graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,34],[0,2,54],[0,3,78],[0,4,3],[1,2,66],[1,3,5],[2,3,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,54],[0,3,78],[0,4,3],[1,2,66],[1,3,5],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,54],[0,3,78],[0,4,3],[1,2,66],[1,3,5],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,54],[0,3,78],[0,4,3],[1,2,66],[1,3,5],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,3)=5, w=8\",\"Add (2,3)=32, w=40\",\"Add (0,1)=34, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,54],[0,3,78],[0,4,3],[1,2,66],[1,3,5],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,3)=5 Succeeded, w=8\",\"Add (2,3)=32 Succeeded, w=40\",\"Add (0,1)=34 Succeeded, w=74\",\"Add (0,2)=54 Failed, w=74\",\"Add (1,2)=66 Failed, w=74\",\"Add (0,3)=78 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,54],[0,3,78],[0,4,3],[1,2,66],[1,3,5],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=5,(2,3)=32,(0,1)=34,(0,2)=54,(1,2)=66,(0,3)=78]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=8\",\"Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=74\",\"Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,54],[0,3,78],[0,4,3],[1,2,66],[1,3,5],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=5,(2,3)=32,(0,1)=34,(0,2)=54,(1,2)=66,(0,3)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,2,33],[0,3,54],[0,4,55],[0,5,68],[0,6,29],[1,2,85],[1,3,67],[1,4,37],[1,5,86],[1,6,38],[2,3,3],[2,4,50],[2,5,83],[2,6,48],[3,4,100],[3,5,40],[3,6,14],[4,5,29],[4,6,5],[5,6,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,33],[0,3,54],[0,4,55],[0,5,68],[0,6,29],[1,2,85],[1,3,67],[1,4,37],[1,5,86],[1,6,38],[2,3,3],[2,4,50],[2,5,83],[2,6,48],[3,4,100],[3,5,40],[3,6,14],[4,5,29],[4,6,5],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,33],[0,3,54],[0,4,55],[0,5,68],[0,6,29],[1,2,85],[1,3,67],[1,4,37],[1,5,86],[1,6,38],[2,3,3],[2,4,50],[2,5,83],[2,6,48],[3,4,100],[3,5,40],[3,6,14],[4,5,29],[4,6,5],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,6)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (4,5)\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,33],[0,3,54],[0,4,55],[0,5,68],[0,6,29],[1,2,85],[1,3,67],[1,4,37],[1,5,86],[1,6,38],[2,3,3],[2,4,50],[2,5,83],[2,6,48],[3,4,100],[3,5,40],[3,6,14],[4,5,29],[4,6,5],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (4,6)=5, w=8\",\"Add (3,6)=14, w=22\",\"Add (0,1)=21, w=43\",\"Add (0,6)=29, w=72\",\"Add (4,5)=29, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,33],[0,3,54],[0,4,55],[0,5,68],[0,6,29],[1,2,85],[1,3,67],[1,4,37],[1,5,86],[1,6,38],[2,3,3],[2,4,50],[2,5,83],[2,6,48],[3,4,100],[3,5,40],[3,6,14],[4,5,29],[4,6,5],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (4,6)=5 Succeeded, w=8\",\"Add (3,6)=14 Succeeded, w=22\",\"Add (0,1)=21 Succeeded, w=43\",\"Add (0,6)=29 Succeeded, w=72\",\"Add (4,5)=29 Succeeded, w=101\",\"Add (0,2)=33 Failed, w=101\",\"Add (1,4)=37 Failed, w=101\",\"Add (1,6)=38 Failed, w=101\",\"Add (5,6)=38 Failed, w=101\",\"Add (3,5)=40 Failed, w=101\",\"Add (2,6)=48 Failed, w=101\",\"Add (2,4)=50 Failed, w=101\",\"Add (0,3)=54 Failed, w=101\",\"Add (0,4)=55 Failed, w=101\",\"Add (1,3)=67 Failed, w=101\",\"Add (0,5)=68 Failed, w=101\",\"Add (2,5)=83 Failed, w=101\",\"Add (1,2)=85 Failed, w=101\",\"Add (1,5)=86 Failed, w=101\",\"Add (3,4)=100 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,33],[0,3,54],[0,4,55],[0,5,68],[0,6,29],[1,2,85],[1,3,67],[1,4,37],[1,5,86],[1,6,38],[2,3,3],[2,4,50],[2,5,83],[2,6,48],[3,4,100],[3,5,40],[3,6,14],[4,5,29],[4,6,5],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(4,6)=5,(3,6)=14,(0,1)=21,(0,6)=29,(4,5)=29,(0,2)=33,(1,4)=37,(1,6)=38,(5,6)=38,(3,5)=40,(2,6)=48,(2,4)=50,(0,3)=54,(0,4)=55,(1,3)=67,(0,5)=68,(2,5)=83,(1,2)=85,(1,5)=86,(3,4)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Find(3)=2, Find(6)=4, Add (3,6)=14 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=43\",\"Find(0)=0, Find(6)=2, Add (0,6)=29 Succeeded, w=72\",\"Find(4)=2, Find(5)=5, Add (4,5)=29 Succeeded, w=101\",\"Find(0)=2, Find(2)=2, Add (0,2)=33 Failed, w=101\",\"Find(1)=2, Find(4)=2, Add (1,4)=37 Failed, w=101\",\"Find(1)=2, Find(6)=2, Add (1,6)=38 Failed, w=101\",\"Find(5)=2, Find(6)=2, Add (5,6)=38 Failed, w=101\",\"Find(3)=2, Find(5)=2, Add (3,5)=40 Failed, w=101\",\"Find(2)=2, Find(6)=2, Add (2,6)=48 Failed, w=101\",\"Find(2)=2, Find(4)=2, Add (2,4)=50 Failed, w=101\",\"Find(0)=2, Find(3)=2, Add (0,3)=54 Failed, w=101\",\"Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=101\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=101\",\"Find(0)=2, Find(5)=2, Add (0,5)=68 Failed, w=101\",\"Find(2)=2, Find(5)=2, Add (2,5)=83 Failed, w=101\",\"Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=101\",\"Find(1)=2, Find(5)=2, Add (1,5)=86 Failed, w=101\",\"Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,33],[0,3,54],[0,4,55],[0,5,68],[0,6,29],[1,2,85],[1,3,67],[1,4,37],[1,5,86],[1,6,38],[2,3,3],[2,4,50],[2,5,83],[2,6,48],[3,4,100],[3,5,40],[3,6,14],[4,5,29],[4,6,5],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(4,6)=5,(3,6)=14,(0,1)=21,(0,6)=29,(4,5)=29,(0,2)=33,(1,4)=37,(1,6)=38,(5,6)=38,(3,5)=40,(2,6)=48,(2,4)=50,(0,3)=54,(0,4)=55,(1,3)=67,(0,5)=68,(2,5)=83,(1,2)=85,(1,5)=86,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 4}, Find(3)=2, Find(6)=4, Add (3,6)=14 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=43\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=29 Succeeded, w=72\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=5, Add (4,5)=29 Succeeded, w=101\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=33 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=37 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=38 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=38 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=40 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=48 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=50 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=54 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=68 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=83 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=86 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,61],[0,2,64],[0,3,99],[0,4,10],[0,5,42],[0,6,32],[1,2,20],[1,4,66],[1,5,27],[1,6,66],[1,7,14],[2,3,99],[2,4,99],[2,5,9],[2,7,66],[3,5,11],[3,6,66],[3,7,91],[4,5,91],[4,6,73],[4,7,30],[5,6,29],[5,7,19],[6,7,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,64],[0,3,99],[0,4,10],[0,5,42],[0,6,32],[1,2,20],[1,4,66],[1,5,27],[1,6,66],[1,7,14],[2,3,99],[2,4,99],[2,5,9],[2,7,66],[3,5,11],[3,6,66],[3,7,91],[4,5,91],[4,6,73],[4,7,30],[5,6,29],[5,7,19],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,64],[0,3,99],[0,4,10],[0,5,42],[0,6,32],[1,2,20],[1,4,66],[1,5,27],[1,6,66],[1,7,14],[2,3,99],[2,4,99],[2,5,9],[2,7,66],[3,5,11],[3,6,66],[3,7,91],[4,5,91],[4,6,73],[4,7,30],[5,6,29],[5,7,19],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (1,7)\",\"Add (5,7)\",\"Add (5,6)\",\"Add (4,7)\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,64],[0,3,99],[0,4,10],[0,5,42],[0,6,32],[1,2,20],[1,4,66],[1,5,27],[1,6,66],[1,7,14],[2,3,99],[2,4,99],[2,5,9],[2,7,66],[3,5,11],[3,6,66],[3,7,91],[4,5,91],[4,6,73],[4,7,30],[5,6,29],[5,7,19],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=9, w=9\",\"Add (0,4)=10, w=19\",\"Add (3,5)=11, w=30\",\"Add (1,7)=14, w=44\",\"Add (5,7)=19, w=63\",\"Add (5,6)=29, w=92\",\"Add (4,7)=30, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,64],[0,3,99],[0,4,10],[0,5,42],[0,6,32],[1,2,20],[1,4,66],[1,5,27],[1,6,66],[1,7,14],[2,3,99],[2,4,99],[2,5,9],[2,7,66],[3,5,11],[3,6,66],[3,7,91],[4,5,91],[4,6,73],[4,7,30],[5,6,29],[5,7,19],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=9 Succeeded, w=9\",\"Add (0,4)=10 Succeeded, w=19\",\"Add (3,5)=11 Succeeded, w=30\",\"Add (1,7)=14 Succeeded, w=44\",\"Add (5,7)=19 Succeeded, w=63\",\"Add (1,2)=20 Failed, w=63\",\"Add (1,5)=27 Failed, w=63\",\"Add (5,6)=29 Succeeded, w=92\",\"Add (4,7)=30 Succeeded, w=122\",\"Add (0,6)=32 Failed, w=122\",\"Add (0,5)=42 Failed, w=122\",\"Add (0,1)=61 Failed, w=122\",\"Add (0,2)=64 Failed, w=122\",\"Add (1,4)=66 Failed, w=122\",\"Add (1,6)=66 Failed, w=122\",\"Add (2,7)=66 Failed, w=122\",\"Add (3,6)=66 Failed, w=122\",\"Add (4,6)=73 Failed, w=122\",\"Add (6,7)=88 Failed, w=122\",\"Add (3,7)=91 Failed, w=122\",\"Add (4,5)=91 Failed, w=122\",\"Add (0,3)=99 Failed, w=122\",\"Add (2,3)=99 Failed, w=122\",\"Add (2,4)=99 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,64],[0,3,99],[0,4,10],[0,5,42],[0,6,32],[1,2,20],[1,4,66],[1,5,27],[1,6,66],[1,7,14],[2,3,99],[2,4,99],[2,5,9],[2,7,66],[3,5,11],[3,6,66],[3,7,91],[4,5,91],[4,6,73],[4,7,30],[5,6,29],[5,7,19],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=9,(0,4)=10,(3,5)=11,(1,7)=14,(5,7)=19,(1,2)=20,(1,5)=27,(5,6)=29,(4,7)=30,(0,6)=32,(0,5)=42,(0,1)=61,(0,2)=64,(1,4)=66,(1,6)=66,(2,7)=66,(3,6)=66,(4,6)=73,(6,7)=88,(3,7)=91,(4,5)=91,(0,3)=99,(2,3)=99,(2,4)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=19\",\"Find(3)=3, Find(5)=2, Add (3,5)=11 Succeeded, w=30\",\"Find(1)=1, Find(7)=7, Add (1,7)=14 Succeeded, w=44\",\"Find(5)=2, Find(7)=1, Add (5,7)=19 Succeeded, w=63\",\"Find(1)=2, Find(2)=2, Add (1,2)=20 Failed, w=63\",\"Find(1)=2, Find(5)=2, Add (1,5)=27 Failed, w=63\",\"Find(5)=2, Find(6)=6, Add (5,6)=29 Succeeded, w=92\",\"Find(4)=0, Find(7)=2, Add (4,7)=30 Succeeded, w=122\",\"Find(0)=2, Find(6)=2, Add (0,6)=32 Failed, w=122\",\"Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=122\",\"Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=122\",\"Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=122\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=122\",\"Find(1)=2, Find(6)=2, Add (1,6)=66 Failed, w=122\",\"Find(2)=2, Find(7)=2, Add (2,7)=66 Failed, w=122\",\"Find(3)=2, Find(6)=2, Add (3,6)=66 Failed, w=122\",\"Find(4)=2, Find(6)=2, Add (4,6)=73 Failed, w=122\",\"Find(6)=2, Find(7)=2, Add (6,7)=88 Failed, w=122\",\"Find(3)=2, Find(7)=2, Add (3,7)=91 Failed, w=122\",\"Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=122\",\"Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=122\",\"Find(2)=2, Find(3)=2, Add (2,3)=99 Failed, w=122\",\"Find(2)=2, Find(4)=2, Add (2,4)=99 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,64],[0,3,99],[0,4,10],[0,5,42],[0,6,32],[1,2,20],[1,4,66],[1,5,27],[1,6,66],[1,7,14],[2,3,99],[2,4,99],[2,5,9],[2,7,66],[3,5,11],[3,6,66],[3,7,91],[4,5,91],[4,6,73],[4,7,30],[5,6,29],[5,7,19],[6,7,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=9,(0,4)=10,(3,5)=11,(1,7)=14,(5,7)=19,(1,2)=20,(1,5)=27,(5,6)=29,(4,7)=30,(0,6)=32,(0,5)=42,(0,1)=61,(0,2)=64,(1,4)=66,(1,6)=66,(2,7)=66,(3,6)=66,(4,6)=73,(6,7)=88,(3,7)=91,(4,5)=91,(0,3)=99,(2,3)=99,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 7}, Find(3)=3, Find(5)=2, Add (3,5)=11 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=14 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 1}, Find(5)=2, Find(7)=1, Add (5,7)=19 Succeeded, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 1}, Find(1)=2, Find(2)=2, Add (1,2)=20 Failed, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 1}, Find(1)=2, Find(5)=2, Add (1,5)=27 Failed, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 1}, Find(5)=2, Find(6)=6, Add (5,6)=29 Succeeded, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(4)=0, Find(7)=2, Add (4,7)=30 Succeeded, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=32 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=122\",\"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)=66 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=66 Failed, w=122\",\"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)=66 Failed, w=122\",\"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)=66 Failed, w=122\",\"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)=73 Failed, w=122\",\"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)=88 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=91 Failed, w=122\",\"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)=91 Failed, w=122\",\"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)=99 Failed, w=122\",\"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)=99 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=99 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,94],[0,3,88],[0,4,18],[0,5,42],[0,6,88],[1,2,42],[1,3,67],[1,4,43],[1,5,4],[1,6,37],[1,7,74],[2,6,74],[2,7,79],[3,4,24],[3,5,60],[3,6,47],[3,7,41],[4,5,42],[4,6,58],[4,7,72],[5,6,89],[5,7,49],[6,7,71]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,88],[0,4,18],[0,5,42],[0,6,88],[1,2,42],[1,3,67],[1,4,43],[1,5,4],[1,6,37],[1,7,74],[2,6,74],[2,7,79],[3,4,24],[3,5,60],[3,6,47],[3,7,41],[4,5,42],[4,6,58],[4,7,72],[5,6,89],[5,7,49],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,88],[0,4,18],[0,5,42],[0,6,88],[1,2,42],[1,3,67],[1,4,43],[1,5,4],[1,6,37],[1,7,74],[2,6,74],[2,7,79],[3,4,24],[3,5,60],[3,6,47],[3,7,41],[4,5,42],[4,6,58],[4,7,72],[5,6,89],[5,7,49],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (3,7)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,88],[0,4,18],[0,5,42],[0,6,88],[1,2,42],[1,3,67],[1,4,43],[1,5,4],[1,6,37],[1,7,74],[2,6,74],[2,7,79],[3,4,24],[3,5,60],[3,6,47],[3,7,41],[4,5,42],[4,6,58],[4,7,72],[5,6,89],[5,7,49],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (0,4)=18, w=22\",\"Add (3,4)=24, w=46\",\"Add (1,6)=37, w=83\",\"Add (3,7)=41, w=124\",\"Add (0,5)=42, w=166\",\"Add (1,2)=42, w=208\"],\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,88],[0,4,18],[0,5,42],[0,6,88],[1,2,42],[1,3,67],[1,4,43],[1,5,4],[1,6,37],[1,7,74],[2,6,74],[2,7,79],[3,4,24],[3,5,60],[3,6,47],[3,7,41],[4,5,42],[4,6,58],[4,7,72],[5,6,89],[5,7,49],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (0,4)=18 Succeeded, w=22\",\"Add (3,4)=24 Succeeded, w=46\",\"Add (1,6)=37 Succeeded, w=83\",\"Add (3,7)=41 Succeeded, w=124\",\"Add (0,5)=42 Succeeded, w=166\",\"Add (1,2)=42 Succeeded, w=208\",\"Add (4,5)=42 Failed, w=208\",\"Add (1,4)=43 Failed, w=208\",\"Add (3,6)=47 Failed, w=208\",\"Add (5,7)=49 Failed, w=208\",\"Add (4,6)=58 Failed, w=208\",\"Add (3,5)=60 Failed, w=208\",\"Add (1,3)=67 Failed, w=208\",\"Add (6,7)=71 Failed, w=208\",\"Add (4,7)=72 Failed, w=208\",\"Add (1,7)=74 Failed, w=208\",\"Add (2,6)=74 Failed, w=208\",\"Add (2,7)=79 Failed, w=208\",\"Add (0,3)=88 Failed, w=208\",\"Add (0,6)=88 Failed, w=208\",\"Add (5,6)=89 Failed, w=208\",\"Add (0,1)=94 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,88],[0,4,18],[0,5,42],[0,6,88],[1,2,42],[1,3,67],[1,4,43],[1,5,4],[1,6,37],[1,7,74],[2,6,74],[2,7,79],[3,4,24],[3,5,60],[3,6,47],[3,7,41],[4,5,42],[4,6,58],[4,7,72],[5,6,89],[5,7,49],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(0,4)=18,(3,4)=24,(1,6)=37,(3,7)=41,(0,5)=42,(1,2)=42,(4,5)=42,(1,4)=43,(3,6)=47,(5,7)=49,(4,6)=58,(3,5)=60,(1,3)=67,(6,7)=71,(4,7)=72,(1,7)=74,(2,6)=74,(2,7)=79,(0,3)=88,(0,6)=88,(5,6)=89,(0,1)=94]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=22\",\"Find(3)=3, Find(4)=0, Add (3,4)=24 Succeeded, w=46\",\"Find(1)=1, Find(6)=6, Add (1,6)=37 Succeeded, w=83\",\"Find(3)=0, Find(7)=7, Add (3,7)=41 Succeeded, w=124\",\"Find(0)=0, Find(5)=1, Add (0,5)=42 Succeeded, w=166\",\"Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=208\",\"Find(4)=0, Find(5)=0, Add (4,5)=42 Failed, w=208\",\"Find(1)=0, Find(4)=0, Add (1,4)=43 Failed, w=208\",\"Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=208\",\"Find(5)=0, Find(7)=0, Add (5,7)=49 Failed, w=208\",\"Find(4)=0, Find(6)=0, Add (4,6)=58 Failed, w=208\",\"Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=208\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=208\",\"Find(6)=0, Find(7)=0, Add (6,7)=71 Failed, w=208\",\"Find(4)=0, Find(7)=0, Add (4,7)=72 Failed, w=208\",\"Find(1)=0, Find(7)=0, Add (1,7)=74 Failed, w=208\",\"Find(2)=0, Find(6)=0, Add (2,6)=74 Failed, w=208\",\"Find(2)=0, Find(7)=0, Add (2,7)=79 Failed, w=208\",\"Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=208\",\"Find(0)=0, Find(6)=0, Add (0,6)=88 Failed, w=208\",\"Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=208\",\"Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,94],[0,3,88],[0,4,18],[0,5,42],[0,6,88],[1,2,42],[1,3,67],[1,4,43],[1,5,4],[1,6,37],[1,7,74],[2,6,74],[2,7,79],[3,4,24],[3,5,60],[3,6,47],[3,7,41],[4,5,42],[4,6,58],[4,7,72],[5,6,89],[5,7,49],[6,7,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(0,4)=18,(3,4)=24,(1,6)=37,(3,7)=41,(0,5)=42,(1,2)=42,(4,5)=42,(1,4)=43,(3,6)=47,(5,7)=49,(4,6)=58,(3,5)=60,(1,3)=67,(6,7)=71,(4,7)=72,(1,7)=74,(2,6)=74,(2,7)=79,(0,3)=88,(0,6)=88,(5,6)=89,(0,1)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1, 6: 6, 7: 7}, Find(3)=3, Find(4)=0, Add (3,4)=24 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=37 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=41 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(0)=0, Find(5)=1, Add (0,5)=42 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=42 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=43 Failed, w=208\",\"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)=47 Failed, w=208\",\"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)=49 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=58 Failed, w=208\",\"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)=60 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=208\",\"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)=71 Failed, w=208\",\"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=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=74 Failed, w=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=74 Failed, w=208\",\"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)=79 Failed, w=208\",\"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)=88 Failed, w=208\",\"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)=88 Failed, w=208\",\"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=208\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=94 Failed, w=208\"],\"Answer\":208}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,3,42],[1,2,86],[1,3,76],[1,4,70],[2,3,41],[2,4,98]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,3,42],[1,2,86],[1,3,76],[1,4,70],[2,3,41],[2,4,98]]}",
"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\":[[0,1,29],[0,3,42],[1,2,86],[1,3,76],[1,4,70],[2,3,41],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,3)\",\"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\":[[0,1,29],[0,3,42],[1,2,86],[1,3,76],[1,4,70],[2,3,41],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=29, w=29\",\"Add (2,3)=41, w=70\",\"Add (0,3)=42, w=112\",\"Add (1,4)=70, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,3,42],[1,2,86],[1,3,76],[1,4,70],[2,3,41],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=29 Succeeded, w=29\",\"Add (2,3)=41 Succeeded, w=70\",\"Add (0,3)=42 Succeeded, w=112\",\"Add (1,4)=70 Succeeded, w=182\",\"Add (1,3)=76 Failed, w=182\",\"Add (1,2)=86 Failed, w=182\",\"Add (2,4)=98 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\":[[0,1,29],[0,3,42],[1,2,86],[1,3,76],[1,4,70],[2,3,41],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=29,(2,3)=41,(0,3)=42,(1,4)=70,(1,3)=76,(1,2)=86,(2,4)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=70\",\"Find(0)=0, Find(3)=2, Add (0,3)=42 Succeeded, w=112\",\"Find(1)=0, Find(4)=4, Add (1,4)=70 Succeeded, w=182\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=182\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=182\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 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\":[[0,1,29],[0,3,42],[1,2,86],[1,3,76],[1,4,70],[2,3,41],[2,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=29,(2,3)=41,(0,3)=42,(1,4)=70,(1,3)=76,(1,2)=86,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=42 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=70 Succeeded, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,70],[0,3,60],[0,4,91],[1,2,70],[1,3,32],[1,4,44],[2,3,14],[2,4,72],[3,4,59]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,70],[0,3,60],[0,4,91],[1,2,70],[1,3,32],[1,4,44],[2,3,14],[2,4,72],[3,4,59]]}",
"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\":[[0,2,70],[0,3,60],[0,4,91],[1,2,70],[1,3,32],[1,4,44],[2,3,14],[2,4,72],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (1,4)\",\"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\":[[0,2,70],[0,3,60],[0,4,91],[1,2,70],[1,3,32],[1,4,44],[2,3,14],[2,4,72],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=14, w=14\",\"Add (1,3)=32, w=46\",\"Add (1,4)=44, w=90\",\"Add (0,3)=60, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,70],[0,3,60],[0,4,91],[1,2,70],[1,3,32],[1,4,44],[2,3,14],[2,4,72],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=14 Succeeded, w=14\",\"Add (1,3)=32 Succeeded, w=46\",\"Add (1,4)=44 Succeeded, w=90\",\"Add (3,4)=59 Failed, w=90\",\"Add (0,3)=60 Succeeded, w=150\",\"Add (0,2)=70 Failed, w=150\",\"Add (1,2)=70 Failed, w=150\",\"Add (2,4)=72 Failed, w=150\",\"Add (0,4)=91 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\":[[0,2,70],[0,3,60],[0,4,91],[1,2,70],[1,3,32],[1,4,44],[2,3,14],[2,4,72],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=14,(1,3)=32,(1,4)=44,(3,4)=59,(0,3)=60,(0,2)=70,(1,2)=70,(2,4)=72,(0,4)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Find(1)=1, Find(3)=2, Add (1,3)=32 Succeeded, w=46\",\"Find(1)=2, Find(4)=4, Add (1,4)=44 Succeeded, w=90\",\"Find(3)=2, Find(4)=2, Add (3,4)=59 Failed, w=90\",\"Find(0)=0, Find(3)=2, Add (0,3)=60 Succeeded, w=150\",\"Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=150\",\"Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=150\",\"Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=150\",\"Find(0)=2, Find(4)=2, Add (0,4)=91 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\":[[0,2,70],[0,3,60],[0,4,91],[1,2,70],[1,3,32],[1,4,44],[2,3,14],[2,4,72],[3,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=14,(1,3)=32,(1,4)=44,(3,4)=59,(0,3)=60,(0,2)=70,(1,2)=70,(2,4)=72,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=32 Succeeded, w=46\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=4, Add (1,4)=44 Succeeded, w=90\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=59 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=60 Succeeded, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[1,2,1],[1,4,75],[2,6,19],[3,4,8],[3,6,75],[4,6,68]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[1,2,1],[1,4,75],[2,6,19],[3,4,8],[3,6,75],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[1,2,1],[1,4,75],[2,6,19],[3,4,8],[3,6,75],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (2,6)\",\"Add (4,6)\",\"Add (0,1)\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[1,2,1],[1,4,75],[2,6,19],[3,4,8],[3,6,75],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (3,4)=8, w=9\",\"Add (2,6)=19, w=28\",\"Add (4,6)=68, w=96\",\"Add (0,1)=95, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[1,2,1],[1,4,75],[2,6,19],[3,4,8],[3,6,75],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (3,4)=8 Succeeded, w=9\",\"Add (2,6)=19 Succeeded, w=28\",\"Add (4,6)=68 Succeeded, w=96\",\"Add (1,4)=75 Failed, w=96\",\"Add (3,6)=75 Failed, w=96\",\"Add (0,1)=95 Succeeded, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[1,2,1],[1,4,75],[2,6,19],[3,4,8],[3,6,75],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(3,4)=8,(2,6)=19,(4,6)=68,(1,4)=75,(3,6)=75,(0,1)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=9\",\"Find(2)=1, Find(6)=6, Add (2,6)=19 Succeeded, w=28\",\"Find(4)=3, Find(6)=1, Add (4,6)=68 Succeeded, w=96\",\"Find(1)=3, Find(4)=3, Add (1,4)=75 Failed, w=96\",\"Find(3)=3, Find(6)=3, Add (3,6)=75 Failed, w=96\",\"Find(0)=0, Find(1)=3, Add (0,1)=95 Succeeded, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[1,2,1],[1,4,75],[2,6,19],[3,4,8],[3,6,75],[4,6,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(3,4)=8,(2,6)=19,(4,6)=68,(1,4)=75,(3,6)=75,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=19 Succeeded, w=28\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 3, 5: 5, 6: 1}, Find(4)=3, Find(6)=1, Add (4,6)=68 Succeeded, w=96\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 3, 5: 5, 6: 1}, Find(1)=3, Find(4)=3, Add (1,4)=75 Failed, w=96\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=75 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(1)=3, Add (0,1)=95 Succeeded, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,2],[0,2,32],[0,3,40],[0,4,62],[0,5,99],[0,6,72],[1,2,34],[1,3,90],[1,4,9],[1,5,76],[1,6,70],[2,3,98],[2,4,49],[2,5,29],[2,6,27],[3,4,36],[3,5,78],[3,6,21],[4,5,41],[4,6,69],[5,6,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,32],[0,3,40],[0,4,62],[0,5,99],[0,6,72],[1,2,34],[1,3,90],[1,4,9],[1,5,76],[1,6,70],[2,3,98],[2,4,49],[2,5,29],[2,6,27],[3,4,36],[3,5,78],[3,6,21],[4,5,41],[4,6,69],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,32],[0,3,40],[0,4,62],[0,5,99],[0,6,72],[1,2,34],[1,3,90],[1,4,9],[1,5,76],[1,6,70],[2,3,98],[2,4,49],[2,5,29],[2,6,27],[3,4,36],[3,5,78],[3,6,21],[4,5,41],[4,6,69],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (2,5)\",\"Add (0,2)\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,32],[0,3,40],[0,4,62],[0,5,99],[0,6,72],[1,2,34],[1,3,90],[1,4,9],[1,5,76],[1,6,70],[2,3,98],[2,4,49],[2,5,29],[2,6,27],[3,4,36],[3,5,78],[3,6,21],[4,5,41],[4,6,69],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (1,4)=9, w=11\",\"Add (3,6)=21, w=32\",\"Add (2,6)=27, w=59\",\"Add (2,5)=29, w=88\",\"Add (0,2)=32, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,32],[0,3,40],[0,4,62],[0,5,99],[0,6,72],[1,2,34],[1,3,90],[1,4,9],[1,5,76],[1,6,70],[2,3,98],[2,4,49],[2,5,29],[2,6,27],[3,4,36],[3,5,78],[3,6,21],[4,5,41],[4,6,69],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (1,4)=9 Succeeded, w=11\",\"Add (3,6)=21 Succeeded, w=32\",\"Add (2,6)=27 Succeeded, w=59\",\"Add (2,5)=29 Succeeded, w=88\",\"Add (0,2)=32 Succeeded, w=120\",\"Add (1,2)=34 Failed, w=120\",\"Add (3,4)=36 Failed, w=120\",\"Add (0,3)=40 Failed, w=120\",\"Add (4,5)=41 Failed, w=120\",\"Add (5,6)=48 Failed, w=120\",\"Add (2,4)=49 Failed, w=120\",\"Add (0,4)=62 Failed, w=120\",\"Add (4,6)=69 Failed, w=120\",\"Add (1,6)=70 Failed, w=120\",\"Add (0,6)=72 Failed, w=120\",\"Add (1,5)=76 Failed, w=120\",\"Add (3,5)=78 Failed, w=120\",\"Add (1,3)=90 Failed, w=120\",\"Add (2,3)=98 Failed, w=120\",\"Add (0,5)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,32],[0,3,40],[0,4,62],[0,5,99],[0,6,72],[1,2,34],[1,3,90],[1,4,9],[1,5,76],[1,6,70],[2,3,98],[2,4,49],[2,5,29],[2,6,27],[3,4,36],[3,5,78],[3,6,21],[4,5,41],[4,6,69],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,4)=9,(3,6)=21,(2,6)=27,(2,5)=29,(0,2)=32,(1,2)=34,(3,4)=36,(0,3)=40,(4,5)=41,(5,6)=48,(2,4)=49,(0,4)=62,(4,6)=69,(1,6)=70,(0,6)=72,(1,5)=76,(3,5)=78,(1,3)=90,(2,3)=98,(0,5)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(1)=0, Find(4)=4, Add (1,4)=9 Succeeded, w=11\",\"Find(3)=3, Find(6)=6, Add (3,6)=21 Succeeded, w=32\",\"Find(2)=2, Find(6)=3, Add (2,6)=27 Succeeded, w=59\",\"Find(2)=3, Find(5)=5, Add (2,5)=29 Succeeded, w=88\",\"Find(0)=0, Find(2)=3, Add (0,2)=32 Succeeded, w=120\",\"Find(1)=0, Find(2)=0, Add (1,2)=34 Failed, w=120\",\"Find(3)=0, Find(4)=0, Add (3,4)=36 Failed, w=120\",\"Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=120\",\"Find(4)=0, Find(5)=0, Add (4,5)=41 Failed, w=120\",\"Find(5)=0, Find(6)=0, Add (5,6)=48 Failed, w=120\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=120\",\"Find(0)=0, Find(4)=0, Add (0,4)=62 Failed, w=120\",\"Find(4)=0, Find(6)=0, Add (4,6)=69 Failed, w=120\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=120\",\"Find(0)=0, Find(6)=0, Add (0,6)=72 Failed, w=120\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=120\",\"Find(3)=0, Find(5)=0, Add (3,5)=78 Failed, w=120\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=120\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=120\",\"Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,32],[0,3,40],[0,4,62],[0,5,99],[0,6,72],[1,2,34],[1,3,90],[1,4,9],[1,5,76],[1,6,70],[2,3,98],[2,4,49],[2,5,29],[2,6,27],[3,4,36],[3,5,78],[3,6,21],[4,5,41],[4,6,69],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(1,4)=9,(3,6)=21,(2,6)=27,(2,5)=29,(0,2)=32,(1,2)=34,(3,4)=36,(0,3)=40,(4,5)=41,(5,6)=48,(2,4)=49,(0,4)=62,(4,6)=69,(1,6)=70,(0,6)=72,(1,5)=76,(3,5)=78,(1,3)=90,(2,3)=98,(0,5)=99]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=0, Find(4)=4, Add (1,4)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=21 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 0, 5: 5, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=27 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 0, 5: 3, 6: 3}, Find(2)=3, Find(5)=5, Add (2,5)=29 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 3, 6: 3}, Find(0)=0, Find(2)=3, Add (0,2)=32 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 3}, Find(1)=0, Find(2)=0, Add (1,2)=34 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 3}, Find(3)=0, Find(4)=0, Add (3,4)=36 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 3}, Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(4)=0, Find(5)=0, Add (4,5)=41 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=48 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=62 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=69 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=72 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=78 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,12],[0,2,73],[0,4,80],[1,2,55],[1,3,77],[1,4,20],[1,5,39],[2,3,48],[2,4,35],[2,5,43],[3,4,71],[3,5,45],[4,5,27]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,73],[0,4,80],[1,2,55],[1,3,77],[1,4,20],[1,5,39],[2,3,48],[2,4,35],[2,5,43],[3,4,71],[3,5,45],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,73],[0,4,80],[1,2,55],[1,3,77],[1,4,20],[1,5,39],[2,3,48],[2,4,35],[2,5,43],[3,4,71],[3,5,45],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (3,5)\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,73],[0,4,80],[1,2,55],[1,3,77],[1,4,20],[1,5,39],[2,3,48],[2,4,35],[2,5,43],[3,4,71],[3,5,45],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (1,4)=20, w=32\",\"Add (4,5)=27, w=59\",\"Add (2,4)=35, w=94\",\"Add (3,5)=45, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,73],[0,4,80],[1,2,55],[1,3,77],[1,4,20],[1,5,39],[2,3,48],[2,4,35],[2,5,43],[3,4,71],[3,5,45],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (1,4)=20 Succeeded, w=32\",\"Add (4,5)=27 Succeeded, w=59\",\"Add (2,4)=35 Succeeded, w=94\",\"Add (1,5)=39 Failed, w=94\",\"Add (2,5)=43 Failed, w=94\",\"Add (3,5)=45 Succeeded, w=139\",\"Add (2,3)=48 Failed, w=139\",\"Add (1,2)=55 Failed, w=139\",\"Add (3,4)=71 Failed, w=139\",\"Add (0,2)=73 Failed, w=139\",\"Add (1,3)=77 Failed, w=139\",\"Add (0,4)=80 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,73],[0,4,80],[1,2,55],[1,3,77],[1,4,20],[1,5,39],[2,3,48],[2,4,35],[2,5,43],[3,4,71],[3,5,45],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(1,4)=20,(4,5)=27,(2,4)=35,(1,5)=39,(2,5)=43,(3,5)=45,(2,3)=48,(1,2)=55,(3,4)=71,(0,2)=73,(1,3)=77,(0,4)=80]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(1)=0, Find(4)=4, Add (1,4)=20 Succeeded, w=32\",\"Find(4)=0, Find(5)=5, Add (4,5)=27 Succeeded, w=59\",\"Find(2)=2, Find(4)=0, Add (2,4)=35 Succeeded, w=94\",\"Find(1)=0, Find(5)=0, Add (1,5)=39 Failed, w=94\",\"Find(2)=0, Find(5)=0, Add (2,5)=43 Failed, w=94\",\"Find(3)=3, Find(5)=0, Add (3,5)=45 Succeeded, w=139\",\"Find(2)=0, Find(3)=0, Add (2,3)=48 Failed, w=139\",\"Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=139\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=139\",\"Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=139\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,73],[0,4,80],[1,2,55],[1,3,77],[1,4,20],[1,5,39],[2,3,48],[2,4,35],[2,5,43],[3,4,71],[3,5,45],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(1,4)=20,(4,5)=27,(2,4)=35,(1,5)=39,(2,5)=43,(3,5)=45,(2,3)=48,(1,2)=55,(3,4)=71,(0,2)=73,(1,3)=77,(0,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=20 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=27 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=35 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=39 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)=43 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)=45 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=48 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,49],[0,2,9],[0,5,50],[0,7,98],[1,3,52],[1,7,64],[2,3,38],[2,4,90],[2,5,22],[2,7,82],[3,4,64],[4,5,26],[4,7,82],[5,7,63],[6,7,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,9],[0,5,50],[0,7,98],[1,3,52],[1,7,64],[2,3,38],[2,4,90],[2,5,22],[2,7,82],[3,4,64],[4,5,26],[4,7,82],[5,7,63],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,9],[0,5,50],[0,7,98],[1,3,52],[1,7,64],[2,3,38],[2,4,90],[2,5,22],[2,7,82],[3,4,64],[4,5,26],[4,7,82],[5,7,63],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (5,7)\",\"Add (6,7)\"],\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,9],[0,5,50],[0,7,98],[1,3,52],[1,7,64],[2,3,38],[2,4,90],[2,5,22],[2,7,82],[3,4,64],[4,5,26],[4,7,82],[5,7,63],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (2,5)=22, w=31\",\"Add (4,5)=26, w=57\",\"Add (2,3)=38, w=95\",\"Add (0,1)=49, w=144\",\"Add (5,7)=63, w=207\",\"Add (6,7)=75, w=282\"],\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,9],[0,5,50],[0,7,98],[1,3,52],[1,7,64],[2,3,38],[2,4,90],[2,5,22],[2,7,82],[3,4,64],[4,5,26],[4,7,82],[5,7,63],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (2,5)=22 Succeeded, w=31\",\"Add (4,5)=26 Succeeded, w=57\",\"Add (2,3)=38 Succeeded, w=95\",\"Add (0,1)=49 Succeeded, w=144\",\"Add (0,5)=50 Failed, w=144\",\"Add (1,3)=52 Failed, w=144\",\"Add (5,7)=63 Succeeded, w=207\",\"Add (1,7)=64 Failed, w=207\",\"Add (3,4)=64 Failed, w=207\",\"Add (6,7)=75 Succeeded, w=282\",\"Add (2,7)=82 Failed, w=282\",\"Add (4,7)=82 Failed, w=282\",\"Add (2,4)=90 Failed, w=282\",\"Add (0,7)=98 Failed, w=282\"],\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,9],[0,5,50],[0,7,98],[1,3,52],[1,7,64],[2,3,38],[2,4,90],[2,5,22],[2,7,82],[3,4,64],[4,5,26],[4,7,82],[5,7,63],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(2,5)=22,(4,5)=26,(2,3)=38,(0,1)=49,(0,5)=50,(1,3)=52,(5,7)=63,(1,7)=64,(3,4)=64,(6,7)=75,(2,7)=82,(4,7)=82,(2,4)=90,(0,7)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=31\",\"Find(4)=4, Find(5)=0, Add (4,5)=26 Succeeded, w=57\",\"Find(2)=0, Find(3)=3, Add (2,3)=38 Succeeded, w=95\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=144\",\"Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=144\",\"Find(5)=0, Find(7)=7, Add (5,7)=63 Succeeded, w=207\",\"Find(1)=0, Find(7)=0, Add (1,7)=64 Failed, w=207\",\"Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=207\",\"Find(6)=6, Find(7)=0, Add (6,7)=75 Succeeded, w=282\",\"Find(2)=0, Find(7)=0, Add (2,7)=82 Failed, w=282\",\"Find(4)=0, Find(7)=0, Add (4,7)=82 Failed, w=282\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=282\",\"Find(0)=0, Find(7)=0, Add (0,7)=98 Failed, w=282\"],\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,9],[0,5,50],[0,7,98],[1,3,52],[1,7,64],[2,3,38],[2,4,90],[2,5,22],[2,7,82],[3,4,64],[4,5,26],[4,7,82],[5,7,63],[6,7,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(2,5)=22,(4,5)=26,(2,3)=38,(0,1)=49,(0,5)=50,(1,3)=52,(5,7)=63,(1,7)=64,(3,4)=64,(6,7)=75,(2,7)=82,(4,7)=82,(2,4)=90,(0,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(4)=4, Find(5)=0, Add (4,5)=26 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(3)=3, Add (2,3)=38 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=50 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=63 Succeeded, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=64 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=75 Succeeded, w=282\",\"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)=82 Failed, w=282\",\"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)=82 Failed, w=282\",\"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)=90 Failed, w=282\",\"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)=98 Failed, w=282\"],\"Answer\":282}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,7],[0,2,100],[0,3,59],[1,3,43],[2,3,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,100],[0,3,59],[1,3,43],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,100],[0,3,59],[1,3,43],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,100],[0,3,59],[1,3,43],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (2,3)=31, w=38\",\"Add (1,3)=43, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,100],[0,3,59],[1,3,43],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (2,3)=31 Succeeded, w=38\",\"Add (1,3)=43 Succeeded, w=81\",\"Add (0,3)=59 Failed, w=81\",\"Add (0,2)=100 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,100],[0,3,59],[1,3,43],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(2,3)=31,(1,3)=43,(0,3)=59,(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=38\",\"Find(1)=0, Find(3)=2, Add (1,3)=43 Succeeded, w=81\",\"Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=81\",\"Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,2,100],[0,3,59],[1,3,43],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(2,3)=31,(1,3)=43,(0,3)=59,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(3)=2, Add (1,3)=43 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[0,2,1],[0,3,87],[0,4,72],[0,5,2],[0,6,63],[1,2,32],[1,3,77],[1,4,90],[2,3,49],[2,4,8],[2,5,31],[2,6,25],[3,4,69],[3,6,42],[4,5,46],[4,6,93],[5,6,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,1],[0,3,87],[0,4,72],[0,5,2],[0,6,63],[1,2,32],[1,3,77],[1,4,90],[2,3,49],[2,4,8],[2,5,31],[2,6,25],[3,4,69],[3,6,42],[4,5,46],[4,6,93],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,1],[0,3,87],[0,4,72],[0,5,2],[0,6,63],[1,2,32],[1,3,77],[1,4,90],[2,3,49],[2,4,8],[2,5,31],[2,6,25],[3,4,69],[3,6,42],[4,5,46],[4,6,93],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (3,6)\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,1],[0,3,87],[0,4,72],[0,5,2],[0,6,63],[1,2,32],[1,3,77],[1,4,90],[2,3,49],[2,4,8],[2,5,31],[2,6,25],[3,4,69],[3,6,42],[4,5,46],[4,6,93],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,5)=2, w=3\",\"Add (2,4)=8, w=11\",\"Add (2,6)=25, w=36\",\"Add (1,2)=32, w=68\",\"Add (3,6)=42, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,1],[0,3,87],[0,4,72],[0,5,2],[0,6,63],[1,2,32],[1,3,77],[1,4,90],[2,3,49],[2,4,8],[2,5,31],[2,6,25],[3,4,69],[3,6,42],[4,5,46],[4,6,93],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,5)=2 Succeeded, w=3\",\"Add (2,4)=8 Succeeded, w=11\",\"Add (2,6)=25 Succeeded, w=36\",\"Add (2,5)=31 Failed, w=36\",\"Add (1,2)=32 Succeeded, w=68\",\"Add (5,6)=32 Failed, w=68\",\"Add (3,6)=42 Succeeded, w=110\",\"Add (4,5)=46 Failed, w=110\",\"Add (2,3)=49 Failed, w=110\",\"Add (0,6)=63 Failed, w=110\",\"Add (3,4)=69 Failed, w=110\",\"Add (0,1)=71 Failed, w=110\",\"Add (0,4)=72 Failed, w=110\",\"Add (1,3)=77 Failed, w=110\",\"Add (0,3)=87 Failed, w=110\",\"Add (1,4)=90 Failed, w=110\",\"Add (4,6)=93 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,1],[0,3,87],[0,4,72],[0,5,2],[0,6,63],[1,2,32],[1,3,77],[1,4,90],[2,3,49],[2,4,8],[2,5,31],[2,6,25],[3,4,69],[3,6,42],[4,5,46],[4,6,93],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,5)=2,(2,4)=8,(2,6)=25,(2,5)=31,(1,2)=32,(5,6)=32,(3,6)=42,(4,5)=46,(2,3)=49,(0,6)=63,(3,4)=69,(0,1)=71,(0,4)=72,(1,3)=77,(0,3)=87,(1,4)=90,(4,6)=93]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=3\",\"Find(2)=0, Find(4)=4, Add (2,4)=8 Succeeded, w=11\",\"Find(2)=0, Find(6)=6, Add (2,6)=25 Succeeded, w=36\",\"Find(2)=0, Find(5)=0, Add (2,5)=31 Failed, w=36\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=68\",\"Find(5)=0, Find(6)=0, Add (5,6)=32 Failed, w=68\",\"Find(3)=3, Find(6)=0, Add (3,6)=42 Succeeded, w=110\",\"Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=110\",\"Find(0)=0, Find(6)=0, Add (0,6)=63 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=110\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=110\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=110\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=110\",\"Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,1],[0,3,87],[0,4,72],[0,5,2],[0,6,63],[1,2,32],[1,3,77],[1,4,90],[2,3,49],[2,4,8],[2,5,31],[2,6,25],[3,4,69],[3,6,42],[4,5,46],[4,6,93],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,5)=2,(2,4)=8,(2,6)=25,(2,5)=31,(1,2)=32,(5,6)=32,(3,6)=42,(4,5)=46,(2,3)=49,(0,6)=63,(3,4)=69,(0,1)=71,(0,4)=72,(1,3)=77,(0,3)=87,(1,4)=90,(4,6)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(4)=4, Add (2,4)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=25 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=31 Failed, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=32 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=42 Succeeded, w=110\",\"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=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=63 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,86],[0,2,28],[0,3,66],[1,2,13],[1,3,32],[2,3,60]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,28],[0,3,66],[1,2,13],[1,3,32],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,28],[0,3,66],[1,2,13],[1,3,32],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,28],[0,3,66],[1,2,13],[1,3,32],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (0,2)=28, w=41\",\"Add (1,3)=32, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,28],[0,3,66],[1,2,13],[1,3,32],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (0,2)=28 Succeeded, w=41\",\"Add (1,3)=32 Succeeded, w=73\",\"Add (2,3)=60 Failed, w=73\",\"Add (0,3)=66 Failed, w=73\",\"Add (0,1)=86 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,28],[0,3,66],[1,2,13],[1,3,32],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(0,2)=28,(1,3)=32,(2,3)=60,(0,3)=66,(0,1)=86]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=41\",\"Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=73\",\"Find(2)=1, Find(3)=1, Add (2,3)=60 Failed, w=73\",\"Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=73\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,28],[0,3,66],[1,2,13],[1,3,32],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(0,2)=28,(1,3)=32,(2,3)=60,(0,3)=66,(0,1)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=60 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,15],[0,2,25],[0,3,76],[0,4,90],[0,5,100],[1,2,24],[1,3,70],[1,4,59],[1,5,19],[2,3,8],[2,4,88],[2,5,63],[3,4,72],[3,5,85],[4,5,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,25],[0,3,76],[0,4,90],[0,5,100],[1,2,24],[1,3,70],[1,4,59],[1,5,19],[2,3,8],[2,4,88],[2,5,63],[3,4,72],[3,5,85],[4,5,64]]}",
"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],\"edges\":[[0,1,15],[0,2,25],[0,3,76],[0,4,90],[0,5,100],[1,2,24],[1,3,70],[1,4,59],[1,5,19],[2,3,8],[2,4,88],[2,5,63],[3,4,72],[3,5,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,25],[0,3,76],[0,4,90],[0,5,100],[1,2,24],[1,3,70],[1,4,59],[1,5,19],[2,3,8],[2,4,88],[2,5,63],[3,4,72],[3,5,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,1)=15, w=23\",\"Add (1,5)=19, w=42\",\"Add (1,2)=24, w=66\",\"Add (1,4)=59, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,25],[0,3,76],[0,4,90],[0,5,100],[1,2,24],[1,3,70],[1,4,59],[1,5,19],[2,3,8],[2,4,88],[2,5,63],[3,4,72],[3,5,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,1)=15 Succeeded, w=23\",\"Add (1,5)=19 Succeeded, w=42\",\"Add (1,2)=24 Succeeded, w=66\",\"Add (0,2)=25 Failed, w=66\",\"Add (1,4)=59 Succeeded, w=125\",\"Add (2,5)=63 Failed, w=125\",\"Add (4,5)=64 Failed, w=125\",\"Add (1,3)=70 Failed, w=125\",\"Add (3,4)=72 Failed, w=125\",\"Add (0,3)=76 Failed, w=125\",\"Add (3,5)=85 Failed, w=125\",\"Add (2,4)=88 Failed, w=125\",\"Add (0,4)=90 Failed, w=125\",\"Add (0,5)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,25],[0,3,76],[0,4,90],[0,5,100],[1,2,24],[1,3,70],[1,4,59],[1,5,19],[2,3,8],[2,4,88],[2,5,63],[3,4,72],[3,5,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,1)=15,(1,5)=19,(1,2)=24,(0,2)=25,(1,4)=59,(2,5)=63,(4,5)=64,(1,3)=70,(3,4)=72,(0,3)=76,(3,5)=85,(2,4)=88,(0,4)=90,(0,5)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=23\",\"Find(1)=0, Find(5)=5, Add (1,5)=19 Succeeded, w=42\",\"Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=66\",\"Find(0)=0, Find(2)=0, Add (0,2)=25 Failed, w=66\",\"Find(1)=0, Find(4)=4, Add (1,4)=59 Succeeded, w=125\",\"Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=125\",\"Find(4)=0, Find(5)=0, Add (4,5)=64 Failed, w=125\",\"Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=125\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=125\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=125\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=125\",\"Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=125\",\"Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,15],[0,2,25],[0,3,76],[0,4,90],[0,5,100],[1,2,24],[1,3,70],[1,4,59],[1,5,19],[2,3,8],[2,4,88],[2,5,63],[3,4,72],[3,5,85],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,1)=15,(1,5)=19,(1,2)=24,(0,2)=25,(1,4)=59,(2,5)=63,(4,5)=64,(1,3)=70,(3,4)=72,(0,3)=76,(3,5)=85,(2,4)=88,(0,4)=90,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=19 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=25 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=59 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=63 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=64 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,23],[0,2,48],[0,3,87],[0,5,88],[1,2,50],[1,3,79],[1,4,55],[1,5,92],[2,3,84],[2,4,69],[2,5,10],[3,4,43],[3,5,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,48],[0,3,87],[0,5,88],[1,2,50],[1,3,79],[1,4,55],[1,5,92],[2,3,84],[2,4,69],[2,5,10],[3,4,43],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,48],[0,3,87],[0,5,88],[1,2,50],[1,3,79],[1,4,55],[1,5,92],[2,3,84],[2,4,69],[2,5,10],[3,4,43],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,48],[0,3,87],[0,5,88],[1,2,50],[1,3,79],[1,4,55],[1,5,92],[2,3,84],[2,4,69],[2,5,10],[3,4,43],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=10, w=10\",\"Add (0,1)=23, w=33\",\"Add (3,4)=43, w=76\",\"Add (0,2)=48, w=124\",\"Add (1,4)=55, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,48],[0,3,87],[0,5,88],[1,2,50],[1,3,79],[1,4,55],[1,5,92],[2,3,84],[2,4,69],[2,5,10],[3,4,43],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=10 Succeeded, w=10\",\"Add (0,1)=23 Succeeded, w=33\",\"Add (3,4)=43 Succeeded, w=76\",\"Add (0,2)=48 Succeeded, w=124\",\"Add (1,2)=50 Failed, w=124\",\"Add (1,4)=55 Succeeded, w=179\",\"Add (2,4)=69 Failed, w=179\",\"Add (1,3)=79 Failed, w=179\",\"Add (3,5)=83 Failed, w=179\",\"Add (2,3)=84 Failed, w=179\",\"Add (0,3)=87 Failed, w=179\",\"Add (0,5)=88 Failed, w=179\",\"Add (1,5)=92 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,48],[0,3,87],[0,5,88],[1,2,50],[1,3,79],[1,4,55],[1,5,92],[2,3,84],[2,4,69],[2,5,10],[3,4,43],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=10,(0,1)=23,(3,4)=43,(0,2)=48,(1,2)=50,(1,4)=55,(2,4)=69,(1,3)=79,(3,5)=83,(2,3)=84,(0,3)=87,(0,5)=88,(1,5)=92]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=33\",\"Find(3)=3, Find(4)=4, Add (3,4)=43 Succeeded, w=76\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=124\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=124\",\"Find(1)=0, Find(4)=3, Add (1,4)=55 Succeeded, w=179\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=179\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=179\",\"Find(3)=0, Find(5)=0, Add (3,5)=83 Failed, w=179\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=179\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=179\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=179\",\"Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,48],[0,3,87],[0,5,88],[1,2,50],[1,3,79],[1,4,55],[1,5,92],[2,3,84],[2,4,69],[2,5,10],[3,4,43],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=10,(0,1)=23,(3,4)=43,(0,2)=48,(1,2)=50,(1,4)=55,(2,4)=69,(1,3)=79,(3,5)=83,(2,3)=84,(0,3)=87,(0,5)=88,(1,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=43 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2}, Find(1)=0, Find(4)=3, Add (1,4)=55 Succeeded, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=83 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,80],[1,2,67],[1,3,0],[2,3,94]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[1,2,67],[1,3,0],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[1,2,67],[1,3,0],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[1,2,67],[1,3,0],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,2)=67, w=67\",\"Add (0,2)=80, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[1,2,67],[1,3,0],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,2)=67 Succeeded, w=67\",\"Add (0,2)=80 Succeeded, w=147\",\"Add (2,3)=94 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[1,2,67],[1,3,0],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=67,(0,2)=80,(2,3)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=67 Succeeded, w=67\",\"Find(0)=0, Find(2)=1, Add (0,2)=80 Succeeded, w=147\",\"Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,80],[1,2,67],[1,3,0],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=67,(0,2)=80,(2,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=67 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=80 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,2,73],[0,4,94],[1,2,16],[1,3,73],[1,4,100],[2,3,59],[2,4,45],[3,4,99],[4,5,12]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,73],[0,4,94],[1,2,16],[1,3,73],[1,4,100],[2,3,59],[2,4,45],[3,4,99],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,73],[0,4,94],[1,2,16],[1,3,73],[1,4,100],[2,3,59],[2,4,45],[3,4,99],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,73],[0,4,94],[1,2,16],[1,3,73],[1,4,100],[2,3,59],[2,4,45],[3,4,99],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (4,5)=12, w=18\",\"Add (1,2)=16, w=34\",\"Add (2,4)=45, w=79\",\"Add (2,3)=59, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,73],[0,4,94],[1,2,16],[1,3,73],[1,4,100],[2,3,59],[2,4,45],[3,4,99],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (4,5)=12 Succeeded, w=18\",\"Add (1,2)=16 Succeeded, w=34\",\"Add (2,4)=45 Succeeded, w=79\",\"Add (2,3)=59 Succeeded, w=138\",\"Add (0,2)=73 Failed, w=138\",\"Add (1,3)=73 Failed, w=138\",\"Add (0,4)=94 Failed, w=138\",\"Add (3,4)=99 Failed, w=138\",\"Add (1,4)=100 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,73],[0,4,94],[1,2,16],[1,3,73],[1,4,100],[2,3,59],[2,4,45],[3,4,99],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(4,5)=12,(1,2)=16,(2,4)=45,(2,3)=59,(0,2)=73,(1,3)=73,(0,4)=94,(3,4)=99,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=18\",\"Find(1)=0, Find(2)=2, Add (1,2)=16 Succeeded, w=34\",\"Find(2)=0, Find(4)=4, Add (2,4)=45 Succeeded, w=79\",\"Find(2)=0, Find(3)=3, Add (2,3)=59 Succeeded, w=138\",\"Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=138\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=138\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=138\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=138\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,73],[0,4,94],[1,2,16],[1,3,73],[1,4,100],[2,3,59],[2,4,45],[3,4,99],[4,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(4,5)=12,(1,2)=16,(2,4)=45,(2,3)=59,(0,2)=73,(1,3)=73,(0,4)=94,(3,4)=99,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 4}, Find(1)=0, Find(2)=2, Add (1,2)=16 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4}, Find(2)=0, Find(4)=4, Add (2,4)=45 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(2)=0, Find(3)=3, Add (2,3)=59 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,15],[0,3,84],[1,2,20],[1,3,52],[2,3,53]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,84],[1,2,20],[1,3,52],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,84],[1,2,20],[1,3,52],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,84],[1,2,20],[1,3,52],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=15, w=15\",\"Add (1,2)=20, w=35\",\"Add (1,3)=52, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,84],[1,2,20],[1,3,52],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=15 Succeeded, w=15\",\"Add (1,2)=20 Succeeded, w=35\",\"Add (1,3)=52 Succeeded, w=87\",\"Add (2,3)=53 Failed, w=87\",\"Add (0,3)=84 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,84],[1,2,20],[1,3,52],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=15,(1,2)=20,(1,3)=52,(2,3)=53,(0,3)=84]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=15\",\"Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=35\",\"Find(1)=0, Find(3)=3, Add (1,3)=52 Succeeded, w=87\",\"Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=87\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,15],[0,3,84],[1,2,20],[1,3,52],[2,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=15,(1,2)=20,(1,3)=52,(2,3)=53,(0,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=52 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=53 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,15],[0,2,1],[0,3,35],[1,2,44],[2,3,21]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,1],[0,3,35],[1,2,44],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,1],[0,3,35],[1,2,44],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,1],[0,3,35],[1,2,44],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,1)=15, w=16\",\"Add (2,3)=21, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,1],[0,3,35],[1,2,44],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,1)=15 Succeeded, w=16\",\"Add (2,3)=21 Succeeded, w=37\",\"Add (0,3)=35 Failed, w=37\",\"Add (1,2)=44 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,1],[0,3,35],[1,2,44],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,1)=15,(2,3)=21,(0,3)=35,(1,2)=44]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=16\",\"Find(2)=0, Find(3)=3, Add (2,3)=21 Succeeded, w=37\",\"Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=37\",\"Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[0,2,1],[0,3,35],[1,2,44],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,1)=15,(2,3)=21,(0,3)=35,(1,2)=44]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=21 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,64],[1,2,87],[1,3,89],[2,3,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[1,2,87],[1,3,89],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":239}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[1,2,87],[1,3,89],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":239}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[1,2,87],[1,3,89],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=64, w=64\",\"Add (1,2)=87, w=151\",\"Add (2,3)=88, w=239\"],\"Answer\":239}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[1,2,87],[1,3,89],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=64 Succeeded, w=64\",\"Add (1,2)=87 Succeeded, w=151\",\"Add (2,3)=88 Succeeded, w=239\",\"Add (1,3)=89 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[1,2,87],[1,3,89],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=64,(1,2)=87,(2,3)=88,(1,3)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=64\",\"Find(1)=0, Find(2)=2, Add (1,2)=87 Succeeded, w=151\",\"Find(2)=0, Find(3)=3, Add (2,3)=88 Succeeded, w=239\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[1,2,87],[1,3,89],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=64,(1,2)=87,(2,3)=88,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=64 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=87 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=88 Succeeded, w=239\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=239\"],\"Answer\":239}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,33],[0,2,87],[0,3,48],[1,2,91]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,87],[0,3,48],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,87],[0,3,48],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,87],[0,3,48],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=33, w=33\",\"Add (0,3)=48, w=81\",\"Add (0,2)=87, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,87],[0,3,48],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=33 Succeeded, w=33\",\"Add (0,3)=48 Succeeded, w=81\",\"Add (0,2)=87 Succeeded, w=168\",\"Add (1,2)=91 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,87],[0,3,48],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=33,(0,3)=48,(0,2)=87,(1,2)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=33\",\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=81\",\"Find(0)=0, Find(2)=2, Add (0,2)=87 Succeeded, w=168\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,87],[0,3,48],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=33,(0,3)=48,(0,2)=87,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=87 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,81],[0,2,24],[0,3,81],[1,2,47],[1,3,90],[2,3,82]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,24],[0,3,81],[1,2,47],[1,3,90],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,24],[0,3,81],[1,2,47],[1,3,90],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":152}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,24],[0,3,81],[1,2,47],[1,3,90],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=24, w=24\",\"Add (1,2)=47, w=71\",\"Add (0,3)=81, w=152\"],\"Answer\":152}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,24],[0,3,81],[1,2,47],[1,3,90],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=24 Succeeded, w=24\",\"Add (1,2)=47 Succeeded, w=71\",\"Add (0,1)=81 Failed, w=71\",\"Add (0,3)=81 Succeeded, w=152\",\"Add (2,3)=82 Failed, w=152\",\"Add (1,3)=90 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,24],[0,3,81],[1,2,47],[1,3,90],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=24,(1,2)=47,(0,1)=81,(0,3)=81,(2,3)=82,(1,3)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=24\",\"Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=71\",\"Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=71\",\"Find(0)=0, Find(3)=3, Add (0,3)=81 Succeeded, w=152\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=152\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,24],[0,3,81],[1,2,47],[1,3,90],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=24,(1,2)=47,(0,1)=81,(0,3)=81,(2,3)=82,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=81 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,94],[0,2,6],[0,3,5],[0,4,30],[0,5,39],[0,6,71],[1,2,84],[1,3,61],[1,5,26],[2,3,36],[2,4,92],[2,6,52],[3,4,51],[3,5,86],[3,6,12],[4,5,94],[4,6,54],[5,6,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,6],[0,3,5],[0,4,30],[0,5,39],[0,6,71],[1,2,84],[1,3,61],[1,5,26],[2,3,36],[2,4,92],[2,6,52],[3,4,51],[3,5,86],[3,6,12],[4,5,94],[4,6,54],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,6],[0,3,5],[0,4,30],[0,5,39],[0,6,71],[1,2,84],[1,3,61],[1,5,26],[2,3,36],[2,4,92],[2,6,52],[3,4,51],[3,5,86],[3,6,12],[4,5,94],[4,6,54],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (5,6)\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,6],[0,3,5],[0,4,30],[0,5,39],[0,6,71],[1,2,84],[1,3,61],[1,5,26],[2,3,36],[2,4,92],[2,6,52],[3,4,51],[3,5,86],[3,6,12],[4,5,94],[4,6,54],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (0,2)=6, w=11\",\"Add (3,6)=12, w=23\",\"Add (1,5)=26, w=49\",\"Add (0,4)=30, w=79\",\"Add (5,6)=34, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,6],[0,3,5],[0,4,30],[0,5,39],[0,6,71],[1,2,84],[1,3,61],[1,5,26],[2,3,36],[2,4,92],[2,6,52],[3,4,51],[3,5,86],[3,6,12],[4,5,94],[4,6,54],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (0,2)=6 Succeeded, w=11\",\"Add (3,6)=12 Succeeded, w=23\",\"Add (1,5)=26 Succeeded, w=49\",\"Add (0,4)=30 Succeeded, w=79\",\"Add (5,6)=34 Succeeded, w=113\",\"Add (2,3)=36 Failed, w=113\",\"Add (0,5)=39 Failed, w=113\",\"Add (3,4)=51 Failed, w=113\",\"Add (2,6)=52 Failed, w=113\",\"Add (4,6)=54 Failed, w=113\",\"Add (1,3)=61 Failed, w=113\",\"Add (0,6)=71 Failed, w=113\",\"Add (1,2)=84 Failed, w=113\",\"Add (3,5)=86 Failed, w=113\",\"Add (2,4)=92 Failed, w=113\",\"Add (0,1)=94 Failed, w=113\",\"Add (4,5)=94 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,6],[0,3,5],[0,4,30],[0,5,39],[0,6,71],[1,2,84],[1,3,61],[1,5,26],[2,3,36],[2,4,92],[2,6,52],[3,4,51],[3,5,86],[3,6,12],[4,5,94],[4,6,54],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(0,2)=6,(3,6)=12,(1,5)=26,(0,4)=30,(5,6)=34,(2,3)=36,(0,5)=39,(3,4)=51,(2,6)=52,(4,6)=54,(1,3)=61,(0,6)=71,(1,2)=84,(3,5)=86,(2,4)=92,(0,1)=94,(4,5)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Find(3)=0, Find(6)=6, Add (3,6)=12 Succeeded, w=23\",\"Find(1)=1, Find(5)=5, Add (1,5)=26 Succeeded, w=49\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=79\",\"Find(5)=1, Find(6)=0, Add (5,6)=34 Succeeded, w=113\",\"Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=113\",\"Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=113\",\"Find(3)=1, Find(4)=1, Add (3,4)=51 Failed, w=113\",\"Find(2)=1, Find(6)=1, Add (2,6)=52 Failed, w=113\",\"Find(4)=1, Find(6)=1, Add (4,6)=54 Failed, w=113\",\"Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=113\",\"Find(0)=1, Find(6)=1, Add (0,6)=71 Failed, w=113\",\"Find(1)=1, Find(2)=1, Add (1,2)=84 Failed, w=113\",\"Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=113\",\"Find(2)=1, Find(4)=1, Add (2,4)=92 Failed, w=113\",\"Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=113\",\"Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,6],[0,3,5],[0,4,30],[0,5,39],[0,6,71],[1,2,84],[1,3,61],[1,5,26],[2,3,36],[2,4,92],[2,6,52],[3,4,51],[3,5,86],[3,6,12],[4,5,94],[4,6,54],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(0,2)=6,(3,6)=12,(1,5)=26,(0,4)=30,(5,6)=34,(2,3)=36,(0,5)=39,(3,4)=51,(2,6)=52,(4,6)=54,(1,3)=61,(0,6)=71,(1,2)=84,(3,5)=86,(2,4)=92,(0,1)=94,(4,5)=94]\",\"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: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 1, 6: 0}, Find(1)=1, Find(5)=5, Add (1,5)=26 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(5)=1, Find(6)=0, Add (5,6)=34 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 0}, Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=1, Find(5)=1, Add (0,5)=39 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(3)=1, Find(4)=1, Add (3,4)=51 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=52 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=54 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=71 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=84 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=92 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,16],[0,3,58],[0,4,3],[1,3,6],[1,4,48],[2,4,52],[3,4,67]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[0,3,58],[0,4,3],[1,3,6],[1,4,48],[2,4,52],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[0,3,58],[0,4,3],[1,3,6],[1,4,48],[2,4,52],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[0,3,58],[0,4,3],[1,3,6],[1,4,48],[2,4,52],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,3)=6, w=9\",\"Add (0,2)=16, w=25\",\"Add (1,4)=48, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[0,3,58],[0,4,3],[1,3,6],[1,4,48],[2,4,52],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,3)=6 Succeeded, w=9\",\"Add (0,2)=16 Succeeded, w=25\",\"Add (1,4)=48 Succeeded, w=73\",\"Add (2,4)=52 Failed, w=73\",\"Add (0,3)=58 Failed, w=73\",\"Add (3,4)=67 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[0,3,58],[0,4,3],[1,3,6],[1,4,48],[2,4,52],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=6,(0,2)=16,(1,4)=48,(2,4)=52,(0,3)=58,(3,4)=67]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=25\",\"Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=73\",\"Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=73\",\"Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=73\",\"Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[0,3,58],[0,4,3],[1,3,6],[1,4,48],[2,4,52],[3,4,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=6,(0,2)=16,(1,4)=48,(2,4)=52,(0,3)=58,(3,4)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,11],[0,3,77],[1,2,39],[2,3,55]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,77],[1,2,39],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,77],[1,2,39],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,77],[1,2,39],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11, w=11\",\"Add (1,2)=39, w=50\",\"Add (2,3)=55, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,77],[1,2,39],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11 Succeeded, w=11\",\"Add (1,2)=39 Succeeded, w=50\",\"Add (2,3)=55 Succeeded, w=105\",\"Add (0,3)=77 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,77],[1,2,39],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(1,2)=39,(2,3)=55,(0,3)=77]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=0, Add (1,2)=39 Succeeded, w=50\",\"Find(2)=0, Find(3)=3, Add (2,3)=55 Succeeded, w=105\",\"Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[0,3,77],[1,2,39],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(1,2)=39,(2,3)=55,(0,3)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=39 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=55 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,59],[0,2,61],[0,3,71],[0,4,18],[0,5,61],[0,6,17],[1,2,56],[1,3,86],[1,4,8],[1,5,98],[1,6,2],[2,3,56],[2,4,55],[2,5,53],[2,6,46],[3,4,6],[3,5,92],[3,6,78],[4,5,14],[4,6,83],[5,6,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,61],[0,3,71],[0,4,18],[0,5,61],[0,6,17],[1,2,56],[1,3,86],[1,4,8],[1,5,98],[1,6,2],[2,3,56],[2,4,55],[2,5,53],[2,6,46],[3,4,6],[3,5,92],[3,6,78],[4,5,14],[4,6,83],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,61],[0,3,71],[0,4,18],[0,5,61],[0,6,17],[1,2,56],[1,3,86],[1,4,8],[1,5,98],[1,6,2],[2,3,56],[2,4,55],[2,5,53],[2,6,46],[3,4,6],[3,5,92],[3,6,78],[4,5,14],[4,6,83],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (2,6)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,61],[0,3,71],[0,4,18],[0,5,61],[0,6,17],[1,2,56],[1,3,86],[1,4,8],[1,5,98],[1,6,2],[2,3,56],[2,4,55],[2,5,53],[2,6,46],[3,4,6],[3,5,92],[3,6,78],[4,5,14],[4,6,83],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2, w=2\",\"Add (3,4)=6, w=8\",\"Add (1,4)=8, w=16\",\"Add (4,5)=14, w=30\",\"Add (0,6)=17, w=47\",\"Add (2,6)=46, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,61],[0,3,71],[0,4,18],[0,5,61],[0,6,17],[1,2,56],[1,3,86],[1,4,8],[1,5,98],[1,6,2],[2,3,56],[2,4,55],[2,5,53],[2,6,46],[3,4,6],[3,5,92],[3,6,78],[4,5,14],[4,6,83],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2 Succeeded, w=2\",\"Add (3,4)=6 Succeeded, w=8\",\"Add (1,4)=8 Succeeded, w=16\",\"Add (4,5)=14 Succeeded, w=30\",\"Add (0,6)=17 Succeeded, w=47\",\"Add (0,4)=18 Failed, w=47\",\"Add (5,6)=31 Failed, w=47\",\"Add (2,6)=46 Succeeded, w=93\",\"Add (2,5)=53 Failed, w=93\",\"Add (2,4)=55 Failed, w=93\",\"Add (1,2)=56 Failed, w=93\",\"Add (2,3)=56 Failed, w=93\",\"Add (0,1)=59 Failed, w=93\",\"Add (0,2)=61 Failed, w=93\",\"Add (0,5)=61 Failed, w=93\",\"Add (0,3)=71 Failed, w=93\",\"Add (3,6)=78 Failed, w=93\",\"Add (4,6)=83 Failed, w=93\",\"Add (1,3)=86 Failed, w=93\",\"Add (3,5)=92 Failed, w=93\",\"Add (1,5)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,61],[0,3,71],[0,4,18],[0,5,61],[0,6,17],[1,2,56],[1,3,86],[1,4,8],[1,5,98],[1,6,2],[2,3,56],[2,4,55],[2,5,53],[2,6,46],[3,4,6],[3,5,92],[3,6,78],[4,5,14],[4,6,83],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(3,4)=6,(1,4)=8,(4,5)=14,(0,6)=17,(0,4)=18,(5,6)=31,(2,6)=46,(2,5)=53,(2,4)=55,(1,2)=56,(2,3)=56,(0,1)=59,(0,2)=61,(0,5)=61,(0,3)=71,(3,6)=78,(4,6)=83,(1,3)=86,(3,5)=92,(1,5)=98]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=8\",\"Find(1)=1, Find(4)=3, Add (1,4)=8 Succeeded, w=16\",\"Find(4)=1, Find(5)=5, Add (4,5)=14 Succeeded, w=30\",\"Find(0)=0, Find(6)=1, Add (0,6)=17 Succeeded, w=47\",\"Find(0)=1, Find(4)=1, Add (0,4)=18 Failed, w=47\",\"Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=47\",\"Find(2)=2, Find(6)=1, Add (2,6)=46 Succeeded, w=93\",\"Find(2)=1, Find(5)=1, Add (2,5)=53 Failed, w=93\",\"Find(2)=1, Find(4)=1, Add (2,4)=55 Failed, w=93\",\"Find(1)=1, Find(2)=1, Add (1,2)=56 Failed, w=93\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=93\",\"Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=93\",\"Find(0)=1, Find(5)=1, Add (0,5)=61 Failed, w=93\",\"Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=93\",\"Find(3)=1, Find(6)=1, Add (3,6)=78 Failed, w=93\",\"Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=93\",\"Find(1)=1, Find(3)=1, Add (1,3)=86 Failed, w=93\",\"Find(3)=1, Find(5)=1, Add (3,5)=92 Failed, w=93\",\"Find(1)=1, Find(5)=1, Add (1,5)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,59],[0,2,61],[0,3,71],[0,4,18],[0,5,61],[0,6,17],[1,2,56],[1,3,86],[1,4,8],[1,5,98],[1,6,2],[2,3,56],[2,4,55],[2,5,53],[2,6,46],[3,4,6],[3,5,92],[3,6,78],[4,5,14],[4,6,83],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(3,4)=6,(1,4)=8,(4,5)=14,(0,6)=17,(0,4)=18,(5,6)=31,(2,6)=46,(2,5)=53,(2,4)=55,(1,2)=56,(2,3)=56,(0,1)=59,(0,2)=61,(0,5)=61,(0,3)=71,(3,6)=78,(4,6)=83,(1,3)=86,(3,5)=92,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 3, 5: 5, 6: 1}, Find(1)=1, Find(4)=3, Add (1,4)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=5, Add (4,5)=14 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=17 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=18 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=46 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=53 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=55 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=56 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 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, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=78 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=86 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=92 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,70],[0,3,17],[0,4,28],[0,5,50],[1,2,17],[1,4,59],[1,5,68],[1,6,68],[2,5,43],[2,6,15],[4,5,88],[4,6,86],[5,6,8]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,70],[0,3,17],[0,4,28],[0,5,50],[1,2,17],[1,4,59],[1,5,68],[1,6,68],[2,5,43],[2,6,15],[4,5,88],[4,6,86],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,70],[0,3,17],[0,4,28],[0,5,50],[1,2,17],[1,4,59],[1,5,68],[1,6,68],[2,5,43],[2,6,15],[4,5,88],[4,6,86],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,5)\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,70],[0,3,17],[0,4,28],[0,5,50],[1,2,17],[1,4,59],[1,5,68],[1,6,68],[2,5,43],[2,6,15],[4,5,88],[4,6,86],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=8, w=8\",\"Add (2,6)=15, w=23\",\"Add (0,3)=17, w=40\",\"Add (1,2)=17, w=57\",\"Add (0,4)=28, w=85\",\"Add (0,5)=50, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,70],[0,3,17],[0,4,28],[0,5,50],[1,2,17],[1,4,59],[1,5,68],[1,6,68],[2,5,43],[2,6,15],[4,5,88],[4,6,86],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=8 Succeeded, w=8\",\"Add (2,6)=15 Succeeded, w=23\",\"Add (0,3)=17 Succeeded, w=40\",\"Add (1,2)=17 Succeeded, w=57\",\"Add (0,4)=28 Succeeded, w=85\",\"Add (2,5)=43 Failed, w=85\",\"Add (0,5)=50 Succeeded, w=135\",\"Add (1,4)=59 Failed, w=135\",\"Add (1,5)=68 Failed, w=135\",\"Add (1,6)=68 Failed, w=135\",\"Add (0,2)=70 Failed, w=135\",\"Add (4,6)=86 Failed, w=135\",\"Add (4,5)=88 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,70],[0,3,17],[0,4,28],[0,5,50],[1,2,17],[1,4,59],[1,5,68],[1,6,68],[2,5,43],[2,6,15],[4,5,88],[4,6,86],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=8,(2,6)=15,(0,3)=17,(1,2)=17,(0,4)=28,(2,5)=43,(0,5)=50,(1,4)=59,(1,5)=68,(1,6)=68,(0,2)=70,(4,6)=86,(4,5)=88]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=8 Succeeded, w=8\",\"Find(2)=2, Find(6)=5, Add (2,6)=15 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=40\",\"Find(1)=1, Find(2)=5, Add (1,2)=17 Succeeded, w=57\",\"Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=85\",\"Find(2)=5, Find(5)=5, Add (2,5)=43 Failed, w=85\",\"Find(0)=0, Find(5)=5, Add (0,5)=50 Succeeded, w=135\",\"Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=135\",\"Find(1)=0, Find(5)=0, Add (1,5)=68 Failed, w=135\",\"Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=135\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=135\",\"Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=135\",\"Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,70],[0,3,17],[0,4,28],[0,5,50],[1,2,17],[1,4,59],[1,5,68],[1,6,68],[2,5,43],[2,6,15],[4,5,88],[4,6,86],[5,6,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=8,(2,6)=15,(0,3)=17,(1,2)=17,(0,4)=28,(2,5)=43,(0,5)=50,(1,4)=59,(1,5)=68,(1,6)=68,(0,2)=70,(4,6)=86,(4,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=40\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(2)=5, Add (1,2)=17 Succeeded, w=57\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=85\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 0, 5: 5, 6: 5}, Find(2)=5, Find(5)=5, Add (2,5)=43 Failed, w=85\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 0, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(5)=5, Add (0,5)=50 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(5)=0, Add (1,5)=68 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=135\",\"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=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=88 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,51],[0,3,19],[1,2,36],[2,3,23]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,19],[1,2,36],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,19],[1,2,36],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,19],[1,2,36],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19, w=19\",\"Add (2,3)=23, w=42\",\"Add (1,2)=36, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,19],[1,2,36],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19 Succeeded, w=19\",\"Add (2,3)=23 Succeeded, w=42\",\"Add (1,2)=36 Succeeded, w=78\",\"Add (0,2)=51 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,19],[1,2,36],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(2,3)=23,(1,2)=36,(0,2)=51]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Find(2)=2, Find(3)=0, Add (2,3)=23 Succeeded, w=42\",\"Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=78\",\"Find(0)=0, Find(2)=0, Add (0,2)=51 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,19],[1,2,36],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(2,3)=23,(1,2)=36,(0,2)=51]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=23 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=51 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,62],[0,3,77],[1,2,90],[1,4,20],[1,6,65],[2,3,53],[2,5,14],[3,5,20],[4,5,11],[4,6,87]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,62],[0,3,77],[1,2,90],[1,4,20],[1,6,65],[2,3,53],[2,5,14],[3,5,20],[4,5,11],[4,6,87]]}",
"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\":[[0,2,62],[0,3,77],[1,2,90],[1,4,20],[1,6,65],[2,3,53],[2,5,14],[3,5,20],[4,5,11],[4,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,2)\",\"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\":[[0,2,62],[0,3,77],[1,2,90],[1,4,20],[1,6,65],[2,3,53],[2,5,14],[3,5,20],[4,5,11],[4,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=11, w=11\",\"Add (2,5)=14, w=25\",\"Add (1,4)=20, w=45\",\"Add (3,5)=20, w=65\",\"Add (0,2)=62, w=127\",\"Add (1,6)=65, 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\":[[0,2,62],[0,3,77],[1,2,90],[1,4,20],[1,6,65],[2,3,53],[2,5,14],[3,5,20],[4,5,11],[4,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=11 Succeeded, w=11\",\"Add (2,5)=14 Succeeded, w=25\",\"Add (1,4)=20 Succeeded, w=45\",\"Add (3,5)=20 Succeeded, w=65\",\"Add (2,3)=53 Failed, w=65\",\"Add (0,2)=62 Succeeded, w=127\",\"Add (1,6)=65 Succeeded, w=192\",\"Add (0,3)=77 Failed, w=192\",\"Add (4,6)=87 Failed, w=192\",\"Add (1,2)=90 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\":[[0,2,62],[0,3,77],[1,2,90],[1,4,20],[1,6,65],[2,3,53],[2,5,14],[3,5,20],[4,5,11],[4,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=11,(2,5)=14,(1,4)=20,(3,5)=20,(2,3)=53,(0,2)=62,(1,6)=65,(0,3)=77,(4,6)=87,(1,2)=90]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=11\",\"Find(2)=2, Find(5)=4, Add (2,5)=14 Succeeded, w=25\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=45\",\"Find(3)=3, Find(5)=4, Add (3,5)=20 Succeeded, w=65\",\"Find(2)=4, Find(3)=4, Add (2,3)=53 Failed, w=65\",\"Find(0)=0, Find(2)=4, Add (0,2)=62 Succeeded, w=127\",\"Find(1)=4, Find(6)=6, Add (1,6)=65 Succeeded, w=192\",\"Find(0)=4, Find(3)=4, Add (0,3)=77 Failed, w=192\",\"Find(4)=4, Find(6)=4, Add (4,6)=87 Failed, w=192\",\"Find(1)=4, Find(2)=4, Add (1,2)=90 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\":[[0,2,62],[0,3,77],[1,2,90],[1,4,20],[1,6,65],[2,3,53],[2,5,14],[3,5,20],[4,5,11],[4,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=11,(2,5)=14,(1,4)=20,(3,5)=20,(2,3)=53,(0,2)=62,(1,6)=65,(0,3)=77,(4,6)=87,(1,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(5)=4, Add (2,5)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=3, Find(5)=4, Add (3,5)=20 Succeeded, w=65\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(2)=4, Find(3)=4, Add (2,3)=53 Failed, w=65\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(2)=4, Add (0,2)=62 Succeeded, w=127\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=6, Add (1,6)=65 Succeeded, w=192\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=77 Failed, w=192\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=87 Failed, w=192\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=90 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,89],[0,2,84],[1,2,15],[1,3,23],[2,3,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,84],[1,2,15],[1,3,23],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,84],[1,2,15],[1,3,23],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,84],[1,2,15],[1,3,23],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15, w=15\",\"Add (1,3)=23, w=38\",\"Add (0,2)=84, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,84],[1,2,15],[1,3,23],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=15 Succeeded, w=15\",\"Add (1,3)=23 Succeeded, w=38\",\"Add (2,3)=83 Failed, w=38\",\"Add (0,2)=84 Succeeded, w=122\",\"Add (0,1)=89 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,84],[1,2,15],[1,3,23],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(1,3)=23,(2,3)=83,(0,2)=84,(0,1)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=38\",\"Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=38\",\"Find(0)=0, Find(2)=1, Add (0,2)=84 Succeeded, w=122\",\"Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,89],[0,2,84],[1,2,15],[1,3,23],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=15,(1,3)=23,(2,3)=83,(0,2)=84,(0,1)=89]\",\"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: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=83 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=84 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,95],[0,2,35],[1,2,53],[1,3,46],[1,4,22],[2,4,81],[3,4,13]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,35],[1,2,53],[1,3,46],[1,4,22],[2,4,81],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,35],[1,2,53],[1,3,46],[1,4,22],[2,4,81],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,35],[1,2,53],[1,3,46],[1,4,22],[2,4,81],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=13, w=13\",\"Add (1,4)=22, w=35\",\"Add (0,2)=35, w=70\",\"Add (1,2)=53, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,2,35],[1,2,53],[1,3,46],[1,4,22],[2,4,81],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=13 Succeeded, w=13\",\"Add (1,4)=22 Succeeded, w=35\",\"Add (0,2)=35 Succeeded, w=70\",\"Add (1,3)=46 Failed, w=70\",\"Add (1,2)=53 Succeeded, w=123\",\"Add (2,4)=81 Failed, w=123\",\"Add (0,1)=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],\"edges\":[[0,1,95],[0,2,35],[1,2,53],[1,3,46],[1,4,22],[2,4,81],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=13,(1,4)=22,(0,2)=35,(1,3)=46,(1,2)=53,(2,4)=81,(0,1)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=13\",\"Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=35\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=70\",\"Find(1)=3, Find(3)=3, Add (1,3)=46 Failed, w=70\",\"Find(1)=3, Find(2)=0, Add (1,2)=53 Succeeded, w=123\",\"Find(2)=3, Find(4)=3, Add (2,4)=81 Failed, w=123\",\"Find(0)=3, Find(1)=3, Add (0,1)=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],\"edges\":[[0,1,95],[0,2,35],[1,2,53],[1,3,46],[1,4,22],[2,4,81],[3,4,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=13,(1,4)=22,(0,2)=35,(1,3)=46,(1,2)=53,(2,4)=81,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=22 Succeeded, w=35\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=70\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=46 Failed, w=70\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3}, Find(1)=3, Find(2)=0, Add (1,2)=53 Succeeded, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=81 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=95 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,88],[0,2,19],[0,3,36],[1,2,86],[1,3,33],[2,3,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,19],[0,3,36],[1,2,86],[1,3,33],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,19],[0,3,36],[1,2,86],[1,3,33],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,19],[0,3,36],[1,2,86],[1,3,33],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (1,3)=33, w=52\",\"Add (0,3)=36, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,19],[0,3,36],[1,2,86],[1,3,33],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (1,3)=33 Succeeded, w=52\",\"Add (0,3)=36 Succeeded, w=88\",\"Add (2,3)=64 Failed, w=88\",\"Add (1,2)=86 Failed, w=88\",\"Add (0,1)=88 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,19],[0,3,36],[1,2,86],[1,3,33],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,3)=33,(0,3)=36,(2,3)=64,(1,2)=86,(0,1)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=52\",\"Find(0)=0, Find(3)=1, Add (0,3)=36 Succeeded, w=88\",\"Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=88\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,19],[0,3,36],[1,2,86],[1,3,33],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,3)=33,(0,3)=36,(2,3)=64,(1,2)=86,(0,1)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=36 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=64 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,12],[0,2,87],[0,3,71],[0,4,71],[1,2,59],[1,3,65],[1,4,86],[2,3,68],[2,4,58],[3,4,24]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,87],[0,3,71],[0,4,71],[1,2,59],[1,3,65],[1,4,86],[2,3,68],[2,4,58],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,87],[0,3,71],[0,4,71],[1,2,59],[1,3,65],[1,4,86],[2,3,68],[2,4,58],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,87],[0,3,71],[0,4,71],[1,2,59],[1,3,65],[1,4,86],[2,3,68],[2,4,58],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (3,4)=24, w=36\",\"Add (2,4)=58, w=94\",\"Add (1,2)=59, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,87],[0,3,71],[0,4,71],[1,2,59],[1,3,65],[1,4,86],[2,3,68],[2,4,58],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (3,4)=24 Succeeded, w=36\",\"Add (2,4)=58 Succeeded, w=94\",\"Add (1,2)=59 Succeeded, w=153\",\"Add (1,3)=65 Failed, w=153\",\"Add (2,3)=68 Failed, w=153\",\"Add (0,3)=71 Failed, w=153\",\"Add (0,4)=71 Failed, w=153\",\"Add (1,4)=86 Failed, w=153\",\"Add (0,2)=87 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,87],[0,3,71],[0,4,71],[1,2,59],[1,3,65],[1,4,86],[2,3,68],[2,4,58],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(3,4)=24,(2,4)=58,(1,2)=59,(1,3)=65,(2,3)=68,(0,3)=71,(0,4)=71,(1,4)=86,(0,2)=87]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=36\",\"Find(2)=2, Find(4)=3, Add (2,4)=58 Succeeded, w=94\",\"Find(1)=0, Find(2)=3, Add (1,2)=59 Succeeded, w=153\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=153\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=153\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=153\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=153\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=153\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,2,87],[0,3,71],[0,4,71],[1,2,59],[1,3,65],[1,4,86],[2,3,68],[2,4,58],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(3,4)=24,(2,4)=58,(1,2)=59,(1,3)=65,(2,3)=68,(0,3)=71,(0,4)=71,(1,4)=86,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=58 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(1)=0, Find(2)=3, Add (1,2)=59 Succeeded, w=153\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=153\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,2,19],[0,3,71],[0,4,12],[1,2,31],[1,3,3],[1,4,7],[2,3,0],[2,4,96],[3,4,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,19],[0,3,71],[0,4,12],[1,2,31],[1,3,3],[1,4,7],[2,3,0],[2,4,96],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":16}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,19],[0,3,71],[0,4,12],[1,2,31],[1,3,3],[1,4,7],[2,3,0],[2,4,96],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":16}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,19],[0,3,71],[0,4,12],[1,2,31],[1,3,3],[1,4,7],[2,3,0],[2,4,96],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,3)=3, w=3\",\"Add (0,1)=6, w=9\",\"Add (1,4)=7, w=16\"],\"Answer\":16}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,19],[0,3,71],[0,4,12],[1,2,31],[1,3,3],[1,4,7],[2,3,0],[2,4,96],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,3)=3 Succeeded, w=3\",\"Add (0,1)=6 Succeeded, w=9\",\"Add (1,4)=7 Succeeded, w=16\",\"Add (0,4)=12 Failed, w=16\",\"Add (0,2)=19 Failed, w=16\",\"Add (1,2)=31 Failed, w=16\",\"Add (0,3)=71 Failed, w=16\",\"Add (3,4)=95 Failed, w=16\",\"Add (2,4)=96 Failed, w=16\"],\"Answer\":16}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,19],[0,3,71],[0,4,12],[1,2,31],[1,3,3],[1,4,7],[2,3,0],[2,4,96],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=3,(0,1)=6,(1,4)=7,(0,4)=12,(0,2)=19,(1,2)=31,(0,3)=71,(3,4)=95,(2,4)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=2, Add (1,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=2, Add (0,1)=6 Succeeded, w=9\",\"Find(1)=2, Find(4)=4, Add (1,4)=7 Succeeded, w=16\",\"Find(0)=2, Find(4)=2, Add (0,4)=12 Failed, w=16\",\"Find(0)=2, Find(2)=2, Add (0,2)=19 Failed, w=16\",\"Find(1)=2, Find(2)=2, Add (1,2)=31 Failed, w=16\",\"Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=16\",\"Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=16\",\"Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=16\"],\"Answer\":16}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,19],[0,3,71],[0,4,12],[1,2,31],[1,3,3],[1,4,7],[2,3,0],[2,4,96],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=3,(0,1)=6,(1,4)=7,(0,4)=12,(0,2)=19,(1,2)=31,(0,3)=71,(3,4)=95,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=2, Add (0,1)=6 Succeeded, w=9\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=4, Add (1,4)=7 Succeeded, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=12 Failed, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=19 Failed, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=31 Failed, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=16\"],\"Answer\":16}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,16],[0,3,99],[1,2,49],[1,3,42]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,99],[1,2,49],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,99],[1,2,49],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,99],[1,2,49],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (1,3)=42, w=58\",\"Add (1,2)=49, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,99],[1,2,49],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (1,3)=42 Succeeded, w=58\",\"Add (1,2)=49 Succeeded, w=107\",\"Add (0,3)=99 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,99],[1,2,49],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,3)=42,(1,2)=49,(0,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=58\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=107\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,3,99],[1,2,49],[1,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,3)=42,(1,2)=49,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,29],[0,2,10],[1,2,96],[1,3,36],[2,3,27]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,10],[1,2,96],[1,3,36],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,10],[1,2,96],[1,3,36],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,10],[1,2,96],[1,3,36],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (2,3)=27, w=37\",\"Add (0,1)=29, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,10],[1,2,96],[1,3,36],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (2,3)=27 Succeeded, w=37\",\"Add (0,1)=29 Succeeded, w=66\",\"Add (1,3)=36 Failed, w=66\",\"Add (1,2)=96 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,10],[1,2,96],[1,3,36],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(2,3)=27,(0,1)=29,(1,3)=36,(1,2)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(2)=0, Find(3)=3, Add (2,3)=27 Succeeded, w=37\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=66\",\"Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=66\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,10],[1,2,96],[1,3,36],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(2,3)=27,(0,1)=29,(1,3)=36,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=27 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,44],[0,3,75],[0,4,68],[1,2,25],[1,4,40],[2,4,80]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,3,75],[0,4,68],[1,2,25],[1,4,40],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,3,75],[0,4,68],[1,2,25],[1,4,40],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,3,75],[0,4,68],[1,2,25],[1,4,40],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=25, w=25\",\"Add (1,4)=40, w=65\",\"Add (0,2)=44, w=109\",\"Add (0,3)=75, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,3,75],[0,4,68],[1,2,25],[1,4,40],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=25 Succeeded, w=25\",\"Add (1,4)=40 Succeeded, w=65\",\"Add (0,2)=44 Succeeded, w=109\",\"Add (0,4)=68 Failed, w=109\",\"Add (0,3)=75 Succeeded, w=184\",\"Add (2,4)=80 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,3,75],[0,4,68],[1,2,25],[1,4,40],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=25,(1,4)=40,(0,2)=44,(0,4)=68,(0,3)=75,(2,4)=80]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=25\",\"Find(1)=1, Find(4)=4, Add (1,4)=40 Succeeded, w=65\",\"Find(0)=0, Find(2)=1, Add (0,2)=44 Succeeded, w=109\",\"Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=109\",\"Find(0)=1, Find(3)=3, Add (0,3)=75 Succeeded, w=184\",\"Find(2)=1, Find(4)=1, Add (2,4)=80 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,44],[0,3,75],[0,4,68],[1,2,25],[1,4,40],[2,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=25,(1,4)=40,(0,2)=44,(0,4)=68,(0,3)=75,(2,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=40 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=44 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=75 Succeeded, w=184\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=80 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,98],[0,2,84],[0,3,31],[0,4,60],[1,2,61],[1,3,42],[1,4,62],[2,3,95],[2,4,59],[3,4,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,84],[0,3,31],[0,4,60],[1,2,61],[1,3,42],[1,4,62],[2,3,95],[2,4,59],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,84],[0,3,31],[0,4,60],[1,2,61],[1,3,42],[1,4,62],[2,3,95],[2,4,59],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,84],[0,3,31],[0,4,60],[1,2,61],[1,3,42],[1,4,62],[2,3,95],[2,4,59],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=31, w=31\",\"Add (3,4)=41, w=72\",\"Add (1,3)=42, w=114\",\"Add (2,4)=59, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,84],[0,3,31],[0,4,60],[1,2,61],[1,3,42],[1,4,62],[2,3,95],[2,4,59],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=31 Succeeded, w=31\",\"Add (3,4)=41 Succeeded, w=72\",\"Add (1,3)=42 Succeeded, w=114\",\"Add (2,4)=59 Succeeded, w=173\",\"Add (0,4)=60 Failed, w=173\",\"Add (1,2)=61 Failed, w=173\",\"Add (1,4)=62 Failed, w=173\",\"Add (0,2)=84 Failed, w=173\",\"Add (2,3)=95 Failed, w=173\",\"Add (0,1)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,84],[0,3,31],[0,4,60],[1,2,61],[1,3,42],[1,4,62],[2,3,95],[2,4,59],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=31,(3,4)=41,(1,3)=42,(2,4)=59,(0,4)=60,(1,2)=61,(1,4)=62,(0,2)=84,(2,3)=95,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=31\",\"Find(3)=0, Find(4)=4, Add (3,4)=41 Succeeded, w=72\",\"Find(1)=1, Find(3)=0, Add (1,3)=42 Succeeded, w=114\",\"Find(2)=2, Find(4)=0, Add (2,4)=59 Succeeded, w=173\",\"Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=173\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=173\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=173\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=173\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=173\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,84],[0,3,31],[0,4,60],[1,2,61],[1,3,42],[1,4,62],[2,3,95],[2,4,59],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=31,(3,4)=41,(1,3)=42,(2,4)=59,(0,4)=60,(1,2)=61,(1,4)=62,(0,2)=84,(2,3)=95,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=41 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=42 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=59 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,88],[0,2,72],[0,3,82],[0,4,43],[1,2,86],[1,3,42],[1,4,100],[2,3,33],[2,4,70],[3,4,1]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,72],[0,3,82],[0,4,43],[1,2,86],[1,3,42],[1,4,100],[2,3,33],[2,4,70],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,72],[0,3,82],[0,4,43],[1,2,86],[1,3,42],[1,4,100],[2,3,33],[2,4,70],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,72],[0,3,82],[0,4,43],[1,2,86],[1,3,42],[1,4,100],[2,3,33],[2,4,70],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (2,3)=33, w=34\",\"Add (1,3)=42, w=76\",\"Add (0,4)=43, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,72],[0,3,82],[0,4,43],[1,2,86],[1,3,42],[1,4,100],[2,3,33],[2,4,70],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (2,3)=33 Succeeded, w=34\",\"Add (1,3)=42 Succeeded, w=76\",\"Add (0,4)=43 Succeeded, w=119\",\"Add (2,4)=70 Failed, w=119\",\"Add (0,2)=72 Failed, w=119\",\"Add (0,3)=82 Failed, w=119\",\"Add (1,2)=86 Failed, w=119\",\"Add (0,1)=88 Failed, w=119\",\"Add (1,4)=100 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,72],[0,3,82],[0,4,43],[1,2,86],[1,3,42],[1,4,100],[2,3,33],[2,4,70],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(2,3)=33,(1,3)=42,(0,4)=43,(2,4)=70,(0,2)=72,(0,3)=82,(1,2)=86,(0,1)=88,(1,4)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=34\",\"Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=76\",\"Find(0)=0, Find(4)=3, Add (0,4)=43 Succeeded, w=119\",\"Find(2)=3, Find(4)=3, Add (2,4)=70 Failed, w=119\",\"Find(0)=3, Find(2)=3, Add (0,2)=72 Failed, w=119\",\"Find(0)=3, Find(3)=3, Add (0,3)=82 Failed, w=119\",\"Find(1)=3, Find(2)=3, Add (1,2)=86 Failed, w=119\",\"Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=119\",\"Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,72],[0,3,82],[0,4,43],[1,2,86],[1,3,42],[1,4,100],[2,3,33],[2,4,70],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(2,3)=33,(1,3)=42,(0,4)=43,(2,4)=70,(0,2)=72,(0,3)=82,(1,2)=86,(0,1)=88,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=34\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=43 Succeeded, w=119\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=70 Failed, w=119\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=72 Failed, w=119\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=82 Failed, w=119\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=86 Failed, w=119\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=119\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,75],[0,3,42],[1,3,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,3,42],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,3,42],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,3,42],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=42, w=42\",\"Add (1,3)=72, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,3,42],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=42 Succeeded, w=42\",\"Add (1,3)=72 Succeeded, w=114\",\"Add (0,1)=75 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,3,42],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=42,(1,3)=72,(0,1)=75]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=42\",\"Find(1)=1, Find(3)=0, Add (1,3)=72 Succeeded, w=114\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,75],[0,3,42],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=42,(1,3)=72,(0,1)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=72 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,80],[0,2,100],[0,3,72],[1,2,7],[1,3,37],[2,3,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,100],[0,3,72],[1,2,7],[1,3,37],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,100],[0,3,72],[1,2,7],[1,3,37],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,100],[0,3,72],[1,2,7],[1,3,37],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7, w=7\",\"Add (1,3)=37, w=44\",\"Add (0,3)=72, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,100],[0,3,72],[1,2,7],[1,3,37],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7 Succeeded, w=7\",\"Add (1,3)=37 Succeeded, w=44\",\"Add (0,3)=72 Succeeded, w=116\",\"Add (0,1)=80 Failed, w=116\",\"Add (2,3)=96 Failed, w=116\",\"Add (0,2)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,100],[0,3,72],[1,2,7],[1,3,37],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(1,3)=37,(0,3)=72,(0,1)=80,(2,3)=96,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=44\",\"Find(0)=0, Find(3)=1, Add (0,3)=72 Succeeded, w=116\",\"Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=116\",\"Find(2)=1, Find(3)=1, Add (2,3)=96 Failed, w=116\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,100],[0,3,72],[1,2,7],[1,3,37],[2,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(1,3)=37,(0,3)=72,(0,1)=80,(2,3)=96,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=72 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=96 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,87],[0,3,87],[0,4,95],[1,3,21],[1,4,36],[2,4,61],[3,4,92]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,87],[0,3,87],[0,4,95],[1,3,21],[1,4,36],[2,4,61],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,87],[0,3,87],[0,4,95],[1,3,21],[1,4,36],[2,4,61],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,87],[0,3,87],[0,4,95],[1,3,21],[1,4,36],[2,4,61],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21, w=21\",\"Add (1,4)=36, w=57\",\"Add (0,1)=37, w=94\",\"Add (2,4)=61, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,87],[0,3,87],[0,4,95],[1,3,21],[1,4,36],[2,4,61],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=21 Succeeded, w=21\",\"Add (1,4)=36 Succeeded, w=57\",\"Add (0,1)=37 Succeeded, w=94\",\"Add (2,4)=61 Succeeded, w=155\",\"Add (0,2)=87 Failed, w=155\",\"Add (0,3)=87 Failed, w=155\",\"Add (3,4)=92 Failed, w=155\",\"Add (0,4)=95 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,87],[0,3,87],[0,4,95],[1,3,21],[1,4,36],[2,4,61],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(1,4)=36,(0,1)=37,(2,4)=61,(0,2)=87,(0,3)=87,(3,4)=92,(0,4)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=57\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=94\",\"Find(2)=2, Find(4)=1, Add (2,4)=61 Succeeded, w=155\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=155\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=155\",\"Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=155\",\"Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,87],[0,3,87],[0,4,95],[1,3,21],[1,4,36],[2,4,61],[3,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=21,(1,4)=36,(0,1)=37,(2,4)=61,(0,2)=87,(0,3)=87,(3,4)=92,(0,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=61 Succeeded, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=92 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,8],[1,3,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (1,3)=41, w=49\"],\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (1,3)=41 Succeeded, w=49\"],\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(1,3)=41]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=49\"],\"Answer\":49}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(1,3)=41]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=49\"],\"Answer\":49}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,12],[0,3,86],[0,4,40],[1,2,73],[1,3,85],[1,4,76],[2,3,42],[2,4,1]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,86],[0,4,40],[1,2,73],[1,3,85],[1,4,76],[2,3,42],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,86],[0,4,40],[1,2,73],[1,3,85],[1,4,76],[2,3,42],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,86],[0,4,40],[1,2,73],[1,3,85],[1,4,76],[2,3,42],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (0,1)=12, w=13\",\"Add (0,4)=40, w=53\",\"Add (2,3)=42, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,86],[0,4,40],[1,2,73],[1,3,85],[1,4,76],[2,3,42],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,1)=12 Succeeded, w=13\",\"Add (0,4)=40 Succeeded, w=53\",\"Add (2,3)=42 Succeeded, w=95\",\"Add (1,2)=73 Failed, w=95\",\"Add (1,4)=76 Failed, w=95\",\"Add (1,3)=85 Failed, w=95\",\"Add (0,3)=86 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,86],[0,4,40],[1,2,73],[1,3,85],[1,4,76],[2,3,42],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,1)=12,(0,4)=40,(2,3)=42,(1,2)=73,(1,4)=76,(1,3)=85,(0,3)=86]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=13\",\"Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=53\",\"Find(2)=0, Find(3)=3, Add (2,3)=42 Succeeded, w=95\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=95\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=95\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=95\",\"Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,12],[0,3,86],[0,4,40],[1,2,73],[1,3,85],[1,4,76],[2,3,42],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(0,1)=12,(0,4)=40,(2,3)=42,(1,2)=73,(1,4)=76,(1,3)=85,(0,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=3, Add (2,3)=42 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,51],[0,2,34],[0,3,6],[0,4,96],[0,5,24],[0,6,54],[0,7,26],[1,2,99],[1,3,22],[1,4,15],[1,5,32],[1,7,80],[2,3,64],[2,5,62],[2,6,98],[3,4,73],[3,6,81],[4,5,85],[4,6,10],[4,7,67],[6,7,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,34],[0,3,6],[0,4,96],[0,5,24],[0,6,54],[0,7,26],[1,2,99],[1,3,22],[1,4,15],[1,5,32],[1,7,80],[2,3,64],[2,5,62],[2,6,98],[3,4,73],[3,6,81],[4,5,85],[4,6,10],[4,7,67],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,34],[0,3,6],[0,4,96],[0,5,24],[0,6,54],[0,7,26],[1,2,99],[1,3,22],[1,4,15],[1,5,32],[1,7,80],[2,3,64],[2,5,62],[2,6,98],[3,4,73],[3,6,81],[4,5,85],[4,6,10],[4,7,67],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,6)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (0,7)\",\"Add (0,2)\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,34],[0,3,6],[0,4,96],[0,5,24],[0,6,54],[0,7,26],[1,2,99],[1,3,22],[1,4,15],[1,5,32],[1,7,80],[2,3,64],[2,5,62],[2,6,98],[3,4,73],[3,6,81],[4,5,85],[4,6,10],[4,7,67],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (4,6)=10, w=16\",\"Add (1,4)=15, w=31\",\"Add (1,3)=22, w=53\",\"Add (0,5)=24, w=77\",\"Add (0,7)=26, w=103\",\"Add (0,2)=34, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,34],[0,3,6],[0,4,96],[0,5,24],[0,6,54],[0,7,26],[1,2,99],[1,3,22],[1,4,15],[1,5,32],[1,7,80],[2,3,64],[2,5,62],[2,6,98],[3,4,73],[3,6,81],[4,5,85],[4,6,10],[4,7,67],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (4,6)=10 Succeeded, w=16\",\"Add (1,4)=15 Succeeded, w=31\",\"Add (1,3)=22 Succeeded, w=53\",\"Add (0,5)=24 Succeeded, w=77\",\"Add (0,7)=26 Succeeded, w=103\",\"Add (1,5)=32 Failed, w=103\",\"Add (0,2)=34 Succeeded, w=137\",\"Add (6,7)=48 Failed, w=137\",\"Add (0,1)=51 Failed, w=137\",\"Add (0,6)=54 Failed, w=137\",\"Add (2,5)=62 Failed, w=137\",\"Add (2,3)=64 Failed, w=137\",\"Add (4,7)=67 Failed, w=137\",\"Add (3,4)=73 Failed, w=137\",\"Add (1,7)=80 Failed, w=137\",\"Add (3,6)=81 Failed, w=137\",\"Add (4,5)=85 Failed, w=137\",\"Add (0,4)=96 Failed, w=137\",\"Add (2,6)=98 Failed, w=137\",\"Add (1,2)=99 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,34],[0,3,6],[0,4,96],[0,5,24],[0,6,54],[0,7,26],[1,2,99],[1,3,22],[1,4,15],[1,5,32],[1,7,80],[2,3,64],[2,5,62],[2,6,98],[3,4,73],[3,6,81],[4,5,85],[4,6,10],[4,7,67],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(4,6)=10,(1,4)=15,(1,3)=22,(0,5)=24,(0,7)=26,(1,5)=32,(0,2)=34,(6,7)=48,(0,1)=51,(0,6)=54,(2,5)=62,(2,3)=64,(4,7)=67,(3,4)=73,(1,7)=80,(3,6)=81,(4,5)=85,(0,4)=96,(2,6)=98,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(4)=4, Find(6)=6, Add (4,6)=10 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=31\",\"Find(1)=4, Find(3)=0, Add (1,3)=22 Succeeded, w=53\",\"Find(0)=4, Find(5)=5, Add (0,5)=24 Succeeded, w=77\",\"Find(0)=4, Find(7)=7, Add (0,7)=26 Succeeded, w=103\",\"Find(1)=4, Find(5)=4, Add (1,5)=32 Failed, w=103\",\"Find(0)=4, Find(2)=2, Add (0,2)=34 Succeeded, w=137\",\"Find(6)=4, Find(7)=4, Add (6,7)=48 Failed, w=137\",\"Find(0)=4, Find(1)=4, Add (0,1)=51 Failed, w=137\",\"Find(0)=4, Find(6)=4, Add (0,6)=54 Failed, w=137\",\"Find(2)=4, Find(5)=4, Add (2,5)=62 Failed, w=137\",\"Find(2)=4, Find(3)=4, Add (2,3)=64 Failed, w=137\",\"Find(4)=4, Find(7)=4, Add (4,7)=67 Failed, w=137\",\"Find(3)=4, Find(4)=4, Add (3,4)=73 Failed, w=137\",\"Find(1)=4, Find(7)=4, Add (1,7)=80 Failed, w=137\",\"Find(3)=4, Find(6)=4, Add (3,6)=81 Failed, w=137\",\"Find(4)=4, Find(5)=4, Add (4,5)=85 Failed, w=137\",\"Find(0)=4, Find(4)=4, Add (0,4)=96 Failed, w=137\",\"Find(2)=4, Find(6)=4, Add (2,6)=98 Failed, w=137\",\"Find(1)=4, Find(2)=4, Add (1,2)=99 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,34],[0,3,6],[0,4,96],[0,5,24],[0,6,54],[0,7,26],[1,2,99],[1,3,22],[1,4,15],[1,5,32],[1,7,80],[2,3,64],[2,5,62],[2,6,98],[3,4,73],[3,6,81],[4,5,85],[4,6,10],[4,7,67],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(4,6)=10,(1,4)=15,(1,3)=22,(0,5)=24,(0,7)=26,(1,5)=32,(0,2)=34,(6,7)=48,(0,1)=51,(0,6)=54,(2,5)=62,(2,3)=64,(4,7)=67,(3,4)=73,(1,7)=80,(3,6)=81,(4,5)=85,(0,4)=96,(2,6)=98,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=31\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=4, Find(3)=0, Add (1,3)=22 Succeeded, w=53\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=4, Find(5)=5, Add (0,5)=24 Succeeded, w=77\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=7, Add (0,7)=26 Succeeded, w=103\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=32 Failed, w=103\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=2, Add (0,2)=34 Succeeded, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=48 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=51 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=54 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=62 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=64 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=67 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=73 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=80 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=81 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(5)=4, Add (4,5)=85 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=96 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=98 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=99 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,88],[0,2,32],[0,3,11],[0,4,78],[0,5,0],[0,6,83],[0,7,50],[1,2,6],[1,3,66],[1,4,16],[1,5,65],[1,6,43],[1,7,43],[2,3,22],[2,4,95],[2,5,13],[2,6,6],[2,7,91],[3,4,24],[3,5,48],[3,6,43],[3,7,98],[4,6,39],[4,7,91],[5,6,22],[5,7,87],[6,7,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,32],[0,3,11],[0,4,78],[0,5,0],[0,6,83],[0,7,50],[1,2,6],[1,3,66],[1,4,16],[1,5,65],[1,6,43],[1,7,43],[2,3,22],[2,4,95],[2,5,13],[2,6,6],[2,7,91],[3,4,24],[3,5,48],[3,6,43],[3,7,98],[4,6,39],[4,7,91],[5,6,22],[5,7,87],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,32],[0,3,11],[0,4,78],[0,5,0],[0,6,83],[0,7,50],[1,2,6],[1,3,66],[1,4,16],[1,5,65],[1,6,43],[1,7,43],[2,3,22],[2,4,95],[2,5,13],[2,6,6],[2,7,91],[3,4,24],[3,5,48],[3,6,43],[3,7,98],[4,6,39],[4,7,91],[5,6,22],[5,7,87],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,2)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (1,7)\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,32],[0,3,11],[0,4,78],[0,5,0],[0,6,83],[0,7,50],[1,2,6],[1,3,66],[1,4,16],[1,5,65],[1,6,43],[1,7,43],[2,3,22],[2,4,95],[2,5,13],[2,6,6],[2,7,91],[3,4,24],[3,5,48],[3,6,43],[3,7,98],[4,6,39],[4,7,91],[5,6,22],[5,7,87],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (1,2)=6, w=6\",\"Add (2,6)=6, w=12\",\"Add (0,3)=11, w=23\",\"Add (2,5)=13, w=36\",\"Add (1,4)=16, w=52\",\"Add (1,7)=43, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,32],[0,3,11],[0,4,78],[0,5,0],[0,6,83],[0,7,50],[1,2,6],[1,3,66],[1,4,16],[1,5,65],[1,6,43],[1,7,43],[2,3,22],[2,4,95],[2,5,13],[2,6,6],[2,7,91],[3,4,24],[3,5,48],[3,6,43],[3,7,98],[4,6,39],[4,7,91],[5,6,22],[5,7,87],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (1,2)=6 Succeeded, w=6\",\"Add (2,6)=6 Succeeded, w=12\",\"Add (0,3)=11 Succeeded, w=23\",\"Add (2,5)=13 Succeeded, w=36\",\"Add (1,4)=16 Succeeded, w=52\",\"Add (2,3)=22 Failed, w=52\",\"Add (5,6)=22 Failed, w=52\",\"Add (3,4)=24 Failed, w=52\",\"Add (0,2)=32 Failed, w=52\",\"Add (4,6)=39 Failed, w=52\",\"Add (1,6)=43 Failed, w=52\",\"Add (1,7)=43 Succeeded, w=95\",\"Add (3,6)=43 Failed, w=95\",\"Add (3,5)=48 Failed, w=95\",\"Add (0,7)=50 Failed, w=95\",\"Add (1,5)=65 Failed, w=95\",\"Add (1,3)=66 Failed, w=95\",\"Add (0,4)=78 Failed, w=95\",\"Add (0,6)=83 Failed, w=95\",\"Add (5,7)=87 Failed, w=95\",\"Add (0,1)=88 Failed, w=95\",\"Add (6,7)=89 Failed, w=95\",\"Add (2,7)=91 Failed, w=95\",\"Add (4,7)=91 Failed, w=95\",\"Add (2,4)=95 Failed, w=95\",\"Add (3,7)=98 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,32],[0,3,11],[0,4,78],[0,5,0],[0,6,83],[0,7,50],[1,2,6],[1,3,66],[1,4,16],[1,5,65],[1,6,43],[1,7,43],[2,3,22],[2,4,95],[2,5,13],[2,6,6],[2,7,91],[3,4,24],[3,5,48],[3,6,43],[3,7,98],[4,6,39],[4,7,91],[5,6,22],[5,7,87],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,2)=6,(2,6)=6,(0,3)=11,(2,5)=13,(1,4)=16,(2,3)=22,(5,6)=22,(3,4)=24,(0,2)=32,(4,6)=39,(1,6)=43,(1,7)=43,(3,6)=43,(3,5)=48,(0,7)=50,(1,5)=65,(1,3)=66,(0,4)=78,(0,6)=83,(5,7)=87,(0,1)=88,(6,7)=89,(2,7)=91,(4,7)=91,(2,4)=95,(3,7)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(2)=1, Find(6)=6, Add (2,6)=6 Succeeded, w=12\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=23\",\"Find(2)=1, Find(5)=0, Add (2,5)=13 Succeeded, w=36\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=52\",\"Find(2)=1, Find(3)=1, Add (2,3)=22 Failed, w=52\",\"Find(5)=1, Find(6)=1, Add (5,6)=22 Failed, w=52\",\"Find(3)=1, Find(4)=1, Add (3,4)=24 Failed, w=52\",\"Find(0)=1, Find(2)=1, Add (0,2)=32 Failed, w=52\",\"Find(4)=1, Find(6)=1, Add (4,6)=39 Failed, w=52\",\"Find(1)=1, Find(6)=1, Add (1,6)=43 Failed, w=52\",\"Find(1)=1, Find(7)=7, Add (1,7)=43 Succeeded, w=95\",\"Find(3)=1, Find(6)=1, Add (3,6)=43 Failed, w=95\",\"Find(3)=1, Find(5)=1, Add (3,5)=48 Failed, w=95\",\"Find(0)=1, Find(7)=1, Add (0,7)=50 Failed, w=95\",\"Find(1)=1, Find(5)=1, Add (1,5)=65 Failed, w=95\",\"Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=95\",\"Find(0)=1, Find(4)=1, Add (0,4)=78 Failed, w=95\",\"Find(0)=1, Find(6)=1, Add (0,6)=83 Failed, w=95\",\"Find(5)=1, Find(7)=1, Add (5,7)=87 Failed, w=95\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=95\",\"Find(6)=1, Find(7)=1, Add (6,7)=89 Failed, w=95\",\"Find(2)=1, Find(7)=1, Add (2,7)=91 Failed, w=95\",\"Find(4)=1, Find(7)=1, Add (4,7)=91 Failed, w=95\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=95\",\"Find(3)=1, Find(7)=1, Add (3,7)=98 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,32],[0,3,11],[0,4,78],[0,5,0],[0,6,83],[0,7,50],[1,2,6],[1,3,66],[1,4,16],[1,5,65],[1,6,43],[1,7,43],[2,3,22],[2,4,95],[2,5,13],[2,6,6],[2,7,91],[3,4,24],[3,5,48],[3,6,43],[3,7,98],[4,6,39],[4,7,91],[5,6,22],[5,7,87],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,2)=6,(2,6)=6,(0,3)=11,(2,5)=13,(1,4)=16,(2,3)=22,(5,6)=22,(3,4)=24,(0,2)=32,(4,6)=39,(1,6)=43,(1,7)=43,(3,6)=43,(3,5)=48,(0,7)=50,(1,5)=65,(1,3)=66,(0,4)=78,(0,6)=83,(5,7)=87,(0,1)=88,(6,7)=89,(2,7)=91,(4,7)=91,(2,4)=95,(3,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 1, 7: 7}, Find(2)=1, Find(6)=6, Add (2,6)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 0, 6: 1, 7: 7}, Find(2)=1, Find(5)=0, Add (2,5)=13 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 1, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 7}, Find(2)=1, Find(3)=1, Add (2,3)=22 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(5)=1, Find(6)=1, Add (5,6)=22 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(4)=1, Add (3,4)=24 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(2)=1, Add (0,2)=32 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(6)=1, Add (4,6)=39 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(6)=1, Add (1,6)=43 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=43 Succeeded, w=95\",\"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)=43 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=48 Failed, w=95\",\"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)=50 Failed, w=95\",\"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)=65 Failed, w=95\",\"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)=66 Failed, w=95\",\"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)=78 Failed, w=95\",\"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)=83 Failed, w=95\",\"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)=87 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=89 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=91 Failed, w=95\",\"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)=91 Failed, w=95\",\"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)=95 Failed, w=95\",\"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)=98 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,5],[1,2,31],[1,3,44],[2,3,52]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[1,2,31],[1,3,44],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[1,2,31],[1,3,44],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[1,2,31],[1,3,44],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,2)=31, w=36\",\"Add (1,3)=44, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[1,2,31],[1,3,44],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,2)=31 Succeeded, w=36\",\"Add (1,3)=44 Succeeded, w=80\",\"Add (2,3)=52 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[1,2,31],[1,3,44],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,2)=31,(1,3)=44,(2,3)=52]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=36\",\"Find(1)=0, Find(3)=3, Add (1,3)=44 Succeeded, w=80\",\"Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,5],[1,2,31],[1,3,44],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,2)=31,(1,3)=44,(2,3)=52]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=44 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,69],[0,2,69],[0,3,83],[0,4,10],[0,5,4],[0,7,99],[1,2,5],[1,3,51],[1,4,33],[1,5,95],[1,6,59],[1,7,92],[2,3,33],[2,5,66],[2,6,27],[2,7,54],[3,4,18],[3,5,30],[3,6,67],[3,7,71],[4,5,100],[4,6,49],[5,6,22],[5,7,51]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,69],[0,3,83],[0,4,10],[0,5,4],[0,7,99],[1,2,5],[1,3,51],[1,4,33],[1,5,95],[1,6,59],[1,7,92],[2,3,33],[2,5,66],[2,6,27],[2,7,54],[3,4,18],[3,5,30],[3,6,67],[3,7,71],[4,5,100],[4,6,49],[5,6,22],[5,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,69],[0,3,83],[0,4,10],[0,5,4],[0,7,99],[1,2,5],[1,3,51],[1,4,33],[1,5,95],[1,6,59],[1,7,92],[2,3,33],[2,5,66],[2,6,27],[2,7,54],[3,4,18],[3,5,30],[3,6,67],[3,7,71],[4,5,100],[4,6,49],[5,6,22],[5,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (2,6)\",\"Add (5,7)\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,69],[0,3,83],[0,4,10],[0,5,4],[0,7,99],[1,2,5],[1,3,51],[1,4,33],[1,5,95],[1,6,59],[1,7,92],[2,3,33],[2,5,66],[2,6,27],[2,7,54],[3,4,18],[3,5,30],[3,6,67],[3,7,71],[4,5,100],[4,6,49],[5,6,22],[5,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4, w=4\",\"Add (1,2)=5, w=9\",\"Add (0,4)=10, w=19\",\"Add (3,4)=18, w=37\",\"Add (5,6)=22, w=59\",\"Add (2,6)=27, w=86\",\"Add (5,7)=51, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,69],[0,3,83],[0,4,10],[0,5,4],[0,7,99],[1,2,5],[1,3,51],[1,4,33],[1,5,95],[1,6,59],[1,7,92],[2,3,33],[2,5,66],[2,6,27],[2,7,54],[3,4,18],[3,5,30],[3,6,67],[3,7,71],[4,5,100],[4,6,49],[5,6,22],[5,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4 Succeeded, w=4\",\"Add (1,2)=5 Succeeded, w=9\",\"Add (0,4)=10 Succeeded, w=19\",\"Add (3,4)=18 Succeeded, w=37\",\"Add (5,6)=22 Succeeded, w=59\",\"Add (2,6)=27 Succeeded, w=86\",\"Add (3,5)=30 Failed, w=86\",\"Add (1,4)=33 Failed, w=86\",\"Add (2,3)=33 Failed, w=86\",\"Add (4,6)=49 Failed, w=86\",\"Add (1,3)=51 Failed, w=86\",\"Add (5,7)=51 Succeeded, w=137\",\"Add (2,7)=54 Failed, w=137\",\"Add (1,6)=59 Failed, w=137\",\"Add (2,5)=66 Failed, w=137\",\"Add (3,6)=67 Failed, w=137\",\"Add (0,1)=69 Failed, w=137\",\"Add (0,2)=69 Failed, w=137\",\"Add (3,7)=71 Failed, w=137\",\"Add (0,3)=83 Failed, w=137\",\"Add (1,7)=92 Failed, w=137\",\"Add (1,5)=95 Failed, w=137\",\"Add (0,7)=99 Failed, w=137\",\"Add (4,5)=100 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,69],[0,3,83],[0,4,10],[0,5,4],[0,7,99],[1,2,5],[1,3,51],[1,4,33],[1,5,95],[1,6,59],[1,7,92],[2,3,33],[2,5,66],[2,6,27],[2,7,54],[3,4,18],[3,5,30],[3,6,67],[3,7,71],[4,5,100],[4,6,49],[5,6,22],[5,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(1,2)=5,(0,4)=10,(3,4)=18,(5,6)=22,(2,6)=27,(3,5)=30,(1,4)=33,(2,3)=33,(4,6)=49,(1,3)=51,(5,7)=51,(2,7)=54,(1,6)=59,(2,5)=66,(3,6)=67,(0,1)=69,(0,2)=69,(3,7)=71,(0,3)=83,(1,7)=92,(1,5)=95,(0,7)=99,(4,5)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=19\",\"Find(3)=3, Find(4)=0, Add (3,4)=18 Succeeded, w=37\",\"Find(5)=0, Find(6)=6, Add (5,6)=22 Succeeded, w=59\",\"Find(2)=1, Find(6)=0, Add (2,6)=27 Succeeded, w=86\",\"Find(3)=1, Find(5)=1, Add (3,5)=30 Failed, w=86\",\"Find(1)=1, Find(4)=1, Add (1,4)=33 Failed, w=86\",\"Find(2)=1, Find(3)=1, Add (2,3)=33 Failed, w=86\",\"Find(4)=1, Find(6)=1, Add (4,6)=49 Failed, w=86\",\"Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=86\",\"Find(5)=1, Find(7)=7, Add (5,7)=51 Succeeded, w=137\",\"Find(2)=1, Find(7)=1, Add (2,7)=54 Failed, w=137\",\"Find(1)=1, Find(6)=1, Add (1,6)=59 Failed, w=137\",\"Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=137\",\"Find(3)=1, Find(6)=1, Add (3,6)=67 Failed, w=137\",\"Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=137\",\"Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=137\",\"Find(3)=1, Find(7)=1, Add (3,7)=71 Failed, w=137\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=137\",\"Find(1)=1, Find(7)=1, Add (1,7)=92 Failed, w=137\",\"Find(1)=1, Find(5)=1, Add (1,5)=95 Failed, w=137\",\"Find(0)=1, Find(7)=1, Add (0,7)=99 Failed, w=137\",\"Find(4)=1, Find(5)=1, Add (4,5)=100 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,69],[0,3,83],[0,4,10],[0,5,4],[0,7,99],[1,2,5],[1,3,51],[1,4,33],[1,5,95],[1,6,59],[1,7,92],[2,3,33],[2,5,66],[2,6,27],[2,7,54],[3,4,18],[3,5,30],[3,6,67],[3,7,71],[4,5,100],[4,6,49],[5,6,22],[5,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(1,2)=5,(0,4)=10,(3,4)=18,(5,6)=22,(2,6)=27,(3,5)=30,(1,4)=33,(2,3)=33,(4,6)=49,(1,3)=51,(5,7)=51,(2,7)=54,(1,6)=59,(2,5)=66,(3,6)=67,(0,1)=69,(0,2)=69,(3,7)=71,(0,3)=83,(1,7)=92,(1,5)=95,(0,7)=99,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(3)=3, Find(4)=0, Add (3,4)=18 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(5)=0, Find(6)=6, Add (5,6)=22 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=1, Find(6)=0, Add (2,6)=27 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 0, 7: 7}, Find(3)=1, Find(5)=1, Add (3,5)=30 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(4)=1, Add (1,4)=33 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0, 7: 7}, Find(2)=1, Find(3)=1, Add (2,3)=33 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(6)=1, Add (4,6)=49 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=51 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=54 Failed, w=137\",\"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)=59 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=137\",\"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)=67 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=137\",\"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)=69 Failed, w=137\",\"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)=71 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=92 Failed, w=137\",\"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)=95 Failed, w=137\",\"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)=99 Failed, w=137\",\"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)=100 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,36],[1,2,78],[1,3,98],[2,3,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,78],[1,3,98],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,78],[1,3,98],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,78],[1,3,98],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=36, w=36\",\"Add (1,2)=78, w=114\",\"Add (2,3)=89, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,78],[1,3,98],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=36 Succeeded, w=36\",\"Add (1,2)=78 Succeeded, w=114\",\"Add (2,3)=89 Succeeded, w=203\",\"Add (1,3)=98 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,78],[1,3,98],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=36,(1,2)=78,(2,3)=89,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=36\",\"Find(1)=1, Find(2)=2, Add (1,2)=78 Succeeded, w=114\",\"Find(2)=1, Find(3)=0, Add (2,3)=89 Succeeded, w=203\",\"Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,36],[1,2,78],[1,3,98],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=36,(1,2)=78,(2,3)=89,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=78 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=89 Succeeded, w=203\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,71],[0,2,71],[0,4,90],[1,2,73],[1,3,88],[1,4,36],[2,3,48],[2,4,35],[3,4,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,71],[0,4,90],[1,2,73],[1,3,88],[1,4,36],[2,3,48],[2,4,35],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,71],[0,4,90],[1,2,73],[1,3,88],[1,4,36],[2,3,48],[2,4,35],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,71],[0,4,90],[1,2,73],[1,3,88],[1,4,36],[2,3,48],[2,4,35],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=35, w=35\",\"Add (1,4)=36, w=71\",\"Add (2,3)=48, w=119\",\"Add (0,1)=71, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,71],[0,4,90],[1,2,73],[1,3,88],[1,4,36],[2,3,48],[2,4,35],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=35 Succeeded, w=35\",\"Add (1,4)=36 Succeeded, w=71\",\"Add (2,3)=48 Succeeded, w=119\",\"Add (0,1)=71 Succeeded, w=190\",\"Add (0,2)=71 Failed, w=190\",\"Add (1,2)=73 Failed, w=190\",\"Add (1,3)=88 Failed, w=190\",\"Add (3,4)=88 Failed, w=190\",\"Add (0,4)=90 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,71],[0,4,90],[1,2,73],[1,3,88],[1,4,36],[2,3,48],[2,4,35],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=35,(1,4)=36,(2,3)=48,(0,1)=71,(0,2)=71,(1,2)=73,(1,3)=88,(3,4)=88,(0,4)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=35\",\"Find(1)=1, Find(4)=2, Add (1,4)=36 Succeeded, w=71\",\"Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=119\",\"Find(0)=0, Find(1)=2, Add (0,1)=71 Succeeded, w=190\",\"Find(0)=2, Find(2)=2, Add (0,2)=71 Failed, w=190\",\"Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=190\",\"Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=190\",\"Find(3)=2, Find(4)=2, Add (3,4)=88 Failed, w=190\",\"Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,71],[0,4,90],[1,2,73],[1,3,88],[1,4,36],[2,3,48],[2,4,35],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=35,(1,4)=36,(2,3)=48,(0,1)=71,(0,2)=71,(1,2)=73,(1,3)=88,(3,4)=88,(0,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=36 Succeeded, w=71\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=48 Succeeded, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=71 Succeeded, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=71 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=88 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,36],[0,2,26],[0,3,79],[0,4,64],[0,5,5],[0,6,83],[0,7,62],[1,2,49],[1,3,5],[1,5,39],[1,6,41],[1,7,31],[2,3,55],[2,4,41],[2,5,61],[2,6,77],[2,7,99],[3,4,26],[3,5,28],[3,6,52],[3,7,25],[4,5,0],[4,7,23],[5,6,50],[5,7,86],[6,7,68]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,26],[0,3,79],[0,4,64],[0,5,5],[0,6,83],[0,7,62],[1,2,49],[1,3,5],[1,5,39],[1,6,41],[1,7,31],[2,3,55],[2,4,41],[2,5,61],[2,6,77],[2,7,99],[3,4,26],[3,5,28],[3,6,52],[3,7,25],[4,5,0],[4,7,23],[5,6,50],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,26],[0,3,79],[0,4,64],[0,5,5],[0,6,83],[0,7,62],[1,2,49],[1,3,5],[1,5,39],[1,6,41],[1,7,31],[2,3,55],[2,4,41],[2,5,61],[2,6,77],[2,7,99],[3,4,26],[3,5,28],[3,6,52],[3,7,25],[4,5,0],[4,7,23],[5,6,50],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (4,7)\",\"Add (3,7)\",\"Add (0,2)\",\"Add (1,6)\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,26],[0,3,79],[0,4,64],[0,5,5],[0,6,83],[0,7,62],[1,2,49],[1,3,5],[1,5,39],[1,6,41],[1,7,31],[2,3,55],[2,4,41],[2,5,61],[2,6,77],[2,7,99],[3,4,26],[3,5,28],[3,6,52],[3,7,25],[4,5,0],[4,7,23],[5,6,50],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (0,5)=5, w=5\",\"Add (1,3)=5, w=10\",\"Add (4,7)=23, w=33\",\"Add (3,7)=25, w=58\",\"Add (0,2)=26, w=84\",\"Add (1,6)=41, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,26],[0,3,79],[0,4,64],[0,5,5],[0,6,83],[0,7,62],[1,2,49],[1,3,5],[1,5,39],[1,6,41],[1,7,31],[2,3,55],[2,4,41],[2,5,61],[2,6,77],[2,7,99],[3,4,26],[3,5,28],[3,6,52],[3,7,25],[4,5,0],[4,7,23],[5,6,50],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (0,5)=5 Succeeded, w=5\",\"Add (1,3)=5 Succeeded, w=10\",\"Add (4,7)=23 Succeeded, w=33\",\"Add (3,7)=25 Succeeded, w=58\",\"Add (0,2)=26 Succeeded, w=84\",\"Add (3,4)=26 Failed, w=84\",\"Add (3,5)=28 Failed, w=84\",\"Add (1,7)=31 Failed, w=84\",\"Add (0,1)=36 Failed, w=84\",\"Add (1,5)=39 Failed, w=84\",\"Add (1,6)=41 Succeeded, w=125\",\"Add (2,4)=41 Failed, w=125\",\"Add (1,2)=49 Failed, w=125\",\"Add (5,6)=50 Failed, w=125\",\"Add (3,6)=52 Failed, w=125\",\"Add (2,3)=55 Failed, w=125\",\"Add (2,5)=61 Failed, w=125\",\"Add (0,7)=62 Failed, w=125\",\"Add (0,4)=64 Failed, w=125\",\"Add (6,7)=68 Failed, w=125\",\"Add (2,6)=77 Failed, w=125\",\"Add (0,3)=79 Failed, w=125\",\"Add (0,6)=83 Failed, w=125\",\"Add (5,7)=86 Failed, w=125\",\"Add (2,7)=99 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,26],[0,3,79],[0,4,64],[0,5,5],[0,6,83],[0,7,62],[1,2,49],[1,3,5],[1,5,39],[1,6,41],[1,7,31],[2,3,55],[2,4,41],[2,5,61],[2,6,77],[2,7,99],[3,4,26],[3,5,28],[3,6,52],[3,7,25],[4,5,0],[4,7,23],[5,6,50],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,5)=5,(1,3)=5,(4,7)=23,(3,7)=25,(0,2)=26,(3,4)=26,(3,5)=28,(1,7)=31,(0,1)=36,(1,5)=39,(1,6)=41,(2,4)=41,(1,2)=49,(5,6)=50,(3,6)=52,(2,3)=55,(2,5)=61,(0,7)=62,(0,4)=64,(6,7)=68,(2,6)=77,(0,3)=79,(0,6)=83,(5,7)=86,(2,7)=99]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=4, Add (0,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=10\",\"Find(4)=4, Find(7)=7, Add (4,7)=23 Succeeded, w=33\",\"Find(3)=1, Find(7)=4, Add (3,7)=25 Succeeded, w=58\",\"Find(0)=1, Find(2)=2, Add (0,2)=26 Succeeded, w=84\",\"Find(3)=1, Find(4)=1, Add (3,4)=26 Failed, w=84\",\"Find(3)=1, Find(5)=1, Add (3,5)=28 Failed, w=84\",\"Find(1)=1, Find(7)=1, Add (1,7)=31 Failed, w=84\",\"Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=84\",\"Find(1)=1, Find(5)=1, Add (1,5)=39 Failed, w=84\",\"Find(1)=1, Find(6)=6, Add (1,6)=41 Succeeded, w=125\",\"Find(2)=1, Find(4)=1, Add (2,4)=41 Failed, w=125\",\"Find(1)=1, Find(2)=1, Add (1,2)=49 Failed, w=125\",\"Find(5)=1, Find(6)=1, Add (5,6)=50 Failed, w=125\",\"Find(3)=1, Find(6)=1, Add (3,6)=52 Failed, w=125\",\"Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=125\",\"Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=125\",\"Find(0)=1, Find(7)=1, Add (0,7)=62 Failed, w=125\",\"Find(0)=1, Find(4)=1, Add (0,4)=64 Failed, w=125\",\"Find(6)=1, Find(7)=1, Add (6,7)=68 Failed, w=125\",\"Find(2)=1, Find(6)=1, Add (2,6)=77 Failed, w=125\",\"Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=125\",\"Find(0)=1, Find(6)=1, Add (0,6)=83 Failed, w=125\",\"Find(5)=1, Find(7)=1, Add (5,7)=86 Failed, w=125\",\"Find(2)=1, Find(7)=1, Add (2,7)=99 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,26],[0,3,79],[0,4,64],[0,5,5],[0,6,83],[0,7,62],[1,2,49],[1,3,5],[1,5,39],[1,6,41],[1,7,31],[2,3,55],[2,4,41],[2,5,61],[2,6,77],[2,7,99],[3,4,26],[3,5,28],[3,6,52],[3,7,25],[4,5,0],[4,7,23],[5,6,50],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,5)=5,(1,3)=5,(4,7)=23,(3,7)=25,(0,2)=26,(3,4)=26,(3,5)=28,(1,7)=31,(0,1)=36,(1,5)=39,(1,6)=41,(2,4)=41,(1,2)=49,(5,6)=50,(3,6)=52,(2,3)=55,(2,5)=61,(0,7)=62,(0,4)=64,(6,7)=68,(2,6)=77,(0,3)=79,(0,6)=83,(5,7)=86,(2,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(5)=4, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=10\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=23 Succeeded, w=33\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 6, 7: 4}, Find(3)=1, Find(7)=4, Add (3,7)=25 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 6, 7: 4}, Find(0)=1, Find(2)=2, Add (0,2)=26 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 6, 7: 4}, Find(3)=1, Find(4)=1, Add (3,4)=26 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 4}, Find(3)=1, Find(5)=1, Add (3,5)=28 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=31 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=39 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=6, Add (1,6)=41 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=41 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=49 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=50 Failed, w=125\",\"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)=52 Failed, w=125\",\"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)=55 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=61 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=62 Failed, w=125\",\"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)=64 Failed, w=125\",\"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)=68 Failed, w=125\",\"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)=77 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=79 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=83 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=86 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=99 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,31],[1,2,91]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=31, w=31\",\"Add (1,2)=91, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=31 Succeeded, w=31\",\"Add (1,2)=91 Succeeded, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=31,(1,2)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Find(1)=0, Find(2)=2, Add (1,2)=91 Succeeded, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[1,2,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=31,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=91 Succeeded, w=122\"],\"Answer\":122}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,14],[0,2,68],[0,4,30],[0,5,35],[1,2,21],[1,3,48],[1,5,88],[2,3,70],[2,4,87],[3,4,29],[3,5,12],[4,5,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,68],[0,4,30],[0,5,35],[1,2,21],[1,3,48],[1,5,88],[2,3,70],[2,4,87],[3,4,29],[3,5,12],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,68],[0,4,30],[0,5,35],[1,2,21],[1,3,48],[1,5,88],[2,3,70],[2,4,87],[3,4,29],[3,5,12],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,68],[0,4,30],[0,5,35],[1,2,21],[1,3,48],[1,5,88],[2,3,70],[2,4,87],[3,4,29],[3,5,12],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=12, w=12\",\"Add (0,1)=14, w=26\",\"Add (1,2)=21, w=47\",\"Add (3,4)=29, w=76\",\"Add (0,4)=30, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,68],[0,4,30],[0,5,35],[1,2,21],[1,3,48],[1,5,88],[2,3,70],[2,4,87],[3,4,29],[3,5,12],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=12 Succeeded, w=12\",\"Add (0,1)=14 Succeeded, w=26\",\"Add (1,2)=21 Succeeded, w=47\",\"Add (3,4)=29 Succeeded, w=76\",\"Add (0,4)=30 Succeeded, w=106\",\"Add (0,5)=35 Failed, w=106\",\"Add (1,3)=48 Failed, w=106\",\"Add (0,2)=68 Failed, w=106\",\"Add (2,3)=70 Failed, w=106\",\"Add (4,5)=75 Failed, w=106\",\"Add (2,4)=87 Failed, w=106\",\"Add (1,5)=88 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,68],[0,4,30],[0,5,35],[1,2,21],[1,3,48],[1,5,88],[2,3,70],[2,4,87],[3,4,29],[3,5,12],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=12,(0,1)=14,(1,2)=21,(3,4)=29,(0,4)=30,(0,5)=35,(1,3)=48,(0,2)=68,(2,3)=70,(4,5)=75,(2,4)=87,(1,5)=88]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=26\",\"Find(1)=0, Find(2)=2, Add (1,2)=21 Succeeded, w=47\",\"Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=76\",\"Find(0)=0, Find(4)=3, Add (0,4)=30 Succeeded, w=106\",\"Find(0)=0, Find(5)=0, Add (0,5)=35 Failed, w=106\",\"Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=106\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=106\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=106\",\"Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=106\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=106\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,68],[0,4,30],[0,5,35],[1,2,21],[1,3,48],[1,5,88],[2,3,70],[2,4,87],[3,4,29],[3,5,12],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=12,(0,1)=14,(1,2)=21,(3,4)=29,(0,4)=30,(0,5)=35,(1,3)=48,(0,2)=68,(2,3)=70,(4,5)=75,(2,4)=87,(1,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 3}, Find(1)=0, Find(2)=2, Add (1,2)=21 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3}, Find(0)=0, Find(4)=3, Add (0,4)=30 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=35 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=48 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,21],[0,2,33],[0,3,62],[0,5,33],[0,6,45],[0,7,0],[1,2,28],[1,3,77],[1,5,18],[1,6,53],[1,7,35],[2,4,63],[2,5,96],[2,6,71],[3,4,33],[3,5,63],[3,6,23],[4,5,65],[4,6,64],[4,7,84],[5,7,91]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,33],[0,3,62],[0,5,33],[0,6,45],[0,7,0],[1,2,28],[1,3,77],[1,5,18],[1,6,53],[1,7,35],[2,4,63],[2,5,96],[2,6,71],[3,4,33],[3,5,63],[3,6,23],[4,5,65],[4,6,64],[4,7,84],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,33],[0,3,62],[0,5,33],[0,6,45],[0,7,0],[1,2,28],[1,3,77],[1,5,18],[1,6,53],[1,7,35],[2,4,63],[2,5,96],[2,6,71],[3,4,33],[3,5,63],[3,6,23],[4,5,65],[4,6,64],[4,7,84],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,6)\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,33],[0,3,62],[0,5,33],[0,6,45],[0,7,0],[1,2,28],[1,3,77],[1,5,18],[1,6,53],[1,7,35],[2,4,63],[2,5,96],[2,6,71],[3,4,33],[3,5,63],[3,6,23],[4,5,65],[4,6,64],[4,7,84],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0, w=0\",\"Add (1,5)=18, w=18\",\"Add (0,1)=21, w=39\",\"Add (3,6)=23, w=62\",\"Add (1,2)=28, w=90\",\"Add (3,4)=33, w=123\",\"Add (0,6)=45, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,33],[0,3,62],[0,5,33],[0,6,45],[0,7,0],[1,2,28],[1,3,77],[1,5,18],[1,6,53],[1,7,35],[2,4,63],[2,5,96],[2,6,71],[3,4,33],[3,5,63],[3,6,23],[4,5,65],[4,6,64],[4,7,84],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0 Succeeded, w=0\",\"Add (1,5)=18 Succeeded, w=18\",\"Add (0,1)=21 Succeeded, w=39\",\"Add (3,6)=23 Succeeded, w=62\",\"Add (1,2)=28 Succeeded, w=90\",\"Add (0,2)=33 Failed, w=90\",\"Add (0,5)=33 Failed, w=90\",\"Add (3,4)=33 Succeeded, w=123\",\"Add (1,7)=35 Failed, w=123\",\"Add (0,6)=45 Succeeded, w=168\",\"Add (1,6)=53 Failed, w=168\",\"Add (0,3)=62 Failed, w=168\",\"Add (2,4)=63 Failed, w=168\",\"Add (3,5)=63 Failed, w=168\",\"Add (4,6)=64 Failed, w=168\",\"Add (4,5)=65 Failed, w=168\",\"Add (2,6)=71 Failed, w=168\",\"Add (1,3)=77 Failed, w=168\",\"Add (4,7)=84 Failed, w=168\",\"Add (5,7)=91 Failed, w=168\",\"Add (2,5)=96 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,33],[0,3,62],[0,5,33],[0,6,45],[0,7,0],[1,2,28],[1,3,77],[1,5,18],[1,6,53],[1,7,35],[2,4,63],[2,5,96],[2,6,71],[3,4,33],[3,5,63],[3,6,23],[4,5,65],[4,6,64],[4,7,84],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(1,5)=18,(0,1)=21,(3,6)=23,(1,2)=28,(0,2)=33,(0,5)=33,(3,4)=33,(1,7)=35,(0,6)=45,(1,6)=53,(0,3)=62,(2,4)=63,(3,5)=63,(4,6)=64,(4,5)=65,(2,6)=71,(1,3)=77,(4,7)=84,(5,7)=91,(2,5)=96]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=39\",\"Find(3)=3, Find(6)=6, Add (3,6)=23 Succeeded, w=62\",\"Find(1)=0, Find(2)=2, Add (1,2)=28 Succeeded, w=90\",\"Find(0)=0, Find(2)=0, Add (0,2)=33 Failed, w=90\",\"Find(0)=0, Find(5)=0, Add (0,5)=33 Failed, w=90\",\"Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=123\",\"Find(1)=0, Find(7)=0, Add (1,7)=35 Failed, w=123\",\"Find(0)=0, Find(6)=3, Add (0,6)=45 Succeeded, w=168\",\"Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=168\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=168\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=168\",\"Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=168\",\"Find(4)=0, Find(6)=0, Add (4,6)=64 Failed, w=168\",\"Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=168\",\"Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=168\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=168\",\"Find(4)=0, Find(7)=0, Add (4,7)=84 Failed, w=168\",\"Find(5)=0, Find(7)=0, Add (5,7)=91 Failed, w=168\",\"Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,21],[0,2,33],[0,3,62],[0,5,33],[0,6,45],[0,7,0],[1,2,28],[1,3,77],[1,5,18],[1,6,53],[1,7,35],[2,4,63],[2,5,96],[2,6,71],[3,4,33],[3,5,63],[3,6,23],[4,5,65],[4,6,64],[4,7,84],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(1,5)=18,(0,1)=21,(3,6)=23,(1,2)=28,(0,2)=33,(0,5)=33,(3,4)=33,(1,7)=35,(0,6)=45,(1,6)=53,(0,3)=62,(2,4)=63,(3,5)=63,(4,6)=64,(4,5)=65,(2,6)=71,(1,3)=77,(4,7)=84,(5,7)=91,(2,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 0}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=23 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 1, 6: 3, 7: 0}, Find(1)=0, Find(2)=2, Add (1,2)=28 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 1, 6: 3, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=33 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=33 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 0}, Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=35 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(6)=3, Add (0,6)=45 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=168\",\"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)=64 Failed, w=168\",\"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)=65 Failed, w=168\",\"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)=71 Failed, w=168\",\"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)=77 Failed, w=168\",\"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=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=91 Failed, w=168\",\"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)=96 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,2,73],[1,4,100]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,73],[1,4,100]]}",
"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\":[[0,1,9],[0,2,73],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"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\":[[0,1,9],[0,2,73],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (0,2)=73, w=82\",\"Add (1,4)=100, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,73],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (0,2)=73 Succeeded, w=82\",\"Add (1,4)=100 Succeeded, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,73],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=73,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=73 Succeeded, w=82\",\"Find(1)=0, Find(4)=4, Add (1,4)=100 Succeeded, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,73],[1,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=73,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=73 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=100 Succeeded, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,15],[0,4,37],[0,6,57],[1,2,24],[1,3,63],[1,4,88],[2,4,66],[2,6,71],[3,5,45],[4,5,13]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,37],[0,6,57],[1,2,24],[1,3,63],[1,4,88],[2,4,66],[2,6,71],[3,5,45],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,37],[0,6,57],[1,2,24],[1,3,63],[1,4,88],[2,4,66],[2,6,71],[3,5,45],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (0,6)\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,37],[0,6,57],[1,2,24],[1,3,63],[1,4,88],[2,4,66],[2,6,71],[3,5,45],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=13, w=13\",\"Add (0,1)=15, w=28\",\"Add (1,2)=24, w=52\",\"Add (0,4)=37, w=89\",\"Add (3,5)=45, w=134\",\"Add (0,6)=57, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,37],[0,6,57],[1,2,24],[1,3,63],[1,4,88],[2,4,66],[2,6,71],[3,5,45],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=13 Succeeded, w=13\",\"Add (0,1)=15 Succeeded, w=28\",\"Add (1,2)=24 Succeeded, w=52\",\"Add (0,4)=37 Succeeded, w=89\",\"Add (3,5)=45 Succeeded, w=134\",\"Add (0,6)=57 Succeeded, w=191\",\"Add (1,3)=63 Failed, w=191\",\"Add (2,4)=66 Failed, w=191\",\"Add (2,6)=71 Failed, w=191\",\"Add (1,4)=88 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,37],[0,6,57],[1,2,24],[1,3,63],[1,4,88],[2,4,66],[2,6,71],[3,5,45],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=13,(0,1)=15,(1,2)=24,(0,4)=37,(3,5)=45,(0,6)=57,(1,3)=63,(2,4)=66,(2,6)=71,(1,4)=88]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=28\",\"Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=52\",\"Find(0)=0, Find(4)=4, Add (0,4)=37 Succeeded, w=89\",\"Find(3)=3, Find(5)=0, Add (3,5)=45 Succeeded, w=134\",\"Find(0)=0, Find(6)=6, Add (0,6)=57 Succeeded, w=191\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=191\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=191\",\"Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=191\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,4,37],[0,6,57],[1,2,24],[1,3,63],[1,4,88],[2,4,66],[2,6,71],[3,5,45],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=13,(0,1)=15,(1,2)=24,(0,4)=37,(3,5)=45,(0,6)=57,(1,3)=63,(2,4)=66,(2,6)=71,(1,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=37 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=3, Find(5)=0, Add (3,5)=45 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=57 Succeeded, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,18],[0,2,34],[0,3,82],[1,2,48],[1,3,17],[1,4,6],[2,3,53],[2,4,78],[3,4,37]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,34],[0,3,82],[1,2,48],[1,3,17],[1,4,6],[2,3,53],[2,4,78],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,34],[0,3,82],[1,2,48],[1,3,17],[1,4,6],[2,3,53],[2,4,78],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,34],[0,3,82],[1,2,48],[1,3,17],[1,4,6],[2,3,53],[2,4,78],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6, w=6\",\"Add (1,3)=17, w=23\",\"Add (0,1)=18, w=41\",\"Add (0,2)=34, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,34],[0,3,82],[1,2,48],[1,3,17],[1,4,6],[2,3,53],[2,4,78],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6 Succeeded, w=6\",\"Add (1,3)=17 Succeeded, w=23\",\"Add (0,1)=18 Succeeded, w=41\",\"Add (0,2)=34 Succeeded, w=75\",\"Add (3,4)=37 Failed, w=75\",\"Add (1,2)=48 Failed, w=75\",\"Add (2,3)=53 Failed, w=75\",\"Add (2,4)=78 Failed, w=75\",\"Add (0,3)=82 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,34],[0,3,82],[1,2,48],[1,3,17],[1,4,6],[2,3,53],[2,4,78],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(1,3)=17,(0,1)=18,(0,2)=34,(3,4)=37,(1,2)=48,(2,3)=53,(2,4)=78,(0,3)=82]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=23\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=41\",\"Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=75\",\"Find(3)=1, Find(4)=1, Add (3,4)=37 Failed, w=75\",\"Find(1)=1, Find(2)=1, Add (1,2)=48 Failed, w=75\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=75\",\"Find(2)=1, Find(4)=1, Add (2,4)=78 Failed, w=75\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,18],[0,2,34],[0,3,82],[1,2,48],[1,3,17],[1,4,6],[2,3,53],[2,4,78],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(1,3)=17,(0,1)=18,(0,2)=34,(3,4)=37,(1,2)=48,(2,3)=53,(2,4)=78,(0,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=34 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=37 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=48 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=78 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,75],[0,2,22],[0,3,1],[0,4,47],[0,5,74],[0,6,31],[0,7,80],[1,2,6],[1,3,49],[1,4,32],[1,5,17],[1,6,43],[1,7,82],[2,3,13],[2,4,63],[2,5,85],[2,6,74],[2,7,40],[3,4,27],[3,5,34],[3,6,7],[3,7,44],[4,5,0],[4,6,63],[4,7,15],[5,6,26],[5,7,95],[6,7,36]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,22],[0,3,1],[0,4,47],[0,5,74],[0,6,31],[0,7,80],[1,2,6],[1,3,49],[1,4,32],[1,5,17],[1,6,43],[1,7,82],[2,3,13],[2,4,63],[2,5,85],[2,6,74],[2,7,40],[3,4,27],[3,5,34],[3,6,7],[3,7,44],[4,5,0],[4,6,63],[4,7,15],[5,6,26],[5,7,95],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,22],[0,3,1],[0,4,47],[0,5,74],[0,6,31],[0,7,80],[1,2,6],[1,3,49],[1,4,32],[1,5,17],[1,6,43],[1,7,82],[2,3,13],[2,4,63],[2,5,85],[2,6,74],[2,7,40],[3,4,27],[3,5,34],[3,6,7],[3,7,44],[4,5,0],[4,6,63],[4,7,15],[5,6,26],[5,7,95],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (1,5)\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,22],[0,3,1],[0,4,47],[0,5,74],[0,6,31],[0,7,80],[1,2,6],[1,3,49],[1,4,32],[1,5,17],[1,6,43],[1,7,82],[2,3,13],[2,4,63],[2,5,85],[2,6,74],[2,7,40],[3,4,27],[3,5,34],[3,6,7],[3,7,44],[4,5,0],[4,6,63],[4,7,15],[5,6,26],[5,7,95],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (0,3)=1, w=1\",\"Add (1,2)=6, w=7\",\"Add (3,6)=7, w=14\",\"Add (2,3)=13, w=27\",\"Add (4,7)=15, w=42\",\"Add (1,5)=17, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,22],[0,3,1],[0,4,47],[0,5,74],[0,6,31],[0,7,80],[1,2,6],[1,3,49],[1,4,32],[1,5,17],[1,6,43],[1,7,82],[2,3,13],[2,4,63],[2,5,85],[2,6,74],[2,7,40],[3,4,27],[3,5,34],[3,6,7],[3,7,44],[4,5,0],[4,6,63],[4,7,15],[5,6,26],[5,7,95],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (0,3)=1 Succeeded, w=1\",\"Add (1,2)=6 Succeeded, w=7\",\"Add (3,6)=7 Succeeded, w=14\",\"Add (2,3)=13 Succeeded, w=27\",\"Add (4,7)=15 Succeeded, w=42\",\"Add (1,5)=17 Succeeded, w=59\",\"Add (0,2)=22 Failed, w=59\",\"Add (5,6)=26 Failed, w=59\",\"Add (3,4)=27 Failed, w=59\",\"Add (0,6)=31 Failed, w=59\",\"Add (1,4)=32 Failed, w=59\",\"Add (3,5)=34 Failed, w=59\",\"Add (6,7)=36 Failed, w=59\",\"Add (2,7)=40 Failed, w=59\",\"Add (1,6)=43 Failed, w=59\",\"Add (3,7)=44 Failed, w=59\",\"Add (0,4)=47 Failed, w=59\",\"Add (1,3)=49 Failed, w=59\",\"Add (2,4)=63 Failed, w=59\",\"Add (4,6)=63 Failed, w=59\",\"Add (0,5)=74 Failed, w=59\",\"Add (2,6)=74 Failed, w=59\",\"Add (0,1)=75 Failed, w=59\",\"Add (0,7)=80 Failed, w=59\",\"Add (1,7)=82 Failed, w=59\",\"Add (2,5)=85 Failed, w=59\",\"Add (5,7)=95 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,22],[0,3,1],[0,4,47],[0,5,74],[0,6,31],[0,7,80],[1,2,6],[1,3,49],[1,4,32],[1,5,17],[1,6,43],[1,7,82],[2,3,13],[2,4,63],[2,5,85],[2,6,74],[2,7,40],[3,4,27],[3,5,34],[3,6,7],[3,7,44],[4,5,0],[4,6,63],[4,7,15],[5,6,26],[5,7,95],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,3)=1,(1,2)=6,(3,6)=7,(2,3)=13,(4,7)=15,(1,5)=17,(0,2)=22,(5,6)=26,(3,4)=27,(0,6)=31,(1,4)=32,(3,5)=34,(6,7)=36,(2,7)=40,(1,6)=43,(3,7)=44,(0,4)=47,(1,3)=49,(2,4)=63,(4,6)=63,(0,5)=74,(2,6)=74,(0,1)=75,(0,7)=80,(1,7)=82,(2,5)=85,(5,7)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=7\",\"Find(3)=0, Find(6)=6, Add (3,6)=7 Succeeded, w=14\",\"Find(2)=1, Find(3)=0, Add (2,3)=13 Succeeded, w=27\",\"Find(4)=4, Find(7)=7, Add (4,7)=15 Succeeded, w=42\",\"Find(1)=1, Find(5)=4, Add (1,5)=17 Succeeded, w=59\",\"Find(0)=1, Find(2)=1, Add (0,2)=22 Failed, w=59\",\"Find(5)=1, Find(6)=1, Add (5,6)=26 Failed, w=59\",\"Find(3)=1, Find(4)=1, Add (3,4)=27 Failed, w=59\",\"Find(0)=1, Find(6)=1, Add (0,6)=31 Failed, w=59\",\"Find(1)=1, Find(4)=1, Add (1,4)=32 Failed, w=59\",\"Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=59\",\"Find(6)=1, Find(7)=1, Add (6,7)=36 Failed, w=59\",\"Find(2)=1, Find(7)=1, Add (2,7)=40 Failed, w=59\",\"Find(1)=1, Find(6)=1, Add (1,6)=43 Failed, w=59\",\"Find(3)=1, Find(7)=1, Add (3,7)=44 Failed, w=59\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=59\",\"Find(1)=1, Find(3)=1, Add (1,3)=49 Failed, w=59\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=59\",\"Find(4)=1, Find(6)=1, Add (4,6)=63 Failed, w=59\",\"Find(0)=1, Find(5)=1, Add (0,5)=74 Failed, w=59\",\"Find(2)=1, Find(6)=1, Add (2,6)=74 Failed, w=59\",\"Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=59\",\"Find(0)=1, Find(7)=1, Add (0,7)=80 Failed, w=59\",\"Find(1)=1, Find(7)=1, Add (1,7)=82 Failed, w=59\",\"Find(2)=1, Find(5)=1, Add (2,5)=85 Failed, w=59\",\"Find(5)=1, Find(7)=1, Add (5,7)=95 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,22],[0,3,1],[0,4,47],[0,5,74],[0,6,31],[0,7,80],[1,2,6],[1,3,49],[1,4,32],[1,5,17],[1,6,43],[1,7,82],[2,3,13],[2,4,63],[2,5,85],[2,6,74],[2,7,40],[3,4,27],[3,5,34],[3,6,7],[3,7,44],[4,5,0],[4,6,63],[4,7,15],[5,6,26],[5,7,95],[6,7,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,3)=1,(1,2)=6,(3,6)=7,(2,3)=13,(4,7)=15,(1,5)=17,(0,2)=22,(5,6)=26,(3,4)=27,(0,6)=31,(1,4)=32,(3,5)=34,(6,7)=36,(2,7)=40,(1,6)=43,(3,7)=44,(0,4)=47,(1,3)=49,(2,4)=63,(4,6)=63,(0,5)=74,(2,6)=74,(0,1)=75,(0,7)=80,(1,7)=82,(2,5)=85,(5,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 4, 6: 0, 7: 7}, Find(3)=0, Find(6)=6, Add (3,6)=7 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 4, 6: 0, 7: 7}, Find(2)=1, Find(3)=0, Add (2,3)=13 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 4, 6: 0, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=15 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 0, 7: 4}, Find(1)=1, Find(5)=4, Add (1,5)=17 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4, 6: 0, 7: 4}, Find(0)=1, Find(2)=1, Add (0,2)=22 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 4}, Find(5)=1, Find(6)=1, Add (5,6)=26 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(3)=1, Find(4)=1, Add (3,4)=27 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(6)=1, Add (0,6)=31 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(4)=1, Add (1,4)=32 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(3)=1, Find(5)=1, Add (3,5)=34 Failed, w=59\",\"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)=36 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=40 Failed, w=59\",\"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)=43 Failed, w=59\",\"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)=44 Failed, w=59\",\"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)=47 Failed, w=59\",\"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)=49 Failed, w=59\",\"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)=63 Failed, w=59\",\"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)=63 Failed, w=59\",\"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)=74 Failed, w=59\",\"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)=74 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=80 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=82 Failed, w=59\",\"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)=85 Failed, w=59\",\"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)=95 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,67],[0,3,34],[0,4,21],[0,5,11],[0,6,94],[1,2,23],[1,3,46],[1,4,93],[1,6,26],[2,3,18],[2,4,36],[2,6,56],[3,4,35],[3,6,52],[4,6,16],[5,6,25]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,34],[0,4,21],[0,5,11],[0,6,94],[1,2,23],[1,3,46],[1,4,93],[1,6,26],[2,3,18],[2,4,36],[2,6,56],[3,4,35],[3,6,52],[4,6,16],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,34],[0,4,21],[0,5,11],[0,6,94],[1,2,23],[1,3,46],[1,4,93],[1,6,26],[2,3,18],[2,4,36],[2,6,56],[3,4,35],[3,6,52],[4,6,16],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,6)\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,34],[0,4,21],[0,5,11],[0,6,94],[1,2,23],[1,3,46],[1,4,93],[1,6,26],[2,3,18],[2,4,36],[2,6,56],[3,4,35],[3,6,52],[4,6,16],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=11, w=11\",\"Add (4,6)=16, w=27\",\"Add (2,3)=18, w=45\",\"Add (0,4)=21, w=66\",\"Add (1,2)=23, w=89\",\"Add (1,6)=26, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,34],[0,4,21],[0,5,11],[0,6,94],[1,2,23],[1,3,46],[1,4,93],[1,6,26],[2,3,18],[2,4,36],[2,6,56],[3,4,35],[3,6,52],[4,6,16],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=11 Succeeded, w=11\",\"Add (4,6)=16 Succeeded, w=27\",\"Add (2,3)=18 Succeeded, w=45\",\"Add (0,4)=21 Succeeded, w=66\",\"Add (1,2)=23 Succeeded, w=89\",\"Add (5,6)=25 Failed, w=89\",\"Add (1,6)=26 Succeeded, w=115\",\"Add (0,3)=34 Failed, w=115\",\"Add (3,4)=35 Failed, w=115\",\"Add (2,4)=36 Failed, w=115\",\"Add (1,3)=46 Failed, w=115\",\"Add (3,6)=52 Failed, w=115\",\"Add (2,6)=56 Failed, w=115\",\"Add (0,2)=67 Failed, w=115\",\"Add (1,4)=93 Failed, w=115\",\"Add (0,6)=94 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,34],[0,4,21],[0,5,11],[0,6,94],[1,2,23],[1,3,46],[1,4,93],[1,6,26],[2,3,18],[2,4,36],[2,6,56],[3,4,35],[3,6,52],[4,6,16],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=11,(4,6)=16,(2,3)=18,(0,4)=21,(1,2)=23,(5,6)=25,(1,6)=26,(0,3)=34,(3,4)=35,(2,4)=36,(1,3)=46,(3,6)=52,(2,6)=56,(0,2)=67,(1,4)=93,(0,6)=94]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=11\",\"Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=27\",\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=45\",\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=66\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=89\",\"Find(5)=0, Find(6)=0, Add (5,6)=25 Failed, w=89\",\"Find(1)=2, Find(6)=0, Add (1,6)=26 Succeeded, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=34 Failed, w=115\",\"Find(3)=0, Find(4)=0, Add (3,4)=35 Failed, w=115\",\"Find(2)=0, Find(4)=0, Add (2,4)=36 Failed, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=115\",\"Find(3)=0, Find(6)=0, Add (3,6)=52 Failed, w=115\",\"Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=115\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=115\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=115\",\"Find(0)=0, Find(6)=0, Add (0,6)=94 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,67],[0,3,34],[0,4,21],[0,5,11],[0,6,94],[1,2,23],[1,3,46],[1,4,93],[1,6,26],[2,3,18],[2,4,36],[2,6,56],[3,4,35],[3,6,52],[4,6,16],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=11,(4,6)=16,(2,3)=18,(0,4)=21,(1,2)=23,(5,6)=25,(1,6)=26,(0,3)=34,(3,4)=35,(2,4)=36,(1,3)=46,(3,6)=52,(2,6)=56,(0,2)=67,(1,4)=93,(0,6)=94]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=16 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 4}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=66\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 0, 6: 4}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=25 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(1)=2, Find(6)=0, Add (1,6)=26 Succeeded, w=115\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=34 Failed, w=115\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=35 Failed, w=115\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=36 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=52 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=94 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,96],[0,4,29],[0,5,66],[0,6,25],[1,2,76],[1,3,71],[1,4,89],[1,6,5],[2,3,76],[2,4,53],[2,5,30],[2,6,39],[3,4,45],[3,5,20],[3,6,1],[4,5,35],[4,6,50],[5,6,28]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,29],[0,5,66],[0,6,25],[1,2,76],[1,3,71],[1,4,89],[1,6,5],[2,3,76],[2,4,53],[2,5,30],[2,6,39],[3,4,45],[3,5,20],[3,6,1],[4,5,35],[4,6,50],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,29],[0,5,66],[0,6,25],[1,2,76],[1,3,71],[1,4,89],[1,6,5],[2,3,76],[2,4,53],[2,5,30],[2,6,39],[3,4,45],[3,5,20],[3,6,1],[4,5,35],[4,6,50],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,6)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (0,4)\",\"Add (2,5)\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,29],[0,5,66],[0,6,25],[1,2,76],[1,3,71],[1,4,89],[1,6,5],[2,3,76],[2,4,53],[2,5,30],[2,6,39],[3,4,45],[3,5,20],[3,6,1],[4,5,35],[4,6,50],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (1,6)=5, w=6\",\"Add (3,5)=20, w=26\",\"Add (0,6)=25, w=51\",\"Add (0,4)=29, w=80\",\"Add (2,5)=30, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,29],[0,5,66],[0,6,25],[1,2,76],[1,3,71],[1,4,89],[1,6,5],[2,3,76],[2,4,53],[2,5,30],[2,6,39],[3,4,45],[3,5,20],[3,6,1],[4,5,35],[4,6,50],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (1,6)=5 Succeeded, w=6\",\"Add (3,5)=20 Succeeded, w=26\",\"Add (0,6)=25 Succeeded, w=51\",\"Add (5,6)=28 Failed, w=51\",\"Add (0,4)=29 Succeeded, w=80\",\"Add (2,5)=30 Succeeded, w=110\",\"Add (4,5)=35 Failed, w=110\",\"Add (2,6)=39 Failed, w=110\",\"Add (3,4)=45 Failed, w=110\",\"Add (4,6)=50 Failed, w=110\",\"Add (2,4)=53 Failed, w=110\",\"Add (0,5)=66 Failed, w=110\",\"Add (1,3)=71 Failed, w=110\",\"Add (1,2)=76 Failed, w=110\",\"Add (2,3)=76 Failed, w=110\",\"Add (1,4)=89 Failed, w=110\",\"Add (0,1)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,29],[0,5,66],[0,6,25],[1,2,76],[1,3,71],[1,4,89],[1,6,5],[2,3,76],[2,4,53],[2,5,30],[2,6,39],[3,4,45],[3,5,20],[3,6,1],[4,5,35],[4,6,50],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(1,6)=5,(3,5)=20,(0,6)=25,(5,6)=28,(0,4)=29,(2,5)=30,(4,5)=35,(2,6)=39,(3,4)=45,(4,6)=50,(2,4)=53,(0,5)=66,(1,3)=71,(1,2)=76,(2,3)=76,(1,4)=89,(0,1)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=3, Add (1,6)=5 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=26\",\"Find(0)=0, Find(6)=3, Add (0,6)=25 Succeeded, w=51\",\"Find(5)=3, Find(6)=3, Add (5,6)=28 Failed, w=51\",\"Find(0)=3, Find(4)=4, Add (0,4)=29 Succeeded, w=80\",\"Find(2)=2, Find(5)=3, Add (2,5)=30 Succeeded, w=110\",\"Find(4)=3, Find(5)=3, Add (4,5)=35 Failed, w=110\",\"Find(2)=3, Find(6)=3, Add (2,6)=39 Failed, w=110\",\"Find(3)=3, Find(4)=3, Add (3,4)=45 Failed, w=110\",\"Find(4)=3, Find(6)=3, Add (4,6)=50 Failed, w=110\",\"Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=110\",\"Find(0)=3, Find(5)=3, Add (0,5)=66 Failed, w=110\",\"Find(1)=3, Find(3)=3, Add (1,3)=71 Failed, w=110\",\"Find(1)=3, Find(2)=3, Add (1,2)=76 Failed, w=110\",\"Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=110\",\"Find(1)=3, Find(4)=3, Add (1,4)=89 Failed, w=110\",\"Find(0)=3, Find(1)=3, Add (0,1)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,4,29],[0,5,66],[0,6,25],[1,2,76],[1,3,71],[1,4,89],[1,6,5],[2,3,76],[2,4,53],[2,5,30],[2,6,39],[3,4,45],[3,5,20],[3,6,1],[4,5,35],[4,6,50],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(1,6)=5,(3,5)=20,(0,6)=25,(5,6)=28,(0,4)=29,(2,5)=30,(4,5)=35,(2,6)=39,(3,4)=45,(4,6)=50,(2,4)=53,(0,5)=66,(1,3)=71,(1,2)=76,(2,3)=76,(1,4)=89,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=20 Succeeded, w=26\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=25 Succeeded, w=51\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=28 Failed, w=51\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=4, Add (0,4)=29 Succeeded, w=80\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=2, Find(5)=3, Add (2,5)=30 Succeeded, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=35 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=39 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=45 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=50 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=66 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(3)=3, Add (1,3)=71 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=76 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=89 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,2,30],[0,3,16],[0,4,30],[1,3,34],[1,4,96],[2,3,88],[2,4,91],[3,4,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,30],[0,3,16],[0,4,30],[1,3,34],[1,4,96],[2,3,88],[2,4,91],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,30],[0,3,16],[0,4,30],[1,3,34],[1,4,96],[2,3,88],[2,4,91],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,30],[0,3,16],[0,4,30],[1,3,34],[1,4,96],[2,3,88],[2,4,91],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16, w=16\",\"Add (0,2)=30, w=46\",\"Add (0,4)=30, w=76\",\"Add (1,3)=34, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,30],[0,3,16],[0,4,30],[1,3,34],[1,4,96],[2,3,88],[2,4,91],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16 Succeeded, w=16\",\"Add (0,2)=30 Succeeded, w=46\",\"Add (0,4)=30 Succeeded, w=76\",\"Add (1,3)=34 Succeeded, w=110\",\"Add (0,1)=65 Failed, w=110\",\"Add (2,3)=88 Failed, w=110\",\"Add (3,4)=89 Failed, w=110\",\"Add (2,4)=91 Failed, w=110\",\"Add (1,4)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,30],[0,3,16],[0,4,30],[1,3,34],[1,4,96],[2,3,88],[2,4,91],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(0,2)=30,(0,4)=30,(1,3)=34,(0,1)=65,(2,3)=88,(3,4)=89,(2,4)=91,(1,4)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=46\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=76\",\"Find(1)=1, Find(3)=0, Add (1,3)=34 Succeeded, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=110\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=110\",\"Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,30],[0,3,16],[0,4,30],[1,3,34],[1,4,96],[2,3,88],[2,4,91],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(0,2)=30,(0,4)=30,(1,3)=34,(0,1)=65,(2,3)=88,(3,4)=89,(2,4)=91,(1,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=34 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,30],[0,3,35],[1,2,79],[1,3,85],[2,3,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,30],[0,3,35],[1,2,79],[1,3,85],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,30],[0,3,35],[1,2,79],[1,3,85],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,30],[0,3,35],[1,2,79],[1,3,85],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=30, w=30\",\"Add (0,3)=35, w=65\",\"Add (1,2)=79, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,30],[0,3,35],[1,2,79],[1,3,85],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=30 Succeeded, w=30\",\"Add (0,3)=35 Succeeded, w=65\",\"Add (2,3)=62 Failed, w=65\",\"Add (1,2)=79 Succeeded, w=144\",\"Add (1,3)=85 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,30],[0,3,35],[1,2,79],[1,3,85],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=30,(0,3)=35,(2,3)=62,(1,2)=79,(1,3)=85]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=65\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=65\",\"Find(1)=1, Find(2)=0, Add (1,2)=79 Succeeded, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,30],[0,3,35],[1,2,79],[1,3,85],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=30,(0,3)=35,(2,3)=62,(1,2)=79,(1,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=79 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,83],[0,2,86],[0,3,57],[2,3,32],[3,4,25]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,86],[0,3,57],[2,3,32],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,86],[0,3,57],[2,3,32],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,86],[0,3,57],[2,3,32],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=25, w=25\",\"Add (2,3)=32, w=57\",\"Add (0,3)=57, w=114\",\"Add (0,1)=83, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,86],[0,3,57],[2,3,32],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=25 Succeeded, w=25\",\"Add (2,3)=32 Succeeded, w=57\",\"Add (0,3)=57 Succeeded, w=114\",\"Add (0,1)=83 Succeeded, w=197\",\"Add (0,2)=86 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,86],[0,3,57],[2,3,32],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=25,(2,3)=32,(0,3)=57,(0,1)=83,(0,2)=86]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=25\",\"Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=57\",\"Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=114\",\"Find(0)=3, Find(1)=1, Add (0,1)=83 Succeeded, w=197\",\"Find(0)=3, Find(2)=3, Add (0,2)=86 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,86],[0,3,57],[2,3,32],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=25,(2,3)=32,(0,3)=57,(0,1)=83,(0,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=32 Succeeded, w=57\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=114\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=83 Succeeded, w=197\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=86 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,36],[0,3,21],[0,4,16],[0,5,29],[0,6,0],[1,2,32],[1,3,86],[1,4,91],[1,5,17],[1,6,38],[2,3,5],[2,4,33],[2,5,31],[2,6,79],[3,4,76],[3,5,33],[4,5,56],[4,6,98],[5,6,49]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,21],[0,4,16],[0,5,29],[0,6,0],[1,2,32],[1,3,86],[1,4,91],[1,5,17],[1,6,38],[2,3,5],[2,4,33],[2,5,31],[2,6,79],[3,4,76],[3,5,33],[4,5,56],[4,6,98],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,21],[0,4,16],[0,5,29],[0,6,0],[1,2,32],[1,3,86],[1,4,91],[1,5,17],[1,6,38],[2,3,5],[2,4,33],[2,5,31],[2,6,79],[3,4,76],[3,5,33],[4,5,56],[4,6,98],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,21],[0,4,16],[0,5,29],[0,6,0],[1,2,32],[1,3,86],[1,4,91],[1,5,17],[1,6,38],[2,3,5],[2,4,33],[2,5,31],[2,6,79],[3,4,76],[3,5,33],[4,5,56],[4,6,98],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (2,3)=5, w=5\",\"Add (0,4)=16, w=21\",\"Add (1,5)=17, w=38\",\"Add (0,3)=21, w=59\",\"Add (0,5)=29, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,21],[0,4,16],[0,5,29],[0,6,0],[1,2,32],[1,3,86],[1,4,91],[1,5,17],[1,6,38],[2,3,5],[2,4,33],[2,5,31],[2,6,79],[3,4,76],[3,5,33],[4,5,56],[4,6,98],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,4)=16 Succeeded, w=21\",\"Add (1,5)=17 Succeeded, w=38\",\"Add (0,3)=21 Succeeded, w=59\",\"Add (0,5)=29 Succeeded, w=88\",\"Add (2,5)=31 Failed, w=88\",\"Add (1,2)=32 Failed, w=88\",\"Add (2,4)=33 Failed, w=88\",\"Add (3,5)=33 Failed, w=88\",\"Add (0,2)=36 Failed, w=88\",\"Add (1,6)=38 Failed, w=88\",\"Add (5,6)=49 Failed, w=88\",\"Add (4,5)=56 Failed, w=88\",\"Add (3,4)=76 Failed, w=88\",\"Add (2,6)=79 Failed, w=88\",\"Add (1,3)=86 Failed, w=88\",\"Add (1,4)=91 Failed, w=88\",\"Add (4,6)=98 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,21],[0,4,16],[0,5,29],[0,6,0],[1,2,32],[1,3,86],[1,4,91],[1,5,17],[1,6,38],[2,3,5],[2,4,33],[2,5,31],[2,6,79],[3,4,76],[3,5,33],[4,5,56],[4,6,98],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(2,3)=5,(0,4)=16,(1,5)=17,(0,3)=21,(0,5)=29,(2,5)=31,(1,2)=32,(2,4)=33,(3,5)=33,(0,2)=36,(1,6)=38,(5,6)=49,(4,5)=56,(3,4)=76,(2,6)=79,(1,3)=86,(1,4)=91,(4,6)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=21\",\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=38\",\"Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=59\",\"Find(0)=0, Find(5)=1, Add (0,5)=29 Succeeded, w=88\",\"Find(2)=0, Find(5)=0, Add (2,5)=31 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=88\",\"Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=88\",\"Find(3)=0, Find(5)=0, Add (3,5)=33 Failed, w=88\",\"Find(0)=0, Find(2)=0, Add (0,2)=36 Failed, w=88\",\"Find(1)=0, Find(6)=0, Add (1,6)=38 Failed, w=88\",\"Find(5)=0, Find(6)=0, Add (5,6)=49 Failed, w=88\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=88\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=88\",\"Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=88\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=88\",\"Find(4)=0, Find(6)=0, Add (4,6)=98 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,21],[0,4,16],[0,5,29],[0,6,0],[1,2,32],[1,3,86],[1,4,91],[1,5,17],[1,6,38],[2,3,5],[2,4,33],[2,5,31],[2,6,79],[3,4,76],[3,5,33],[4,5,56],[4,6,98],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(2,3)=5,(0,4)=16,(1,5)=17,(0,3)=21,(0,5)=29,(2,5)=31,(1,2)=32,(2,4)=33,(3,5)=33,(0,2)=36,(1,6)=38,(5,6)=49,(4,5)=56,(3,4)=76,(2,6)=79,(1,3)=86,(1,4)=91,(4,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 1, 6: 0}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(3)=2, Add (0,3)=21 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(5)=1, Add (0,5)=29 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=31 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=32 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=33 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=36 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=38 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=49 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=98 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,85],[0,2,57],[0,3,98],[0,4,27],[0,5,53],[0,6,36],[1,2,37],[1,3,81],[1,4,23],[1,5,27],[1,6,59],[2,3,14],[2,4,12],[2,5,98],[2,6,38],[3,4,22],[3,5,38],[3,6,15],[4,5,84],[4,6,20],[5,6,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,57],[0,3,98],[0,4,27],[0,5,53],[0,6,36],[1,2,37],[1,3,81],[1,4,23],[1,5,27],[1,6,59],[2,3,14],[2,4,12],[2,5,98],[2,6,38],[3,4,22],[3,5,38],[3,6,15],[4,5,84],[4,6,20],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,57],[0,3,98],[0,4,27],[0,5,53],[0,6,36],[1,2,37],[1,3,81],[1,4,23],[1,5,27],[1,6,59],[2,3,14],[2,4,12],[2,5,98],[2,6,38],[3,4,22],[3,5,38],[3,6,15],[4,5,84],[4,6,20],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,57],[0,3,98],[0,4,27],[0,5,53],[0,6,36],[1,2,37],[1,3,81],[1,4,23],[1,5,27],[1,6,59],[2,3,14],[2,4,12],[2,5,98],[2,6,38],[3,4,22],[3,5,38],[3,6,15],[4,5,84],[4,6,20],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=12, w=12\",\"Add (2,3)=14, w=26\",\"Add (3,6)=15, w=41\",\"Add (1,4)=23, w=64\",\"Add (0,4)=27, w=91\",\"Add (1,5)=27, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,57],[0,3,98],[0,4,27],[0,5,53],[0,6,36],[1,2,37],[1,3,81],[1,4,23],[1,5,27],[1,6,59],[2,3,14],[2,4,12],[2,5,98],[2,6,38],[3,4,22],[3,5,38],[3,6,15],[4,5,84],[4,6,20],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=12 Succeeded, w=12\",\"Add (2,3)=14 Succeeded, w=26\",\"Add (3,6)=15 Succeeded, w=41\",\"Add (4,6)=20 Failed, w=41\",\"Add (3,4)=22 Failed, w=41\",\"Add (1,4)=23 Succeeded, w=64\",\"Add (0,4)=27 Succeeded, w=91\",\"Add (1,5)=27 Succeeded, w=118\",\"Add (0,6)=36 Failed, w=118\",\"Add (1,2)=37 Failed, w=118\",\"Add (2,6)=38 Failed, w=118\",\"Add (3,5)=38 Failed, w=118\",\"Add (0,5)=53 Failed, w=118\",\"Add (0,2)=57 Failed, w=118\",\"Add (1,6)=59 Failed, w=118\",\"Add (1,3)=81 Failed, w=118\",\"Add (4,5)=84 Failed, w=118\",\"Add (0,1)=85 Failed, w=118\",\"Add (5,6)=89 Failed, w=118\",\"Add (0,3)=98 Failed, w=118\",\"Add (2,5)=98 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,57],[0,3,98],[0,4,27],[0,5,53],[0,6,36],[1,2,37],[1,3,81],[1,4,23],[1,5,27],[1,6,59],[2,3,14],[2,4,12],[2,5,98],[2,6,38],[3,4,22],[3,5,38],[3,6,15],[4,5,84],[4,6,20],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=12,(2,3)=14,(3,6)=15,(4,6)=20,(3,4)=22,(1,4)=23,(0,4)=27,(1,5)=27,(0,6)=36,(1,2)=37,(2,6)=38,(3,5)=38,(0,5)=53,(0,2)=57,(1,6)=59,(1,3)=81,(4,5)=84,(0,1)=85,(5,6)=89,(0,3)=98,(2,5)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=26\",\"Find(3)=2, Find(6)=6, Add (3,6)=15 Succeeded, w=41\",\"Find(4)=2, Find(6)=2, Add (4,6)=20 Failed, w=41\",\"Find(3)=2, Find(4)=2, Add (3,4)=22 Failed, w=41\",\"Find(1)=1, Find(4)=2, Add (1,4)=23 Succeeded, w=64\",\"Find(0)=0, Find(4)=2, Add (0,4)=27 Succeeded, w=91\",\"Find(1)=2, Find(5)=5, Add (1,5)=27 Succeeded, w=118\",\"Find(0)=2, Find(6)=2, Add (0,6)=36 Failed, w=118\",\"Find(1)=2, Find(2)=2, Add (1,2)=37 Failed, w=118\",\"Find(2)=2, Find(6)=2, Add (2,6)=38 Failed, w=118\",\"Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=118\",\"Find(0)=2, Find(5)=2, Add (0,5)=53 Failed, w=118\",\"Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=118\",\"Find(1)=2, Find(6)=2, Add (1,6)=59 Failed, w=118\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=118\",\"Find(4)=2, Find(5)=2, Add (4,5)=84 Failed, w=118\",\"Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=118\",\"Find(5)=2, Find(6)=2, Add (5,6)=89 Failed, w=118\",\"Find(0)=2, Find(3)=2, Add (0,3)=98 Failed, w=118\",\"Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,2,57],[0,3,98],[0,4,27],[0,5,53],[0,6,36],[1,2,37],[1,3,81],[1,4,23],[1,5,27],[1,6,59],[2,3,14],[2,4,12],[2,5,98],[2,6,38],[3,4,22],[3,5,38],[3,6,15],[4,5,84],[4,6,20],[5,6,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=12,(2,3)=14,(3,6)=15,(4,6)=20,(3,4)=22,(1,4)=23,(0,4)=27,(1,5)=27,(0,6)=36,(1,2)=37,(2,6)=38,(3,5)=38,(0,5)=53,(0,2)=57,(1,6)=59,(1,3)=81,(4,5)=84,(0,1)=85,(5,6)=89,(0,3)=98,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=15 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=20 Failed, w=41\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=22 Failed, w=41\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=1, Find(4)=2, Add (1,4)=23 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=27 Succeeded, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=5, Add (1,5)=27 Succeeded, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=36 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=37 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=38 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=53 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=57 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=59 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=84 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=89 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=98 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,32],[0,2,84],[0,3,3],[0,4,10],[0,5,40],[0,6,78],[1,2,16],[1,3,97],[1,4,73],[1,5,79],[1,6,68],[2,3,69],[2,4,28],[2,6,99],[3,4,43],[3,5,33],[3,6,61],[4,6,10],[5,6,20]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,84],[0,3,3],[0,4,10],[0,5,40],[0,6,78],[1,2,16],[1,3,97],[1,4,73],[1,5,79],[1,6,68],[2,3,69],[2,4,28],[2,6,99],[3,4,43],[3,5,33],[3,6,61],[4,6,10],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,84],[0,3,3],[0,4,10],[0,5,40],[0,6,78],[1,2,16],[1,3,97],[1,4,73],[1,5,79],[1,6,68],[2,3,69],[2,4,28],[2,6,99],[3,4,43],[3,5,33],[3,6,61],[4,6,10],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (4,6)\",\"Add (1,2)\",\"Add (5,6)\",\"Add (2,4)\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,84],[0,3,3],[0,4,10],[0,5,40],[0,6,78],[1,2,16],[1,3,97],[1,4,73],[1,5,79],[1,6,68],[2,3,69],[2,4,28],[2,6,99],[3,4,43],[3,5,33],[3,6,61],[4,6,10],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (0,4)=10, w=13\",\"Add (4,6)=10, w=23\",\"Add (1,2)=16, w=39\",\"Add (5,6)=20, w=59\",\"Add (2,4)=28, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,84],[0,3,3],[0,4,10],[0,5,40],[0,6,78],[1,2,16],[1,3,97],[1,4,73],[1,5,79],[1,6,68],[2,3,69],[2,4,28],[2,6,99],[3,4,43],[3,5,33],[3,6,61],[4,6,10],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,4)=10 Succeeded, w=13\",\"Add (4,6)=10 Succeeded, w=23\",\"Add (1,2)=16 Succeeded, w=39\",\"Add (5,6)=20 Succeeded, w=59\",\"Add (2,4)=28 Succeeded, w=87\",\"Add (0,1)=32 Failed, w=87\",\"Add (3,5)=33 Failed, w=87\",\"Add (0,5)=40 Failed, w=87\",\"Add (3,4)=43 Failed, w=87\",\"Add (3,6)=61 Failed, w=87\",\"Add (1,6)=68 Failed, w=87\",\"Add (2,3)=69 Failed, w=87\",\"Add (1,4)=73 Failed, w=87\",\"Add (0,6)=78 Failed, w=87\",\"Add (1,5)=79 Failed, w=87\",\"Add (0,2)=84 Failed, w=87\",\"Add (1,3)=97 Failed, w=87\",\"Add (2,6)=99 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,84],[0,3,3],[0,4,10],[0,5,40],[0,6,78],[1,2,16],[1,3,97],[1,4,73],[1,5,79],[1,6,68],[2,3,69],[2,4,28],[2,6,99],[3,4,43],[3,5,33],[3,6,61],[4,6,10],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,4)=10,(4,6)=10,(1,2)=16,(5,6)=20,(2,4)=28,(0,1)=32,(3,5)=33,(0,5)=40,(3,4)=43,(3,6)=61,(1,6)=68,(2,3)=69,(1,4)=73,(0,6)=78,(1,5)=79,(0,2)=84,(1,3)=97,(2,6)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=13\",\"Find(4)=0, Find(6)=6, Add (4,6)=10 Succeeded, w=23\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=39\",\"Find(5)=5, Find(6)=0, Add (5,6)=20 Succeeded, w=59\",\"Find(2)=1, Find(4)=0, Add (2,4)=28 Succeeded, w=87\",\"Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=87\",\"Find(3)=1, Find(5)=1, Add (3,5)=33 Failed, w=87\",\"Find(0)=1, Find(5)=1, Add (0,5)=40 Failed, w=87\",\"Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=87\",\"Find(3)=1, Find(6)=1, Add (3,6)=61 Failed, w=87\",\"Find(1)=1, Find(6)=1, Add (1,6)=68 Failed, w=87\",\"Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=87\",\"Find(1)=1, Find(4)=1, Add (1,4)=73 Failed, w=87\",\"Find(0)=1, Find(6)=1, Add (0,6)=78 Failed, w=87\",\"Find(1)=1, Find(5)=1, Add (1,5)=79 Failed, w=87\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=87\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=87\",\"Find(2)=1, Find(6)=1, Add (2,6)=99 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,84],[0,3,3],[0,4,10],[0,5,40],[0,6,78],[1,2,16],[1,3,97],[1,4,73],[1,5,79],[1,6,68],[2,3,69],[2,4,28],[2,6,99],[3,4,43],[3,5,33],[3,6,61],[4,6,10],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,4)=10,(4,6)=10,(1,2)=16,(5,6)=20,(2,4)=28,(0,1)=32,(3,5)=33,(0,5)=40,(3,4)=43,(3,6)=61,(1,6)=68,(2,3)=69,(1,4)=73,(0,6)=78,(1,5)=79,(0,2)=84,(1,3)=97,(2,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=10 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=20 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=1, Find(4)=0, Add (2,4)=28 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 0}, Find(3)=1, Find(5)=1, Add (3,5)=33 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 0}, Find(0)=1, Find(5)=1, Add (0,5)=40 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=61 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=68 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=73 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=78 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=79 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=99 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,38],[0,3,97],[1,2,81],[1,3,96],[2,3,45]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,3,97],[1,2,81],[1,3,96],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,3,97],[1,2,81],[1,3,96],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,3,97],[1,2,81],[1,3,96],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=38, w=38\",\"Add (2,3)=45, w=83\",\"Add (1,2)=81, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,3,97],[1,2,81],[1,3,96],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=38 Succeeded, w=38\",\"Add (2,3)=45 Succeeded, w=83\",\"Add (1,2)=81 Succeeded, w=164\",\"Add (1,3)=96 Failed, w=164\",\"Add (0,3)=97 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,3,97],[1,2,81],[1,3,96],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=38,(2,3)=45,(1,2)=81,(1,3)=96,(0,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=38\",\"Find(2)=2, Find(3)=3, Add (2,3)=45 Succeeded, w=83\",\"Find(1)=0, Find(2)=2, Add (1,2)=81 Succeeded, w=164\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=164\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,3,97],[1,2,81],[1,3,96],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=38,(2,3)=45,(1,2)=81,(1,3)=96,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=45 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=81 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,79],[0,5,90],[0,6,55],[1,3,30],[1,5,88],[2,4,79],[2,5,45],[2,6,80],[2,7,35],[3,4,66],[3,7,25],[4,5,4],[4,6,53],[4,7,45],[5,6,44],[5,7,93],[6,7,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,90],[0,6,55],[1,3,30],[1,5,88],[2,4,79],[2,5,45],[2,6,80],[2,7,35],[3,4,66],[3,7,25],[4,5,4],[4,6,53],[4,7,45],[5,6,44],[5,7,93],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,90],[0,6,55],[1,3,30],[1,5,88],[2,4,79],[2,5,45],[2,6,80],[2,7,35],[3,4,66],[3,7,25],[4,5,4],[4,6,53],[4,7,45],[5,6,44],[5,7,93],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,7)\",\"Add (1,3)\",\"Add (2,7)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (0,6)\"],\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,90],[0,6,55],[1,3,30],[1,5,88],[2,4,79],[2,5,45],[2,6,80],[2,7,35],[3,4,66],[3,7,25],[4,5,4],[4,6,53],[4,7,45],[5,6,44],[5,7,93],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4, w=4\",\"Add (3,7)=25, w=29\",\"Add (1,3)=30, w=59\",\"Add (2,7)=35, w=94\",\"Add (5,6)=44, w=138\",\"Add (2,5)=45, w=183\",\"Add (0,6)=55, w=238\"],\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,90],[0,6,55],[1,3,30],[1,5,88],[2,4,79],[2,5,45],[2,6,80],[2,7,35],[3,4,66],[3,7,25],[4,5,4],[4,6,53],[4,7,45],[5,6,44],[5,7,93],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4 Succeeded, w=4\",\"Add (3,7)=25 Succeeded, w=29\",\"Add (1,3)=30 Succeeded, w=59\",\"Add (2,7)=35 Succeeded, w=94\",\"Add (5,6)=44 Succeeded, w=138\",\"Add (2,5)=45 Succeeded, w=183\",\"Add (4,7)=45 Failed, w=183\",\"Add (4,6)=53 Failed, w=183\",\"Add (0,6)=55 Succeeded, w=238\",\"Add (3,4)=66 Failed, w=238\",\"Add (0,1)=79 Failed, w=238\",\"Add (2,4)=79 Failed, w=238\",\"Add (2,6)=80 Failed, w=238\",\"Add (6,7)=85 Failed, w=238\",\"Add (1,5)=88 Failed, w=238\",\"Add (0,5)=90 Failed, w=238\",\"Add (5,7)=93 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,90],[0,6,55],[1,3,30],[1,5,88],[2,4,79],[2,5,45],[2,6,80],[2,7,35],[3,4,66],[3,7,25],[4,5,4],[4,6,53],[4,7,45],[5,6,44],[5,7,93],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(3,7)=25,(1,3)=30,(2,7)=35,(5,6)=44,(2,5)=45,(4,7)=45,(4,6)=53,(0,6)=55,(3,4)=66,(0,1)=79,(2,4)=79,(2,6)=80,(6,7)=85,(1,5)=88,(0,5)=90,(5,7)=93]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Find(3)=3, Find(7)=7, Add (3,7)=25 Succeeded, w=29\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=59\",\"Find(2)=2, Find(7)=3, Add (2,7)=35 Succeeded, w=94\",\"Find(5)=4, Find(6)=6, Add (5,6)=44 Succeeded, w=138\",\"Find(2)=3, Find(5)=4, Add (2,5)=45 Succeeded, w=183\",\"Find(4)=3, Find(7)=3, Add (4,7)=45 Failed, w=183\",\"Find(4)=3, Find(6)=3, Add (4,6)=53 Failed, w=183\",\"Find(0)=0, Find(6)=3, Add (0,6)=55 Succeeded, w=238\",\"Find(3)=3, Find(4)=3, Add (3,4)=66 Failed, w=238\",\"Find(0)=3, Find(1)=3, Add (0,1)=79 Failed, w=238\",\"Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=238\",\"Find(2)=3, Find(6)=3, Add (2,6)=80 Failed, w=238\",\"Find(6)=3, Find(7)=3, Add (6,7)=85 Failed, w=238\",\"Find(1)=3, Find(5)=3, Add (1,5)=88 Failed, w=238\",\"Find(0)=3, Find(5)=3, Add (0,5)=90 Failed, w=238\",\"Find(5)=3, Find(7)=3, Add (5,7)=93 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,90],[0,6,55],[1,3,30],[1,5,88],[2,4,79],[2,5,45],[2,6,80],[2,7,35],[3,4,66],[3,7,25],[4,5,4],[4,6,53],[4,7,45],[5,6,44],[5,7,93],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(3,7)=25,(1,3)=30,(2,7)=35,(5,6)=44,(2,5)=45,(4,7)=45,(4,6)=53,(0,6)=55,(3,4)=66,(0,1)=79,(2,4)=79,(2,6)=80,(6,7)=85,(1,5)=88,(0,5)=90,(5,7)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=25 Succeeded, w=29\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=59\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=35 Succeeded, w=94\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 4, 6: 4, 7: 3}, Find(5)=4, Find(6)=6, Add (5,6)=44 Succeeded, w=138\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 4, 7: 3}, Find(2)=3, Find(5)=4, Add (2,5)=45 Succeeded, w=183\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 4, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=45 Failed, w=183\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=53 Failed, w=183\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(0)=0, Find(6)=3, Add (0,6)=55 Succeeded, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=66 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=79 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=80 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=85 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=88 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=90 Failed, w=238\",\"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)=93 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,2],[0,4,2],[0,5,94],[1,2,79],[2,3,73],[2,5,74],[3,5,93],[4,6,70]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,4,2],[0,5,94],[1,2,79],[2,3,73],[2,5,74],[3,5,93],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":300}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,4,2],[0,5,94],[1,2,79],[2,3,73],[2,5,74],[3,5,93],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (1,2)\"],\"Answer\":300}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,4,2],[0,5,94],[1,2,79],[2,3,73],[2,5,74],[3,5,93],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (0,4)=2, w=4\",\"Add (4,6)=70, w=74\",\"Add (2,3)=73, w=147\",\"Add (2,5)=74, w=221\",\"Add (1,2)=79, w=300\"],\"Answer\":300}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,4,2],[0,5,94],[1,2,79],[2,3,73],[2,5,74],[3,5,93],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,4)=2 Succeeded, w=4\",\"Add (4,6)=70 Succeeded, w=74\",\"Add (2,3)=73 Succeeded, w=147\",\"Add (2,5)=74 Succeeded, w=221\",\"Add (1,2)=79 Succeeded, w=300\",\"Add (3,5)=93 Failed, w=300\",\"Add (0,5)=94 Failed, w=300\"],\"Answer\":300}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,4,2],[0,5,94],[1,2,79],[2,3,73],[2,5,74],[3,5,93],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,4)=2,(4,6)=70,(2,3)=73,(2,5)=74,(1,2)=79,(3,5)=93,(0,5)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=4\",\"Find(4)=0, Find(6)=6, Add (4,6)=70 Succeeded, w=74\",\"Find(2)=2, Find(3)=3, Add (2,3)=73 Succeeded, w=147\",\"Find(2)=2, Find(5)=5, Add (2,5)=74 Succeeded, w=221\",\"Find(1)=0, Find(2)=2, Add (1,2)=79 Succeeded, w=300\",\"Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=300\",\"Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=300\"],\"Answer\":300}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,4,2],[0,5,94],[1,2,79],[2,3,73],[2,5,74],[3,5,93],[4,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(0,4)=2,(4,6)=70,(2,3)=73,(2,5)=74,(1,2)=79,(3,5)=93,(0,5)=94]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=70 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 5, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=73 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 2, 6: 0}, Find(2)=2, Find(5)=5, Add (2,5)=74 Succeeded, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2, 6: 0}, Find(1)=0, Find(2)=2, Add (1,2)=79 Succeeded, w=300\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=300\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=300\"],\"Answer\":300}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,90],[0,2,10],[0,5,11],[1,2,94],[1,3,88],[1,4,61],[1,5,95],[1,6,53],[2,4,76],[2,5,40],[2,6,36],[3,5,2],[3,6,44],[4,6,55],[5,6,71]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,10],[0,5,11],[1,2,94],[1,3,88],[1,4,61],[1,5,95],[1,6,53],[2,4,76],[2,5,40],[2,6,36],[3,5,2],[3,6,44],[4,6,55],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,10],[0,5,11],[1,2,94],[1,3,88],[1,4,61],[1,5,95],[1,6,53],[2,4,76],[2,5,40],[2,6,36],[3,5,2],[3,6,44],[4,6,55],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (4,6)\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,10],[0,5,11],[1,2,94],[1,3,88],[1,4,61],[1,5,95],[1,6,53],[2,4,76],[2,5,40],[2,6,36],[3,5,2],[3,6,44],[4,6,55],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (0,2)=10, w=12\",\"Add (0,5)=11, w=23\",\"Add (2,6)=36, w=59\",\"Add (1,6)=53, w=112\",\"Add (4,6)=55, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,10],[0,5,11],[1,2,94],[1,3,88],[1,4,61],[1,5,95],[1,6,53],[2,4,76],[2,5,40],[2,6,36],[3,5,2],[3,6,44],[4,6,55],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (0,2)=10 Succeeded, w=12\",\"Add (0,5)=11 Succeeded, w=23\",\"Add (2,6)=36 Succeeded, w=59\",\"Add (2,5)=40 Failed, w=59\",\"Add (3,6)=44 Failed, w=59\",\"Add (1,6)=53 Succeeded, w=112\",\"Add (4,6)=55 Succeeded, w=167\",\"Add (1,4)=61 Failed, w=167\",\"Add (5,6)=71 Failed, w=167\",\"Add (2,4)=76 Failed, w=167\",\"Add (1,3)=88 Failed, w=167\",\"Add (0,1)=90 Failed, w=167\",\"Add (1,2)=94 Failed, w=167\",\"Add (1,5)=95 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,10],[0,5,11],[1,2,94],[1,3,88],[1,4,61],[1,5,95],[1,6,53],[2,4,76],[2,5,40],[2,6,36],[3,5,2],[3,6,44],[4,6,55],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,2)=10,(0,5)=11,(2,6)=36,(2,5)=40,(3,6)=44,(1,6)=53,(4,6)=55,(1,4)=61,(5,6)=71,(2,4)=76,(1,3)=88,(0,1)=90,(1,2)=94,(1,5)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=12\",\"Find(0)=0, Find(5)=3, Add (0,5)=11 Succeeded, w=23\",\"Find(2)=0, Find(6)=6, Add (2,6)=36 Succeeded, w=59\",\"Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=59\",\"Find(3)=0, Find(6)=0, Add (3,6)=44 Failed, w=59\",\"Find(1)=1, Find(6)=0, Add (1,6)=53 Succeeded, w=112\",\"Find(4)=4, Find(6)=0, Add (4,6)=55 Succeeded, w=167\",\"Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=167\",\"Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=167\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=167\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=167\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=167\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=167\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,10],[0,5,11],[1,2,94],[1,3,88],[1,4,61],[1,5,95],[1,6,53],[2,4,76],[2,5,40],[2,6,36],[3,5,2],[3,6,44],[4,6,55],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(0,2)=10,(0,5)=11,(2,6)=36,(2,5)=40,(3,6)=44,(1,6)=53,(4,6)=55,(1,4)=61,(5,6)=71,(2,4)=76,(1,3)=88,(0,1)=90,(1,2)=94,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(5)=3, Add (0,5)=11 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=36 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=44 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=53 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=55 Succeeded, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=61 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,8],[1,2,14],[1,3,99],[3,4,42]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,8],[1,2,14],[1,3,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,8],[1,2,14],[1,3,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,8],[1,2,14],[1,3,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (1,2)=14, w=22\",\"Add (3,4)=42, w=64\",\"Add (1,3)=99, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,8],[1,2,14],[1,3,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (1,2)=14 Succeeded, w=22\",\"Add (3,4)=42 Succeeded, w=64\",\"Add (1,3)=99 Succeeded, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,8],[1,2,14],[1,3,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,2)=14,(3,4)=42,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=22\",\"Find(3)=0, Find(4)=4, Add (3,4)=42 Succeeded, w=64\",\"Find(1)=1, Find(3)=0, Add (1,3)=99 Succeeded, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,8],[1,2,14],[1,3,99],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,2)=14,(3,4)=42,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=42 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=99 Succeeded, w=163\"],\"Answer\":163}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,2,73],[0,3,59],[0,4,49],[0,5,66],[1,2,32],[1,3,8],[1,4,72],[1,5,63],[2,3,24],[2,4,42],[2,5,6],[3,4,12],[3,5,22],[4,5,8]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,73],[0,3,59],[0,4,49],[0,5,66],[1,2,32],[1,3,8],[1,4,72],[1,5,63],[2,3,24],[2,4,42],[2,5,6],[3,4,12],[3,5,22],[4,5,8]]}",
"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],\"edges\":[[0,1,48],[0,2,73],[0,3,59],[0,4,49],[0,5,66],[1,2,32],[1,3,8],[1,4,72],[1,5,63],[2,3,24],[2,4,42],[2,5,6],[3,4,12],[3,5,22],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,73],[0,3,59],[0,4,49],[0,5,66],[1,2,32],[1,3,8],[1,4,72],[1,5,63],[2,3,24],[2,4,42],[2,5,6],[3,4,12],[3,5,22],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6, w=6\",\"Add (1,3)=8, w=14\",\"Add (4,5)=8, w=22\",\"Add (3,4)=12, w=34\",\"Add (0,1)=48, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,73],[0,3,59],[0,4,49],[0,5,66],[1,2,32],[1,3,8],[1,4,72],[1,5,63],[2,3,24],[2,4,42],[2,5,6],[3,4,12],[3,5,22],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6 Succeeded, w=6\",\"Add (1,3)=8 Succeeded, w=14\",\"Add (4,5)=8 Succeeded, w=22\",\"Add (3,4)=12 Succeeded, w=34\",\"Add (3,5)=22 Failed, w=34\",\"Add (2,3)=24 Failed, w=34\",\"Add (1,2)=32 Failed, w=34\",\"Add (2,4)=42 Failed, w=34\",\"Add (0,1)=48 Succeeded, w=82\",\"Add (0,4)=49 Failed, w=82\",\"Add (0,3)=59 Failed, w=82\",\"Add (1,5)=63 Failed, w=82\",\"Add (0,5)=66 Failed, w=82\",\"Add (1,4)=72 Failed, w=82\",\"Add (0,2)=73 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],\"edges\":[[0,1,48],[0,2,73],[0,3,59],[0,4,49],[0,5,66],[1,2,32],[1,3,8],[1,4,72],[1,5,63],[2,3,24],[2,4,42],[2,5,6],[3,4,12],[3,5,22],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(1,3)=8,(4,5)=8,(3,4)=12,(3,5)=22,(2,3)=24,(1,2)=32,(2,4)=42,(0,1)=48,(0,4)=49,(0,3)=59,(1,5)=63,(0,5)=66,(1,4)=72,(0,2)=73]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=14\",\"Find(4)=4, Find(5)=2, Add (4,5)=8 Succeeded, w=22\",\"Find(3)=1, Find(4)=2, Add (3,4)=12 Succeeded, w=34\",\"Find(3)=1, Find(5)=1, Add (3,5)=22 Failed, w=34\",\"Find(2)=1, Find(3)=1, Add (2,3)=24 Failed, w=34\",\"Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=34\",\"Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=82\",\"Find(0)=1, Find(4)=1, Add (0,4)=49 Failed, w=82\",\"Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=82\",\"Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=82\",\"Find(0)=1, Find(5)=1, Add (0,5)=66 Failed, w=82\",\"Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=82\",\"Find(0)=1, Find(2)=1, Add (0,2)=73 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],\"edges\":[[0,1,48],[0,2,73],[0,3,59],[0,4,49],[0,5,66],[1,2,32],[1,3,8],[1,4,72],[1,5,63],[2,3,24],[2,4,42],[2,5,6],[3,4,12],[3,5,22],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(1,3)=8,(4,5)=8,(3,4)=12,(3,5)=22,(2,3)=24,(1,2)=32,(2,4)=42,(0,1)=48,(0,4)=49,(0,3)=59,(1,5)=63,(0,5)=66,(1,4)=72,(0,2)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=8 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(3)=1, Find(4)=2, Add (3,4)=12 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=22 Failed, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=24 Failed, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=49 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=66 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=72 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,2,74],[0,3,46],[0,4,97],[1,2,1],[1,4,85],[2,3,21],[2,4,71],[3,4,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,74],[0,3,46],[0,4,97],[1,2,1],[1,4,85],[2,3,21],[2,4,71],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,74],[0,3,46],[0,4,97],[1,2,1],[1,4,85],[2,3,21],[2,4,71],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,74],[0,3,46],[0,4,97],[1,2,1],[1,4,85],[2,3,21],[2,4,71],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (2,3)=21, w=22\",\"Add (0,3)=46, w=68\",\"Add (3,4)=69, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,74],[0,3,46],[0,4,97],[1,2,1],[1,4,85],[2,3,21],[2,4,71],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (2,3)=21 Succeeded, w=22\",\"Add (0,3)=46 Succeeded, w=68\",\"Add (3,4)=69 Succeeded, w=137\",\"Add (2,4)=71 Failed, w=137\",\"Add (0,2)=74 Failed, w=137\",\"Add (0,1)=79 Failed, w=137\",\"Add (1,4)=85 Failed, w=137\",\"Add (0,4)=97 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,74],[0,3,46],[0,4,97],[1,2,1],[1,4,85],[2,3,21],[2,4,71],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(2,3)=21,(0,3)=46,(3,4)=69,(2,4)=71,(0,2)=74,(0,1)=79,(1,4)=85,(0,4)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(2)=1, Find(3)=3, Add (2,3)=21 Succeeded, w=22\",\"Find(0)=0, Find(3)=1, Add (0,3)=46 Succeeded, w=68\",\"Find(3)=1, Find(4)=4, Add (3,4)=69 Succeeded, w=137\",\"Find(2)=1, Find(4)=1, Add (2,4)=71 Failed, w=137\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=137\",\"Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=137\",\"Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=137\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,74],[0,3,46],[0,4,97],[1,2,1],[1,4,85],[2,3,21],[2,4,71],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(2,3)=21,(0,3)=46,(3,4)=69,(2,4)=71,(0,2)=74,(0,1)=79,(1,4)=85,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=21 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=46 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=69 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=71 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=85 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[0,2,59],[0,3,2],[1,2,78],[1,3,1],[2,3,93]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,59],[0,3,2],[1,2,78],[1,3,1],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,59],[0,3,2],[1,2,78],[1,3,1],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,59],[0,3,2],[1,2,78],[1,3,1],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (0,3)=2, w=3\",\"Add (0,2)=59, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,59],[0,3,2],[1,2,78],[1,3,1],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (0,3)=2 Succeeded, w=3\",\"Add (0,2)=59 Succeeded, w=62\",\"Add (0,1)=70 Failed, w=62\",\"Add (1,2)=78 Failed, w=62\",\"Add (2,3)=93 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,59],[0,3,2],[1,2,78],[1,3,1],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,3)=2,(0,2)=59,(0,1)=70,(1,2)=78,(2,3)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=1, Add (0,3)=2 Succeeded, w=3\",\"Find(0)=1, Find(2)=2, Add (0,2)=59 Succeeded, w=62\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=62\",\"Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=62\",\"Find(2)=1, Find(3)=1, Add (2,3)=93 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,59],[0,3,2],[1,2,78],[1,3,1],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,3)=2,(0,2)=59,(0,1)=70,(1,2)=78,(2,3)=93]\",\"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)=2 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=59 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=93 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,18],[0,3,16],[0,4,84],[0,5,99],[0,6,68],[1,2,20],[1,5,50],[2,3,46],[3,4,70],[3,6,25],[4,5,60],[4,6,48],[5,6,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,16],[0,4,84],[0,5,99],[0,6,68],[1,2,20],[1,5,50],[2,3,46],[3,4,70],[3,6,25],[4,5,60],[4,6,48],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,16],[0,4,84],[0,5,99],[0,6,68],[1,2,20],[1,5,50],[2,3,46],[3,4,70],[3,6,25],[4,5,60],[4,6,48],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (4,6)\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,16],[0,4,84],[0,5,99],[0,6,68],[1,2,20],[1,5,50],[2,3,46],[3,4,70],[3,6,25],[4,5,60],[4,6,48],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16, w=16\",\"Add (0,2)=18, w=34\",\"Add (1,2)=20, w=54\",\"Add (3,6)=25, w=79\",\"Add (5,6)=38, w=117\",\"Add (4,6)=48, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,16],[0,4,84],[0,5,99],[0,6,68],[1,2,20],[1,5,50],[2,3,46],[3,4,70],[3,6,25],[4,5,60],[4,6,48],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16 Succeeded, w=16\",\"Add (0,2)=18 Succeeded, w=34\",\"Add (1,2)=20 Succeeded, w=54\",\"Add (3,6)=25 Succeeded, w=79\",\"Add (5,6)=38 Succeeded, w=117\",\"Add (2,3)=46 Failed, w=117\",\"Add (4,6)=48 Succeeded, w=165\",\"Add (1,5)=50 Failed, w=165\",\"Add (4,5)=60 Failed, w=165\",\"Add (0,6)=68 Failed, w=165\",\"Add (3,4)=70 Failed, w=165\",\"Add (0,4)=84 Failed, w=165\",\"Add (0,5)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,16],[0,4,84],[0,5,99],[0,6,68],[1,2,20],[1,5,50],[2,3,46],[3,4,70],[3,6,25],[4,5,60],[4,6,48],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(0,2)=18,(1,2)=20,(3,6)=25,(5,6)=38,(2,3)=46,(4,6)=48,(1,5)=50,(4,5)=60,(0,6)=68,(3,4)=70,(0,4)=84,(0,5)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=34\",\"Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=54\",\"Find(3)=0, Find(6)=6, Add (3,6)=25 Succeeded, w=79\",\"Find(5)=5, Find(6)=0, Add (5,6)=38 Succeeded, w=117\",\"Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=117\",\"Find(4)=4, Find(6)=0, Add (4,6)=48 Succeeded, w=165\",\"Find(1)=0, Find(5)=0, Add (1,5)=50 Failed, w=165\",\"Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=165\",\"Find(0)=0, Find(6)=0, Add (0,6)=68 Failed, w=165\",\"Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=165\",\"Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=165\",\"Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,3,16],[0,4,84],[0,5,99],[0,6,68],[1,2,20],[1,5,50],[2,3,46],[3,4,70],[3,6,25],[4,5,60],[4,6,48],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(0,2)=18,(1,2)=20,(3,6)=25,(5,6)=38,(2,3)=46,(4,6)=48,(1,5)=50,(4,5)=60,(0,6)=68,(3,4)=70,(0,4)=84,(0,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=20 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=25 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=38 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=48 Succeeded, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=50 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=68 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=84 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,67],[0,2,63],[0,4,39],[1,4,12],[2,4,79],[2,5,17],[3,4,2],[3,5,16],[4,5,21]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,63],[0,4,39],[1,4,12],[2,4,79],[2,5,17],[3,4,2],[3,5,16],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,63],[0,4,39],[1,4,12],[2,4,79],[2,5,17],[3,4,2],[3,5,16],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (0,4)\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,63],[0,4,39],[1,4,12],[2,4,79],[2,5,17],[3,4,2],[3,5,16],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (1,4)=12, w=14\",\"Add (3,5)=16, w=30\",\"Add (2,5)=17, w=47\",\"Add (0,4)=39, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,63],[0,4,39],[1,4,12],[2,4,79],[2,5,17],[3,4,2],[3,5,16],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (1,4)=12 Succeeded, w=14\",\"Add (3,5)=16 Succeeded, w=30\",\"Add (2,5)=17 Succeeded, w=47\",\"Add (4,5)=21 Failed, w=47\",\"Add (0,4)=39 Succeeded, w=86\",\"Add (0,2)=63 Failed, w=86\",\"Add (0,1)=67 Failed, w=86\",\"Add (2,4)=79 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,63],[0,4,39],[1,4,12],[2,4,79],[2,5,17],[3,4,2],[3,5,16],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(1,4)=12,(3,5)=16,(2,5)=17,(4,5)=21,(0,4)=39,(0,2)=63,(0,1)=67,(2,4)=79]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=3, Add (1,4)=12 Succeeded, w=14\",\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=30\",\"Find(2)=2, Find(5)=3, Add (2,5)=17 Succeeded, w=47\",\"Find(4)=3, Find(5)=3, Add (4,5)=21 Failed, w=47\",\"Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=86\",\"Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=86\",\"Find(0)=3, Find(1)=3, Add (0,1)=67 Failed, w=86\",\"Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,63],[0,4,39],[1,4,12],[2,4,79],[2,5,17],[3,4,2],[3,5,16],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(1,4)=12,(3,5)=16,(2,5)=17,(4,5)=21,(0,4)=39,(0,2)=63,(0,1)=67,(2,4)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(4)=3, Add (1,4)=12 Succeeded, w=14\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=30\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=17 Succeeded, w=47\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=21 Failed, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=63 Failed, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=67 Failed, w=86\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=79 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,2,48],[0,3,12],[0,4,47],[0,5,91],[1,3,73],[1,4,62],[1,5,72],[2,3,36],[2,4,64],[2,5,2],[3,4,78],[3,5,96],[4,5,36]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,48],[0,3,12],[0,4,47],[0,5,91],[1,3,73],[1,4,62],[1,5,72],[2,3,36],[2,4,64],[2,5,2],[3,4,78],[3,5,96],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,48],[0,3,12],[0,4,47],[0,5,91],[1,3,73],[1,4,62],[1,5,72],[2,3,36],[2,4,64],[2,5,2],[3,4,78],[3,5,96],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (1,4)\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,48],[0,3,12],[0,4,47],[0,5,91],[1,3,73],[1,4,62],[1,5,72],[2,3,36],[2,4,64],[2,5,2],[3,4,78],[3,5,96],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (0,3)=12, w=14\",\"Add (2,3)=36, w=50\",\"Add (4,5)=36, w=86\",\"Add (1,4)=62, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,48],[0,3,12],[0,4,47],[0,5,91],[1,3,73],[1,4,62],[1,5,72],[2,3,36],[2,4,64],[2,5,2],[3,4,78],[3,5,96],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (0,3)=12 Succeeded, w=14\",\"Add (2,3)=36 Succeeded, w=50\",\"Add (4,5)=36 Succeeded, w=86\",\"Add (0,4)=47 Failed, w=86\",\"Add (0,2)=48 Failed, w=86\",\"Add (1,4)=62 Succeeded, w=148\",\"Add (2,4)=64 Failed, w=148\",\"Add (0,1)=72 Failed, w=148\",\"Add (1,5)=72 Failed, w=148\",\"Add (1,3)=73 Failed, w=148\",\"Add (3,4)=78 Failed, w=148\",\"Add (0,5)=91 Failed, w=148\",\"Add (3,5)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,48],[0,3,12],[0,4,47],[0,5,91],[1,3,73],[1,4,62],[1,5,72],[2,3,36],[2,4,64],[2,5,2],[3,4,78],[3,5,96],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(0,3)=12,(2,3)=36,(4,5)=36,(0,4)=47,(0,2)=48,(1,4)=62,(2,4)=64,(0,1)=72,(1,5)=72,(1,3)=73,(3,4)=78,(0,5)=91,(3,5)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=14\",\"Find(2)=2, Find(3)=0, Add (2,3)=36 Succeeded, w=50\",\"Find(4)=4, Find(5)=2, Add (4,5)=36 Succeeded, w=86\",\"Find(0)=2, Find(4)=2, Add (0,4)=47 Failed, w=86\",\"Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=86\",\"Find(1)=1, Find(4)=2, Add (1,4)=62 Succeeded, w=148\",\"Find(2)=2, Find(4)=2, Add (2,4)=64 Failed, w=148\",\"Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=148\",\"Find(1)=2, Find(5)=2, Add (1,5)=72 Failed, w=148\",\"Find(1)=2, Find(3)=2, Add (1,3)=73 Failed, w=148\",\"Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=148\",\"Find(0)=2, Find(5)=2, Add (0,5)=91 Failed, w=148\",\"Find(3)=2, Find(5)=2, Add (3,5)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,48],[0,3,12],[0,4,47],[0,5,91],[1,3,73],[1,4,62],[1,5,72],[2,3,36],[2,4,64],[2,5,2],[3,4,78],[3,5,96],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(0,3)=12,(2,3)=36,(4,5)=36,(0,4)=47,(0,2)=48,(1,4)=62,(2,4)=64,(0,1)=72,(1,5)=72,(1,3)=73,(3,4)=78,(0,5)=91,(3,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2}, Find(2)=2, Find(3)=0, Add (2,3)=36 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=36 Succeeded, w=86\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=47 Failed, w=86\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=62 Succeeded, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=64 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=72 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=73 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=91 Failed, w=148\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=96 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,38],[0,4,85],[0,6,80],[1,2,26],[1,4,66],[1,5,96],[1,6,74],[1,7,61],[2,4,30],[3,4,18],[3,5,28],[3,6,0],[4,6,3],[4,7,72],[5,6,44],[5,7,10],[6,7,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,38],[0,4,85],[0,6,80],[1,2,26],[1,4,66],[1,5,96],[1,6,74],[1,7,61],[2,4,30],[3,4,18],[3,5,28],[3,6,0],[4,6,3],[4,7,72],[5,6,44],[5,7,10],[6,7,63]]}",
"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\":[[0,3,38],[0,4,85],[0,6,80],[1,2,26],[1,4,66],[1,5,96],[1,6,74],[1,7,61],[2,4,30],[3,4,18],[3,5,28],[3,6,0],[4,6,3],[4,7,72],[5,6,44],[5,7,10],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (4,6)\",\"Add (5,7)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,3)\"],\"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\":[[0,3,38],[0,4,85],[0,6,80],[1,2,26],[1,4,66],[1,5,96],[1,6,74],[1,7,61],[2,4,30],[3,4,18],[3,5,28],[3,6,0],[4,6,3],[4,7,72],[5,6,44],[5,7,10],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (4,6)=3, w=3\",\"Add (5,7)=10, w=13\",\"Add (1,2)=26, w=39\",\"Add (3,5)=28, w=67\",\"Add (2,4)=30, w=97\",\"Add (0,3)=38, 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\":[[0,3,38],[0,4,85],[0,6,80],[1,2,26],[1,4,66],[1,5,96],[1,6,74],[1,7,61],[2,4,30],[3,4,18],[3,5,28],[3,6,0],[4,6,3],[4,7,72],[5,6,44],[5,7,10],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (4,6)=3 Succeeded, w=3\",\"Add (5,7)=10 Succeeded, w=13\",\"Add (3,4)=18 Failed, w=13\",\"Add (1,2)=26 Succeeded, w=39\",\"Add (3,5)=28 Succeeded, w=67\",\"Add (2,4)=30 Succeeded, w=97\",\"Add (0,3)=38 Succeeded, w=135\",\"Add (5,6)=44 Failed, w=135\",\"Add (1,7)=61 Failed, w=135\",\"Add (6,7)=63 Failed, w=135\",\"Add (1,4)=66 Failed, w=135\",\"Add (4,7)=72 Failed, w=135\",\"Add (1,6)=74 Failed, w=135\",\"Add (0,6)=80 Failed, w=135\",\"Add (0,4)=85 Failed, w=135\",\"Add (1,5)=96 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\":[[0,3,38],[0,4,85],[0,6,80],[1,2,26],[1,4,66],[1,5,96],[1,6,74],[1,7,61],[2,4,30],[3,4,18],[3,5,28],[3,6,0],[4,6,3],[4,7,72],[5,6,44],[5,7,10],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(4,6)=3,(5,7)=10,(3,4)=18,(1,2)=26,(3,5)=28,(2,4)=30,(0,3)=38,(5,6)=44,(1,7)=61,(6,7)=63,(1,4)=66,(4,7)=72,(1,6)=74,(0,6)=80,(0,4)=85,(1,5)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=3, Add (4,6)=3 Succeeded, w=3\",\"Find(5)=5, Find(7)=7, Add (5,7)=10 Succeeded, w=13\",\"Find(3)=3, Find(4)=3, Add (3,4)=18 Failed, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=39\",\"Find(3)=3, Find(5)=5, Add (3,5)=28 Succeeded, w=67\",\"Find(2)=1, Find(4)=3, Add (2,4)=30 Succeeded, w=97\",\"Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=135\",\"Find(5)=3, Find(6)=3, Add (5,6)=44 Failed, w=135\",\"Find(1)=3, Find(7)=3, Add (1,7)=61 Failed, w=135\",\"Find(6)=3, Find(7)=3, Add (6,7)=63 Failed, w=135\",\"Find(1)=3, Find(4)=3, Add (1,4)=66 Failed, w=135\",\"Find(4)=3, Find(7)=3, Add (4,7)=72 Failed, w=135\",\"Find(1)=3, Find(6)=3, Add (1,6)=74 Failed, w=135\",\"Find(0)=3, Find(6)=3, Add (0,6)=80 Failed, w=135\",\"Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=135\",\"Find(1)=3, Find(5)=3, Add (1,5)=96 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\":[[0,3,38],[0,4,85],[0,6,80],[1,2,26],[1,4,66],[1,5,96],[1,6,74],[1,7,61],[2,4,30],[3,4,18],[3,5,28],[3,6,0],[4,6,3],[4,7,72],[5,6,44],[5,7,10],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(4,6)=3,(5,7)=10,(3,4)=18,(1,2)=26,(3,5)=28,(2,4)=30,(0,3)=38,(5,6)=44,(1,7)=61,(6,7)=63,(1,4)=66,(4,7)=72,(1,6)=74,(0,6)=80,(0,4)=85,(1,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(4)=4, Find(6)=3, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(3)=3, Find(4)=3, Add (3,4)=18 Failed, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 3, 7: 5}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(3)=3, Find(5)=5, Add (3,5)=28 Succeeded, w=67\",\"Parent: {0: 0, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(2)=1, Find(4)=3, Add (2,4)=30 Succeeded, w=97\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=135\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(5)=3, Find(6)=3, Add (5,6)=44 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=61 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=63 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=66 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=72 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=74 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=80 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=135\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,68],[0,2,93],[0,3,91],[1,2,75],[1,3,33],[2,3,13]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,93],[0,3,91],[1,2,75],[1,3,33],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,93],[0,3,91],[1,2,75],[1,3,33],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,93],[0,3,91],[1,2,75],[1,3,33],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (1,3)=33, w=46\",\"Add (0,1)=68, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,93],[0,3,91],[1,2,75],[1,3,33],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (1,3)=33 Succeeded, w=46\",\"Add (0,1)=68 Succeeded, w=114\",\"Add (1,2)=75 Failed, w=114\",\"Add (0,3)=91 Failed, w=114\",\"Add (0,2)=93 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,93],[0,3,91],[1,2,75],[1,3,33],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,3)=33,(0,1)=68,(1,2)=75,(0,3)=91,(0,2)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=46\",\"Find(0)=0, Find(1)=2, Add (0,1)=68 Succeeded, w=114\",\"Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=114\",\"Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=114\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,68],[0,2,93],[0,3,91],[1,2,75],[1,3,33],[2,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,3)=33,(0,1)=68,(1,2)=75,(0,3)=91,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=33 Succeeded, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=68 Succeeded, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,49],[0,3,5],[1,3,66]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,5],[1,3,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,5],[1,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,5],[1,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (0,2)=49, w=54\",\"Add (1,3)=66, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,5],[1,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (0,2)=49 Succeeded, w=54\",\"Add (1,3)=66 Succeeded, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,5],[1,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(0,2)=49,(1,3)=66]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=54\",\"Find(1)=1, Find(3)=0, Add (1,3)=66 Succeeded, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,49],[0,3,5],[1,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(0,2)=49,(1,3)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=66 Succeeded, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,1],[0,2,57],[0,3,12],[2,3,77]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,57],[0,3,12],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,57],[0,3,12],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,57],[0,3,12],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (0,3)=12, w=13\",\"Add (0,2)=57, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,57],[0,3,12],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (0,3)=12 Succeeded, w=13\",\"Add (0,2)=57 Succeeded, w=70\",\"Add (2,3)=77 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,57],[0,3,12],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,3)=12,(0,2)=57,(2,3)=77]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=13\",\"Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=70\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,57],[0,3,12],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(0,3)=12,(0,2)=57,(2,3)=77]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,82],[1,2,5],[1,4,36],[1,5,96],[2,4,66],[3,4,75],[3,5,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,82],[1,2,5],[1,4,36],[1,5,96],[2,4,66],[3,4,75],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":281}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,82],[1,2,5],[1,4,36],[1,5,96],[2,4,66],[3,4,75],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":281}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,82],[1,2,5],[1,4,36],[1,5,96],[2,4,66],[3,4,75],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (1,4)=36, w=41\",\"Add (3,4)=75, w=116\",\"Add (0,3)=82, w=198\",\"Add (3,5)=83, w=281\"],\"Answer\":281}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,82],[1,2,5],[1,4,36],[1,5,96],[2,4,66],[3,4,75],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (1,4)=36 Succeeded, w=41\",\"Add (2,4)=66 Failed, w=41\",\"Add (3,4)=75 Succeeded, w=116\",\"Add (0,3)=82 Succeeded, w=198\",\"Add (3,5)=83 Succeeded, w=281\",\"Add (1,5)=96 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,82],[1,2,5],[1,4,36],[1,5,96],[2,4,66],[3,4,75],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(1,4)=36,(2,4)=66,(3,4)=75,(0,3)=82,(3,5)=83,(1,5)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=41\",\"Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=41\",\"Find(3)=3, Find(4)=1, Add (3,4)=75 Succeeded, w=116\",\"Find(0)=0, Find(3)=1, Add (0,3)=82 Succeeded, w=198\",\"Find(3)=1, Find(5)=5, Add (3,5)=83 Succeeded, w=281\",\"Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,82],[1,2,5],[1,4,36],[1,5,96],[2,4,66],[3,4,75],[3,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(1,4)=36,(2,4)=66,(3,4)=75,(0,3)=82,(3,5)=83,(1,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=41\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=75 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=82 Succeeded, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=83 Succeeded, w=281\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,65],[0,2,29],[0,3,51],[1,2,84],[1,3,97],[2,3,75]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,29],[0,3,51],[1,2,84],[1,3,97],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,29],[0,3,51],[1,2,84],[1,3,97],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,29],[0,3,51],[1,2,84],[1,3,97],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=29, w=29\",\"Add (0,3)=51, w=80\",\"Add (0,1)=65, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,29],[0,3,51],[1,2,84],[1,3,97],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=29 Succeeded, w=29\",\"Add (0,3)=51 Succeeded, w=80\",\"Add (0,1)=65 Succeeded, w=145\",\"Add (2,3)=75 Failed, w=145\",\"Add (1,2)=84 Failed, w=145\",\"Add (1,3)=97 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,29],[0,3,51],[1,2,84],[1,3,97],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=29,(0,3)=51,(0,1)=65,(2,3)=75,(1,2)=84,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=29\",\"Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=80\",\"Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=145\",\"Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=145\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,2,29],[0,3,51],[1,2,84],[1,3,97],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=29,(0,3)=51,(0,1)=65,(2,3)=75,(1,2)=84,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=51 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,21],[0,2,6],[0,3,79],[1,3,7],[2,3,32]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,6],[0,3,79],[1,3,7],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":34}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,6],[0,3,79],[1,3,7],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":34}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,6],[0,3,79],[1,3,7],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (1,3)=7, w=13\",\"Add (0,1)=21, w=34\"],\"Answer\":34}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,6],[0,3,79],[1,3,7],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (1,3)=7 Succeeded, w=13\",\"Add (0,1)=21 Succeeded, w=34\",\"Add (2,3)=32 Failed, w=34\",\"Add (0,3)=79 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,6],[0,3,79],[1,3,7],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,3)=7,(0,1)=21,(2,3)=32,(0,3)=79]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=34\",\"Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=34\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,6],[0,3,79],[1,3,7],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,3)=7,(0,1)=21,(2,3)=32,(0,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=32 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,70],[0,2,90],[0,3,51],[0,4,84],[0,5,64],[1,3,10],[1,4,62],[1,5,59],[2,3,85],[2,4,95],[2,5,33],[3,4,90],[3,5,46],[4,5,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,90],[0,3,51],[0,4,84],[0,5,64],[1,3,10],[1,4,62],[1,5,59],[2,3,85],[2,4,95],[2,5,33],[3,4,90],[3,5,46],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,90],[0,3,51],[0,4,84],[0,5,64],[1,3,10],[1,4,62],[1,5,59],[2,3,85],[2,4,95],[2,5,33],[3,4,90],[3,5,46],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (0,3)\"],\"Answer\":178}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,90],[0,3,51],[0,4,84],[0,5,64],[1,3,10],[1,4,62],[1,5,59],[2,3,85],[2,4,95],[2,5,33],[3,4,90],[3,5,46],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (2,5)=33, w=43\",\"Add (4,5)=38, w=81\",\"Add (3,5)=46, w=127\",\"Add (0,3)=51, w=178\"],\"Answer\":178}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,90],[0,3,51],[0,4,84],[0,5,64],[1,3,10],[1,4,62],[1,5,59],[2,3,85],[2,4,95],[2,5,33],[3,4,90],[3,5,46],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (2,5)=33 Succeeded, w=43\",\"Add (4,5)=38 Succeeded, w=81\",\"Add (3,5)=46 Succeeded, w=127\",\"Add (0,3)=51 Succeeded, w=178\",\"Add (1,5)=59 Failed, w=178\",\"Add (1,4)=62 Failed, w=178\",\"Add (0,5)=64 Failed, w=178\",\"Add (0,1)=70 Failed, w=178\",\"Add (0,4)=84 Failed, w=178\",\"Add (2,3)=85 Failed, w=178\",\"Add (0,2)=90 Failed, w=178\",\"Add (3,4)=90 Failed, w=178\",\"Add (2,4)=95 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,90],[0,3,51],[0,4,84],[0,5,64],[1,3,10],[1,4,62],[1,5,59],[2,3,85],[2,4,95],[2,5,33],[3,4,90],[3,5,46],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(2,5)=33,(4,5)=38,(3,5)=46,(0,3)=51,(1,5)=59,(1,4)=62,(0,5)=64,(0,1)=70,(0,4)=84,(2,3)=85,(0,2)=90,(3,4)=90,(2,4)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(2)=2, Find(5)=5, Add (2,5)=33 Succeeded, w=43\",\"Find(4)=4, Find(5)=2, Add (4,5)=38 Succeeded, w=81\",\"Find(3)=1, Find(5)=2, Add (3,5)=46 Succeeded, w=127\",\"Find(0)=0, Find(3)=1, Add (0,3)=51 Succeeded, w=178\",\"Find(1)=1, Find(5)=1, Add (1,5)=59 Failed, w=178\",\"Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=178\",\"Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=178\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=178\",\"Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=178\",\"Find(2)=1, Find(3)=1, Add (2,3)=85 Failed, w=178\",\"Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=178\",\"Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=178\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,90],[0,3,51],[0,4,84],[0,5,64],[1,3,10],[1,4,62],[1,5,59],[2,3,85],[2,4,95],[2,5,33],[3,4,90],[3,5,46],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(2,5)=33,(4,5)=38,(3,5)=46,(0,3)=51,(1,5)=59,(1,4)=62,(0,5)=64,(0,1)=70,(0,4)=84,(2,3)=85,(0,2)=90,(3,4)=90,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=33 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=38 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(3)=1, Find(5)=2, Add (3,5)=46 Succeeded, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(0)=0, Find(3)=1, Add (0,3)=51 Succeeded, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=59 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=85 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,90],[0,2,41],[0,4,42],[1,2,22],[1,3,49],[1,4,62],[2,3,75],[2,4,63],[3,4,33]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,41],[0,4,42],[1,2,22],[1,3,49],[1,4,62],[2,3,75],[2,4,63],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,41],[0,4,42],[1,2,22],[1,3,49],[1,4,62],[2,3,75],[2,4,63],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,41],[0,4,42],[1,2,22],[1,3,49],[1,4,62],[2,3,75],[2,4,63],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22, w=22\",\"Add (3,4)=33, w=55\",\"Add (0,2)=41, w=96\",\"Add (0,4)=42, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,41],[0,4,42],[1,2,22],[1,3,49],[1,4,62],[2,3,75],[2,4,63],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22 Succeeded, w=22\",\"Add (3,4)=33 Succeeded, w=55\",\"Add (0,2)=41 Succeeded, w=96\",\"Add (0,4)=42 Succeeded, w=138\",\"Add (1,3)=49 Failed, w=138\",\"Add (1,4)=62 Failed, w=138\",\"Add (2,4)=63 Failed, w=138\",\"Add (2,3)=75 Failed, w=138\",\"Add (0,1)=90 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,41],[0,4,42],[1,2,22],[1,3,49],[1,4,62],[2,3,75],[2,4,63],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(3,4)=33,(0,2)=41,(0,4)=42,(1,3)=49,(1,4)=62,(2,4)=63,(2,3)=75,(0,1)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=55\",\"Find(0)=0, Find(2)=1, Add (0,2)=41 Succeeded, w=96\",\"Find(0)=1, Find(4)=3, Add (0,4)=42 Succeeded, w=138\",\"Find(1)=1, Find(3)=1, Add (1,3)=49 Failed, w=138\",\"Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=138\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=138\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=138\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,41],[0,4,42],[1,2,22],[1,3,49],[1,4,62],[2,3,75],[2,4,63],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(3,4)=33,(0,2)=41,(0,4)=42,(1,3)=49,(1,4)=62,(2,4)=63,(2,3)=75,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=33 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(2)=1, Add (0,2)=41 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(4)=3, Add (0,4)=42 Succeeded, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=1, Add (1,3)=49 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,45],[0,3,25],[0,4,78],[0,5,86],[0,6,45],[1,2,80],[1,4,48],[1,5,24],[1,7,19],[2,4,54],[2,5,61],[2,7,27],[3,4,28],[3,6,52],[3,7,88],[4,5,78],[4,7,77],[5,6,38],[5,7,50],[6,7,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,45],[0,3,25],[0,4,78],[0,5,86],[0,6,45],[1,2,80],[1,4,48],[1,5,24],[1,7,19],[2,4,54],[2,5,61],[2,7,27],[3,4,28],[3,6,52],[3,7,88],[4,5,78],[4,7,77],[5,6,38],[5,7,50],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,45],[0,3,25],[0,4,78],[0,5,86],[0,6,45],[1,2,80],[1,4,48],[1,5,24],[1,7,19],[2,4,54],[2,5,61],[2,7,27],[3,4,28],[3,6,52],[3,7,88],[4,5,78],[4,7,77],[5,6,38],[5,7,50],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (2,7)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (0,2)\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,45],[0,3,25],[0,4,78],[0,5,86],[0,6,45],[1,2,80],[1,4,48],[1,5,24],[1,7,19],[2,4,54],[2,5,61],[2,7,27],[3,4,28],[3,6,52],[3,7,88],[4,5,78],[4,7,77],[5,6,38],[5,7,50],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=19, w=19\",\"Add (1,5)=24, w=43\",\"Add (0,3)=25, w=68\",\"Add (2,7)=27, w=95\",\"Add (3,4)=28, w=123\",\"Add (6,7)=31, w=154\",\"Add (0,2)=45, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,45],[0,3,25],[0,4,78],[0,5,86],[0,6,45],[1,2,80],[1,4,48],[1,5,24],[1,7,19],[2,4,54],[2,5,61],[2,7,27],[3,4,28],[3,6,52],[3,7,88],[4,5,78],[4,7,77],[5,6,38],[5,7,50],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=19 Succeeded, w=19\",\"Add (1,5)=24 Succeeded, w=43\",\"Add (0,3)=25 Succeeded, w=68\",\"Add (2,7)=27 Succeeded, w=95\",\"Add (3,4)=28 Succeeded, w=123\",\"Add (6,7)=31 Succeeded, w=154\",\"Add (5,6)=38 Failed, w=154\",\"Add (0,2)=45 Succeeded, w=199\",\"Add (0,6)=45 Failed, w=199\",\"Add (1,4)=48 Failed, w=199\",\"Add (5,7)=50 Failed, w=199\",\"Add (3,6)=52 Failed, w=199\",\"Add (2,4)=54 Failed, w=199\",\"Add (2,5)=61 Failed, w=199\",\"Add (4,7)=77 Failed, w=199\",\"Add (0,4)=78 Failed, w=199\",\"Add (4,5)=78 Failed, w=199\",\"Add (1,2)=80 Failed, w=199\",\"Add (0,5)=86 Failed, w=199\",\"Add (3,7)=88 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,45],[0,3,25],[0,4,78],[0,5,86],[0,6,45],[1,2,80],[1,4,48],[1,5,24],[1,7,19],[2,4,54],[2,5,61],[2,7,27],[3,4,28],[3,6,52],[3,7,88],[4,5,78],[4,7,77],[5,6,38],[5,7,50],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=19,(1,5)=24,(0,3)=25,(2,7)=27,(3,4)=28,(6,7)=31,(5,6)=38,(0,2)=45,(0,6)=45,(1,4)=48,(5,7)=50,(3,6)=52,(2,4)=54,(2,5)=61,(4,7)=77,(0,4)=78,(4,5)=78,(1,2)=80,(0,5)=86,(3,7)=88]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=19 Succeeded, w=19\",\"Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=43\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=68\",\"Find(2)=2, Find(7)=1, Add (2,7)=27 Succeeded, w=95\",\"Find(3)=0, Find(4)=4, Add (3,4)=28 Succeeded, w=123\",\"Find(6)=6, Find(7)=1, Add (6,7)=31 Succeeded, w=154\",\"Find(5)=1, Find(6)=1, Add (5,6)=38 Failed, w=154\",\"Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=199\",\"Find(0)=0, Find(6)=0, Add (0,6)=45 Failed, w=199\",\"Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=199\",\"Find(5)=0, Find(7)=0, Add (5,7)=50 Failed, w=199\",\"Find(3)=0, Find(6)=0, Add (3,6)=52 Failed, w=199\",\"Find(2)=0, Find(4)=0, Add (2,4)=54 Failed, w=199\",\"Find(2)=0, Find(5)=0, Add (2,5)=61 Failed, w=199\",\"Find(4)=0, Find(7)=0, Add (4,7)=77 Failed, w=199\",\"Find(0)=0, Find(4)=0, Add (0,4)=78 Failed, w=199\",\"Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=199\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=199\",\"Find(0)=0, Find(5)=0, Add (0,5)=86 Failed, w=199\",\"Find(3)=0, Find(7)=0, Add (3,7)=88 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,45],[0,3,25],[0,4,78],[0,5,86],[0,6,45],[1,2,80],[1,4,48],[1,5,24],[1,7,19],[2,4,54],[2,5,61],[2,7,27],[3,4,28],[3,6,52],[3,7,88],[4,5,78],[4,7,77],[5,6,38],[5,7,50],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=19,(1,5)=24,(0,3)=25,(2,7)=27,(3,4)=28,(6,7)=31,(5,6)=38,(0,2)=45,(0,6)=45,(1,4)=48,(5,7)=50,(3,6)=52,(2,4)=54,(2,5)=61,(4,7)=77,(0,4)=78,(4,5)=78,(1,2)=80,(0,5)=86,(3,7)=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)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=27 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 6, 7: 1}, Find(3)=0, Find(4)=4, Add (3,4)=28 Succeeded, w=123\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=31 Succeeded, w=154\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=38 Failed, w=154\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=45 Succeeded, w=199\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1, 6: 0, 7: 1}, Find(0)=0, Find(6)=0, Add (0,6)=45 Failed, w=199\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1, 6: 0, 7: 1}, Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=199\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=50 Failed, w=199\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=52 Failed, w=199\",\"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)=54 Failed, w=199\",\"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)=61 Failed, w=199\",\"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)=77 Failed, w=199\",\"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)=78 Failed, w=199\",\"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)=78 Failed, w=199\",\"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)=80 Failed, w=199\",\"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)=86 Failed, w=199\",\"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)=88 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,59],[0,5,46],[1,3,85],[1,5,84],[2,5,18],[2,6,79],[3,4,47],[3,5,46],[5,6,7]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,59],[0,5,46],[1,3,85],[1,5,84],[2,5,18],[2,6,79],[3,4,47],[3,5,46],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":248}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,59],[0,5,46],[1,3,85],[1,5,84],[2,5,18],[2,6,79],[3,4,47],[3,5,46],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":248}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,59],[0,5,46],[1,3,85],[1,5,84],[2,5,18],[2,6,79],[3,4,47],[3,5,46],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7, w=7\",\"Add (2,5)=18, w=25\",\"Add (0,5)=46, w=71\",\"Add (3,5)=46, w=117\",\"Add (3,4)=47, w=164\",\"Add (1,5)=84, w=248\"],\"Answer\":248}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,59],[0,5,46],[1,3,85],[1,5,84],[2,5,18],[2,6,79],[3,4,47],[3,5,46],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7 Succeeded, w=7\",\"Add (2,5)=18 Succeeded, w=25\",\"Add (0,5)=46 Succeeded, w=71\",\"Add (3,5)=46 Succeeded, w=117\",\"Add (3,4)=47 Succeeded, w=164\",\"Add (0,4)=59 Failed, w=164\",\"Add (2,6)=79 Failed, w=164\",\"Add (1,5)=84 Succeeded, w=248\",\"Add (1,3)=85 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,59],[0,5,46],[1,3,85],[1,5,84],[2,5,18],[2,6,79],[3,4,47],[3,5,46],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(2,5)=18,(0,5)=46,(3,5)=46,(3,4)=47,(0,4)=59,(2,6)=79,(1,5)=84,(1,3)=85]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=25\",\"Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=71\",\"Find(3)=3, Find(5)=5, Add (3,5)=46 Succeeded, w=117\",\"Find(3)=5, Find(4)=4, Add (3,4)=47 Succeeded, w=164\",\"Find(0)=5, Find(4)=5, Add (0,4)=59 Failed, w=164\",\"Find(2)=5, Find(6)=5, Add (2,6)=79 Failed, w=164\",\"Find(1)=1, Find(5)=5, Add (1,5)=84 Succeeded, w=248\",\"Find(1)=5, Find(3)=5, Add (1,3)=85 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,59],[0,5,46],[1,3,85],[1,5,84],[2,5,18],[2,6,79],[3,4,47],[3,5,46],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(2,5)=18,(0,5)=46,(3,5)=46,(3,4)=47,(0,4)=59,(2,6)=79,(1,5)=84,(1,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=25\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=71\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=46 Succeeded, w=117\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(4)=4, Add (3,4)=47 Succeeded, w=164\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=59 Failed, w=164\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=79 Failed, w=164\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=1, Find(5)=5, Add (1,5)=84 Succeeded, w=248\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(3)=5, Add (1,3)=85 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,92],[0,3,73],[0,5,70],[1,2,62],[1,3,32],[2,3,40],[2,5,36],[2,7,27],[3,4,95],[3,5,10],[3,6,89],[4,5,25],[5,7,54]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,73],[0,5,70],[1,2,62],[1,3,32],[2,3,40],[2,5,36],[2,7,27],[3,4,95],[3,5,10],[3,6,89],[4,5,25],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":289}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,73],[0,5,70],[1,2,62],[1,3,32],[2,3,40],[2,5,36],[2,7,27],[3,4,95],[3,5,10],[3,6,89],[4,5,25],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,5)\",\"Add (2,7)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (3,6)\"],\"Answer\":289}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,73],[0,5,70],[1,2,62],[1,3,32],[2,3,40],[2,5,36],[2,7,27],[3,4,95],[3,5,10],[3,6,89],[4,5,25],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10, w=10\",\"Add (4,5)=25, w=35\",\"Add (2,7)=27, w=62\",\"Add (1,3)=32, w=94\",\"Add (2,5)=36, w=130\",\"Add (0,5)=70, w=200\",\"Add (3,6)=89, w=289\"],\"Answer\":289}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,73],[0,5,70],[1,2,62],[1,3,32],[2,3,40],[2,5,36],[2,7,27],[3,4,95],[3,5,10],[3,6,89],[4,5,25],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=10 Succeeded, w=10\",\"Add (4,5)=25 Succeeded, w=35\",\"Add (2,7)=27 Succeeded, w=62\",\"Add (1,3)=32 Succeeded, w=94\",\"Add (2,5)=36 Succeeded, w=130\",\"Add (2,3)=40 Failed, w=130\",\"Add (5,7)=54 Failed, w=130\",\"Add (1,2)=62 Failed, w=130\",\"Add (0,5)=70 Succeeded, w=200\",\"Add (0,3)=73 Failed, w=200\",\"Add (3,6)=89 Succeeded, w=289\",\"Add (0,1)=92 Failed, w=289\",\"Add (3,4)=95 Failed, w=289\"],\"Answer\":289}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,73],[0,5,70],[1,2,62],[1,3,32],[2,3,40],[2,5,36],[2,7,27],[3,4,95],[3,5,10],[3,6,89],[4,5,25],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(4,5)=25,(2,7)=27,(1,3)=32,(2,5)=36,(2,3)=40,(5,7)=54,(1,2)=62,(0,5)=70,(0,3)=73,(3,6)=89,(0,1)=92,(3,4)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=10\",\"Find(4)=4, Find(5)=3, Add (4,5)=25 Succeeded, w=35\",\"Find(2)=2, Find(7)=7, Add (2,7)=27 Succeeded, w=62\",\"Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=94\",\"Find(2)=2, Find(5)=3, Add (2,5)=36 Succeeded, w=130\",\"Find(2)=2, Find(3)=2, Add (2,3)=40 Failed, w=130\",\"Find(5)=2, Find(7)=2, Add (5,7)=54 Failed, w=130\",\"Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=130\",\"Find(0)=0, Find(5)=2, Add (0,5)=70 Succeeded, w=200\",\"Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=200\",\"Find(3)=2, Find(6)=6, Add (3,6)=89 Succeeded, w=289\",\"Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=289\",\"Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=289\"],\"Answer\":289}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,73],[0,5,70],[1,2,62],[1,3,32],[2,3,40],[2,5,36],[2,7,27],[3,4,95],[3,5,10],[3,6,89],[4,5,25],[5,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=10,(4,5)=25,(2,7)=27,(1,3)=32,(2,5)=36,(2,3)=40,(5,7)=54,(1,2)=62,(0,5)=70,(0,3)=73,(3,6)=89,(0,1)=92,(3,4)=95]\",\"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)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 7}, Find(4)=4, Find(5)=3, Add (4,5)=25 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=27 Succeeded, w=62\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 2}, Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=94\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 3, 5: 3, 6: 6, 7: 2}, Find(2)=2, Find(5)=3, Add (2,5)=36 Succeeded, w=130\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 3, 5: 3, 6: 6, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=40 Failed, w=130\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=54 Failed, w=130\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6, 7: 2}, Find(0)=0, Find(5)=2, Add (0,5)=70 Succeeded, w=200\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=200\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=6, Add (3,6)=89 Succeeded, w=289\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=289\",\"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)=95 Failed, w=289\"],\"Answer\":289}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,78],[0,2,73],[0,3,73],[0,4,100],[0,5,92],[1,2,78],[1,3,32],[1,4,49],[1,5,96],[2,3,58],[2,5,90],[3,4,1],[4,5,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,73],[0,3,73],[0,4,100],[0,5,92],[1,2,78],[1,3,32],[1,4,49],[1,5,96],[2,3,58],[2,5,90],[3,4,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,73],[0,3,73],[0,4,100],[0,5,92],[1,2,78],[1,3,32],[1,4,49],[1,5,96],[2,3,58],[2,5,90],[3,4,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,73],[0,3,73],[0,4,100],[0,5,92],[1,2,78],[1,3,32],[1,4,49],[1,5,96],[2,3,58],[2,5,90],[3,4,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (1,3)=32, w=33\",\"Add (4,5)=38, w=71\",\"Add (2,3)=58, w=129\",\"Add (0,2)=73, w=202\"],\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,73],[0,3,73],[0,4,100],[0,5,92],[1,2,78],[1,3,32],[1,4,49],[1,5,96],[2,3,58],[2,5,90],[3,4,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (1,3)=32 Succeeded, w=33\",\"Add (4,5)=38 Succeeded, w=71\",\"Add (1,4)=49 Failed, w=71\",\"Add (2,3)=58 Succeeded, w=129\",\"Add (0,2)=73 Succeeded, w=202\",\"Add (0,3)=73 Failed, w=202\",\"Add (0,1)=78 Failed, w=202\",\"Add (1,2)=78 Failed, w=202\",\"Add (2,5)=90 Failed, w=202\",\"Add (0,5)=92 Failed, w=202\",\"Add (1,5)=96 Failed, w=202\",\"Add (0,4)=100 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,73],[0,3,73],[0,4,100],[0,5,92],[1,2,78],[1,3,32],[1,4,49],[1,5,96],[2,3,58],[2,5,90],[3,4,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,3)=32,(4,5)=38,(1,4)=49,(2,3)=58,(0,2)=73,(0,3)=73,(0,1)=78,(1,2)=78,(2,5)=90,(0,5)=92,(1,5)=96,(0,4)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=33\",\"Find(4)=3, Find(5)=5, Add (4,5)=38 Succeeded, w=71\",\"Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=71\",\"Find(2)=2, Find(3)=3, Add (2,3)=58 Succeeded, w=129\",\"Find(0)=0, Find(2)=3, Add (0,2)=73 Succeeded, w=202\",\"Find(0)=3, Find(3)=3, Add (0,3)=73 Failed, w=202\",\"Find(0)=3, Find(1)=3, Add (0,1)=78 Failed, w=202\",\"Find(1)=3, Find(2)=3, Add (1,2)=78 Failed, w=202\",\"Find(2)=3, Find(5)=3, Add (2,5)=90 Failed, w=202\",\"Find(0)=3, Find(5)=3, Add (0,5)=92 Failed, w=202\",\"Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=202\",\"Find(0)=3, Find(4)=3, Add (0,4)=100 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,73],[0,3,73],[0,4,100],[0,5,92],[1,2,78],[1,3,32],[1,4,49],[1,5,96],[2,3,58],[2,5,90],[3,4,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,3)=32,(4,5)=38,(1,4)=49,(2,3)=58,(0,2)=73,(0,3)=73,(0,1)=78,(1,2)=78,(2,5)=90,(0,5)=92,(1,5)=96,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=5, Add (4,5)=38 Succeeded, w=71\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=49 Failed, w=71\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=58 Succeeded, w=129\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(2)=3, Add (0,2)=73 Succeeded, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=73 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=78 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=78 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=90 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=92 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=96 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=100 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,86],[0,2,97],[0,4,21],[0,6,32],[1,2,68],[1,6,12],[2,3,58],[2,4,47],[2,6,40],[3,6,81],[4,5,91],[4,6,73],[5,6,27]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,97],[0,4,21],[0,6,32],[1,2,68],[1,6,12],[2,3,58],[2,4,47],[2,6,40],[3,6,81],[4,5,91],[4,6,73],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,97],[0,4,21],[0,6,32],[1,2,68],[1,6,12],[2,3,58],[2,4,47],[2,6,40],[3,6,81],[4,5,91],[4,6,73],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (2,3)\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,97],[0,4,21],[0,6,32],[1,2,68],[1,6,12],[2,3,58],[2,4,47],[2,6,40],[3,6,81],[4,5,91],[4,6,73],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=12, w=12\",\"Add (0,4)=21, w=33\",\"Add (5,6)=27, w=60\",\"Add (0,6)=32, w=92\",\"Add (2,6)=40, w=132\",\"Add (2,3)=58, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,97],[0,4,21],[0,6,32],[1,2,68],[1,6,12],[2,3,58],[2,4,47],[2,6,40],[3,6,81],[4,5,91],[4,6,73],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=12 Succeeded, w=12\",\"Add (0,4)=21 Succeeded, w=33\",\"Add (5,6)=27 Succeeded, w=60\",\"Add (0,6)=32 Succeeded, w=92\",\"Add (2,6)=40 Succeeded, w=132\",\"Add (2,4)=47 Failed, w=132\",\"Add (2,3)=58 Succeeded, w=190\",\"Add (1,2)=68 Failed, w=190\",\"Add (4,6)=73 Failed, w=190\",\"Add (3,6)=81 Failed, w=190\",\"Add (0,1)=86 Failed, w=190\",\"Add (4,5)=91 Failed, w=190\",\"Add (0,2)=97 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,97],[0,4,21],[0,6,32],[1,2,68],[1,6,12],[2,3,58],[2,4,47],[2,6,40],[3,6,81],[4,5,91],[4,6,73],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=12,(0,4)=21,(5,6)=27,(0,6)=32,(2,6)=40,(2,4)=47,(2,3)=58,(1,2)=68,(4,6)=73,(3,6)=81,(0,1)=86,(4,5)=91,(0,2)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=33\",\"Find(5)=5, Find(6)=1, Add (5,6)=27 Succeeded, w=60\",\"Find(0)=0, Find(6)=1, Add (0,6)=32 Succeeded, w=92\",\"Find(2)=2, Find(6)=0, Add (2,6)=40 Succeeded, w=132\",\"Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=132\",\"Find(2)=0, Find(3)=3, Add (2,3)=58 Succeeded, w=190\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=190\",\"Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=190\",\"Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=190\",\"Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=190\",\"Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=190\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,97],[0,4,21],[0,6,32],[1,2,68],[1,6,12],[2,3,58],[2,4,47],[2,6,40],[3,6,81],[4,5,91],[4,6,73],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=12,(0,4)=21,(5,6)=27,(0,6)=32,(2,6)=40,(2,4)=47,(2,3)=58,(1,2)=68,(4,6)=73,(3,6)=81,(0,1)=86,(4,5)=91,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 1}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=27 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 1, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=32 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=40 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=58 Succeeded, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=190\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[0,2,91],[0,3,44],[1,2,81],[1,3,13],[1,4,68],[1,6,43],[2,3,27],[2,4,11],[2,5,90],[2,6,83],[3,5,83],[4,6,52]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,91],[0,3,44],[1,2,81],[1,3,13],[1,4,68],[1,6,43],[2,3,27],[2,4,11],[2,5,90],[2,6,83],[3,5,83],[4,6,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,91],[0,3,44],[1,2,81],[1,3,13],[1,4,68],[1,6,43],[2,3,27],[2,4,11],[2,5,90],[2,6,83],[3,5,83],[4,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,91],[0,3,44],[1,2,81],[1,3,13],[1,4,68],[1,6,43],[2,3,27],[2,4,11],[2,5,90],[2,6,83],[3,5,83],[4,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (1,3)=13, w=24\",\"Add (2,3)=27, w=51\",\"Add (1,6)=43, w=94\",\"Add (0,3)=44, w=138\",\"Add (3,5)=83, w=221\"],\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,91],[0,3,44],[1,2,81],[1,3,13],[1,4,68],[1,6,43],[2,3,27],[2,4,11],[2,5,90],[2,6,83],[3,5,83],[4,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (1,3)=13 Succeeded, w=24\",\"Add (2,3)=27 Succeeded, w=51\",\"Add (1,6)=43 Succeeded, w=94\",\"Add (0,3)=44 Succeeded, w=138\",\"Add (4,6)=52 Failed, w=138\",\"Add (1,4)=68 Failed, w=138\",\"Add (0,1)=71 Failed, w=138\",\"Add (1,2)=81 Failed, w=138\",\"Add (2,6)=83 Failed, w=138\",\"Add (3,5)=83 Succeeded, w=221\",\"Add (2,5)=90 Failed, w=221\",\"Add (0,2)=91 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,91],[0,3,44],[1,2,81],[1,3,13],[1,4,68],[1,6,43],[2,3,27],[2,4,11],[2,5,90],[2,6,83],[3,5,83],[4,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(1,3)=13,(2,3)=27,(1,6)=43,(0,3)=44,(4,6)=52,(1,4)=68,(0,1)=71,(1,2)=81,(2,6)=83,(3,5)=83,(2,5)=90,(0,2)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=24\",\"Find(2)=2, Find(3)=1, Add (2,3)=27 Succeeded, w=51\",\"Find(1)=2, Find(6)=6, Add (1,6)=43 Succeeded, w=94\",\"Find(0)=0, Find(3)=2, Add (0,3)=44 Succeeded, w=138\",\"Find(4)=2, Find(6)=2, Add (4,6)=52 Failed, w=138\",\"Find(1)=2, Find(4)=2, Add (1,4)=68 Failed, w=138\",\"Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=138\",\"Find(1)=2, Find(2)=2, Add (1,2)=81 Failed, w=138\",\"Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=138\",\"Find(3)=2, Find(5)=5, Add (3,5)=83 Succeeded, w=221\",\"Find(2)=2, Find(5)=2, Add (2,5)=90 Failed, w=221\",\"Find(0)=2, Find(2)=2, Add (0,2)=91 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,91],[0,3,44],[1,2,81],[1,3,13],[1,4,68],[1,6,43],[2,3,27],[2,4,11],[2,5,90],[2,6,83],[3,5,83],[4,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(1,3)=13,(2,3)=27,(1,6)=43,(0,3)=44,(4,6)=52,(1,4)=68,(0,1)=71,(1,2)=81,(2,6)=83,(3,5)=83,(2,5)=90,(0,2)=91]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(3)=1, Add (2,3)=27 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(6)=6, Add (1,6)=43 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=0, Find(3)=2, Add (0,3)=44 Succeeded, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=52 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=68 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=81 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=83 Failed, w=138\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=83 Succeeded, w=221\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=90 Failed, w=221\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=91 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,2,86],[0,3,25],[1,2,22],[1,3,46],[2,3,46]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,86],[0,3,25],[1,2,22],[1,3,46],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,86],[0,3,25],[1,2,22],[1,3,46],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,86],[0,3,25],[1,2,22],[1,3,46],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22, w=22\",\"Add (0,3)=25, w=47\",\"Add (1,3)=46, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,86],[0,3,25],[1,2,22],[1,3,46],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=22 Succeeded, w=22\",\"Add (0,3)=25 Succeeded, w=47\",\"Add (1,3)=46 Succeeded, w=93\",\"Add (2,3)=46 Failed, w=93\",\"Add (0,2)=86 Failed, w=93\",\"Add (0,1)=91 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,86],[0,3,25],[1,2,22],[1,3,46],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,3)=25,(1,3)=46,(2,3)=46,(0,2)=86,(0,1)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=47\",\"Find(1)=1, Find(3)=0, Add (1,3)=46 Succeeded, w=93\",\"Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=93\",\"Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,86],[0,3,25],[1,2,22],[1,3,46],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=22,(0,3)=25,(1,3)=46,(2,3)=46,(0,2)=86,(0,1)=91]\",\"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: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=46 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,70],[0,3,18],[0,4,67],[1,2,83],[1,3,11],[1,4,52],[2,3,49],[2,4,66],[3,4,18]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,70],[0,3,18],[0,4,67],[1,2,83],[1,3,11],[1,4,52],[2,3,49],[2,4,66],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,70],[0,3,18],[0,4,67],[1,2,83],[1,3,11],[1,4,52],[2,3,49],[2,4,66],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,70],[0,3,18],[0,4,67],[1,2,83],[1,3,11],[1,4,52],[2,3,49],[2,4,66],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (0,3)=18, w=29\",\"Add (3,4)=18, w=47\",\"Add (2,3)=49, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,70],[0,3,18],[0,4,67],[1,2,83],[1,3,11],[1,4,52],[2,3,49],[2,4,66],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (0,3)=18 Succeeded, w=29\",\"Add (3,4)=18 Succeeded, w=47\",\"Add (0,1)=32 Failed, w=47\",\"Add (2,3)=49 Succeeded, w=96\",\"Add (1,4)=52 Failed, w=96\",\"Add (2,4)=66 Failed, w=96\",\"Add (0,4)=67 Failed, w=96\",\"Add (0,2)=70 Failed, w=96\",\"Add (1,2)=83 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,70],[0,3,18],[0,4,67],[1,2,83],[1,3,11],[1,4,52],[2,3,49],[2,4,66],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(0,3)=18,(3,4)=18,(0,1)=32,(2,3)=49,(1,4)=52,(2,4)=66,(0,4)=67,(0,2)=70,(1,2)=83]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=1, Add (0,3)=18 Succeeded, w=29\",\"Find(3)=1, Find(4)=4, Add (3,4)=18 Succeeded, w=47\",\"Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=47\",\"Find(2)=2, Find(3)=1, Add (2,3)=49 Succeeded, w=96\",\"Find(1)=1, Find(4)=1, Add (1,4)=52 Failed, w=96\",\"Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=96\",\"Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=96\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=96\",\"Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,70],[0,3,18],[0,4,67],[1,2,83],[1,3,11],[1,4,52],[2,3,49],[2,4,66],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(0,3)=18,(3,4)=18,(0,1)=32,(2,3)=49,(1,4)=52,(2,4)=66,(0,4)=67,(0,2)=70,(1,2)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=18 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=18 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=49 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=52 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,85],[0,2,31],[0,3,40],[0,4,96],[1,3,68],[1,4,56],[2,3,26],[2,4,78],[3,4,71]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,31],[0,3,40],[0,4,96],[1,3,68],[1,4,56],[2,3,26],[2,4,78],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,31],[0,3,40],[0,4,96],[1,3,68],[1,4,56],[2,3,26],[2,4,78],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,31],[0,3,40],[0,4,96],[1,3,68],[1,4,56],[2,3,26],[2,4,78],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26, w=26\",\"Add (0,2)=31, w=57\",\"Add (1,4)=56, w=113\",\"Add (1,3)=68, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,31],[0,3,40],[0,4,96],[1,3,68],[1,4,56],[2,3,26],[2,4,78],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26 Succeeded, w=26\",\"Add (0,2)=31 Succeeded, w=57\",\"Add (0,3)=40 Failed, w=57\",\"Add (1,4)=56 Succeeded, w=113\",\"Add (1,3)=68 Succeeded, w=181\",\"Add (3,4)=71 Failed, w=181\",\"Add (2,4)=78 Failed, w=181\",\"Add (0,1)=85 Failed, w=181\",\"Add (0,4)=96 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,31],[0,3,40],[0,4,96],[1,3,68],[1,4,56],[2,3,26],[2,4,78],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(0,2)=31,(0,3)=40,(1,4)=56,(1,3)=68,(3,4)=71,(2,4)=78,(0,1)=85,(0,4)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=57\",\"Find(0)=2, Find(3)=2, Add (0,3)=40 Failed, w=57\",\"Find(1)=1, Find(4)=4, Add (1,4)=56 Succeeded, w=113\",\"Find(1)=1, Find(3)=2, Add (1,3)=68 Succeeded, w=181\",\"Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=181\",\"Find(2)=1, Find(4)=1, Add (2,4)=78 Failed, w=181\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=181\",\"Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,31],[0,3,40],[0,4,96],[1,3,68],[1,4,56],[2,3,26],[2,4,78],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(0,2)=31,(0,3)=40,(1,4)=56,(1,3)=68,(3,4)=71,(2,4)=78,(0,1)=85,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=57\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(3)=2, Add (0,3)=40 Failed, w=57\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=56 Succeeded, w=113\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1}, Find(1)=1, Find(3)=2, Add (1,3)=68 Succeeded, w=181\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=71 Failed, w=181\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=78 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,42],[0,2,39],[0,3,23],[0,4,74],[0,5,23],[1,2,90],[1,3,23],[1,5,100],[2,3,44],[2,4,73],[2,5,85],[3,4,65],[3,5,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,39],[0,3,23],[0,4,74],[0,5,23],[1,2,90],[1,3,23],[1,5,100],[2,3,44],[2,4,73],[2,5,85],[3,4,65],[3,5,96]]}",
"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\":[[0,1,42],[0,2,39],[0,3,23],[0,4,74],[0,5,23],[1,2,90],[1,3,23],[1,5,100],[2,3,44],[2,4,73],[2,5,85],[3,4,65],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":173}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,39],[0,3,23],[0,4,74],[0,5,23],[1,2,90],[1,3,23],[1,5,100],[2,3,44],[2,4,73],[2,5,85],[3,4,65],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23, w=23\",\"Add (0,5)=23, w=46\",\"Add (1,3)=23, w=69\",\"Add (0,2)=39, w=108\",\"Add (3,4)=65, 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\":[[0,1,42],[0,2,39],[0,3,23],[0,4,74],[0,5,23],[1,2,90],[1,3,23],[1,5,100],[2,3,44],[2,4,73],[2,5,85],[3,4,65],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=23 Succeeded, w=23\",\"Add (0,5)=23 Succeeded, w=46\",\"Add (1,3)=23 Succeeded, w=69\",\"Add (0,2)=39 Succeeded, w=108\",\"Add (0,1)=42 Failed, w=108\",\"Add (2,3)=44 Failed, w=108\",\"Add (3,4)=65 Succeeded, w=173\",\"Add (2,4)=73 Failed, w=173\",\"Add (0,4)=74 Failed, w=173\",\"Add (2,5)=85 Failed, w=173\",\"Add (1,2)=90 Failed, w=173\",\"Add (3,5)=96 Failed, w=173\",\"Add (1,5)=100 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\":[[0,1,42],[0,2,39],[0,3,23],[0,4,74],[0,5,23],[1,2,90],[1,3,23],[1,5,100],[2,3,44],[2,4,73],[2,5,85],[3,4,65],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,5)=23,(1,3)=23,(0,2)=39,(0,1)=42,(2,3)=44,(3,4)=65,(2,4)=73,(0,4)=74,(2,5)=85,(1,2)=90,(3,5)=96,(1,5)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=46\",\"Find(1)=1, Find(3)=0, Add (1,3)=23 Succeeded, w=69\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=108\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=108\",\"Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=108\",\"Find(3)=0, Find(4)=4, Add (3,4)=65 Succeeded, w=173\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=173\",\"Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=173\",\"Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=173\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=173\",\"Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=173\",\"Find(1)=0, Find(5)=0, Add (1,5)=100 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\":[[0,1,42],[0,2,39],[0,3,23],[0,4,74],[0,5,23],[1,2,90],[1,3,23],[1,5,100],[2,3,44],[2,4,73],[2,5,85],[3,4,65],[3,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=23,(0,5)=23,(1,3)=23,(0,2)=39,(0,1)=42,(2,3)=44,(3,4)=65,(2,4)=73,(0,4)=74,(2,5)=85,(1,2)=90,(3,5)=96,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=23 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=108\",\"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=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 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)=96 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,7],[0,3,30],[1,2,14],[1,3,29],[2,3,89]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,3,30],[1,2,14],[1,3,29],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,3,30],[1,2,14],[1,3,29],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,3,30],[1,2,14],[1,3,29],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (1,2)=14, w=21\",\"Add (1,3)=29, w=50\"],\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,3,30],[1,2,14],[1,3,29],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (1,2)=14 Succeeded, w=21\",\"Add (1,3)=29 Succeeded, w=50\",\"Add (0,3)=30 Failed, w=50\",\"Add (2,3)=89 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,3,30],[1,2,14],[1,3,29],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(1,2)=14,(1,3)=29,(0,3)=30,(2,3)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=21\",\"Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=50\",\"Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=50\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,7],[0,3,30],[1,2,14],[1,3,29],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(1,2)=14,(1,3)=29,(0,3)=30,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,8],[0,2,30],[0,3,96],[0,4,2],[0,5,30],[0,6,94],[0,7,58],[1,2,44],[1,3,18],[1,4,44],[1,5,5],[1,6,93],[2,3,24],[2,5,21],[2,7,61],[3,4,28],[3,5,44],[3,6,70],[3,7,81],[4,6,3],[4,7,73],[5,7,78],[6,7,53]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,30],[0,3,96],[0,4,2],[0,5,30],[0,6,94],[0,7,58],[1,2,44],[1,3,18],[1,4,44],[1,5,5],[1,6,93],[2,3,24],[2,5,21],[2,7,61],[3,4,28],[3,5,44],[3,6,70],[3,7,81],[4,6,3],[4,7,73],[5,7,78],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,30],[0,3,96],[0,4,2],[0,5,30],[0,6,94],[0,7,58],[1,2,44],[1,3,18],[1,4,44],[1,5,5],[1,6,93],[2,3,24],[2,5,21],[2,7,61],[3,4,28],[3,5,44],[3,6,70],[3,7,81],[4,6,3],[4,7,73],[5,7,78],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,6)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (6,7)\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,30],[0,3,96],[0,4,2],[0,5,30],[0,6,94],[0,7,58],[1,2,44],[1,3,18],[1,4,44],[1,5,5],[1,6,93],[2,3,24],[2,5,21],[2,7,61],[3,4,28],[3,5,44],[3,6,70],[3,7,81],[4,6,3],[4,7,73],[5,7,78],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (4,6)=3, w=5\",\"Add (1,5)=5, w=10\",\"Add (0,1)=8, w=18\",\"Add (1,3)=18, w=36\",\"Add (2,5)=21, w=57\",\"Add (6,7)=53, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,30],[0,3,96],[0,4,2],[0,5,30],[0,6,94],[0,7,58],[1,2,44],[1,3,18],[1,4,44],[1,5,5],[1,6,93],[2,3,24],[2,5,21],[2,7,61],[3,4,28],[3,5,44],[3,6,70],[3,7,81],[4,6,3],[4,7,73],[5,7,78],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (4,6)=3 Succeeded, w=5\",\"Add (1,5)=5 Succeeded, w=10\",\"Add (0,1)=8 Succeeded, w=18\",\"Add (1,3)=18 Succeeded, w=36\",\"Add (2,5)=21 Succeeded, w=57\",\"Add (2,3)=24 Failed, w=57\",\"Add (3,4)=28 Failed, w=57\",\"Add (0,2)=30 Failed, w=57\",\"Add (0,5)=30 Failed, w=57\",\"Add (1,2)=44 Failed, w=57\",\"Add (1,4)=44 Failed, w=57\",\"Add (3,5)=44 Failed, w=57\",\"Add (6,7)=53 Succeeded, w=110\",\"Add (0,7)=58 Failed, w=110\",\"Add (2,7)=61 Failed, w=110\",\"Add (3,6)=70 Failed, w=110\",\"Add (4,7)=73 Failed, w=110\",\"Add (5,7)=78 Failed, w=110\",\"Add (3,7)=81 Failed, w=110\",\"Add (1,6)=93 Failed, w=110\",\"Add (0,6)=94 Failed, w=110\",\"Add (0,3)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,30],[0,3,96],[0,4,2],[0,5,30],[0,6,94],[0,7,58],[1,2,44],[1,3,18],[1,4,44],[1,5,5],[1,6,93],[2,3,24],[2,5,21],[2,7,61],[3,4,28],[3,5,44],[3,6,70],[3,7,81],[4,6,3],[4,7,73],[5,7,78],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(4,6)=3,(1,5)=5,(0,1)=8,(1,3)=18,(2,5)=21,(2,3)=24,(3,4)=28,(0,2)=30,(0,5)=30,(1,2)=44,(1,4)=44,(3,5)=44,(6,7)=53,(0,7)=58,(2,7)=61,(3,6)=70,(4,7)=73,(5,7)=78,(3,7)=81,(1,6)=93,(0,6)=94,(0,3)=96]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(4)=0, Find(6)=6, Add (4,6)=3 Succeeded, w=5\",\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=18\",\"Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=36\",\"Find(2)=2, Find(5)=0, Add (2,5)=21 Succeeded, w=57\",\"Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=57\",\"Find(3)=0, Find(4)=0, Add (3,4)=28 Failed, w=57\",\"Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=57\",\"Find(0)=0, Find(5)=0, Add (0,5)=30 Failed, w=57\",\"Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=57\",\"Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=57\",\"Find(3)=0, Find(5)=0, Add (3,5)=44 Failed, w=57\",\"Find(6)=0, Find(7)=7, Add (6,7)=53 Succeeded, w=110\",\"Find(0)=0, Find(7)=0, Add (0,7)=58 Failed, w=110\",\"Find(2)=0, Find(7)=0, Add (2,7)=61 Failed, w=110\",\"Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=110\",\"Find(4)=0, Find(7)=0, Add (4,7)=73 Failed, w=110\",\"Find(5)=0, Find(7)=0, Add (5,7)=78 Failed, w=110\",\"Find(3)=0, Find(7)=0, Add (3,7)=81 Failed, w=110\",\"Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=110\",\"Find(0)=0, Find(6)=0, Add (0,6)=94 Failed, w=110\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,30],[0,3,96],[0,4,2],[0,5,30],[0,6,94],[0,7,58],[1,2,44],[1,3,18],[1,4,44],[1,5,5],[1,6,93],[2,3,24],[2,5,21],[2,7,61],[3,4,28],[3,5,44],[3,6,70],[3,7,81],[4,6,3],[4,7,73],[5,7,78],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(4,6)=3,(1,5)=5,(0,1)=8,(1,3)=18,(2,5)=21,(2,3)=24,(3,4)=28,(0,2)=30,(0,5)=30,(1,2)=44,(1,4)=44,(3,5)=44,(6,7)=53,(0,7)=58,(2,7)=61,(3,6)=70,(4,7)=73,(5,7)=78,(3,7)=81,(1,6)=93,(0,6)=94,(0,3)=96]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(4)=0, Find(6)=6, Add (4,6)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 1, 6: 0, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 1, 6: 0, 7: 7}, Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=2, Find(5)=0, Add (2,5)=21 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(3)=0, Find(4)=0, Add (3,4)=28 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(2)=0, Add (0,2)=30 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=30 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(3)=0, Find(5)=0, Add (3,5)=44 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=53 Succeeded, w=110\",\"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=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=61 Failed, w=110\",\"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)=70 Failed, w=110\",\"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)=73 Failed, w=110\",\"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)=78 Failed, w=110\",\"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)=81 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=110\",\"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)=94 Failed, w=110\",\"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)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,6],[0,2,52],[0,3,16],[0,4,5],[0,5,85],[1,2,5],[1,3,20],[1,4,58],[1,5,56],[1,6,99],[2,3,17],[2,4,92],[2,6,40],[3,4,64],[3,6,48],[4,6,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,52],[0,3,16],[0,4,5],[0,5,85],[1,2,5],[1,3,20],[1,4,58],[1,5,56],[1,6,99],[2,3,17],[2,4,92],[2,6,40],[3,4,64],[3,6,48],[4,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,52],[0,3,16],[0,4,5],[0,5,85],[1,2,5],[1,3,20],[1,4,58],[1,5,56],[1,6,99],[2,3,17],[2,4,92],[2,6,40],[3,4,64],[3,6,48],[4,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (1,5)\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,52],[0,3,16],[0,4,5],[0,5,85],[1,2,5],[1,3,20],[1,4,58],[1,5,56],[1,6,99],[2,3,17],[2,4,92],[2,6,40],[3,4,64],[3,6,48],[4,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (1,2)=5, w=10\",\"Add (0,1)=6, w=16\",\"Add (0,3)=16, w=32\",\"Add (2,6)=40, w=72\",\"Add (1,5)=56, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,52],[0,3,16],[0,4,5],[0,5,85],[1,2,5],[1,3,20],[1,4,58],[1,5,56],[1,6,99],[2,3,17],[2,4,92],[2,6,40],[3,4,64],[3,6,48],[4,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (1,2)=5 Succeeded, w=10\",\"Add (0,1)=6 Succeeded, w=16\",\"Add (0,3)=16 Succeeded, w=32\",\"Add (2,3)=17 Failed, w=32\",\"Add (1,3)=20 Failed, w=32\",\"Add (2,6)=40 Succeeded, w=72\",\"Add (3,6)=48 Failed, w=72\",\"Add (0,2)=52 Failed, w=72\",\"Add (1,5)=56 Succeeded, w=128\",\"Add (1,4)=58 Failed, w=128\",\"Add (3,4)=64 Failed, w=128\",\"Add (0,5)=85 Failed, w=128\",\"Add (2,4)=92 Failed, w=128\",\"Add (4,6)=96 Failed, w=128\",\"Add (1,6)=99 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,52],[0,3,16],[0,4,5],[0,5,85],[1,2,5],[1,3,20],[1,4,58],[1,5,56],[1,6,99],[2,3,17],[2,4,92],[2,6,40],[3,4,64],[3,6,48],[4,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(1,2)=5,(0,1)=6,(0,3)=16,(2,3)=17,(1,3)=20,(2,6)=40,(3,6)=48,(0,2)=52,(1,5)=56,(1,4)=58,(3,4)=64,(0,5)=85,(2,4)=92,(4,6)=96,(1,6)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=32\",\"Find(2)=0, Find(3)=0, Add (2,3)=17 Failed, w=32\",\"Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=32\",\"Find(2)=0, Find(6)=6, Add (2,6)=40 Succeeded, w=72\",\"Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=72\",\"Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=72\",\"Find(1)=0, Find(5)=5, Add (1,5)=56 Succeeded, w=128\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=128\",\"Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=128\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=128\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=128\",\"Find(4)=0, Find(6)=0, Add (4,6)=96 Failed, w=128\",\"Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,52],[0,3,16],[0,4,5],[0,5,85],[1,2,5],[1,3,20],[1,4,58],[1,5,56],[1,6,99],[2,3,17],[2,4,92],[2,6,40],[3,4,64],[3,6,48],[4,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(1,2)=5,(0,1)=6,(0,3)=16,(2,3)=17,(1,3)=20,(2,6)=40,(3,6)=48,(0,2)=52,(1,5)=56,(1,4)=58,(3,4)=64,(0,5)=85,(2,4)=92,(4,6)=96,(1,6)=99]\",\"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: 1, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=17 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=40 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=52 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=5, Add (1,5)=56 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=96 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,55],[0,2,9],[0,3,40],[0,4,59],[0,5,88],[1,2,15],[1,3,31],[1,4,24],[1,5,43],[2,3,60],[2,4,94],[2,5,73],[3,4,64],[3,5,43],[4,5,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,9],[0,3,40],[0,4,59],[0,5,88],[1,2,15],[1,3,31],[1,4,24],[1,5,43],[2,3,60],[2,4,94],[2,5,73],[3,4,64],[3,5,43],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,9],[0,3,40],[0,4,59],[0,5,88],[1,2,15],[1,3,31],[1,4,24],[1,5,43],[2,3,60],[2,4,94],[2,5,73],[3,4,64],[3,5,43],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,9],[0,3,40],[0,4,59],[0,5,88],[1,2,15],[1,3,31],[1,4,24],[1,5,43],[2,3,60],[2,4,94],[2,5,73],[3,4,64],[3,5,43],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (4,5)=11, w=20\",\"Add (1,2)=15, w=35\",\"Add (1,4)=24, w=59\",\"Add (1,3)=31, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,9],[0,3,40],[0,4,59],[0,5,88],[1,2,15],[1,3,31],[1,4,24],[1,5,43],[2,3,60],[2,4,94],[2,5,73],[3,4,64],[3,5,43],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (4,5)=11 Succeeded, w=20\",\"Add (1,2)=15 Succeeded, w=35\",\"Add (1,4)=24 Succeeded, w=59\",\"Add (1,3)=31 Succeeded, w=90\",\"Add (0,3)=40 Failed, w=90\",\"Add (1,5)=43 Failed, w=90\",\"Add (3,5)=43 Failed, w=90\",\"Add (0,1)=55 Failed, w=90\",\"Add (0,4)=59 Failed, w=90\",\"Add (2,3)=60 Failed, w=90\",\"Add (3,4)=64 Failed, w=90\",\"Add (2,5)=73 Failed, w=90\",\"Add (0,5)=88 Failed, w=90\",\"Add (2,4)=94 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,9],[0,3,40],[0,4,59],[0,5,88],[1,2,15],[1,3,31],[1,4,24],[1,5,43],[2,3,60],[2,4,94],[2,5,73],[3,4,64],[3,5,43],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(4,5)=11,(1,2)=15,(1,4)=24,(1,3)=31,(0,3)=40,(1,5)=43,(3,5)=43,(0,1)=55,(0,4)=59,(2,3)=60,(3,4)=64,(2,5)=73,(0,5)=88,(2,4)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=20\",\"Find(1)=1, Find(2)=0, Add (1,2)=15 Succeeded, w=35\",\"Find(1)=0, Find(4)=4, Add (1,4)=24 Succeeded, w=59\",\"Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=90\",\"Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=90\",\"Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=90\",\"Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=90\",\"Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=90\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=90\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=90\",\"Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=90\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=90\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=90\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,9],[0,3,40],[0,4,59],[0,5,88],[1,2,15],[1,3,31],[1,4,24],[1,5,43],[2,3,60],[2,4,94],[2,5,73],[3,4,64],[3,5,43],[4,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(4,5)=11,(1,2)=15,(1,4)=24,(1,3)=31,(0,3)=40,(1,5)=43,(3,5)=43,(0,1)=55,(0,4)=59,(2,3)=60,(3,4)=64,(2,5)=73,(0,5)=88,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(2)=0, Add (1,2)=15 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4}, Find(1)=0, Find(4)=4, Add (1,4)=24 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=55 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=64 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=90\",\"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=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
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