,(0,3)=10,(4,6)=23,(2,5)=28,(1,7)=40,(3,5)=44,(0,6)=46,(1,4)=54,(1,6)=54,(3,7)=65,(0,5)=66,(1,5)=66,(1,2)=70,(4,7)=72,(1,3)=74,(2,4)=75,(2,3)=80,(5,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 0}, Find(4)=4, Find(6)=6, Add (4,6)=23 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 4, 7: 0}, Find(2)=2, Find(5)=5, Add (2,5)=28 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 4, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=40 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 2, 6: 4, 7: 0}, Find(3)=0, Find(5)=2, Add (3,5)=44 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 4, 7: 0}, Find(0)=0, Find(6)=4, Add (0,6)=46 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 4, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=54 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=65 Failed, w=193\",\"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)=66 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=193\",\"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)=70 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=72 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=193\",\"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)=75 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,30],[0,2,63],[0,3,31],[1,3,96],[2,3,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,63],[0,3,31],[1,3,96],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,63],[0,3,31],[1,3,96],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,63],[0,3,31],[1,3,96],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (0,1)=30, w=34\",\"Add (0,3)=31, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,63],[0,3,31],[1,3,96],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (0,1)=30 Succeeded, w=34\",\"Add (0,3)=31 Succeeded, w=65\",\"Add (0,2)=63 Failed, w=65\",\"Add (1,3)=96 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,63],[0,3,31],[1,3,96],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,1)=30,(0,3)=31,(0,2)=63,(1,3)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=34\",\"Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=65\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=65\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,63],[0,3,31],[1,3,96],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,1)=30,(0,3)=31,(0,2)=63,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,2,86],[0,4,93],[0,5,5],[1,2,70],[1,3,53],[1,4,5],[1,5,22],[2,3,42],[2,4,80],[2,5,72],[3,4,95],[3,5,36],[4,5,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,86],[0,4,93],[0,5,5],[1,2,70],[1,3,53],[1,4,5],[1,5,22],[2,3,42],[2,4,80],[2,5,72],[3,4,95],[3,5,36],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,86],[0,4,93],[0,5,5],[1,2,70],[1,3,53],[1,4,5],[1,5,22],[2,3,42],[2,4,80],[2,5,72],[3,4,95],[3,5,36],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (2,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,86],[0,4,93],[0,5,5],[1,2,70],[1,3,53],[1,4,5],[1,5,22],[2,3,42],[2,4,80],[2,5,72],[3,4,95],[3,5,36],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (1,4)=5, w=10\",\"Add (0,1)=10, w=20\",\"Add (3,5)=36, w=56\",\"Add (2,3)=42, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,86],[0,4,93],[0,5,5],[1,2,70],[1,3,53],[1,4,5],[1,5,22],[2,3,42],[2,4,80],[2,5,72],[3,4,95],[3,5,36],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (1,4)=5 Succeeded, w=10\",\"Add (0,1)=10 Succeeded, w=20\",\"Add (1,5)=22 Failed, w=20\",\"Add (3,5)=36 Succeeded, w=56\",\"Add (2,3)=42 Succeeded, w=98\",\"Add (4,5)=48 Failed, w=98\",\"Add (1,3)=53 Failed, w=98\",\"Add (1,2)=70 Failed, w=98\",\"Add (2,5)=72 Failed, w=98\",\"Add (2,4)=80 Failed, w=98\",\"Add (0,2)=86 Failed, w=98\",\"Add (0,4)=93 Failed, w=98\",\"Add (3,4)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,86],[0,4,93],[0,5,5],[1,2,70],[1,3,53],[1,4,5],[1,5,22],[2,3,42],[2,4,80],[2,5,72],[3,4,95],[3,5,36],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(1,4)=5,(0,1)=10,(1,5)=22,(3,5)=36,(2,3)=42,(4,5)=48,(1,3)=53,(1,2)=70,(2,5)=72,(2,4)=80,(0,2)=86,(0,4)=93,(3,4)=95]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=20\",\"Find(1)=0, Find(5)=0, Add (1,5)=22 Failed, w=20\",\"Find(3)=3, Find(5)=0, Add (3,5)=36 Succeeded, w=56\",\"Find(2)=2, Find(3)=0, Add (2,3)=42 Succeeded, w=98\",\"Find(4)=0, Find(5)=0, Add (4,5)=48 Failed, w=98\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=98\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=98\",\"Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=98\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=98\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=98\",\"Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=98\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,86],[0,4,93],[0,5,5],[1,2,70],[1,3,53],[1,4,5],[1,5,22],[2,3,42],[2,4,80],[2,5,72],[3,4,95],[3,5,36],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(1,4)=5,(0,1)=10,(1,5)=22,(3,5)=36,(2,3)=42,(4,5)=48,(1,3)=53,(1,2)=70,(2,5)=72,(2,4)=80,(0,2)=86,(0,4)=93,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=22 Failed, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=36 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=42 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=48 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,14],[0,2,89],[0,4,36],[0,5,85],[1,2,81],[1,3,12],[1,4,25],[1,5,10],[1,6,16],[2,3,21],[2,4,63],[2,5,87],[2,6,30],[3,4,65],[3,5,43],[3,6,64],[4,5,78],[4,6,21],[5,6,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,2,89],[0,4,36],[0,5,85],[1,2,81],[1,3,12],[1,4,25],[1,5,10],[1,6,16],[2,3,21],[2,4,63],[2,5,87],[2,6,30],[3,4,65],[3,5,43],[3,6,64],[4,5,78],[4,6,21],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"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],[0,2,89],[0,4,36],[0,5,85],[1,2,81],[1,3,12],[1,4,25],[1,5,10],[1,6,16],[2,3,21],[2,4,63],[2,5,87],[2,6,30],[3,4,65],[3,5,43],[3,6,64],[4,5,78],[4,6,21],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,6)\",\"Add (2,3)\",\"Add (4,6)\"],\"Answer\":94}",
"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],[0,2,89],[0,4,36],[0,5,85],[1,2,81],[1,3,12],[1,4,25],[1,5,10],[1,6,16],[2,3,21],[2,4,63],[2,5,87],[2,6,30],[3,4,65],[3,5,43],[3,6,64],[4,5,78],[4,6,21],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10, w=10\",\"Add (1,3)=12, w=22\",\"Add (0,1)=14, w=36\",\"Add (1,6)=16, w=52\",\"Add (2,3)=21, w=73\",\"Add (4,6)=21, w=94\"],\"Answer\":94}",
"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],[0,2,89],[0,4,36],[0,5,85],[1,2,81],[1,3,12],[1,4,25],[1,5,10],[1,6,16],[2,3,21],[2,4,63],[2,5,87],[2,6,30],[3,4,65],[3,5,43],[3,6,64],[4,5,78],[4,6,21],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10 Succeeded, w=10\",\"Add (1,3)=12 Succeeded, w=22\",\"Add (0,1)=14 Succeeded, w=36\",\"Add (1,6)=16 Succeeded, w=52\",\"Add (2,3)=21 Succeeded, w=73\",\"Add (4,6)=21 Succeeded, w=94\",\"Add (1,4)=25 Failed, w=94\",\"Add (2,6)=30 Failed, w=94\",\"Add (5,6)=30 Failed, w=94\",\"Add (0,4)=36 Failed, w=94\",\"Add (3,5)=43 Failed, w=94\",\"Add (2,4)=63 Failed, w=94\",\"Add (3,6)=64 Failed, w=94\",\"Add (3,4)=65 Failed, w=94\",\"Add (4,5)=78 Failed, w=94\",\"Add (1,2)=81 Failed, w=94\",\"Add (0,5)=85 Failed, w=94\",\"Add (2,5)=87 Failed, w=94\",\"Add (0,2)=89 Failed, w=94\"],\"Answer\":94}",
"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],[0,2,89],[0,4,36],[0,5,85],[1,2,81],[1,3,12],[1,4,25],[1,5,10],[1,6,16],[2,3,21],[2,4,63],[2,5,87],[2,6,30],[3,4,65],[3,5,43],[3,6,64],[4,5,78],[4,6,21],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(1,3)=12,(0,1)=14,(1,6)=16,(2,3)=21,(4,6)=21,(1,4)=25,(2,6)=30,(5,6)=30,(0,4)=36,(3,5)=43,(2,4)=63,(3,6)=64,(3,4)=65,(4,5)=78,(1,2)=81,(0,5)=85,(2,5)=87,(0,2)=89]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=36\",\"Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=52\",\"Find(2)=2, Find(3)=1, Add (2,3)=21 Succeeded, w=73\",\"Find(4)=4, Find(6)=1, Add (4,6)=21 Succeeded, w=94\",\"Find(1)=1, Find(4)=1, Add (1,4)=25 Failed, w=94\",\"Find(2)=1, Find(6)=1, Add (2,6)=30 Failed, w=94\",\"Find(5)=1, Find(6)=1, Add (5,6)=30 Failed, w=94\",\"Find(0)=1, Find(4)=1, Add (0,4)=36 Failed, w=94\",\"Find(3)=1, Find(5)=1, Add (3,5)=43 Failed, w=94\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=94\",\"Find(3)=1, Find(6)=1, Add (3,6)=64 Failed, w=94\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=94\",\"Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=94\",\"Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=94\",\"Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=94\",\"Find(2)=1, Find(5)=1, Add (2,5)=87 Failed, w=94\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=94\"],\"Answer\":94}",
"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],[0,2,89],[0,4,36],[0,5,85],[1,2,81],[1,3,12],[1,4,25],[1,5,10],[1,6,16],[2,3,21],[2,4,63],[2,5,87],[2,6,30],[3,4,65],[3,5,43],[3,6,64],[4,5,78],[4,6,21],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(1,3)=12,(0,1)=14,(1,6)=16,(2,3)=21,(4,6)=21,(1,4)=25,(2,6)=30,(5,6)=30,(0,4)=36,(3,5)=43,(2,4)=63,(3,6)=64,(3,4)=65,(4,5)=78,(1,2)=81,(0,5)=85,(2,5)=87,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=2, Find(3)=1, Add (2,3)=21 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=21 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=25 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=30 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=30 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=36 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=43 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=64 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=85 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=87 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,40],[0,3,100],[1,3,51],[2,3,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,100],[1,3,51],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,100],[1,3,51],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,100],[1,3,51],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=40, w=40\",\"Add (1,3)=51, w=91\",\"Add (2,3)=86, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,100],[1,3,51],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=40 Succeeded, w=40\",\"Add (1,3)=51 Succeeded, w=91\",\"Add (2,3)=86 Succeeded, w=177\",\"Add (0,3)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,100],[1,3,51],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=40,(1,3)=51,(2,3)=86,(0,3)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=40\",\"Find(1)=0, Find(3)=3, Add (1,3)=51 Succeeded, w=91\",\"Find(2)=2, Find(3)=0, Add (2,3)=86 Succeeded, w=177\",\"Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,3,100],[1,3,51],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=40,(1,3)=51,(2,3)=86,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=51 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=86 Succeeded, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,25],[0,2,92],[0,3,92],[0,4,52],[1,2,50],[1,3,51],[1,4,97],[2,3,53],[2,4,33],[3,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,92],[0,3,92],[0,4,52],[1,2,50],[1,3,51],[1,4,97],[2,3,53],[2,4,33],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,92],[0,3,92],[0,4,52],[1,2,50],[1,3,51],[1,4,97],[2,3,53],[2,4,33],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,92],[0,3,92],[0,4,52],[1,2,50],[1,3,51],[1,4,97],[2,3,53],[2,4,33],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21, w=21\",\"Add (0,1)=25, w=46\",\"Add (2,4)=33, w=79\",\"Add (1,2)=50, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,92],[0,3,92],[0,4,52],[1,2,50],[1,3,51],[1,4,97],[2,3,53],[2,4,33],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21 Succeeded, w=21\",\"Add (0,1)=25 Succeeded, w=46\",\"Add (2,4)=33 Succeeded, w=79\",\"Add (1,2)=50 Succeeded, w=129\",\"Add (1,3)=51 Failed, w=129\",\"Add (0,4)=52 Failed, w=129\",\"Add (2,3)=53 Failed, w=129\",\"Add (0,2)=92 Failed, w=129\",\"Add (0,3)=92 Failed, w=129\",\"Add (1,4)=97 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,92],[0,3,92],[0,4,52],[1,2,50],[1,3,51],[1,4,97],[2,3,53],[2,4,33],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(0,1)=25,(2,4)=33,(1,2)=50,(1,3)=51,(0,4)=52,(2,3)=53,(0,2)=92,(0,3)=92,(1,4)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=46\",\"Find(2)=2, Find(4)=3, Add (2,4)=33 Succeeded, w=79\",\"Find(1)=0, Find(2)=3, Add (1,2)=50 Succeeded, w=129\",\"Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=129\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=129\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=129\",\"Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=129\",\"Find(0)=0, Find(3)=0, Add (0,3)=92 Failed, w=129\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,92],[0,3,92],[0,4,52],[1,2,50],[1,3,51],[1,4,97],[2,3,53],[2,4,33],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(0,1)=25,(2,4)=33,(1,2)=50,(1,3)=51,(0,4)=52,(2,3)=53,(0,2)=92,(0,3)=92,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=33 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(1)=0, Find(2)=3, Add (1,2)=50 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=92 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=92 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,89],[0,3,26],[2,3,24],[2,4,87],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,26],[2,3,24],[2,4,87],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,26],[2,3,24],[2,4,87],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,26],[2,3,24],[2,4,87],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=24, w=24\",\"Add (0,3)=26, w=50\",\"Add (3,4)=27, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,26],[2,3,24],[2,4,87],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=24 Succeeded, w=24\",\"Add (0,3)=26 Succeeded, w=50\",\"Add (3,4)=27 Succeeded, w=77\",\"Add (2,4)=87 Failed, w=77\",\"Add (0,2)=89 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,26],[2,3,24],[2,4,87],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=24,(0,3)=26,(3,4)=27,(2,4)=87,(0,2)=89]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=24\",\"Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=50\",\"Find(3)=2, Find(4)=4, Add (3,4)=27 Succeeded, w=77\",\"Find(2)=2, Find(4)=2, Add (2,4)=87 Failed, w=77\",\"Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,3,26],[2,3,24],[2,4,87],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=24,(0,3)=26,(3,4)=27,(2,4)=87,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=27 Succeeded, w=77\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=87 Failed, w=77\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=89 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,69],[0,2,1],[0,3,26],[1,2,60],[1,3,65],[2,4,60],[3,4,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,1],[0,3,26],[1,2,60],[1,3,65],[2,4,60],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,1],[0,3,26],[1,2,60],[1,3,65],[2,4,60],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,1],[0,3,26],[1,2,60],[1,3,65],[2,4,60],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (3,4)=14, w=15\",\"Add (0,3)=26, w=41\",\"Add (1,2)=60, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,1],[0,3,26],[1,2,60],[1,3,65],[2,4,60],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (3,4)=14 Succeeded, w=15\",\"Add (0,3)=26 Succeeded, w=41\",\"Add (1,2)=60 Succeeded, w=101\",\"Add (2,4)=60 Failed, w=101\",\"Add (1,3)=65 Failed, w=101\",\"Add (0,1)=69 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,1],[0,3,26],[1,2,60],[1,3,65],[2,4,60],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(3,4)=14,(0,3)=26,(1,2)=60,(2,4)=60,(1,3)=65,(0,1)=69]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=15\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=41\",\"Find(1)=1, Find(2)=0, Add (1,2)=60 Succeeded, w=101\",\"Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=101\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=101\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,1],[0,3,26],[1,2,60],[1,3,65],[2,4,60],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(3,4)=14,(0,3)=26,(1,2)=60,(2,4)=60,(1,3)=65,(0,1)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=1, Find(2)=0, Add (1,2)=60 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,91],[0,3,11],[0,4,94],[0,5,67],[0,6,59],[1,2,35],[1,3,56],[1,7,53],[2,3,49],[2,5,66],[2,6,13],[3,4,80],[3,5,39],[3,6,44],[3,7,50],[4,5,18],[4,6,15],[4,7,94],[5,6,27],[5,7,58],[6,7,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,11],[0,4,94],[0,5,67],[0,6,59],[1,2,35],[1,3,56],[1,7,53],[2,3,49],[2,5,66],[2,6,13],[3,4,80],[3,5,39],[3,6,44],[3,7,50],[4,5,18],[4,6,15],[4,7,94],[5,6,27],[5,7,58],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,11],[0,4,94],[0,5,67],[0,6,59],[1,2,35],[1,3,56],[1,7,53],[2,3,49],[2,5,66],[2,6,13],[3,4,80],[3,5,39],[3,6,44],[3,7,50],[4,5,18],[4,6,15],[4,7,94],[5,6,27],[5,7,58],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,6)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (3,7)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,11],[0,4,94],[0,5,67],[0,6,59],[1,2,35],[1,3,56],[1,7,53],[2,3,49],[2,5,66],[2,6,13],[3,4,80],[3,5,39],[3,6,44],[3,7,50],[4,5,18],[4,6,15],[4,7,94],[5,6,27],[5,7,58],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (2,6)=13, w=24\",\"Add (4,6)=15, w=39\",\"Add (4,5)=18, w=57\",\"Add (1,2)=35, w=92\",\"Add (3,5)=39, w=131\",\"Add (3,7)=50, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,11],[0,4,94],[0,5,67],[0,6,59],[1,2,35],[1,3,56],[1,7,53],[2,3,49],[2,5,66],[2,6,13],[3,4,80],[3,5,39],[3,6,44],[3,7,50],[4,5,18],[4,6,15],[4,7,94],[5,6,27],[5,7,58],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (2,6)=13 Succeeded, w=24\",\"Add (4,6)=15 Succeeded, w=39\",\"Add (4,5)=18 Succeeded, w=57\",\"Add (5,6)=27 Failed, w=57\",\"Add (1,2)=35 Succeeded, w=92\",\"Add (3,5)=39 Succeeded, w=131\",\"Add (3,6)=44 Failed, w=131\",\"Add (2,3)=49 Failed, w=131\",\"Add (3,7)=50 Succeeded, w=181\",\"Add (1,7)=53 Failed, w=181\",\"Add (1,3)=56 Failed, w=181\",\"Add (5,7)=58 Failed, w=181\",\"Add (0,6)=59 Failed, w=181\",\"Add (2,5)=66 Failed, w=181\",\"Add (0,5)=67 Failed, w=181\",\"Add (6,7)=74 Failed, w=181\",\"Add (3,4)=80 Failed, w=181\",\"Add (0,1)=91 Failed, w=181\",\"Add (0,4)=94 Failed, w=181\",\"Add (4,7)=94 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,11],[0,4,94],[0,5,67],[0,6,59],[1,2,35],[1,3,56],[1,7,53],[2,3,49],[2,5,66],[2,6,13],[3,4,80],[3,5,39],[3,6,44],[3,7,50],[4,5,18],[4,6,15],[4,7,94],[5,6,27],[5,7,58],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(2,6)=13,(4,6)=15,(4,5)=18,(5,6)=27,(1,2)=35,(3,5)=39,(3,6)=44,(2,3)=49,(3,7)=50,(1,7)=53,(1,3)=56,(5,7)=58,(0,6)=59,(2,5)=66,(0,5)=67,(6,7)=74,(3,4)=80,(0,1)=91,(0,4)=94,(4,7)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=24\",\"Find(4)=4, Find(6)=2, Add (4,6)=15 Succeeded, w=39\",\"Find(4)=2, Find(5)=5, Add (4,5)=18 Succeeded, w=57\",\"Find(5)=2, Find(6)=2, Add (5,6)=27 Failed, w=57\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=92\",\"Find(3)=0, Find(5)=2, Add (3,5)=39 Succeeded, w=131\",\"Find(3)=0, Find(6)=0, Add (3,6)=44 Failed, w=131\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=131\",\"Find(3)=0, Find(7)=7, Add (3,7)=50 Succeeded, w=181\",\"Find(1)=0, Find(7)=0, Add (1,7)=53 Failed, w=181\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=181\",\"Find(5)=0, Find(7)=0, Add (5,7)=58 Failed, w=181\",\"Find(0)=0, Find(6)=0, Add (0,6)=59 Failed, w=181\",\"Find(2)=0, Find(5)=0, Add (2,5)=66 Failed, w=181\",\"Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=181\",\"Find(6)=0, Find(7)=0, Add (6,7)=74 Failed, w=181\",\"Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=181\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=181\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=181\",\"Find(4)=0, Find(7)=0, Add (4,7)=94 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,11],[0,4,94],[0,5,67],[0,6,59],[1,2,35],[1,3,56],[1,7,53],[2,3,49],[2,5,66],[2,6,13],[3,4,80],[3,5,39],[3,6,44],[3,7,50],[4,5,18],[4,6,15],[4,7,94],[5,6,27],[5,7,58],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(2,6)=13,(4,6)=15,(4,5)=18,(5,6)=27,(1,2)=35,(3,5)=39,(3,6)=44,(2,3)=49,(3,7)=50,(1,7)=53,(1,3)=56,(5,7)=58,(0,6)=59,(2,5)=66,(0,5)=67,(6,7)=74,(3,4)=80,(0,1)=91,(0,4)=94,(4,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 7}, Find(4)=4, Find(6)=2, Add (4,6)=15 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 7}, Find(4)=2, Find(5)=5, Add (4,5)=18 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=2, Add (5,6)=27 Failed, w=57\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=92\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 2, 6: 2, 7: 7}, Find(3)=0, Find(5)=2, Add (3,5)=39 Succeeded, w=131\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 7}, Find(3)=0, Find(6)=0, Add (3,6)=44 Failed, w=131\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 7}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=131\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=50 Succeeded, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=53 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=58 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=59 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=66 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=74 Failed, w=181\",\"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)=80 Failed, w=181\",\"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=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=181\",\"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)=94 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,58],[0,2,19],[0,3,11],[0,4,16],[1,2,24],[1,3,54],[1,4,91],[2,3,53],[2,4,75],[3,4,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,19],[0,3,11],[0,4,16],[1,2,24],[1,3,54],[1,4,91],[2,3,53],[2,4,75],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,19],[0,3,11],[0,4,16],[1,2,24],[1,3,54],[1,4,91],[2,3,53],[2,4,75],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,19],[0,3,11],[0,4,16],[1,2,24],[1,3,54],[1,4,91],[2,3,53],[2,4,75],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (0,4)=16, w=27\",\"Add (0,2)=19, w=46\",\"Add (1,2)=24, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,19],[0,3,11],[0,4,16],[1,2,24],[1,3,54],[1,4,91],[2,3,53],[2,4,75],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (0,4)=16 Succeeded, w=27\",\"Add (0,2)=19 Succeeded, w=46\",\"Add (1,2)=24 Succeeded, w=70\",\"Add (2,3)=53 Failed, w=70\",\"Add (1,3)=54 Failed, w=70\",\"Add (0,1)=58 Failed, w=70\",\"Add (2,4)=75 Failed, w=70\",\"Add (3,4)=78 Failed, w=70\",\"Add (1,4)=91 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,19],[0,3,11],[0,4,16],[1,2,24],[1,3,54],[1,4,91],[2,3,53],[2,4,75],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,4)=16,(0,2)=19,(1,2)=24,(2,3)=53,(1,3)=54,(0,1)=58,(2,4)=75,(3,4)=78,(1,4)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=46\",\"Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=70\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=70\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=70\",\"Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=70\",\"Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=70\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=70\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,19],[0,3,11],[0,4,16],[1,2,24],[1,3,54],[1,4,91],[2,3,53],[2,4,75],[3,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,4)=16,(0,2)=19,(1,2)=24,(2,3)=53,(1,3)=54,(0,1)=58,(2,4)=75,(3,4)=78,(1,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,33],[1,2,88],[1,3,61],[2,3,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,33],[1,2,88],[1,3,61],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,33],[1,2,88],[1,3,61],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,33],[1,2,88],[1,3,61],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23, w=23\",\"Add (0,2)=33, w=56\",\"Add (1,3)=61, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,33],[1,2,88],[1,3,61],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23 Succeeded, w=23\",\"Add (0,2)=33 Succeeded, w=56\",\"Add (1,3)=61 Succeeded, w=117\",\"Add (1,2)=88 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,33],[1,2,88],[1,3,61],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(0,2)=33,(1,3)=61,(1,2)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=56\",\"Find(1)=1, Find(3)=2, Add (1,3)=61 Succeeded, w=117\",\"Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,33],[1,2,88],[1,3,61],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(0,2)=33,(1,3)=61,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=61 Succeeded, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,40],[0,2,16],[0,3,85],[0,4,100],[0,5,31],[1,2,94],[1,3,92],[1,4,48],[1,5,4],[2,3,11],[2,4,96],[2,5,91],[3,4,96],[3,5,35],[4,5,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,16],[0,3,85],[0,4,100],[0,5,31],[1,2,94],[1,3,92],[1,4,48],[1,5,4],[2,3,11],[2,4,96],[2,5,91],[3,4,96],[3,5,35],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,16],[0,3,85],[0,4,100],[0,5,31],[1,2,94],[1,3,92],[1,4,48],[1,5,4],[2,3,11],[2,4,96],[2,5,91],[3,4,96],[3,5,35],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,16],[0,3,85],[0,4,100],[0,5,31],[1,2,94],[1,3,92],[1,4,48],[1,5,4],[2,3,11],[2,4,96],[2,5,91],[3,4,96],[3,5,35],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (2,3)=11, w=15\",\"Add (0,2)=16, w=31\",\"Add (0,5)=31, w=62\",\"Add (1,4)=48, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,16],[0,3,85],[0,4,100],[0,5,31],[1,2,94],[1,3,92],[1,4,48],[1,5,4],[2,3,11],[2,4,96],[2,5,91],[3,4,96],[3,5,35],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (2,3)=11 Succeeded, w=15\",\"Add (0,2)=16 Succeeded, w=31\",\"Add (0,5)=31 Succeeded, w=62\",\"Add (3,5)=35 Failed, w=62\",\"Add (0,1)=40 Failed, w=62\",\"Add (1,4)=48 Succeeded, w=110\",\"Add (4,5)=60 Failed, w=110\",\"Add (0,3)=85 Failed, w=110\",\"Add (2,5)=91 Failed, w=110\",\"Add (1,3)=92 Failed, w=110\",\"Add (1,2)=94 Failed, w=110\",\"Add (2,4)=96 Failed, w=110\",\"Add (3,4)=96 Failed, w=110\",\"Add (0,4)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,16],[0,3,85],[0,4,100],[0,5,31],[1,2,94],[1,3,92],[1,4,48],[1,5,4],[2,3,11],[2,4,96],[2,5,91],[3,4,96],[3,5,35],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(2,3)=11,(0,2)=16,(0,5)=31,(3,5)=35,(0,1)=40,(1,4)=48,(4,5)=60,(0,3)=85,(2,5)=91,(1,3)=92,(1,2)=94,(2,4)=96,(3,4)=96,(0,4)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=31\",\"Find(0)=2, Find(5)=1, Add (0,5)=31 Succeeded, w=62\",\"Find(3)=2, Find(5)=2, Add (3,5)=35 Failed, w=62\",\"Find(0)=2, Find(1)=2, Add (0,1)=40 Failed, w=62\",\"Find(1)=2, Find(4)=4, Add (1,4)=48 Succeeded, w=110\",\"Find(4)=2, Find(5)=2, Add (4,5)=60 Failed, w=110\",\"Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=110\",\"Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=110\",\"Find(1)=2, Find(3)=2, Add (1,3)=92 Failed, w=110\",\"Find(1)=2, Find(2)=2, Add (1,2)=94 Failed, w=110\",\"Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=110\",\"Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=110\",\"Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,16],[0,3,85],[0,4,100],[0,5,31],[1,2,94],[1,3,92],[1,4,48],[1,5,4],[2,3,11],[2,4,96],[2,5,91],[3,4,96],[3,5,35],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(2,3)=11,(0,2)=16,(0,5)=31,(3,5)=35,(0,1)=40,(1,4)=48,(4,5)=60,(0,3)=85,(2,5)=91,(1,3)=92,(1,2)=94,(2,4)=96,(3,4)=96,(0,4)=100]\",\"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: 2, 4: 4, 5: 1}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 1}, Find(0)=2, Find(5)=1, Add (0,5)=31 Succeeded, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=35 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=40 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=4, Add (1,4)=48 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=60 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=110\",\"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=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=94 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,28],[0,3,14],[0,4,61],[0,5,29],[0,6,74],[1,2,85],[1,3,37],[1,4,87],[1,5,93],[1,6,53],[2,3,88],[2,4,55],[2,5,90],[2,6,36],[3,4,46],[3,6,18],[4,5,50],[5,6,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,61],[0,5,29],[0,6,74],[1,2,85],[1,3,37],[1,4,87],[1,5,93],[1,6,53],[2,3,88],[2,4,55],[2,5,90],[2,6,36],[3,4,46],[3,6,18],[4,5,50],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,61],[0,5,29],[0,6,74],[1,2,85],[1,3,37],[1,4,87],[1,5,93],[1,6,53],[2,3,88],[2,4,55],[2,5,90],[2,6,36],[3,4,46],[3,6,18],[4,5,50],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (3,4)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,61],[0,5,29],[0,6,74],[1,2,85],[1,3,37],[1,4,87],[1,5,93],[1,6,53],[2,3,88],[2,4,55],[2,5,90],[2,6,36],[3,4,46],[3,6,18],[4,5,50],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (3,6)=18, w=32\",\"Add (0,1)=28, w=60\",\"Add (0,5)=29, w=89\",\"Add (2,6)=36, w=125\",\"Add (3,4)=46, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,61],[0,5,29],[0,6,74],[1,2,85],[1,3,37],[1,4,87],[1,5,93],[1,6,53],[2,3,88],[2,4,55],[2,5,90],[2,6,36],[3,4,46],[3,6,18],[4,5,50],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (3,6)=18 Succeeded, w=32\",\"Add (0,1)=28 Succeeded, w=60\",\"Add (0,5)=29 Succeeded, w=89\",\"Add (2,6)=36 Succeeded, w=125\",\"Add (1,3)=37 Failed, w=125\",\"Add (3,4)=46 Succeeded, w=171\",\"Add (4,5)=50 Failed, w=171\",\"Add (1,6)=53 Failed, w=171\",\"Add (2,4)=55 Failed, w=171\",\"Add (5,6)=58 Failed, w=171\",\"Add (0,4)=61 Failed, w=171\",\"Add (0,6)=74 Failed, w=171\",\"Add (1,2)=85 Failed, w=171\",\"Add (1,4)=87 Failed, w=171\",\"Add (2,3)=88 Failed, w=171\",\"Add (2,5)=90 Failed, w=171\",\"Add (1,5)=93 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,61],[0,5,29],[0,6,74],[1,2,85],[1,3,37],[1,4,87],[1,5,93],[1,6,53],[2,3,88],[2,4,55],[2,5,90],[2,6,36],[3,4,46],[3,6,18],[4,5,50],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(3,6)=18,(0,1)=28,(0,5)=29,(2,6)=36,(1,3)=37,(3,4)=46,(4,5)=50,(1,6)=53,(2,4)=55,(5,6)=58,(0,4)=61,(0,6)=74,(1,2)=85,(1,4)=87,(2,3)=88,(2,5)=90,(1,5)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(3)=0, Find(6)=6, Add (3,6)=18 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=60\",\"Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=89\",\"Find(2)=2, Find(6)=0, Add (2,6)=36 Succeeded, w=125\",\"Find(1)=0, Find(3)=0, Add (1,3)=37 Failed, w=125\",\"Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=171\",\"Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=171\",\"Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=171\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=171\",\"Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=171\",\"Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=171\",\"Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=171\",\"Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=171\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=171\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=171\",\"Find(2)=0, Find(5)=0, Add (2,5)=90 Failed, w=171\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,61],[0,5,29],[0,6,74],[1,2,85],[1,3,37],[1,4,87],[1,5,93],[1,6,53],[2,3,88],[2,4,55],[2,5,90],[2,6,36],[3,4,46],[3,6,18],[4,5,50],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(3,6)=18,(0,1)=28,(0,5)=29,(2,6)=36,(1,3)=37,(3,4)=46,(4,5)=50,(1,6)=53,(2,4)=55,(5,6)=58,(0,4)=61,(0,6)=74,(1,2)=85,(1,4)=87,(2,3)=88,(2,5)=90,(1,5)=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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=36 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=37 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=90 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,61],[0,3,21],[0,4,61],[0,5,65],[0,6,37],[0,7,32],[1,3,39],[1,4,24],[1,5,53],[1,6,32],[1,7,7],[2,3,74],[2,4,83],[2,6,34],[3,4,34],[3,6,88],[4,5,43],[4,6,66],[4,7,19],[6,7,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,21],[0,4,61],[0,5,65],[0,6,37],[0,7,32],[1,3,39],[1,4,24],[1,5,53],[1,6,32],[1,7,7],[2,3,74],[2,4,83],[2,6,34],[3,4,34],[3,6,88],[4,5,43],[4,6,66],[4,7,19],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,21],[0,4,61],[0,5,65],[0,6,37],[0,7,32],[1,3,39],[1,4,24],[1,5,53],[1,6,32],[1,7,7],[2,3,74],[2,4,83],[2,6,34],[3,4,34],[3,6,88],[4,5,43],[4,6,66],[4,7,19],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (4,7)\",\"Add (0,3)\",\"Add (0,7)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (4,5)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,21],[0,4,61],[0,5,65],[0,6,37],[0,7,32],[1,3,39],[1,4,24],[1,5,53],[1,6,32],[1,7,7],[2,3,74],[2,4,83],[2,6,34],[3,4,34],[3,6,88],[4,5,43],[4,6,66],[4,7,19],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=7, w=7\",\"Add (4,7)=19, w=26\",\"Add (0,3)=21, w=47\",\"Add (0,7)=32, w=79\",\"Add (1,6)=32, w=111\",\"Add (2,6)=34, w=145\",\"Add (4,5)=43, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,21],[0,4,61],[0,5,65],[0,6,37],[0,7,32],[1,3,39],[1,4,24],[1,5,53],[1,6,32],[1,7,7],[2,3,74],[2,4,83],[2,6,34],[3,4,34],[3,6,88],[4,5,43],[4,6,66],[4,7,19],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=7 Succeeded, w=7\",\"Add (4,7)=19 Succeeded, w=26\",\"Add (0,3)=21 Succeeded, w=47\",\"Add (1,4)=24 Failed, w=47\",\"Add (0,7)=32 Succeeded, w=79\",\"Add (1,6)=32 Succeeded, w=111\",\"Add (2,6)=34 Succeeded, w=145\",\"Add (3,4)=34 Failed, w=145\",\"Add (0,6)=37 Failed, w=145\",\"Add (1,3)=39 Failed, w=145\",\"Add (6,7)=39 Failed, w=145\",\"Add (4,5)=43 Succeeded, w=188\",\"Add (1,5)=53 Failed, w=188\",\"Add (0,2)=61 Failed, w=188\",\"Add (0,4)=61 Failed, w=188\",\"Add (0,5)=65 Failed, w=188\",\"Add (4,6)=66 Failed, w=188\",\"Add (2,3)=74 Failed, w=188\",\"Add (2,4)=83 Failed, w=188\",\"Add (3,6)=88 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,21],[0,4,61],[0,5,65],[0,6,37],[0,7,32],[1,3,39],[1,4,24],[1,5,53],[1,6,32],[1,7,7],[2,3,74],[2,4,83],[2,6,34],[3,4,34],[3,6,88],[4,5,43],[4,6,66],[4,7,19],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=7,(4,7)=19,(0,3)=21,(1,4)=24,(0,7)=32,(1,6)=32,(2,6)=34,(3,4)=34,(0,6)=37,(1,3)=39,(6,7)=39,(4,5)=43,(1,5)=53,(0,2)=61,(0,4)=61,(0,5)=65,(4,6)=66,(2,3)=74,(2,4)=83,(3,6)=88]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Find(4)=4, Find(7)=1, Add (4,7)=19 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=47\",\"Find(1)=1, Find(4)=1, Add (1,4)=24 Failed, w=47\",\"Find(0)=0, Find(7)=1, Add (0,7)=32 Succeeded, w=79\",\"Find(1)=0, Find(6)=6, Add (1,6)=32 Succeeded, w=111\",\"Find(2)=2, Find(6)=0, Add (2,6)=34 Succeeded, w=145\",\"Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=145\",\"Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=145\",\"Find(6)=0, Find(7)=0, Add (6,7)=39 Failed, w=145\",\"Find(4)=0, Find(5)=5, Add (4,5)=43 Succeeded, w=188\",\"Find(1)=0, Find(5)=0, Add (1,5)=53 Failed, w=188\",\"Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=188\",\"Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=188\",\"Find(0)=0, Find(5)=0, Add (0,5)=65 Failed, w=188\",\"Find(4)=0, Find(6)=0, Add (4,6)=66 Failed, w=188\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=188\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=188\",\"Find(3)=0, Find(6)=0, Add (3,6)=88 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,61],[0,3,21],[0,4,61],[0,5,65],[0,6,37],[0,7,32],[1,3,39],[1,4,24],[1,5,53],[1,6,32],[1,7,7],[2,3,74],[2,4,83],[2,6,34],[3,4,34],[3,6,88],[4,5,43],[4,6,66],[4,7,19],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=7,(4,7)=19,(0,3)=21,(1,4)=24,(0,7)=32,(1,6)=32,(2,6)=34,(3,4)=34,(0,6)=37,(1,3)=39,(6,7)=39,(4,5)=43,(1,5)=53,(0,2)=61,(0,4)=61,(0,5)=65,(4,6)=66,(2,3)=74,(2,4)=83,(3,6)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=19 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=24 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=32 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 5, 6: 0, 7: 1}, Find(1)=0, Find(6)=6, Add (1,6)=32 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 5, 6: 0, 7: 1}, Find(2)=2, Find(6)=0, Add (2,6)=34 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 1}, Find(3)=0, Find(4)=0, Add (3,4)=34 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 1}, Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 1}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=39 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=5, Add (4,5)=43 Succeeded, w=188\",\"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)=53 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=188\",\"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)=61 Failed, w=188\",\"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)=65 Failed, w=188\",\"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)=66 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=188\",\"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)=83 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=88 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,30],[0,2,30],[0,3,87],[0,4,74],[0,5,42],[0,6,24],[1,2,75],[1,3,20],[1,4,8],[1,5,47],[1,6,19],[2,3,3],[2,4,81],[2,5,71],[2,6,54],[3,4,79],[3,5,88],[3,6,64],[4,5,77],[5,6,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,30],[0,3,87],[0,4,74],[0,5,42],[0,6,24],[1,2,75],[1,3,20],[1,4,8],[1,5,47],[1,6,19],[2,3,3],[2,4,81],[2,5,71],[2,6,54],[3,4,79],[3,5,88],[3,6,64],[4,5,77],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,30],[0,3,87],[0,4,74],[0,5,42],[0,6,24],[1,2,75],[1,3,20],[1,4,8],[1,5,47],[1,6,19],[2,3,3],[2,4,81],[2,5,71],[2,6,54],[3,4,79],[3,5,88],[3,6,64],[4,5,77],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (0,5)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,30],[0,3,87],[0,4,74],[0,5,42],[0,6,24],[1,2,75],[1,3,20],[1,4,8],[1,5,47],[1,6,19],[2,3,3],[2,4,81],[2,5,71],[2,6,54],[3,4,79],[3,5,88],[3,6,64],[4,5,77],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (1,4)=8, w=11\",\"Add (1,6)=19, w=30\",\"Add (1,3)=20, w=50\",\"Add (0,6)=24, w=74\",\"Add (0,5)=42, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,30],[0,3,87],[0,4,74],[0,5,42],[0,6,24],[1,2,75],[1,3,20],[1,4,8],[1,5,47],[1,6,19],[2,3,3],[2,4,81],[2,5,71],[2,6,54],[3,4,79],[3,5,88],[3,6,64],[4,5,77],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (1,4)=8 Succeeded, w=11\",\"Add (1,6)=19 Succeeded, w=30\",\"Add (1,3)=20 Succeeded, w=50\",\"Add (0,6)=24 Succeeded, w=74\",\"Add (0,1)=30 Failed, w=74\",\"Add (0,2)=30 Failed, w=74\",\"Add (0,5)=42 Succeeded, w=116\",\"Add (1,5)=47 Failed, w=116\",\"Add (2,6)=54 Failed, w=116\",\"Add (3,6)=64 Failed, w=116\",\"Add (2,5)=71 Failed, w=116\",\"Add (0,4)=74 Failed, w=116\",\"Add (1,2)=75 Failed, w=116\",\"Add (4,5)=77 Failed, w=116\",\"Add (3,4)=79 Failed, w=116\",\"Add (2,4)=81 Failed, w=116\",\"Add (0,3)=87 Failed, w=116\",\"Add (3,5)=88 Failed, w=116\",\"Add (5,6)=97 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,30],[0,3,87],[0,4,74],[0,5,42],[0,6,24],[1,2,75],[1,3,20],[1,4,8],[1,5,47],[1,6,19],[2,3,3],[2,4,81],[2,5,71],[2,6,54],[3,4,79],[3,5,88],[3,6,64],[4,5,77],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,4)=8,(1,6)=19,(1,3)=20,(0,6)=24,(0,1)=30,(0,2)=30,(0,5)=42,(1,5)=47,(2,6)=54,(3,6)=64,(2,5)=71,(0,4)=74,(1,2)=75,(4,5)=77,(3,4)=79,(2,4)=81,(0,3)=87,(3,5)=88,(5,6)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=11\",\"Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=30\",\"Find(1)=1, Find(3)=2, Add (1,3)=20 Succeeded, w=50\",\"Find(0)=0, Find(6)=1, Add (0,6)=24 Succeeded, w=74\",\"Find(0)=1, Find(1)=1, Add (0,1)=30 Failed, w=74\",\"Find(0)=1, Find(2)=1, Add (0,2)=30 Failed, w=74\",\"Find(0)=1, Find(5)=5, Add (0,5)=42 Succeeded, w=116\",\"Find(1)=1, Find(5)=1, Add (1,5)=47 Failed, w=116\",\"Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=116\",\"Find(3)=1, Find(6)=1, Add (3,6)=64 Failed, w=116\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=116\",\"Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=116\",\"Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=116\",\"Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=116\",\"Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=116\",\"Find(2)=1, Find(4)=1, Add (2,4)=81 Failed, w=116\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=116\",\"Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=116\",\"Find(5)=1, Find(6)=1, Add (5,6)=97 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,30],[0,3,87],[0,4,74],[0,5,42],[0,6,24],[1,2,75],[1,3,20],[1,4,8],[1,5,47],[1,6,19],[2,3,3],[2,4,81],[2,5,71],[2,6,54],[3,4,79],[3,5,88],[3,6,64],[4,5,77],[5,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,4)=8,(1,6)=19,(1,3)=20,(0,6)=24,(0,1)=30,(0,2)=30,(0,5)=42,(1,5)=47,(2,6)=54,(3,6)=64,(2,5)=71,(0,4)=74,(1,2)=75,(4,5)=77,(3,4)=79,(2,4)=81,(0,3)=87,(3,5)=88,(5,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(3)=2, Add (1,3)=20 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=24 Succeeded, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=30 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=30 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=5, Add (0,5)=42 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=47 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=64 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=81 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=97 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,82],[0,2,34],[0,3,49],[0,4,28],[1,4,16],[2,3,51],[2,4,39],[3,4,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,34],[0,3,49],[0,4,28],[1,4,16],[2,3,51],[2,4,39],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,34],[0,3,49],[0,4,28],[1,4,16],[2,3,51],[2,4,39],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,34],[0,3,49],[0,4,28],[1,4,16],[2,3,51],[2,4,39],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16, w=16\",\"Add (0,4)=28, w=44\",\"Add (0,2)=34, w=78\",\"Add (3,4)=39, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,34],[0,3,49],[0,4,28],[1,4,16],[2,3,51],[2,4,39],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16 Succeeded, w=16\",\"Add (0,4)=28 Succeeded, w=44\",\"Add (0,2)=34 Succeeded, w=78\",\"Add (2,4)=39 Failed, w=78\",\"Add (3,4)=39 Succeeded, w=117\",\"Add (0,3)=49 Failed, w=117\",\"Add (2,3)=51 Failed, w=117\",\"Add (0,1)=82 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,34],[0,3,49],[0,4,28],[1,4,16],[2,3,51],[2,4,39],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(0,4)=28,(0,2)=34,(2,4)=39,(3,4)=39,(0,3)=49,(2,3)=51,(0,1)=82]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=44\",\"Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=78\",\"Find(2)=1, Find(4)=1, Add (2,4)=39 Failed, w=78\",\"Find(3)=3, Find(4)=1, Add (3,4)=39 Succeeded, w=117\",\"Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=117\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=117\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,34],[0,3,49],[0,4,28],[1,4,16],[2,3,51],[2,4,39],[3,4,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(0,4)=28,(0,2)=34,(2,4)=39,(3,4)=39,(0,3)=49,(2,3)=51,(0,1)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=39 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=39 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,2,92],[0,3,80],[0,4,33],[0,5,27],[1,2,47],[1,3,67],[1,4,22],[1,5,83],[2,4,24],[2,5,82],[3,4,63],[3,5,9],[4,5,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,92],[0,3,80],[0,4,33],[0,5,27],[1,2,47],[1,3,67],[1,4,22],[1,5,83],[2,4,24],[2,5,82],[3,4,63],[3,5,9],[4,5,1]]}",
"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\":[[0,1,68],[0,2,92],[0,3,80],[0,4,33],[0,5,27],[1,2,47],[1,3,67],[1,4,22],[1,5,83],[2,4,24],[2,5,82],[3,4,63],[3,5,9],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,92],[0,3,80],[0,4,33],[0,5,27],[1,2,47],[1,3,67],[1,4,22],[1,5,83],[2,4,24],[2,5,82],[3,4,63],[3,5,9],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (3,5)=9, w=10\",\"Add (1,4)=22, w=32\",\"Add (2,4)=24, w=56\",\"Add (0,5)=27, 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\":[[0,1,68],[0,2,92],[0,3,80],[0,4,33],[0,5,27],[1,2,47],[1,3,67],[1,4,22],[1,5,83],[2,4,24],[2,5,82],[3,4,63],[3,5,9],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (3,5)=9 Succeeded, w=10\",\"Add (1,4)=22 Succeeded, w=32\",\"Add (2,4)=24 Succeeded, w=56\",\"Add (0,5)=27 Succeeded, w=83\",\"Add (0,4)=33 Failed, w=83\",\"Add (1,2)=47 Failed, w=83\",\"Add (3,4)=63 Failed, w=83\",\"Add (1,3)=67 Failed, w=83\",\"Add (0,1)=68 Failed, w=83\",\"Add (0,3)=80 Failed, w=83\",\"Add (2,5)=82 Failed, w=83\",\"Add (1,5)=83 Failed, w=83\",\"Add (0,2)=92 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\":[[0,1,68],[0,2,92],[0,3,80],[0,4,33],[0,5,27],[1,2,47],[1,3,67],[1,4,22],[1,5,83],[2,4,24],[2,5,82],[3,4,63],[3,5,9],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(3,5)=9,(1,4)=22,(2,4)=24,(0,5)=27,(0,4)=33,(1,2)=47,(3,4)=63,(1,3)=67,(0,1)=68,(0,3)=80,(2,5)=82,(1,5)=83,(0,2)=92]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=4, Add (3,5)=9 Succeeded, w=10\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=32\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=56\",\"Find(0)=0, Find(5)=4, Add (0,5)=27 Succeeded, w=83\",\"Find(0)=4, Find(4)=4, Add (0,4)=33 Failed, w=83\",\"Find(1)=4, Find(2)=4, Add (1,2)=47 Failed, w=83\",\"Find(3)=4, Find(4)=4, Add (3,4)=63 Failed, w=83\",\"Find(1)=4, Find(3)=4, Add (1,3)=67 Failed, w=83\",\"Find(0)=4, Find(1)=4, Add (0,1)=68 Failed, w=83\",\"Find(0)=4, Find(3)=4, Add (0,3)=80 Failed, w=83\",\"Find(2)=4, Find(5)=4, Add (2,5)=82 Failed, w=83\",\"Find(1)=4, Find(5)=4, Add (1,5)=83 Failed, w=83\",\"Find(0)=4, Find(2)=4, Add (0,2)=92 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\":[[0,1,68],[0,2,92],[0,3,80],[0,4,33],[0,5,27],[1,2,47],[1,3,67],[1,4,22],[1,5,83],[2,4,24],[2,5,82],[3,4,63],[3,5,9],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(3,5)=9,(1,4)=22,(2,4)=24,(0,5)=27,(0,4)=33,(1,2)=47,(3,4)=63,(1,3)=67,(0,1)=68,(0,3)=80,(2,5)=82,(1,5)=83,(0,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=32\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=56\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=27 Succeeded, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=33 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=4, Add (1,2)=47 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=63 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=67 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=68 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=80 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=82 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=83 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=92 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,4],[0,3,24],[0,4,12],[0,5,95],[1,2,28],[1,3,81],[1,5,6],[2,3,16],[2,4,31],[3,5,74],[4,5,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,4],[0,3,24],[0,4,12],[0,5,95],[1,2,28],[1,3,81],[1,5,6],[2,3,16],[2,4,31],[3,5,74],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,4],[0,3,24],[0,4,12],[0,5,95],[1,2,28],[1,3,81],[1,5,6],[2,3,16],[2,4,31],[3,5,74],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,4],[0,3,24],[0,4,12],[0,5,95],[1,2,28],[1,3,81],[1,5,6],[2,3,16],[2,4,31],[3,5,74],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (1,5)=6, w=10\",\"Add (0,4)=12, w=22\",\"Add (2,3)=16, w=38\",\"Add (1,2)=28, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,4],[0,3,24],[0,4,12],[0,5,95],[1,2,28],[1,3,81],[1,5,6],[2,3,16],[2,4,31],[3,5,74],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (1,5)=6 Succeeded, w=10\",\"Add (0,4)=12 Succeeded, w=22\",\"Add (2,3)=16 Succeeded, w=38\",\"Add (0,3)=24 Failed, w=38\",\"Add (1,2)=28 Succeeded, w=66\",\"Add (2,4)=31 Failed, w=66\",\"Add (0,1)=38 Failed, w=66\",\"Add (4,5)=48 Failed, w=66\",\"Add (3,5)=74 Failed, w=66\",\"Add (1,3)=81 Failed, w=66\",\"Add (0,5)=95 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,4],[0,3,24],[0,4,12],[0,5,95],[1,2,28],[1,3,81],[1,5,6],[2,3,16],[2,4,31],[3,5,74],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,5)=6,(0,4)=12,(2,3)=16,(0,3)=24,(1,2)=28,(2,4)=31,(0,1)=38,(4,5)=48,(3,5)=74,(1,3)=81,(0,5)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=22\",\"Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=38\",\"Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=38\",\"Find(1)=1, Find(2)=0, Add (1,2)=28 Succeeded, w=66\",\"Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=66\",\"Find(0)=1, Find(1)=1, Add (0,1)=38 Failed, w=66\",\"Find(4)=1, Find(5)=1, Add (4,5)=48 Failed, w=66\",\"Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=66\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=66\",\"Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,4],[0,3,24],[0,4,12],[0,5,95],[1,2,28],[1,3,81],[1,5,6],[2,3,16],[2,4,31],[3,5,74],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(1,5)=6,(0,4)=12,(2,3)=16,(0,3)=24,(1,2)=28,(2,4)=31,(0,1)=38,(4,5)=48,(3,5)=74,(1,3)=81,(0,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1}, Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(3)=0, Add (0,3)=24 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1}, Find(1)=1, Find(2)=0, Add (1,2)=28 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=38 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=48 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,52],[0,2,70],[0,3,94],[0,4,78],[0,5,4],[0,6,58],[1,2,62],[1,3,80],[1,5,89],[1,6,2],[2,3,8],[2,4,1],[2,5,91],[2,6,93],[3,4,2],[3,5,99],[3,6,95],[4,5,32],[4,6,66],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,70],[0,3,94],[0,4,78],[0,5,4],[0,6,58],[1,2,62],[1,3,80],[1,5,89],[1,6,2],[2,3,8],[2,4,1],[2,5,91],[2,6,93],[3,4,2],[3,5,99],[3,6,95],[4,5,32],[4,6,66],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,70],[0,3,94],[0,4,78],[0,5,4],[0,6,58],[1,2,62],[1,3,80],[1,5,89],[1,6,2],[2,3,8],[2,4,1],[2,5,91],[2,6,93],[3,4,2],[3,5,99],[3,6,95],[4,5,32],[4,6,66],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,6)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (5,6)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,70],[0,3,94],[0,4,78],[0,5,4],[0,6,58],[1,2,62],[1,3,80],[1,5,89],[1,6,2],[2,3,8],[2,4,1],[2,5,91],[2,6,93],[3,4,2],[3,5,99],[3,6,95],[4,5,32],[4,6,66],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (1,6)=2, w=3\",\"Add (3,4)=2, w=5\",\"Add (0,5)=4, w=9\",\"Add (4,5)=32, w=41\",\"Add (5,6)=41, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,70],[0,3,94],[0,4,78],[0,5,4],[0,6,58],[1,2,62],[1,3,80],[1,5,89],[1,6,2],[2,3,8],[2,4,1],[2,5,91],[2,6,93],[3,4,2],[3,5,99],[3,6,95],[4,5,32],[4,6,66],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (1,6)=2 Succeeded, w=3\",\"Add (3,4)=2 Succeeded, w=5\",\"Add (0,5)=4 Succeeded, w=9\",\"Add (2,3)=8 Failed, w=9\",\"Add (4,5)=32 Succeeded, w=41\",\"Add (5,6)=41 Succeeded, w=82\",\"Add (0,1)=52 Failed, w=82\",\"Add (0,6)=58 Failed, w=82\",\"Add (1,2)=62 Failed, w=82\",\"Add (4,6)=66 Failed, w=82\",\"Add (0,2)=70 Failed, w=82\",\"Add (0,4)=78 Failed, w=82\",\"Add (1,3)=80 Failed, w=82\",\"Add (1,5)=89 Failed, w=82\",\"Add (2,5)=91 Failed, w=82\",\"Add (2,6)=93 Failed, w=82\",\"Add (0,3)=94 Failed, w=82\",\"Add (3,6)=95 Failed, w=82\",\"Add (3,5)=99 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,70],[0,3,94],[0,4,78],[0,5,4],[0,6,58],[1,2,62],[1,3,80],[1,5,89],[1,6,2],[2,3,8],[2,4,1],[2,5,91],[2,6,93],[3,4,2],[3,5,99],[3,6,95],[4,5,32],[4,6,66],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,6)=2,(3,4)=2,(0,5)=4,(2,3)=8,(4,5)=32,(5,6)=41,(0,1)=52,(0,6)=58,(1,2)=62,(4,6)=66,(0,2)=70,(0,4)=78,(1,3)=80,(1,5)=89,(2,5)=91,(2,6)=93,(0,3)=94,(3,6)=95,(3,5)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=3\",\"Find(3)=3, Find(4)=2, Add (3,4)=2 Succeeded, w=5\",\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=9\",\"Find(2)=2, Find(3)=2, Add (2,3)=8 Failed, w=9\",\"Find(4)=2, Find(5)=0, Add (4,5)=32 Succeeded, w=41\",\"Find(5)=2, Find(6)=1, Add (5,6)=41 Succeeded, w=82\",\"Find(0)=2, Find(1)=2, Add (0,1)=52 Failed, w=82\",\"Find(0)=2, Find(6)=2, Add (0,6)=58 Failed, w=82\",\"Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=82\",\"Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=82\",\"Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=82\",\"Find(0)=2, Find(4)=2, Add (0,4)=78 Failed, w=82\",\"Find(1)=2, Find(3)=2, Add (1,3)=80 Failed, w=82\",\"Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=82\",\"Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=82\",\"Find(2)=2, Find(6)=2, Add (2,6)=93 Failed, w=82\",\"Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=82\",\"Find(3)=2, Find(6)=2, Add (3,6)=95 Failed, w=82\",\"Find(3)=2, Find(5)=2, Add (3,5)=99 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,70],[0,3,94],[0,4,78],[0,5,4],[0,6,58],[1,2,62],[1,3,80],[1,5,89],[1,6,2],[2,3,8],[2,4,1],[2,5,91],[2,6,93],[3,4,2],[3,5,99],[3,6,95],[4,5,32],[4,6,66],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,6)=2,(3,4)=2,(0,5)=4,(2,3)=8,(4,5)=32,(5,6)=41,(0,1)=52,(0,6)=58,(1,2)=62,(4,6)=66,(0,2)=70,(0,4)=78,(1,3)=80,(1,5)=89,(2,5)=91,(2,6)=93,(0,3)=94,(3,6)=95,(3,5)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 1}, Find(3)=3, Find(4)=2, Add (3,4)=2 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 1}, Find(2)=2, Find(3)=2, Add (2,3)=8 Failed, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 1}, Find(4)=2, Find(5)=0, Add (4,5)=32 Succeeded, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(5)=2, Find(6)=1, Add (5,6)=41 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(0)=2, Find(1)=2, Add (0,1)=52 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=58 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=78 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=80 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=89 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=93 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=95 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=99 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,3],[0,4,76],[0,5,11],[1,2,39],[1,3,83],[1,4,84],[1,5,70],[2,4,44],[2,5,52],[3,4,87],[3,5,70],[4,5,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,4,76],[0,5,11],[1,2,39],[1,3,83],[1,4,84],[1,5,70],[2,4,44],[2,5,52],[3,4,87],[3,5,70],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,4,76],[0,5,11],[1,2,39],[1,3,83],[1,4,84],[1,5,70],[2,4,44],[2,5,52],[3,4,87],[3,5,70],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,4,76],[0,5,11],[1,2,39],[1,3,83],[1,4,84],[1,5,70],[2,4,44],[2,5,52],[3,4,87],[3,5,70],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,5)=11, w=14\",\"Add (1,2)=39, w=53\",\"Add (4,5)=41, w=94\",\"Add (3,5)=70, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,4,76],[0,5,11],[1,2,39],[1,3,83],[1,4,84],[1,5,70],[2,4,44],[2,5,52],[3,4,87],[3,5,70],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,5)=11 Succeeded, w=14\",\"Add (1,2)=39 Succeeded, w=53\",\"Add (4,5)=41 Succeeded, w=94\",\"Add (2,4)=44 Failed, w=94\",\"Add (2,5)=52 Failed, w=94\",\"Add (1,5)=70 Failed, w=94\",\"Add (3,5)=70 Succeeded, w=164\",\"Add (0,4)=76 Failed, w=164\",\"Add (1,3)=83 Failed, w=164\",\"Add (1,4)=84 Failed, w=164\",\"Add (3,4)=87 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,4,76],[0,5,11],[1,2,39],[1,3,83],[1,4,84],[1,5,70],[2,4,44],[2,5,52],[3,4,87],[3,5,70],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,5)=11,(1,2)=39,(4,5)=41,(2,4)=44,(2,5)=52,(1,5)=70,(3,5)=70,(0,4)=76,(1,3)=83,(1,4)=84,(3,4)=87]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=14\",\"Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=53\",\"Find(4)=4, Find(5)=0, Add (4,5)=41 Succeeded, w=94\",\"Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=94\",\"Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=94\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=94\",\"Find(3)=3, Find(5)=0, Add (3,5)=70 Succeeded, w=164\",\"Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=164\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=164\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=164\",\"Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,3],[0,4,76],[0,5,11],[1,2,39],[1,3,83],[1,4,84],[1,5,70],[2,4,44],[2,5,52],[3,4,87],[3,5,70],[4,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,5)=11,(1,2)=39,(4,5)=41,(2,4)=44,(2,5)=52,(1,5)=70,(3,5)=70,(0,4)=76,(1,3)=83,(1,4)=84,(3,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=41 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=70 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,71],[0,2,32],[0,3,90],[0,4,9],[1,2,62],[1,3,96],[1,4,16],[2,3,16],[2,4,22],[3,4,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,32],[0,3,90],[0,4,9],[1,2,62],[1,3,96],[1,4,16],[2,3,16],[2,4,22],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,32],[0,3,90],[0,4,9],[1,2,62],[1,3,96],[1,4,16],[2,3,16],[2,4,22],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,32],[0,3,90],[0,4,9],[1,2,62],[1,3,96],[1,4,16],[2,3,16],[2,4,22],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9, w=9\",\"Add (1,4)=16, w=25\",\"Add (2,3)=16, w=41\",\"Add (2,4)=22, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,32],[0,3,90],[0,4,9],[1,2,62],[1,3,96],[1,4,16],[2,3,16],[2,4,22],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=9 Succeeded, w=9\",\"Add (1,4)=16 Succeeded, w=25\",\"Add (2,3)=16 Succeeded, w=41\",\"Add (2,4)=22 Succeeded, w=63\",\"Add (0,2)=32 Failed, w=63\",\"Add (3,4)=46 Failed, w=63\",\"Add (1,2)=62 Failed, w=63\",\"Add (0,1)=71 Failed, w=63\",\"Add (0,3)=90 Failed, w=63\",\"Add (1,3)=96 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,32],[0,3,90],[0,4,9],[1,2,62],[1,3,96],[1,4,16],[2,3,16],[2,4,22],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(1,4)=16,(2,3)=16,(2,4)=22,(0,2)=32,(3,4)=46,(1,2)=62,(0,1)=71,(0,3)=90,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=25\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=41\",\"Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=63\",\"Find(0)=2, Find(2)=2, Add (0,2)=32 Failed, w=63\",\"Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=63\",\"Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=63\",\"Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=63\",\"Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=63\",\"Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,32],[0,3,90],[0,4,9],[1,2,62],[1,3,96],[1,4,16],[2,3,16],[2,4,22],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=9,(1,4)=16,(2,3)=16,(2,4)=22,(0,2)=32,(3,4)=46,(1,2)=62,(0,1)=71,(0,3)=90,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=16 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=41\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=63\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(2)=2, Add (0,2)=32 Failed, w=63\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=96 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,36],[0,4,69],[0,5,43],[0,6,10],[0,7,100],[1,2,18],[1,3,50],[1,4,15],[1,5,10],[1,6,64],[1,7,50],[2,4,59],[2,6,70],[3,4,37],[3,7,58],[4,5,18],[4,6,25],[4,7,24],[5,7,20],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,4,69],[0,5,43],[0,6,10],[0,7,100],[1,2,18],[1,3,50],[1,4,15],[1,5,10],[1,6,64],[1,7,50],[2,4,59],[2,6,70],[3,4,37],[3,7,58],[4,5,18],[4,6,25],[4,7,24],[5,7,20],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,4,69],[0,5,43],[0,6,10],[0,7,100],[1,2,18],[1,3,50],[1,4,15],[1,5,10],[1,6,64],[1,7,50],[2,4,59],[2,6,70],[3,4,37],[3,7,58],[4,5,18],[4,6,25],[4,7,24],[5,7,20],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (3,4)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,4,69],[0,5,43],[0,6,10],[0,7,100],[1,2,18],[1,3,50],[1,4,15],[1,5,10],[1,6,64],[1,7,50],[2,4,59],[2,6,70],[3,4,37],[3,7,58],[4,5,18],[4,6,25],[4,7,24],[5,7,20],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=10, w=10\",\"Add (1,5)=10, w=20\",\"Add (1,4)=15, w=35\",\"Add (1,2)=18, w=53\",\"Add (5,7)=20, w=73\",\"Add (4,6)=25, w=98\",\"Add (3,4)=37, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,4,69],[0,5,43],[0,6,10],[0,7,100],[1,2,18],[1,3,50],[1,4,15],[1,5,10],[1,6,64],[1,7,50],[2,4,59],[2,6,70],[3,4,37],[3,7,58],[4,5,18],[4,6,25],[4,7,24],[5,7,20],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=10 Succeeded, w=10\",\"Add (1,5)=10 Succeeded, w=20\",\"Add (1,4)=15 Succeeded, w=35\",\"Add (1,2)=18 Succeeded, w=53\",\"Add (4,5)=18 Failed, w=53\",\"Add (5,7)=20 Succeeded, w=73\",\"Add (4,7)=24 Failed, w=73\",\"Add (4,6)=25 Succeeded, w=98\",\"Add (0,1)=36 Failed, w=98\",\"Add (3,4)=37 Succeeded, w=135\",\"Add (0,5)=43 Failed, w=135\",\"Add (1,3)=50 Failed, w=135\",\"Add (1,7)=50 Failed, w=135\",\"Add (6,7)=53 Failed, w=135\",\"Add (3,7)=58 Failed, w=135\",\"Add (2,4)=59 Failed, w=135\",\"Add (1,6)=64 Failed, w=135\",\"Add (0,4)=69 Failed, w=135\",\"Add (2,6)=70 Failed, w=135\",\"Add (0,7)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,4,69],[0,5,43],[0,6,10],[0,7,100],[1,2,18],[1,3,50],[1,4,15],[1,5,10],[1,6,64],[1,7,50],[2,4,59],[2,6,70],[3,4,37],[3,7,58],[4,5,18],[4,6,25],[4,7,24],[5,7,20],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=10,(1,5)=10,(1,4)=15,(1,2)=18,(4,5)=18,(5,7)=20,(4,7)=24,(4,6)=25,(0,1)=36,(3,4)=37,(0,5)=43,(1,3)=50,(1,7)=50,(6,7)=53,(3,7)=58,(2,4)=59,(1,6)=64,(0,4)=69,(2,6)=70,(0,7)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=10\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=20\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=35\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=53\",\"Find(4)=1, Find(5)=1, Add (4,5)=18 Failed, w=53\",\"Find(5)=1, Find(7)=7, Add (5,7)=20 Succeeded, w=73\",\"Find(4)=1, Find(7)=1, Add (4,7)=24 Failed, w=73\",\"Find(4)=1, Find(6)=0, Add (4,6)=25 Succeeded, w=98\",\"Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=98\",\"Find(3)=3, Find(4)=1, Add (3,4)=37 Succeeded, w=135\",\"Find(0)=1, Find(5)=1, Add (0,5)=43 Failed, w=135\",\"Find(1)=1, Find(3)=1, Add (1,3)=50 Failed, w=135\",\"Find(1)=1, Find(7)=1, Add (1,7)=50 Failed, w=135\",\"Find(6)=1, Find(7)=1, Add (6,7)=53 Failed, w=135\",\"Find(3)=1, Find(7)=1, Add (3,7)=58 Failed, w=135\",\"Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=135\",\"Find(1)=1, Find(6)=1, Add (1,6)=64 Failed, w=135\",\"Find(0)=1, Find(4)=1, Add (0,4)=69 Failed, w=135\",\"Find(2)=1, Find(6)=1, Add (2,6)=70 Failed, w=135\",\"Find(0)=1, Find(7)=1, Add (0,7)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,4,69],[0,5,43],[0,6,10],[0,7,100],[1,2,18],[1,3,50],[1,4,15],[1,5,10],[1,6,64],[1,7,50],[2,4,59],[2,6,70],[3,4,37],[3,7,58],[4,5,18],[4,6,25],[4,7,24],[5,7,20],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=10,(1,5)=10,(1,4)=15,(1,2)=18,(4,5)=18,(5,7)=20,(4,7)=24,(4,6)=25,(0,1)=36,(3,4)=37,(0,5)=43,(1,3)=50,(1,7)=50,(6,7)=53,(3,7)=58,(2,4)=59,(1,6)=64,(0,4)=69,(2,6)=70,(0,7)=100]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0, 7: 7}, Find(4)=1, Find(5)=1, Add (4,5)=18 Failed, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=20 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=24 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0, 7: 1}, Find(4)=1, Find(6)=0, Add (4,6)=25 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(3)=3, Find(4)=1, Add (3,4)=37 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=43 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=50 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=50 Failed, w=135\",\"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)=53 Failed, w=135\",\"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)=58 Failed, w=135\",\"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)=59 Failed, w=135\",\"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)=64 Failed, w=135\",\"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=135\",\"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)=70 Failed, w=135\",\"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=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,2,89],[1,2,64],[1,3,85],[2,3,73],[2,4,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[1,2,64],[1,3,85],[2,3,73],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[1,2,64],[1,3,85],[2,3,73],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[1,2,64],[1,3,85],[2,3,73],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (2,4)=17, w=19\",\"Add (1,2)=64, w=83\",\"Add (2,3)=73, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[1,2,64],[1,3,85],[2,3,73],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (2,4)=17 Succeeded, w=19\",\"Add (1,2)=64 Succeeded, w=83\",\"Add (2,3)=73 Succeeded, w=156\",\"Add (1,3)=85 Failed, w=156\",\"Add (0,2)=89 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[1,2,64],[1,3,85],[2,3,73],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,4)=17,(1,2)=64,(2,3)=73,(1,3)=85,(0,2)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=19\",\"Find(1)=0, Find(2)=2, Add (1,2)=64 Succeeded, w=83\",\"Find(2)=0, Find(3)=3, Add (2,3)=73 Succeeded, w=156\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=156\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,2,89],[1,2,64],[1,3,85],[2,3,73],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,4)=17,(1,2)=64,(2,3)=73,(1,3)=85,(0,2)=89]\",\"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: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(1)=0, Find(2)=2, Add (1,2)=64 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=3, Add (2,3)=73 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,36],[0,2,18],[0,4,70],[0,5,3],[0,7,42],[1,2,72],[1,3,94],[1,4,74],[1,7,0],[2,3,11],[2,4,33],[2,5,53],[2,7,87],[3,4,97],[3,5,52],[3,6,38],[3,7,57],[4,6,7],[4,7,73],[5,6,2],[5,7,91],[6,7,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,18],[0,4,70],[0,5,3],[0,7,42],[1,2,72],[1,3,94],[1,4,74],[1,7,0],[2,3,11],[2,4,33],[2,5,53],[2,7,87],[3,4,97],[3,5,52],[3,6,38],[3,7,57],[4,6,7],[4,7,73],[5,6,2],[5,7,91],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,18],[0,4,70],[0,5,3],[0,7,42],[1,2,72],[1,3,94],[1,4,74],[1,7,0],[2,3,11],[2,4,33],[2,5,53],[2,7,87],[3,4,97],[3,5,52],[3,6,38],[3,7,57],[4,6,7],[4,7,73],[5,6,2],[5,7,91],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (5,6)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (6,7)\",\"Add (0,2)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,18],[0,4,70],[0,5,3],[0,7,42],[1,2,72],[1,3,94],[1,4,74],[1,7,0],[2,3,11],[2,4,33],[2,5,53],[2,7,87],[3,4,97],[3,5,52],[3,6,38],[3,7,57],[4,6,7],[4,7,73],[5,6,2],[5,7,91],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0, w=0\",\"Add (5,6)=2, w=2\",\"Add (0,5)=3, w=5\",\"Add (4,6)=7, w=12\",\"Add (2,3)=11, w=23\",\"Add (6,7)=12, w=35\",\"Add (0,2)=18, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,18],[0,4,70],[0,5,3],[0,7,42],[1,2,72],[1,3,94],[1,4,74],[1,7,0],[2,3,11],[2,4,33],[2,5,53],[2,7,87],[3,4,97],[3,5,52],[3,6,38],[3,7,57],[4,6,7],[4,7,73],[5,6,2],[5,7,91],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0 Succeeded, w=0\",\"Add (5,6)=2 Succeeded, w=2\",\"Add (0,5)=3 Succeeded, w=5\",\"Add (4,6)=7 Succeeded, w=12\",\"Add (2,3)=11 Succeeded, w=23\",\"Add (6,7)=12 Succeeded, w=35\",\"Add (0,2)=18 Succeeded, w=53\",\"Add (2,4)=33 Failed, w=53\",\"Add (0,1)=36 Failed, w=53\",\"Add (3,6)=38 Failed, w=53\",\"Add (0,7)=42 Failed, w=53\",\"Add (3,5)=52 Failed, w=53\",\"Add (2,5)=53 Failed, w=53\",\"Add (3,7)=57 Failed, w=53\",\"Add (0,4)=70 Failed, w=53\",\"Add (1,2)=72 Failed, w=53\",\"Add (4,7)=73 Failed, w=53\",\"Add (1,4)=74 Failed, w=53\",\"Add (2,7)=87 Failed, w=53\",\"Add (5,7)=91 Failed, w=53\",\"Add (1,3)=94 Failed, w=53\",\"Add (3,4)=97 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,18],[0,4,70],[0,5,3],[0,7,42],[1,2,72],[1,3,94],[1,4,74],[1,7,0],[2,3,11],[2,4,33],[2,5,53],[2,7,87],[3,4,97],[3,5,52],[3,6,38],[3,7,57],[4,6,7],[4,7,73],[5,6,2],[5,7,91],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(5,6)=2,(0,5)=3,(4,6)=7,(2,3)=11,(6,7)=12,(0,2)=18,(2,4)=33,(0,1)=36,(3,6)=38,(0,7)=42,(3,5)=52,(2,5)=53,(3,7)=57,(0,4)=70,(1,2)=72,(4,7)=73,(1,4)=74,(2,7)=87,(5,7)=91,(1,3)=94,(3,4)=97]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=5\",\"Find(4)=4, Find(6)=5, Add (4,6)=7 Succeeded, w=12\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=23\",\"Find(6)=5, Find(7)=1, Add (6,7)=12 Succeeded, w=35\",\"Find(0)=5, Find(2)=2, Add (0,2)=18 Succeeded, w=53\",\"Find(2)=5, Find(4)=5, Add (2,4)=33 Failed, w=53\",\"Find(0)=5, Find(1)=5, Add (0,1)=36 Failed, w=53\",\"Find(3)=5, Find(6)=5, Add (3,6)=38 Failed, w=53\",\"Find(0)=5, Find(7)=5, Add (0,7)=42 Failed, w=53\",\"Find(3)=5, Find(5)=5, Add (3,5)=52 Failed, w=53\",\"Find(2)=5, Find(5)=5, Add (2,5)=53 Failed, w=53\",\"Find(3)=5, Find(7)=5, Add (3,7)=57 Failed, w=53\",\"Find(0)=5, Find(4)=5, Add (0,4)=70 Failed, w=53\",\"Find(1)=5, Find(2)=5, Add (1,2)=72 Failed, w=53\",\"Find(4)=5, Find(7)=5, Add (4,7)=73 Failed, w=53\",\"Find(1)=5, Find(4)=5, Add (1,4)=74 Failed, w=53\",\"Find(2)=5, Find(7)=5, Add (2,7)=87 Failed, w=53\",\"Find(5)=5, Find(7)=5, Add (5,7)=91 Failed, w=53\",\"Find(1)=5, Find(3)=5, Add (1,3)=94 Failed, w=53\",\"Find(3)=5, Find(4)=5, Add (3,4)=97 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,18],[0,4,70],[0,5,3],[0,7,42],[1,2,72],[1,3,94],[1,4,74],[1,7,0],[2,3,11],[2,4,33],[2,5,53],[2,7,87],[3,4,97],[3,5,52],[3,6,38],[3,7,57],[4,6,7],[4,7,73],[5,6,2],[5,7,91],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(5,6)=2,(0,5)=3,(4,6)=7,(2,3)=11,(6,7)=12,(0,2)=18,(2,4)=33,(0,1)=36,(3,6)=38,(0,7)=42,(3,5)=52,(2,5)=53,(3,7)=57,(0,4)=70,(1,2)=72,(4,7)=73,(1,4)=74,(2,7)=87,(5,7)=91,(1,3)=94,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 1}, Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 1}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=5\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 1}, Find(4)=4, Find(6)=5, Add (4,6)=7 Succeeded, w=12\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 1}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=23\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 2, 4: 5, 5: 5, 6: 5, 7: 1}, Find(6)=5, Find(7)=1, Add (6,7)=12 Succeeded, w=35\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 2, 4: 5, 5: 5, 6: 5, 7: 1}, Find(0)=5, Find(2)=2, Add (0,2)=18 Succeeded, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 2, 4: 5, 5: 5, 6: 5, 7: 1}, Find(2)=5, Find(4)=5, Add (2,4)=33 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 2, 4: 5, 5: 5, 6: 5, 7: 1}, Find(0)=5, Find(1)=5, Add (0,1)=36 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 1}, Find(3)=5, Find(6)=5, Add (3,6)=38 Failed, w=53\",\"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)=42 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=52 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=53 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=57 Failed, w=53\",\"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)=70 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=72 Failed, w=53\",\"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)=73 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=74 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=87 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=5, Add (5,7)=91 Failed, w=53\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(3)=5, Add (1,3)=94 Failed, w=53\",\"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)=97 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,52],[0,2,64],[0,3,98],[0,5,5],[0,6,55],[1,2,20],[1,4,68],[1,5,77],[1,6,56],[2,3,20],[2,5,56],[2,6,45],[3,4,59],[3,5,9],[3,6,42],[4,6,29],[5,6,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,64],[0,3,98],[0,5,5],[0,6,55],[1,2,20],[1,4,68],[1,5,77],[1,6,56],[2,3,20],[2,5,56],[2,6,45],[3,4,59],[3,5,9],[3,6,42],[4,6,29],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,64],[0,3,98],[0,5,5],[0,6,55],[1,2,20],[1,4,68],[1,5,77],[1,6,56],[2,3,20],[2,5,56],[2,6,45],[3,4,59],[3,5,9],[3,6,42],[4,6,29],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (4,6)\",\"Add (3,6)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,64],[0,3,98],[0,5,5],[0,6,55],[1,2,20],[1,4,68],[1,5,77],[1,6,56],[2,3,20],[2,5,56],[2,6,45],[3,4,59],[3,5,9],[3,6,42],[4,6,29],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (3,5)=9, w=14\",\"Add (1,2)=20, w=34\",\"Add (2,3)=20, w=54\",\"Add (4,6)=29, w=83\",\"Add (3,6)=42, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,64],[0,3,98],[0,5,5],[0,6,55],[1,2,20],[1,4,68],[1,5,77],[1,6,56],[2,3,20],[2,5,56],[2,6,45],[3,4,59],[3,5,9],[3,6,42],[4,6,29],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (3,5)=9 Succeeded, w=14\",\"Add (1,2)=20 Succeeded, w=34\",\"Add (2,3)=20 Succeeded, w=54\",\"Add (4,6)=29 Succeeded, w=83\",\"Add (3,6)=42 Succeeded, w=125\",\"Add (2,6)=45 Failed, w=125\",\"Add (0,1)=52 Failed, w=125\",\"Add (0,6)=55 Failed, w=125\",\"Add (1,6)=56 Failed, w=125\",\"Add (2,5)=56 Failed, w=125\",\"Add (3,4)=59 Failed, w=125\",\"Add (0,2)=64 Failed, w=125\",\"Add (1,4)=68 Failed, w=125\",\"Add (5,6)=70 Failed, w=125\",\"Add (1,5)=77 Failed, w=125\",\"Add (0,3)=98 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,64],[0,3,98],[0,5,5],[0,6,55],[1,2,20],[1,4,68],[1,5,77],[1,6,56],[2,3,20],[2,5,56],[2,6,45],[3,4,59],[3,5,9],[3,6,42],[4,6,29],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(3,5)=9,(1,2)=20,(2,3)=20,(4,6)=29,(3,6)=42,(2,6)=45,(0,1)=52,(0,6)=55,(1,6)=56,(2,5)=56,(3,4)=59,(0,2)=64,(1,4)=68,(5,6)=70,(1,5)=77,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(3)=3, Find(5)=0, Add (3,5)=9 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=34\",\"Find(2)=1, Find(3)=0, Add (2,3)=20 Succeeded, w=54\",\"Find(4)=4, Find(6)=6, Add (4,6)=29 Succeeded, w=83\",\"Find(3)=1, Find(6)=4, Add (3,6)=42 Succeeded, w=125\",\"Find(2)=1, Find(6)=1, Add (2,6)=45 Failed, w=125\",\"Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=125\",\"Find(0)=1, Find(6)=1, Add (0,6)=55 Failed, w=125\",\"Find(1)=1, Find(6)=1, Add (1,6)=56 Failed, w=125\",\"Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=125\",\"Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=125\",\"Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=125\",\"Find(1)=1, Find(4)=1, Add (1,4)=68 Failed, w=125\",\"Find(5)=1, Find(6)=1, Add (5,6)=70 Failed, w=125\",\"Find(1)=1, Find(5)=1, Add (1,5)=77 Failed, w=125\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,52],[0,2,64],[0,3,98],[0,5,5],[0,6,55],[1,2,20],[1,4,68],[1,5,77],[1,6,56],[2,3,20],[2,5,56],[2,6,45],[3,4,59],[3,5,9],[3,6,42],[4,6,29],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(3,5)=9,(1,2)=20,(2,3)=20,(4,6)=29,(3,6)=42,(2,6)=45,(0,1)=52,(0,6)=55,(1,6)=56,(2,5)=56,(3,4)=59,(0,2)=64,(1,4)=68,(5,6)=70,(1,5)=77,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=3, Find(5)=0, Add (3,5)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=1, Find(3)=0, Add (2,3)=20 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=29 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 4}, Find(3)=1, Find(6)=4, Add (3,6)=42 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=45 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=55 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=56 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=56 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=68 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)=70 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=77 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)=98 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,2,80],[0,3,81],[0,4,55],[0,5,68],[1,2,26],[1,3,67],[1,4,62],[1,5,1],[2,3,83],[2,4,80],[2,5,50],[3,4,31],[3,5,90],[4,5,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,80],[0,3,81],[0,4,55],[0,5,68],[1,2,26],[1,3,67],[1,4,62],[1,5,1],[2,3,83],[2,4,80],[2,5,50],[3,4,31],[3,5,90],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,80],[0,3,81],[0,4,55],[0,5,68],[1,2,26],[1,3,67],[1,4,62],[1,5,1],[2,3,83],[2,4,80],[2,5,50],[3,4,31],[3,5,90],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (0,1)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,80],[0,3,81],[0,4,55],[0,5,68],[1,2,26],[1,3,67],[1,4,62],[1,5,1],[2,3,83],[2,4,80],[2,5,50],[3,4,31],[3,5,90],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (1,2)=26, w=27\",\"Add (3,4)=31, w=58\",\"Add (4,5)=45, w=103\",\"Add (0,1)=48, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,80],[0,3,81],[0,4,55],[0,5,68],[1,2,26],[1,3,67],[1,4,62],[1,5,1],[2,3,83],[2,4,80],[2,5,50],[3,4,31],[3,5,90],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (1,2)=26 Succeeded, w=27\",\"Add (3,4)=31 Succeeded, w=58\",\"Add (4,5)=45 Succeeded, w=103\",\"Add (0,1)=48 Succeeded, w=151\",\"Add (2,5)=50 Failed, w=151\",\"Add (0,4)=55 Failed, w=151\",\"Add (1,4)=62 Failed, w=151\",\"Add (1,3)=67 Failed, w=151\",\"Add (0,5)=68 Failed, w=151\",\"Add (0,2)=80 Failed, w=151\",\"Add (2,4)=80 Failed, w=151\",\"Add (0,3)=81 Failed, w=151\",\"Add (2,3)=83 Failed, w=151\",\"Add (3,5)=90 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,80],[0,3,81],[0,4,55],[0,5,68],[1,2,26],[1,3,67],[1,4,62],[1,5,1],[2,3,83],[2,4,80],[2,5,50],[3,4,31],[3,5,90],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(1,2)=26,(3,4)=31,(4,5)=45,(0,1)=48,(2,5)=50,(0,4)=55,(1,4)=62,(1,3)=67,(0,5)=68,(0,2)=80,(2,4)=80,(0,3)=81,(2,3)=83,(3,5)=90]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=27\",\"Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=58\",\"Find(4)=3, Find(5)=1, Add (4,5)=45 Succeeded, w=103\",\"Find(0)=0, Find(1)=3, Add (0,1)=48 Succeeded, w=151\",\"Find(2)=3, Find(5)=3, Add (2,5)=50 Failed, w=151\",\"Find(0)=3, Find(4)=3, Add (0,4)=55 Failed, w=151\",\"Find(1)=3, Find(4)=3, Add (1,4)=62 Failed, w=151\",\"Find(1)=3, Find(3)=3, Add (1,3)=67 Failed, w=151\",\"Find(0)=3, Find(5)=3, Add (0,5)=68 Failed, w=151\",\"Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=151\",\"Find(2)=3, Find(4)=3, Add (2,4)=80 Failed, w=151\",\"Find(0)=3, Find(3)=3, Add (0,3)=81 Failed, w=151\",\"Find(2)=3, Find(3)=3, Add (2,3)=83 Failed, w=151\",\"Find(3)=3, Find(5)=3, Add (3,5)=90 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,80],[0,3,81],[0,4,55],[0,5,68],[1,2,26],[1,3,67],[1,4,62],[1,5,1],[2,3,83],[2,4,80],[2,5,50],[3,4,31],[3,5,90],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(1,2)=26,(3,4)=31,(4,5)=45,(0,1)=48,(2,5)=50,(0,4)=55,(1,4)=62,(1,3)=67,(0,5)=68,(0,2)=80,(2,4)=80,(0,3)=81,(2,3)=83,(3,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=58\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(4)=3, Find(5)=1, Add (4,5)=45 Succeeded, w=103\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(0)=0, Find(1)=3, Add (0,1)=48 Succeeded, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=50 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=55 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=62 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=67 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=68 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=80 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=81 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=83 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=90 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,74],[0,2,76],[0,3,6],[1,2,64],[1,3,98],[2,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,76],[0,3,6],[1,2,64],[1,3,98],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,76],[0,3,6],[1,2,64],[1,3,98],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,76],[0,3,6],[1,2,64],[1,3,98],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (2,3)=45, w=51\",\"Add (1,2)=64, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,76],[0,3,6],[1,2,64],[1,3,98],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (2,3)=45 Succeeded, w=51\",\"Add (1,2)=64 Succeeded, w=115\",\"Add (0,1)=74 Failed, w=115\",\"Add (0,2)=76 Failed, w=115\",\"Add (1,3)=98 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,76],[0,3,6],[1,2,64],[1,3,98],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(2,3)=45,(1,2)=64,(0,1)=74,(0,2)=76,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=0, Add (2,3)=45 Succeeded, w=51\",\"Find(1)=1, Find(2)=0, Add (1,2)=64 Succeeded, w=115\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=115\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,76],[0,3,6],[1,2,64],[1,3,98],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(2,3)=45,(1,2)=64,(0,1)=74,(0,2)=76,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=45 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=64 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,77],[0,3,1],[0,5,76],[0,6,79],[1,4,46],[1,5,87],[2,6,73],[3,4,49],[3,6,8],[4,5,34],[5,6,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,3,1],[0,5,76],[0,6,79],[1,4,46],[1,5,87],[2,6,73],[3,4,49],[3,6,8],[4,5,34],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,3,1],[0,5,76],[0,6,79],[1,4,46],[1,5,87],[2,6,73],[3,4,49],[3,6,8],[4,5,34],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (2,6)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,3,1],[0,5,76],[0,6,79],[1,4,46],[1,5,87],[2,6,73],[3,4,49],[3,6,8],[4,5,34],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (3,6)=8, w=9\",\"Add (5,6)=14, w=23\",\"Add (4,5)=34, w=57\",\"Add (1,4)=46, w=103\",\"Add (2,6)=73, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,3,1],[0,5,76],[0,6,79],[1,4,46],[1,5,87],[2,6,73],[3,4,49],[3,6,8],[4,5,34],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (3,6)=8 Succeeded, w=9\",\"Add (5,6)=14 Succeeded, w=23\",\"Add (4,5)=34 Succeeded, w=57\",\"Add (1,4)=46 Succeeded, w=103\",\"Add (3,4)=49 Failed, w=103\",\"Add (2,6)=73 Succeeded, w=176\",\"Add (0,5)=76 Failed, w=176\",\"Add (0,2)=77 Failed, w=176\",\"Add (0,6)=79 Failed, w=176\",\"Add (1,5)=87 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,3,1],[0,5,76],[0,6,79],[1,4,46],[1,5,87],[2,6,73],[3,4,49],[3,6,8],[4,5,34],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(3,6)=8,(5,6)=14,(4,5)=34,(1,4)=46,(3,4)=49,(2,6)=73,(0,5)=76,(0,2)=77,(0,6)=79,(1,5)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(3)=0, Find(6)=6, Add (3,6)=8 Succeeded, w=9\",\"Find(5)=5, Find(6)=0, Add (5,6)=14 Succeeded, w=23\",\"Find(4)=4, Find(5)=0, Add (4,5)=34 Succeeded, w=57\",\"Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=103\",\"Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=103\",\"Find(2)=2, Find(6)=0, Add (2,6)=73 Succeeded, w=176\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=176\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=176\",\"Find(0)=0, Find(6)=0, Add (0,6)=79 Failed, w=176\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,77],[0,3,1],[0,5,76],[0,6,79],[1,4,46],[1,5,87],[2,6,73],[3,4,49],[3,6,8],[4,5,34],[5,6,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(3,6)=8,(5,6)=14,(4,5)=34,(1,4)=46,(3,4)=49,(2,6)=73,(0,5)=76,(0,2)=77,(0,6)=79,(1,5)=87]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(5)=0, Add (4,5)=34 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=46 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=73 Succeeded, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=79 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,29],[0,2,54],[0,3,92],[0,4,99],[0,5,71],[1,2,73],[1,3,21],[1,4,57],[1,5,64],[2,3,40],[2,4,5],[2,5,9],[3,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,2,54],[0,3,92],[0,4,99],[0,5,71],[1,2,73],[1,3,21],[1,4,57],[1,5,64],[2,3,40],[2,4,5],[2,5,9],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,2,54],[0,3,92],[0,4,99],[0,5,71],[1,2,73],[1,3,21],[1,4,57],[1,5,64],[2,3,40],[2,4,5],[2,5,9],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,2,54],[0,3,92],[0,4,99],[0,5,71],[1,2,73],[1,3,21],[1,4,57],[1,5,64],[2,3,40],[2,4,5],[2,5,9],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (2,5)=9, w=14\",\"Add (1,3)=21, w=35\",\"Add (0,1)=29, w=64\",\"Add (2,3)=40, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,2,54],[0,3,92],[0,4,99],[0,5,71],[1,2,73],[1,3,21],[1,4,57],[1,5,64],[2,3,40],[2,4,5],[2,5,9],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (2,5)=9 Succeeded, w=14\",\"Add (1,3)=21 Succeeded, w=35\",\"Add (0,1)=29 Succeeded, w=64\",\"Add (2,3)=40 Succeeded, w=104\",\"Add (3,4)=42 Failed, w=104\",\"Add (0,2)=54 Failed, w=104\",\"Add (1,4)=57 Failed, w=104\",\"Add (1,5)=64 Failed, w=104\",\"Add (0,5)=71 Failed, w=104\",\"Add (1,2)=73 Failed, w=104\",\"Add (0,3)=92 Failed, w=104\",\"Add (0,4)=99 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,2,54],[0,3,92],[0,4,99],[0,5,71],[1,2,73],[1,3,21],[1,4,57],[1,5,64],[2,3,40],[2,4,5],[2,5,9],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(2,5)=9,(1,3)=21,(0,1)=29,(2,3)=40,(3,4)=42,(0,2)=54,(1,4)=57,(1,5)=64,(0,5)=71,(1,2)=73,(0,3)=92,(0,4)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=64\",\"Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=104\",\"Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=104\",\"Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=104\",\"Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=104\",\"Find(1)=2, Find(5)=2, Add (1,5)=64 Failed, w=104\",\"Find(0)=2, Find(5)=2, Add (0,5)=71 Failed, w=104\",\"Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=104\",\"Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=104\",\"Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,2,54],[0,3,92],[0,4,99],[0,5,71],[1,2,73],[1,3,21],[1,4,57],[1,5,64],[2,3,40],[2,4,5],[2,5,9],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(2,5)=9,(1,3)=21,(0,1)=29,(2,3)=40,(3,4)=42,(0,2)=54,(1,4)=57,(1,5)=64,(0,5)=71,(1,2)=73,(0,3)=92,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=64\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=104\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=54 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=64 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=71 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,87],[0,2,20],[0,3,10],[1,2,67],[1,3,25],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,20],[0,3,10],[1,2,67],[1,3,25],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,20],[0,3,10],[1,2,67],[1,3,25],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,20],[0,3,10],[1,2,67],[1,3,25],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (0,2)=20, w=30\",\"Add (1,3)=25, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,20],[0,3,10],[1,2,67],[1,3,25],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (0,2)=20 Succeeded, w=30\",\"Add (1,3)=25 Succeeded, w=55\",\"Add (1,2)=67 Failed, w=55\",\"Add (2,3)=69 Failed, w=55\",\"Add (0,1)=87 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,20],[0,3,10],[1,2,67],[1,3,25],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,2)=20,(1,3)=25,(1,2)=67,(2,3)=69,(0,1)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=30\",\"Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=55\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=55\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=55\",\"Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,20],[0,3,10],[1,2,67],[1,3,25],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,2)=20,(1,3)=25,(1,2)=67,(2,3)=69,(0,1)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=25 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,34],[0,2,18],[0,3,86],[1,2,70],[2,3,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,18],[0,3,86],[1,2,70],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,18],[0,3,86],[1,2,70],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,18],[0,3,86],[1,2,70],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (0,2)=18, w=22\",\"Add (0,1)=34, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,18],[0,3,86],[1,2,70],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (0,2)=18 Succeeded, w=22\",\"Add (0,1)=34 Succeeded, w=56\",\"Add (1,2)=70 Failed, w=56\",\"Add (0,3)=86 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,18],[0,3,86],[1,2,70],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,2)=18,(0,1)=34,(1,2)=70,(0,3)=86]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=22\",\"Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=56\",\"Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=56\",\"Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,18],[0,3,86],[1,2,70],[2,3,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,2)=18,(0,1)=34,(1,2)=70,(0,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=34 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,55],[1,3,1],[2,3,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,55],[1,3,1],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,55],[1,3,1],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,55],[1,3,1],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (0,3)=55, w=56\",\"Add (2,3)=71, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,55],[1,3,1],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (0,3)=55 Succeeded, w=56\",\"Add (2,3)=71 Succeeded, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,55],[1,3,1],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,3)=55,(2,3)=71]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=1, Add (0,3)=55 Succeeded, w=56\",\"Find(2)=2, Find(3)=1, Add (2,3)=71 Succeeded, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,55],[1,3,1],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,3)=55,(2,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=55 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=71 Succeeded, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,7],[0,3,69],[1,2,81],[1,3,50],[1,4,24],[2,3,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,69],[1,2,81],[1,3,50],[1,4,24],[2,3,90]]}",
"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\":[[0,2,7],[0,3,69],[1,2,81],[1,3,50],[1,4,24],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,69],[1,2,81],[1,3,50],[1,4,24],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (1,4)=24, w=31\",\"Add (1,3)=50, w=81\",\"Add (0,3)=69, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,69],[1,2,81],[1,3,50],[1,4,24],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (1,4)=24 Succeeded, w=31\",\"Add (1,3)=50 Succeeded, w=81\",\"Add (0,3)=69 Succeeded, w=150\",\"Add (1,2)=81 Failed, w=150\",\"Add (2,3)=90 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,69],[1,2,81],[1,3,50],[1,4,24],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(1,4)=24,(1,3)=50,(0,3)=69,(1,2)=81,(2,3)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=31\",\"Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=81\",\"Find(0)=0, Find(3)=1, Add (0,3)=69 Succeeded, w=150\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=150\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,7],[0,3,69],[1,2,81],[1,3,50],[1,4,24],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(1,4)=24,(1,3)=50,(0,3)=69,(1,2)=81,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=50 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=69 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,73],[0,3,10],[1,2,31],[1,3,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,10],[1,2,31],[1,3,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,10],[1,2,31],[1,3,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,10],[1,2,31],[1,3,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,3)=14, w=24\",\"Add (1,2)=31, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,10],[1,2,31],[1,3,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,3)=14 Succeeded, w=24\",\"Add (1,2)=31 Succeeded, w=55\",\"Add (0,1)=73 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,10],[1,2,31],[1,3,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=14,(1,2)=31,(0,1)=73]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=24\",\"Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=55\",\"Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,3,10],[1,2,31],[1,3,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,3)=14,(1,2)=31,(0,1)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=31 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,0],[0,2,38],[0,3,52],[1,2,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,38],[0,3,52],[1,2,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,38],[0,3,52],[1,2,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,38],[0,3,52],[1,2,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (0,2)=38, w=38\",\"Add (0,3)=52, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,38],[0,3,52],[1,2,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (0,2)=38 Succeeded, w=38\",\"Add (0,3)=52 Succeeded, w=90\",\"Add (1,2)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,38],[0,3,52],[1,2,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,2)=38,(0,3)=52,(1,2)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=38\",\"Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=90\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,38],[0,3,52],[1,2,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,2)=38,(0,3)=52,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,95],[1,2,48],[1,3,97],[1,4,52],[2,3,66],[2,4,59],[3,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,95],[1,2,48],[1,3,97],[1,4,52],[2,3,66],[2,4,59],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,95],[1,2,48],[1,3,97],[1,4,52],[2,3,66],[2,4,59],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,95],[1,2,48],[1,3,97],[1,4,52],[2,3,66],[2,4,59],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=18, w=18\",\"Add (1,2)=48, w=66\",\"Add (1,4)=52, w=118\",\"Add (0,3)=95, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,95],[1,2,48],[1,3,97],[1,4,52],[2,3,66],[2,4,59],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=18 Succeeded, w=18\",\"Add (1,2)=48 Succeeded, w=66\",\"Add (1,4)=52 Succeeded, w=118\",\"Add (2,4)=59 Failed, w=118\",\"Add (2,3)=66 Failed, w=118\",\"Add (0,3)=95 Succeeded, w=213\",\"Add (1,3)=97 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,95],[1,2,48],[1,3,97],[1,4,52],[2,3,66],[2,4,59],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=18,(1,2)=48,(1,4)=52,(2,4)=59,(2,3)=66,(0,3)=95,(1,3)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=66\",\"Find(1)=1, Find(4)=3, Add (1,4)=52 Succeeded, w=118\",\"Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=118\",\"Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=118\",\"Find(0)=0, Find(3)=1, Add (0,3)=95 Succeeded, w=213\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,95],[1,2,48],[1,3,97],[1,4,52],[2,3,66],[2,4,59],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=18,(1,2)=48,(1,4)=52,(2,4)=59,(2,3)=66,(0,3)=95,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=52 Succeeded, w=118\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=118\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=95 Succeeded, w=213\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,2,76],[0,3,72],[0,4,56],[0,5,84],[1,3,16],[1,4,74],[1,5,25],[2,3,70],[2,4,90],[3,4,29],[3,5,67],[4,5,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,76],[0,3,72],[0,4,56],[0,5,84],[1,3,16],[1,4,74],[1,5,25],[2,3,70],[2,4,90],[3,4,29],[3,5,67],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,76],[0,3,72],[0,4,56],[0,5,84],[1,3,16],[1,4,74],[1,5,25],[2,3,70],[2,4,90],[3,4,29],[3,5,67],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,76],[0,3,72],[0,4,56],[0,5,84],[1,3,16],[1,4,74],[1,5,25],[2,3,70],[2,4,90],[3,4,29],[3,5,67],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (1,3)=16, w=18\",\"Add (1,5)=25, w=43\",\"Add (0,1)=33, w=76\",\"Add (2,3)=70, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,76],[0,3,72],[0,4,56],[0,5,84],[1,3,16],[1,4,74],[1,5,25],[2,3,70],[2,4,90],[3,4,29],[3,5,67],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (1,3)=16 Succeeded, w=18\",\"Add (1,5)=25 Succeeded, w=43\",\"Add (3,4)=29 Failed, w=43\",\"Add (0,1)=33 Succeeded, w=76\",\"Add (0,4)=56 Failed, w=76\",\"Add (3,5)=67 Failed, w=76\",\"Add (2,3)=70 Succeeded, w=146\",\"Add (0,3)=72 Failed, w=146\",\"Add (1,4)=74 Failed, w=146\",\"Add (0,2)=76 Failed, w=146\",\"Add (0,5)=84 Failed, w=146\",\"Add (2,4)=90 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,76],[0,3,72],[0,4,56],[0,5,84],[1,3,16],[1,4,74],[1,5,25],[2,3,70],[2,4,90],[3,4,29],[3,5,67],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(1,3)=16,(1,5)=25,(3,4)=29,(0,1)=33,(0,4)=56,(3,5)=67,(2,3)=70,(0,3)=72,(1,4)=74,(0,2)=76,(0,5)=84,(2,4)=90]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=18\",\"Find(1)=1, Find(5)=4, Add (1,5)=25 Succeeded, w=43\",\"Find(3)=1, Find(4)=1, Add (3,4)=29 Failed, w=43\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=76\",\"Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=76\",\"Find(3)=1, Find(5)=1, Add (3,5)=67 Failed, w=76\",\"Find(2)=2, Find(3)=1, Add (2,3)=70 Succeeded, w=146\",\"Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=146\",\"Find(1)=1, Find(4)=1, Add (1,4)=74 Failed, w=146\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=146\",\"Find(0)=1, Find(5)=1, Add (0,5)=84 Failed, w=146\",\"Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,76],[0,3,72],[0,4,56],[0,5,84],[1,3,16],[1,4,74],[1,5,25],[2,3,70],[2,4,90],[3,4,29],[3,5,67],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(1,3)=16,(1,5)=25,(3,4)=29,(0,1)=33,(0,4)=56,(3,5)=67,(2,3)=70,(0,3)=72,(1,4)=74,(0,2)=76,(0,5)=84,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=25 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4}, Find(3)=1, Find(4)=1, Add (3,4)=29 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(4)=1, Add (0,4)=56 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=67 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=70 Succeeded, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=74 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=84 Failed, w=146\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,28],[0,3,14],[0,4,5],[0,5,35],[0,6,84],[1,2,48],[1,3,89],[1,4,82],[1,5,23],[1,6,95],[2,3,32],[2,5,66],[2,6,31],[3,4,25],[3,5,18],[3,6,86],[4,5,67],[5,6,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,5],[0,5,35],[0,6,84],[1,2,48],[1,3,89],[1,4,82],[1,5,23],[1,6,95],[2,3,32],[2,5,66],[2,6,31],[3,4,25],[3,5,18],[3,6,86],[4,5,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,5],[0,5,35],[0,6,84],[1,2,48],[1,3,89],[1,4,82],[1,5,23],[1,6,95],[2,3,32],[2,5,66],[2,6,31],[3,4,25],[3,5,18],[3,6,86],[4,5,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (2,3)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,5],[0,5,35],[0,6,84],[1,2,48],[1,3,89],[1,4,82],[1,5,23],[1,6,95],[2,3,32],[2,5,66],[2,6,31],[3,4,25],[3,5,18],[3,6,86],[4,5,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (0,3)=14, w=19\",\"Add (3,5)=18, w=37\",\"Add (1,5)=23, w=60\",\"Add (2,6)=31, w=91\",\"Add (2,3)=32, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,5],[0,5,35],[0,6,84],[1,2,48],[1,3,89],[1,4,82],[1,5,23],[1,6,95],[2,3,32],[2,5,66],[2,6,31],[3,4,25],[3,5,18],[3,6,86],[4,5,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (0,3)=14 Succeeded, w=19\",\"Add (3,5)=18 Succeeded, w=37\",\"Add (1,5)=23 Succeeded, w=60\",\"Add (3,4)=25 Failed, w=60\",\"Add (0,1)=28 Failed, w=60\",\"Add (2,6)=31 Succeeded, w=91\",\"Add (2,3)=32 Succeeded, w=123\",\"Add (0,5)=35 Failed, w=123\",\"Add (1,2)=48 Failed, w=123\",\"Add (2,5)=66 Failed, w=123\",\"Add (4,5)=67 Failed, w=123\",\"Add (5,6)=71 Failed, w=123\",\"Add (1,4)=82 Failed, w=123\",\"Add (0,6)=84 Failed, w=123\",\"Add (3,6)=86 Failed, w=123\",\"Add (1,3)=89 Failed, w=123\",\"Add (1,6)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,5],[0,5,35],[0,6,84],[1,2,48],[1,3,89],[1,4,82],[1,5,23],[1,6,95],[2,3,32],[2,5,66],[2,6,31],[3,4,25],[3,5,18],[3,6,86],[4,5,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(0,3)=14,(3,5)=18,(1,5)=23,(3,4)=25,(0,1)=28,(2,6)=31,(2,3)=32,(0,5)=35,(1,2)=48,(2,5)=66,(4,5)=67,(5,6)=71,(1,4)=82,(0,6)=84,(3,6)=86,(1,3)=89,(1,6)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=19\",\"Find(3)=0, Find(5)=5, Add (3,5)=18 Succeeded, w=37\",\"Find(1)=1, Find(5)=0, Add (1,5)=23 Succeeded, w=60\",\"Find(3)=0, Find(4)=0, Add (3,4)=25 Failed, w=60\",\"Find(0)=0, Find(1)=0, Add (0,1)=28 Failed, w=60\",\"Find(2)=2, Find(6)=6, Add (2,6)=31 Succeeded, w=91\",\"Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=123\",\"Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=123\",\"Find(1)=2, Find(2)=2, Add (1,2)=48 Failed, w=123\",\"Find(2)=2, Find(5)=2, Add (2,5)=66 Failed, w=123\",\"Find(4)=2, Find(5)=2, Add (4,5)=67 Failed, w=123\",\"Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=123\",\"Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=123\",\"Find(0)=2, Find(6)=2, Add (0,6)=84 Failed, w=123\",\"Find(3)=2, Find(6)=2, Add (3,6)=86 Failed, w=123\",\"Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=123\",\"Find(1)=2, Find(6)=2, Add (1,6)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,3,14],[0,4,5],[0,5,35],[0,6,84],[1,2,48],[1,3,89],[1,4,82],[1,5,23],[1,6,95],[2,3,32],[2,5,66],[2,6,31],[3,4,25],[3,5,18],[3,6,86],[4,5,67],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(0,3)=14,(3,5)=18,(1,5)=23,(3,4)=25,(0,1)=28,(2,6)=31,(2,3)=32,(0,5)=35,(1,2)=48,(2,5)=66,(4,5)=67,(5,6)=71,(1,4)=82,(0,6)=84,(3,6)=86,(1,3)=89,(1,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(5)=5, Add (3,5)=18 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=23 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(4)=0, Add (3,4)=25 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(1)=0, Add (0,1)=28 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=31 Succeeded, w=91\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2}, Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=123\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=48 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=66 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=67 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=84 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=86 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,30],[0,2,23],[1,3,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,23],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,23],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,23],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=23, w=23\",\"Add (0,1)=30, w=53\",\"Add (1,3)=62, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,23],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=23 Succeeded, w=23\",\"Add (0,1)=30 Succeeded, w=53\",\"Add (1,3)=62 Succeeded, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,23],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=23,(0,1)=30,(1,3)=62]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=53\",\"Find(1)=0, Find(3)=3, Add (1,3)=62 Succeeded, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,23],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=23,(0,1)=30,(1,3)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=62 Succeeded, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,18],[0,3,13],[0,4,32],[0,5,18],[1,2,1],[1,4,38],[1,5,99],[2,3,38],[2,4,66],[2,5,87],[3,4,29],[4,5,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,18],[0,3,13],[0,4,32],[0,5,18],[1,2,1],[1,4,38],[1,5,99],[2,3,38],[2,4,66],[2,5,87],[3,4,29],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,18],[0,3,13],[0,4,32],[0,5,18],[1,2,1],[1,4,38],[1,5,99],[2,3,38],[2,4,66],[2,5,87],[3,4,29],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (3,4)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,18],[0,3,13],[0,4,32],[0,5,18],[1,2,1],[1,4,38],[1,5,99],[2,3,38],[2,4,66],[2,5,87],[3,4,29],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,3)=13, w=14\",\"Add (0,2)=18, w=32\",\"Add (0,5)=18, w=50\",\"Add (3,4)=29, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,18],[0,3,13],[0,4,32],[0,5,18],[1,2,1],[1,4,38],[1,5,99],[2,3,38],[2,4,66],[2,5,87],[3,4,29],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,3)=13 Succeeded, w=14\",\"Add (0,2)=18 Succeeded, w=32\",\"Add (0,5)=18 Succeeded, w=50\",\"Add (3,4)=29 Succeeded, w=79\",\"Add (0,4)=32 Failed, w=79\",\"Add (1,4)=38 Failed, w=79\",\"Add (2,3)=38 Failed, w=79\",\"Add (0,1)=41 Failed, w=79\",\"Add (2,4)=66 Failed, w=79\",\"Add (4,5)=71 Failed, w=79\",\"Add (2,5)=87 Failed, w=79\",\"Add (1,5)=99 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,18],[0,3,13],[0,4,32],[0,5,18],[1,2,1],[1,4,38],[1,5,99],[2,3,38],[2,4,66],[2,5,87],[3,4,29],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=13,(0,2)=18,(0,5)=18,(3,4)=29,(0,4)=32,(1,4)=38,(2,3)=38,(0,1)=41,(2,4)=66,(4,5)=71,(2,5)=87,(1,5)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=14\",\"Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=32\",\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=50\",\"Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=79\",\"Find(0)=0, Find(4)=0, Add (0,4)=32 Failed, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=79\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=79\",\"Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=79\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=79\",\"Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=79\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=79\",\"Find(1)=0, Find(5)=0, Add (1,5)=99 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,18],[0,3,13],[0,4,32],[0,5,18],[1,2,1],[1,4,38],[1,5,99],[2,3,38],[2,4,66],[2,5,87],[3,4,29],[4,5,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=13,(0,2)=18,(0,5)=18,(3,4)=29,(0,4)=32,(1,4)=38,(2,3)=38,(0,1)=41,(2,4)=66,(4,5)=71,(2,5)=87,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=4, Add (3,4)=29 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=32 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=41 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=99 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,97],[0,2,0],[0,3,98],[0,4,47],[1,3,73],[1,4,71],[2,3,2],[2,4,43],[3,4,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,0],[0,3,98],[0,4,47],[1,3,73],[1,4,71],[2,3,2],[2,4,43],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,0],[0,3,98],[0,4,47],[1,3,73],[1,4,71],[2,3,2],[2,4,43],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,0],[0,3,98],[0,4,47],[1,3,73],[1,4,71],[2,3,2],[2,4,43],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (2,3)=2, w=2\",\"Add (3,4)=25, w=27\",\"Add (1,4)=71, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,0],[0,3,98],[0,4,47],[1,3,73],[1,4,71],[2,3,2],[2,4,43],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (2,3)=2 Succeeded, w=2\",\"Add (3,4)=25 Succeeded, w=27\",\"Add (2,4)=43 Failed, w=27\",\"Add (0,4)=47 Failed, w=27\",\"Add (1,4)=71 Succeeded, w=98\",\"Add (1,3)=73 Failed, w=98\",\"Add (0,1)=97 Failed, w=98\",\"Add (0,3)=98 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,0],[0,3,98],[0,4,47],[1,3,73],[1,4,71],[2,3,2],[2,4,43],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,3)=2,(3,4)=25,(2,4)=43,(0,4)=47,(1,4)=71,(1,3)=73,(0,1)=97,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(2)=0, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(3)=0, Find(4)=4, Add (3,4)=25 Succeeded, w=27\",\"Find(2)=0, Find(4)=0, Add (2,4)=43 Failed, w=27\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=27\",\"Find(1)=1, Find(4)=0, Add (1,4)=71 Succeeded, w=98\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=98\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=98\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,0],[0,3,98],[0,4,47],[1,3,73],[1,4,71],[2,3,2],[2,4,43],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,3)=2,(3,4)=25,(2,4)=43,(0,4)=47,(1,4)=71,(1,3)=73,(0,1)=97,(0,3)=98]\",\"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: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=25 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=43 Failed, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=71 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,70],[0,2,100],[0,3,63],[0,5,71],[0,6,46],[1,4,39],[1,6,39],[2,6,18],[3,4,33],[4,5,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,100],[0,3,63],[0,5,71],[0,6,46],[1,4,39],[1,6,39],[2,6,18],[3,4,33],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,100],[0,3,63],[0,5,71],[0,6,46],[1,4,39],[1,6,39],[2,6,18],[3,4,33],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (0,5)\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,100],[0,3,63],[0,5,71],[0,6,46],[1,4,39],[1,6,39],[2,6,18],[3,4,33],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=18, w=18\",\"Add (3,4)=33, w=51\",\"Add (1,4)=39, w=90\",\"Add (1,6)=39, w=129\",\"Add (0,6)=46, w=175\",\"Add (0,5)=71, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,100],[0,3,63],[0,5,71],[0,6,46],[1,4,39],[1,6,39],[2,6,18],[3,4,33],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=18 Succeeded, w=18\",\"Add (3,4)=33 Succeeded, w=51\",\"Add (1,4)=39 Succeeded, w=90\",\"Add (1,6)=39 Succeeded, w=129\",\"Add (0,6)=46 Succeeded, w=175\",\"Add (0,3)=63 Failed, w=175\",\"Add (0,1)=70 Failed, w=175\",\"Add (0,5)=71 Succeeded, w=246\",\"Add (4,5)=79 Failed, w=246\",\"Add (0,2)=100 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,100],[0,3,63],[0,5,71],[0,6,46],[1,4,39],[1,6,39],[2,6,18],[3,4,33],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=18,(3,4)=33,(1,4)=39,(1,6)=39,(0,6)=46,(0,3)=63,(0,1)=70,(0,5)=71,(4,5)=79,(0,2)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=18\",\"Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=51\",\"Find(1)=1, Find(4)=3, Add (1,4)=39 Succeeded, w=90\",\"Find(1)=3, Find(6)=2, Add (1,6)=39 Succeeded, w=129\",\"Find(0)=0, Find(6)=3, Add (0,6)=46 Succeeded, w=175\",\"Find(0)=3, Find(3)=3, Add (0,3)=63 Failed, w=175\",\"Find(0)=3, Find(1)=3, Add (0,1)=70 Failed, w=175\",\"Find(0)=3, Find(5)=5, Add (0,5)=71 Succeeded, w=246\",\"Find(4)=3, Find(5)=3, Add (4,5)=79 Failed, w=246\",\"Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,100],[0,3,63],[0,5,71],[0,6,46],[1,4,39],[1,6,39],[2,6,18],[3,4,33],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=18,(3,4)=33,(1,4)=39,(1,6)=39,(0,6)=46,(0,3)=63,(0,1)=70,(0,5)=71,(4,5)=79,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=51\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(1)=1, Find(4)=3, Add (1,4)=39 Succeeded, w=90\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 2}, Find(1)=3, Find(6)=2, Add (1,6)=39 Succeeded, w=129\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=46 Succeeded, w=175\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=63 Failed, w=175\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=70 Failed, w=175\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=5, Add (0,5)=71 Succeeded, w=246\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=79 Failed, w=246\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,62],[0,3,14],[0,4,96],[0,5,22],[1,4,90],[2,3,59],[2,5,93],[3,4,3],[3,5,94],[4,5,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,14],[0,4,96],[0,5,22],[1,4,90],[2,3,59],[2,5,93],[3,4,3],[3,5,94],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,14],[0,4,96],[0,5,22],[1,4,90],[2,3,59],[2,5,93],[3,4,3],[3,5,94],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,14],[0,4,96],[0,5,22],[1,4,90],[2,3,59],[2,5,93],[3,4,3],[3,5,94],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (0,3)=14, w=17\",\"Add (4,5)=14, w=31\",\"Add (2,3)=59, w=90\",\"Add (0,1)=62, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,14],[0,4,96],[0,5,22],[1,4,90],[2,3,59],[2,5,93],[3,4,3],[3,5,94],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (0,3)=14 Succeeded, w=17\",\"Add (4,5)=14 Succeeded, w=31\",\"Add (0,5)=22 Failed, w=31\",\"Add (2,3)=59 Succeeded, w=90\",\"Add (0,1)=62 Succeeded, w=152\",\"Add (1,4)=90 Failed, w=152\",\"Add (2,5)=93 Failed, w=152\",\"Add (3,5)=94 Failed, w=152\",\"Add (0,4)=96 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,14],[0,4,96],[0,5,22],[1,4,90],[2,3,59],[2,5,93],[3,4,3],[3,5,94],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,3)=14,(4,5)=14,(0,5)=22,(2,3)=59,(0,1)=62,(1,4)=90,(2,5)=93,(3,5)=94,(0,4)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=17\",\"Find(4)=3, Find(5)=5, Add (4,5)=14 Succeeded, w=31\",\"Find(0)=3, Find(5)=3, Add (0,5)=22 Failed, w=31\",\"Find(2)=2, Find(3)=3, Add (2,3)=59 Succeeded, w=90\",\"Find(0)=3, Find(1)=1, Add (0,1)=62 Succeeded, w=152\",\"Find(1)=3, Find(4)=3, Add (1,4)=90 Failed, w=152\",\"Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=152\",\"Find(3)=3, Find(5)=3, Add (3,5)=94 Failed, w=152\",\"Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,3,14],[0,4,96],[0,5,22],[1,4,90],[2,3,59],[2,5,93],[3,4,3],[3,5,94],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(0,3)=14,(4,5)=14,(0,5)=22,(2,3)=59,(0,1)=62,(1,4)=90,(2,5)=93,(3,5)=94,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=17\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=5, Add (4,5)=14 Succeeded, w=31\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=22 Failed, w=31\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=59 Succeeded, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=1, Add (0,1)=62 Succeeded, w=152\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=90 Failed, w=152\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=152\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=94 Failed, w=152\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,59],[0,3,20],[0,4,4],[0,5,85],[0,7,53],[1,2,85],[1,4,15],[1,6,22],[1,7,15],[2,4,89],[2,6,36],[3,5,83],[3,6,31],[3,7,15],[4,5,67],[4,6,71],[4,7,74],[5,6,14],[5,7,57],[6,7,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,20],[0,4,4],[0,5,85],[0,7,53],[1,2,85],[1,4,15],[1,6,22],[1,7,15],[2,4,89],[2,6,36],[3,5,83],[3,6,31],[3,7,15],[4,5,67],[4,6,71],[4,7,74],[5,6,14],[5,7,57],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,20],[0,4,4],[0,5,85],[0,7,53],[1,2,85],[1,4,15],[1,6,22],[1,7,15],[2,4,89],[2,6,36],[3,5,83],[3,6,31],[3,7,15],[4,5,67],[4,6,71],[4,7,74],[5,6,14],[5,7,57],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (5,6)\",\"Add (1,4)\",\"Add (1,7)\",\"Add (3,7)\",\"Add (1,6)\",\"Add (2,6)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,20],[0,4,4],[0,5,85],[0,7,53],[1,2,85],[1,4,15],[1,6,22],[1,7,15],[2,4,89],[2,6,36],[3,5,83],[3,6,31],[3,7,15],[4,5,67],[4,6,71],[4,7,74],[5,6,14],[5,7,57],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (5,6)=14, w=18\",\"Add (1,4)=15, w=33\",\"Add (1,7)=15, w=48\",\"Add (3,7)=15, w=63\",\"Add (1,6)=22, w=85\",\"Add (2,6)=36, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,20],[0,4,4],[0,5,85],[0,7,53],[1,2,85],[1,4,15],[1,6,22],[1,7,15],[2,4,89],[2,6,36],[3,5,83],[3,6,31],[3,7,15],[4,5,67],[4,6,71],[4,7,74],[5,6,14],[5,7,57],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (5,6)=14 Succeeded, w=18\",\"Add (1,4)=15 Succeeded, w=33\",\"Add (1,7)=15 Succeeded, w=48\",\"Add (3,7)=15 Succeeded, w=63\",\"Add (0,3)=20 Failed, w=63\",\"Add (1,6)=22 Succeeded, w=85\",\"Add (3,6)=31 Failed, w=85\",\"Add (2,6)=36 Succeeded, w=121\",\"Add (0,7)=53 Failed, w=121\",\"Add (5,7)=57 Failed, w=121\",\"Add (0,2)=59 Failed, w=121\",\"Add (6,7)=63 Failed, w=121\",\"Add (4,5)=67 Failed, w=121\",\"Add (4,6)=71 Failed, w=121\",\"Add (4,7)=74 Failed, w=121\",\"Add (3,5)=83 Failed, w=121\",\"Add (0,5)=85 Failed, w=121\",\"Add (1,2)=85 Failed, w=121\",\"Add (2,4)=89 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,20],[0,4,4],[0,5,85],[0,7,53],[1,2,85],[1,4,15],[1,6,22],[1,7,15],[2,4,89],[2,6,36],[3,5,83],[3,6,31],[3,7,15],[4,5,67],[4,6,71],[4,7,74],[5,6,14],[5,7,57],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(5,6)=14,(1,4)=15,(1,7)=15,(3,7)=15,(0,3)=20,(1,6)=22,(3,6)=31,(2,6)=36,(0,7)=53,(5,7)=57,(0,2)=59,(6,7)=63,(4,5)=67,(4,6)=71,(4,7)=74,(3,5)=83,(0,5)=85,(1,2)=85,(2,4)=89]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=18\",\"Find(1)=1, Find(4)=0, Add (1,4)=15 Succeeded, w=33\",\"Find(1)=0, Find(7)=7, Add (1,7)=15 Succeeded, w=48\",\"Find(3)=3, Find(7)=0, Add (3,7)=15 Succeeded, w=63\",\"Find(0)=0, Find(3)=0, Add (0,3)=20 Failed, w=63\",\"Find(1)=0, Find(6)=5, Add (1,6)=22 Succeeded, w=85\",\"Find(3)=0, Find(6)=0, Add (3,6)=31 Failed, w=85\",\"Find(2)=2, Find(6)=0, Add (2,6)=36 Succeeded, w=121\",\"Find(0)=0, Find(7)=0, Add (0,7)=53 Failed, w=121\",\"Find(5)=0, Find(7)=0, Add (5,7)=57 Failed, w=121\",\"Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=121\",\"Find(6)=0, Find(7)=0, Add (6,7)=63 Failed, w=121\",\"Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=121\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=121\",\"Find(4)=0, Find(7)=0, Add (4,7)=74 Failed, w=121\",\"Find(3)=0, Find(5)=0, Add (3,5)=83 Failed, w=121\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=121\",\"Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=121\",\"Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,59],[0,3,20],[0,4,4],[0,5,85],[0,7,53],[1,2,85],[1,4,15],[1,6,22],[1,7,15],[2,4,89],[2,6,36],[3,5,83],[3,6,31],[3,7,15],[4,5,67],[4,6,71],[4,7,74],[5,6,14],[5,7,57],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(5,6)=14,(1,4)=15,(1,7)=15,(3,7)=15,(0,3)=20,(1,6)=22,(3,6)=31,(2,6)=36,(0,7)=53,(5,7)=57,(0,2)=59,(6,7)=63,(4,5)=67,(4,6)=71,(4,7)=74,(3,5)=83,(0,5)=85,(1,2)=85,(2,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=15 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=15 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 5, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=15 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 5, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=20 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(6)=5, Add (1,6)=22 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=31 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(6)=0, Add (2,6)=36 Succeeded, w=121\",\"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)=53 Failed, w=121\",\"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)=57 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=121\",\"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)=63 Failed, w=121\",\"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)=67 Failed, w=121\",\"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)=71 Failed, w=121\",\"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)=74 Failed, w=121\",\"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)=83 Failed, w=121\",\"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)=85 Failed, w=121\",\"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)=85 Failed, w=121\",\"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)=89 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,56],[0,3,5],[1,2,64],[1,3,13],[1,4,84],[1,5,73],[1,6,61],[2,3,82],[2,6,62],[3,4,35],[3,6,53],[4,5,12],[4,6,95],[5,6,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,56],[0,3,5],[1,2,64],[1,3,13],[1,4,84],[1,5,73],[1,6,61],[2,3,82],[2,6,62],[3,4,35],[3,6,53],[4,5,12],[4,6,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,56],[0,3,5],[1,2,64],[1,3,13],[1,4,84],[1,5,73],[1,6,61],[2,3,82],[2,6,62],[3,4,35],[3,6,53],[4,5,12],[4,6,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,56],[0,3,5],[1,2,64],[1,3,13],[1,4,84],[1,5,73],[1,6,61],[2,3,82],[2,6,62],[3,4,35],[3,6,53],[4,5,12],[4,6,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (4,5)=12, w=17\",\"Add (1,3)=13, w=30\",\"Add (5,6)=28, w=58\",\"Add (3,4)=35, w=93\",\"Add (0,2)=56, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,56],[0,3,5],[1,2,64],[1,3,13],[1,4,84],[1,5,73],[1,6,61],[2,3,82],[2,6,62],[3,4,35],[3,6,53],[4,5,12],[4,6,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (4,5)=12 Succeeded, w=17\",\"Add (1,3)=13 Succeeded, w=30\",\"Add (5,6)=28 Succeeded, w=58\",\"Add (3,4)=35 Succeeded, w=93\",\"Add (3,6)=53 Failed, w=93\",\"Add (0,2)=56 Succeeded, w=149\",\"Add (1,6)=61 Failed, w=149\",\"Add (2,6)=62 Failed, w=149\",\"Add (1,2)=64 Failed, w=149\",\"Add (1,5)=73 Failed, w=149\",\"Add (2,3)=82 Failed, w=149\",\"Add (1,4)=84 Failed, w=149\",\"Add (4,6)=95 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,56],[0,3,5],[1,2,64],[1,3,13],[1,4,84],[1,5,73],[1,6,61],[2,3,82],[2,6,62],[3,4,35],[3,6,53],[4,5,12],[4,6,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(4,5)=12,(1,3)=13,(5,6)=28,(3,4)=35,(3,6)=53,(0,2)=56,(1,6)=61,(2,6)=62,(1,2)=64,(1,5)=73,(2,3)=82,(1,4)=84,(4,6)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=17\",\"Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=30\",\"Find(5)=4, Find(6)=6, Add (5,6)=28 Succeeded, w=58\",\"Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=93\",\"Find(3)=0, Find(6)=0, Add (3,6)=53 Failed, w=93\",\"Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=149\",\"Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=149\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=149\",\"Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=149\",\"Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=149\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=149\",\"Find(4)=0, Find(6)=0, Add (4,6)=95 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,56],[0,3,5],[1,2,64],[1,3,13],[1,4,84],[1,5,73],[1,6,61],[2,3,82],[2,6,62],[3,4,35],[3,6,53],[4,5,12],[4,6,95],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(4,5)=12,(1,3)=13,(5,6)=28,(3,4)=35,(3,6)=53,(0,2)=56,(1,6)=61,(2,6)=62,(1,2)=64,(1,5)=73,(2,3)=82,(1,4)=84,(4,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=6, Add (5,6)=28 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 4}, Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=53 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=56 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=61 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=95 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,83],[0,2,67],[0,3,67],[0,4,26],[0,5,36],[1,2,93],[1,3,39],[1,4,34],[1,5,85],[2,3,31],[2,4,70],[2,5,59],[3,4,41],[3,5,0],[4,5,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,67],[0,3,67],[0,4,26],[0,5,36],[1,2,93],[1,3,39],[1,4,34],[1,5,85],[2,3,31],[2,4,70],[2,5,59],[3,4,41],[3,5,0],[4,5,0]]}",
"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\":[[0,1,83],[0,2,67],[0,3,67],[0,4,26],[0,5,36],[1,2,93],[1,3,39],[1,4,34],[1,5,85],[2,3,31],[2,4,70],[2,5,59],[3,4,41],[3,5,0],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,67],[0,3,67],[0,4,26],[0,5,36],[1,2,93],[1,3,39],[1,4,34],[1,5,85],[2,3,31],[2,4,70],[2,5,59],[3,4,41],[3,5,0],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (4,5)=0, w=0\",\"Add (0,4)=26, w=26\",\"Add (2,3)=31, w=57\",\"Add (1,4)=34, 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\":[[0,1,83],[0,2,67],[0,3,67],[0,4,26],[0,5,36],[1,2,93],[1,3,39],[1,4,34],[1,5,85],[2,3,31],[2,4,70],[2,5,59],[3,4,41],[3,5,0],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (4,5)=0 Succeeded, w=0\",\"Add (0,4)=26 Succeeded, w=26\",\"Add (2,3)=31 Succeeded, w=57\",\"Add (1,4)=34 Succeeded, w=91\",\"Add (0,5)=36 Failed, w=91\",\"Add (1,3)=39 Failed, w=91\",\"Add (3,4)=41 Failed, w=91\",\"Add (2,5)=59 Failed, w=91\",\"Add (0,2)=67 Failed, w=91\",\"Add (0,3)=67 Failed, w=91\",\"Add (2,4)=70 Failed, w=91\",\"Add (0,1)=83 Failed, w=91\",\"Add (1,5)=85 Failed, w=91\",\"Add (1,2)=93 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\":[[0,1,83],[0,2,67],[0,3,67],[0,4,26],[0,5,36],[1,2,93],[1,3,39],[1,4,34],[1,5,85],[2,3,31],[2,4,70],[2,5,59],[3,4,41],[3,5,0],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(4,5)=0,(0,4)=26,(2,3)=31,(1,4)=34,(0,5)=36,(1,3)=39,(3,4)=41,(2,5)=59,(0,2)=67,(0,3)=67,(2,4)=70,(0,1)=83,(1,5)=85,(1,2)=93]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=3, Add (4,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=3, Add (0,4)=26 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=57\",\"Find(1)=1, Find(4)=3, Add (1,4)=34 Succeeded, w=91\",\"Find(0)=3, Find(5)=3, Add (0,5)=36 Failed, w=91\",\"Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=91\",\"Find(3)=3, Find(4)=3, Add (3,4)=41 Failed, w=91\",\"Find(2)=3, Find(5)=3, Add (2,5)=59 Failed, w=91\",\"Find(0)=3, Find(2)=3, Add (0,2)=67 Failed, w=91\",\"Find(0)=3, Find(3)=3, Add (0,3)=67 Failed, w=91\",\"Find(2)=3, Find(4)=3, Add (2,4)=70 Failed, w=91\",\"Find(0)=3, Find(1)=3, Add (0,1)=83 Failed, w=91\",\"Find(1)=3, Find(5)=3, Add (1,5)=85 Failed, w=91\",\"Find(1)=3, Find(2)=3, Add (1,2)=93 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\":[[0,1,83],[0,2,67],[0,3,67],[0,4,26],[0,5,36],[1,2,93],[1,3,39],[1,4,34],[1,5,85],[2,3,31],[2,4,70],[2,5,59],[3,4,41],[3,5,0],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(4,5)=0,(0,4)=26,(2,3)=31,(1,4)=34,(0,5)=36,(1,3)=39,(3,4)=41,(2,5)=59,(0,2)=67,(0,3)=67,(2,4)=70,(0,1)=83,(1,5)=85,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(4)=3, Add (0,4)=26 Succeeded, w=26\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(4)=3, Add (1,4)=34 Succeeded, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=36 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=41 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=59 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=67 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=67 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=70 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=83 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=85 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,86],[0,3,43],[0,4,72],[1,2,94],[1,3,44],[1,4,54],[2,3,53],[2,4,34],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,86],[0,3,43],[0,4,72],[1,2,94],[1,3,44],[1,4,54],[2,3,53],[2,4,34],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,86],[0,3,43],[0,4,72],[1,2,94],[1,3,44],[1,4,54],[2,3,53],[2,4,34],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,86],[0,3,43],[0,4,72],[1,2,94],[1,3,44],[1,4,54],[2,3,53],[2,4,34],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=29, w=29\",\"Add (2,4)=34, w=63\",\"Add (0,1)=39, w=102\",\"Add (0,3)=43, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,86],[0,3,43],[0,4,72],[1,2,94],[1,3,44],[1,4,54],[2,3,53],[2,4,34],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=29 Succeeded, w=29\",\"Add (2,4)=34 Succeeded, w=63\",\"Add (0,1)=39 Succeeded, w=102\",\"Add (0,3)=43 Succeeded, w=145\",\"Add (1,3)=44 Failed, w=145\",\"Add (2,3)=53 Failed, w=145\",\"Add (1,4)=54 Failed, w=145\",\"Add (0,4)=72 Failed, w=145\",\"Add (0,2)=86 Failed, w=145\",\"Add (1,2)=94 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,86],[0,3,43],[0,4,72],[1,2,94],[1,3,44],[1,4,54],[2,3,53],[2,4,34],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=29,(2,4)=34,(0,1)=39,(0,3)=43,(1,3)=44,(2,3)=53,(1,4)=54,(0,4)=72,(0,2)=86,(1,2)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=29\",\"Find(2)=2, Find(4)=3, Add (2,4)=34 Succeeded, w=63\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=102\",\"Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=145\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=145\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=145\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=145\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=145\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,86],[0,3,43],[0,4,72],[1,2,94],[1,3,44],[1,4,54],[2,3,53],[2,4,34],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=29,(2,4)=34,(0,1)=39,(0,3)=43,(1,3)=44,(2,3)=53,(1,4)=54,(0,4)=72,(0,2)=86,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=34 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,7],[0,3,2],[0,4,44],[0,5,23],[0,6,20],[1,2,95],[1,3,33],[2,3,89],[2,4,80],[2,5,100],[2,6,82],[3,4,97],[3,5,38],[3,6,21],[4,5,87],[4,6,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,2],[0,4,44],[0,5,23],[0,6,20],[1,2,95],[1,3,33],[2,3,89],[2,4,80],[2,5,100],[2,6,82],[3,4,97],[3,5,38],[3,6,21],[4,5,87],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,2],[0,4,44],[0,5,23],[0,6,20],[1,2,95],[1,3,33],[2,3,89],[2,4,80],[2,5,100],[2,6,82],[3,4,97],[3,5,38],[3,6,21],[4,5,87],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,2],[0,4,44],[0,5,23],[0,6,20],[1,2,95],[1,3,33],[2,3,89],[2,4,80],[2,5,100],[2,6,82],[3,4,97],[3,5,38],[3,6,21],[4,5,87],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,2)=7, w=9\",\"Add (0,6)=20, w=29\",\"Add (0,5)=23, w=52\",\"Add (1,3)=33, w=85\",\"Add (0,4)=44, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,2],[0,4,44],[0,5,23],[0,6,20],[1,2,95],[1,3,33],[2,3,89],[2,4,80],[2,5,100],[2,6,82],[3,4,97],[3,5,38],[3,6,21],[4,5,87],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,2)=7 Succeeded, w=9\",\"Add (0,6)=20 Succeeded, w=29\",\"Add (3,6)=21 Failed, w=29\",\"Add (0,5)=23 Succeeded, w=52\",\"Add (1,3)=33 Succeeded, w=85\",\"Add (3,5)=38 Failed, w=85\",\"Add (0,4)=44 Succeeded, w=129\",\"Add (2,4)=80 Failed, w=129\",\"Add (2,6)=82 Failed, w=129\",\"Add (4,5)=87 Failed, w=129\",\"Add (2,3)=89 Failed, w=129\",\"Add (1,2)=95 Failed, w=129\",\"Add (3,4)=97 Failed, w=129\",\"Add (2,5)=100 Failed, w=129\",\"Add (4,6)=100 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,2],[0,4,44],[0,5,23],[0,6,20],[1,2,95],[1,3,33],[2,3,89],[2,4,80],[2,5,100],[2,6,82],[3,4,97],[3,5,38],[3,6,21],[4,5,87],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,2)=7,(0,6)=20,(3,6)=21,(0,5)=23,(1,3)=33,(3,5)=38,(0,4)=44,(2,4)=80,(2,6)=82,(4,5)=87,(2,3)=89,(1,2)=95,(3,4)=97,(2,5)=100,(4,6)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=9\",\"Find(0)=0, Find(6)=6, Add (0,6)=20 Succeeded, w=29\",\"Find(3)=0, Find(6)=0, Add (3,6)=21 Failed, w=29\",\"Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=52\",\"Find(1)=1, Find(3)=0, Add (1,3)=33 Succeeded, w=85\",\"Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=85\",\"Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=129\",\"Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=129\",\"Find(2)=0, Find(6)=0, Add (2,6)=82 Failed, w=129\",\"Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=129\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=129\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=129\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=129\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=129\",\"Find(4)=0, Find(6)=0, Add (4,6)=100 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,2],[0,4,44],[0,5,23],[0,6,20],[1,2,95],[1,3,33],[2,3,89],[2,4,80],[2,5,100],[2,6,82],[3,4,97],[3,5,38],[3,6,21],[4,5,87],[4,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,2)=7,(0,6)=20,(3,6)=21,(0,5)=23,(1,3)=33,(3,5)=38,(0,4)=44,(2,4)=80,(2,6)=82,(4,5)=87,(2,3)=89,(1,2)=95,(3,4)=97,(2,5)=100,(4,6)=100]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=20 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=21 Failed, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=33 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=80 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=82 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=100 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,47],[0,2,14],[0,3,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,14],[0,3,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,14],[0,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,14],[0,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (0,1)=47, w=61\",\"Add (0,3)=91, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,14],[0,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (0,1)=47 Succeeded, w=61\",\"Add (0,3)=91 Succeeded, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,14],[0,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(0,1)=47,(0,3)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=61\",\"Find(0)=0, Find(3)=3, Add (0,3)=91 Succeeded, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,2,14],[0,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(0,1)=47,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=91 Succeeded, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,68],[0,2,87],[1,2,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,87],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,87],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,87],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=53, w=53\",\"Add (0,1)=68, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,87],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=53 Succeeded, w=53\",\"Add (0,1)=68 Succeeded, w=121\",\"Add (0,2)=87 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,87],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=53,(0,1)=68,(0,2)=87]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=121\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,87],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=53,(0,1)=68,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,97],[0,3,72],[0,4,24],[0,5,33],[1,2,32],[1,3,72],[1,5,25],[2,3,75],[2,4,44],[2,5,53],[3,5,1],[4,5,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,3,72],[0,4,24],[0,5,33],[1,2,32],[1,3,72],[1,5,25],[2,3,75],[2,4,44],[2,5,53],[3,5,1],[4,5,40]]}",
"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],\"edges\":[[0,1,97],[0,3,72],[0,4,24],[0,5,33],[1,2,32],[1,3,72],[1,5,25],[2,3,75],[2,4,44],[2,5,53],[3,5,1],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (0,5)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,3,72],[0,4,24],[0,5,33],[1,2,32],[1,3,72],[1,5,25],[2,3,75],[2,4,44],[2,5,53],[3,5,1],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (0,4)=24, w=25\",\"Add (1,5)=25, w=50\",\"Add (1,2)=32, w=82\",\"Add (0,5)=33, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,3,72],[0,4,24],[0,5,33],[1,2,32],[1,3,72],[1,5,25],[2,3,75],[2,4,44],[2,5,53],[3,5,1],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (0,4)=24 Succeeded, w=25\",\"Add (1,5)=25 Succeeded, w=50\",\"Add (1,2)=32 Succeeded, w=82\",\"Add (0,5)=33 Succeeded, w=115\",\"Add (4,5)=40 Failed, w=115\",\"Add (2,4)=44 Failed, w=115\",\"Add (2,5)=53 Failed, w=115\",\"Add (0,3)=72 Failed, w=115\",\"Add (1,3)=72 Failed, w=115\",\"Add (2,3)=75 Failed, w=115\",\"Add (0,1)=97 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],\"edges\":[[0,1,97],[0,3,72],[0,4,24],[0,5,33],[1,2,32],[1,3,72],[1,5,25],[2,3,75],[2,4,44],[2,5,53],[3,5,1],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,4)=24,(1,5)=25,(1,2)=32,(0,5)=33,(4,5)=40,(2,4)=44,(2,5)=53,(0,3)=72,(1,3)=72,(2,3)=75,(0,1)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=25\",\"Find(1)=1, Find(5)=3, Add (1,5)=25 Succeeded, w=50\",\"Find(1)=3, Find(2)=2, Add (1,2)=32 Succeeded, w=82\",\"Find(0)=0, Find(5)=3, Add (0,5)=33 Succeeded, w=115\",\"Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=115\",\"Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=115\",\"Find(2)=0, Find(5)=0, Add (2,5)=53 Failed, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=115\",\"Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=115\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 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],\"edges\":[[0,1,97],[0,3,72],[0,4,24],[0,5,33],[1,2,32],[1,3,72],[1,5,25],[2,3,75],[2,4,44],[2,5,53],[3,5,1],[4,5,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,4)=24,(1,5)=25,(1,2)=32,(0,5)=33,(4,5)=40,(2,4)=44,(2,5)=53,(0,3)=72,(1,3)=72,(2,3)=75,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=25\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 0, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=25 Succeeded, w=50\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 0, 5: 3}, Find(1)=3, Find(2)=2, Add (1,2)=32 Succeeded, w=82\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=33 Succeeded, w=115\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=115\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=115\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=53 Failed, w=115\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,23],[0,2,95],[0,3,97],[0,4,84],[0,5,59],[0,6,31],[0,7,48],[1,2,58],[1,3,67],[1,4,61],[1,5,8],[1,6,13],[1,7,20],[2,3,64],[2,4,9],[2,5,6],[2,6,23],[2,7,90],[3,4,21],[3,5,55],[3,6,26],[3,7,54],[4,5,18],[4,6,86],[4,7,20],[5,6,56],[5,7,27],[6,7,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,95],[0,3,97],[0,4,84],[0,5,59],[0,6,31],[0,7,48],[1,2,58],[1,3,67],[1,4,61],[1,5,8],[1,6,13],[1,7,20],[2,3,64],[2,4,9],[2,5,6],[2,6,23],[2,7,90],[3,4,21],[3,5,55],[3,6,26],[3,7,54],[4,5,18],[4,6,86],[4,7,20],[5,6,56],[5,7,27],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,95],[0,3,97],[0,4,84],[0,5,59],[0,6,31],[0,7,48],[1,2,58],[1,3,67],[1,4,61],[1,5,8],[1,6,13],[1,7,20],[2,3,64],[2,4,9],[2,5,6],[2,6,23],[2,7,90],[3,4,21],[3,5,55],[3,6,26],[3,7,54],[4,5,18],[4,6,86],[4,7,20],[5,6,56],[5,7,27],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (1,6)\",\"Add (1,7)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,95],[0,3,97],[0,4,84],[0,5,59],[0,6,31],[0,7,48],[1,2,58],[1,3,67],[1,4,61],[1,5,8],[1,6,13],[1,7,20],[2,3,64],[2,4,9],[2,5,6],[2,6,23],[2,7,90],[3,4,21],[3,5,55],[3,6,26],[3,7,54],[4,5,18],[4,6,86],[4,7,20],[5,6,56],[5,7,27],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6, w=6\",\"Add (1,5)=8, w=14\",\"Add (2,4)=9, w=23\",\"Add (1,6)=13, w=36\",\"Add (1,7)=20, w=56\",\"Add (3,4)=21, w=77\",\"Add (0,1)=23, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,95],[0,3,97],[0,4,84],[0,5,59],[0,6,31],[0,7,48],[1,2,58],[1,3,67],[1,4,61],[1,5,8],[1,6,13],[1,7,20],[2,3,64],[2,4,9],[2,5,6],[2,6,23],[2,7,90],[3,4,21],[3,5,55],[3,6,26],[3,7,54],[4,5,18],[4,6,86],[4,7,20],[5,6,56],[5,7,27],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6 Succeeded, w=6\",\"Add (1,5)=8 Succeeded, w=14\",\"Add (2,4)=9 Succeeded, w=23\",\"Add (1,6)=13 Succeeded, w=36\",\"Add (4,5)=18 Failed, w=36\",\"Add (1,7)=20 Succeeded, w=56\",\"Add (4,7)=20 Failed, w=56\",\"Add (3,4)=21 Succeeded, w=77\",\"Add (0,1)=23 Succeeded, w=100\",\"Add (2,6)=23 Failed, w=100\",\"Add (3,6)=26 Failed, w=100\",\"Add (5,7)=27 Failed, w=100\",\"Add (0,6)=31 Failed, w=100\",\"Add (6,7)=33 Failed, w=100\",\"Add (0,7)=48 Failed, w=100\",\"Add (3,7)=54 Failed, w=100\",\"Add (3,5)=55 Failed, w=100\",\"Add (5,6)=56 Failed, w=100\",\"Add (1,2)=58 Failed, w=100\",\"Add (0,5)=59 Failed, w=100\",\"Add (1,4)=61 Failed, w=100\",\"Add (2,3)=64 Failed, w=100\",\"Add (1,3)=67 Failed, w=100\",\"Add (0,4)=84 Failed, w=100\",\"Add (4,6)=86 Failed, w=100\",\"Add (2,7)=90 Failed, w=100\",\"Add (0,2)=95 Failed, w=100\",\"Add (0,3)=97 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,95],[0,3,97],[0,4,84],[0,5,59],[0,6,31],[0,7,48],[1,2,58],[1,3,67],[1,4,61],[1,5,8],[1,6,13],[1,7,20],[2,3,64],[2,4,9],[2,5,6],[2,6,23],[2,7,90],[3,4,21],[3,5,55],[3,6,26],[3,7,54],[4,5,18],[4,6,86],[4,7,20],[5,6,56],[5,7,27],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(1,5)=8,(2,4)=9,(1,6)=13,(4,5)=18,(1,7)=20,(4,7)=20,(3,4)=21,(0,1)=23,(2,6)=23,(3,6)=26,(5,7)=27,(0,6)=31,(6,7)=33,(0,7)=48,(3,7)=54,(3,5)=55,(5,6)=56,(1,2)=58,(0,5)=59,(1,4)=61,(2,3)=64,(1,3)=67,(0,4)=84,(4,6)=86,(2,7)=90,(0,2)=95,(0,3)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(1)=1, Find(5)=2, Add (1,5)=8 Succeeded, w=14\",\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=23\",\"Find(1)=2, Find(6)=6, Add (1,6)=13 Succeeded, w=36\",\"Find(4)=2, Find(5)=2, Add (4,5)=18 Failed, w=36\",\"Find(1)=2, Find(7)=7, Add (1,7)=20 Succeeded, w=56\",\"Find(4)=2, Find(7)=2, Add (4,7)=20 Failed, w=56\",\"Find(3)=3, Find(4)=2, Add (3,4)=21 Succeeded, w=77\",\"Find(0)=0, Find(1)=2, Add (0,1)=23 Succeeded, w=100\",\"Find(2)=2, Find(6)=2, Add (2,6)=23 Failed, w=100\",\"Find(3)=2, Find(6)=2, Add (3,6)=26 Failed, w=100\",\"Find(5)=2, Find(7)=2, Add (5,7)=27 Failed, w=100\",\"Find(0)=2, Find(6)=2, Add (0,6)=31 Failed, w=100\",\"Find(6)=2, Find(7)=2, Add (6,7)=33 Failed, w=100\",\"Find(0)=2, Find(7)=2, Add (0,7)=48 Failed, w=100\",\"Find(3)=2, Find(7)=2, Add (3,7)=54 Failed, w=100\",\"Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=100\",\"Find(5)=2, Find(6)=2, Add (5,6)=56 Failed, w=100\",\"Find(1)=2, Find(2)=2, Add (1,2)=58 Failed, w=100\",\"Find(0)=2, Find(5)=2, Add (0,5)=59 Failed, w=100\",\"Find(1)=2, Find(4)=2, Add (1,4)=61 Failed, w=100\",\"Find(2)=2, Find(3)=2, Add (2,3)=64 Failed, w=100\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=100\",\"Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=100\",\"Find(4)=2, Find(6)=2, Add (4,6)=86 Failed, w=100\",\"Find(2)=2, Find(7)=2, Add (2,7)=90 Failed, w=100\",\"Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=100\",\"Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,95],[0,3,97],[0,4,84],[0,5,59],[0,6,31],[0,7,48],[1,2,58],[1,3,67],[1,4,61],[1,5,8],[1,6,13],[1,7,20],[2,3,64],[2,4,9],[2,5,6],[2,6,23],[2,7,90],[3,4,21],[3,5,55],[3,6,26],[3,7,54],[4,5,18],[4,6,86],[4,7,20],[5,6,56],[5,7,27],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(1,5)=8,(2,4)=9,(1,6)=13,(4,5)=18,(1,7)=20,(4,7)=20,(3,4)=21,(0,1)=23,(2,6)=23,(3,6)=26,(5,7)=27,(0,6)=31,(6,7)=33,(0,7)=48,(3,7)=54,(3,5)=55,(5,6)=56,(1,2)=58,(0,5)=59,(1,4)=61,(2,3)=64,(1,3)=67,(0,4)=84,(4,6)=86,(2,7)=90,(0,2)=95,(0,3)=97]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(5)=2, Add (1,5)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 7}, Find(1)=2, Find(6)=6, Add (1,6)=13 Succeeded, w=36\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 7}, Find(4)=2, Find(5)=2, Add (4,5)=18 Failed, w=36\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=7, Add (1,7)=20 Succeeded, w=56\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=20 Failed, w=56\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=3, Find(4)=2, Add (3,4)=21 Succeeded, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(1)=2, Add (0,1)=23 Succeeded, w=100\",\"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)=23 Failed, w=100\",\"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)=26 Failed, w=100\",\"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)=27 Failed, w=100\",\"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)=31 Failed, w=100\",\"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)=33 Failed, w=100\",\"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)=48 Failed, w=100\",\"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)=54 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=100\",\"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)=56 Failed, w=100\",\"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)=58 Failed, w=100\",\"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)=59 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=61 Failed, w=100\",\"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)=64 Failed, w=100\",\"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)=67 Failed, w=100\",\"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)=84 Failed, w=100\",\"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)=86 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=90 Failed, w=100\",\"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)=95 Failed, w=100\",\"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)=97 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,16],[0,4,92],[0,5,93],[1,6,23],[2,3,26],[2,4,47],[2,5,40],[2,6,72],[3,5,8],[4,6,99],[4,7,38],[5,7,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,4,92],[0,5,93],[1,6,23],[2,3,26],[2,4,47],[2,5,40],[2,6,72],[3,5,8],[4,6,99],[4,7,38],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,4,92],[0,5,93],[1,6,23],[2,3,26],[2,4,47],[2,5,40],[2,6,72],[3,5,8],[4,6,99],[4,7,38],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,1)\",\"Add (1,6)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (2,4)\",\"Add (2,6)\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,4,92],[0,5,93],[1,6,23],[2,3,26],[2,4,47],[2,5,40],[2,6,72],[3,5,8],[4,6,99],[4,7,38],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=8, w=8\",\"Add (0,1)=16, w=24\",\"Add (1,6)=23, w=47\",\"Add (2,3)=26, w=73\",\"Add (4,7)=38, w=111\",\"Add (2,4)=47, w=158\",\"Add (2,6)=72, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,4,92],[0,5,93],[1,6,23],[2,3,26],[2,4,47],[2,5,40],[2,6,72],[3,5,8],[4,6,99],[4,7,38],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=8 Succeeded, w=8\",\"Add (0,1)=16 Succeeded, w=24\",\"Add (1,6)=23 Succeeded, w=47\",\"Add (2,3)=26 Succeeded, w=73\",\"Add (4,7)=38 Succeeded, w=111\",\"Add (2,5)=40 Failed, w=111\",\"Add (2,4)=47 Succeeded, w=158\",\"Add (5,7)=65 Failed, w=158\",\"Add (2,6)=72 Succeeded, w=230\",\"Add (0,4)=92 Failed, w=230\",\"Add (0,5)=93 Failed, w=230\",\"Add (4,6)=99 Failed, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,4,92],[0,5,93],[1,6,23],[2,3,26],[2,4,47],[2,5,40],[2,6,72],[3,5,8],[4,6,99],[4,7,38],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=8,(0,1)=16,(1,6)=23,(2,3)=26,(4,7)=38,(2,5)=40,(2,4)=47,(5,7)=65,(2,6)=72,(0,4)=92,(0,5)=93,(4,6)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=24\",\"Find(1)=0, Find(6)=6, Add (1,6)=23 Succeeded, w=47\",\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=73\",\"Find(4)=4, Find(7)=7, Add (4,7)=38 Succeeded, w=111\",\"Find(2)=3, Find(5)=3, Add (2,5)=40 Failed, w=111\",\"Find(2)=3, Find(4)=4, Add (2,4)=47 Succeeded, w=158\",\"Find(5)=3, Find(7)=3, Add (5,7)=65 Failed, w=158\",\"Find(2)=3, Find(6)=0, Add (2,6)=72 Succeeded, w=230\",\"Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=230\",\"Find(0)=3, Find(5)=3, Add (0,5)=93 Failed, w=230\",\"Find(4)=3, Find(6)=3, Add (4,6)=99 Failed, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,4,92],[0,5,93],[1,6,23],[2,3,26],[2,4,47],[2,5,40],[2,6,72],[3,5,8],[4,6,99],[4,7,38],[5,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=8,(0,1)=16,(1,6)=23,(2,3)=26,(4,7)=38,(2,5)=40,(2,4)=47,(5,7)=65,(2,6)=72,(0,4)=92,(0,5)=93,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0, 7: 7}, Find(1)=0, Find(6)=6, Add (1,6)=23 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 4, 5: 3, 6: 0, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 4, 5: 3, 6: 0, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=38 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 4, 5: 3, 6: 0, 7: 4}, Find(2)=3, Find(5)=3, Add (2,5)=40 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 4}, Find(2)=3, Find(4)=4, Add (2,4)=47 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=65 Failed, w=158\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(2)=3, Find(6)=0, Add (2,6)=72 Succeeded, w=230\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=230\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=93 Failed, w=230\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=99 Failed, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,72],[0,2,12],[0,3,17],[0,4,41],[1,3,88],[1,4,33],[2,3,60],[2,4,5],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,12],[0,3,17],[0,4,41],[1,3,88],[1,4,33],[2,3,60],[2,4,5],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,12],[0,3,17],[0,4,41],[1,3,88],[1,4,33],[2,3,60],[2,4,5],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,12],[0,3,17],[0,4,41],[1,3,88],[1,4,33],[2,3,60],[2,4,5],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (0,2)=12, w=17\",\"Add (0,3)=17, w=34\",\"Add (1,4)=33, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,12],[0,3,17],[0,4,41],[1,3,88],[1,4,33],[2,3,60],[2,4,5],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (0,2)=12 Succeeded, w=17\",\"Add (0,3)=17 Succeeded, w=34\",\"Add (3,4)=19 Failed, w=34\",\"Add (1,4)=33 Succeeded, w=67\",\"Add (0,4)=41 Failed, w=67\",\"Add (2,3)=60 Failed, w=67\",\"Add (0,1)=72 Failed, w=67\",\"Add (1,3)=88 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,12],[0,3,17],[0,4,41],[1,3,88],[1,4,33],[2,3,60],[2,4,5],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(0,2)=12,(0,3)=17,(3,4)=19,(1,4)=33,(0,4)=41,(2,3)=60,(0,1)=72,(1,3)=88]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=17\",\"Find(0)=2, Find(3)=3, Add (0,3)=17 Succeeded, w=34\",\"Find(3)=2, Find(4)=2, Add (3,4)=19 Failed, w=34\",\"Find(1)=1, Find(4)=2, Add (1,4)=33 Succeeded, w=67\",\"Find(0)=2, Find(4)=2, Add (0,4)=41 Failed, w=67\",\"Find(2)=2, Find(3)=2, Add (2,3)=60 Failed, w=67\",\"Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=67\",\"Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,72],[0,2,12],[0,3,17],[0,4,41],[1,3,88],[1,4,33],[2,3,60],[2,4,5],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(0,2)=12,(0,3)=17,(3,4)=19,(1,4)=33,(0,4)=41,(2,3)=60,(0,1)=72,(1,3)=88]\",\"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: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=3, Add (0,3)=17 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=19 Failed, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=33 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=41 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=60 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,2,53],[0,3,17],[0,5,47],[1,5,65],[2,4,94],[3,4,65],[4,5,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,53],[0,3,17],[0,5,47],[1,5,65],[2,4,94],[3,4,65],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,53],[0,3,17],[0,5,47],[1,5,65],[2,4,94],[3,4,65],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,53],[0,3,17],[0,5,47],[1,5,65],[2,4,94],[3,4,65],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17, w=17\",\"Add (0,1)=33, w=50\",\"Add (0,5)=47, w=97\",\"Add (0,2)=53, w=150\",\"Add (3,4)=65, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,53],[0,3,17],[0,5,47],[1,5,65],[2,4,94],[3,4,65],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17 Succeeded, w=17\",\"Add (0,1)=33 Succeeded, w=50\",\"Add (0,5)=47 Succeeded, w=97\",\"Add (0,2)=53 Succeeded, w=150\",\"Add (1,5)=65 Failed, w=150\",\"Add (3,4)=65 Succeeded, w=215\",\"Add (4,5)=81 Failed, w=215\",\"Add (2,4)=94 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,53],[0,3,17],[0,5,47],[1,5,65],[2,4,94],[3,4,65],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(0,1)=33,(0,5)=47,(0,2)=53,(1,5)=65,(3,4)=65,(4,5)=81,(2,4)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=50\",\"Find(0)=0, Find(5)=5, Add (0,5)=47 Succeeded, w=97\",\"Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=150\",\"Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=150\",\"Find(3)=0, Find(4)=4, Add (3,4)=65 Succeeded, w=215\",\"Find(4)=0, Find(5)=0, Add (4,5)=81 Failed, w=215\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,53],[0,3,17],[0,5,47],[1,5,65],[2,4,94],[3,4,65],[4,5,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(0,1)=33,(0,5)=47,(0,2)=53,(1,5)=65,(3,4)=65,(4,5)=81,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=47 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=4, Add (3,4)=65 Succeeded, w=215\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=81 Failed, w=215\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,78],[0,2,91],[0,3,27],[0,4,60],[0,6,22],[1,3,89],[1,4,0],[1,5,70],[1,6,53],[2,3,26],[2,4,18],[2,5,92],[3,4,42],[3,5,51],[3,6,86],[4,5,61],[4,6,52],[5,6,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,91],[0,3,27],[0,4,60],[0,6,22],[1,3,89],[1,4,0],[1,5,70],[1,6,53],[2,3,26],[2,4,18],[2,5,92],[3,4,42],[3,5,51],[3,6,86],[4,5,61],[4,6,52],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,91],[0,3,27],[0,4,60],[0,6,22],[1,3,89],[1,4,0],[1,5,70],[1,6,53],[2,3,26],[2,4,18],[2,5,92],[3,4,42],[3,5,51],[3,6,86],[4,5,61],[4,6,52],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (5,6)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,91],[0,3,27],[0,4,60],[0,6,22],[1,3,89],[1,4,0],[1,5,70],[1,6,53],[2,3,26],[2,4,18],[2,5,92],[3,4,42],[3,5,51],[3,6,86],[4,5,61],[4,6,52],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (2,4)=18, w=18\",\"Add (0,6)=22, w=40\",\"Add (2,3)=26, w=66\",\"Add (0,3)=27, w=93\",\"Add (5,6)=32, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,91],[0,3,27],[0,4,60],[0,6,22],[1,3,89],[1,4,0],[1,5,70],[1,6,53],[2,3,26],[2,4,18],[2,5,92],[3,4,42],[3,5,51],[3,6,86],[4,5,61],[4,6,52],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (2,4)=18 Succeeded, w=18\",\"Add (0,6)=22 Succeeded, w=40\",\"Add (2,3)=26 Succeeded, w=66\",\"Add (0,3)=27 Succeeded, w=93\",\"Add (5,6)=32 Succeeded, w=125\",\"Add (3,4)=42 Failed, w=125\",\"Add (3,5)=51 Failed, w=125\",\"Add (4,6)=52 Failed, w=125\",\"Add (1,6)=53 Failed, w=125\",\"Add (0,4)=60 Failed, w=125\",\"Add (4,5)=61 Failed, w=125\",\"Add (1,5)=70 Failed, w=125\",\"Add (0,1)=78 Failed, w=125\",\"Add (3,6)=86 Failed, w=125\",\"Add (1,3)=89 Failed, w=125\",\"Add (0,2)=91 Failed, w=125\",\"Add (2,5)=92 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,91],[0,3,27],[0,4,60],[0,6,22],[1,3,89],[1,4,0],[1,5,70],[1,6,53],[2,3,26],[2,4,18],[2,5,92],[3,4,42],[3,5,51],[3,6,86],[4,5,61],[4,6,52],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,4)=18,(0,6)=22,(2,3)=26,(0,3)=27,(5,6)=32,(3,4)=42,(3,5)=51,(4,6)=52,(1,6)=53,(0,4)=60,(4,5)=61,(1,5)=70,(0,1)=78,(3,6)=86,(1,3)=89,(0,2)=91,(2,5)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=1, Add (2,4)=18 Succeeded, w=18\",\"Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=40\",\"Find(2)=1, Find(3)=3, Add (2,3)=26 Succeeded, w=66\",\"Find(0)=0, Find(3)=1, Add (0,3)=27 Succeeded, w=93\",\"Find(5)=5, Find(6)=0, Add (5,6)=32 Succeeded, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=125\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=125\",\"Find(4)=0, Find(6)=0, Add (4,6)=52 Failed, w=125\",\"Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=125\",\"Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=125\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=125\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=125\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=125\",\"Find(3)=0, Find(6)=0, Add (3,6)=86 Failed, w=125\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=125\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=125\",\"Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,91],[0,3,27],[0,4,60],[0,6,22],[1,3,89],[1,4,0],[1,5,70],[1,6,53],[2,3,26],[2,4,18],[2,5,92],[3,4,42],[3,5,51],[3,6,86],[4,5,61],[4,6,52],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,4)=18,(0,6)=22,(2,3)=26,(0,3)=27,(5,6)=32,(3,4)=42,(3,5)=51,(4,6)=52,(1,6)=53,(0,4)=60,(4,5)=61,(1,5)=70,(0,1)=78,(3,6)=86,(1,3)=89,(0,2)=91,(2,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(4)=1, Add (2,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 0}, Find(2)=1, Find(3)=3, Add (2,3)=26 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 5, 6: 0}, Find(0)=0, Find(3)=1, Add (0,3)=27 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=32 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=52 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=86 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,100],[0,5,73],[0,6,62],[1,2,66],[1,3,62],[1,4,41],[1,5,63],[2,3,55],[2,5,11],[3,4,69],[3,5,58],[4,6,9],[5,6,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,100],[0,5,73],[0,6,62],[1,2,66],[1,3,62],[1,4,41],[1,5,63],[2,3,55],[2,5,11],[3,4,69],[3,5,58],[4,6,9],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,100],[0,5,73],[0,6,62],[1,2,66],[1,3,62],[1,4,41],[1,5,63],[2,3,55],[2,5,11],[3,4,69],[3,5,58],[4,6,9],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (0,6)\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,100],[0,5,73],[0,6,62],[1,2,66],[1,3,62],[1,4,41],[1,5,63],[2,3,55],[2,5,11],[3,4,69],[3,5,58],[4,6,9],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=9, w=9\",\"Add (2,5)=11, w=20\",\"Add (1,4)=41, w=61\",\"Add (2,3)=55, w=116\",\"Add (5,6)=60, w=176\",\"Add (0,6)=62, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,100],[0,5,73],[0,6,62],[1,2,66],[1,3,62],[1,4,41],[1,5,63],[2,3,55],[2,5,11],[3,4,69],[3,5,58],[4,6,9],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=9 Succeeded, w=9\",\"Add (2,5)=11 Succeeded, w=20\",\"Add (1,4)=41 Succeeded, w=61\",\"Add (2,3)=55 Succeeded, w=116\",\"Add (3,5)=58 Failed, w=116\",\"Add (5,6)=60 Succeeded, w=176\",\"Add (0,6)=62 Succeeded, w=238\",\"Add (1,3)=62 Failed, w=238\",\"Add (1,5)=63 Failed, w=238\",\"Add (1,2)=66 Failed, w=238\",\"Add (3,4)=69 Failed, w=238\",\"Add (0,5)=73 Failed, w=238\",\"Add (0,4)=100 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,100],[0,5,73],[0,6,62],[1,2,66],[1,3,62],[1,4,41],[1,5,63],[2,3,55],[2,5,11],[3,4,69],[3,5,58],[4,6,9],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=9,(2,5)=11,(1,4)=41,(2,3)=55,(3,5)=58,(5,6)=60,(0,6)=62,(1,3)=62,(1,5)=63,(1,2)=66,(3,4)=69,(0,5)=73,(0,4)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=9\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=20\",\"Find(1)=1, Find(4)=4, Add (1,4)=41 Succeeded, w=61\",\"Find(2)=2, Find(3)=3, Add (2,3)=55 Succeeded, w=116\",\"Find(3)=2, Find(5)=2, Add (3,5)=58 Failed, w=116\",\"Find(5)=2, Find(6)=4, Add (5,6)=60 Succeeded, w=176\",\"Find(0)=0, Find(6)=2, Add (0,6)=62 Succeeded, w=238\",\"Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=238\",\"Find(1)=2, Find(5)=2, Add (1,5)=63 Failed, w=238\",\"Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=238\",\"Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=238\",\"Find(0)=2, Find(5)=2, Add (0,5)=73 Failed, w=238\",\"Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,100],[0,5,73],[0,6,62],[1,2,66],[1,3,62],[1,4,41],[1,5,63],[2,3,55],[2,5,11],[3,4,69],[3,5,58],[4,6,9],[5,6,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=9,(2,5)=11,(1,4)=41,(2,3)=55,(3,5)=58,(5,6)=60,(0,6)=62,(1,3)=62,(1,5)=63,(1,2)=66,(3,4)=69,(0,5)=73,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=41 Succeeded, w=61\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(2)=2, Find(3)=3, Add (2,3)=55 Succeeded, w=116\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(3)=2, Find(5)=2, Add (3,5)=58 Failed, w=116\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(5)=2, Find(6)=4, Add (5,6)=60 Succeeded, w=176\",\"Parent: {0: 2, 1: 4, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=62 Succeeded, w=238\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=62 Failed, w=238\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=63 Failed, w=238\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=238\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=238\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=73 Failed, w=238\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,14],[0,4,88],[1,2,47],[1,3,24],[1,5,5],[1,6,30],[2,4,80],[2,5,71],[2,6,4],[3,5,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,4,88],[1,2,47],[1,3,24],[1,5,5],[1,6,30],[2,4,80],[2,5,71],[2,6,4],[3,5,66]]}",
"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],\"edges\":[[0,1,14],[0,4,88],[1,2,47],[1,3,24],[1,5,5],[1,6,30],[2,4,80],[2,5,71],[2,6,4],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (2,4)\"],\"Answer\":157}",
"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],[0,4,88],[1,2,47],[1,3,24],[1,5,5],[1,6,30],[2,4,80],[2,5,71],[2,6,4],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4, w=4\",\"Add (1,5)=5, w=9\",\"Add (0,1)=14, w=23\",\"Add (1,3)=24, w=47\",\"Add (1,6)=30, w=77\",\"Add (2,4)=80, 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],\"edges\":[[0,1,14],[0,4,88],[1,2,47],[1,3,24],[1,5,5],[1,6,30],[2,4,80],[2,5,71],[2,6,4],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=4 Succeeded, w=4\",\"Add (1,5)=5 Succeeded, w=9\",\"Add (0,1)=14 Succeeded, w=23\",\"Add (1,3)=24 Succeeded, w=47\",\"Add (1,6)=30 Succeeded, w=77\",\"Add (1,2)=47 Failed, w=77\",\"Add (3,5)=66 Failed, w=77\",\"Add (2,5)=71 Failed, w=77\",\"Add (2,4)=80 Succeeded, w=157\",\"Add (0,4)=88 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],\"edges\":[[0,1,14],[0,4,88],[1,2,47],[1,3,24],[1,5,5],[1,6,30],[2,4,80],[2,5,71],[2,6,4],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(1,5)=5,(0,1)=14,(1,3)=24,(1,6)=30,(1,2)=47,(3,5)=66,(2,5)=71,(2,4)=80,(0,4)=88]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=47\",\"Find(1)=1, Find(6)=2, Add (1,6)=30 Succeeded, w=77\",\"Find(1)=1, Find(2)=1, Add (1,2)=47 Failed, w=77\",\"Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=77\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=77\",\"Find(2)=1, Find(4)=4, Add (2,4)=80 Succeeded, w=157\",\"Find(0)=1, Find(4)=1, Add (0,4)=88 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],\"edges\":[[0,1,14],[0,4,88],[1,2,47],[1,3,24],[1,5,5],[1,6,30],[2,4,80],[2,5,71],[2,6,4],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=4,(1,5)=5,(0,1)=14,(1,3)=24,(1,6)=30,(1,2)=47,(3,5)=66,(2,5)=71,(2,4)=80,(0,4)=88]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 2}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=30 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 2}, Find(1)=1, Find(2)=1, Add (1,2)=47 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 2}, Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 2}, Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=1, Find(4)=4, Add (2,4)=80 Succeeded, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,45],[0,2,59],[0,3,60],[0,5,59],[0,7,1],[1,2,99],[1,3,30],[1,4,77],[1,5,98],[2,3,18],[2,4,3],[2,5,48],[2,6,25],[2,7,36],[3,4,68],[3,5,26],[3,6,32],[3,7,39],[4,5,70],[4,6,15],[5,6,56],[5,7,33],[6,7,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,45],[0,2,59],[0,3,60],[0,5,59],[0,7,1],[1,2,99],[1,3,30],[1,4,77],[1,5,98],[2,3,18],[2,4,3],[2,5,48],[2,6,25],[2,7,36],[3,4,68],[3,5,26],[3,6,32],[3,7,39],[4,5,70],[4,6,15],[5,6,56],[5,7,33],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,45],[0,2,59],[0,3,60],[0,5,59],[0,7,1],[1,2,99],[1,3,30],[1,4,77],[1,5,98],[2,3,18],[2,4,3],[2,5,48],[2,6,25],[2,7,36],[3,4,68],[3,5,26],[3,6,32],[3,7,39],[4,5,70],[4,6,15],[5,6,56],[5,7,33],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (2,4)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (6,7)\",\"Add (3,5)\",\"Add (1,3)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,45],[0,2,59],[0,3,60],[0,5,59],[0,7,1],[1,2,99],[1,3,30],[1,4,77],[1,5,98],[2,3,18],[2,4,3],[2,5,48],[2,6,25],[2,7,36],[3,4,68],[3,5,26],[3,6,32],[3,7,39],[4,5,70],[4,6,15],[5,6,56],[5,7,33],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1, w=1\",\"Add (2,4)=3, w=4\",\"Add (4,6)=15, w=19\",\"Add (2,3)=18, w=37\",\"Add (6,7)=24, w=61\",\"Add (3,5)=26, w=87\",\"Add (1,3)=30, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,45],[0,2,59],[0,3,60],[0,5,59],[0,7,1],[1,2,99],[1,3,30],[1,4,77],[1,5,98],[2,3,18],[2,4,3],[2,5,48],[2,6,25],[2,7,36],[3,4,68],[3,5,26],[3,6,32],[3,7,39],[4,5,70],[4,6,15],[5,6,56],[5,7,33],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=1 Succeeded, w=1\",\"Add (2,4)=3 Succeeded, w=4\",\"Add (4,6)=15 Succeeded, w=19\",\"Add (2,3)=18 Succeeded, w=37\",\"Add (6,7)=24 Succeeded, w=61\",\"Add (2,6)=25 Failed, w=61\",\"Add (3,5)=26 Succeeded, w=87\",\"Add (1,3)=30 Succeeded, w=117\",\"Add (3,6)=32 Failed, w=117\",\"Add (5,7)=33 Failed, w=117\",\"Add (2,7)=36 Failed, w=117\",\"Add (3,7)=39 Failed, w=117\",\"Add (0,1)=45 Failed, w=117\",\"Add (2,5)=48 Failed, w=117\",\"Add (5,6)=56 Failed, w=117\",\"Add (0,2)=59 Failed, w=117\",\"Add (0,5)=59 Failed, w=117\",\"Add (0,3)=60 Failed, w=117\",\"Add (3,4)=68 Failed, w=117\",\"Add (4,5)=70 Failed, w=117\",\"Add (1,4)=77 Failed, w=117\",\"Add (1,5)=98 Failed, w=117\",\"Add (1,2)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,45],[0,2,59],[0,3,60],[0,5,59],[0,7,1],[1,2,99],[1,3,30],[1,4,77],[1,5,98],[2,3,18],[2,4,3],[2,5,48],[2,6,25],[2,7,36],[3,4,68],[3,5,26],[3,6,32],[3,7,39],[4,5,70],[4,6,15],[5,6,56],[5,7,33],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(2,4)=3,(4,6)=15,(2,3)=18,(6,7)=24,(2,6)=25,(3,5)=26,(1,3)=30,(3,6)=32,(5,7)=33,(2,7)=36,(3,7)=39,(0,1)=45,(2,5)=48,(5,6)=56,(0,2)=59,(0,5)=59,(0,3)=60,(3,4)=68,(4,5)=70,(1,4)=77,(1,5)=98,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=4\",\"Find(4)=2, Find(6)=6, Add (4,6)=15 Succeeded, w=19\",\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=37\",\"Find(6)=2, Find(7)=0, Add (6,7)=24 Succeeded, w=61\",\"Find(2)=2, Find(6)=2, Add (2,6)=25 Failed, w=61\",\"Find(3)=2, Find(5)=5, Add (3,5)=26 Succeeded, w=87\",\"Find(1)=1, Find(3)=2, Add (1,3)=30 Succeeded, w=117\",\"Find(3)=2, Find(6)=2, Add (3,6)=32 Failed, w=117\",\"Find(5)=2, Find(7)=2, Add (5,7)=33 Failed, w=117\",\"Find(2)=2, Find(7)=2, Add (2,7)=36 Failed, w=117\",\"Find(3)=2, Find(7)=2, Add (3,7)=39 Failed, w=117\",\"Find(0)=2, Find(1)=2, Add (0,1)=45 Failed, w=117\",\"Find(2)=2, Find(5)=2, Add (2,5)=48 Failed, w=117\",\"Find(5)=2, Find(6)=2, Add (5,6)=56 Failed, w=117\",\"Find(0)=2, Find(2)=2, Add (0,2)=59 Failed, w=117\",\"Find(0)=2, Find(5)=2, Add (0,5)=59 Failed, w=117\",\"Find(0)=2, Find(3)=2, Add (0,3)=60 Failed, w=117\",\"Find(3)=2, Find(4)=2, Add (3,4)=68 Failed, w=117\",\"Find(4)=2, Find(5)=2, Add (4,5)=70 Failed, w=117\",\"Find(1)=2, Find(4)=2, Add (1,4)=77 Failed, w=117\",\"Find(1)=2, Find(5)=2, Add (1,5)=98 Failed, w=117\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,45],[0,2,59],[0,3,60],[0,5,59],[0,7,1],[1,2,99],[1,3,30],[1,4,77],[1,5,98],[2,3,18],[2,4,3],[2,5,48],[2,6,25],[2,7,36],[3,4,68],[3,5,26],[3,6,32],[3,7,39],[4,5,70],[4,6,15],[5,6,56],[5,7,33],[6,7,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=1,(2,4)=3,(4,6)=15,(2,3)=18,(6,7)=24,(2,6)=25,(3,5)=26,(1,3)=30,(3,6)=32,(5,7)=33,(2,7)=36,(3,7)=39,(0,1)=45,(2,5)=48,(5,6)=56,(0,2)=59,(0,5)=59,(0,3)=60,(3,4)=68,(4,5)=70,(1,4)=77,(1,5)=98,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 0}, Find(4)=2, Find(6)=6, Add (4,6)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 0}, Find(6)=2, Find(7)=0, Add (6,7)=24 Succeeded, w=61\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 0}, Find(2)=2, Find(6)=2, Add (2,6)=25 Failed, w=61\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(3)=2, Find(5)=5, Add (3,5)=26 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(1)=1, Find(3)=2, Add (1,3)=30 Succeeded, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(3)=2, Find(6)=2, Add (3,6)=32 Failed, w=117\",\"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)=33 Failed, w=117\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=36 Failed, w=117\",\"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)=39 Failed, w=117\",\"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)=45 Failed, w=117\",\"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)=48 Failed, w=117\",\"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)=56 Failed, w=117\",\"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)=59 Failed, w=117\",\"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)=59 Failed, w=117\",\"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)=60 Failed, w=117\",\"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)=68 Failed, w=117\",\"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)=70 Failed, w=117\",\"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)=77 Failed, w=117\",\"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)=98 Failed, w=117\",\"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)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,6],[0,2,27],[0,3,19],[0,5,21],[0,6,27],[1,3,60],[1,4,36],[1,6,41],[2,3,76],[2,5,21],[2,6,86],[3,6,86],[4,5,46],[4,6,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,27],[0,3,19],[0,5,21],[0,6,27],[1,3,60],[1,4,36],[1,6,41],[2,3,76],[2,5,21],[2,6,86],[3,6,86],[4,5,46],[4,6,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,27],[0,3,19],[0,5,21],[0,6,27],[1,3,60],[1,4,36],[1,6,41],[2,3,76],[2,5,21],[2,6,86],[3,6,86],[4,5,46],[4,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (0,6)\",\"Add (4,6)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,27],[0,3,19],[0,5,21],[0,6,27],[1,3,60],[1,4,36],[1,6,41],[2,3,76],[2,5,21],[2,6,86],[3,6,86],[4,5,46],[4,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (0,3)=19, w=25\",\"Add (0,5)=21, w=46\",\"Add (2,5)=21, w=67\",\"Add (0,6)=27, w=94\",\"Add (4,6)=28, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,27],[0,3,19],[0,5,21],[0,6,27],[1,3,60],[1,4,36],[1,6,41],[2,3,76],[2,5,21],[2,6,86],[3,6,86],[4,5,46],[4,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (0,3)=19 Succeeded, w=25\",\"Add (0,5)=21 Succeeded, w=46\",\"Add (2,5)=21 Succeeded, w=67\",\"Add (0,2)=27 Failed, w=67\",\"Add (0,6)=27 Succeeded, w=94\",\"Add (4,6)=28 Succeeded, w=122\",\"Add (1,4)=36 Failed, w=122\",\"Add (1,6)=41 Failed, w=122\",\"Add (4,5)=46 Failed, w=122\",\"Add (1,3)=60 Failed, w=122\",\"Add (2,3)=76 Failed, w=122\",\"Add (2,6)=86 Failed, w=122\",\"Add (3,6)=86 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,27],[0,3,19],[0,5,21],[0,6,27],[1,3,60],[1,4,36],[1,6,41],[2,3,76],[2,5,21],[2,6,86],[3,6,86],[4,5,46],[4,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,3)=19,(0,5)=21,(2,5)=21,(0,2)=27,(0,6)=27,(4,6)=28,(1,4)=36,(1,6)=41,(4,5)=46,(1,3)=60,(2,3)=76,(2,6)=86,(3,6)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=25\",\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=46\",\"Find(2)=2, Find(5)=0, Add (2,5)=21 Succeeded, w=67\",\"Find(0)=0, Find(2)=0, Add (0,2)=27 Failed, w=67\",\"Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=94\",\"Find(4)=4, Find(6)=0, Add (4,6)=28 Succeeded, w=122\",\"Find(1)=0, Find(4)=0, Add (1,4)=36 Failed, w=122\",\"Find(1)=0, Find(6)=0, Add (1,6)=41 Failed, w=122\",\"Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=122\",\"Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=122\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=122\",\"Find(2)=0, Find(6)=0, Add (2,6)=86 Failed, w=122\",\"Find(3)=0, Find(6)=0, Add (3,6)=86 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,27],[0,3,19],[0,5,21],[0,6,27],[1,3,60],[1,4,36],[1,6,41],[2,3,76],[2,5,21],[2,6,86],[3,6,86],[4,5,46],[4,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,3)=19,(0,5)=21,(2,5)=21,(0,2)=27,(0,6)=27,(4,6)=28,(1,4)=36,(1,6)=41,(4,5)=46,(1,3)=60,(2,3)=76,(2,6)=86,(3,6)=86]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=2, Find(5)=0, Add (2,5)=21 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(2)=0, Add (0,2)=27 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=28 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=36 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=41 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=86 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=86 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,85],[0,3,2],[0,5,37],[1,2,66],[1,6,31],[2,3,92],[2,4,51],[2,5,100],[3,5,90],[3,6,6],[4,5,74],[5,6,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,2],[0,5,37],[1,2,66],[1,6,31],[2,3,92],[2,4,51],[2,5,100],[3,5,90],[3,6,6],[4,5,74],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,2],[0,5,37],[1,2,66],[1,6,31],[2,3,92],[2,4,51],[2,5,100],[3,5,90],[3,6,6],[4,5,74],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,2],[0,5,37],[1,2,66],[1,6,31],[2,3,92],[2,4,51],[2,5,100],[3,5,90],[3,6,6],[4,5,74],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (3,6)=6, w=8\",\"Add (1,6)=31, w=39\",\"Add (0,5)=37, w=76\",\"Add (2,4)=51, w=127\",\"Add (1,2)=66, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,2],[0,5,37],[1,2,66],[1,6,31],[2,3,92],[2,4,51],[2,5,100],[3,5,90],[3,6,6],[4,5,74],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (3,6)=6 Succeeded, w=8\",\"Add (1,6)=31 Succeeded, w=39\",\"Add (0,5)=37 Succeeded, w=76\",\"Add (2,4)=51 Succeeded, w=127\",\"Add (5,6)=59 Failed, w=127\",\"Add (1,2)=66 Succeeded, w=193\",\"Add (4,5)=74 Failed, w=193\",\"Add (0,2)=85 Failed, w=193\",\"Add (3,5)=90 Failed, w=193\",\"Add (2,3)=92 Failed, w=193\",\"Add (2,5)=100 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,2],[0,5,37],[1,2,66],[1,6,31],[2,3,92],[2,4,51],[2,5,100],[3,5,90],[3,6,6],[4,5,74],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(3,6)=6,(1,6)=31,(0,5)=37,(2,4)=51,(5,6)=59,(1,2)=66,(4,5)=74,(0,2)=85,(3,5)=90,(2,3)=92,(2,5)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(3)=0, Find(6)=6, Add (3,6)=6 Succeeded, w=8\",\"Find(1)=1, Find(6)=0, Add (1,6)=31 Succeeded, w=39\",\"Find(0)=0, Find(5)=5, Add (0,5)=37 Succeeded, w=76\",\"Find(2)=2, Find(4)=4, Add (2,4)=51 Succeeded, w=127\",\"Find(5)=0, Find(6)=0, Add (5,6)=59 Failed, w=127\",\"Find(1)=0, Find(2)=2, Add (1,2)=66 Succeeded, w=193\",\"Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=193\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=193\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=193\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=193\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,2],[0,5,37],[1,2,66],[1,6,31],[2,3,92],[2,4,51],[2,5,100],[3,5,90],[3,6,6],[4,5,74],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(3,6)=6,(1,6)=31,(0,5)=37,(2,4)=51,(5,6)=59,(1,2)=66,(4,5)=74,(0,2)=85,(3,5)=90,(2,3)=92,(2,5)=100]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=31 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=37 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=51 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=59 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(2)=2, Add (1,2)=66 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,3,83],[1,2,19],[1,3,96],[1,4,43],[2,3,91],[2,4,72],[3,4,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,83],[1,2,19],[1,3,96],[1,4,43],[2,3,91],[2,4,72],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,83],[1,2,19],[1,3,96],[1,4,43],[2,3,91],[2,4,72],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,83],[1,2,19],[1,3,96],[1,4,43],[2,3,91],[2,4,72],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19, w=19\",\"Add (0,1)=32, w=51\",\"Add (1,4)=43, w=94\",\"Add (0,3)=83, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,83],[1,2,19],[1,3,96],[1,4,43],[2,3,91],[2,4,72],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19 Succeeded, w=19\",\"Add (0,1)=32 Succeeded, w=51\",\"Add (1,4)=43 Succeeded, w=94\",\"Add (2,4)=72 Failed, w=94\",\"Add (0,3)=83 Succeeded, w=177\",\"Add (3,4)=84 Failed, w=177\",\"Add (2,3)=91 Failed, w=177\",\"Add (1,3)=96 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,83],[1,2,19],[1,3,96],[1,4,43],[2,3,91],[2,4,72],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(0,1)=32,(1,4)=43,(2,4)=72,(0,3)=83,(3,4)=84,(2,3)=91,(1,3)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=51\",\"Find(1)=1, Find(4)=4, Add (1,4)=43 Succeeded, w=94\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=94\",\"Find(0)=1, Find(3)=3, Add (0,3)=83 Succeeded, w=177\",\"Find(3)=1, Find(4)=1, Add (3,4)=84 Failed, w=177\",\"Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=177\",\"Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,83],[1,2,19],[1,3,96],[1,4,43],[2,3,91],[2,4,72],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(0,1)=32,(1,4)=43,(2,4)=72,(0,3)=83,(3,4)=84,(2,3)=91,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=43 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=83 Succeeded, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=84 Failed, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=91 Failed, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,10],[0,2,73],[0,3,36],[0,4,77],[0,5,67],[0,6,13],[1,2,86],[1,3,24],[1,4,50],[1,5,11],[1,6,46],[2,3,70],[2,4,15],[2,6,66],[3,4,80],[3,5,93],[3,6,50],[4,5,61],[4,6,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,36],[0,4,77],[0,5,67],[0,6,13],[1,2,86],[1,3,24],[1,4,50],[1,5,11],[1,6,46],[2,3,70],[2,4,15],[2,6,66],[3,4,80],[3,5,93],[3,6,50],[4,5,61],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,36],[0,4,77],[0,5,67],[0,6,13],[1,2,86],[1,3,24],[1,4,50],[1,5,11],[1,6,46],[2,3,70],[2,4,15],[2,6,66],[3,4,80],[3,5,93],[3,6,50],[4,5,61],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (4,6)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,36],[0,4,77],[0,5,67],[0,6,13],[1,2,86],[1,3,24],[1,4,50],[1,5,11],[1,6,46],[2,3,70],[2,4,15],[2,6,66],[3,4,80],[3,5,93],[3,6,50],[4,5,61],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (1,5)=11, w=21\",\"Add (0,6)=13, w=34\",\"Add (2,4)=15, w=49\",\"Add (1,3)=24, w=73\",\"Add (4,6)=32, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,36],[0,4,77],[0,5,67],[0,6,13],[1,2,86],[1,3,24],[1,4,50],[1,5,11],[1,6,46],[2,3,70],[2,4,15],[2,6,66],[3,4,80],[3,5,93],[3,6,50],[4,5,61],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (1,5)=11 Succeeded, w=21\",\"Add (0,6)=13 Succeeded, w=34\",\"Add (2,4)=15 Succeeded, w=49\",\"Add (1,3)=24 Succeeded, w=73\",\"Add (4,6)=32 Succeeded, w=105\",\"Add (0,3)=36 Failed, w=105\",\"Add (1,6)=46 Failed, w=105\",\"Add (1,4)=50 Failed, w=105\",\"Add (3,6)=50 Failed, w=105\",\"Add (4,5)=61 Failed, w=105\",\"Add (2,6)=66 Failed, w=105\",\"Add (0,5)=67 Failed, w=105\",\"Add (2,3)=70 Failed, w=105\",\"Add (0,2)=73 Failed, w=105\",\"Add (0,4)=77 Failed, w=105\",\"Add (3,4)=80 Failed, w=105\",\"Add (1,2)=86 Failed, w=105\",\"Add (3,5)=93 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,36],[0,4,77],[0,5,67],[0,6,13],[1,2,86],[1,3,24],[1,4,50],[1,5,11],[1,6,46],[2,3,70],[2,4,15],[2,6,66],[3,4,80],[3,5,93],[3,6,50],[4,5,61],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,5)=11,(0,6)=13,(2,4)=15,(1,3)=24,(4,6)=32,(0,3)=36,(1,6)=46,(1,4)=50,(3,6)=50,(4,5)=61,(2,6)=66,(0,5)=67,(2,3)=70,(0,2)=73,(0,4)=77,(3,4)=80,(1,2)=86,(3,5)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(1)=0, Find(5)=5, Add (1,5)=11 Succeeded, w=21\",\"Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=34\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=49\",\"Find(1)=0, Find(3)=3, Add (1,3)=24 Succeeded, w=73\",\"Find(4)=2, Find(6)=0, Add (4,6)=32 Succeeded, w=105\",\"Find(0)=2, Find(3)=2, Add (0,3)=36 Failed, w=105\",\"Find(1)=2, Find(6)=2, Add (1,6)=46 Failed, w=105\",\"Find(1)=2, Find(4)=2, Add (1,4)=50 Failed, w=105\",\"Find(3)=2, Find(6)=2, Add (3,6)=50 Failed, w=105\",\"Find(4)=2, Find(5)=2, Add (4,5)=61 Failed, w=105\",\"Find(2)=2, Find(6)=2, Add (2,6)=66 Failed, w=105\",\"Find(0)=2, Find(5)=2, Add (0,5)=67 Failed, w=105\",\"Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=105\",\"Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=105\",\"Find(0)=2, Find(4)=2, Add (0,4)=77 Failed, w=105\",\"Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=105\",\"Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=105\",\"Find(3)=2, Find(5)=2, Add (3,5)=93 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,36],[0,4,77],[0,5,67],[0,6,13],[1,2,86],[1,3,24],[1,4,50],[1,5,11],[1,6,46],[2,3,70],[2,4,15],[2,6,66],[3,4,80],[3,5,93],[3,6,50],[4,5,61],[4,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,5)=11,(0,6)=13,(2,4)=15,(1,3)=24,(4,6)=32,(0,3)=36,(1,6)=46,(1,4)=50,(3,6)=50,(4,5)=61,(2,6)=66,(0,5)=67,(2,3)=70,(0,2)=73,(0,4)=77,(3,4)=80,(1,2)=86,(3,5)=93]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(1)=0, Find(5)=5, Add (1,5)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 0, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=24 Succeeded, w=73\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(4)=2, Find(6)=0, Add (4,6)=32 Succeeded, w=105\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0, 6: 0}, Find(0)=2, Find(3)=2, Add (0,3)=36 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=46 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=50 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=50 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=61 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=66 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=67 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=77 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=93 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,23],[0,3,54],[1,2,15],[2,3,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[0,3,54],[1,2,15],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[0,3,54],[1,2,15],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[0,3,54],[1,2,15],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15, w=15\",\"Add (0,2)=23, w=38\",\"Add (2,3)=26, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[0,3,54],[1,2,15],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15 Succeeded, w=15\",\"Add (0,2)=23 Succeeded, w=38\",\"Add (2,3)=26 Succeeded, w=64\",\"Add (0,3)=54 Failed, w=64\",\"Add (0,1)=84 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[0,3,54],[1,2,15],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(0,2)=23,(2,3)=26,(0,3)=54,(0,1)=84]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=1, Add (0,2)=23 Succeeded, w=38\",\"Find(2)=1, Find(3)=3, Add (2,3)=26 Succeeded, w=64\",\"Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=64\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,23],[0,3,54],[1,2,15],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(0,2)=23,(2,3)=26,(0,3)=54,(0,1)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=23 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=26 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,21],[0,5,69],[0,6,83],[1,2,45],[1,3,90],[1,4,10],[1,7,23],[2,4,40],[2,5,13],[2,6,20],[2,7,34],[3,4,28],[4,5,84],[4,6,73],[4,7,22],[5,7,82],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,5,69],[0,6,83],[1,2,45],[1,3,90],[1,4,10],[1,7,23],[2,4,40],[2,5,13],[2,6,20],[2,7,34],[3,4,28],[4,5,84],[4,6,73],[4,7,22],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,5,69],[0,6,83],[1,2,45],[1,3,90],[1,4,10],[1,7,23],[2,4,40],[2,5,13],[2,6,20],[2,7,34],[3,4,28],[4,5,84],[4,6,73],[4,7,22],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (4,7)\",\"Add (3,4)\",\"Add (2,7)\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,5,69],[0,6,83],[1,2,45],[1,3,90],[1,4,10],[1,7,23],[2,4,40],[2,5,13],[2,6,20],[2,7,34],[3,4,28],[4,5,84],[4,6,73],[4,7,22],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10, w=10\",\"Add (2,5)=13, w=23\",\"Add (2,6)=20, w=43\",\"Add (0,3)=21, w=64\",\"Add (4,7)=22, w=86\",\"Add (3,4)=28, w=114\",\"Add (2,7)=34, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,5,69],[0,6,83],[1,2,45],[1,3,90],[1,4,10],[1,7,23],[2,4,40],[2,5,13],[2,6,20],[2,7,34],[3,4,28],[4,5,84],[4,6,73],[4,7,22],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10 Succeeded, w=10\",\"Add (2,5)=13 Succeeded, w=23\",\"Add (2,6)=20 Succeeded, w=43\",\"Add (0,3)=21 Succeeded, w=64\",\"Add (4,7)=22 Succeeded, w=86\",\"Add (1,7)=23 Failed, w=86\",\"Add (3,4)=28 Succeeded, w=114\",\"Add (2,7)=34 Succeeded, w=148\",\"Add (2,4)=40 Failed, w=148\",\"Add (1,2)=45 Failed, w=148\",\"Add (0,5)=69 Failed, w=148\",\"Add (4,6)=73 Failed, w=148\",\"Add (5,7)=82 Failed, w=148\",\"Add (0,6)=83 Failed, w=148\",\"Add (4,5)=84 Failed, w=148\",\"Add (6,7)=87 Failed, w=148\",\"Add (1,3)=90 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,5,69],[0,6,83],[1,2,45],[1,3,90],[1,4,10],[1,7,23],[2,4,40],[2,5,13],[2,6,20],[2,7,34],[3,4,28],[4,5,84],[4,6,73],[4,7,22],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(2,5)=13,(2,6)=20,(0,3)=21,(4,7)=22,(1,7)=23,(3,4)=28,(2,7)=34,(2,4)=40,(1,2)=45,(0,5)=69,(4,6)=73,(5,7)=82,(0,6)=83,(4,5)=84,(6,7)=87,(1,3)=90]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=23\",\"Find(2)=2, Find(6)=6, Add (2,6)=20 Succeeded, w=43\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=64\",\"Find(4)=1, Find(7)=7, Add (4,7)=22 Succeeded, w=86\",\"Find(1)=1, Find(7)=1, Add (1,7)=23 Failed, w=86\",\"Find(3)=0, Find(4)=1, Add (3,4)=28 Succeeded, w=114\",\"Find(2)=2, Find(7)=0, Add (2,7)=34 Succeeded, w=148\",\"Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=148\",\"Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=148\",\"Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=148\",\"Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=148\",\"Find(5)=0, Find(7)=0, Add (5,7)=82 Failed, w=148\",\"Find(0)=0, Find(6)=0, Add (0,6)=83 Failed, w=148\",\"Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=148\",\"Find(6)=0, Find(7)=0, Add (6,7)=87 Failed, w=148\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,21],[0,5,69],[0,6,83],[1,2,45],[1,3,90],[1,4,10],[1,7,23],[2,4,40],[2,5,13],[2,6,20],[2,7,34],[3,4,28],[4,5,84],[4,6,73],[4,7,22],[5,7,82],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(2,5)=13,(2,6)=20,(0,3)=21,(4,7)=22,(1,7)=23,(3,4)=28,(2,7)=34,(2,4)=40,(1,2)=45,(0,5)=69,(4,6)=73,(5,7)=82,(0,6)=83,(4,5)=84,(6,7)=87,(1,3)=90]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=20 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 2, 6: 2, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 2, 6: 2, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=22 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 2, 6: 2, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=23 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 2, 6: 2, 7: 1}, Find(3)=0, Find(4)=1, Add (3,4)=28 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 2, 6: 2, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=34 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 2, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=40 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 2, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=69 Failed, w=148\",\"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)=73 Failed, w=148\",\"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)=82 Failed, w=148\",\"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)=83 Failed, w=148\",\"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)=84 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=87 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,55],[0,2,99],[0,3,15],[0,4,96],[0,5,6],[1,2,62],[1,3,4],[1,4,51],[1,5,82],[2,3,77],[2,4,82],[2,5,94],[3,4,76],[3,5,74],[4,5,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,99],[0,3,15],[0,4,96],[0,5,6],[1,2,62],[1,3,4],[1,4,51],[1,5,82],[2,3,77],[2,4,82],[2,5,94],[3,4,76],[3,5,74],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,99],[0,3,15],[0,4,96],[0,5,6],[1,2,62],[1,3,4],[1,4,51],[1,5,82],[2,3,77],[2,4,82],[2,5,94],[3,4,76],[3,5,74],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,99],[0,3,15],[0,4,96],[0,5,6],[1,2,62],[1,3,4],[1,4,51],[1,5,82],[2,3,77],[2,4,82],[2,5,94],[3,4,76],[3,5,74],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,5)=6, w=10\",\"Add (0,3)=15, w=25\",\"Add (4,5)=43, w=68\",\"Add (1,2)=62, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,99],[0,3,15],[0,4,96],[0,5,6],[1,2,62],[1,3,4],[1,4,51],[1,5,82],[2,3,77],[2,4,82],[2,5,94],[3,4,76],[3,5,74],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,5)=6 Succeeded, w=10\",\"Add (0,3)=15 Succeeded, w=25\",\"Add (4,5)=43 Succeeded, w=68\",\"Add (1,4)=51 Failed, w=68\",\"Add (0,1)=55 Failed, w=68\",\"Add (1,2)=62 Succeeded, w=130\",\"Add (3,5)=74 Failed, w=130\",\"Add (3,4)=76 Failed, w=130\",\"Add (2,3)=77 Failed, w=130\",\"Add (1,5)=82 Failed, w=130\",\"Add (2,4)=82 Failed, w=130\",\"Add (2,5)=94 Failed, w=130\",\"Add (0,4)=96 Failed, w=130\",\"Add (0,2)=99 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,99],[0,3,15],[0,4,96],[0,5,6],[1,2,62],[1,3,4],[1,4,51],[1,5,82],[2,3,77],[2,4,82],[2,5,94],[3,4,76],[3,5,74],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,5)=6,(0,3)=15,(4,5)=43,(1,4)=51,(0,1)=55,(1,2)=62,(3,5)=74,(3,4)=76,(2,3)=77,(1,5)=82,(2,4)=82,(2,5)=94,(0,4)=96,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=10\",\"Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=25\",\"Find(4)=4, Find(5)=0, Add (4,5)=43 Succeeded, w=68\",\"Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=68\",\"Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=68\",\"Find(1)=0, Find(2)=2, Add (1,2)=62 Succeeded, w=130\",\"Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=130\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=130\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=130\",\"Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=130\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=130\",\"Find(2)=0, Find(5)=0, Add (2,5)=94 Failed, w=130\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=130\",\"Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,99],[0,3,15],[0,4,96],[0,5,6],[1,2,62],[1,3,4],[1,4,51],[1,5,82],[2,3,77],[2,4,82],[2,5,94],[3,4,76],[3,5,74],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,5)=6,(0,3)=15,(4,5)=43,(1,4)=51,(0,1)=55,(1,2)=62,(3,5)=74,(3,4)=76,(2,3)=77,(1,5)=82,(2,4)=82,(2,5)=94,(0,4)=96,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 4, 5: 0}, Find(0)=0, Find(3)=1, Add (0,3)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=43 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=62 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=94 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,48],[0,3,43],[0,4,15],[1,2,72],[1,3,53],[1,4,36],[2,3,64],[2,4,70],[3,4,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,48],[0,3,43],[0,4,15],[1,2,72],[1,3,53],[1,4,36],[2,3,64],[2,4,70],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,48],[0,3,43],[0,4,15],[1,2,72],[1,3,53],[1,4,36],[2,3,64],[2,4,70],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,48],[0,3,43],[0,4,15],[1,2,72],[1,3,53],[1,4,36],[2,3,64],[2,4,70],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=15, w=15\",\"Add (1,4)=36, w=51\",\"Add (0,3)=43, w=94\",\"Add (0,2)=48, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,48],[0,3,43],[0,4,15],[1,2,72],[1,3,53],[1,4,36],[2,3,64],[2,4,70],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=15 Succeeded, w=15\",\"Add (1,4)=36 Succeeded, w=51\",\"Add (0,1)=37 Failed, w=51\",\"Add (0,3)=43 Succeeded, w=94\",\"Add (3,4)=43 Failed, w=94\",\"Add (0,2)=48 Succeeded, w=142\",\"Add (1,3)=53 Failed, w=142\",\"Add (2,3)=64 Failed, w=142\",\"Add (2,4)=70 Failed, w=142\",\"Add (1,2)=72 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,48],[0,3,43],[0,4,15],[1,2,72],[1,3,53],[1,4,36],[2,3,64],[2,4,70],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=15,(1,4)=36,(0,1)=37,(0,3)=43,(3,4)=43,(0,2)=48,(1,3)=53,(2,3)=64,(2,4)=70,(1,2)=72]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=15\",\"Find(1)=1, Find(4)=0, Add (1,4)=36 Succeeded, w=51\",\"Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=94\",\"Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=94\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=142\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=142\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=142\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=142\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,48],[0,3,43],[0,4,15],[1,2,72],[1,3,53],[1,4,36],[2,3,64],[2,4,70],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=15,(1,4)=36,(0,1)=37,(0,3)=43,(3,4)=43,(0,2)=48,(1,3)=53,(2,3)=64,(2,4)=70,(1,2)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=36 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
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