graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
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| messages_l4
listlengths 2
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| messages_l5
listlengths 2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,67],[0,2,11],[0,3,43],[0,5,90],[1,2,15],[1,4,85],[1,5,66],[2,3,20],[2,4,79],[2,5,22],[3,4,83],[3,5,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,11],[0,3,43],[0,5,90],[1,2,15],[1,4,85],[1,5,66],[2,3,20],[2,4,79],[2,5,22],[3,4,83],[3,5,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,11],[0,3,43],[0,5,90],[1,2,15],[1,4,85],[1,5,66],[2,3,20],[2,4,79],[2,5,22],[3,4,83],[3,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (2,4)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,11],[0,3,43],[0,5,90],[1,2,15],[1,4,85],[1,5,66],[2,3,20],[2,4,79],[2,5,22],[3,4,83],[3,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11, w=11\",\"Add (1,2)=15, w=26\",\"Add (2,3)=20, w=46\",\"Add (2,5)=22, w=68\",\"Add (2,4)=79, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,11],[0,3,43],[0,5,90],[1,2,15],[1,4,85],[1,5,66],[2,3,20],[2,4,79],[2,5,22],[3,4,83],[3,5,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11 Succeeded, w=11\",\"Add (1,2)=15 Succeeded, w=26\",\"Add (2,3)=20 Succeeded, w=46\",\"Add (2,5)=22 Succeeded, w=68\",\"Add (0,3)=43 Failed, w=68\",\"Add (1,5)=66 Failed, w=68\",\"Add (0,1)=67 Failed, w=68\",\"Add (3,5)=72 Failed, w=68\",\"Add (2,4)=79 Succeeded, w=147\",\"Add (3,4)=83 Failed, w=147\",\"Add (1,4)=85 Failed, w=147\",\"Add (0,5)=90 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,11],[0,3,43],[0,5,90],[1,2,15],[1,4,85],[1,5,66],[2,3,20],[2,4,79],[2,5,22],[3,4,83],[3,5,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(1,2)=15,(2,3)=20,(2,5)=22,(0,3)=43,(1,5)=66,(0,1)=67,(3,5)=72,(2,4)=79,(3,4)=83,(1,4)=85,(0,5)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=0, Add (1,2)=15 Succeeded, w=26\",\"Find(2)=0, Find(3)=3, Add (2,3)=20 Succeeded, w=46\",\"Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=68\",\"Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=68\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=68\",\"Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=68\",\"Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=68\",\"Find(2)=0, Find(4)=4, Add (2,4)=79 Succeeded, w=147\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=147\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=147\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,2,11],[0,3,43],[0,5,90],[1,2,15],[1,4,85],[1,5,66],[2,3,20],[2,4,79],[2,5,22],[3,4,83],[3,5,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(1,2)=15,(2,3)=20,(2,5)=22,(0,3)=43,(1,5)=66,(0,1)=67,(3,5)=72,(2,4)=79,(3,4)=83,(1,4)=85,(0,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=0, Add (1,2)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(2)=0, Find(3)=3, Add (2,3)=20 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=43 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=4, Add (2,4)=79 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,25],[0,2,10],[0,3,20],[0,4,29],[1,2,96],[1,3,100],[1,4,3],[2,3,47],[2,4,45],[3,4,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,10],[0,3,20],[0,4,29],[1,2,96],[1,3,100],[1,4,3],[2,3,47],[2,4,45],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,10],[0,3,20],[0,4,29],[1,2,96],[1,3,100],[1,4,3],[2,3,47],[2,4,45],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,10],[0,3,20],[0,4,29],[1,2,96],[1,3,100],[1,4,3],[2,3,47],[2,4,45],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (0,2)=10, w=13\",\"Add (0,3)=20, w=33\",\"Add (0,1)=25, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,10],[0,3,20],[0,4,29],[1,2,96],[1,3,100],[1,4,3],[2,3,47],[2,4,45],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (0,2)=10 Succeeded, w=13\",\"Add (0,3)=20 Succeeded, w=33\",\"Add (0,1)=25 Succeeded, w=58\",\"Add (0,4)=29 Failed, w=58\",\"Add (2,4)=45 Failed, w=58\",\"Add (2,3)=47 Failed, w=58\",\"Add (3,4)=95 Failed, w=58\",\"Add (1,2)=96 Failed, w=58\",\"Add (1,3)=100 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,10],[0,3,20],[0,4,29],[1,2,96],[1,3,100],[1,4,3],[2,3,47],[2,4,45],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,2)=10,(0,3)=20,(0,1)=25,(0,4)=29,(2,4)=45,(2,3)=47,(3,4)=95,(1,2)=96,(1,3)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=33\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=58\",\"Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=58\",\"Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=58\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=58\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=58\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=58\",\"Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,10],[0,3,20],[0,4,29],[1,2,96],[1,3,100],[1,4,3],[2,3,47],[2,4,45],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,2)=10,(0,3)=20,(0,1)=25,(0,4)=29,(2,4)=45,(2,3)=47,(3,4)=95,(1,2)=96,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=100 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,32],[0,2,6],[0,4,18],[0,5,26],[1,2,14],[1,3,96],[2,3,44],[2,5,68],[2,6,29],[3,5,28],[4,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,6],[0,4,18],[0,5,26],[1,2,14],[1,3,96],[2,3,44],[2,5,68],[2,6,29],[3,5,28],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,6],[0,4,18],[0,5,26],[1,2,14],[1,3,96],[2,3,44],[2,5,68],[2,6,29],[3,5,28],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,6)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,6],[0,4,18],[0,5,26],[1,2,14],[1,3,96],[2,3,44],[2,5,68],[2,6,29],[3,5,28],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (1,2)=14, w=20\",\"Add (0,4)=18, w=38\",\"Add (0,5)=26, w=64\",\"Add (3,5)=28, w=92\",\"Add (2,6)=29, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,6],[0,4,18],[0,5,26],[1,2,14],[1,3,96],[2,3,44],[2,5,68],[2,6,29],[3,5,28],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (1,2)=14 Succeeded, w=20\",\"Add (0,4)=18 Succeeded, w=38\",\"Add (0,5)=26 Succeeded, w=64\",\"Add (3,5)=28 Succeeded, w=92\",\"Add (2,6)=29 Succeeded, w=121\",\"Add (0,1)=32 Failed, w=121\",\"Add (2,3)=44 Failed, w=121\",\"Add (2,5)=68 Failed, w=121\",\"Add (4,5)=80 Failed, w=121\",\"Add (1,3)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,6],[0,4,18],[0,5,26],[1,2,14],[1,3,96],[2,3,44],[2,5,68],[2,6,29],[3,5,28],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,2)=14,(0,4)=18,(0,5)=26,(3,5)=28,(2,6)=29,(0,1)=32,(2,3)=44,(2,5)=68,(4,5)=80,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=0, Add (1,2)=14 Succeeded, w=20\",\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=38\",\"Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=64\",\"Find(3)=3, Find(5)=0, Add (3,5)=28 Succeeded, w=92\",\"Find(2)=0, Find(6)=6, Add (2,6)=29 Succeeded, w=121\",\"Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=121\",\"Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=121\",\"Find(2)=0, Find(5)=0, Add (2,5)=68 Failed, w=121\",\"Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=121\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,6],[0,4,18],[0,5,26],[1,2,14],[1,3,96],[2,3,44],[2,5,68],[2,6,29],[3,5,28],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(1,2)=14,(0,4)=18,(0,5)=26,(3,5)=28,(2,6)=29,(0,1)=32,(2,3)=44,(2,5)=68,(4,5)=80,(1,3)=96]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=0, Add (1,2)=14 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=3, Find(5)=0, Add (3,5)=28 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=29 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=68 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,92],[0,3,56],[0,6,31],[1,2,63],[1,4,71],[1,5,86],[1,6,65],[2,3,87],[2,5,32],[2,6,91],[3,4,61],[3,5,79],[3,7,20],[4,5,94],[4,7,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,3,56],[0,6,31],[1,2,63],[1,4,71],[1,5,86],[1,6,65],[2,3,87],[2,5,32],[2,6,91],[3,4,61],[3,5,79],[3,7,20],[4,5,94],[4,7,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":321}",
"role": "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],[0,3,56],[0,6,31],[1,2,63],[1,4,71],[1,5,86],[1,6,65],[2,3,87],[2,5,32],[2,6,91],[3,4,61],[3,5,79],[3,7,20],[4,5,94],[4,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (4,7)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (1,6)\"],\"Answer\":321}",
"role": "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],[0,3,56],[0,6,31],[1,2,63],[1,4,71],[1,5,86],[1,6,65],[2,3,87],[2,5,32],[2,6,91],[3,4,61],[3,5,79],[3,7,20],[4,5,94],[4,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=20, w=20\",\"Add (0,6)=31, w=51\",\"Add (2,5)=32, w=83\",\"Add (4,7)=54, w=137\",\"Add (0,3)=56, w=193\",\"Add (1,2)=63, w=256\",\"Add (1,6)=65, w=321\"],\"Answer\":321}",
"role": "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],[0,3,56],[0,6,31],[1,2,63],[1,4,71],[1,5,86],[1,6,65],[2,3,87],[2,5,32],[2,6,91],[3,4,61],[3,5,79],[3,7,20],[4,5,94],[4,7,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=20 Succeeded, w=20\",\"Add (0,6)=31 Succeeded, w=51\",\"Add (2,5)=32 Succeeded, w=83\",\"Add (4,7)=54 Succeeded, w=137\",\"Add (0,3)=56 Succeeded, w=193\",\"Add (3,4)=61 Failed, w=193\",\"Add (1,2)=63 Succeeded, w=256\",\"Add (1,6)=65 Succeeded, w=321\",\"Add (1,4)=71 Failed, w=321\",\"Add (3,5)=79 Failed, w=321\",\"Add (1,5)=86 Failed, w=321\",\"Add (2,3)=87 Failed, w=321\",\"Add (2,6)=91 Failed, w=321\",\"Add (0,1)=92 Failed, w=321\",\"Add (4,5)=94 Failed, w=321\"],\"Answer\":321}",
"role": "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],[0,3,56],[0,6,31],[1,2,63],[1,4,71],[1,5,86],[1,6,65],[2,3,87],[2,5,32],[2,6,91],[3,4,61],[3,5,79],[3,7,20],[4,5,94],[4,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=20,(0,6)=31,(2,5)=32,(4,7)=54,(0,3)=56,(3,4)=61,(1,2)=63,(1,6)=65,(1,4)=71,(3,5)=79,(1,5)=86,(2,3)=87,(2,6)=91,(0,1)=92,(4,5)=94]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=20 Succeeded, w=20\",\"Find(0)=0, Find(6)=6, Add (0,6)=31 Succeeded, w=51\",\"Find(2)=2, Find(5)=5, Add (2,5)=32 Succeeded, w=83\",\"Find(4)=4, Find(7)=3, Add (4,7)=54 Succeeded, w=137\",\"Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=193\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=193\",\"Find(1)=1, Find(2)=2, Add (1,2)=63 Succeeded, w=256\",\"Find(1)=2, Find(6)=0, Add (1,6)=65 Succeeded, w=321\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=321\",\"Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=321\",\"Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=321\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=321\",\"Find(2)=0, Find(6)=0, Add (2,6)=91 Failed, w=321\",\"Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=321\",\"Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=321\"],\"Answer\":321}",
"role": "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],[0,3,56],[0,6,31],[1,2,63],[1,4,71],[1,5,86],[1,6,65],[2,3,87],[2,5,32],[2,6,91],[3,4,61],[3,5,79],[3,7,20],[4,5,94],[4,7,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=20,(0,6)=31,(2,5)=32,(4,7)=54,(0,3)=56,(3,4)=61,(1,2)=63,(1,6)=65,(1,4)=71,(3,5)=79,(1,5)=86,(2,3)=87,(2,6)=91,(0,1)=92,(4,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 3}, Find(0)=0, Find(6)=6, Add (0,6)=31 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 3}, Find(2)=2, Find(5)=5, Add (2,5)=32 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 0, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=54 Succeeded, w=137\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 3, 5: 2, 6: 0, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=193\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 3}, Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=193\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 3}, Find(1)=1, Find(2)=2, Add (1,2)=63 Succeeded, w=256\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 3}, Find(1)=2, Find(6)=0, Add (1,6)=65 Succeeded, w=321\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 3}, Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=321\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=321\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=321\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=321\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(6)=0, Add (2,6)=91 Failed, w=321\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=321\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=321\"],\"Answer\":321}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,38],[0,2,71],[0,3,3],[0,4,98],[0,5,63],[0,6,99],[0,7,14],[1,3,97],[1,4,83],[1,7,98],[2,4,24],[2,5,87],[3,4,47],[3,5,88],[3,6,93],[3,7,45],[4,5,94],[4,6,74],[4,7,7],[5,6,69],[5,7,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,71],[0,3,3],[0,4,98],[0,5,63],[0,6,99],[0,7,14],[1,3,97],[1,4,83],[1,7,98],[2,4,24],[2,5,87],[3,4,47],[3,5,88],[3,6,93],[3,7,45],[4,5,94],[4,6,74],[4,7,7],[5,6,69],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,71],[0,3,3],[0,4,98],[0,5,63],[0,6,99],[0,7,14],[1,3,97],[1,4,83],[1,7,98],[2,4,24],[2,5,87],[3,4,47],[3,5,88],[3,6,93],[3,7,45],[4,5,94],[4,6,74],[4,7,7],[5,6,69],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,7)\",\"Add (0,7)\",\"Add (2,4)\",\"Add (5,7)\",\"Add (0,1)\",\"Add (5,6)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,71],[0,3,3],[0,4,98],[0,5,63],[0,6,99],[0,7,14],[1,3,97],[1,4,83],[1,7,98],[2,4,24],[2,5,87],[3,4,47],[3,5,88],[3,6,93],[3,7,45],[4,5,94],[4,6,74],[4,7,7],[5,6,69],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (4,7)=7, w=10\",\"Add (0,7)=14, w=24\",\"Add (2,4)=24, w=48\",\"Add (5,7)=26, w=74\",\"Add (0,1)=38, w=112\",\"Add (5,6)=69, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,71],[0,3,3],[0,4,98],[0,5,63],[0,6,99],[0,7,14],[1,3,97],[1,4,83],[1,7,98],[2,4,24],[2,5,87],[3,4,47],[3,5,88],[3,6,93],[3,7,45],[4,5,94],[4,6,74],[4,7,7],[5,6,69],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (4,7)=7 Succeeded, w=10\",\"Add (0,7)=14 Succeeded, w=24\",\"Add (2,4)=24 Succeeded, w=48\",\"Add (5,7)=26 Succeeded, w=74\",\"Add (0,1)=38 Succeeded, w=112\",\"Add (3,7)=45 Failed, w=112\",\"Add (3,4)=47 Failed, w=112\",\"Add (0,5)=63 Failed, w=112\",\"Add (5,6)=69 Succeeded, w=181\",\"Add (0,2)=71 Failed, w=181\",\"Add (4,6)=74 Failed, w=181\",\"Add (1,4)=83 Failed, w=181\",\"Add (2,5)=87 Failed, w=181\",\"Add (3,5)=88 Failed, w=181\",\"Add (3,6)=93 Failed, w=181\",\"Add (4,5)=94 Failed, w=181\",\"Add (1,3)=97 Failed, w=181\",\"Add (0,4)=98 Failed, w=181\",\"Add (1,7)=98 Failed, w=181\",\"Add (0,6)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,71],[0,3,3],[0,4,98],[0,5,63],[0,6,99],[0,7,14],[1,3,97],[1,4,83],[1,7,98],[2,4,24],[2,5,87],[3,4,47],[3,5,88],[3,6,93],[3,7,45],[4,5,94],[4,6,74],[4,7,7],[5,6,69],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(4,7)=7,(0,7)=14,(2,4)=24,(5,7)=26,(0,1)=38,(3,7)=45,(3,4)=47,(0,5)=63,(5,6)=69,(0,2)=71,(4,6)=74,(1,4)=83,(2,5)=87,(3,5)=88,(3,6)=93,(4,5)=94,(1,3)=97,(0,4)=98,(1,7)=98,(0,6)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=10\",\"Find(0)=0, Find(7)=4, Add (0,7)=14 Succeeded, w=24\",\"Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=48\",\"Find(5)=5, Find(7)=0, Add (5,7)=26 Succeeded, w=74\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=112\",\"Find(3)=0, Find(7)=0, Add (3,7)=45 Failed, w=112\",\"Find(3)=0, Find(4)=0, Add (3,4)=47 Failed, w=112\",\"Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=112\",\"Find(5)=0, Find(6)=6, Add (5,6)=69 Succeeded, w=181\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=181\",\"Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=181\",\"Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=181\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=181\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=181\",\"Find(3)=0, Find(6)=0, Add (3,6)=93 Failed, w=181\",\"Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=181\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=181\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=181\",\"Find(1)=0, Find(7)=0, Add (1,7)=98 Failed, w=181\",\"Find(0)=0, Find(6)=0, Add (0,6)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,38],[0,2,71],[0,3,3],[0,4,98],[0,5,63],[0,6,99],[0,7,14],[1,3,97],[1,4,83],[1,7,98],[2,4,24],[2,5,87],[3,4,47],[3,5,88],[3,6,93],[3,7,45],[4,5,94],[4,6,74],[4,7,7],[5,6,69],[5,7,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(4,7)=7,(0,7)=14,(2,4)=24,(5,7)=26,(0,1)=38,(3,7)=45,(3,4)=47,(0,5)=63,(5,6)=69,(0,2)=71,(4,6)=74,(1,4)=83,(2,5)=87,(3,5)=88,(3,6)=93,(4,5)=94,(1,3)=97,(0,4)=98,(1,7)=98,(0,6)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 4}, Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=26 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=45 Failed, w=112\",\"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)=47 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=6, Add (5,6)=69 Succeeded, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=83 Failed, w=181\",\"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)=87 Failed, w=181\",\"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)=88 Failed, w=181\",\"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)=93 Failed, w=181\",\"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)=94 Failed, w=181\",\"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)=97 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=181\",\"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)=98 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,93],[0,3,31],[0,6,8],[0,7,38],[1,2,12],[1,3,83],[1,5,26],[1,6,54],[2,3,19],[2,5,1],[2,7,98],[3,4,16],[4,5,81],[4,6,87],[4,7,55],[5,6,19],[5,7,44],[6,7,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,31],[0,6,8],[0,7,38],[1,2,12],[1,3,83],[1,5,26],[1,6,54],[2,3,19],[2,5,1],[2,7,98],[3,4,16],[4,5,81],[4,6,87],[4,7,55],[5,6,19],[5,7,44],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,31],[0,6,8],[0,7,38],[1,2,12],[1,3,83],[1,5,26],[1,6,54],[2,3,19],[2,5,1],[2,7,98],[3,4,16],[4,5,81],[4,6,87],[4,7,55],[5,6,19],[5,7,44],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (2,3)\",\"Add (5,6)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,31],[0,6,8],[0,7,38],[1,2,12],[1,3,83],[1,5,26],[1,6,54],[2,3,19],[2,5,1],[2,7,98],[3,4,16],[4,5,81],[4,6,87],[4,7,55],[5,6,19],[5,7,44],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (0,6)=8, w=9\",\"Add (1,2)=12, w=21\",\"Add (3,4)=16, w=37\",\"Add (6,7)=18, w=55\",\"Add (2,3)=19, w=74\",\"Add (5,6)=19, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,31],[0,6,8],[0,7,38],[1,2,12],[1,3,83],[1,5,26],[1,6,54],[2,3,19],[2,5,1],[2,7,98],[3,4,16],[4,5,81],[4,6,87],[4,7,55],[5,6,19],[5,7,44],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (0,6)=8 Succeeded, w=9\",\"Add (1,2)=12 Succeeded, w=21\",\"Add (3,4)=16 Succeeded, w=37\",\"Add (6,7)=18 Succeeded, w=55\",\"Add (2,3)=19 Succeeded, w=74\",\"Add (5,6)=19 Succeeded, w=93\",\"Add (1,5)=26 Failed, w=93\",\"Add (0,3)=31 Failed, w=93\",\"Add (0,7)=38 Failed, w=93\",\"Add (5,7)=44 Failed, w=93\",\"Add (1,6)=54 Failed, w=93\",\"Add (4,7)=55 Failed, w=93\",\"Add (4,5)=81 Failed, w=93\",\"Add (1,3)=83 Failed, w=93\",\"Add (4,6)=87 Failed, w=93\",\"Add (0,2)=93 Failed, w=93\",\"Add (2,7)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,31],[0,6,8],[0,7,38],[1,2,12],[1,3,83],[1,5,26],[1,6,54],[2,3,19],[2,5,1],[2,7,98],[3,4,16],[4,5,81],[4,6,87],[4,7,55],[5,6,19],[5,7,44],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(0,6)=8,(1,2)=12,(3,4)=16,(6,7)=18,(2,3)=19,(5,6)=19,(1,5)=26,(0,3)=31,(0,7)=38,(5,7)=44,(1,6)=54,(4,7)=55,(4,5)=81,(1,3)=83,(4,6)=87,(0,2)=93,(2,7)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=21\",\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=37\",\"Find(6)=0, Find(7)=7, Add (6,7)=18 Succeeded, w=55\",\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=74\",\"Find(5)=2, Find(6)=0, Add (5,6)=19 Succeeded, w=93\",\"Find(1)=2, Find(5)=2, Add (1,5)=26 Failed, w=93\",\"Find(0)=2, Find(3)=2, Add (0,3)=31 Failed, w=93\",\"Find(0)=2, Find(7)=2, Add (0,7)=38 Failed, w=93\",\"Find(5)=2, Find(7)=2, Add (5,7)=44 Failed, w=93\",\"Find(1)=2, Find(6)=2, Add (1,6)=54 Failed, w=93\",\"Find(4)=2, Find(7)=2, Add (4,7)=55 Failed, w=93\",\"Find(4)=2, Find(5)=2, Add (4,5)=81 Failed, w=93\",\"Find(1)=2, Find(3)=2, Add (1,3)=83 Failed, w=93\",\"Find(4)=2, Find(6)=2, Add (4,6)=87 Failed, w=93\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=93\",\"Find(2)=2, Find(7)=2, Add (2,7)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,93],[0,3,31],[0,6,8],[0,7,38],[1,2,12],[1,3,83],[1,5,26],[1,6,54],[2,3,19],[2,5,1],[2,7,98],[3,4,16],[4,5,81],[4,6,87],[4,7,55],[5,6,19],[5,7,44],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(0,6)=8,(1,2)=12,(3,4)=16,(6,7)=18,(2,3)=19,(5,6)=19,(1,5)=26,(0,3)=31,(0,7)=38,(5,7)=44,(1,6)=54,(4,7)=55,(4,5)=81,(1,3)=83,(4,6)=87,(0,2)=93,(2,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 0, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=37\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=18 Succeeded, w=55\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 0, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 0, 7: 0}, Find(5)=2, Find(6)=0, Add (5,6)=19 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 0, 7: 0}, Find(1)=2, Find(5)=2, Add (1,5)=26 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 0, 7: 0}, Find(0)=2, Find(3)=2, Add (0,3)=31 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 0, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=38 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 0, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=44 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=54 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=55 Failed, w=93\",\"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)=81 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=83 Failed, w=93\",\"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)=87 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=93\",\"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)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,79],[0,5,32],[0,6,57],[0,7,46],[1,2,66],[1,4,71],[1,5,2],[3,4,41],[3,5,23],[3,7,98],[4,7,48],[5,6,38],[5,7,31],[6,7,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,32],[0,6,57],[0,7,46],[1,2,66],[1,4,71],[1,5,2],[3,4,41],[3,5,23],[3,7,98],[4,7,48],[5,6,38],[5,7,31],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,32],[0,6,57],[0,7,46],[1,2,66],[1,4,71],[1,5,2],[3,4,41],[3,5,23],[3,7,98],[4,7,48],[5,6,38],[5,7,31],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,5)\",\"Add (5,7)\",\"Add (0,5)\",\"Add (6,7)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,32],[0,6,57],[0,7,46],[1,2,66],[1,4,71],[1,5,2],[3,4,41],[3,5,23],[3,7,98],[4,7,48],[5,6,38],[5,7,31],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2, w=2\",\"Add (3,5)=23, w=25\",\"Add (5,7)=31, w=56\",\"Add (0,5)=32, w=88\",\"Add (6,7)=35, w=123\",\"Add (3,4)=41, w=164\",\"Add (1,2)=66, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,32],[0,6,57],[0,7,46],[1,2,66],[1,4,71],[1,5,2],[3,4,41],[3,5,23],[3,7,98],[4,7,48],[5,6,38],[5,7,31],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2 Succeeded, w=2\",\"Add (3,5)=23 Succeeded, w=25\",\"Add (5,7)=31 Succeeded, w=56\",\"Add (0,5)=32 Succeeded, w=88\",\"Add (6,7)=35 Succeeded, w=123\",\"Add (5,6)=38 Failed, w=123\",\"Add (3,4)=41 Succeeded, w=164\",\"Add (0,7)=46 Failed, w=164\",\"Add (4,7)=48 Failed, w=164\",\"Add (0,6)=57 Failed, w=164\",\"Add (1,2)=66 Succeeded, w=230\",\"Add (1,4)=71 Failed, w=230\",\"Add (0,1)=79 Failed, w=230\",\"Add (3,7)=98 Failed, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,32],[0,6,57],[0,7,46],[1,2,66],[1,4,71],[1,5,2],[3,4,41],[3,5,23],[3,7,98],[4,7,48],[5,6,38],[5,7,31],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(3,5)=23,(5,7)=31,(0,5)=32,(6,7)=35,(5,6)=38,(3,4)=41,(0,7)=46,(4,7)=48,(0,6)=57,(1,2)=66,(1,4)=71,(0,1)=79,(3,7)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=1, Add (3,5)=23 Succeeded, w=25\",\"Find(5)=1, Find(7)=7, Add (5,7)=31 Succeeded, w=56\",\"Find(0)=0, Find(5)=1, Add (0,5)=32 Succeeded, w=88\",\"Find(6)=6, Find(7)=1, Add (6,7)=35 Succeeded, w=123\",\"Find(5)=1, Find(6)=1, Add (5,6)=38 Failed, w=123\",\"Find(3)=1, Find(4)=4, Add (3,4)=41 Succeeded, w=164\",\"Find(0)=1, Find(7)=1, Add (0,7)=46 Failed, w=164\",\"Find(4)=1, Find(7)=1, Add (4,7)=48 Failed, w=164\",\"Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=164\",\"Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=230\",\"Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=230\",\"Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=230\",\"Find(3)=1, Find(7)=1, Add (3,7)=98 Failed, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,5,32],[0,6,57],[0,7,46],[1,2,66],[1,4,71],[1,5,2],[3,4,41],[3,5,23],[3,7,98],[4,7,48],[5,6,38],[5,7,31],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(3,5)=23,(5,7)=31,(0,5)=32,(6,7)=35,(5,6)=38,(3,4)=41,(0,7)=46,(4,7)=48,(0,6)=57,(1,2)=66,(1,4)=71,(0,1)=79,(3,7)=98]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(3)=3, Find(5)=1, Add (3,5)=23 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=31 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=32 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=35 Succeeded, w=123\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=38 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=4, Add (3,4)=41 Succeeded, w=164\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=46 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=48 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=230\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=230\",\"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)=79 Failed, w=230\",\"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=230\"],\"Answer\":230}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,95],[0,2,12],[0,3,71],[0,4,27],[0,5,72],[0,6,33],[0,7,73],[1,2,31],[1,3,76],[1,4,80],[1,5,59],[1,7,16],[2,3,35],[2,4,83],[2,5,49],[2,6,94],[2,7,99],[3,4,40],[3,5,45],[3,6,11],[3,7,87],[4,5,68],[4,6,39],[4,7,27],[5,6,16],[5,7,49],[6,7,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,12],[0,3,71],[0,4,27],[0,5,72],[0,6,33],[0,7,73],[1,2,31],[1,3,76],[1,4,80],[1,5,59],[1,7,16],[2,3,35],[2,4,83],[2,5,49],[2,6,94],[2,7,99],[3,4,40],[3,5,45],[3,6,11],[3,7,87],[4,5,68],[4,6,39],[4,7,27],[5,6,16],[5,7,49],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,12],[0,3,71],[0,4,27],[0,5,72],[0,6,33],[0,7,73],[1,2,31],[1,3,76],[1,4,80],[1,5,59],[1,7,16],[2,3,35],[2,4,83],[2,5,49],[2,6,94],[2,7,99],[3,4,40],[3,5,45],[3,6,11],[3,7,87],[4,5,68],[4,6,39],[4,7,27],[5,6,16],[5,7,49],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,2)\",\"Add (1,7)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (4,7)\",\"Add (0,6)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,12],[0,3,71],[0,4,27],[0,5,72],[0,6,33],[0,7,73],[1,2,31],[1,3,76],[1,4,80],[1,5,59],[1,7,16],[2,3,35],[2,4,83],[2,5,49],[2,6,94],[2,7,99],[3,4,40],[3,5,45],[3,6,11],[3,7,87],[4,5,68],[4,6,39],[4,7,27],[5,6,16],[5,7,49],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=11, w=11\",\"Add (0,2)=12, w=23\",\"Add (1,7)=16, w=39\",\"Add (5,6)=16, w=55\",\"Add (0,4)=27, w=82\",\"Add (4,7)=27, w=109\",\"Add (0,6)=33, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,12],[0,3,71],[0,4,27],[0,5,72],[0,6,33],[0,7,73],[1,2,31],[1,3,76],[1,4,80],[1,5,59],[1,7,16],[2,3,35],[2,4,83],[2,5,49],[2,6,94],[2,7,99],[3,4,40],[3,5,45],[3,6,11],[3,7,87],[4,5,68],[4,6,39],[4,7,27],[5,6,16],[5,7,49],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=11 Succeeded, w=11\",\"Add (0,2)=12 Succeeded, w=23\",\"Add (1,7)=16 Succeeded, w=39\",\"Add (5,6)=16 Succeeded, w=55\",\"Add (0,4)=27 Succeeded, w=82\",\"Add (4,7)=27 Succeeded, w=109\",\"Add (1,2)=31 Failed, w=109\",\"Add (0,6)=33 Succeeded, w=142\",\"Add (2,3)=35 Failed, w=142\",\"Add (4,6)=39 Failed, w=142\",\"Add (3,4)=40 Failed, w=142\",\"Add (3,5)=45 Failed, w=142\",\"Add (2,5)=49 Failed, w=142\",\"Add (5,7)=49 Failed, w=142\",\"Add (6,7)=55 Failed, w=142\",\"Add (1,5)=59 Failed, w=142\",\"Add (4,5)=68 Failed, w=142\",\"Add (0,3)=71 Failed, w=142\",\"Add (0,5)=72 Failed, w=142\",\"Add (0,7)=73 Failed, w=142\",\"Add (1,3)=76 Failed, w=142\",\"Add (1,4)=80 Failed, w=142\",\"Add (2,4)=83 Failed, w=142\",\"Add (3,7)=87 Failed, w=142\",\"Add (2,6)=94 Failed, w=142\",\"Add (0,1)=95 Failed, w=142\",\"Add (2,7)=99 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,12],[0,3,71],[0,4,27],[0,5,72],[0,6,33],[0,7,73],[1,2,31],[1,3,76],[1,4,80],[1,5,59],[1,7,16],[2,3,35],[2,4,83],[2,5,49],[2,6,94],[2,7,99],[3,4,40],[3,5,45],[3,6,11],[3,7,87],[4,5,68],[4,6,39],[4,7,27],[5,6,16],[5,7,49],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=11,(0,2)=12,(1,7)=16,(5,6)=16,(0,4)=27,(4,7)=27,(1,2)=31,(0,6)=33,(2,3)=35,(4,6)=39,(3,4)=40,(3,5)=45,(2,5)=49,(5,7)=49,(6,7)=55,(1,5)=59,(4,5)=68,(0,3)=71,(0,5)=72,(0,7)=73,(1,3)=76,(1,4)=80,(2,4)=83,(3,7)=87,(2,6)=94,(0,1)=95,(2,7)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=23\",\"Find(1)=1, Find(7)=7, Add (1,7)=16 Succeeded, w=39\",\"Find(5)=5, Find(6)=3, Add (5,6)=16 Succeeded, w=55\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=82\",\"Find(4)=0, Find(7)=1, Add (4,7)=27 Succeeded, w=109\",\"Find(1)=0, Find(2)=0, Add (1,2)=31 Failed, w=109\",\"Find(0)=0, Find(6)=3, Add (0,6)=33 Succeeded, w=142\",\"Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=142\",\"Find(4)=0, Find(6)=0, Add (4,6)=39 Failed, w=142\",\"Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=142\",\"Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=142\",\"Find(2)=0, Find(5)=0, Add (2,5)=49 Failed, w=142\",\"Find(5)=0, Find(7)=0, Add (5,7)=49 Failed, w=142\",\"Find(6)=0, Find(7)=0, Add (6,7)=55 Failed, w=142\",\"Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=142\",\"Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=142\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=142\",\"Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=142\",\"Find(0)=0, Find(7)=0, Add (0,7)=73 Failed, w=142\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=142\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=142\",\"Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=142\",\"Find(3)=0, Find(7)=0, Add (3,7)=87 Failed, w=142\",\"Find(2)=0, Find(6)=0, Add (2,6)=94 Failed, w=142\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=142\",\"Find(2)=0, Find(7)=0, Add (2,7)=99 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,12],[0,3,71],[0,4,27],[0,5,72],[0,6,33],[0,7,73],[1,2,31],[1,3,76],[1,4,80],[1,5,59],[1,7,16],[2,3,35],[2,4,83],[2,5,49],[2,6,94],[2,7,99],[3,4,40],[3,5,45],[3,6,11],[3,7,87],[4,5,68],[4,6,39],[4,7,27],[5,6,16],[5,7,49],[6,7,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=11,(0,2)=12,(1,7)=16,(5,6)=16,(0,4)=27,(4,7)=27,(1,2)=31,(0,6)=33,(2,3)=35,(4,6)=39,(3,4)=40,(3,5)=45,(2,5)=49,(5,7)=49,(6,7)=55,(1,5)=59,(4,5)=68,(0,3)=71,(0,5)=72,(0,7)=73,(1,3)=76,(1,4)=80,(2,4)=83,(3,7)=87,(2,6)=94,(0,1)=95,(2,7)=99]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=16 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 3, 7: 1}, Find(5)=5, Find(6)=3, Add (5,6)=16 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 3, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3, 6: 3, 7: 1}, Find(4)=0, Find(7)=1, Add (4,7)=27 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3, 6: 3, 7: 1}, Find(1)=0, Find(2)=0, Add (1,2)=31 Failed, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 3, 7: 1}, Find(0)=0, Find(6)=3, Add (0,6)=33 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 3, 7: 1}, Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 1}, Find(4)=0, Find(6)=0, Add (4,6)=39 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 1}, Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(2)=0, Find(5)=0, Add (2,5)=49 Failed, w=142\",\"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=142\",\"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)=55 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=142\",\"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)=68 Failed, w=142\",\"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)=71 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=73 Failed, w=142\",\"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)=76 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=83 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=87 Failed, w=142\",\"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)=94 Failed, w=142\",\"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)=95 Failed, w=142\",\"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)=99 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,5],[0,3,13],[0,5,52],[0,6,7],[0,7,93],[1,2,41],[1,3,37],[1,4,3],[1,5,91],[1,6,46],[1,7,12],[2,4,95],[2,5,93],[2,7,52],[3,4,43],[3,5,34],[3,6,33],[3,7,70],[4,6,63],[5,6,61],[6,7,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,5],[0,3,13],[0,5,52],[0,6,7],[0,7,93],[1,2,41],[1,3,37],[1,4,3],[1,5,91],[1,6,46],[1,7,12],[2,4,95],[2,5,93],[2,7,52],[3,4,43],[3,5,34],[3,6,33],[3,7,70],[4,6,63],[5,6,61],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,5],[0,3,13],[0,5,52],[0,6,7],[0,7,93],[1,2,41],[1,3,37],[1,4,3],[1,5,91],[1,6,46],[1,7,12],[2,4,95],[2,5,93],[2,7,52],[3,4,43],[3,5,34],[3,6,33],[3,7,70],[4,6,63],[5,6,61],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (6,7)\",\"Add (1,7)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,5],[0,3,13],[0,5,52],[0,6,7],[0,7,93],[1,2,41],[1,3,37],[1,4,3],[1,5,91],[1,6,46],[1,7,12],[2,4,95],[2,5,93],[2,7,52],[3,4,43],[3,5,34],[3,6,33],[3,7,70],[4,6,63],[5,6,61],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (0,2)=5, w=8\",\"Add (0,6)=7, w=15\",\"Add (6,7)=11, w=26\",\"Add (1,7)=12, w=38\",\"Add (0,3)=13, w=51\",\"Add (3,5)=34, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,5],[0,3,13],[0,5,52],[0,6,7],[0,7,93],[1,2,41],[1,3,37],[1,4,3],[1,5,91],[1,6,46],[1,7,12],[2,4,95],[2,5,93],[2,7,52],[3,4,43],[3,5,34],[3,6,33],[3,7,70],[4,6,63],[5,6,61],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (0,2)=5 Succeeded, w=8\",\"Add (0,6)=7 Succeeded, w=15\",\"Add (6,7)=11 Succeeded, w=26\",\"Add (1,7)=12 Succeeded, w=38\",\"Add (0,3)=13 Succeeded, w=51\",\"Add (3,6)=33 Failed, w=51\",\"Add (3,5)=34 Succeeded, w=85\",\"Add (1,3)=37 Failed, w=85\",\"Add (1,2)=41 Failed, w=85\",\"Add (3,4)=43 Failed, w=85\",\"Add (1,6)=46 Failed, w=85\",\"Add (0,5)=52 Failed, w=85\",\"Add (2,7)=52 Failed, w=85\",\"Add (5,6)=61 Failed, w=85\",\"Add (4,6)=63 Failed, w=85\",\"Add (3,7)=70 Failed, w=85\",\"Add (1,5)=91 Failed, w=85\",\"Add (0,7)=93 Failed, w=85\",\"Add (2,5)=93 Failed, w=85\",\"Add (2,4)=95 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,5],[0,3,13],[0,5,52],[0,6,7],[0,7,93],[1,2,41],[1,3,37],[1,4,3],[1,5,91],[1,6,46],[1,7,12],[2,4,95],[2,5,93],[2,7,52],[3,4,43],[3,5,34],[3,6,33],[3,7,70],[4,6,63],[5,6,61],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,2)=5,(0,6)=7,(6,7)=11,(1,7)=12,(0,3)=13,(3,6)=33,(3,5)=34,(1,3)=37,(1,2)=41,(3,4)=43,(1,6)=46,(0,5)=52,(2,7)=52,(5,6)=61,(4,6)=63,(3,7)=70,(1,5)=91,(0,7)=93,(2,5)=93,(2,4)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=8\",\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=15\",\"Find(6)=0, Find(7)=7, Add (6,7)=11 Succeeded, w=26\",\"Find(1)=1, Find(7)=0, Add (1,7)=12 Succeeded, w=38\",\"Find(0)=1, Find(3)=3, Add (0,3)=13 Succeeded, w=51\",\"Find(3)=1, Find(6)=1, Add (3,6)=33 Failed, w=51\",\"Find(3)=1, Find(5)=5, Add (3,5)=34 Succeeded, w=85\",\"Find(1)=1, Find(3)=1, Add (1,3)=37 Failed, w=85\",\"Find(1)=1, Find(2)=1, Add (1,2)=41 Failed, w=85\",\"Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=85\",\"Find(1)=1, Find(6)=1, Add (1,6)=46 Failed, w=85\",\"Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=85\",\"Find(2)=1, Find(7)=1, Add (2,7)=52 Failed, w=85\",\"Find(5)=1, Find(6)=1, Add (5,6)=61 Failed, w=85\",\"Find(4)=1, Find(6)=1, Add (4,6)=63 Failed, w=85\",\"Find(3)=1, Find(7)=1, Add (3,7)=70 Failed, w=85\",\"Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=85\",\"Find(0)=1, Find(7)=1, Add (0,7)=93 Failed, w=85\",\"Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=85\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,5],[0,3,13],[0,5,52],[0,6,7],[0,7,93],[1,2,41],[1,3,37],[1,4,3],[1,5,91],[1,6,46],[1,7,12],[2,4,95],[2,5,93],[2,7,52],[3,4,43],[3,5,34],[3,6,33],[3,7,70],[4,6,63],[5,6,61],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,2)=5,(0,6)=7,(6,7)=11,(1,7)=12,(0,3)=13,(3,6)=33,(3,5)=34,(1,3)=37,(1,2)=41,(3,4)=43,(1,6)=46,(0,5)=52,(2,7)=52,(5,6)=61,(4,6)=63,(3,7)=70,(1,5)=91,(0,7)=93,(2,5)=93,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=11 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=12 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 0, 7: 0}, Find(0)=1, Find(3)=3, Add (0,3)=13 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 1, 7: 0}, Find(3)=1, Find(6)=1, Add (3,6)=33 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(3)=1, Find(5)=5, Add (3,5)=34 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(1)=1, Find(3)=1, Add (1,3)=37 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(1)=1, Find(2)=1, Add (1,2)=41 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(1)=1, Find(6)=1, Add (1,6)=46 Failed, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=85\",\"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)=52 Failed, w=85\",\"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)=61 Failed, w=85\",\"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=85\",\"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)=70 Failed, w=85\",\"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)=91 Failed, w=85\",\"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)=93 Failed, w=85\",\"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)=93 Failed, w=85\",\"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=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[0,3,55],[0,4,55],[1,4,24],[2,3,18],[2,4,32],[3,4,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,3,55],[0,4,55],[1,4,24],[2,3,18],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,3,55],[0,4,55],[1,4,24],[2,3,18],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,3,55],[0,4,55],[1,4,24],[2,3,18],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (1,4)=24, w=42\",\"Add (2,4)=32, w=74\",\"Add (0,3)=55, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,3,55],[0,4,55],[1,4,24],[2,3,18],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (1,4)=24 Succeeded, w=42\",\"Add (2,4)=32 Succeeded, w=74\",\"Add (0,3)=55 Succeeded, w=129\",\"Add (0,4)=55 Failed, w=129\",\"Add (3,4)=61 Failed, w=129\",\"Add (0,1)=77 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,3,55],[0,4,55],[1,4,24],[2,3,18],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(1,4)=24,(2,4)=32,(0,3)=55,(0,4)=55,(3,4)=61,(0,1)=77]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=42\",\"Find(2)=2, Find(4)=1, Add (2,4)=32 Succeeded, w=74\",\"Find(0)=0, Find(3)=2, Add (0,3)=55 Succeeded, w=129\",\"Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=129\",\"Find(3)=2, Find(4)=2, Add (3,4)=61 Failed, w=129\",\"Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,3,55],[0,4,55],[1,4,24],[2,3,18],[2,4,32],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(1,4)=24,(2,4)=32,(0,3)=55,(0,4)=55,(3,4)=61,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=42\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=32 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(3)=2, Add (0,3)=55 Succeeded, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=61 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,85],[0,2,98],[0,3,8],[0,4,40],[0,5,100],[1,2,4],[1,3,17],[1,4,77],[1,5,49],[2,3,58],[2,5,35],[3,4,87],[3,5,36],[4,5,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,98],[0,3,8],[0,4,40],[0,5,100],[1,2,4],[1,3,17],[1,4,77],[1,5,49],[2,3,58],[2,5,35],[3,4,87],[3,5,36],[4,5,23]]}",
"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],\"edges\":[[0,1,85],[0,2,98],[0,3,8],[0,4,40],[0,5,100],[1,2,4],[1,3,17],[1,4,77],[1,5,49],[2,3,58],[2,5,35],[3,4,87],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (2,5)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,98],[0,3,8],[0,4,40],[0,5,100],[1,2,4],[1,3,17],[1,4,77],[1,5,49],[2,3,58],[2,5,35],[3,4,87],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,3)=8, w=12\",\"Add (1,3)=17, w=29\",\"Add (4,5)=23, w=52\",\"Add (2,5)=35, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,98],[0,3,8],[0,4,40],[0,5,100],[1,2,4],[1,3,17],[1,4,77],[1,5,49],[2,3,58],[2,5,35],[3,4,87],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,3)=8 Succeeded, w=12\",\"Add (1,3)=17 Succeeded, w=29\",\"Add (4,5)=23 Succeeded, w=52\",\"Add (2,5)=35 Succeeded, w=87\",\"Add (3,5)=36 Failed, w=87\",\"Add (0,4)=40 Failed, w=87\",\"Add (1,5)=49 Failed, w=87\",\"Add (2,3)=58 Failed, w=87\",\"Add (1,4)=77 Failed, w=87\",\"Add (0,1)=85 Failed, w=87\",\"Add (3,4)=87 Failed, w=87\",\"Add (0,2)=98 Failed, w=87\",\"Add (0,5)=100 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],\"edges\":[[0,1,85],[0,2,98],[0,3,8],[0,4,40],[0,5,100],[1,2,4],[1,3,17],[1,4,77],[1,5,49],[2,3,58],[2,5,35],[3,4,87],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,3)=8,(1,3)=17,(4,5)=23,(2,5)=35,(3,5)=36,(0,4)=40,(1,5)=49,(2,3)=58,(1,4)=77,(0,1)=85,(3,4)=87,(0,2)=98,(0,5)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=12\",\"Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=29\",\"Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=52\",\"Find(2)=1, Find(5)=4, Add (2,5)=35 Succeeded, w=87\",\"Find(3)=1, Find(5)=1, Add (3,5)=36 Failed, w=87\",\"Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=87\",\"Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=87\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=87\",\"Find(1)=1, Find(4)=1, Add (1,4)=77 Failed, w=87\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=87\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=87\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=87\",\"Find(0)=1, Find(5)=1, Add (0,5)=100 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],\"edges\":[[0,1,85],[0,2,98],[0,3,8],[0,4,40],[0,5,100],[1,2,4],[1,3,17],[1,4,77],[1,5,49],[2,3,58],[2,5,35],[3,4,87],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,3)=8,(1,3)=17,(4,5)=23,(2,5)=35,(3,5)=36,(0,4)=40,(1,5)=49,(2,3)=58,(1,4)=77,(0,1)=85,(3,4)=87,(0,2)=98,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 4}, Find(2)=1, Find(5)=4, Add (2,5)=35 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=36 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=49 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=77 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=100 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,70],[0,2,46],[0,4,98],[1,2,75],[1,3,92],[1,4,100],[2,5,34],[3,4,88],[3,5,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,46],[0,4,98],[1,2,75],[1,3,92],[1,4,100],[2,5,34],[3,4,88],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,46],[0,4,98],[1,2,75],[1,3,92],[1,4,100],[2,5,34],[3,4,88],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,46],[0,4,98],[1,2,75],[1,3,92],[1,4,100],[2,5,34],[3,4,88],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=23, w=23\",\"Add (2,5)=34, w=57\",\"Add (0,2)=46, w=103\",\"Add (0,1)=70, w=173\",\"Add (3,4)=88, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,46],[0,4,98],[1,2,75],[1,3,92],[1,4,100],[2,5,34],[3,4,88],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=23 Succeeded, w=23\",\"Add (2,5)=34 Succeeded, w=57\",\"Add (0,2)=46 Succeeded, w=103\",\"Add (0,1)=70 Succeeded, w=173\",\"Add (1,2)=75 Failed, w=173\",\"Add (3,4)=88 Succeeded, w=261\",\"Add (1,3)=92 Failed, w=261\",\"Add (0,4)=98 Failed, w=261\",\"Add (1,4)=100 Failed, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,46],[0,4,98],[1,2,75],[1,3,92],[1,4,100],[2,5,34],[3,4,88],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=23,(2,5)=34,(0,2)=46,(0,1)=70,(1,2)=75,(3,4)=88,(1,3)=92,(0,4)=98,(1,4)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=23\",\"Find(2)=2, Find(5)=3, Add (2,5)=34 Succeeded, w=57\",\"Find(0)=0, Find(2)=3, Add (0,2)=46 Succeeded, w=103\",\"Find(0)=3, Find(1)=1, Add (0,1)=70 Succeeded, w=173\",\"Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=173\",\"Find(3)=3, Find(4)=4, Add (3,4)=88 Succeeded, w=261\",\"Find(1)=3, Find(3)=3, Add (1,3)=92 Failed, w=261\",\"Find(0)=3, Find(4)=3, Add (0,4)=98 Failed, w=261\",\"Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,46],[0,4,98],[1,2,75],[1,3,92],[1,4,100],[2,5,34],[3,4,88],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=23,(2,5)=34,(0,2)=46,(0,1)=70,(1,2)=75,(3,4)=88,(1,3)=92,(0,4)=98,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=34 Succeeded, w=57\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(2)=3, Add (0,2)=46 Succeeded, w=103\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(0)=3, Find(1)=1, Add (0,1)=70 Succeeded, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=173\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=4, Add (3,4)=88 Succeeded, w=261\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=92 Failed, w=261\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=98 Failed, w=261\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=100 Failed, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,72],[0,2,13],[0,3,61],[1,2,79],[1,3,67],[2,3,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,13],[0,3,61],[1,2,79],[1,3,67],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,13],[0,3,61],[1,2,79],[1,3,67],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,13],[0,3,61],[1,2,79],[1,3,67],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,2)=13, w=21\",\"Add (1,3)=67, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,13],[0,3,61],[1,2,79],[1,3,67],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,2)=13 Succeeded, w=21\",\"Add (0,3)=61 Failed, w=21\",\"Add (1,3)=67 Succeeded, w=88\",\"Add (0,1)=72 Failed, w=88\",\"Add (1,2)=79 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,13],[0,3,61],[1,2,79],[1,3,67],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,2)=13,(0,3)=61,(1,3)=67,(0,1)=72,(1,2)=79]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=21\",\"Find(1)=1, Find(3)=2, Add (1,3)=67 Succeeded, w=88\",\"Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=88\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,72],[0,2,13],[0,3,61],[1,2,79],[1,3,67],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,2)=13,(0,3)=61,(1,3)=67,(0,1)=72,(1,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=21\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=67 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,75],[0,2,69],[0,3,69],[0,4,88],[0,6,72],[0,7,35],[1,3,78],[1,5,18],[1,6,62],[1,7,70],[2,3,48],[2,4,97],[2,6,72],[2,7,48],[3,4,12],[3,5,79],[3,7,85],[4,5,99],[4,6,74],[4,7,7],[5,6,84],[5,7,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,69],[0,3,69],[0,4,88],[0,6,72],[0,7,35],[1,3,78],[1,5,18],[1,6,62],[1,7,70],[2,3,48],[2,4,97],[2,6,72],[2,7,48],[3,4,12],[3,5,79],[3,7,85],[4,5,99],[4,6,74],[4,7,7],[5,6,84],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,69],[0,3,69],[0,4,88],[0,6,72],[0,7,35],[1,3,78],[1,5,18],[1,6,62],[1,7,70],[2,3,48],[2,4,97],[2,6,72],[2,7,48],[3,4,12],[3,5,79],[3,7,85],[4,5,99],[4,6,74],[4,7,7],[5,6,84],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (0,7)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (5,7)\"],\"Answer\":248}",
"role": "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],[0,2,69],[0,3,69],[0,4,88],[0,6,72],[0,7,35],[1,3,78],[1,5,18],[1,6,62],[1,7,70],[2,3,48],[2,4,97],[2,6,72],[2,7,48],[3,4,12],[3,5,79],[3,7,85],[4,5,99],[4,6,74],[4,7,7],[5,6,84],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=7, w=7\",\"Add (3,4)=12, w=19\",\"Add (1,5)=18, w=37\",\"Add (0,7)=35, w=72\",\"Add (2,3)=48, w=120\",\"Add (1,6)=62, w=182\",\"Add (5,7)=66, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,69],[0,3,69],[0,4,88],[0,6,72],[0,7,35],[1,3,78],[1,5,18],[1,6,62],[1,7,70],[2,3,48],[2,4,97],[2,6,72],[2,7,48],[3,4,12],[3,5,79],[3,7,85],[4,5,99],[4,6,74],[4,7,7],[5,6,84],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=7 Succeeded, w=7\",\"Add (3,4)=12 Succeeded, w=19\",\"Add (1,5)=18 Succeeded, w=37\",\"Add (0,7)=35 Succeeded, w=72\",\"Add (2,3)=48 Succeeded, w=120\",\"Add (2,7)=48 Failed, w=120\",\"Add (1,6)=62 Succeeded, w=182\",\"Add (5,7)=66 Succeeded, w=248\",\"Add (0,2)=69 Failed, w=248\",\"Add (0,3)=69 Failed, w=248\",\"Add (1,7)=70 Failed, w=248\",\"Add (0,6)=72 Failed, w=248\",\"Add (2,6)=72 Failed, w=248\",\"Add (4,6)=74 Failed, w=248\",\"Add (0,1)=75 Failed, w=248\",\"Add (1,3)=78 Failed, w=248\",\"Add (3,5)=79 Failed, w=248\",\"Add (5,6)=84 Failed, w=248\",\"Add (3,7)=85 Failed, w=248\",\"Add (0,4)=88 Failed, w=248\",\"Add (2,4)=97 Failed, w=248\",\"Add (4,5)=99 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,69],[0,3,69],[0,4,88],[0,6,72],[0,7,35],[1,3,78],[1,5,18],[1,6,62],[1,7,70],[2,3,48],[2,4,97],[2,6,72],[2,7,48],[3,4,12],[3,5,79],[3,7,85],[4,5,99],[4,6,74],[4,7,7],[5,6,84],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=7,(3,4)=12,(1,5)=18,(0,7)=35,(2,3)=48,(2,7)=48,(1,6)=62,(5,7)=66,(0,2)=69,(0,3)=69,(1,7)=70,(0,6)=72,(2,6)=72,(4,6)=74,(0,1)=75,(1,3)=78,(3,5)=79,(5,6)=84,(3,7)=85,(0,4)=88,(2,4)=97,(4,5)=99]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=19\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=37\",\"Find(0)=0, Find(7)=4, Add (0,7)=35 Succeeded, w=72\",\"Find(2)=2, Find(3)=4, Add (2,3)=48 Succeeded, w=120\",\"Find(2)=4, Find(7)=4, Add (2,7)=48 Failed, w=120\",\"Find(1)=1, Find(6)=6, Add (1,6)=62 Succeeded, w=182\",\"Find(5)=1, Find(7)=4, Add (5,7)=66 Succeeded, w=248\",\"Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=248\",\"Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=248\",\"Find(1)=1, Find(7)=1, Add (1,7)=70 Failed, w=248\",\"Find(0)=1, Find(6)=1, Add (0,6)=72 Failed, w=248\",\"Find(2)=1, Find(6)=1, Add (2,6)=72 Failed, w=248\",\"Find(4)=1, Find(6)=1, Add (4,6)=74 Failed, w=248\",\"Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=248\",\"Find(1)=1, Find(3)=1, Add (1,3)=78 Failed, w=248\",\"Find(3)=1, Find(5)=1, Add (3,5)=79 Failed, w=248\",\"Find(5)=1, Find(6)=1, Add (5,6)=84 Failed, w=248\",\"Find(3)=1, Find(7)=1, Add (3,7)=85 Failed, w=248\",\"Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=248\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=248\",\"Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,69],[0,3,69],[0,4,88],[0,6,72],[0,7,35],[1,3,78],[1,5,18],[1,6,62],[1,7,70],[2,3,48],[2,4,97],[2,6,72],[2,7,48],[3,4,12],[3,5,79],[3,7,85],[4,5,99],[4,6,74],[4,7,7],[5,6,84],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=7,(3,4)=12,(1,5)=18,(0,7)=35,(2,3)=48,(2,7)=48,(1,6)=62,(5,7)=66,(0,2)=69,(0,3)=69,(1,7)=70,(0,6)=72,(2,6)=72,(4,6)=74,(0,1)=75,(1,3)=78,(3,5)=79,(5,6)=84,(3,7)=85,(0,4)=88,(2,4)=97,(4,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 6, 7: 4}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 1, 6: 6, 7: 4}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=37\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 1, 6: 6, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=35 Succeeded, w=72\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 1, 6: 6, 7: 4}, Find(2)=2, Find(3)=4, Add (2,3)=48 Succeeded, w=120\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 1, 6: 6, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=48 Failed, w=120\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(6)=6, Add (1,6)=62 Succeeded, w=182\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 1, 5: 1, 6: 1, 7: 4}, Find(5)=1, Find(7)=4, Add (5,7)=66 Succeeded, w=248\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 4, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=248\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=248\",\"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)=70 Failed, w=248\",\"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)=72 Failed, w=248\",\"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)=72 Failed, w=248\",\"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)=74 Failed, w=248\",\"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=248\",\"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)=78 Failed, w=248\",\"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)=79 Failed, w=248\",\"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)=84 Failed, w=248\",\"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)=85 Failed, w=248\",\"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)=88 Failed, w=248\",\"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)=97 Failed, w=248\",\"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)=99 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,44],[0,2,3],[0,4,35],[0,5,40],[0,6,60],[0,7,61],[1,2,54],[1,3,97],[1,5,75],[1,6,89],[1,7,31],[2,4,39],[2,6,92],[2,7,50],[3,6,35],[4,5,63],[4,6,56],[4,7,83],[6,7,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,3],[0,4,35],[0,5,40],[0,6,60],[0,7,61],[1,2,54],[1,3,97],[1,5,75],[1,6,89],[1,7,31],[2,4,39],[2,6,92],[2,7,50],[3,6,35],[4,5,63],[4,6,56],[4,7,83],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,3],[0,4,35],[0,5,40],[0,6,60],[0,7,61],[1,2,54],[1,3,97],[1,5,75],[1,6,89],[1,7,31],[2,4,39],[2,6,92],[2,7,50],[3,6,35],[4,5,63],[4,6,56],[4,7,83],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,7)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (6,7)\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,3],[0,4,35],[0,5,40],[0,6,60],[0,7,61],[1,2,54],[1,3,97],[1,5,75],[1,6,89],[1,7,31],[2,4,39],[2,6,92],[2,7,50],[3,6,35],[4,5,63],[4,6,56],[4,7,83],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (1,7)=31, w=34\",\"Add (0,4)=35, w=69\",\"Add (3,6)=35, w=104\",\"Add (0,5)=40, w=144\",\"Add (0,1)=44, w=188\",\"Add (6,7)=47, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,3],[0,4,35],[0,5,40],[0,6,60],[0,7,61],[1,2,54],[1,3,97],[1,5,75],[1,6,89],[1,7,31],[2,4,39],[2,6,92],[2,7,50],[3,6,35],[4,5,63],[4,6,56],[4,7,83],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (1,7)=31 Succeeded, w=34\",\"Add (0,4)=35 Succeeded, w=69\",\"Add (3,6)=35 Succeeded, w=104\",\"Add (2,4)=39 Failed, w=104\",\"Add (0,5)=40 Succeeded, w=144\",\"Add (0,1)=44 Succeeded, w=188\",\"Add (6,7)=47 Succeeded, w=235\",\"Add (2,7)=50 Failed, w=235\",\"Add (1,2)=54 Failed, w=235\",\"Add (4,6)=56 Failed, w=235\",\"Add (0,6)=60 Failed, w=235\",\"Add (0,7)=61 Failed, w=235\",\"Add (4,5)=63 Failed, w=235\",\"Add (1,5)=75 Failed, w=235\",\"Add (4,7)=83 Failed, w=235\",\"Add (1,6)=89 Failed, w=235\",\"Add (2,6)=92 Failed, w=235\",\"Add (1,3)=97 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,3],[0,4,35],[0,5,40],[0,6,60],[0,7,61],[1,2,54],[1,3,97],[1,5,75],[1,6,89],[1,7,31],[2,4,39],[2,6,92],[2,7,50],[3,6,35],[4,5,63],[4,6,56],[4,7,83],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,7)=31,(0,4)=35,(3,6)=35,(2,4)=39,(0,5)=40,(0,1)=44,(6,7)=47,(2,7)=50,(1,2)=54,(4,6)=56,(0,6)=60,(0,7)=61,(4,5)=63,(1,5)=75,(4,7)=83,(1,6)=89,(2,6)=92,(1,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(7)=7, Add (1,7)=31 Succeeded, w=34\",\"Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=69\",\"Find(3)=3, Find(6)=6, Add (3,6)=35 Succeeded, w=104\",\"Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=104\",\"Find(0)=0, Find(5)=5, Add (0,5)=40 Succeeded, w=144\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=188\",\"Find(6)=3, Find(7)=0, Add (6,7)=47 Succeeded, w=235\",\"Find(2)=0, Find(7)=0, Add (2,7)=50 Failed, w=235\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=235\",\"Find(4)=0, Find(6)=0, Add (4,6)=56 Failed, w=235\",\"Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=235\",\"Find(0)=0, Find(7)=0, Add (0,7)=61 Failed, w=235\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=235\",\"Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=235\",\"Find(4)=0, Find(7)=0, Add (4,7)=83 Failed, w=235\",\"Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=235\",\"Find(2)=0, Find(6)=0, Add (2,6)=92 Failed, w=235\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,44],[0,2,3],[0,4,35],[0,5,40],[0,6,60],[0,7,61],[1,2,54],[1,3,97],[1,5,75],[1,6,89],[1,7,31],[2,4,39],[2,6,92],[2,7,50],[3,6,35],[4,5,63],[4,6,56],[4,7,83],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,7)=31,(0,4)=35,(3,6)=35,(2,4)=39,(0,5)=40,(0,1)=44,(6,7)=47,(2,7)=50,(1,2)=54,(4,6)=56,(0,6)=60,(0,7)=61,(4,5)=63,(1,5)=75,(4,7)=83,(1,6)=89,(2,6)=92,(1,3)=97]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=31 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 3, 7: 1}, Find(3)=3, Find(6)=6, Add (3,6)=35 Succeeded, w=104\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 3, 7: 1}, Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=104\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3, 7: 1}, Find(0)=0, Find(5)=5, Add (0,5)=40 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(6)=3, Find(7)=0, Add (6,7)=47 Succeeded, w=235\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=50 Failed, w=235\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=235\",\"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)=56 Failed, w=235\",\"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)=60 Failed, w=235\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=61 Failed, w=235\",\"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)=63 Failed, w=235\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=235\",\"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)=83 Failed, w=235\",\"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)=89 Failed, w=235\",\"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)=92 Failed, w=235\",\"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)=97 Failed, w=235\"],\"Answer\":235}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,24],[0,4,91],[0,5,35],[0,6,90],[2,3,5],[2,6,80],[3,4,97],[3,5,46],[4,6,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,4,91],[0,5,35],[0,6,90],[2,3,5],[2,6,80],[3,4,97],[3,5,46],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,4,91],[0,5,35],[0,6,90],[2,3,5],[2,6,80],[3,4,97],[3,5,46],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (2,6)\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,4,91],[0,5,35],[0,6,90],[2,3,5],[2,6,80],[3,4,97],[3,5,46],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (0,2)=24, w=29\",\"Add (0,5)=35, w=64\",\"Add (4,6)=62, w=126\",\"Add (2,6)=80, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,4,91],[0,5,35],[0,6,90],[2,3,5],[2,6,80],[3,4,97],[3,5,46],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,2)=24 Succeeded, w=29\",\"Add (0,5)=35 Succeeded, w=64\",\"Add (3,5)=46 Failed, w=64\",\"Add (4,6)=62 Succeeded, w=126\",\"Add (2,6)=80 Succeeded, w=206\",\"Add (0,6)=90 Failed, w=206\",\"Add (0,4)=91 Failed, w=206\",\"Add (3,4)=97 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,4,91],[0,5,35],[0,6,90],[2,3,5],[2,6,80],[3,4,97],[3,5,46],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,2)=24,(0,5)=35,(3,5)=46,(4,6)=62,(2,6)=80,(0,6)=90,(0,4)=91,(3,4)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=29\",\"Find(0)=2, Find(5)=5, Add (0,5)=35 Succeeded, w=64\",\"Find(3)=2, Find(5)=2, Add (3,5)=46 Failed, w=64\",\"Find(4)=4, Find(6)=6, Add (4,6)=62 Succeeded, w=126\",\"Find(2)=2, Find(6)=4, Add (2,6)=80 Succeeded, w=206\",\"Find(0)=2, Find(6)=2, Add (0,6)=90 Failed, w=206\",\"Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=206\",\"Find(3)=2, Find(4)=2, Add (3,4)=97 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,24],[0,4,91],[0,5,35],[0,6,90],[2,3,5],[2,6,80],[3,4,97],[3,5,46],[4,6,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,2)=24,(0,5)=35,(3,5)=46,(4,6)=62,(2,6)=80,(0,6)=90,(0,4)=91,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(0)=2, Find(5)=5, Add (0,5)=35 Succeeded, w=64\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(3)=2, Find(5)=2, Add (3,5)=46 Failed, w=64\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=62 Succeeded, w=126\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4}, Find(2)=2, Find(6)=4, Add (2,6)=80 Succeeded, w=206\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=90 Failed, w=206\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=206\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=97 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,74],[0,2,49],[0,3,18],[0,4,2],[0,5,28],[0,6,56],[0,7,81],[1,2,84],[1,3,85],[1,4,9],[1,5,22],[1,6,78],[1,7,49],[2,3,8],[2,4,74],[2,5,44],[2,7,78],[3,4,23],[3,5,55],[3,6,68],[3,7,0],[4,5,68],[4,6,51],[4,7,12],[5,6,86],[5,7,1],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,18],[0,4,2],[0,5,28],[0,6,56],[0,7,81],[1,2,84],[1,3,85],[1,4,9],[1,5,22],[1,6,78],[1,7,49],[2,3,8],[2,4,74],[2,5,44],[2,7,78],[3,4,23],[3,5,55],[3,6,68],[3,7,0],[4,5,68],[4,6,51],[4,7,12],[5,6,86],[5,7,1],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,18],[0,4,2],[0,5,28],[0,6,56],[0,7,81],[1,2,84],[1,3,85],[1,4,9],[1,5,22],[1,6,78],[1,7,49],[2,3,8],[2,4,74],[2,5,44],[2,7,78],[3,4,23],[3,5,55],[3,6,68],[3,7,0],[4,5,68],[4,6,51],[4,7,12],[5,6,86],[5,7,1],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (5,7)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (4,7)\",\"Add (4,6)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,18],[0,4,2],[0,5,28],[0,6,56],[0,7,81],[1,2,84],[1,3,85],[1,4,9],[1,5,22],[1,6,78],[1,7,49],[2,3,8],[2,4,74],[2,5,44],[2,7,78],[3,4,23],[3,5,55],[3,6,68],[3,7,0],[4,5,68],[4,6,51],[4,7,12],[5,6,86],[5,7,1],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0, w=0\",\"Add (5,7)=1, w=1\",\"Add (0,4)=2, w=3\",\"Add (2,3)=8, w=11\",\"Add (1,4)=9, w=20\",\"Add (4,7)=12, w=32\",\"Add (4,6)=51, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,18],[0,4,2],[0,5,28],[0,6,56],[0,7,81],[1,2,84],[1,3,85],[1,4,9],[1,5,22],[1,6,78],[1,7,49],[2,3,8],[2,4,74],[2,5,44],[2,7,78],[3,4,23],[3,5,55],[3,6,68],[3,7,0],[4,5,68],[4,6,51],[4,7,12],[5,6,86],[5,7,1],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0 Succeeded, w=0\",\"Add (5,7)=1 Succeeded, w=1\",\"Add (0,4)=2 Succeeded, w=3\",\"Add (2,3)=8 Succeeded, w=11\",\"Add (1,4)=9 Succeeded, w=20\",\"Add (4,7)=12 Succeeded, w=32\",\"Add (0,3)=18 Failed, w=32\",\"Add (1,5)=22 Failed, w=32\",\"Add (3,4)=23 Failed, w=32\",\"Add (0,5)=28 Failed, w=32\",\"Add (2,5)=44 Failed, w=32\",\"Add (0,2)=49 Failed, w=32\",\"Add (1,7)=49 Failed, w=32\",\"Add (4,6)=51 Succeeded, w=83\",\"Add (6,7)=53 Failed, w=83\",\"Add (3,5)=55 Failed, w=83\",\"Add (0,6)=56 Failed, w=83\",\"Add (3,6)=68 Failed, w=83\",\"Add (4,5)=68 Failed, w=83\",\"Add (0,1)=74 Failed, w=83\",\"Add (2,4)=74 Failed, w=83\",\"Add (1,6)=78 Failed, w=83\",\"Add (2,7)=78 Failed, w=83\",\"Add (0,7)=81 Failed, w=83\",\"Add (1,2)=84 Failed, w=83\",\"Add (1,3)=85 Failed, w=83\",\"Add (5,6)=86 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,18],[0,4,2],[0,5,28],[0,6,56],[0,7,81],[1,2,84],[1,3,85],[1,4,9],[1,5,22],[1,6,78],[1,7,49],[2,3,8],[2,4,74],[2,5,44],[2,7,78],[3,4,23],[3,5,55],[3,6,68],[3,7,0],[4,5,68],[4,6,51],[4,7,12],[5,6,86],[5,7,1],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(5,7)=1,(0,4)=2,(2,3)=8,(1,4)=9,(4,7)=12,(0,3)=18,(1,5)=22,(3,4)=23,(0,5)=28,(2,5)=44,(0,2)=49,(1,7)=49,(4,6)=51,(6,7)=53,(3,5)=55,(0,6)=56,(3,6)=68,(4,5)=68,(0,1)=74,(2,4)=74,(1,6)=78,(2,7)=78,(0,7)=81,(1,2)=84,(1,3)=85,(5,6)=86]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Find(5)=5, Find(7)=3, Add (5,7)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=11\",\"Find(1)=1, Find(4)=0, Add (1,4)=9 Succeeded, w=20\",\"Find(4)=0, Find(7)=3, Add (4,7)=12 Succeeded, w=32\",\"Find(0)=0, Find(3)=0, Add (0,3)=18 Failed, w=32\",\"Find(1)=0, Find(5)=0, Add (1,5)=22 Failed, w=32\",\"Find(3)=0, Find(4)=0, Add (3,4)=23 Failed, w=32\",\"Find(0)=0, Find(5)=0, Add (0,5)=28 Failed, w=32\",\"Find(2)=0, Find(5)=0, Add (2,5)=44 Failed, w=32\",\"Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=32\",\"Find(1)=0, Find(7)=0, Add (1,7)=49 Failed, w=32\",\"Find(4)=0, Find(6)=6, Add (4,6)=51 Succeeded, w=83\",\"Find(6)=0, Find(7)=0, Add (6,7)=53 Failed, w=83\",\"Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=83\",\"Find(0)=0, Find(6)=0, Add (0,6)=56 Failed, w=83\",\"Find(3)=0, Find(6)=0, Add (3,6)=68 Failed, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=83\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=83\",\"Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=83\",\"Find(1)=0, Find(6)=0, Add (1,6)=78 Failed, w=83\",\"Find(2)=0, Find(7)=0, Add (2,7)=78 Failed, w=83\",\"Find(0)=0, Find(7)=0, Add (0,7)=81 Failed, w=83\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=83\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=83\",\"Find(5)=0, Find(6)=0, Add (5,6)=86 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,74],[0,2,49],[0,3,18],[0,4,2],[0,5,28],[0,6,56],[0,7,81],[1,2,84],[1,3,85],[1,4,9],[1,5,22],[1,6,78],[1,7,49],[2,3,8],[2,4,74],[2,5,44],[2,7,78],[3,4,23],[3,5,55],[3,6,68],[3,7,0],[4,5,68],[4,6,51],[4,7,12],[5,6,86],[5,7,1],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(5,7)=1,(0,4)=2,(2,3)=8,(1,4)=9,(4,7)=12,(0,3)=18,(1,5)=22,(3,4)=23,(0,5)=28,(2,5)=44,(0,2)=49,(1,7)=49,(4,6)=51,(6,7)=53,(3,5)=55,(0,6)=56,(3,6)=68,(4,5)=68,(0,1)=74,(2,4)=74,(1,6)=78,(2,7)=78,(0,7)=81,(1,2)=84,(1,3)=85,(5,6)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(5)=5, Find(7)=3, Add (5,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 0, 5: 3, 6: 6, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 0, 5: 3, 6: 6, 7: 3}, Find(1)=1, Find(4)=0, Add (1,4)=9 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 3, 6: 6, 7: 3}, Find(4)=0, Find(7)=3, Add (4,7)=12 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(3)=0, Add (0,3)=18 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(1)=0, Find(5)=0, Add (1,5)=22 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(3)=0, Find(4)=0, Add (3,4)=23 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(5)=0, Add (0,5)=28 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(2)=0, Find(5)=0, Add (2,5)=44 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(2)=0, Add (0,2)=49 Failed, w=32\",\"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)=49 Failed, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=6, Add (4,6)=51 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=53 Failed, w=83\",\"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)=55 Failed, w=83\",\"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)=56 Failed, w=83\",\"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)=68 Failed, w=83\",\"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)=68 Failed, w=83\",\"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)=74 Failed, w=83\",\"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)=74 Failed, w=83\",\"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)=78 Failed, w=83\",\"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)=78 Failed, w=83\",\"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)=81 Failed, w=83\",\"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)=84 Failed, w=83\",\"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)=85 Failed, w=83\",\"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)=86 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,52],[0,5,64],[1,2,22],[1,4,28],[1,5,7],[2,3,29],[2,5,14],[3,4,44],[4,5,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,5,64],[1,2,22],[1,4,28],[1,5,7],[2,3,29],[2,5,14],[3,4,44],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,5,64],[1,2,22],[1,4,28],[1,5,7],[2,3,29],[2,5,14],[3,4,44],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,5,64],[1,2,22],[1,4,28],[1,5,7],[2,3,29],[2,5,14],[3,4,44],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (2,5)=14, w=21\",\"Add (1,4)=28, w=49\",\"Add (2,3)=29, w=78\",\"Add (0,2)=52, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,5,64],[1,2,22],[1,4,28],[1,5,7],[2,3,29],[2,5,14],[3,4,44],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (2,5)=14 Succeeded, w=21\",\"Add (1,2)=22 Failed, w=21\",\"Add (1,4)=28 Succeeded, w=49\",\"Add (2,3)=29 Succeeded, w=78\",\"Add (4,5)=43 Failed, w=78\",\"Add (3,4)=44 Failed, w=78\",\"Add (0,2)=52 Succeeded, w=130\",\"Add (0,5)=64 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,5,64],[1,2,22],[1,4,28],[1,5,7],[2,3,29],[2,5,14],[3,4,44],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(2,5)=14,(1,2)=22,(1,4)=28,(2,3)=29,(4,5)=43,(3,4)=44,(0,2)=52,(0,5)=64]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(5)=1, Add (2,5)=14 Succeeded, w=21\",\"Find(1)=1, Find(2)=1, Add (1,2)=22 Failed, w=21\",\"Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=49\",\"Find(2)=1, Find(3)=3, Add (2,3)=29 Succeeded, w=78\",\"Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=78\",\"Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=78\",\"Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=130\",\"Find(0)=1, Find(5)=1, Add (0,5)=64 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,5,64],[1,2,22],[1,4,28],[1,5,7],[2,3,29],[2,5,14],[3,4,44],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(2,5)=14,(1,2)=22,(1,4)=28,(2,3)=29,(4,5)=43,(3,4)=44,(0,2)=52,(0,5)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=22 Failed, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=3, Add (2,3)=29 Succeeded, w=78\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=78\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(2)=1, Add (0,2)=52 Succeeded, w=130\",\"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=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,96],[0,2,25],[0,3,1],[0,4,33],[0,5,82],[1,2,87],[1,3,44],[1,4,79],[2,4,53],[2,5,79],[3,4,23],[3,5,40],[4,5,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,25],[0,3,1],[0,4,33],[0,5,82],[1,2,87],[1,3,44],[1,4,79],[2,4,53],[2,5,79],[3,4,23],[3,5,40],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,25],[0,3,1],[0,4,33],[0,5,82],[1,2,87],[1,3,44],[1,4,79],[2,4,53],[2,5,79],[3,4,23],[3,5,40],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (1,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,25],[0,3,1],[0,4,33],[0,5,82],[1,2,87],[1,3,44],[1,4,79],[2,4,53],[2,5,79],[3,4,23],[3,5,40],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (3,4)=23, w=24\",\"Add (0,2)=25, w=49\",\"Add (4,5)=39, w=88\",\"Add (1,3)=44, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,25],[0,3,1],[0,4,33],[0,5,82],[1,2,87],[1,3,44],[1,4,79],[2,4,53],[2,5,79],[3,4,23],[3,5,40],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (3,4)=23 Succeeded, w=24\",\"Add (0,2)=25 Succeeded, w=49\",\"Add (0,4)=33 Failed, w=49\",\"Add (4,5)=39 Succeeded, w=88\",\"Add (3,5)=40 Failed, w=88\",\"Add (1,3)=44 Succeeded, w=132\",\"Add (2,4)=53 Failed, w=132\",\"Add (1,4)=79 Failed, w=132\",\"Add (2,5)=79 Failed, w=132\",\"Add (0,5)=82 Failed, w=132\",\"Add (1,2)=87 Failed, w=132\",\"Add (0,1)=96 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,25],[0,3,1],[0,4,33],[0,5,82],[1,2,87],[1,3,44],[1,4,79],[2,4,53],[2,5,79],[3,4,23],[3,5,40],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(3,4)=23,(0,2)=25,(0,4)=33,(4,5)=39,(3,5)=40,(1,3)=44,(2,4)=53,(1,4)=79,(2,5)=79,(0,5)=82,(1,2)=87,(0,1)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(3)=0, Find(4)=4, Add (3,4)=23 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=49\",\"Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=49\",\"Find(4)=0, Find(5)=5, Add (4,5)=39 Succeeded, w=88\",\"Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=88\",\"Find(1)=1, Find(3)=0, Add (1,3)=44 Succeeded, w=132\",\"Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=132\",\"Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=132\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=132\",\"Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=132\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=132\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,96],[0,2,25],[0,3,1],[0,4,33],[0,5,82],[1,2,87],[1,3,44],[1,4,79],[2,4,53],[2,5,79],[3,4,23],[3,5,40],[4,5,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(3,4)=23,(0,2)=25,(0,4)=33,(4,5)=39,(3,5)=40,(1,3)=44,(2,4)=53,(1,4)=79,(2,5)=79,(0,5)=82,(1,2)=87,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=23 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=39 Succeeded, w=88\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=44 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=82 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,100],[0,2,86],[0,3,20],[0,5,14],[1,3,26],[1,4,100],[1,5,41],[2,3,43],[2,4,22],[2,5,72],[3,4,18],[3,5,27],[4,5,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,86],[0,3,20],[0,5,14],[1,3,26],[1,4,100],[1,5,41],[2,3,43],[2,4,22],[2,5,72],[3,4,18],[3,5,27],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,86],[0,3,20],[0,5,14],[1,3,26],[1,4,100],[1,5,41],[2,3,43],[2,4,22],[2,5,72],[3,4,18],[3,5,27],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,86],[0,3,20],[0,5,14],[1,3,26],[1,4,100],[1,5,41],[2,3,43],[2,4,22],[2,5,72],[3,4,18],[3,5,27],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=14, w=14\",\"Add (3,4)=18, w=32\",\"Add (0,3)=20, w=52\",\"Add (2,4)=22, w=74\",\"Add (1,3)=26, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,86],[0,3,20],[0,5,14],[1,3,26],[1,4,100],[1,5,41],[2,3,43],[2,4,22],[2,5,72],[3,4,18],[3,5,27],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=14 Succeeded, w=14\",\"Add (3,4)=18 Succeeded, w=32\",\"Add (0,3)=20 Succeeded, w=52\",\"Add (2,4)=22 Succeeded, w=74\",\"Add (1,3)=26 Succeeded, w=100\",\"Add (3,5)=27 Failed, w=100\",\"Add (1,5)=41 Failed, w=100\",\"Add (2,3)=43 Failed, w=100\",\"Add (2,5)=72 Failed, w=100\",\"Add (4,5)=82 Failed, w=100\",\"Add (0,2)=86 Failed, w=100\",\"Add (0,1)=100 Failed, w=100\",\"Add (1,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,86],[0,3,20],[0,5,14],[1,3,26],[1,4,100],[1,5,41],[2,3,43],[2,4,22],[2,5,72],[3,4,18],[3,5,27],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=14,(3,4)=18,(0,3)=20,(2,4)=22,(1,3)=26,(3,5)=27,(1,5)=41,(2,3)=43,(2,5)=72,(4,5)=82,(0,2)=86,(0,1)=100,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=14\",\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=32\",\"Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=52\",\"Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=74\",\"Find(1)=1, Find(3)=0, Add (1,3)=26 Succeeded, w=100\",\"Find(3)=0, Find(5)=0, Add (3,5)=27 Failed, w=100\",\"Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=100\",\"Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=100\",\"Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=100\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=100\",\"Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=100\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,86],[0,3,20],[0,5,14],[1,3,26],[1,4,100],[1,5,41],[2,3,43],[2,4,22],[2,5,72],[3,4,18],[3,5,27],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=14,(3,4)=18,(0,3)=20,(2,4)=22,(1,3)=26,(3,5)=27,(1,5)=41,(2,3)=43,(2,5)=72,(4,5)=82,(0,2)=86,(0,1)=100,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=20 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=26 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=27 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,39],[0,2,96],[0,3,67],[1,2,49],[1,3,86],[2,3,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,96],[0,3,67],[1,2,49],[1,3,86],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,96],[0,3,67],[1,2,49],[1,3,86],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,96],[0,3,67],[1,2,49],[1,3,86],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33, w=33\",\"Add (0,1)=39, w=72\",\"Add (1,2)=49, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,96],[0,3,67],[1,2,49],[1,3,86],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33 Succeeded, w=33\",\"Add (0,1)=39 Succeeded, w=72\",\"Add (1,2)=49 Succeeded, w=121\",\"Add (0,3)=67 Failed, w=121\",\"Add (1,3)=86 Failed, w=121\",\"Add (0,2)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,96],[0,3,67],[1,2,49],[1,3,86],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(0,1)=39,(1,2)=49,(0,3)=67,(1,3)=86,(0,2)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=72\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=121\",\"Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=121\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=121\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,96],[0,3,67],[1,2,49],[1,3,86],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(0,1)=39,(1,2)=49,(0,3)=67,(1,3)=86,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=39, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=39 Succeeded, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=39]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=39]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,50],[0,3,74],[0,5,33],[0,7,53],[1,2,7],[1,3,24],[1,5,81],[1,7,31],[2,3,27],[2,4,92],[2,5,42],[2,7,93],[3,4,92],[3,5,80],[3,6,79],[4,6,2],[4,7,37],[5,6,19],[5,7,37],[6,7,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,50],[0,3,74],[0,5,33],[0,7,53],[1,2,7],[1,3,24],[1,5,81],[1,7,31],[2,3,27],[2,4,92],[2,5,42],[2,7,93],[3,4,92],[3,5,80],[3,6,79],[4,6,2],[4,7,37],[5,6,19],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,50],[0,3,74],[0,5,33],[0,7,53],[1,2,7],[1,3,24],[1,5,81],[1,7,31],[2,3,27],[2,4,92],[2,5,42],[2,7,93],[3,4,92],[3,5,80],[3,6,79],[4,6,2],[4,7,37],[5,6,19],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,2)\",\"Add (5,6)\",\"Add (1,3)\",\"Add (1,7)\",\"Add (0,5)\",\"Add (4,7)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,50],[0,3,74],[0,5,33],[0,7,53],[1,2,7],[1,3,24],[1,5,81],[1,7,31],[2,3,27],[2,4,92],[2,5,42],[2,7,93],[3,4,92],[3,5,80],[3,6,79],[4,6,2],[4,7,37],[5,6,19],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2, w=2\",\"Add (1,2)=7, w=9\",\"Add (5,6)=19, w=28\",\"Add (1,3)=24, w=52\",\"Add (1,7)=31, w=83\",\"Add (0,5)=33, w=116\",\"Add (4,7)=37, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,50],[0,3,74],[0,5,33],[0,7,53],[1,2,7],[1,3,24],[1,5,81],[1,7,31],[2,3,27],[2,4,92],[2,5,42],[2,7,93],[3,4,92],[3,5,80],[3,6,79],[4,6,2],[4,7,37],[5,6,19],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2 Succeeded, w=2\",\"Add (1,2)=7 Succeeded, w=9\",\"Add (5,6)=19 Succeeded, w=28\",\"Add (1,3)=24 Succeeded, w=52\",\"Add (2,3)=27 Failed, w=52\",\"Add (1,7)=31 Succeeded, w=83\",\"Add (0,5)=33 Succeeded, w=116\",\"Add (4,7)=37 Succeeded, w=153\",\"Add (5,7)=37 Failed, w=153\",\"Add (2,5)=42 Failed, w=153\",\"Add (0,2)=50 Failed, w=153\",\"Add (0,7)=53 Failed, w=153\",\"Add (6,7)=62 Failed, w=153\",\"Add (0,3)=74 Failed, w=153\",\"Add (3,6)=79 Failed, w=153\",\"Add (3,5)=80 Failed, w=153\",\"Add (1,5)=81 Failed, w=153\",\"Add (2,4)=92 Failed, w=153\",\"Add (3,4)=92 Failed, w=153\",\"Add (2,7)=93 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,50],[0,3,74],[0,5,33],[0,7,53],[1,2,7],[1,3,24],[1,5,81],[1,7,31],[2,3,27],[2,4,92],[2,5,42],[2,7,93],[3,4,92],[3,5,80],[3,6,79],[4,6,2],[4,7,37],[5,6,19],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(1,2)=7,(5,6)=19,(1,3)=24,(2,3)=27,(1,7)=31,(0,5)=33,(4,7)=37,(5,7)=37,(2,5)=42,(0,2)=50,(0,7)=53,(6,7)=62,(0,3)=74,(3,6)=79,(3,5)=80,(1,5)=81,(2,4)=92,(3,4)=92,(2,7)=93]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=9\",\"Find(5)=5, Find(6)=4, Add (5,6)=19 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=52\",\"Find(2)=1, Find(3)=1, Add (2,3)=27 Failed, w=52\",\"Find(1)=1, Find(7)=7, Add (1,7)=31 Succeeded, w=83\",\"Find(0)=0, Find(5)=4, Add (0,5)=33 Succeeded, w=116\",\"Find(4)=4, Find(7)=1, Add (4,7)=37 Succeeded, w=153\",\"Find(5)=4, Find(7)=4, Add (5,7)=37 Failed, w=153\",\"Find(2)=4, Find(5)=4, Add (2,5)=42 Failed, w=153\",\"Find(0)=4, Find(2)=4, Add (0,2)=50 Failed, w=153\",\"Find(0)=4, Find(7)=4, Add (0,7)=53 Failed, w=153\",\"Find(6)=4, Find(7)=4, Add (6,7)=62 Failed, w=153\",\"Find(0)=4, Find(3)=4, Add (0,3)=74 Failed, w=153\",\"Find(3)=4, Find(6)=4, Add (3,6)=79 Failed, w=153\",\"Find(3)=4, Find(5)=4, Add (3,5)=80 Failed, w=153\",\"Find(1)=4, Find(5)=4, Add (1,5)=81 Failed, w=153\",\"Find(2)=4, Find(4)=4, Add (2,4)=92 Failed, w=153\",\"Find(3)=4, Find(4)=4, Add (3,4)=92 Failed, w=153\",\"Find(2)=4, Find(7)=4, Add (2,7)=93 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,50],[0,3,74],[0,5,33],[0,7,53],[1,2,7],[1,3,24],[1,5,81],[1,7,31],[2,3,27],[2,4,92],[2,5,42],[2,7,93],[3,4,92],[3,5,80],[3,6,79],[4,6,2],[4,7,37],[5,6,19],[5,7,37],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(1,2)=7,(5,6)=19,(1,3)=24,(2,3)=27,(1,7)=31,(0,5)=33,(4,7)=37,(5,7)=37,(2,5)=42,(0,2)=50,(0,7)=53,(6,7)=62,(0,3)=74,(3,6)=79,(3,5)=80,(1,5)=81,(2,4)=92,(3,4)=92,(2,7)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(5)=5, Find(6)=4, Add (5,6)=19 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=1, Find(3)=1, Add (2,3)=27 Failed, w=52\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=31 Succeeded, w=83\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4, 7: 1}, Find(0)=0, Find(5)=4, Add (0,5)=33 Succeeded, w=116\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=37 Succeeded, w=153\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=37 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=42 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=50 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=53 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=62 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=74 Failed, w=153\",\"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)=79 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=80 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=81 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=92 Failed, w=153\",\"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)=92 Failed, w=153\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=93 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,69],[0,2,34],[0,3,14],[0,4,76],[0,6,66],[1,2,94],[1,4,21],[1,5,1],[2,4,72],[2,5,47],[2,7,48],[3,4,55],[3,6,49],[3,7,88],[4,5,98],[4,7,99],[5,7,61],[6,7,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,34],[0,3,14],[0,4,76],[0,6,66],[1,2,94],[1,4,21],[1,5,1],[2,4,72],[2,5,47],[2,7,48],[3,4,55],[3,6,49],[3,7,88],[4,5,98],[4,7,99],[5,7,61],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,34],[0,3,14],[0,4,76],[0,6,66],[1,2,94],[1,4,21],[1,5,1],[2,4,72],[2,5,47],[2,7,48],[3,4,55],[3,6,49],[3,7,88],[4,5,98],[4,7,99],[5,7,61],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (6,7)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (2,7)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,34],[0,3,14],[0,4,76],[0,6,66],[1,2,94],[1,4,21],[1,5,1],[2,4,72],[2,5,47],[2,7,48],[3,4,55],[3,6,49],[3,7,88],[4,5,98],[4,7,99],[5,7,61],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (0,3)=14, w=15\",\"Add (1,4)=21, w=36\",\"Add (6,7)=27, w=63\",\"Add (0,2)=34, w=97\",\"Add (2,5)=47, w=144\",\"Add (2,7)=48, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,34],[0,3,14],[0,4,76],[0,6,66],[1,2,94],[1,4,21],[1,5,1],[2,4,72],[2,5,47],[2,7,48],[3,4,55],[3,6,49],[3,7,88],[4,5,98],[4,7,99],[5,7,61],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (0,3)=14 Succeeded, w=15\",\"Add (1,4)=21 Succeeded, w=36\",\"Add (6,7)=27 Succeeded, w=63\",\"Add (0,2)=34 Succeeded, w=97\",\"Add (2,5)=47 Succeeded, w=144\",\"Add (2,7)=48 Succeeded, w=192\",\"Add (3,6)=49 Failed, w=192\",\"Add (3,4)=55 Failed, w=192\",\"Add (5,7)=61 Failed, w=192\",\"Add (0,6)=66 Failed, w=192\",\"Add (0,1)=69 Failed, w=192\",\"Add (2,4)=72 Failed, w=192\",\"Add (0,4)=76 Failed, w=192\",\"Add (3,7)=88 Failed, w=192\",\"Add (1,2)=94 Failed, w=192\",\"Add (4,5)=98 Failed, w=192\",\"Add (4,7)=99 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,34],[0,3,14],[0,4,76],[0,6,66],[1,2,94],[1,4,21],[1,5,1],[2,4,72],[2,5,47],[2,7,48],[3,4,55],[3,6,49],[3,7,88],[4,5,98],[4,7,99],[5,7,61],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,3)=14,(1,4)=21,(6,7)=27,(0,2)=34,(2,5)=47,(2,7)=48,(3,6)=49,(3,4)=55,(5,7)=61,(0,6)=66,(0,1)=69,(2,4)=72,(0,4)=76,(3,7)=88,(1,2)=94,(4,5)=98,(4,7)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=15\",\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=36\",\"Find(6)=6, Find(7)=7, Add (6,7)=27 Succeeded, w=63\",\"Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=97\",\"Find(2)=0, Find(5)=1, Add (2,5)=47 Succeeded, w=144\",\"Find(2)=0, Find(7)=6, Add (2,7)=48 Succeeded, w=192\",\"Find(3)=0, Find(6)=0, Add (3,6)=49 Failed, w=192\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=192\",\"Find(5)=0, Find(7)=0, Add (5,7)=61 Failed, w=192\",\"Find(0)=0, Find(6)=0, Add (0,6)=66 Failed, w=192\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=192\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=192\",\"Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=192\",\"Find(3)=0, Find(7)=0, Add (3,7)=88 Failed, w=192\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=192\",\"Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=192\",\"Find(4)=0, Find(7)=0, Add (4,7)=99 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,34],[0,3,14],[0,4,76],[0,6,66],[1,2,94],[1,4,21],[1,5,1],[2,4,72],[2,5,47],[2,7,48],[3,4,55],[3,6,49],[3,7,88],[4,5,98],[4,7,99],[5,7,61],[6,7,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,3)=14,(1,4)=21,(6,7)=27,(0,2)=34,(2,5)=47,(2,7)=48,(3,6)=49,(3,4)=55,(5,7)=61,(0,6)=66,(0,1)=69,(2,4)=72,(0,4)=76,(3,7)=88,(1,2)=94,(4,5)=98,(4,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=27 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 6, 7: 6}, Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 6, 7: 6}, Find(2)=0, Find(5)=1, Add (2,5)=47 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0, 7: 6}, Find(2)=0, Find(7)=6, Add (2,7)=48 Succeeded, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 0, 7: 6}, Find(3)=0, Find(6)=0, Add (3,6)=49 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 6}, Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=61 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=66 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=192\",\"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)=76 Failed, w=192\",\"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=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=192\",\"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)=98 Failed, w=192\",\"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)=99 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,74],[0,4,65],[1,2,36],[1,3,4],[1,4,23],[1,5,90],[1,6,26],[2,3,69],[2,4,37],[2,5,74],[3,4,15],[3,6,48],[4,6,24],[5,6,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,74],[0,4,65],[1,2,36],[1,3,4],[1,4,23],[1,5,90],[1,6,26],[2,3,69],[2,4,37],[2,5,74],[3,4,15],[3,6,48],[4,6,24],[5,6,23]]}",
"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\":[[0,3,74],[0,4,65],[1,2,36],[1,3,4],[1,4,23],[1,5,90],[1,6,26],[2,3,69],[2,4,37],[2,5,74],[3,4,15],[3,6,48],[4,6,24],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (4,6)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,74],[0,4,65],[1,2,36],[1,3,4],[1,4,23],[1,5,90],[1,6,26],[2,3,69],[2,4,37],[2,5,74],[3,4,15],[3,6,48],[4,6,24],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (3,4)=15, w=19\",\"Add (5,6)=23, w=42\",\"Add (4,6)=24, w=66\",\"Add (1,2)=36, w=102\",\"Add (0,4)=65, 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\":[[0,3,74],[0,4,65],[1,2,36],[1,3,4],[1,4,23],[1,5,90],[1,6,26],[2,3,69],[2,4,37],[2,5,74],[3,4,15],[3,6,48],[4,6,24],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (3,4)=15 Succeeded, w=19\",\"Add (1,4)=23 Failed, w=19\",\"Add (5,6)=23 Succeeded, w=42\",\"Add (4,6)=24 Succeeded, w=66\",\"Add (1,6)=26 Failed, w=66\",\"Add (1,2)=36 Succeeded, w=102\",\"Add (2,4)=37 Failed, w=102\",\"Add (3,6)=48 Failed, w=102\",\"Add (0,4)=65 Succeeded, w=167\",\"Add (2,3)=69 Failed, w=167\",\"Add (0,3)=74 Failed, w=167\",\"Add (2,5)=74 Failed, w=167\",\"Add (1,5)=90 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\":[[0,3,74],[0,4,65],[1,2,36],[1,3,4],[1,4,23],[1,5,90],[1,6,26],[2,3,69],[2,4,37],[2,5,74],[3,4,15],[3,6,48],[4,6,24],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(3,4)=15,(1,4)=23,(5,6)=23,(4,6)=24,(1,6)=26,(1,2)=36,(2,4)=37,(3,6)=48,(0,4)=65,(2,3)=69,(0,3)=74,(2,5)=74,(1,5)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(3)=1, Find(4)=4, Add (3,4)=15 Succeeded, w=19\",\"Find(1)=1, Find(4)=1, Add (1,4)=23 Failed, w=19\",\"Find(5)=5, Find(6)=6, Add (5,6)=23 Succeeded, w=42\",\"Find(4)=1, Find(6)=5, Add (4,6)=24 Succeeded, w=66\",\"Find(1)=1, Find(6)=1, Add (1,6)=26 Failed, w=66\",\"Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=102\",\"Find(2)=1, Find(4)=1, Add (2,4)=37 Failed, w=102\",\"Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=102\",\"Find(0)=0, Find(4)=1, Add (0,4)=65 Succeeded, w=167\",\"Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=167\",\"Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=167\",\"Find(2)=1, Find(5)=1, Add (2,5)=74 Failed, w=167\",\"Find(1)=1, Find(5)=1, Add (1,5)=90 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\":[[0,3,74],[0,4,65],[1,2,36],[1,3,4],[1,4,23],[1,5,90],[1,6,26],[2,3,69],[2,4,37],[2,5,74],[3,4,15],[3,6,48],[4,6,24],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(3,4)=15,(1,4)=23,(5,6)=23,(4,6)=24,(1,6)=26,(1,2)=36,(2,4)=37,(3,6)=48,(0,4)=65,(2,3)=69,(0,3)=74,(2,5)=74,(1,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(3)=1, Find(4)=4, Add (3,4)=15 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=1, Add (1,4)=23 Failed, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=23 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 5}, Find(4)=1, Find(6)=5, Add (4,6)=24 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=26 Failed, w=66\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=102\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=37 Failed, w=102\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=65 Succeeded, w=167\",\"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=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=74 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=74 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=90 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,73],[0,5,26],[0,6,4],[0,7,89],[1,2,8],[1,3,10],[1,4,43],[1,5,64],[1,6,6],[1,7,61],[2,4,82],[2,5,32],[2,6,72],[4,5,59],[4,6,16],[5,7,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,73],[0,5,26],[0,6,4],[0,7,89],[1,2,8],[1,3,10],[1,4,43],[1,5,64],[1,6,6],[1,7,61],[2,4,82],[2,5,32],[2,6,72],[4,5,59],[4,6,16],[5,7,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,73],[0,5,26],[0,6,4],[0,7,89],[1,2,8],[1,3,10],[1,4,43],[1,5,64],[1,6,6],[1,7,61],[2,4,82],[2,5,32],[2,6,72],[4,5,59],[4,6,16],[5,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (1,7)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,73],[0,5,26],[0,6,4],[0,7,89],[1,2,8],[1,3,10],[1,4,43],[1,5,64],[1,6,6],[1,7,61],[2,4,82],[2,5,32],[2,6,72],[4,5,59],[4,6,16],[5,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4, w=4\",\"Add (1,6)=6, w=10\",\"Add (1,2)=8, w=18\",\"Add (1,3)=10, w=28\",\"Add (4,6)=16, w=44\",\"Add (0,5)=26, w=70\",\"Add (1,7)=61, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,73],[0,5,26],[0,6,4],[0,7,89],[1,2,8],[1,3,10],[1,4,43],[1,5,64],[1,6,6],[1,7,61],[2,4,82],[2,5,32],[2,6,72],[4,5,59],[4,6,16],[5,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4 Succeeded, w=4\",\"Add (1,6)=6 Succeeded, w=10\",\"Add (1,2)=8 Succeeded, w=18\",\"Add (1,3)=10 Succeeded, w=28\",\"Add (4,6)=16 Succeeded, w=44\",\"Add (0,5)=26 Succeeded, w=70\",\"Add (2,5)=32 Failed, w=70\",\"Add (1,4)=43 Failed, w=70\",\"Add (4,5)=59 Failed, w=70\",\"Add (1,7)=61 Succeeded, w=131\",\"Add (1,5)=64 Failed, w=131\",\"Add (2,6)=72 Failed, w=131\",\"Add (0,4)=73 Failed, w=131\",\"Add (2,4)=82 Failed, w=131\",\"Add (5,7)=86 Failed, w=131\",\"Add (0,7)=89 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,73],[0,5,26],[0,6,4],[0,7,89],[1,2,8],[1,3,10],[1,4,43],[1,5,64],[1,6,6],[1,7,61],[2,4,82],[2,5,32],[2,6,72],[4,5,59],[4,6,16],[5,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(1,6)=6,(1,2)=8,(1,3)=10,(4,6)=16,(0,5)=26,(2,5)=32,(1,4)=43,(4,5)=59,(1,7)=61,(1,5)=64,(2,6)=72,(0,4)=73,(2,4)=82,(5,7)=86,(0,7)=89]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(6)=0, Add (1,6)=6 Succeeded, w=10\",\"Find(1)=0, Find(2)=2, Add (1,2)=8 Succeeded, w=18\",\"Find(1)=0, Find(3)=3, Add (1,3)=10 Succeeded, w=28\",\"Find(4)=4, Find(6)=0, Add (4,6)=16 Succeeded, w=44\",\"Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=70\",\"Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=70\",\"Find(1)=0, Find(4)=0, Add (1,4)=43 Failed, w=70\",\"Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=70\",\"Find(1)=0, Find(7)=7, Add (1,7)=61 Succeeded, w=131\",\"Find(1)=0, Find(5)=0, Add (1,5)=64 Failed, w=131\",\"Find(2)=0, Find(6)=0, Add (2,6)=72 Failed, w=131\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=131\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=131\",\"Find(5)=0, Find(7)=0, Add (5,7)=86 Failed, w=131\",\"Find(0)=0, Find(7)=0, Add (0,7)=89 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,73],[0,5,26],[0,6,4],[0,7,89],[1,2,8],[1,3,10],[1,4,43],[1,5,64],[1,6,6],[1,7,61],[2,4,82],[2,5,32],[2,6,72],[4,5,59],[4,6,16],[5,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(1,6)=6,(1,2)=8,(1,3)=10,(4,6)=16,(0,5)=26,(2,5)=32,(1,4)=43,(4,5)=59,(1,7)=61,(1,5)=64,(2,6)=72,(0,4)=73,(2,4)=82,(5,7)=86,(0,7)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=0, Find(2)=2, Add (1,2)=8 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=0, Find(3)=3, Add (1,3)=10 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(4)=4, Find(6)=0, Add (4,6)=16 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=70\",\"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)=43 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=61 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=64 Failed, w=131\",\"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)=72 Failed, w=131\",\"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)=73 Failed, w=131\",\"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)=82 Failed, w=131\",\"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)=86 Failed, w=131\",\"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)=89 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,63],[0,2,37],[0,3,75],[0,4,69],[1,3,60],[1,5,56],[1,6,34],[2,3,5],[3,4,84],[3,5,47],[3,6,79],[4,6,51],[5,6,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,63],[0,2,37],[0,3,75],[0,4,69],[1,3,60],[1,5,56],[1,6,34],[2,3,5],[3,4,84],[3,5,47],[3,6,79],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,63],[0,2,37],[0,3,75],[0,4,69],[1,3,60],[1,5,56],[1,6,34],[2,3,5],[3,4,84],[3,5,47],[3,6,79],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (5,6)\",\"Add (4,6)\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,63],[0,2,37],[0,3,75],[0,4,69],[1,3,60],[1,5,56],[1,6,34],[2,3,5],[3,4,84],[3,5,47],[3,6,79],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (1,6)=34, w=39\",\"Add (0,2)=37, w=76\",\"Add (3,5)=47, w=123\",\"Add (5,6)=48, w=171\",\"Add (4,6)=51, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,63],[0,2,37],[0,3,75],[0,4,69],[1,3,60],[1,5,56],[1,6,34],[2,3,5],[3,4,84],[3,5,47],[3,6,79],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (1,6)=34 Succeeded, w=39\",\"Add (0,2)=37 Succeeded, w=76\",\"Add (3,5)=47 Succeeded, w=123\",\"Add (5,6)=48 Succeeded, w=171\",\"Add (4,6)=51 Succeeded, w=222\",\"Add (1,5)=56 Failed, w=222\",\"Add (1,3)=60 Failed, w=222\",\"Add (0,1)=63 Failed, w=222\",\"Add (0,4)=69 Failed, w=222\",\"Add (0,3)=75 Failed, w=222\",\"Add (3,6)=79 Failed, w=222\",\"Add (3,4)=84 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,63],[0,2,37],[0,3,75],[0,4,69],[1,3,60],[1,5,56],[1,6,34],[2,3,5],[3,4,84],[3,5,47],[3,6,79],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,6)=34,(0,2)=37,(3,5)=47,(5,6)=48,(4,6)=51,(1,5)=56,(1,3)=60,(0,1)=63,(0,4)=69,(0,3)=75,(3,6)=79,(3,4)=84]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(6)=6, Add (1,6)=34 Succeeded, w=39\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=76\",\"Find(3)=2, Find(5)=5, Add (3,5)=47 Succeeded, w=123\",\"Find(5)=2, Find(6)=1, Add (5,6)=48 Succeeded, w=171\",\"Find(4)=4, Find(6)=2, Add (4,6)=51 Succeeded, w=222\",\"Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=222\",\"Find(1)=2, Find(3)=2, Add (1,3)=60 Failed, w=222\",\"Find(0)=2, Find(1)=2, Add (0,1)=63 Failed, w=222\",\"Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=222\",\"Find(0)=2, Find(3)=2, Add (0,3)=75 Failed, w=222\",\"Find(3)=2, Find(6)=2, Add (3,6)=79 Failed, w=222\",\"Find(3)=2, Find(4)=2, Add (3,4)=84 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,63],[0,2,37],[0,3,75],[0,4,69],[1,3,60],[1,5,56],[1,6,34],[2,3,5],[3,4,84],[3,5,47],[3,6,79],[4,6,51],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,6)=34,(0,2)=37,(3,5)=47,(5,6)=48,(4,6)=51,(1,5)=56,(1,3)=60,(0,1)=63,(0,4)=69,(0,3)=75,(3,6)=79,(3,4)=84]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=34 Succeeded, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=76\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1}, Find(3)=2, Find(5)=5, Add (3,5)=47 Succeeded, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1}, Find(5)=2, Find(6)=1, Add (5,6)=48 Succeeded, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=51 Succeeded, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=60 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=63 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=75 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=79 Failed, w=222\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=84 Failed, w=222\"],\"Answer\":222}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,24],[0,2,7],[1,4,46],[3,4,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,7],[1,4,46],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,7],[1,4,46],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,7],[1,4,46],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,1)=24, w=31\",\"Add (3,4)=28, w=59\",\"Add (1,4)=46, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,7],[1,4,46],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,1)=24 Succeeded, w=31\",\"Add (3,4)=28 Succeeded, w=59\",\"Add (1,4)=46 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,7],[1,4,46],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=24,(3,4)=28,(1,4)=46]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=31\",\"Find(3)=3, Find(4)=4, Add (3,4)=28 Succeeded, w=59\",\"Find(1)=0, Find(4)=3, Add (1,4)=46 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,7],[1,4,46],[3,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,1)=24,(3,4)=28,(1,4)=46]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=28 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(4)=3, Add (1,4)=46 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,5],[0,2,18],[0,3,54],[0,4,44],[1,2,22],[1,3,4],[1,4,96],[2,3,50],[2,4,84],[3,4,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,18],[0,3,54],[0,4,44],[1,2,22],[1,3,4],[1,4,96],[2,3,50],[2,4,84],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,18],[0,3,54],[0,4,44],[1,2,22],[1,3,4],[1,4,96],[2,3,50],[2,4,84],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,18],[0,3,54],[0,4,44],[1,2,22],[1,3,4],[1,4,96],[2,3,50],[2,4,84],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,1)=5, w=9\",\"Add (0,2)=18, w=27\",\"Add (0,4)=44, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,18],[0,3,54],[0,4,44],[1,2,22],[1,3,4],[1,4,96],[2,3,50],[2,4,84],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,1)=5 Succeeded, w=9\",\"Add (0,2)=18 Succeeded, w=27\",\"Add (1,2)=22 Failed, w=27\",\"Add (0,4)=44 Succeeded, w=71\",\"Add (2,3)=50 Failed, w=71\",\"Add (0,3)=54 Failed, w=71\",\"Add (3,4)=75 Failed, w=71\",\"Add (2,4)=84 Failed, w=71\",\"Add (1,4)=96 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,18],[0,3,54],[0,4,44],[1,2,22],[1,3,4],[1,4,96],[2,3,50],[2,4,84],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=5,(0,2)=18,(1,2)=22,(0,4)=44,(2,3)=50,(0,3)=54,(3,4)=75,(2,4)=84,(1,4)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Find(0)=1, Find(2)=2, Add (0,2)=18 Succeeded, w=27\",\"Find(1)=1, Find(2)=1, Add (1,2)=22 Failed, w=27\",\"Find(0)=1, Find(4)=4, Add (0,4)=44 Succeeded, w=71\",\"Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=71\",\"Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=71\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=71\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=71\",\"Find(1)=1, Find(4)=1, Add (1,4)=96 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,18],[0,3,54],[0,4,44],[1,2,22],[1,3,4],[1,4,96],[2,3,50],[2,4,84],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=5,(0,2)=18,(1,2)=22,(0,4)=44,(2,3)=50,(0,3)=54,(3,4)=75,(2,4)=84,(1,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(2)=2, Add (0,2)=18 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=1, Add (1,2)=22 Failed, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=44 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=54 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=96 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,0],[0,3,70],[0,4,40],[1,2,43],[1,4,42],[2,3,79],[2,4,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,70],[0,4,40],[1,2,43],[1,4,42],[2,3,79],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,70],[0,4,40],[1,2,43],[1,4,42],[2,3,79],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,70],[0,4,40],[1,2,43],[1,4,42],[2,3,79],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (2,4)=16, w=16\",\"Add (1,4)=42, w=58\",\"Add (0,3)=70, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,70],[0,4,40],[1,2,43],[1,4,42],[2,3,79],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (2,4)=16 Succeeded, w=16\",\"Add (0,4)=40 Failed, w=16\",\"Add (1,4)=42 Succeeded, w=58\",\"Add (1,2)=43 Failed, w=58\",\"Add (0,3)=70 Succeeded, w=128\",\"Add (2,3)=79 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,70],[0,4,40],[1,2,43],[1,4,42],[2,3,79],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,4)=16,(0,4)=40,(1,4)=42,(1,2)=43,(0,3)=70,(2,3)=79]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(2)=0, Find(4)=4, Add (2,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=16\",\"Find(1)=1, Find(4)=0, Add (1,4)=42 Succeeded, w=58\",\"Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=58\",\"Find(0)=0, Find(3)=3, Add (0,3)=70 Succeeded, w=128\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,0],[0,3,70],[0,4,40],[1,2,43],[1,4,42],[2,3,79],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,4)=16,(0,4)=40,(1,4)=42,(1,2)=43,(0,3)=70,(2,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=40 Failed, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=42 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=70 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,33],[0,2,22],[0,3,86],[0,4,28],[0,5,31],[0,6,22],[0,7,69],[1,2,44],[1,3,2],[1,4,91],[1,5,2],[1,6,66],[1,7,72],[2,3,87],[2,4,89],[2,5,76],[2,6,4],[2,7,91],[3,4,100],[3,5,32],[3,6,52],[3,7,53],[4,5,16],[4,6,66],[4,7,93],[5,6,98],[5,7,74],[6,7,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,22],[0,3,86],[0,4,28],[0,5,31],[0,6,22],[0,7,69],[1,2,44],[1,3,2],[1,4,91],[1,5,2],[1,6,66],[1,7,72],[2,3,87],[2,4,89],[2,5,76],[2,6,4],[2,7,91],[3,4,100],[3,5,32],[3,6,52],[3,7,53],[4,5,16],[4,6,66],[4,7,93],[5,6,98],[5,7,74],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,22],[0,3,86],[0,4,28],[0,5,31],[0,6,22],[0,7,69],[1,2,44],[1,3,2],[1,4,91],[1,5,2],[1,6,66],[1,7,72],[2,3,87],[2,4,89],[2,5,76],[2,6,4],[2,7,91],[3,4,100],[3,5,32],[3,6,52],[3,7,53],[4,5,16],[4,6,66],[4,7,93],[5,6,98],[5,7,74],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (3,7)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,22],[0,3,86],[0,4,28],[0,5,31],[0,6,22],[0,7,69],[1,2,44],[1,3,2],[1,4,91],[1,5,2],[1,6,66],[1,7,72],[2,3,87],[2,4,89],[2,5,76],[2,6,4],[2,7,91],[3,4,100],[3,5,32],[3,6,52],[3,7,53],[4,5,16],[4,6,66],[4,7,93],[5,6,98],[5,7,74],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (1,5)=2, w=4\",\"Add (2,6)=4, w=8\",\"Add (4,5)=16, w=24\",\"Add (0,2)=22, w=46\",\"Add (0,4)=28, w=74\",\"Add (3,7)=53, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,22],[0,3,86],[0,4,28],[0,5,31],[0,6,22],[0,7,69],[1,2,44],[1,3,2],[1,4,91],[1,5,2],[1,6,66],[1,7,72],[2,3,87],[2,4,89],[2,5,76],[2,6,4],[2,7,91],[3,4,100],[3,5,32],[3,6,52],[3,7,53],[4,5,16],[4,6,66],[4,7,93],[5,6,98],[5,7,74],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (1,5)=2 Succeeded, w=4\",\"Add (2,6)=4 Succeeded, w=8\",\"Add (4,5)=16 Succeeded, w=24\",\"Add (0,2)=22 Succeeded, w=46\",\"Add (0,6)=22 Failed, w=46\",\"Add (0,4)=28 Succeeded, w=74\",\"Add (0,5)=31 Failed, w=74\",\"Add (3,5)=32 Failed, w=74\",\"Add (0,1)=33 Failed, w=74\",\"Add (1,2)=44 Failed, w=74\",\"Add (3,6)=52 Failed, w=74\",\"Add (3,7)=53 Succeeded, w=127\",\"Add (1,6)=66 Failed, w=127\",\"Add (4,6)=66 Failed, w=127\",\"Add (0,7)=69 Failed, w=127\",\"Add (1,7)=72 Failed, w=127\",\"Add (5,7)=74 Failed, w=127\",\"Add (2,5)=76 Failed, w=127\",\"Add (0,3)=86 Failed, w=127\",\"Add (2,3)=87 Failed, w=127\",\"Add (2,4)=89 Failed, w=127\",\"Add (1,4)=91 Failed, w=127\",\"Add (2,7)=91 Failed, w=127\",\"Add (4,7)=93 Failed, w=127\",\"Add (5,6)=98 Failed, w=127\",\"Add (6,7)=98 Failed, w=127\",\"Add (3,4)=100 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,22],[0,3,86],[0,4,28],[0,5,31],[0,6,22],[0,7,69],[1,2,44],[1,3,2],[1,4,91],[1,5,2],[1,6,66],[1,7,72],[2,3,87],[2,4,89],[2,5,76],[2,6,4],[2,7,91],[3,4,100],[3,5,32],[3,6,52],[3,7,53],[4,5,16],[4,6,66],[4,7,93],[5,6,98],[5,7,74],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,5)=2,(2,6)=4,(4,5)=16,(0,2)=22,(0,6)=22,(0,4)=28,(0,5)=31,(3,5)=32,(0,1)=33,(1,2)=44,(3,6)=52,(3,7)=53,(1,6)=66,(4,6)=66,(0,7)=69,(1,7)=72,(5,7)=74,(2,5)=76,(0,3)=86,(2,3)=87,(2,4)=89,(1,4)=91,(2,7)=91,(4,7)=93,(5,6)=98,(6,7)=98,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=4\",\"Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=8\",\"Find(4)=4, Find(5)=1, Add (4,5)=16 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=46\",\"Find(0)=2, Find(6)=2, Add (0,6)=22 Failed, w=46\",\"Find(0)=2, Find(4)=1, Add (0,4)=28 Succeeded, w=74\",\"Find(0)=2, Find(5)=2, Add (0,5)=31 Failed, w=74\",\"Find(3)=2, Find(5)=2, Add (3,5)=32 Failed, w=74\",\"Find(0)=2, Find(1)=2, Add (0,1)=33 Failed, w=74\",\"Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=74\",\"Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=74\",\"Find(3)=2, Find(7)=7, Add (3,7)=53 Succeeded, w=127\",\"Find(1)=2, Find(6)=2, Add (1,6)=66 Failed, w=127\",\"Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=127\",\"Find(0)=2, Find(7)=2, Add (0,7)=69 Failed, w=127\",\"Find(1)=2, Find(7)=2, Add (1,7)=72 Failed, w=127\",\"Find(5)=2, Find(7)=2, Add (5,7)=74 Failed, w=127\",\"Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=127\",\"Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=127\",\"Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=127\",\"Find(2)=2, Find(4)=2, Add (2,4)=89 Failed, w=127\",\"Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=127\",\"Find(2)=2, Find(7)=2, Add (2,7)=91 Failed, w=127\",\"Find(4)=2, Find(7)=2, Add (4,7)=93 Failed, w=127\",\"Find(5)=2, Find(6)=2, Add (5,6)=98 Failed, w=127\",\"Find(6)=2, Find(7)=2, Add (6,7)=98 Failed, w=127\",\"Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,33],[0,2,22],[0,3,86],[0,4,28],[0,5,31],[0,6,22],[0,7,69],[1,2,44],[1,3,2],[1,4,91],[1,5,2],[1,6,66],[1,7,72],[2,3,87],[2,4,89],[2,5,76],[2,6,4],[2,7,91],[3,4,100],[3,5,32],[3,6,52],[3,7,53],[4,5,16],[4,6,66],[4,7,93],[5,6,98],[5,7,74],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,5)=2,(2,6)=4,(4,5)=16,(0,2)=22,(0,6)=22,(0,4)=28,(0,5)=31,(3,5)=32,(0,1)=33,(1,2)=44,(3,6)=52,(3,7)=53,(1,6)=66,(4,6)=66,(0,7)=69,(1,7)=72,(5,7)=74,(2,5)=76,(0,3)=86,(2,3)=87,(2,4)=89,(1,4)=91,(2,7)=91,(4,7)=93,(5,6)=98,(6,7)=98,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 7}, Find(4)=4, Find(5)=1, Add (4,5)=16 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 7}, Find(0)=2, Find(6)=2, Add (0,6)=22 Failed, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2, 7: 7}, Find(0)=2, Find(4)=1, Add (0,4)=28 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(5)=2, Add (0,5)=31 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 7}, Find(3)=2, Find(5)=2, Add (3,5)=32 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(1)=2, Add (0,1)=33 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 7}, Find(1)=2, Find(2)=2, Add (1,2)=44 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 7}, Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=7, Add (3,7)=53 Succeeded, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=66 Failed, w=127\",\"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)=66 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=69 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=72 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=74 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=76 Failed, w=127\",\"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)=86 Failed, w=127\",\"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)=87 Failed, w=127\",\"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)=89 Failed, w=127\",\"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)=91 Failed, w=127\",\"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)=91 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=93 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=98 Failed, w=127\",\"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)=98 Failed, w=127\",\"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)=100 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,85],[0,4,12],[1,2,4],[1,3,75],[1,4,53],[1,5,47],[2,3,14],[2,4,68],[2,6,56],[3,5,23],[3,6,28],[4,5,40],[4,6,46],[5,6,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,12],[1,2,4],[1,3,75],[1,4,53],[1,5,47],[2,3,14],[2,4,68],[2,6,56],[3,5,23],[3,6,28],[4,5,40],[4,6,46],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,12],[1,2,4],[1,3,75],[1,4,53],[1,5,47],[2,3,14],[2,4,68],[2,6,56],[3,5,23],[3,6,28],[4,5,40],[4,6,46],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (3,6)\",\"Add (4,5)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,12],[1,2,4],[1,3,75],[1,4,53],[1,5,47],[2,3,14],[2,4,68],[2,6,56],[3,5,23],[3,6,28],[4,5,40],[4,6,46],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,4)=12, w=16\",\"Add (2,3)=14, w=30\",\"Add (3,5)=23, w=53\",\"Add (3,6)=28, w=81\",\"Add (4,5)=40, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,12],[1,2,4],[1,3,75],[1,4,53],[1,5,47],[2,3,14],[2,4,68],[2,6,56],[3,5,23],[3,6,28],[4,5,40],[4,6,46],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,4)=12 Succeeded, w=16\",\"Add (2,3)=14 Succeeded, w=30\",\"Add (3,5)=23 Succeeded, w=53\",\"Add (3,6)=28 Succeeded, w=81\",\"Add (5,6)=28 Failed, w=81\",\"Add (4,5)=40 Succeeded, w=121\",\"Add (4,6)=46 Failed, w=121\",\"Add (1,5)=47 Failed, w=121\",\"Add (1,4)=53 Failed, w=121\",\"Add (2,6)=56 Failed, w=121\",\"Add (2,4)=68 Failed, w=121\",\"Add (1,3)=75 Failed, w=121\",\"Add (0,1)=85 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,12],[1,2,4],[1,3,75],[1,4,53],[1,5,47],[2,3,14],[2,4,68],[2,6,56],[3,5,23],[3,6,28],[4,5,40],[4,6,46],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,4)=12,(2,3)=14,(3,5)=23,(3,6)=28,(5,6)=28,(4,5)=40,(4,6)=46,(1,5)=47,(1,4)=53,(2,6)=56,(2,4)=68,(1,3)=75,(0,1)=85]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=16\",\"Find(2)=1, Find(3)=3, Add (2,3)=14 Succeeded, w=30\",\"Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=53\",\"Find(3)=1, Find(6)=6, Add (3,6)=28 Succeeded, w=81\",\"Find(5)=1, Find(6)=1, Add (5,6)=28 Failed, w=81\",\"Find(4)=0, Find(5)=1, Add (4,5)=40 Succeeded, w=121\",\"Find(4)=0, Find(6)=0, Add (4,6)=46 Failed, w=121\",\"Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=121\",\"Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=121\",\"Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=121\",\"Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=121\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=121\",\"Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,85],[0,4,12],[1,2,4],[1,3,75],[1,4,53],[1,5,47],[2,3,14],[2,4,68],[2,6,56],[3,5,23],[3,6,28],[4,5,40],[4,6,46],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,4)=12,(2,3)=14,(3,5)=23,(3,6)=28,(5,6)=28,(4,5)=40,(4,6)=46,(1,5)=47,(1,4)=53,(2,6)=56,(2,4)=68,(1,3)=75,(0,1)=85]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 6}, Find(2)=1, Find(3)=3, Add (2,3)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 6}, Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=28 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=28 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(4)=0, Find(5)=1, Add (4,5)=40 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 1, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=46 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,80],[0,3,30],[0,4,26],[0,5,5],[1,3,83],[1,4,50],[1,6,28],[1,7,12],[2,3,55],[2,4,38],[2,6,12],[2,7,75],[3,5,4],[3,7,95],[4,6,75],[4,7,65],[6,7,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,80],[0,3,30],[0,4,26],[0,5,5],[1,3,83],[1,4,50],[1,6,28],[1,7,12],[2,3,55],[2,4,38],[2,6,12],[2,7,75],[3,5,4],[3,7,95],[4,6,75],[4,7,65],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,80],[0,3,30],[0,4,26],[0,5,5],[1,3,83],[1,4,50],[1,6,28],[1,7,12],[2,3,55],[2,4,38],[2,6,12],[2,7,75],[3,5,4],[3,7,95],[4,6,75],[4,7,65],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,5)\",\"Add (6,7)\",\"Add (1,7)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,80],[0,3,30],[0,4,26],[0,5,5],[1,3,83],[1,4,50],[1,6,28],[1,7,12],[2,3,55],[2,4,38],[2,6,12],[2,7,75],[3,5,4],[3,7,95],[4,6,75],[4,7,65],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (0,5)=5, w=9\",\"Add (6,7)=11, w=20\",\"Add (1,7)=12, w=32\",\"Add (2,6)=12, w=44\",\"Add (0,4)=26, w=70\",\"Add (2,4)=38, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,80],[0,3,30],[0,4,26],[0,5,5],[1,3,83],[1,4,50],[1,6,28],[1,7,12],[2,3,55],[2,4,38],[2,6,12],[2,7,75],[3,5,4],[3,7,95],[4,6,75],[4,7,65],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (0,5)=5 Succeeded, w=9\",\"Add (6,7)=11 Succeeded, w=20\",\"Add (1,7)=12 Succeeded, w=32\",\"Add (2,6)=12 Succeeded, w=44\",\"Add (0,4)=26 Succeeded, w=70\",\"Add (1,6)=28 Failed, w=70\",\"Add (0,3)=30 Failed, w=70\",\"Add (2,4)=38 Succeeded, w=108\",\"Add (1,4)=50 Failed, w=108\",\"Add (2,3)=55 Failed, w=108\",\"Add (4,7)=65 Failed, w=108\",\"Add (2,7)=75 Failed, w=108\",\"Add (4,6)=75 Failed, w=108\",\"Add (0,2)=80 Failed, w=108\",\"Add (1,3)=83 Failed, w=108\",\"Add (3,7)=95 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,80],[0,3,30],[0,4,26],[0,5,5],[1,3,83],[1,4,50],[1,6,28],[1,7,12],[2,3,55],[2,4,38],[2,6,12],[2,7,75],[3,5,4],[3,7,95],[4,6,75],[4,7,65],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(0,5)=5,(6,7)=11,(1,7)=12,(2,6)=12,(0,4)=26,(1,6)=28,(0,3)=30,(2,4)=38,(1,4)=50,(2,3)=55,(4,7)=65,(2,7)=75,(4,6)=75,(0,2)=80,(1,3)=83,(3,7)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=3, Add (0,5)=5 Succeeded, w=9\",\"Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=20\",\"Find(1)=1, Find(7)=6, Add (1,7)=12 Succeeded, w=32\",\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=44\",\"Find(0)=3, Find(4)=4, Add (0,4)=26 Succeeded, w=70\",\"Find(1)=6, Find(6)=6, Add (1,6)=28 Failed, w=70\",\"Find(0)=3, Find(3)=3, Add (0,3)=30 Failed, w=70\",\"Find(2)=6, Find(4)=3, Add (2,4)=38 Succeeded, w=108\",\"Find(1)=6, Find(4)=6, Add (1,4)=50 Failed, w=108\",\"Find(2)=6, Find(3)=6, Add (2,3)=55 Failed, w=108\",\"Find(4)=6, Find(7)=6, Add (4,7)=65 Failed, w=108\",\"Find(2)=6, Find(7)=6, Add (2,7)=75 Failed, w=108\",\"Find(4)=6, Find(6)=6, Add (4,6)=75 Failed, w=108\",\"Find(0)=6, Find(2)=6, Add (0,2)=80 Failed, w=108\",\"Find(1)=6, Find(3)=6, Add (1,3)=83 Failed, w=108\",\"Find(3)=6, Find(7)=6, Add (3,7)=95 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,80],[0,3,30],[0,4,26],[0,5,5],[1,3,83],[1,4,50],[1,6,28],[1,7,12],[2,3,55],[2,4,38],[2,6,12],[2,7,75],[3,5,4],[3,7,95],[4,6,75],[4,7,65],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(0,5)=5,(6,7)=11,(1,7)=12,(2,6)=12,(0,4)=26,(1,6)=28,(0,3)=30,(2,4)=38,(1,4)=50,(2,3)=55,(4,7)=65,(2,7)=75,(4,6)=75,(0,2)=80,(1,3)=83,(3,7)=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)=4 Succeeded, w=4\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(5)=3, Add (0,5)=5 Succeeded, w=9\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=20\",\"Parent: {0: 3, 1: 6, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(1)=1, Find(7)=6, Add (1,7)=12 Succeeded, w=32\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=44\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 3, 4: 3, 5: 3, 6: 6, 7: 6}, Find(0)=3, Find(4)=4, Add (0,4)=26 Succeeded, w=70\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 3, 4: 3, 5: 3, 6: 6, 7: 6}, Find(1)=6, Find(6)=6, Add (1,6)=28 Failed, w=70\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 3, 4: 3, 5: 3, 6: 6, 7: 6}, Find(0)=3, Find(3)=3, Add (0,3)=30 Failed, w=70\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 6, 4: 3, 5: 3, 6: 6, 7: 6}, Find(2)=6, Find(4)=3, Add (2,4)=38 Succeeded, w=108\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 6, 4: 6, 5: 3, 6: 6, 7: 6}, Find(1)=6, Find(4)=6, Add (1,4)=50 Failed, w=108\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 6, 4: 6, 5: 3, 6: 6, 7: 6}, Find(2)=6, Find(3)=6, Add (2,3)=55 Failed, w=108\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 6, 4: 6, 5: 3, 6: 6, 7: 6}, Find(4)=6, Find(7)=6, Add (4,7)=65 Failed, w=108\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 6, 4: 6, 5: 3, 6: 6, 7: 6}, Find(2)=6, Find(7)=6, Add (2,7)=75 Failed, w=108\",\"Parent: {0: 3, 1: 6, 2: 6, 3: 6, 4: 6, 5: 3, 6: 6, 7: 6}, Find(4)=6, Find(6)=6, Add (4,6)=75 Failed, w=108\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 3, 6: 6, 7: 6}, Find(0)=6, Find(2)=6, Add (0,2)=80 Failed, w=108\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 3, 6: 6, 7: 6}, Find(1)=6, Find(3)=6, Add (1,3)=83 Failed, w=108\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 3, 6: 6, 7: 6}, Find(3)=6, Find(7)=6, Add (3,7)=95 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,73],[0,5,64],[1,2,89],[1,5,91],[1,6,53],[2,3,90],[2,5,49],[3,5,4],[4,6,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,73],[0,5,64],[1,2,89],[1,5,91],[1,6,53],[2,3,90],[2,5,49],[3,5,4],[4,6,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,73],[0,5,64],[1,2,89],[1,5,91],[1,6,53],[2,3,90],[2,5,49],[3,5,4],[4,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,73],[0,5,64],[1,2,89],[1,5,91],[1,6,53],[2,3,90],[2,5,49],[3,5,4],[4,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (4,6)=31, w=35\",\"Add (2,5)=49, w=84\",\"Add (1,6)=53, w=137\",\"Add (0,5)=64, w=201\",\"Add (1,2)=89, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,73],[0,5,64],[1,2,89],[1,5,91],[1,6,53],[2,3,90],[2,5,49],[3,5,4],[4,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (4,6)=31 Succeeded, w=35\",\"Add (2,5)=49 Succeeded, w=84\",\"Add (1,6)=53 Succeeded, w=137\",\"Add (0,5)=64 Succeeded, w=201\",\"Add (0,3)=73 Failed, w=201\",\"Add (1,2)=89 Succeeded, w=290\",\"Add (2,3)=90 Failed, w=290\",\"Add (1,5)=91 Failed, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,73],[0,5,64],[1,2,89],[1,5,91],[1,6,53],[2,3,90],[2,5,49],[3,5,4],[4,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(4,6)=31,(2,5)=49,(1,6)=53,(0,5)=64,(0,3)=73,(1,2)=89,(2,3)=90,(1,5)=91]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(4)=4, Find(6)=6, Add (4,6)=31 Succeeded, w=35\",\"Find(2)=2, Find(5)=3, Add (2,5)=49 Succeeded, w=84\",\"Find(1)=1, Find(6)=4, Add (1,6)=53 Succeeded, w=137\",\"Find(0)=0, Find(5)=3, Add (0,5)=64 Succeeded, w=201\",\"Find(0)=3, Find(3)=3, Add (0,3)=73 Failed, w=201\",\"Find(1)=4, Find(2)=3, Add (1,2)=89 Succeeded, w=290\",\"Find(2)=4, Find(3)=4, Add (2,3)=90 Failed, w=290\",\"Find(1)=4, Find(5)=4, Add (1,5)=91 Failed, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,73],[0,5,64],[1,2,89],[1,5,91],[1,6,53],[2,3,90],[2,5,49],[3,5,4],[4,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(4,6)=31,(2,5)=49,(1,6)=53,(0,5)=64,(0,3)=73,(1,2)=89,(2,3)=90,(1,5)=91]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=31 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4}, Find(2)=2, Find(5)=3, Add (2,5)=49 Succeeded, w=84\",\"Parent: {0: 0, 1: 4, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=53 Succeeded, w=137\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4}, Find(0)=0, Find(5)=3, Add (0,5)=64 Succeeded, w=201\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 3, 4: 4, 5: 3, 6: 4}, Find(0)=3, Find(3)=3, Add (0,3)=73 Failed, w=201\",\"Parent: {0: 3, 1: 4, 2: 3, 3: 4, 4: 4, 5: 3, 6: 4}, Find(1)=4, Find(2)=3, Add (1,2)=89 Succeeded, w=290\",\"Parent: {0: 3, 1: 4, 2: 4, 3: 4, 4: 4, 5: 3, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=90 Failed, w=290\",\"Parent: {0: 3, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=91 Failed, w=290\"],\"Answer\":290}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,3],[0,5,1],[0,6,37],[2,4,19],[2,5,93],[3,5,66],[3,6,67],[4,6,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,3],[0,5,1],[0,6,37],[2,4,19],[2,5,93],[3,5,66],[3,6,67],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,3],[0,5,1],[0,6,37],[2,4,19],[2,5,93],[3,5,66],[3,6,67],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (2,5)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,3],[0,5,1],[0,6,37],[2,4,19],[2,5,93],[3,5,66],[3,6,67],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (0,3)=3, w=4\",\"Add (2,4)=19, w=23\",\"Add (0,6)=37, w=60\",\"Add (2,5)=93, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,3],[0,5,1],[0,6,37],[2,4,19],[2,5,93],[3,5,66],[3,6,67],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (0,3)=3 Succeeded, w=4\",\"Add (2,4)=19 Succeeded, w=23\",\"Add (0,6)=37 Succeeded, w=60\",\"Add (3,5)=66 Failed, w=60\",\"Add (3,6)=67 Failed, w=60\",\"Add (2,5)=93 Succeeded, w=153\",\"Add (4,6)=93 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,3],[0,5,1],[0,6,37],[2,4,19],[2,5,93],[3,5,66],[3,6,67],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(0,3)=3,(2,4)=19,(0,6)=37,(3,5)=66,(3,6)=67,(2,5)=93,(4,6)=93]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=23\",\"Find(0)=0, Find(6)=6, Add (0,6)=37 Succeeded, w=60\",\"Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=60\",\"Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=60\",\"Find(2)=2, Find(5)=0, Add (2,5)=93 Succeeded, w=153\",\"Find(4)=2, Find(6)=2, Add (4,6)=93 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,3],[0,5,1],[0,6,37],[2,4,19],[2,5,93],[3,5,66],[3,6,67],[4,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(0,3)=3,(2,4)=19,(0,6)=37,(3,5)=66,(3,6)=67,(2,5)=93,(4,6)=93]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=37 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=60\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=60\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=2, Find(5)=0, Add (2,5)=93 Succeeded, w=153\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=93 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,2,65],[0,3,27],[0,4,3],[0,7,13],[1,4,50],[1,5,48],[1,6,44],[1,7,79],[2,3,85],[2,4,47],[2,5,36],[3,4,45],[3,5,61],[3,6,97],[3,7,90],[4,6,54],[5,6,66],[5,7,100],[6,7,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,65],[0,3,27],[0,4,3],[0,7,13],[1,4,50],[1,5,48],[1,6,44],[1,7,79],[2,3,85],[2,4,47],[2,5,36],[3,4,45],[3,5,61],[3,6,97],[3,7,90],[4,6,54],[5,6,66],[5,7,100],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,65],[0,3,27],[0,4,3],[0,7,13],[1,4,50],[1,5,48],[1,6,44],[1,7,79],[2,3,85],[2,4,47],[2,5,36],[3,4,45],[3,5,61],[3,6,97],[3,7,90],[4,6,54],[5,6,66],[5,7,100],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (6,7)\",\"Add (0,7)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,65],[0,3,27],[0,4,3],[0,7,13],[1,4,50],[1,5,48],[1,6,44],[1,7,79],[2,3,85],[2,4,47],[2,5,36],[3,4,45],[3,5,61],[3,6,97],[3,7,90],[4,6,54],[5,6,66],[5,7,100],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (6,7)=3, w=6\",\"Add (0,7)=13, w=19\",\"Add (0,3)=27, w=46\",\"Add (2,5)=36, w=82\",\"Add (0,1)=41, w=123\",\"Add (2,4)=47, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,65],[0,3,27],[0,4,3],[0,7,13],[1,4,50],[1,5,48],[1,6,44],[1,7,79],[2,3,85],[2,4,47],[2,5,36],[3,4,45],[3,5,61],[3,6,97],[3,7,90],[4,6,54],[5,6,66],[5,7,100],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (6,7)=3 Succeeded, w=6\",\"Add (0,7)=13 Succeeded, w=19\",\"Add (0,3)=27 Succeeded, w=46\",\"Add (2,5)=36 Succeeded, w=82\",\"Add (0,1)=41 Succeeded, w=123\",\"Add (1,6)=44 Failed, w=123\",\"Add (3,4)=45 Failed, w=123\",\"Add (2,4)=47 Succeeded, w=170\",\"Add (1,5)=48 Failed, w=170\",\"Add (1,4)=50 Failed, w=170\",\"Add (4,6)=54 Failed, w=170\",\"Add (3,5)=61 Failed, w=170\",\"Add (0,2)=65 Failed, w=170\",\"Add (5,6)=66 Failed, w=170\",\"Add (1,7)=79 Failed, w=170\",\"Add (2,3)=85 Failed, w=170\",\"Add (3,7)=90 Failed, w=170\",\"Add (3,6)=97 Failed, w=170\",\"Add (5,7)=100 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,65],[0,3,27],[0,4,3],[0,7,13],[1,4,50],[1,5,48],[1,6,44],[1,7,79],[2,3,85],[2,4,47],[2,5,36],[3,4,45],[3,5,61],[3,6,97],[3,7,90],[4,6,54],[5,6,66],[5,7,100],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(6,7)=3,(0,7)=13,(0,3)=27,(2,5)=36,(0,1)=41,(1,6)=44,(3,4)=45,(2,4)=47,(1,5)=48,(1,4)=50,(4,6)=54,(3,5)=61,(0,2)=65,(5,6)=66,(1,7)=79,(2,3)=85,(3,7)=90,(3,6)=97,(5,7)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=6\",\"Find(0)=0, Find(7)=6, Add (0,7)=13 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=46\",\"Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=82\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=123\",\"Find(1)=0, Find(6)=0, Add (1,6)=44 Failed, w=123\",\"Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=123\",\"Find(2)=2, Find(4)=0, Add (2,4)=47 Succeeded, w=170\",\"Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=170\",\"Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=170\",\"Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=170\",\"Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=170\",\"Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=170\",\"Find(5)=0, Find(6)=0, Add (5,6)=66 Failed, w=170\",\"Find(1)=0, Find(7)=0, Add (1,7)=79 Failed, w=170\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=170\",\"Find(3)=0, Find(7)=0, Add (3,7)=90 Failed, w=170\",\"Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=170\",\"Find(5)=0, Find(7)=0, Add (5,7)=100 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,65],[0,3,27],[0,4,3],[0,7,13],[1,4,50],[1,5,48],[1,6,44],[1,7,79],[2,3,85],[2,4,47],[2,5,36],[3,4,45],[3,5,61],[3,6,97],[3,7,90],[4,6,54],[5,6,66],[5,7,100],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(6,7)=3,(0,7)=13,(0,3)=27,(2,5)=36,(0,1)=41,(1,6)=44,(3,4)=45,(2,4)=47,(1,5)=48,(1,4)=50,(4,6)=54,(3,5)=61,(0,2)=65,(5,6)=66,(1,7)=79,(2,3)=85,(3,7)=90,(3,6)=97,(5,7)=100]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 6}, Find(0)=0, Find(7)=6, Add (0,7)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(1)=0, Find(6)=0, Add (1,6)=44 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0, 7: 6}, Find(2)=2, Find(4)=0, Add (2,4)=47 Succeeded, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(4)=0, Find(6)=0, Add (4,6)=54 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(3)=0, Find(5)=0, Add (3,5)=61 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(5)=0, Find(6)=0, Add (5,6)=66 Failed, w=170\",\"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)=79 Failed, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=170\",\"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)=90 Failed, w=170\",\"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)=97 Failed, w=170\",\"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)=100 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,14],[0,4,23],[1,4,42],[3,4,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[0,4,23],[1,4,42],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[0,4,23],[1,4,42],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[0,4,23],[1,4,42],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (0,4)=23, w=37\",\"Add (1,4)=42, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[0,4,23],[1,4,42],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (0,4)=23 Succeeded, w=37\",\"Add (1,4)=42 Succeeded, w=79\",\"Add (3,4)=60 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[0,4,23],[1,4,42],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(0,4)=23,(1,4)=42,(3,4)=60]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=37\",\"Find(1)=1, Find(4)=0, Add (1,4)=42 Succeeded, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,14],[0,4,23],[1,4,42],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(0,4)=23,(1,4)=42,(3,4)=60]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=42 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,59],[0,3,4],[1,2,75],[1,3,75],[2,3,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,59],[0,3,4],[1,2,75],[1,3,75],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,59],[0,3,4],[1,2,75],[1,3,75],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,59],[0,3,4],[1,2,75],[1,3,75],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (2,3)=47, w=51\",\"Add (1,2)=75, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,59],[0,3,4],[1,2,75],[1,3,75],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (2,3)=47 Succeeded, w=51\",\"Add (0,2)=59 Failed, w=51\",\"Add (1,2)=75 Succeeded, w=126\",\"Add (1,3)=75 Failed, w=126\",\"Add (0,1)=84 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,59],[0,3,4],[1,2,75],[1,3,75],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(2,3)=47,(0,2)=59,(1,2)=75,(1,3)=75,(0,1)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=0, Add (2,3)=47 Succeeded, w=51\",\"Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=51\",\"Find(1)=1, Find(2)=0, Add (1,2)=75 Succeeded, w=126\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=126\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,59],[0,3,4],[1,2,75],[1,3,75],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(2,3)=47,(0,2)=59,(1,2)=75,(1,3)=75,(0,1)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=47 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=75 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,66],[0,2,91],[0,3,100],[0,4,40],[0,5,53],[0,7,69],[1,2,14],[1,3,99],[1,4,67],[1,5,11],[1,6,39],[2,3,92],[2,4,19],[2,5,49],[2,6,12],[2,7,32],[3,4,35],[3,5,91],[3,6,80],[3,7,85],[4,5,39],[4,6,41],[5,6,67],[5,7,65],[6,7,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,91],[0,3,100],[0,4,40],[0,5,53],[0,7,69],[1,2,14],[1,3,99],[1,4,67],[1,5,11],[1,6,39],[2,3,92],[2,4,19],[2,5,49],[2,6,12],[2,7,32],[3,4,35],[3,5,91],[3,6,80],[3,7,85],[4,5,39],[4,6,41],[5,6,67],[5,7,65],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,91],[0,3,100],[0,4,40],[0,5,53],[0,7,69],[1,2,14],[1,3,99],[1,4,67],[1,5,11],[1,6,39],[2,3,92],[2,4,19],[2,5,49],[2,6,12],[2,7,32],[3,4,35],[3,5,91],[3,6,80],[3,7,85],[4,5,39],[4,6,41],[5,6,67],[5,7,65],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (2,7)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,91],[0,3,100],[0,4,40],[0,5,53],[0,7,69],[1,2,14],[1,3,99],[1,4,67],[1,5,11],[1,6,39],[2,3,92],[2,4,19],[2,5,49],[2,6,12],[2,7,32],[3,4,35],[3,5,91],[3,6,80],[3,7,85],[4,5,39],[4,6,41],[5,6,67],[5,7,65],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11, w=11\",\"Add (2,6)=12, w=23\",\"Add (1,2)=14, w=37\",\"Add (2,4)=19, w=56\",\"Add (2,7)=32, w=88\",\"Add (3,4)=35, w=123\",\"Add (0,4)=40, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,91],[0,3,100],[0,4,40],[0,5,53],[0,7,69],[1,2,14],[1,3,99],[1,4,67],[1,5,11],[1,6,39],[2,3,92],[2,4,19],[2,5,49],[2,6,12],[2,7,32],[3,4,35],[3,5,91],[3,6,80],[3,7,85],[4,5,39],[4,6,41],[5,6,67],[5,7,65],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11 Succeeded, w=11\",\"Add (2,6)=12 Succeeded, w=23\",\"Add (1,2)=14 Succeeded, w=37\",\"Add (2,4)=19 Succeeded, w=56\",\"Add (2,7)=32 Succeeded, w=88\",\"Add (3,4)=35 Succeeded, w=123\",\"Add (1,6)=39 Failed, w=123\",\"Add (4,5)=39 Failed, w=123\",\"Add (0,4)=40 Succeeded, w=163\",\"Add (4,6)=41 Failed, w=163\",\"Add (2,5)=49 Failed, w=163\",\"Add (6,7)=50 Failed, w=163\",\"Add (0,5)=53 Failed, w=163\",\"Add (5,7)=65 Failed, w=163\",\"Add (0,1)=66 Failed, w=163\",\"Add (1,4)=67 Failed, w=163\",\"Add (5,6)=67 Failed, w=163\",\"Add (0,7)=69 Failed, w=163\",\"Add (3,6)=80 Failed, w=163\",\"Add (3,7)=85 Failed, w=163\",\"Add (0,2)=91 Failed, w=163\",\"Add (3,5)=91 Failed, w=163\",\"Add (2,3)=92 Failed, w=163\",\"Add (1,3)=99 Failed, w=163\",\"Add (0,3)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,91],[0,3,100],[0,4,40],[0,5,53],[0,7,69],[1,2,14],[1,3,99],[1,4,67],[1,5,11],[1,6,39],[2,3,92],[2,4,19],[2,5,49],[2,6,12],[2,7,32],[3,4,35],[3,5,91],[3,6,80],[3,7,85],[4,5,39],[4,6,41],[5,6,67],[5,7,65],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(2,6)=12,(1,2)=14,(2,4)=19,(2,7)=32,(3,4)=35,(1,6)=39,(4,5)=39,(0,4)=40,(4,6)=41,(2,5)=49,(6,7)=50,(0,5)=53,(5,7)=65,(0,1)=66,(1,4)=67,(5,6)=67,(0,7)=69,(3,6)=80,(3,7)=85,(0,2)=91,(3,5)=91,(2,3)=92,(1,3)=99,(0,3)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=23\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=37\",\"Find(2)=1, Find(4)=4, Add (2,4)=19 Succeeded, w=56\",\"Find(2)=1, Find(7)=7, Add (2,7)=32 Succeeded, w=88\",\"Find(3)=3, Find(4)=1, Add (3,4)=35 Succeeded, w=123\",\"Find(1)=1, Find(6)=1, Add (1,6)=39 Failed, w=123\",\"Find(4)=1, Find(5)=1, Add (4,5)=39 Failed, w=123\",\"Find(0)=0, Find(4)=1, Add (0,4)=40 Succeeded, w=163\",\"Find(4)=1, Find(6)=1, Add (4,6)=41 Failed, w=163\",\"Find(2)=1, Find(5)=1, Add (2,5)=49 Failed, w=163\",\"Find(6)=1, Find(7)=1, Add (6,7)=50 Failed, w=163\",\"Find(0)=1, Find(5)=1, Add (0,5)=53 Failed, w=163\",\"Find(5)=1, Find(7)=1, Add (5,7)=65 Failed, w=163\",\"Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=163\",\"Find(1)=1, Find(4)=1, Add (1,4)=67 Failed, w=163\",\"Find(5)=1, Find(6)=1, Add (5,6)=67 Failed, w=163\",\"Find(0)=1, Find(7)=1, Add (0,7)=69 Failed, w=163\",\"Find(3)=1, Find(6)=1, Add (3,6)=80 Failed, w=163\",\"Find(3)=1, Find(7)=1, Add (3,7)=85 Failed, w=163\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=163\",\"Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=163\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=163\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=163\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,66],[0,2,91],[0,3,100],[0,4,40],[0,5,53],[0,7,69],[1,2,14],[1,3,99],[1,4,67],[1,5,11],[1,6,39],[2,3,92],[2,4,19],[2,5,49],[2,6,12],[2,7,32],[3,4,35],[3,5,91],[3,6,80],[3,7,85],[4,5,39],[4,6,41],[5,6,67],[5,7,65],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(2,6)=12,(1,2)=14,(2,4)=19,(2,7)=32,(3,4)=35,(1,6)=39,(4,5)=39,(0,4)=40,(4,6)=41,(2,5)=49,(6,7)=50,(0,5)=53,(5,7)=65,(0,1)=66,(1,4)=67,(5,6)=67,(0,7)=69,(3,6)=80,(3,7)=85,(0,2)=91,(3,5)=91,(2,3)=92,(1,3)=99,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 2, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 2, 7: 7}, Find(2)=1, Find(4)=4, Add (2,4)=19 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 2, 7: 1}, Find(2)=1, Find(7)=7, Add (2,7)=32 Succeeded, w=88\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(3)=3, Find(4)=1, Add (3,4)=35 Succeeded, w=123\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=39 Failed, w=123\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=39 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=40 Succeeded, w=163\",\"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)=41 Failed, w=163\",\"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)=49 Failed, w=163\",\"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)=50 Failed, w=163\",\"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)=53 Failed, w=163\",\"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)=65 Failed, w=163\",\"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)=66 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=67 Failed, w=163\",\"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)=67 Failed, w=163\",\"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)=69 Failed, w=163\",\"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)=80 Failed, w=163\",\"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)=85 Failed, w=163\",\"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)=91 Failed, w=163\",\"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)=91 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=163\",\"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)=99 Failed, w=163\",\"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)=100 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,19],[0,2,96],[0,4,6],[0,5,81],[1,2,18],[1,3,38],[1,4,39],[1,5,4],[2,3,89],[2,4,62],[3,4,75],[3,5,17],[4,5,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,96],[0,4,6],[0,5,81],[1,2,18],[1,3,38],[1,4,39],[1,5,4],[2,3,89],[2,4,62],[3,4,75],[3,5,17],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,96],[0,4,6],[0,5,81],[1,2,18],[1,3,38],[1,4,39],[1,5,4],[2,3,89],[2,4,62],[3,4,75],[3,5,17],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,96],[0,4,6],[0,5,81],[1,2,18],[1,3,38],[1,4,39],[1,5,4],[2,3,89],[2,4,62],[3,4,75],[3,5,17],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (0,4)=6, w=10\",\"Add (3,5)=17, w=27\",\"Add (1,2)=18, w=45\",\"Add (0,1)=19, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,96],[0,4,6],[0,5,81],[1,2,18],[1,3,38],[1,4,39],[1,5,4],[2,3,89],[2,4,62],[3,4,75],[3,5,17],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (0,4)=6 Succeeded, w=10\",\"Add (3,5)=17 Succeeded, w=27\",\"Add (1,2)=18 Succeeded, w=45\",\"Add (0,1)=19 Succeeded, w=64\",\"Add (4,5)=32 Failed, w=64\",\"Add (1,3)=38 Failed, w=64\",\"Add (1,4)=39 Failed, w=64\",\"Add (2,4)=62 Failed, w=64\",\"Add (3,4)=75 Failed, w=64\",\"Add (0,5)=81 Failed, w=64\",\"Add (2,3)=89 Failed, w=64\",\"Add (0,2)=96 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,96],[0,4,6],[0,5,81],[1,2,18],[1,3,38],[1,4,39],[1,5,4],[2,3,89],[2,4,62],[3,4,75],[3,5,17],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(0,4)=6,(3,5)=17,(1,2)=18,(0,1)=19,(4,5)=32,(1,3)=38,(1,4)=39,(2,4)=62,(3,4)=75,(0,5)=81,(2,3)=89,(0,2)=96]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=10\",\"Find(3)=3, Find(5)=1, Add (3,5)=17 Succeeded, w=27\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=45\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=64\",\"Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=64\",\"Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=64\",\"Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=64\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=64\",\"Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=64\",\"Find(0)=0, Find(5)=0, Add (0,5)=81 Failed, w=64\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=64\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,2,96],[0,4,6],[0,5,81],[1,2,18],[1,3,38],[1,4,39],[1,5,4],[2,3,89],[2,4,62],[3,4,75],[3,5,17],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(0,4)=6,(3,5)=17,(1,2)=18,(0,1)=19,(4,5)=32,(1,3)=38,(1,4)=39,(2,4)=62,(3,4)=75,(0,5)=81,(2,3)=89,(0,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=38 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=81 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,44],[0,3,49],[0,6,18],[1,2,85],[1,4,79],[1,5,37],[1,6,62],[2,4,17],[2,6,98],[3,4,99],[3,5,60],[3,6,5],[4,5,84],[4,6,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,49],[0,6,18],[1,2,85],[1,4,79],[1,5,37],[1,6,62],[2,4,17],[2,6,98],[3,4,99],[3,5,60],[3,6,5],[4,5,84],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,49],[0,6,18],[1,2,85],[1,4,79],[1,5,37],[1,6,62],[2,4,17],[2,6,98],[3,4,99],[3,5,60],[3,6,5],[4,5,84],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,49],[0,6,18],[1,2,85],[1,4,79],[1,5,37],[1,6,62],[2,4,17],[2,6,98],[3,4,99],[3,5,60],[3,6,5],[4,5,84],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5, w=5\",\"Add (2,4)=17, w=22\",\"Add (0,6)=18, w=40\",\"Add (1,5)=37, w=77\",\"Add (0,2)=44, w=121\",\"Add (3,5)=60, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,49],[0,6,18],[1,2,85],[1,4,79],[1,5,37],[1,6,62],[2,4,17],[2,6,98],[3,4,99],[3,5,60],[3,6,5],[4,5,84],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5 Succeeded, w=5\",\"Add (2,4)=17 Succeeded, w=22\",\"Add (0,6)=18 Succeeded, w=40\",\"Add (1,5)=37 Succeeded, w=77\",\"Add (0,2)=44 Succeeded, w=121\",\"Add (4,6)=44 Failed, w=121\",\"Add (0,3)=49 Failed, w=121\",\"Add (3,5)=60 Succeeded, w=181\",\"Add (1,6)=62 Failed, w=181\",\"Add (1,4)=79 Failed, w=181\",\"Add (4,5)=84 Failed, w=181\",\"Add (1,2)=85 Failed, w=181\",\"Add (2,6)=98 Failed, w=181\",\"Add (3,4)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,49],[0,6,18],[1,2,85],[1,4,79],[1,5,37],[1,6,62],[2,4,17],[2,6,98],[3,4,99],[3,5,60],[3,6,5],[4,5,84],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(2,4)=17,(0,6)=18,(1,5)=37,(0,2)=44,(4,6)=44,(0,3)=49,(3,5)=60,(1,6)=62,(1,4)=79,(4,5)=84,(1,2)=85,(2,6)=98,(3,4)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=22\",\"Find(0)=0, Find(6)=3, Add (0,6)=18 Succeeded, w=40\",\"Find(1)=1, Find(5)=5, Add (1,5)=37 Succeeded, w=77\",\"Find(0)=3, Find(2)=2, Add (0,2)=44 Succeeded, w=121\",\"Find(4)=3, Find(6)=3, Add (4,6)=44 Failed, w=121\",\"Find(0)=3, Find(3)=3, Add (0,3)=49 Failed, w=121\",\"Find(3)=3, Find(5)=1, Add (3,5)=60 Succeeded, w=181\",\"Find(1)=3, Find(6)=3, Add (1,6)=62 Failed, w=181\",\"Find(1)=3, Find(4)=3, Add (1,4)=79 Failed, w=181\",\"Find(4)=3, Find(5)=3, Add (4,5)=84 Failed, w=181\",\"Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=181\",\"Find(2)=3, Find(6)=3, Add (2,6)=98 Failed, w=181\",\"Find(3)=3, Find(4)=3, Add (3,4)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,44],[0,3,49],[0,6,18],[1,2,85],[1,4,79],[1,5,37],[1,6,62],[2,4,17],[2,6,98],[3,4,99],[3,5,60],[3,6,5],[4,5,84],[4,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(2,4)=17,(0,6)=18,(1,5)=37,(0,2)=44,(4,6)=44,(0,3)=49,(3,5)=60,(1,6)=62,(1,4)=79,(4,5)=84,(1,2)=85,(2,6)=98,(3,4)=99]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=22\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=18 Succeeded, w=40\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 3}, Find(1)=1, Find(5)=5, Add (1,5)=37 Succeeded, w=77\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 2, 5: 1, 6: 3}, Find(0)=3, Find(2)=2, Add (0,2)=44 Succeeded, w=121\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=44 Failed, w=121\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=49 Failed, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(3)=3, Find(5)=1, Add (3,5)=60 Succeeded, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=62 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=79 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=84 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=98 Failed, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,2,21],[0,3,41],[1,2,59],[1,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,21],[0,3,41],[1,2,59],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,21],[0,3,41],[1,2,59],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,21],[0,3,41],[1,2,59],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (0,2)=21, w=32\",\"Add (0,3)=41, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,21],[0,3,41],[1,2,59],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (0,2)=21 Succeeded, w=32\",\"Add (0,3)=41 Succeeded, w=73\",\"Add (1,3)=45 Failed, w=73\",\"Add (1,2)=59 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,21],[0,3,41],[1,2,59],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,2)=21,(0,3)=41,(1,3)=45,(1,2)=59]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=32\",\"Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=73\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,21],[0,3,41],[1,2,59],[1,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,2)=21,(0,3)=41,(1,3)=45,(1,2)=59]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=45 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,49],[0,3,25],[0,4,25],[1,2,59],[1,3,39],[1,4,2],[2,3,100],[2,4,69],[3,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,49],[0,3,25],[0,4,25],[1,2,59],[1,3,39],[1,4,2],[2,3,100],[2,4,69],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,49],[0,3,25],[0,4,25],[1,2,59],[1,3,39],[1,4,2],[2,3,100],[2,4,69],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,49],[0,3,25],[0,4,25],[1,2,59],[1,3,39],[1,4,2],[2,3,100],[2,4,69],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (0,3)=25, w=27\",\"Add (0,4)=25, w=52\",\"Add (0,2)=49, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,49],[0,3,25],[0,4,25],[1,2,59],[1,3,39],[1,4,2],[2,3,100],[2,4,69],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (0,3)=25 Succeeded, w=27\",\"Add (0,4)=25 Succeeded, w=52\",\"Add (0,1)=26 Failed, w=52\",\"Add (1,3)=39 Failed, w=52\",\"Add (0,2)=49 Succeeded, w=101\",\"Add (1,2)=59 Failed, w=101\",\"Add (3,4)=62 Failed, w=101\",\"Add (2,4)=69 Failed, w=101\",\"Add (2,3)=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],\"edges\":[[0,1,26],[0,2,49],[0,3,25],[0,4,25],[1,2,59],[1,3,39],[1,4,2],[2,3,100],[2,4,69],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,3)=25,(0,4)=25,(0,1)=26,(1,3)=39,(0,2)=49,(1,2)=59,(3,4)=62,(2,4)=69,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=27\",\"Find(0)=0, Find(4)=1, Add (0,4)=25 Succeeded, w=52\",\"Find(0)=0, Find(1)=0, Add (0,1)=26 Failed, w=52\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=52\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=101\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=101\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=101\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=101\",\"Find(2)=0, Find(3)=0, Add (2,3)=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],\"edges\":[[0,1,26],[0,2,49],[0,3,25],[0,4,25],[1,2,59],[1,3,39],[1,4,2],[2,3,100],[2,4,69],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(0,3)=25,(0,4)=25,(0,1)=26,(1,3)=39,(0,2)=49,(1,2)=59,(3,4)=62,(2,4)=69,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=25 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=26 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,60],[0,2,38],[0,3,72],[0,4,20],[1,2,19],[1,3,11],[1,4,16],[2,3,78],[2,4,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,38],[0,3,72],[0,4,20],[1,2,19],[1,3,11],[1,4,16],[2,3,78],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,38],[0,3,72],[0,4,20],[1,2,19],[1,3,11],[1,4,16],[2,3,78],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,38],[0,3,72],[0,4,20],[1,2,19],[1,3,11],[1,4,16],[2,3,78],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (1,4)=16, w=27\",\"Add (1,2)=19, w=46\",\"Add (0,4)=20, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,38],[0,3,72],[0,4,20],[1,2,19],[1,3,11],[1,4,16],[2,3,78],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (1,4)=16 Succeeded, w=27\",\"Add (1,2)=19 Succeeded, w=46\",\"Add (0,4)=20 Succeeded, w=66\",\"Add (0,2)=38 Failed, w=66\",\"Add (0,1)=60 Failed, w=66\",\"Add (0,3)=72 Failed, w=66\",\"Add (2,3)=78 Failed, w=66\",\"Add (2,4)=79 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,38],[0,3,72],[0,4,20],[1,2,19],[1,3,11],[1,4,16],[2,3,78],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(1,4)=16,(1,2)=19,(0,4)=20,(0,2)=38,(0,1)=60,(0,3)=72,(2,3)=78,(2,4)=79]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=27\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=46\",\"Find(0)=0, Find(4)=1, Add (0,4)=20 Succeeded, w=66\",\"Find(0)=1, Find(2)=1, Add (0,2)=38 Failed, w=66\",\"Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=66\",\"Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=66\",\"Find(2)=1, Find(3)=1, Add (2,3)=78 Failed, w=66\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,38],[0,3,72],[0,4,20],[1,2,19],[1,3,11],[1,4,16],[2,3,78],[2,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(1,4)=16,(1,2)=19,(0,4)=20,(0,2)=38,(0,1)=60,(0,3)=72,(2,3)=78,(2,4)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=20 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=38 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=72 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=78 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,39],[0,2,62],[0,3,8],[0,4,51],[0,5,47],[1,2,63],[1,3,75],[1,4,71],[1,5,33],[2,4,6],[2,5,33],[3,4,20],[3,5,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,62],[0,3,8],[0,4,51],[0,5,47],[1,2,63],[1,3,75],[1,4,71],[1,5,33],[2,4,6],[2,5,33],[3,4,20],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,62],[0,3,8],[0,4,51],[0,5,47],[1,2,63],[1,3,75],[1,4,71],[1,5,33],[2,4,6],[2,5,33],[3,4,20],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (2,5)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,62],[0,3,8],[0,4,51],[0,5,47],[1,2,63],[1,3,75],[1,4,71],[1,5,33],[2,4,6],[2,5,33],[3,4,20],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (0,3)=8, w=14\",\"Add (3,4)=20, w=34\",\"Add (1,5)=33, w=67\",\"Add (2,5)=33, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,62],[0,3,8],[0,4,51],[0,5,47],[1,2,63],[1,3,75],[1,4,71],[1,5,33],[2,4,6],[2,5,33],[3,4,20],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (0,3)=8 Succeeded, w=14\",\"Add (3,4)=20 Succeeded, w=34\",\"Add (1,5)=33 Succeeded, w=67\",\"Add (2,5)=33 Succeeded, w=100\",\"Add (0,1)=39 Failed, w=100\",\"Add (0,5)=47 Failed, w=100\",\"Add (0,4)=51 Failed, w=100\",\"Add (0,2)=62 Failed, w=100\",\"Add (1,2)=63 Failed, w=100\",\"Add (3,5)=66 Failed, w=100\",\"Add (1,4)=71 Failed, w=100\",\"Add (1,3)=75 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,62],[0,3,8],[0,4,51],[0,5,47],[1,2,63],[1,3,75],[1,4,71],[1,5,33],[2,4,6],[2,5,33],[3,4,20],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,3)=8,(3,4)=20,(1,5)=33,(2,5)=33,(0,1)=39,(0,5)=47,(0,4)=51,(0,2)=62,(1,2)=63,(3,5)=66,(1,4)=71,(1,3)=75]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=14\",\"Find(3)=0, Find(4)=2, Add (3,4)=20 Succeeded, w=34\",\"Find(1)=1, Find(5)=5, Add (1,5)=33 Succeeded, w=67\",\"Find(2)=0, Find(5)=1, Add (2,5)=33 Succeeded, w=100\",\"Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=100\",\"Find(0)=0, Find(5)=0, Add (0,5)=47 Failed, w=100\",\"Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=100\",\"Find(0)=0, Find(2)=0, Add (0,2)=62 Failed, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=100\",\"Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=100\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=100\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,39],[0,2,62],[0,3,8],[0,4,51],[0,5,47],[1,2,63],[1,3,75],[1,4,71],[1,5,33],[2,4,6],[2,5,33],[3,4,20],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,3)=8,(3,4)=20,(1,5)=33,(2,5)=33,(0,1)=39,(0,5)=47,(0,4)=51,(0,2)=62,(1,2)=63,(3,5)=66,(1,4)=71,(1,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 5}, Find(3)=0, Find(4)=2, Add (3,4)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=33 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 1}, Find(2)=0, Find(5)=1, Add (2,5)=33 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=47 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=62 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,75],[0,4,3],[1,2,28],[1,4,37],[1,5,57],[2,3,82],[2,5,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,4,3],[1,2,28],[1,4,37],[1,5,57],[2,3,82],[2,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,4,3],[1,2,28],[1,4,37],[1,5,57],[2,3,82],[2,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,4,3],[1,2,28],[1,4,37],[1,5,57],[2,3,82],[2,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,2)=28, w=31\",\"Add (1,4)=37, w=68\",\"Add (1,5)=57, w=125\",\"Add (2,3)=82, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,4,3],[1,2,28],[1,4,37],[1,5,57],[2,3,82],[2,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,2)=28 Succeeded, w=31\",\"Add (1,4)=37 Succeeded, w=68\",\"Add (1,5)=57 Succeeded, w=125\",\"Add (0,2)=75 Failed, w=125\",\"Add (2,5)=79 Failed, w=125\",\"Add (2,3)=82 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,4,3],[1,2,28],[1,4,37],[1,5,57],[2,3,82],[2,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,2)=28,(1,4)=37,(1,5)=57,(0,2)=75,(2,5)=79,(2,3)=82]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=31\",\"Find(1)=1, Find(4)=0, Add (1,4)=37 Succeeded, w=68\",\"Find(1)=1, Find(5)=5, Add (1,5)=57 Succeeded, w=125\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=125\",\"Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=125\",\"Find(2)=1, Find(3)=3, Add (2,3)=82 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,4,3],[1,2,28],[1,4,37],[1,5,57],[2,3,82],[2,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,2)=28,(1,4)=37,(1,5)=57,(0,2)=75,(2,5)=79,(2,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=37 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=57 Succeeded, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=79 Failed, w=125\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(2)=1, Find(3)=3, Add (2,3)=82 Succeeded, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,22],[0,2,2],[0,3,48],[0,5,92],[0,6,98],[1,2,98],[1,3,25],[1,4,70],[1,5,65],[2,4,26],[2,5,14],[2,6,31],[3,4,17],[3,5,55],[3,6,91],[4,5,92],[4,6,71],[5,6,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,2],[0,3,48],[0,5,92],[0,6,98],[1,2,98],[1,3,25],[1,4,70],[1,5,65],[2,4,26],[2,5,14],[2,6,31],[3,4,17],[3,5,55],[3,6,91],[4,5,92],[4,6,71],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,2],[0,3,48],[0,5,92],[0,6,98],[1,2,98],[1,3,25],[1,4,70],[1,5,65],[2,4,26],[2,5,14],[2,6,31],[3,4,17],[3,5,55],[3,6,91],[4,5,92],[4,6,71],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,2],[0,3,48],[0,5,92],[0,6,98],[1,2,98],[1,3,25],[1,4,70],[1,5,65],[2,4,26],[2,5,14],[2,6,31],[3,4,17],[3,5,55],[3,6,91],[4,5,92],[4,6,71],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (5,6)=5, w=7\",\"Add (2,5)=14, w=21\",\"Add (3,4)=17, w=38\",\"Add (0,1)=22, w=60\",\"Add (1,3)=25, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,2],[0,3,48],[0,5,92],[0,6,98],[1,2,98],[1,3,25],[1,4,70],[1,5,65],[2,4,26],[2,5,14],[2,6,31],[3,4,17],[3,5,55],[3,6,91],[4,5,92],[4,6,71],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (5,6)=5 Succeeded, w=7\",\"Add (2,5)=14 Succeeded, w=21\",\"Add (3,4)=17 Succeeded, w=38\",\"Add (0,1)=22 Succeeded, w=60\",\"Add (1,3)=25 Succeeded, w=85\",\"Add (2,4)=26 Failed, w=85\",\"Add (2,6)=31 Failed, w=85\",\"Add (0,3)=48 Failed, w=85\",\"Add (3,5)=55 Failed, w=85\",\"Add (1,5)=65 Failed, w=85\",\"Add (1,4)=70 Failed, w=85\",\"Add (4,6)=71 Failed, w=85\",\"Add (3,6)=91 Failed, w=85\",\"Add (0,5)=92 Failed, w=85\",\"Add (4,5)=92 Failed, w=85\",\"Add (0,6)=98 Failed, w=85\",\"Add (1,2)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,2],[0,3,48],[0,5,92],[0,6,98],[1,2,98],[1,3,25],[1,4,70],[1,5,65],[2,4,26],[2,5,14],[2,6,31],[3,4,17],[3,5,55],[3,6,91],[4,5,92],[4,6,71],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(5,6)=5,(2,5)=14,(3,4)=17,(0,1)=22,(1,3)=25,(2,4)=26,(2,6)=31,(0,3)=48,(3,5)=55,(1,5)=65,(1,4)=70,(4,6)=71,(3,6)=91,(0,5)=92,(4,5)=92,(0,6)=98,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=7\",\"Find(2)=0, Find(5)=5, Add (2,5)=14 Succeeded, w=21\",\"Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=38\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=60\",\"Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=26 Failed, w=85\",\"Find(2)=0, Find(6)=0, Add (2,6)=31 Failed, w=85\",\"Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=85\",\"Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=85\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=85\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=85\",\"Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=85\",\"Find(0)=0, Find(5)=0, Add (0,5)=92 Failed, w=85\",\"Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=85\",\"Find(0)=0, Find(6)=0, Add (0,6)=98 Failed, w=85\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,22],[0,2,2],[0,3,48],[0,5,92],[0,6,98],[1,2,98],[1,3,25],[1,4,70],[1,5,65],[2,4,26],[2,5,14],[2,6,31],[3,4,17],[3,5,55],[3,6,91],[4,5,92],[4,6,71],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(5,6)=5,(2,5)=14,(3,4)=17,(0,1)=22,(1,3)=25,(2,4)=26,(2,6)=31,(0,3)=48,(3,5)=55,(1,5)=65,(1,4)=70,(4,6)=71,(3,6)=91,(0,5)=92,(4,5)=92,(0,6)=98,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 5}, Find(2)=0, Find(5)=5, Add (2,5)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 5}, Find(3)=3, Find(4)=4, Add (3,4)=17 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 5}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 5}, Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(2)=0, Find(4)=0, Add (2,4)=26 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=31 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=92 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=98 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,82],[0,2,81],[0,3,78],[0,4,62],[1,2,45],[1,4,94],[2,3,16],[2,4,78],[3,5,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,81],[0,3,78],[0,4,62],[1,2,45],[1,4,94],[2,3,16],[2,4,78],[3,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,81],[0,3,78],[0,4,62],[1,2,45],[1,4,94],[2,3,16],[2,4,78],[3,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (0,3)\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,81],[0,3,78],[0,4,62],[1,2,45],[1,4,94],[2,3,16],[2,4,78],[3,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (1,2)=45, w=61\",\"Add (0,4)=62, w=123\",\"Add (3,5)=76, w=199\",\"Add (0,3)=78, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,81],[0,3,78],[0,4,62],[1,2,45],[1,4,94],[2,3,16],[2,4,78],[3,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (1,2)=45 Succeeded, w=61\",\"Add (0,4)=62 Succeeded, w=123\",\"Add (3,5)=76 Succeeded, w=199\",\"Add (0,3)=78 Succeeded, w=277\",\"Add (2,4)=78 Failed, w=277\",\"Add (0,2)=81 Failed, w=277\",\"Add (0,1)=82 Failed, w=277\",\"Add (1,4)=94 Failed, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,81],[0,3,78],[0,4,62],[1,2,45],[1,4,94],[2,3,16],[2,4,78],[3,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(1,2)=45,(0,4)=62,(3,5)=76,(0,3)=78,(2,4)=78,(0,2)=81,(0,1)=82,(1,4)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=61\",\"Find(0)=0, Find(4)=4, Add (0,4)=62 Succeeded, w=123\",\"Find(3)=2, Find(5)=5, Add (3,5)=76 Succeeded, w=199\",\"Find(0)=0, Find(3)=2, Add (0,3)=78 Succeeded, w=277\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=277\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=277\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=277\",\"Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,81],[0,3,78],[0,4,62],[1,2,45],[1,4,94],[2,3,16],[2,4,78],[3,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(1,2)=45,(0,4)=62,(3,5)=76,(0,3)=78,(2,4)=78,(0,2)=81,(0,1)=82,(1,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=62 Succeeded, w=123\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=76 Succeeded, w=199\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=78 Succeeded, w=277\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 2}, Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=277\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=277\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=277\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 2}, Find(1)=0, Find(4)=0, Add (1,4)=94 Failed, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,82],[1,2,29],[2,3,61],[2,4,47],[3,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[1,2,29],[2,3,61],[2,4,47],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[1,2,29],[2,3,61],[2,4,47],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[1,2,29],[2,3,61],[2,4,47],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (1,2)=29, w=32\",\"Add (2,4)=47, w=79\",\"Add (0,2)=82, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[1,2,29],[2,3,61],[2,4,47],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (1,2)=29 Succeeded, w=32\",\"Add (2,4)=47 Succeeded, w=79\",\"Add (2,3)=61 Failed, w=79\",\"Add (0,2)=82 Succeeded, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[1,2,29],[2,3,61],[2,4,47],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(1,2)=29,(2,4)=47,(2,3)=61,(0,2)=82]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=32\",\"Find(2)=1, Find(4)=3, Add (2,4)=47 Succeeded, w=79\",\"Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=79\",\"Find(0)=0, Find(2)=1, Add (0,2)=82 Succeeded, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[1,2,29],[2,3,61],[2,4,47],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(1,2)=29,(2,4)=47,(2,3)=61,(0,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5}, Find(2)=1, Find(4)=3, Add (2,4)=47 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=82 Succeeded, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,79],[2,3,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,79],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,79],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,79],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (0,3)=79, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,79],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (0,3)=79 Succeeded, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,79],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,3)=79]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=2, Add (0,3)=79 Succeeded, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,79],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=79 Succeeded, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,14],[1,2,40],[1,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,14],[1,2,40],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,14],[1,2,40],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,14],[1,2,40],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (1,2)=40, w=54\",\"Add (1,3)=74, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,14],[1,2,40],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (1,2)=40 Succeeded, w=54\",\"Add (1,3)=74 Succeeded, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,14],[1,2,40],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(1,2)=40,(1,3)=74]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=54\",\"Find(1)=1, Find(3)=0, Add (1,3)=74 Succeeded, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,14],[1,2,40],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(1,2)=40,(1,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=74 Succeeded, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,18],[0,2,8],[0,3,20],[1,2,99],[1,3,51],[2,3,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,8],[0,3,20],[1,2,99],[1,3,51],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,8],[0,3,20],[1,2,99],[1,3,51],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,8],[0,3,20],[1,2,99],[1,3,51],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (2,3)=17, w=25\",\"Add (0,1)=18, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,8],[0,3,20],[1,2,99],[1,3,51],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (2,3)=17 Succeeded, w=25\",\"Add (0,1)=18 Succeeded, w=43\",\"Add (0,3)=20 Failed, w=43\",\"Add (1,3)=51 Failed, w=43\",\"Add (1,2)=99 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,8],[0,3,20],[1,2,99],[1,3,51],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(2,3)=17,(0,1)=18,(0,3)=20,(1,3)=51,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(2)=0, Find(3)=3, Add (2,3)=17 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=43\",\"Find(0)=0, Find(3)=0, Add (0,3)=20 Failed, w=43\",\"Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=43\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,8],[0,3,20],[1,2,99],[1,3,51],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(2,3)=17,(0,1)=18,(0,3)=20,(1,3)=51,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=20 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,61],[0,2,34],[0,3,19],[0,4,23],[1,2,44],[1,3,34],[1,4,65],[2,3,55],[2,4,72],[3,4,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,34],[0,3,19],[0,4,23],[1,2,44],[1,3,34],[1,4,65],[2,3,55],[2,4,72],[3,4,55]]}",
"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\":[[0,1,61],[0,2,34],[0,3,19],[0,4,23],[1,2,44],[1,3,34],[1,4,65],[2,3,55],[2,4,72],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (0,2)\",\"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\":[[0,1,61],[0,2,34],[0,3,19],[0,4,23],[1,2,44],[1,3,34],[1,4,65],[2,3,55],[2,4,72],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19, w=19\",\"Add (0,4)=23, w=42\",\"Add (0,2)=34, 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\":[[0,1,61],[0,2,34],[0,3,19],[0,4,23],[1,2,44],[1,3,34],[1,4,65],[2,3,55],[2,4,72],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=19 Succeeded, w=19\",\"Add (0,4)=23 Succeeded, w=42\",\"Add (0,2)=34 Succeeded, w=76\",\"Add (1,3)=34 Succeeded, w=110\",\"Add (1,2)=44 Failed, w=110\",\"Add (2,3)=55 Failed, w=110\",\"Add (3,4)=55 Failed, w=110\",\"Add (0,1)=61 Failed, w=110\",\"Add (1,4)=65 Failed, w=110\",\"Add (2,4)=72 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\":[[0,1,61],[0,2,34],[0,3,19],[0,4,23],[1,2,44],[1,3,34],[1,4,65],[2,3,55],[2,4,72],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(0,4)=23,(0,2)=34,(1,3)=34,(1,2)=44,(2,3)=55,(3,4)=55,(0,1)=61,(1,4)=65,(2,4)=72]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=42\",\"Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=76\",\"Find(1)=1, Find(3)=0, Add (1,3)=34 Succeeded, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=110\",\"Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=110\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 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\":[[0,1,61],[0,2,34],[0,3,19],[0,4,23],[1,2,44],[1,3,34],[1,4,65],[2,3,55],[2,4,72],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=19,(0,4)=23,(0,2)=34,(1,3)=34,(1,2)=44,(2,3)=55,(3,4)=55,(0,1)=61,(1,4)=65,(2,4)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=34 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(1)=0, Find(2)=0, Add (1,2)=44 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=65 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,80],[0,4,92],[1,2,80],[1,3,16],[2,4,14],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,80],[0,4,92],[1,2,80],[1,3,16],[2,4,14],[3,4,81]]}",
"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\":[[0,3,80],[0,4,92],[1,2,80],[1,3,16],[2,4,14],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,80],[0,4,92],[1,2,80],[1,3,16],[2,4,14],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14, w=14\",\"Add (1,3)=16, w=30\",\"Add (0,3)=80, w=110\",\"Add (1,2)=80, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,80],[0,4,92],[1,2,80],[1,3,16],[2,4,14],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14 Succeeded, w=14\",\"Add (1,3)=16 Succeeded, w=30\",\"Add (0,3)=80 Succeeded, w=110\",\"Add (1,2)=80 Succeeded, w=190\",\"Add (3,4)=81 Failed, w=190\",\"Add (0,4)=92 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\":[[0,3,80],[0,4,92],[1,2,80],[1,3,16],[2,4,14],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(1,3)=16,(0,3)=80,(1,2)=80,(3,4)=81,(0,4)=92]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=30\",\"Find(0)=0, Find(3)=1, Add (0,3)=80 Succeeded, w=110\",\"Find(1)=1, Find(2)=2, Add (1,2)=80 Succeeded, w=190\",\"Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=190\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 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\":[[0,3,80],[0,4,92],[1,2,80],[1,3,16],[2,4,14],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(1,3)=16,(0,3)=80,(1,2)=80,(3,4)=81,(0,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(3)=1, Add (0,3)=80 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=80 Succeeded, w=190\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=190\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,74],[0,4,51],[1,3,30],[1,4,66],[1,6,16],[2,4,45],[2,5,35],[3,4,44],[3,5,91],[3,6,94],[4,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,4,51],[1,3,30],[1,4,66],[1,6,16],[2,4,45],[2,5,35],[3,4,44],[3,5,91],[3,6,94],[4,5,56]]}",
"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\":[[0,2,74],[0,4,51],[1,3,30],[1,4,66],[1,6,16],[2,4,45],[2,5,35],[3,4,44],[3,5,91],[3,6,94],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,4,51],[1,3,30],[1,4,66],[1,6,16],[2,4,45],[2,5,35],[3,4,44],[3,5,91],[3,6,94],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=16, w=16\",\"Add (1,3)=30, w=46\",\"Add (2,5)=35, w=81\",\"Add (3,4)=44, w=125\",\"Add (2,4)=45, w=170\",\"Add (0,4)=51, 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\":[[0,2,74],[0,4,51],[1,3,30],[1,4,66],[1,6,16],[2,4,45],[2,5,35],[3,4,44],[3,5,91],[3,6,94],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=16 Succeeded, w=16\",\"Add (1,3)=30 Succeeded, w=46\",\"Add (2,5)=35 Succeeded, w=81\",\"Add (3,4)=44 Succeeded, w=125\",\"Add (2,4)=45 Succeeded, w=170\",\"Add (0,4)=51 Succeeded, w=221\",\"Add (4,5)=56 Failed, w=221\",\"Add (1,4)=66 Failed, w=221\",\"Add (0,2)=74 Failed, w=221\",\"Add (3,5)=91 Failed, w=221\",\"Add (3,6)=94 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\":[[0,2,74],[0,4,51],[1,3,30],[1,4,66],[1,6,16],[2,4,45],[2,5,35],[3,4,44],[3,5,91],[3,6,94],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=16,(1,3)=30,(2,5)=35,(3,4)=44,(2,4)=45,(0,4)=51,(4,5)=56,(1,4)=66,(0,2)=74,(3,5)=91,(3,6)=94]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=16\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=46\",\"Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=81\",\"Find(3)=1, Find(4)=4, Add (3,4)=44 Succeeded, w=125\",\"Find(2)=2, Find(4)=1, Add (2,4)=45 Succeeded, w=170\",\"Find(0)=0, Find(4)=2, Add (0,4)=51 Succeeded, w=221\",\"Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=221\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=221\",\"Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=221\",\"Find(3)=2, Find(5)=2, Add (3,5)=91 Failed, w=221\",\"Find(3)=2, Find(6)=2, Add (3,6)=94 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\":[[0,2,74],[0,4,51],[1,3,30],[1,4,66],[1,6,16],[2,4,45],[2,5,35],[3,4,44],[3,5,91],[3,6,94],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=16,(1,3)=30,(2,5)=35,(3,4)=44,(2,4)=45,(0,4)=51,(4,5)=56,(1,4)=66,(0,2)=74,(3,5)=91,(3,6)=94]\",\"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)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 1}, Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(3)=1, Find(4)=4, Add (3,4)=44 Succeeded, w=125\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(2)=2, Find(4)=1, Add (2,4)=45 Succeeded, w=170\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 1}, Find(0)=0, Find(4)=2, Add (0,4)=51 Succeeded, w=221\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 1}, Find(4)=2, Find(5)=2, Add (4,5)=56 Failed, w=221\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 1}, Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=221\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 1}, Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=221\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1}, Find(3)=2, Find(5)=2, Add (3,5)=91 Failed, w=221\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=94 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,3,46],[0,4,53],[0,6,28],[0,7,81],[1,3,88],[1,5,12],[1,6,74],[1,7,83],[2,3,67],[2,6,27],[3,4,67],[4,5,97],[4,6,95],[4,7,62],[5,7,58],[6,7,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,46],[0,4,53],[0,6,28],[0,7,81],[1,3,88],[1,5,12],[1,6,74],[1,7,83],[2,3,67],[2,6,27],[3,4,67],[4,5,97],[4,6,95],[4,7,62],[5,7,58],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,46],[0,4,53],[0,6,28],[0,7,81],[1,3,88],[1,5,12],[1,6,74],[1,7,83],[2,3,67],[2,6,27],[3,4,67],[4,5,97],[4,6,95],[4,7,62],[5,7,58],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (6,7)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (5,7)\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,46],[0,4,53],[0,6,28],[0,7,81],[1,3,88],[1,5,12],[1,6,74],[1,7,83],[2,3,67],[2,6,27],[3,4,67],[4,5,97],[4,6,95],[4,7,62],[5,7,58],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12, w=12\",\"Add (6,7)=19, w=31\",\"Add (2,6)=27, w=58\",\"Add (0,6)=28, w=86\",\"Add (0,3)=46, w=132\",\"Add (0,4)=53, w=185\",\"Add (5,7)=58, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,46],[0,4,53],[0,6,28],[0,7,81],[1,3,88],[1,5,12],[1,6,74],[1,7,83],[2,3,67],[2,6,27],[3,4,67],[4,5,97],[4,6,95],[4,7,62],[5,7,58],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12 Succeeded, w=12\",\"Add (6,7)=19 Succeeded, w=31\",\"Add (2,6)=27 Succeeded, w=58\",\"Add (0,6)=28 Succeeded, w=86\",\"Add (0,3)=46 Succeeded, w=132\",\"Add (0,4)=53 Succeeded, w=185\",\"Add (5,7)=58 Succeeded, w=243\",\"Add (0,1)=60 Failed, w=243\",\"Add (4,7)=62 Failed, w=243\",\"Add (2,3)=67 Failed, w=243\",\"Add (3,4)=67 Failed, w=243\",\"Add (1,6)=74 Failed, w=243\",\"Add (0,7)=81 Failed, w=243\",\"Add (1,7)=83 Failed, w=243\",\"Add (1,3)=88 Failed, w=243\",\"Add (4,6)=95 Failed, w=243\",\"Add (4,5)=97 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,46],[0,4,53],[0,6,28],[0,7,81],[1,3,88],[1,5,12],[1,6,74],[1,7,83],[2,3,67],[2,6,27],[3,4,67],[4,5,97],[4,6,95],[4,7,62],[5,7,58],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(6,7)=19,(2,6)=27,(0,6)=28,(0,3)=46,(0,4)=53,(5,7)=58,(0,1)=60,(4,7)=62,(2,3)=67,(3,4)=67,(1,6)=74,(0,7)=81,(1,7)=83,(1,3)=88,(4,6)=95,(4,5)=97]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=12\",\"Find(6)=6, Find(7)=7, Add (6,7)=19 Succeeded, w=31\",\"Find(2)=2, Find(6)=6, Add (2,6)=27 Succeeded, w=58\",\"Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=86\",\"Find(0)=6, Find(3)=3, Add (0,3)=46 Succeeded, w=132\",\"Find(0)=6, Find(4)=4, Add (0,4)=53 Succeeded, w=185\",\"Find(5)=1, Find(7)=6, Add (5,7)=58 Succeeded, w=243\",\"Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=243\",\"Find(4)=1, Find(7)=1, Add (4,7)=62 Failed, w=243\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=243\",\"Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=243\",\"Find(1)=1, Find(6)=1, Add (1,6)=74 Failed, w=243\",\"Find(0)=1, Find(7)=1, Add (0,7)=81 Failed, w=243\",\"Find(1)=1, Find(7)=1, Add (1,7)=83 Failed, w=243\",\"Find(1)=1, Find(3)=1, Add (1,3)=88 Failed, w=243\",\"Find(4)=1, Find(6)=1, Add (4,6)=95 Failed, w=243\",\"Find(4)=1, Find(5)=1, Add (4,5)=97 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,3,46],[0,4,53],[0,6,28],[0,7,81],[1,3,88],[1,5,12],[1,6,74],[1,7,83],[2,3,67],[2,6,27],[3,4,67],[4,5,97],[4,6,95],[4,7,62],[5,7,58],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(6,7)=19,(2,6)=27,(0,6)=28,(0,3)=46,(0,4)=53,(5,7)=58,(0,1)=60,(4,7)=62,(2,3)=67,(3,4)=67,(1,6)=74,(0,7)=81,(1,7)=83,(1,3)=88,(4,6)=95,(4,5)=97]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=19 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 3, 4: 4, 5: 1, 6: 6, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=27 Succeeded, w=58\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 3, 4: 4, 5: 1, 6: 6, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=86\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 6, 4: 4, 5: 1, 6: 6, 7: 6}, Find(0)=6, Find(3)=3, Add (0,3)=46 Succeeded, w=132\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 6, 4: 6, 5: 1, 6: 6, 7: 6}, Find(0)=6, Find(4)=4, Add (0,4)=53 Succeeded, w=185\",\"Parent: {0: 6, 1: 1, 2: 6, 3: 6, 4: 6, 5: 1, 6: 1, 7: 6}, Find(5)=1, Find(7)=6, Add (5,7)=58 Succeeded, w=243\",\"Parent: {0: 1, 1: 1, 2: 6, 3: 6, 4: 6, 5: 1, 6: 1, 7: 6}, Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=243\",\"Parent: {0: 1, 1: 1, 2: 6, 3: 6, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=62 Failed, w=243\",\"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)=67 Failed, w=243\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=243\",\"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)=74 Failed, w=243\",\"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)=81 Failed, w=243\",\"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)=83 Failed, w=243\",\"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)=88 Failed, w=243\",\"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)=95 Failed, w=243\",\"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)=97 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,45],[0,2,54],[0,3,4],[1,2,9],[1,3,43],[2,3,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,54],[0,3,4],[1,2,9],[1,3,43],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,54],[0,3,4],[1,2,9],[1,3,43],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,54],[0,3,4],[1,2,9],[1,3,43],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (1,2)=9, w=13\",\"Add (2,3)=26, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,54],[0,3,4],[1,2,9],[1,3,43],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (1,2)=9 Succeeded, w=13\",\"Add (2,3)=26 Succeeded, w=39\",\"Add (1,3)=43 Failed, w=39\",\"Add (0,1)=45 Failed, w=39\",\"Add (0,2)=54 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,54],[0,3,4],[1,2,9],[1,3,43],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,2)=9,(2,3)=26,(1,3)=43,(0,1)=45,(0,2)=54]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=13\",\"Find(2)=1, Find(3)=0, Add (2,3)=26 Succeeded, w=39\",\"Find(1)=1, Find(3)=1, Add (1,3)=43 Failed, w=39\",\"Find(0)=1, Find(1)=1, Add (0,1)=45 Failed, w=39\",\"Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,54],[0,3,4],[1,2,9],[1,3,43],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,2)=9,(2,3)=26,(1,3)=43,(0,1)=45,(0,2)=54]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=26 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=43 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=45 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,5,93],[1,3,2],[1,4,11],[1,6,48],[2,4,44],[3,4,43],[3,5,92],[4,5,22],[5,6,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,93],[1,3,2],[1,4,11],[1,6,48],[2,4,44],[3,4,43],[3,5,92],[4,5,22],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,93],[1,3,2],[1,4,11],[1,6,48],[2,4,44],[3,4,43],[3,5,92],[4,5,22],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (5,6)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,93],[1,3,2],[1,4,11],[1,6,48],[2,4,44],[3,4,43],[3,5,92],[4,5,22],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (5,6)=7, w=9\",\"Add (1,4)=11, w=20\",\"Add (4,5)=22, w=42\",\"Add (2,4)=44, w=86\",\"Add (0,5)=93, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,93],[1,3,2],[1,4,11],[1,6,48],[2,4,44],[3,4,43],[3,5,92],[4,5,22],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (5,6)=7 Succeeded, w=9\",\"Add (1,4)=11 Succeeded, w=20\",\"Add (4,5)=22 Succeeded, w=42\",\"Add (3,4)=43 Failed, w=42\",\"Add (2,4)=44 Succeeded, w=86\",\"Add (1,6)=48 Failed, w=86\",\"Add (3,5)=92 Failed, w=86\",\"Add (0,5)=93 Succeeded, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,93],[1,3,2],[1,4,11],[1,6,48],[2,4,44],[3,4,43],[3,5,92],[4,5,22],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(5,6)=7,(1,4)=11,(4,5)=22,(3,4)=43,(2,4)=44,(1,6)=48,(3,5)=92,(0,5)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=9\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=20\",\"Find(4)=1, Find(5)=5, Add (4,5)=22 Succeeded, w=42\",\"Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=42\",\"Find(2)=2, Find(4)=1, Add (2,4)=44 Succeeded, w=86\",\"Find(1)=1, Find(6)=1, Add (1,6)=48 Failed, w=86\",\"Find(3)=1, Find(5)=1, Add (3,5)=92 Failed, w=86\",\"Find(0)=0, Find(5)=1, Add (0,5)=93 Succeeded, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,5,93],[1,3,2],[1,4,11],[1,6,48],[2,4,44],[3,4,43],[3,5,92],[4,5,22],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(5,6)=7,(1,4)=11,(4,5)=22,(3,4)=43,(2,4)=44,(1,6)=48,(3,5)=92,(0,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 5}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 5}, Find(4)=1, Find(5)=5, Add (4,5)=22 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 5}, Find(3)=1, Find(4)=1, Add (3,4)=43 Failed, w=42\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=2, Find(4)=1, Add (2,4)=44 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=48 Failed, w=86\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=92 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(5)=1, Add (0,5)=93 Succeeded, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,3,68],[2,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,68],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,68],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,68],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=51, w=51\",\"Add (1,3)=68, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,68],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=51 Succeeded, w=51\",\"Add (1,3)=68 Succeeded, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,68],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=51,(1,3)=68]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=51\",\"Find(1)=1, Find(3)=2, Add (1,3)=68 Succeeded, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,68],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=51,(1,3)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=68 Succeeded, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,88],[0,3,28],[0,4,59],[0,7,72],[1,2,80],[1,3,81],[1,4,52],[1,6,29],[1,7,91],[2,3,51],[2,5,95],[2,6,46],[2,7,45],[3,4,45],[3,5,45],[3,7,43],[4,5,42],[4,6,11],[4,7,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,3,28],[0,4,59],[0,7,72],[1,2,80],[1,3,81],[1,4,52],[1,6,29],[1,7,91],[2,3,51],[2,5,95],[2,6,46],[2,7,45],[3,4,45],[3,5,45],[3,7,43],[4,5,42],[4,6,11],[4,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,3,28],[0,4,59],[0,7,72],[1,2,80],[1,3,81],[1,4,52],[1,6,29],[1,7,91],[2,3,51],[2,5,95],[2,6,46],[2,7,45],[3,4,45],[3,5,45],[3,7,43],[4,5,42],[4,6,11],[4,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,3)\",\"Add (1,6)\",\"Add (4,5)\",\"Add (3,7)\",\"Add (2,7)\",\"Add (3,4)\"],\"Answer\":243}",
"role": "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],[0,3,28],[0,4,59],[0,7,72],[1,2,80],[1,3,81],[1,4,52],[1,6,29],[1,7,91],[2,3,51],[2,5,95],[2,6,46],[2,7,45],[3,4,45],[3,5,45],[3,7,43],[4,5,42],[4,6,11],[4,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=11, w=11\",\"Add (0,3)=28, w=39\",\"Add (1,6)=29, w=68\",\"Add (4,5)=42, w=110\",\"Add (3,7)=43, w=153\",\"Add (2,7)=45, w=198\",\"Add (3,4)=45, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,3,28],[0,4,59],[0,7,72],[1,2,80],[1,3,81],[1,4,52],[1,6,29],[1,7,91],[2,3,51],[2,5,95],[2,6,46],[2,7,45],[3,4,45],[3,5,45],[3,7,43],[4,5,42],[4,6,11],[4,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=11 Succeeded, w=11\",\"Add (0,3)=28 Succeeded, w=39\",\"Add (1,6)=29 Succeeded, w=68\",\"Add (4,5)=42 Succeeded, w=110\",\"Add (3,7)=43 Succeeded, w=153\",\"Add (2,7)=45 Succeeded, w=198\",\"Add (3,4)=45 Succeeded, w=243\",\"Add (3,5)=45 Failed, w=243\",\"Add (2,6)=46 Failed, w=243\",\"Add (2,3)=51 Failed, w=243\",\"Add (1,4)=52 Failed, w=243\",\"Add (0,4)=59 Failed, w=243\",\"Add (0,7)=72 Failed, w=243\",\"Add (1,2)=80 Failed, w=243\",\"Add (1,3)=81 Failed, w=243\",\"Add (0,1)=88 Failed, w=243\",\"Add (4,7)=89 Failed, w=243\",\"Add (1,7)=91 Failed, w=243\",\"Add (2,5)=95 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,3,28],[0,4,59],[0,7,72],[1,2,80],[1,3,81],[1,4,52],[1,6,29],[1,7,91],[2,3,51],[2,5,95],[2,6,46],[2,7,45],[3,4,45],[3,5,45],[3,7,43],[4,5,42],[4,6,11],[4,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=11,(0,3)=28,(1,6)=29,(4,5)=42,(3,7)=43,(2,7)=45,(3,4)=45,(3,5)=45,(2,6)=46,(2,3)=51,(1,4)=52,(0,4)=59,(0,7)=72,(1,2)=80,(1,3)=81,(0,1)=88,(4,7)=89,(1,7)=91,(2,5)=95]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=39\",\"Find(1)=1, Find(6)=4, Add (1,6)=29 Succeeded, w=68\",\"Find(4)=4, Find(5)=5, Add (4,5)=42 Succeeded, w=110\",\"Find(3)=0, Find(7)=7, Add (3,7)=43 Succeeded, w=153\",\"Find(2)=2, Find(7)=0, Add (2,7)=45 Succeeded, w=198\",\"Find(3)=0, Find(4)=4, Add (3,4)=45 Succeeded, w=243\",\"Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=243\",\"Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=243\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=243\",\"Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=243\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=243\",\"Find(0)=0, Find(7)=0, Add (0,7)=72 Failed, w=243\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=243\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=243\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=243\",\"Find(4)=0, Find(7)=0, Add (4,7)=89 Failed, w=243\",\"Find(1)=0, Find(7)=0, Add (1,7)=91 Failed, w=243\",\"Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,3,28],[0,4,59],[0,7,72],[1,2,80],[1,3,81],[1,4,52],[1,6,29],[1,7,91],[2,3,51],[2,5,95],[2,6,46],[2,7,45],[3,4,45],[3,5,45],[3,7,43],[4,5,42],[4,6,11],[4,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=11,(0,3)=28,(1,6)=29,(4,5)=42,(3,7)=43,(2,7)=45,(3,4)=45,(3,5)=45,(2,6)=46,(2,3)=51,(1,4)=52,(0,4)=59,(0,7)=72,(1,2)=80,(1,3)=81,(0,1)=88,(4,7)=89,(1,7)=91,(2,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=39\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(6)=4, Add (1,6)=29 Succeeded, w=68\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=42 Succeeded, w=110\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=43 Succeeded, w=153\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=45 Succeeded, w=198\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 4, 6: 4, 7: 0}, Find(3)=0, Find(4)=4, Add (3,4)=45 Succeeded, w=243\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=243\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=243\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=52 Failed, w=243\",\"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)=59 Failed, w=243\",\"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)=72 Failed, w=243\",\"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=243\",\"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)=81 Failed, w=243\",\"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)=88 Failed, w=243\",\"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)=89 Failed, w=243\",\"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)=91 Failed, w=243\",\"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)=95 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,88],[0,2,47],[0,3,93],[0,4,54],[1,2,53],[1,3,40],[1,4,62],[2,3,40],[2,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,47],[0,3,93],[0,4,54],[1,2,53],[1,3,40],[1,4,62],[2,3,40],[2,4,54]]}",
"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\":[[0,1,88],[0,2,47],[0,3,93],[0,4,54],[1,2,53],[1,3,40],[1,4,62],[2,3,40],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,47],[0,3,93],[0,4,54],[1,2,53],[1,3,40],[1,4,62],[2,3,40],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=40, w=40\",\"Add (2,3)=40, w=80\",\"Add (0,2)=47, w=127\",\"Add (0,4)=54, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,47],[0,3,93],[0,4,54],[1,2,53],[1,3,40],[1,4,62],[2,3,40],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=40 Succeeded, w=40\",\"Add (2,3)=40 Succeeded, w=80\",\"Add (0,2)=47 Succeeded, w=127\",\"Add (1,2)=53 Failed, w=127\",\"Add (0,4)=54 Succeeded, w=181\",\"Add (2,4)=54 Failed, w=181\",\"Add (1,4)=62 Failed, w=181\",\"Add (0,1)=88 Failed, w=181\",\"Add (0,3)=93 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\":[[0,1,88],[0,2,47],[0,3,93],[0,4,54],[1,2,53],[1,3,40],[1,4,62],[2,3,40],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=40,(2,3)=40,(0,2)=47,(1,2)=53,(0,4)=54,(2,4)=54,(1,4)=62,(0,1)=88,(0,3)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=40\",\"Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=80\",\"Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=127\",\"Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=127\",\"Find(0)=1, Find(4)=4, Add (0,4)=54 Succeeded, w=181\",\"Find(2)=1, Find(4)=1, Add (2,4)=54 Failed, w=181\",\"Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=181\",\"Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=181\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 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\":[[0,1,88],[0,2,47],[0,3,93],[0,4,54],[1,2,53],[1,3,40],[1,4,62],[2,3,40],[2,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=40,(2,3)=40,(0,2)=47,(1,2)=53,(0,4)=54,(2,4)=54,(1,4)=62,(0,1)=88,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=47 Succeeded, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=54 Succeeded, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=54 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=88 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,98],[0,4,80],[0,5,89],[0,6,30],[1,2,29],[1,4,94],[2,4,29],[2,5,84],[3,4,95],[3,5,94],[4,6,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,4,80],[0,5,89],[0,6,30],[1,2,29],[1,4,94],[2,4,29],[2,5,84],[3,4,95],[3,5,94],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,4,80],[0,5,89],[0,6,30],[1,2,29],[1,4,94],[2,4,29],[2,5,84],[3,4,95],[3,5,94],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (3,5)\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,4,80],[0,5,89],[0,6,30],[1,2,29],[1,4,94],[2,4,29],[2,5,84],[3,4,95],[3,5,94],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1, w=1\",\"Add (1,2)=29, w=30\",\"Add (2,4)=29, w=59\",\"Add (0,6)=30, w=89\",\"Add (2,5)=84, w=173\",\"Add (3,5)=94, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,4,80],[0,5,89],[0,6,30],[1,2,29],[1,4,94],[2,4,29],[2,5,84],[3,4,95],[3,5,94],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1 Succeeded, w=1\",\"Add (1,2)=29 Succeeded, w=30\",\"Add (2,4)=29 Succeeded, w=59\",\"Add (0,6)=30 Succeeded, w=89\",\"Add (0,4)=80 Failed, w=89\",\"Add (2,5)=84 Succeeded, w=173\",\"Add (0,5)=89 Failed, w=173\",\"Add (1,4)=94 Failed, w=173\",\"Add (3,5)=94 Succeeded, w=267\",\"Add (3,4)=95 Failed, w=267\",\"Add (0,2)=98 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,4,80],[0,5,89],[0,6,30],[1,2,29],[1,4,94],[2,4,29],[2,5,84],[3,4,95],[3,5,94],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(1,2)=29,(2,4)=29,(0,6)=30,(0,4)=80,(2,5)=84,(0,5)=89,(1,4)=94,(3,5)=94,(3,4)=95,(0,2)=98]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=30\",\"Find(2)=1, Find(4)=4, Add (2,4)=29 Succeeded, w=59\",\"Find(0)=0, Find(6)=1, Add (0,6)=30 Succeeded, w=89\",\"Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=89\",\"Find(2)=1, Find(5)=5, Add (2,5)=84 Succeeded, w=173\",\"Find(0)=1, Find(5)=1, Add (0,5)=89 Failed, w=173\",\"Find(1)=1, Find(4)=1, Add (1,4)=94 Failed, w=173\",\"Find(3)=3, Find(5)=1, Add (3,5)=94 Succeeded, w=267\",\"Find(3)=1, Find(4)=1, Add (3,4)=95 Failed, w=267\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,4,80],[0,5,89],[0,6,30],[1,2,29],[1,4,94],[2,4,29],[2,5,84],[3,4,95],[3,5,94],[4,6,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(1,2)=29,(2,4)=29,(0,6)=30,(0,4)=80,(2,5)=84,(0,5)=89,(1,4)=94,(3,5)=94,(3,4)=95,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 4}, Find(2)=1, Find(4)=4, Add (2,4)=29 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=30 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=5, Add (2,5)=84 Succeeded, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=89 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=94 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=3, Find(5)=1, Add (3,5)=94 Succeeded, w=267\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=95 Failed, w=267\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,24],[0,3,50],[0,4,4],[1,3,66],[2,3,95],[2,4,2],[3,4,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,3,50],[0,4,4],[1,3,66],[2,3,95],[2,4,2],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,3,50],[0,4,4],[1,3,66],[2,3,95],[2,4,2],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,3,50],[0,4,4],[1,3,66],[2,3,95],[2,4,2],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,4)=4, w=6\",\"Add (0,1)=24, w=30\",\"Add (3,4)=37, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,3,50],[0,4,4],[1,3,66],[2,3,95],[2,4,2],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,4)=4 Succeeded, w=6\",\"Add (0,1)=24 Succeeded, w=30\",\"Add (3,4)=37 Succeeded, w=67\",\"Add (0,3)=50 Failed, w=67\",\"Add (1,3)=66 Failed, w=67\",\"Add (2,3)=95 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,3,50],[0,4,4],[1,3,66],[2,3,95],[2,4,2],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=4,(0,1)=24,(3,4)=37,(0,3)=50,(1,3)=66,(2,3)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=2, Add (0,4)=4 Succeeded, w=6\",\"Find(0)=2, Find(1)=1, Add (0,1)=24 Succeeded, w=30\",\"Find(3)=3, Find(4)=2, Add (3,4)=37 Succeeded, w=67\",\"Find(0)=2, Find(3)=2, Add (0,3)=50 Failed, w=67\",\"Find(1)=2, Find(3)=2, Add (1,3)=66 Failed, w=67\",\"Find(2)=2, Find(3)=2, Add (2,3)=95 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,3,50],[0,4,4],[1,3,66],[2,3,95],[2,4,2],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,4)=4,(0,1)=24,(3,4)=37,(0,3)=50,(1,3)=66,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=4 Succeeded, w=6\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=24 Succeeded, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=37 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=50 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=66 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=95 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,7],[0,4,36],[0,7,69],[1,2,97],[1,4,7],[1,5,46],[1,6,48],[2,4,37],[2,6,30],[2,7,89],[3,4,79],[3,6,92],[4,5,31],[5,6,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,7],[0,4,36],[0,7,69],[1,2,97],[1,4,7],[1,5,46],[1,6,48],[2,4,37],[2,6,30],[2,7,89],[3,4,79],[3,6,92],[4,5,31],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,7],[0,4,36],[0,7,69],[1,2,97],[1,4,7],[1,5,46],[1,6,48],[2,4,37],[2,6,30],[2,7,89],[3,4,79],[3,6,92],[4,5,31],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (0,7)\",\"Add (3,4)\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,7],[0,4,36],[0,7,69],[1,2,97],[1,4,7],[1,5,46],[1,6,48],[2,4,37],[2,6,30],[2,7,89],[3,4,79],[3,6,92],[4,5,31],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (1,4)=7, w=14\",\"Add (2,6)=30, w=44\",\"Add (4,5)=31, w=75\",\"Add (5,6)=35, w=110\",\"Add (0,7)=69, w=179\",\"Add (3,4)=79, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,7],[0,4,36],[0,7,69],[1,2,97],[1,4,7],[1,5,46],[1,6,48],[2,4,37],[2,6,30],[2,7,89],[3,4,79],[3,6,92],[4,5,31],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (1,4)=7 Succeeded, w=14\",\"Add (2,6)=30 Succeeded, w=44\",\"Add (4,5)=31 Succeeded, w=75\",\"Add (5,6)=35 Succeeded, w=110\",\"Add (0,4)=36 Failed, w=110\",\"Add (2,4)=37 Failed, w=110\",\"Add (1,5)=46 Failed, w=110\",\"Add (1,6)=48 Failed, w=110\",\"Add (0,7)=69 Succeeded, w=179\",\"Add (3,4)=79 Succeeded, w=258\",\"Add (2,7)=89 Failed, w=258\",\"Add (3,6)=92 Failed, w=258\",\"Add (1,2)=97 Failed, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,7],[0,4,36],[0,7,69],[1,2,97],[1,4,7],[1,5,46],[1,6,48],[2,4,37],[2,6,30],[2,7,89],[3,4,79],[3,6,92],[4,5,31],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(1,4)=7,(2,6)=30,(4,5)=31,(5,6)=35,(0,4)=36,(2,4)=37,(1,5)=46,(1,6)=48,(0,7)=69,(3,4)=79,(2,7)=89,(3,6)=92,(1,2)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=14\",\"Find(2)=0, Find(6)=6, Add (2,6)=30 Succeeded, w=44\",\"Find(4)=1, Find(5)=5, Add (4,5)=31 Succeeded, w=75\",\"Find(5)=1, Find(6)=0, Add (5,6)=35 Succeeded, w=110\",\"Find(0)=1, Find(4)=1, Add (0,4)=36 Failed, w=110\",\"Find(2)=1, Find(4)=1, Add (2,4)=37 Failed, w=110\",\"Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=110\",\"Find(1)=1, Find(6)=1, Add (1,6)=48 Failed, w=110\",\"Find(0)=1, Find(7)=7, Add (0,7)=69 Succeeded, w=179\",\"Find(3)=3, Find(4)=1, Add (3,4)=79 Succeeded, w=258\",\"Find(2)=1, Find(7)=1, Add (2,7)=89 Failed, w=258\",\"Find(3)=1, Find(6)=1, Add (3,6)=92 Failed, w=258\",\"Find(1)=1, Find(2)=1, Add (1,2)=97 Failed, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,7],[0,4,36],[0,7,69],[1,2,97],[1,4,7],[1,5,46],[1,6,48],[2,4,37],[2,6,30],[2,7,89],[3,4,79],[3,6,92],[4,5,31],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(1,4)=7,(2,6)=30,(4,5)=31,(5,6)=35,(0,4)=36,(2,4)=37,(1,5)=46,(1,6)=48,(0,7)=69,(3,4)=79,(2,7)=89,(3,6)=92,(1,2)=97]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 7}, Find(2)=0, Find(6)=6, Add (2,6)=30 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 0, 7: 7}, Find(4)=1, Find(5)=5, Add (4,5)=31 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 0, 7: 7}, Find(5)=1, Find(6)=0, Add (5,6)=35 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 0, 7: 7}, Find(0)=1, Find(4)=1, Add (0,4)=36 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0, 7: 7}, Find(2)=1, Find(4)=1, Add (2,4)=37 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(6)=1, Add (1,6)=48 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=7, Add (0,7)=69 Succeeded, w=179\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=3, Find(4)=1, Add (3,4)=79 Succeeded, w=258\",\"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)=89 Failed, w=258\",\"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)=92 Failed, w=258\",\"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)=97 Failed, w=258\"],\"Answer\":258}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,52],[0,2,19],[0,3,68],[0,4,99],[0,5,80],[0,6,10],[0,7,44],[1,2,14],[1,4,9],[1,5,85],[1,7,17],[2,3,17],[2,4,6],[2,5,59],[2,6,32],[3,5,65],[3,7,15],[4,5,8],[4,6,92],[5,6,99],[6,7,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,19],[0,3,68],[0,4,99],[0,5,80],[0,6,10],[0,7,44],[1,2,14],[1,4,9],[1,5,85],[1,7,17],[2,3,17],[2,4,6],[2,5,59],[2,6,32],[3,5,65],[3,7,15],[4,5,8],[4,6,92],[5,6,99],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,19],[0,3,68],[0,4,99],[0,5,80],[0,6,10],[0,7,44],[1,2,14],[1,4,9],[1,5,85],[1,7,17],[2,3,17],[2,4,6],[2,5,59],[2,6,32],[3,5,65],[3,7,15],[4,5,8],[4,6,92],[5,6,99],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (3,7)\",\"Add (1,7)\",\"Add (0,2)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,19],[0,3,68],[0,4,99],[0,5,80],[0,6,10],[0,7,44],[1,2,14],[1,4,9],[1,5,85],[1,7,17],[2,3,17],[2,4,6],[2,5,59],[2,6,32],[3,5,65],[3,7,15],[4,5,8],[4,6,92],[5,6,99],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (4,5)=8, w=14\",\"Add (1,4)=9, w=23\",\"Add (0,6)=10, w=33\",\"Add (3,7)=15, w=48\",\"Add (1,7)=17, w=65\",\"Add (0,2)=19, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,19],[0,3,68],[0,4,99],[0,5,80],[0,6,10],[0,7,44],[1,2,14],[1,4,9],[1,5,85],[1,7,17],[2,3,17],[2,4,6],[2,5,59],[2,6,32],[3,5,65],[3,7,15],[4,5,8],[4,6,92],[5,6,99],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (4,5)=8 Succeeded, w=14\",\"Add (1,4)=9 Succeeded, w=23\",\"Add (0,6)=10 Succeeded, w=33\",\"Add (1,2)=14 Failed, w=33\",\"Add (3,7)=15 Succeeded, w=48\",\"Add (1,7)=17 Succeeded, w=65\",\"Add (2,3)=17 Failed, w=65\",\"Add (0,2)=19 Succeeded, w=84\",\"Add (2,6)=32 Failed, w=84\",\"Add (0,7)=44 Failed, w=84\",\"Add (0,1)=52 Failed, w=84\",\"Add (2,5)=59 Failed, w=84\",\"Add (3,5)=65 Failed, w=84\",\"Add (0,3)=68 Failed, w=84\",\"Add (6,7)=70 Failed, w=84\",\"Add (0,5)=80 Failed, w=84\",\"Add (1,5)=85 Failed, w=84\",\"Add (4,6)=92 Failed, w=84\",\"Add (0,4)=99 Failed, w=84\",\"Add (5,6)=99 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,19],[0,3,68],[0,4,99],[0,5,80],[0,6,10],[0,7,44],[1,2,14],[1,4,9],[1,5,85],[1,7,17],[2,3,17],[2,4,6],[2,5,59],[2,6,32],[3,5,65],[3,7,15],[4,5,8],[4,6,92],[5,6,99],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(4,5)=8,(1,4)=9,(0,6)=10,(1,2)=14,(3,7)=15,(1,7)=17,(2,3)=17,(0,2)=19,(2,6)=32,(0,7)=44,(0,1)=52,(2,5)=59,(3,5)=65,(0,3)=68,(6,7)=70,(0,5)=80,(1,5)=85,(4,6)=92,(0,4)=99,(5,6)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(4)=2, Find(5)=5, Add (4,5)=8 Succeeded, w=14\",\"Find(1)=1, Find(4)=2, Add (1,4)=9 Succeeded, w=23\",\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=33\",\"Find(1)=2, Find(2)=2, Add (1,2)=14 Failed, w=33\",\"Find(3)=3, Find(7)=7, Add (3,7)=15 Succeeded, w=48\",\"Find(1)=2, Find(7)=3, Add (1,7)=17 Succeeded, w=65\",\"Find(2)=2, Find(3)=2, Add (2,3)=17 Failed, w=65\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=84\",\"Find(2)=2, Find(6)=2, Add (2,6)=32 Failed, w=84\",\"Find(0)=2, Find(7)=2, Add (0,7)=44 Failed, w=84\",\"Find(0)=2, Find(1)=2, Add (0,1)=52 Failed, w=84\",\"Find(2)=2, Find(5)=2, Add (2,5)=59 Failed, w=84\",\"Find(3)=2, Find(5)=2, Add (3,5)=65 Failed, w=84\",\"Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=84\",\"Find(6)=2, Find(7)=2, Add (6,7)=70 Failed, w=84\",\"Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=84\",\"Find(1)=2, Find(5)=2, Add (1,5)=85 Failed, w=84\",\"Find(4)=2, Find(6)=2, Add (4,6)=92 Failed, w=84\",\"Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=84\",\"Find(5)=2, Find(6)=2, Add (5,6)=99 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,52],[0,2,19],[0,3,68],[0,4,99],[0,5,80],[0,6,10],[0,7,44],[1,2,14],[1,4,9],[1,5,85],[1,7,17],[2,3,17],[2,4,6],[2,5,59],[2,6,32],[3,5,65],[3,7,15],[4,5,8],[4,6,92],[5,6,99],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(4,5)=8,(1,4)=9,(0,6)=10,(1,2)=14,(3,7)=15,(1,7)=17,(2,3)=17,(0,2)=19,(2,6)=32,(0,7)=44,(0,1)=52,(2,5)=59,(3,5)=65,(0,3)=68,(6,7)=70,(0,5)=80,(1,5)=85,(4,6)=92,(0,4)=99,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(4)=2, Find(5)=5, Add (4,5)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(4)=2, Add (1,4)=9 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0, 7: 7}, Find(1)=2, Find(2)=2, Add (1,2)=14 Failed, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 0, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=15 Succeeded, w=48\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 3}, Find(1)=2, Find(7)=3, Add (1,7)=17 Succeeded, w=65\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 3}, Find(2)=2, Find(3)=2, Add (2,3)=17 Failed, w=65\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 3}, Find(2)=2, Find(6)=2, Add (2,6)=32 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=44 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=52 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=59 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=65 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=84\",\"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)=70 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=85 Failed, w=84\",\"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)=92 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=99 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,34],[0,2,56],[0,3,99],[0,4,58],[0,6,26],[1,2,30],[1,3,32],[1,5,29],[1,6,67],[2,3,29],[2,4,9],[2,5,60],[2,6,46],[3,4,56],[3,5,19],[3,6,1],[4,5,35],[5,6,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,56],[0,3,99],[0,4,58],[0,6,26],[1,2,30],[1,3,32],[1,5,29],[1,6,67],[2,3,29],[2,4,9],[2,5,60],[2,6,46],[3,4,56],[3,5,19],[3,6,1],[4,5,35],[5,6,59]]}",
"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\":[[0,1,34],[0,2,56],[0,3,99],[0,4,58],[0,6,26],[1,2,30],[1,3,32],[1,5,29],[1,6,67],[2,3,29],[2,4,9],[2,5,60],[2,6,46],[3,4,56],[3,5,19],[3,6,1],[4,5,35],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,56],[0,3,99],[0,4,58],[0,6,26],[1,2,30],[1,3,32],[1,5,29],[1,6,67],[2,3,29],[2,4,9],[2,5,60],[2,6,46],[3,4,56],[3,5,19],[3,6,1],[4,5,35],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (2,4)=9, w=10\",\"Add (3,5)=19, w=29\",\"Add (0,6)=26, w=55\",\"Add (1,5)=29, w=84\",\"Add (2,3)=29, 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\":[[0,1,34],[0,2,56],[0,3,99],[0,4,58],[0,6,26],[1,2,30],[1,3,32],[1,5,29],[1,6,67],[2,3,29],[2,4,9],[2,5,60],[2,6,46],[3,4,56],[3,5,19],[3,6,1],[4,5,35],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (2,4)=9 Succeeded, w=10\",\"Add (3,5)=19 Succeeded, w=29\",\"Add (0,6)=26 Succeeded, w=55\",\"Add (1,5)=29 Succeeded, w=84\",\"Add (2,3)=29 Succeeded, w=113\",\"Add (1,2)=30 Failed, w=113\",\"Add (1,3)=32 Failed, w=113\",\"Add (0,1)=34 Failed, w=113\",\"Add (4,5)=35 Failed, w=113\",\"Add (2,6)=46 Failed, w=113\",\"Add (0,2)=56 Failed, w=113\",\"Add (3,4)=56 Failed, w=113\",\"Add (0,4)=58 Failed, w=113\",\"Add (5,6)=59 Failed, w=113\",\"Add (2,5)=60 Failed, w=113\",\"Add (1,6)=67 Failed, w=113\",\"Add (0,3)=99 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\":[[0,1,34],[0,2,56],[0,3,99],[0,4,58],[0,6,26],[1,2,30],[1,3,32],[1,5,29],[1,6,67],[2,3,29],[2,4,9],[2,5,60],[2,6,46],[3,4,56],[3,5,19],[3,6,1],[4,5,35],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(2,4)=9,(3,5)=19,(0,6)=26,(1,5)=29,(2,3)=29,(1,2)=30,(1,3)=32,(0,1)=34,(4,5)=35,(2,6)=46,(0,2)=56,(3,4)=56,(0,4)=58,(5,6)=59,(2,5)=60,(1,6)=67,(0,3)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=10\",\"Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=29\",\"Find(0)=0, Find(6)=3, Add (0,6)=26 Succeeded, w=55\",\"Find(1)=1, Find(5)=3, Add (1,5)=29 Succeeded, w=84\",\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=113\",\"Find(1)=2, Find(2)=2, Add (1,2)=30 Failed, w=113\",\"Find(1)=2, Find(3)=2, Add (1,3)=32 Failed, w=113\",\"Find(0)=2, Find(1)=2, Add (0,1)=34 Failed, w=113\",\"Find(4)=2, Find(5)=2, Add (4,5)=35 Failed, w=113\",\"Find(2)=2, Find(6)=2, Add (2,6)=46 Failed, w=113\",\"Find(0)=2, Find(2)=2, Add (0,2)=56 Failed, w=113\",\"Find(3)=2, Find(4)=2, Add (3,4)=56 Failed, w=113\",\"Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=113\",\"Find(5)=2, Find(6)=2, Add (5,6)=59 Failed, w=113\",\"Find(2)=2, Find(5)=2, Add (2,5)=60 Failed, w=113\",\"Find(1)=2, Find(6)=2, Add (1,6)=67 Failed, w=113\",\"Find(0)=2, Find(3)=2, Add (0,3)=99 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\":[[0,1,34],[0,2,56],[0,3,99],[0,4,58],[0,6,26],[1,2,30],[1,3,32],[1,5,29],[1,6,67],[2,3,29],[2,4,9],[2,5,60],[2,6,46],[3,4,56],[3,5,19],[3,6,1],[4,5,35],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(2,4)=9,(3,5)=19,(0,6)=26,(1,5)=29,(2,3)=29,(1,2)=30,(1,3)=32,(0,1)=34,(4,5)=35,(2,6)=46,(0,2)=56,(3,4)=56,(0,4)=58,(5,6)=59,(2,5)=60,(1,6)=67,(0,3)=99]\",\"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: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(2)=2, Find(4)=4, Add (2,4)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=19 Succeeded, w=29\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=26 Succeeded, w=55\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3}, Find(1)=1, Find(5)=3, Add (1,5)=29 Succeeded, w=84\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 2, 4: 2, 5: 3, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=113\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 3}, Find(1)=2, Find(2)=2, Add (1,2)=30 Failed, w=113\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 3}, Find(1)=2, Find(3)=2, Add (1,3)=32 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3, 6: 3}, Find(0)=2, Find(1)=2, Add (0,1)=34 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(4)=2, Find(5)=2, Add (4,5)=35 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=46 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=56 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=56 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=59 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=60 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=67 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,92],[0,3,26],[0,4,74],[1,2,80],[1,3,16],[2,3,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,26],[0,4,74],[1,2,80],[1,3,16],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,26],[0,4,74],[1,2,80],[1,3,16],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,26],[0,4,74],[1,2,80],[1,3,16],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16, w=16\",\"Add (0,3)=26, w=42\",\"Add (2,3)=33, w=75\",\"Add (0,4)=74, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,26],[0,4,74],[1,2,80],[1,3,16],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16 Succeeded, w=16\",\"Add (0,3)=26 Succeeded, w=42\",\"Add (2,3)=33 Succeeded, w=75\",\"Add (0,4)=74 Succeeded, w=149\",\"Add (1,2)=80 Failed, w=149\",\"Add (0,1)=92 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,26],[0,4,74],[1,2,80],[1,3,16],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(0,3)=26,(2,3)=33,(0,4)=74,(1,2)=80,(0,1)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=42\",\"Find(2)=2, Find(3)=1, Add (2,3)=33 Succeeded, w=75\",\"Find(0)=1, Find(4)=4, Add (0,4)=74 Succeeded, w=149\",\"Find(1)=1, Find(2)=1, Add (1,2)=80 Failed, w=149\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,3,26],[0,4,74],[1,2,80],[1,3,16],[2,3,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(0,3)=26,(2,3)=33,(0,4)=74,(1,2)=80,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=33 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=74 Succeeded, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=80 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,14],[0,3,22],[0,4,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,22],[0,4,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,22],[0,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,22],[0,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (0,3)=22, w=36\",\"Add (0,4)=80, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,22],[0,4,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (0,3)=22 Succeeded, w=36\",\"Add (0,4)=80 Succeeded, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,22],[0,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(0,3)=22,(0,4)=80]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=36\",\"Find(0)=0, Find(4)=4, Add (0,4)=80 Succeeded, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,14],[0,3,22],[0,4,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(0,3)=22,(0,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=80 Succeeded, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,97],[0,2,28],[0,3,0],[0,4,73],[0,5,95],[0,6,83],[1,2,9],[1,3,71],[1,4,96],[1,5,12],[1,6,56],[2,3,13],[2,4,22],[2,6,66],[3,4,10],[3,5,93],[3,6,89],[4,5,94],[4,6,0],[5,6,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,28],[0,3,0],[0,4,73],[0,5,95],[0,6,83],[1,2,9],[1,3,71],[1,4,96],[1,5,12],[1,6,56],[2,3,13],[2,4,22],[2,6,66],[3,4,10],[3,5,93],[3,6,89],[4,5,94],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,28],[0,3,0],[0,4,73],[0,5,95],[0,6,83],[1,2,9],[1,3,71],[1,4,96],[1,5,12],[1,6,56],[2,3,13],[2,4,22],[2,6,66],[3,4,10],[3,5,93],[3,6,89],[4,5,94],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,6)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,28],[0,3,0],[0,4,73],[0,5,95],[0,6,83],[1,2,9],[1,3,71],[1,4,96],[1,5,12],[1,6,56],[2,3,13],[2,4,22],[2,6,66],[3,4,10],[3,5,93],[3,6,89],[4,5,94],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (4,6)=0, w=0\",\"Add (1,2)=9, w=9\",\"Add (3,4)=10, w=19\",\"Add (1,5)=12, w=31\",\"Add (2,3)=13, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,28],[0,3,0],[0,4,73],[0,5,95],[0,6,83],[1,2,9],[1,3,71],[1,4,96],[1,5,12],[1,6,56],[2,3,13],[2,4,22],[2,6,66],[3,4,10],[3,5,93],[3,6,89],[4,5,94],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (4,6)=0 Succeeded, w=0\",\"Add (1,2)=9 Succeeded, w=9\",\"Add (3,4)=10 Succeeded, w=19\",\"Add (1,5)=12 Succeeded, w=31\",\"Add (2,3)=13 Succeeded, w=44\",\"Add (2,4)=22 Failed, w=44\",\"Add (0,2)=28 Failed, w=44\",\"Add (5,6)=49 Failed, w=44\",\"Add (1,6)=56 Failed, w=44\",\"Add (2,6)=66 Failed, w=44\",\"Add (1,3)=71 Failed, w=44\",\"Add (0,4)=73 Failed, w=44\",\"Add (0,6)=83 Failed, w=44\",\"Add (3,6)=89 Failed, w=44\",\"Add (3,5)=93 Failed, w=44\",\"Add (4,5)=94 Failed, w=44\",\"Add (0,5)=95 Failed, w=44\",\"Add (1,4)=96 Failed, w=44\",\"Add (0,1)=97 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,28],[0,3,0],[0,4,73],[0,5,95],[0,6,83],[1,2,9],[1,3,71],[1,4,96],[1,5,12],[1,6,56],[2,3,13],[2,4,22],[2,6,66],[3,4,10],[3,5,93],[3,6,89],[4,5,94],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(4,6)=0,(1,2)=9,(3,4)=10,(1,5)=12,(2,3)=13,(2,4)=22,(0,2)=28,(5,6)=49,(1,6)=56,(2,6)=66,(1,3)=71,(0,4)=73,(0,6)=83,(3,6)=89,(3,5)=93,(4,5)=94,(0,5)=95,(1,4)=96,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(3)=0, Find(4)=4, Add (3,4)=10 Succeeded, w=19\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=31\",\"Find(2)=1, Find(3)=0, Add (2,3)=13 Succeeded, w=44\",\"Find(2)=0, Find(4)=0, Add (2,4)=22 Failed, w=44\",\"Find(0)=0, Find(2)=0, Add (0,2)=28 Failed, w=44\",\"Find(5)=0, Find(6)=0, Add (5,6)=49 Failed, w=44\",\"Find(1)=0, Find(6)=0, Add (1,6)=56 Failed, w=44\",\"Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=44\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=44\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=44\",\"Find(0)=0, Find(6)=0, Add (0,6)=83 Failed, w=44\",\"Find(3)=0, Find(6)=0, Add (3,6)=89 Failed, w=44\",\"Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=44\",\"Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=44\",\"Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=44\",\"Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=44\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,28],[0,3,0],[0,4,73],[0,5,95],[0,6,83],[1,2,9],[1,3,71],[1,4,96],[1,5,12],[1,6,56],[2,3,13],[2,4,22],[2,6,66],[3,4,10],[3,5,93],[3,6,89],[4,5,94],[4,6,0],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(4,6)=0,(1,2)=9,(3,4)=10,(1,5)=12,(2,3)=13,(2,4)=22,(0,2)=28,(5,6)=49,(1,6)=56,(2,6)=66,(1,3)=71,(0,4)=73,(0,6)=83,(3,6)=89,(3,5)=93,(4,5)=94,(0,5)=95,(1,4)=96,(0,1)=97]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5, 6: 4}, Find(3)=0, Find(4)=4, Add (3,4)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 4}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1, 6: 4}, Find(2)=1, Find(3)=0, Add (2,3)=13 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 4}, Find(2)=0, Find(4)=0, Add (2,4)=22 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 4}, Find(0)=0, Find(2)=0, Add (0,2)=28 Failed, w=44\",\"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=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=56 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=83 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=89 Failed, w=44\",\"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=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=94 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,46],[0,4,71],[0,5,94],[0,6,25],[1,2,24],[1,4,1],[1,5,41],[1,7,81],[3,6,84],[3,7,65],[4,5,47],[4,6,67],[4,7,90],[6,7,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,46],[0,4,71],[0,5,94],[0,6,25],[1,2,24],[1,4,1],[1,5,41],[1,7,81],[3,6,84],[3,7,65],[4,5,47],[4,6,67],[4,7,90],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,46],[0,4,71],[0,5,94],[0,6,25],[1,2,24],[1,4,1],[1,5,41],[1,7,81],[3,6,84],[3,7,65],[4,5,47],[4,6,67],[4,7,90],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (6,7)\",\"Add (4,6)\"],\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,46],[0,4,71],[0,5,94],[0,6,25],[1,2,24],[1,4,1],[1,5,41],[1,7,81],[3,6,84],[3,7,65],[4,5,47],[4,6,67],[4,7,90],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (1,2)=24, w=25\",\"Add (0,6)=25, w=50\",\"Add (1,5)=41, w=91\",\"Add (0,3)=46, w=137\",\"Add (6,7)=60, w=197\",\"Add (4,6)=67, w=264\"],\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,46],[0,4,71],[0,5,94],[0,6,25],[1,2,24],[1,4,1],[1,5,41],[1,7,81],[3,6,84],[3,7,65],[4,5,47],[4,6,67],[4,7,90],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (1,2)=24 Succeeded, w=25\",\"Add (0,6)=25 Succeeded, w=50\",\"Add (1,5)=41 Succeeded, w=91\",\"Add (0,3)=46 Succeeded, w=137\",\"Add (4,5)=47 Failed, w=137\",\"Add (6,7)=60 Succeeded, w=197\",\"Add (3,7)=65 Failed, w=197\",\"Add (4,6)=67 Succeeded, w=264\",\"Add (0,4)=71 Failed, w=264\",\"Add (1,7)=81 Failed, w=264\",\"Add (3,6)=84 Failed, w=264\",\"Add (4,7)=90 Failed, w=264\",\"Add (0,5)=94 Failed, w=264\"],\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,46],[0,4,71],[0,5,94],[0,6,25],[1,2,24],[1,4,1],[1,5,41],[1,7,81],[3,6,84],[3,7,65],[4,5,47],[4,6,67],[4,7,90],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(1,2)=24,(0,6)=25,(1,5)=41,(0,3)=46,(4,5)=47,(6,7)=60,(3,7)=65,(4,6)=67,(0,4)=71,(1,7)=81,(3,6)=84,(4,7)=90,(0,5)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=25\",\"Find(0)=0, Find(6)=6, Add (0,6)=25 Succeeded, w=50\",\"Find(1)=1, Find(5)=5, Add (1,5)=41 Succeeded, w=91\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=137\",\"Find(4)=1, Find(5)=1, Add (4,5)=47 Failed, w=137\",\"Find(6)=0, Find(7)=7, Add (6,7)=60 Succeeded, w=197\",\"Find(3)=0, Find(7)=0, Add (3,7)=65 Failed, w=197\",\"Find(4)=1, Find(6)=0, Add (4,6)=67 Succeeded, w=264\",\"Find(0)=1, Find(4)=1, Add (0,4)=71 Failed, w=264\",\"Find(1)=1, Find(7)=1, Add (1,7)=81 Failed, w=264\",\"Find(3)=1, Find(6)=1, Add (3,6)=84 Failed, w=264\",\"Find(4)=1, Find(7)=1, Add (4,7)=90 Failed, w=264\",\"Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=264\"],\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,46],[0,4,71],[0,5,94],[0,6,25],[1,2,24],[1,4,1],[1,5,41],[1,7,81],[3,6,84],[3,7,65],[4,5,47],[4,6,67],[4,7,90],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(1,2)=24,(0,6)=25,(1,5)=41,(0,3)=46,(4,5)=47,(6,7)=60,(3,7)=65,(4,6)=67,(0,4)=71,(1,7)=81,(3,6)=84,(4,7)=90,(0,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=25 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=41 Succeeded, w=91\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=137\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0, 7: 7}, Find(4)=1, Find(5)=1, Add (4,5)=47 Failed, w=137\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=60 Succeeded, w=197\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=65 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0, 7: 0}, Find(4)=1, Find(6)=0, Add (4,6)=67 Succeeded, w=264\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0, 7: 0}, Find(0)=1, Find(4)=1, Add (0,4)=71 Failed, w=264\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 0, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=81 Failed, w=264\",\"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)=84 Failed, w=264\",\"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)=90 Failed, w=264\",\"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)=94 Failed, w=264\"],\"Answer\":264}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,39],[0,2,16],[0,3,68],[1,2,18],[2,3,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,16],[0,3,68],[1,2,18],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,16],[0,3,68],[1,2,18],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,16],[0,3,68],[1,2,18],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16, w=16\",\"Add (1,2)=18, w=34\",\"Add (0,3)=68, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,16],[0,3,68],[1,2,18],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16 Succeeded, w=16\",\"Add (1,2)=18 Succeeded, w=34\",\"Add (0,1)=39 Failed, w=34\",\"Add (0,3)=68 Succeeded, w=102\",\"Add (2,3)=99 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,16],[0,3,68],[1,2,18],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(1,2)=18,(0,1)=39,(0,3)=68,(2,3)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=34\",\"Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=34\",\"Find(0)=0, Find(3)=3, Add (0,3)=68 Succeeded, w=102\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,16],[0,3,68],[1,2,18],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(1,2)=18,(0,1)=39,(0,3)=68,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=0, Add (0,1)=39 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=68 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=96, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=96 Succeeded, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=96 Succeeded, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=96 Succeeded, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,23],[0,2,0],[0,3,19],[0,4,8],[0,6,37],[0,7,84],[1,2,61],[1,3,36],[1,4,3],[1,5,16],[1,6,53],[2,3,13],[2,4,44],[2,6,20],[2,7,93],[3,5,5],[3,7,95],[4,5,90],[4,7,76],[5,6,42],[5,7,95],[6,7,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,0],[0,3,19],[0,4,8],[0,6,37],[0,7,84],[1,2,61],[1,3,36],[1,4,3],[1,5,16],[1,6,53],[2,3,13],[2,4,44],[2,6,20],[2,7,93],[3,5,5],[3,7,95],[4,5,90],[4,7,76],[5,6,42],[5,7,95],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,0],[0,3,19],[0,4,8],[0,6,37],[0,7,84],[1,2,61],[1,3,36],[1,4,3],[1,5,16],[1,6,53],[2,3,13],[2,4,44],[2,6,20],[2,7,93],[3,5,5],[3,7,95],[4,5,90],[4,7,76],[5,6,42],[5,7,95],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (2,6)\",\"Add (6,7)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,0],[0,3,19],[0,4,8],[0,6,37],[0,7,84],[1,2,61],[1,3,36],[1,4,3],[1,5,16],[1,6,53],[2,3,13],[2,4,44],[2,6,20],[2,7,93],[3,5,5],[3,7,95],[4,5,90],[4,7,76],[5,6,42],[5,7,95],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (1,4)=3, w=3\",\"Add (3,5)=5, w=8\",\"Add (0,4)=8, w=16\",\"Add (2,3)=13, w=29\",\"Add (2,6)=20, w=49\",\"Add (6,7)=31, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,0],[0,3,19],[0,4,8],[0,6,37],[0,7,84],[1,2,61],[1,3,36],[1,4,3],[1,5,16],[1,6,53],[2,3,13],[2,4,44],[2,6,20],[2,7,93],[3,5,5],[3,7,95],[4,5,90],[4,7,76],[5,6,42],[5,7,95],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (1,4)=3 Succeeded, w=3\",\"Add (3,5)=5 Succeeded, w=8\",\"Add (0,4)=8 Succeeded, w=16\",\"Add (2,3)=13 Succeeded, w=29\",\"Add (1,5)=16 Failed, w=29\",\"Add (0,3)=19 Failed, w=29\",\"Add (2,6)=20 Succeeded, w=49\",\"Add (0,1)=23 Failed, w=49\",\"Add (6,7)=31 Succeeded, w=80\",\"Add (1,3)=36 Failed, w=80\",\"Add (0,6)=37 Failed, w=80\",\"Add (5,6)=42 Failed, w=80\",\"Add (2,4)=44 Failed, w=80\",\"Add (1,6)=53 Failed, w=80\",\"Add (1,2)=61 Failed, w=80\",\"Add (4,7)=76 Failed, w=80\",\"Add (0,7)=84 Failed, w=80\",\"Add (4,5)=90 Failed, w=80\",\"Add (2,7)=93 Failed, w=80\",\"Add (3,7)=95 Failed, w=80\",\"Add (5,7)=95 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,0],[0,3,19],[0,4,8],[0,6,37],[0,7,84],[1,2,61],[1,3,36],[1,4,3],[1,5,16],[1,6,53],[2,3,13],[2,4,44],[2,6,20],[2,7,93],[3,5,5],[3,7,95],[4,5,90],[4,7,76],[5,6,42],[5,7,95],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,4)=3,(3,5)=5,(0,4)=8,(2,3)=13,(1,5)=16,(0,3)=19,(2,6)=20,(0,1)=23,(6,7)=31,(1,3)=36,(0,6)=37,(5,6)=42,(2,4)=44,(1,6)=53,(1,2)=61,(4,7)=76,(0,7)=84,(4,5)=90,(2,7)=93,(3,7)=95,(5,7)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=8\",\"Find(0)=0, Find(4)=1, Add (0,4)=8 Succeeded, w=16\",\"Find(2)=0, Find(3)=3, Add (2,3)=13 Succeeded, w=29\",\"Find(1)=0, Find(5)=0, Add (1,5)=16 Failed, w=29\",\"Find(0)=0, Find(3)=0, Add (0,3)=19 Failed, w=29\",\"Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=49\",\"Find(0)=0, Find(1)=0, Add (0,1)=23 Failed, w=49\",\"Find(6)=0, Find(7)=7, Add (6,7)=31 Succeeded, w=80\",\"Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=80\",\"Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=80\",\"Find(5)=0, Find(6)=0, Add (5,6)=42 Failed, w=80\",\"Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=80\",\"Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=80\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=80\",\"Find(4)=0, Find(7)=0, Add (4,7)=76 Failed, w=80\",\"Find(0)=0, Find(7)=0, Add (0,7)=84 Failed, w=80\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=80\",\"Find(2)=0, Find(7)=0, Add (2,7)=93 Failed, w=80\",\"Find(3)=0, Find(7)=0, Add (3,7)=95 Failed, w=80\",\"Find(5)=0, Find(7)=0, Add (5,7)=95 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,23],[0,2,0],[0,3,19],[0,4,8],[0,6,37],[0,7,84],[1,2,61],[1,3,36],[1,4,3],[1,5,16],[1,6,53],[2,3,13],[2,4,44],[2,6,20],[2,7,93],[3,5,5],[3,7,95],[4,5,90],[4,7,76],[5,6,42],[5,7,95],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,4)=3,(3,5)=5,(0,4)=8,(2,3)=13,(1,5)=16,(0,3)=19,(2,6)=20,(0,1)=23,(6,7)=31,(1,3)=36,(0,6)=37,(5,6)=42,(2,4)=44,(1,6)=53,(1,2)=61,(4,7)=76,(0,7)=84,(4,5)=90,(2,7)=93,(3,7)=95,(5,7)=95]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(4)=1, Add (0,4)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 3, 6: 6, 7: 7}, Find(2)=0, Find(3)=3, Add (2,3)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=16 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(3)=0, Add (0,3)=19 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(1)=0, Add (0,1)=23 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=31 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=37 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=42 Failed, w=80\",\"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)=44 Failed, w=80\",\"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)=53 Failed, w=80\",\"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)=61 Failed, w=80\",\"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)=76 Failed, w=80\",\"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)=84 Failed, w=80\",\"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)=90 Failed, w=80\",\"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)=93 Failed, w=80\",\"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)=95 Failed, w=80\",\"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)=95 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,66],[0,2,2],[0,3,71],[0,4,20],[0,5,4],[0,6,70],[1,2,64],[1,3,62],[1,4,33],[1,5,47],[1,6,48],[2,3,33],[2,4,10],[2,5,22],[2,6,14],[3,4,57],[3,5,58],[3,6,57],[4,5,76],[4,6,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,2],[0,3,71],[0,4,20],[0,5,4],[0,6,70],[1,2,64],[1,3,62],[1,4,33],[1,5,47],[1,6,48],[2,3,33],[2,4,10],[2,5,22],[2,6,14],[3,4,57],[3,5,58],[3,6,57],[4,5,76],[4,6,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,2],[0,3,71],[0,4,20],[0,5,4],[0,6,70],[1,2,64],[1,3,62],[1,4,33],[1,5,47],[1,6,48],[2,3,33],[2,4,10],[2,5,22],[2,6,14],[3,4,57],[3,5,58],[3,6,57],[4,5,76],[4,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,2],[0,3,71],[0,4,20],[0,5,4],[0,6,70],[1,2,64],[1,3,62],[1,4,33],[1,5,47],[1,6,48],[2,3,33],[2,4,10],[2,5,22],[2,6,14],[3,4,57],[3,5,58],[3,6,57],[4,5,76],[4,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (0,5)=4, w=6\",\"Add (2,4)=10, w=16\",\"Add (2,6)=14, w=30\",\"Add (1,4)=33, w=63\",\"Add (2,3)=33, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,2],[0,3,71],[0,4,20],[0,5,4],[0,6,70],[1,2,64],[1,3,62],[1,4,33],[1,5,47],[1,6,48],[2,3,33],[2,4,10],[2,5,22],[2,6,14],[3,4,57],[3,5,58],[3,6,57],[4,5,76],[4,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (0,5)=4 Succeeded, w=6\",\"Add (2,4)=10 Succeeded, w=16\",\"Add (2,6)=14 Succeeded, w=30\",\"Add (0,4)=20 Failed, w=30\",\"Add (2,5)=22 Failed, w=30\",\"Add (1,4)=33 Succeeded, w=63\",\"Add (2,3)=33 Succeeded, w=96\",\"Add (1,5)=47 Failed, w=96\",\"Add (1,6)=48 Failed, w=96\",\"Add (3,4)=57 Failed, w=96\",\"Add (3,6)=57 Failed, w=96\",\"Add (3,5)=58 Failed, w=96\",\"Add (1,3)=62 Failed, w=96\",\"Add (1,2)=64 Failed, w=96\",\"Add (0,1)=66 Failed, w=96\",\"Add (0,6)=70 Failed, w=96\",\"Add (0,3)=71 Failed, w=96\",\"Add (4,6)=74 Failed, w=96\",\"Add (4,5)=76 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,2],[0,3,71],[0,4,20],[0,5,4],[0,6,70],[1,2,64],[1,3,62],[1,4,33],[1,5,47],[1,6,48],[2,3,33],[2,4,10],[2,5,22],[2,6,14],[3,4,57],[3,5,58],[3,6,57],[4,5,76],[4,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,5)=4,(2,4)=10,(2,6)=14,(0,4)=20,(2,5)=22,(1,4)=33,(2,3)=33,(1,5)=47,(1,6)=48,(3,4)=57,(3,6)=57,(3,5)=58,(1,3)=62,(1,2)=64,(0,1)=66,(0,6)=70,(0,3)=71,(4,6)=74,(4,5)=76]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=6\",\"Find(2)=0, Find(4)=4, Add (2,4)=10 Succeeded, w=16\",\"Find(2)=0, Find(6)=6, Add (2,6)=14 Succeeded, w=30\",\"Find(0)=0, Find(4)=0, Add (0,4)=20 Failed, w=30\",\"Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=30\",\"Find(1)=1, Find(4)=0, Add (1,4)=33 Succeeded, w=63\",\"Find(2)=0, Find(3)=3, Add (2,3)=33 Succeeded, w=96\",\"Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=96\",\"Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=57 Failed, w=96\",\"Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=96\",\"Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=96\",\"Find(0)=0, Find(6)=0, Add (0,6)=70 Failed, w=96\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=96\",\"Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=96\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,2],[0,3,71],[0,4,20],[0,5,4],[0,6,70],[1,2,64],[1,3,62],[1,4,33],[1,5,47],[1,6,48],[2,3,33],[2,4,10],[2,5,22],[2,6,14],[3,4,57],[3,5,58],[3,6,57],[4,5,76],[4,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,5)=4,(2,4)=10,(2,6)=14,(0,4)=20,(2,5)=22,(1,4)=33,(2,3)=33,(1,5)=47,(1,6)=48,(3,4)=57,(3,6)=57,(3,5)=58,(1,3)=62,(1,2)=64,(0,1)=66,(0,6)=70,(0,3)=71,(4,6)=74,(4,5)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(4)=4, Add (2,4)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=20 Failed, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=33 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=33 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=57 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=62 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=70 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=74 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,83],[0,2,56],[0,3,87],[0,4,34],[1,3,48],[1,4,20],[2,3,88],[2,4,45],[3,4,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,56],[0,3,87],[0,4,34],[1,3,48],[1,4,20],[2,3,88],[2,4,45],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,56],[0,3,87],[0,4,34],[1,3,48],[1,4,20],[2,3,88],[2,4,45],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,56],[0,3,87],[0,4,34],[1,3,48],[1,4,20],[2,3,88],[2,4,45],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20, w=20\",\"Add (0,4)=34, w=54\",\"Add (2,4)=45, w=99\",\"Add (3,4)=45, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,56],[0,3,87],[0,4,34],[1,3,48],[1,4,20],[2,3,88],[2,4,45],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20 Succeeded, w=20\",\"Add (0,4)=34 Succeeded, w=54\",\"Add (2,4)=45 Succeeded, w=99\",\"Add (3,4)=45 Succeeded, w=144\",\"Add (1,3)=48 Failed, w=144\",\"Add (0,2)=56 Failed, w=144\",\"Add (0,1)=83 Failed, w=144\",\"Add (0,3)=87 Failed, w=144\",\"Add (2,3)=88 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,56],[0,3,87],[0,4,34],[1,3,48],[1,4,20],[2,3,88],[2,4,45],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(0,4)=34,(2,4)=45,(3,4)=45,(1,3)=48,(0,2)=56,(0,1)=83,(0,3)=87,(2,3)=88]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Find(0)=0, Find(4)=1, Add (0,4)=34 Succeeded, w=54\",\"Find(2)=2, Find(4)=1, Add (2,4)=45 Succeeded, w=99\",\"Find(3)=3, Find(4)=1, Add (3,4)=45 Succeeded, w=144\",\"Find(1)=1, Find(3)=1, Add (1,3)=48 Failed, w=144\",\"Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=144\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=144\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=144\",\"Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,83],[0,2,56],[0,3,87],[0,4,34],[1,3,48],[1,4,20],[2,3,88],[2,4,45],[3,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(0,4)=34,(2,4)=45,(3,4)=45,(1,3)=48,(0,2)=56,(0,1)=83,(0,3)=87,(2,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=34 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=45 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=45 Succeeded, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=48 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,75],[0,2,76],[0,4,46],[1,3,67],[2,3,70],[2,4,11],[3,4,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,76],[0,4,46],[1,3,67],[2,3,70],[2,4,11],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,76],[0,4,46],[1,3,67],[2,3,70],[2,4,11],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,76],[0,4,46],[1,3,67],[2,3,70],[2,4,11],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (3,4)=33, w=44\",\"Add (0,4)=46, w=90\",\"Add (1,3)=67, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,76],[0,4,46],[1,3,67],[2,3,70],[2,4,11],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (3,4)=33 Succeeded, w=44\",\"Add (0,4)=46 Succeeded, w=90\",\"Add (1,3)=67 Succeeded, w=157\",\"Add (2,3)=70 Failed, w=157\",\"Add (0,1)=75 Failed, w=157\",\"Add (0,2)=76 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,76],[0,4,46],[1,3,67],[2,3,70],[2,4,11],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(3,4)=33,(0,4)=46,(1,3)=67,(2,3)=70,(0,1)=75,(0,2)=76]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=2, Add (3,4)=33 Succeeded, w=44\",\"Find(0)=0, Find(4)=2, Add (0,4)=46 Succeeded, w=90\",\"Find(1)=1, Find(3)=2, Add (1,3)=67 Succeeded, w=157\",\"Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=157\",\"Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=157\",\"Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,2,76],[0,4,46],[1,3,67],[2,3,70],[2,4,11],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(3,4)=33,(0,4)=46,(1,3)=67,(2,3)=70,(0,1)=75,(0,2)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=33 Succeeded, w=44\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=46 Succeeded, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=67 Succeeded, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=70 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=75 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,55],[0,2,54],[0,3,98],[0,4,57],[0,6,55],[0,7,5],[1,2,63],[1,5,49],[1,6,19],[1,7,59],[2,3,65],[2,4,42],[2,5,77],[2,6,19],[2,7,31],[3,4,62],[3,6,35],[3,7,45],[4,5,78],[4,7,52],[5,6,9],[5,7,21],[6,7,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,54],[0,3,98],[0,4,57],[0,6,55],[0,7,5],[1,2,63],[1,5,49],[1,6,19],[1,7,59],[2,3,65],[2,4,42],[2,5,77],[2,6,19],[2,7,31],[3,4,62],[3,6,35],[3,7,45],[4,5,78],[4,7,52],[5,6,9],[5,7,21],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,54],[0,3,98],[0,4,57],[0,6,55],[0,7,5],[1,2,63],[1,5,49],[1,6,19],[1,7,59],[2,3,65],[2,4,42],[2,5,77],[2,6,19],[2,7,31],[3,4,62],[3,6,35],[3,7,45],[4,5,78],[4,7,52],[5,6,9],[5,7,21],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (5,7)\",\"Add (3,6)\",\"Add (2,4)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,54],[0,3,98],[0,4,57],[0,6,55],[0,7,5],[1,2,63],[1,5,49],[1,6,19],[1,7,59],[2,3,65],[2,4,42],[2,5,77],[2,6,19],[2,7,31],[3,4,62],[3,6,35],[3,7,45],[4,5,78],[4,7,52],[5,6,9],[5,7,21],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=5, w=5\",\"Add (5,6)=9, w=14\",\"Add (1,6)=19, w=33\",\"Add (2,6)=19, w=52\",\"Add (5,7)=21, w=73\",\"Add (3,6)=35, w=108\",\"Add (2,4)=42, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,54],[0,3,98],[0,4,57],[0,6,55],[0,7,5],[1,2,63],[1,5,49],[1,6,19],[1,7,59],[2,3,65],[2,4,42],[2,5,77],[2,6,19],[2,7,31],[3,4,62],[3,6,35],[3,7,45],[4,5,78],[4,7,52],[5,6,9],[5,7,21],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=5 Succeeded, w=5\",\"Add (5,6)=9 Succeeded, w=14\",\"Add (1,6)=19 Succeeded, w=33\",\"Add (2,6)=19 Succeeded, w=52\",\"Add (5,7)=21 Succeeded, w=73\",\"Add (6,7)=23 Failed, w=73\",\"Add (2,7)=31 Failed, w=73\",\"Add (3,6)=35 Succeeded, w=108\",\"Add (2,4)=42 Succeeded, w=150\",\"Add (3,7)=45 Failed, w=150\",\"Add (1,5)=49 Failed, w=150\",\"Add (4,7)=52 Failed, w=150\",\"Add (0,2)=54 Failed, w=150\",\"Add (0,1)=55 Failed, w=150\",\"Add (0,6)=55 Failed, w=150\",\"Add (0,4)=57 Failed, w=150\",\"Add (1,7)=59 Failed, w=150\",\"Add (3,4)=62 Failed, w=150\",\"Add (1,2)=63 Failed, w=150\",\"Add (2,3)=65 Failed, w=150\",\"Add (2,5)=77 Failed, w=150\",\"Add (4,5)=78 Failed, w=150\",\"Add (0,3)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,54],[0,3,98],[0,4,57],[0,6,55],[0,7,5],[1,2,63],[1,5,49],[1,6,19],[1,7,59],[2,3,65],[2,4,42],[2,5,77],[2,6,19],[2,7,31],[3,4,62],[3,6,35],[3,7,45],[4,5,78],[4,7,52],[5,6,9],[5,7,21],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=5,(5,6)=9,(1,6)=19,(2,6)=19,(5,7)=21,(6,7)=23,(2,7)=31,(3,6)=35,(2,4)=42,(3,7)=45,(1,5)=49,(4,7)=52,(0,2)=54,(0,1)=55,(0,6)=55,(0,4)=57,(1,7)=59,(3,4)=62,(1,2)=63,(2,3)=65,(2,5)=77,(4,5)=78,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=5 Succeeded, w=5\",\"Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=14\",\"Find(1)=1, Find(6)=5, Add (1,6)=19 Succeeded, w=33\",\"Find(2)=2, Find(6)=5, Add (2,6)=19 Succeeded, w=52\",\"Find(5)=5, Find(7)=0, Add (5,7)=21 Succeeded, w=73\",\"Find(6)=5, Find(7)=5, Add (6,7)=23 Failed, w=73\",\"Find(2)=5, Find(7)=5, Add (2,7)=31 Failed, w=73\",\"Find(3)=3, Find(6)=5, Add (3,6)=35 Succeeded, w=108\",\"Find(2)=5, Find(4)=4, Add (2,4)=42 Succeeded, w=150\",\"Find(3)=5, Find(7)=5, Add (3,7)=45 Failed, w=150\",\"Find(1)=5, Find(5)=5, Add (1,5)=49 Failed, w=150\",\"Find(4)=5, Find(7)=5, Add (4,7)=52 Failed, w=150\",\"Find(0)=5, Find(2)=5, Add (0,2)=54 Failed, w=150\",\"Find(0)=5, Find(1)=5, Add (0,1)=55 Failed, w=150\",\"Find(0)=5, Find(6)=5, Add (0,6)=55 Failed, w=150\",\"Find(0)=5, Find(4)=5, Add (0,4)=57 Failed, w=150\",\"Find(1)=5, Find(7)=5, Add (1,7)=59 Failed, w=150\",\"Find(3)=5, Find(4)=5, Add (3,4)=62 Failed, w=150\",\"Find(1)=5, Find(2)=5, Add (1,2)=63 Failed, w=150\",\"Find(2)=5, Find(3)=5, Add (2,3)=65 Failed, w=150\",\"Find(2)=5, Find(5)=5, Add (2,5)=77 Failed, w=150\",\"Find(4)=5, Find(5)=5, Add (4,5)=78 Failed, w=150\",\"Find(0)=5, Find(3)=5, Add (0,3)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,54],[0,3,98],[0,4,57],[0,6,55],[0,7,5],[1,2,63],[1,5,49],[1,6,19],[1,7,59],[2,3,65],[2,4,42],[2,5,77],[2,6,19],[2,7,31],[3,4,62],[3,6,35],[3,7,45],[4,5,78],[4,7,52],[5,6,9],[5,7,21],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=5,(5,6)=9,(1,6)=19,(2,6)=19,(5,7)=21,(6,7)=23,(2,7)=31,(3,6)=35,(2,4)=42,(3,7)=45,(1,5)=49,(4,7)=52,(0,2)=54,(0,1)=55,(0,6)=55,(0,4)=57,(1,7)=59,(3,4)=62,(1,2)=63,(2,3)=65,(2,5)=77,(4,5)=78,(0,3)=98]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 0}, Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 0}, Find(1)=1, Find(6)=5, Add (1,6)=19 Succeeded, w=33\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 0}, Find(2)=2, Find(6)=5, Add (2,6)=19 Succeeded, w=52\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=21 Succeeded, w=73\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=23 Failed, w=73\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=31 Failed, w=73\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(3)=3, Find(6)=5, Add (3,6)=35 Succeeded, w=108\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(4)=4, Add (2,4)=42 Succeeded, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=45 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=49 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=52 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=5, Add (0,2)=54 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=5, Add (0,1)=55 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(6)=5, Add (0,6)=55 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=57 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=59 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(4)=5, Add (3,4)=62 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=63 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=65 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=77 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=78 Failed, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,48],[0,3,28],[1,2,63],[2,3,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,28],[1,2,63],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,28],[1,2,63],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,28],[1,2,63],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=28, w=28\",\"Add (0,1)=48, w=76\",\"Add (2,3)=60, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,28],[1,2,63],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=28 Succeeded, w=28\",\"Add (0,1)=48 Succeeded, w=76\",\"Add (2,3)=60 Succeeded, w=136\",\"Add (1,2)=63 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,28],[1,2,63],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=28,(0,1)=48,(2,3)=60,(1,2)=63]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=28\",\"Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=76\",\"Find(2)=2, Find(3)=0, Add (2,3)=60 Succeeded, w=136\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,28],[1,2,63],[2,3,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=28,(0,1)=48,(2,3)=60,(1,2)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=48 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=60 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,79],[1,2,77],[1,3,80],[2,3,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,2,77],[1,3,80],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,2,77],[1,3,80],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,2,77],[1,3,80],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=50, w=50\",\"Add (1,2)=77, w=127\",\"Add (0,2)=79, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,2,77],[1,3,80],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=50 Succeeded, w=50\",\"Add (1,2)=77 Succeeded, w=127\",\"Add (0,2)=79 Succeeded, w=206\",\"Add (1,3)=80 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,2,77],[1,3,80],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=50,(1,2)=77,(0,2)=79,(1,3)=80]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=50 Succeeded, w=50\",\"Find(1)=1, Find(2)=2, Add (1,2)=77 Succeeded, w=127\",\"Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=206\",\"Find(1)=2, Find(3)=2, Add (1,3)=80 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[1,2,77],[1,3,80],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=50,(1,2)=77,(0,2)=79,(1,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=50 Succeeded, w=50\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=77 Succeeded, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=79 Succeeded, w=206\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=80 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,17],[0,3,53],[0,4,66],[0,6,54],[1,2,51],[1,3,24],[1,4,93],[1,5,47],[1,6,99],[1,7,80],[2,3,3],[2,4,77],[2,5,72],[2,6,40],[2,7,44],[3,4,22],[3,5,12],[3,6,16],[3,7,97],[4,6,27],[4,7,17],[5,7,56],[6,7,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,53],[0,4,66],[0,6,54],[1,2,51],[1,3,24],[1,4,93],[1,5,47],[1,6,99],[1,7,80],[2,3,3],[2,4,77],[2,5,72],[2,6,40],[2,7,44],[3,4,22],[3,5,12],[3,6,16],[3,7,97],[4,6,27],[4,7,17],[5,7,56],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,53],[0,4,66],[0,6,54],[1,2,51],[1,3,24],[1,4,93],[1,5,47],[1,6,99],[1,7,80],[2,3,3],[2,4,77],[2,5,72],[2,6,40],[2,7,44],[3,4,22],[3,5,12],[3,6,16],[3,7,97],[4,6,27],[4,7,17],[5,7,56],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,5)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (4,7)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,53],[0,4,66],[0,6,54],[1,2,51],[1,3,24],[1,4,93],[1,5,47],[1,6,99],[1,7,80],[2,3,3],[2,4,77],[2,5,72],[2,6,40],[2,7,44],[3,4,22],[3,5,12],[3,6,16],[3,7,97],[4,6,27],[4,7,17],[5,7,56],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (3,5)=12, w=15\",\"Add (3,6)=16, w=31\",\"Add (0,2)=17, w=48\",\"Add (4,7)=17, w=65\",\"Add (3,4)=22, w=87\",\"Add (1,3)=24, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,53],[0,4,66],[0,6,54],[1,2,51],[1,3,24],[1,4,93],[1,5,47],[1,6,99],[1,7,80],[2,3,3],[2,4,77],[2,5,72],[2,6,40],[2,7,44],[3,4,22],[3,5,12],[3,6,16],[3,7,97],[4,6,27],[4,7,17],[5,7,56],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (3,5)=12 Succeeded, w=15\",\"Add (3,6)=16 Succeeded, w=31\",\"Add (0,2)=17 Succeeded, w=48\",\"Add (4,7)=17 Succeeded, w=65\",\"Add (3,4)=22 Succeeded, w=87\",\"Add (1,3)=24 Succeeded, w=111\",\"Add (4,6)=27 Failed, w=111\",\"Add (2,6)=40 Failed, w=111\",\"Add (2,7)=44 Failed, w=111\",\"Add (1,5)=47 Failed, w=111\",\"Add (1,2)=51 Failed, w=111\",\"Add (0,3)=53 Failed, w=111\",\"Add (0,6)=54 Failed, w=111\",\"Add (5,7)=56 Failed, w=111\",\"Add (0,4)=66 Failed, w=111\",\"Add (2,5)=72 Failed, w=111\",\"Add (2,4)=77 Failed, w=111\",\"Add (1,7)=80 Failed, w=111\",\"Add (6,7)=80 Failed, w=111\",\"Add (1,4)=93 Failed, w=111\",\"Add (3,7)=97 Failed, w=111\",\"Add (1,6)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,53],[0,4,66],[0,6,54],[1,2,51],[1,3,24],[1,4,93],[1,5,47],[1,6,99],[1,7,80],[2,3,3],[2,4,77],[2,5,72],[2,6,40],[2,7,44],[3,4,22],[3,5,12],[3,6,16],[3,7,97],[4,6,27],[4,7,17],[5,7,56],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(3,5)=12,(3,6)=16,(0,2)=17,(4,7)=17,(3,4)=22,(1,3)=24,(4,6)=27,(2,6)=40,(2,7)=44,(1,5)=47,(1,2)=51,(0,3)=53,(0,6)=54,(5,7)=56,(0,4)=66,(2,5)=72,(2,4)=77,(1,7)=80,(6,7)=80,(1,4)=93,(3,7)=97,(1,6)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(3)=2, Find(5)=5, Add (3,5)=12 Succeeded, w=15\",\"Find(3)=2, Find(6)=6, Add (3,6)=16 Succeeded, w=31\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=48\",\"Find(4)=4, Find(7)=7, Add (4,7)=17 Succeeded, w=65\",\"Find(3)=2, Find(4)=4, Add (3,4)=22 Succeeded, w=87\",\"Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=111\",\"Find(4)=2, Find(6)=2, Add (4,6)=27 Failed, w=111\",\"Find(2)=2, Find(6)=2, Add (2,6)=40 Failed, w=111\",\"Find(2)=2, Find(7)=2, Add (2,7)=44 Failed, w=111\",\"Find(1)=2, Find(5)=2, Add (1,5)=47 Failed, w=111\",\"Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=111\",\"Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=111\",\"Find(0)=2, Find(6)=2, Add (0,6)=54 Failed, w=111\",\"Find(5)=2, Find(7)=2, Add (5,7)=56 Failed, w=111\",\"Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=111\",\"Find(2)=2, Find(5)=2, Add (2,5)=72 Failed, w=111\",\"Find(2)=2, Find(4)=2, Add (2,4)=77 Failed, w=111\",\"Find(1)=2, Find(7)=2, Add (1,7)=80 Failed, w=111\",\"Find(6)=2, Find(7)=2, Add (6,7)=80 Failed, w=111\",\"Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=111\",\"Find(3)=2, Find(7)=2, Add (3,7)=97 Failed, w=111\",\"Find(1)=2, Find(6)=2, Add (1,6)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,17],[0,3,53],[0,4,66],[0,6,54],[1,2,51],[1,3,24],[1,4,93],[1,5,47],[1,6,99],[1,7,80],[2,3,3],[2,4,77],[2,5,72],[2,6,40],[2,7,44],[3,4,22],[3,5,12],[3,6,16],[3,7,97],[4,6,27],[4,7,17],[5,7,56],[6,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(3,5)=12,(3,6)=16,(0,2)=17,(4,7)=17,(3,4)=22,(1,3)=24,(4,6)=27,(2,6)=40,(2,7)=44,(1,5)=47,(1,2)=51,(0,3)=53,(0,6)=54,(5,7)=56,(0,4)=66,(2,5)=72,(2,4)=77,(1,7)=80,(6,7)=80,(1,4)=93,(3,7)=97,(1,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=5, Add (3,5)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 7}, Find(3)=2, Find(6)=6, Add (3,6)=16 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=48\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=17 Succeeded, w=65\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(3)=2, Find(4)=4, Add (3,4)=22 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(1)=1, Find(3)=2, Add (1,3)=24 Succeeded, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(4)=2, Find(6)=2, Add (4,6)=27 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(2)=2, Find(6)=2, Add (2,6)=40 Failed, w=111\",\"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)=44 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=47 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=51 Failed, w=111\",\"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)=53 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=54 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=56 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=72 Failed, w=111\",\"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)=77 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=80 Failed, w=111\",\"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)=80 Failed, w=111\",\"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)=93 Failed, w=111\",\"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)=97 Failed, w=111\",\"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)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,89],[0,3,96],[0,5,13],[1,3,55],[1,4,48],[1,5,97],[2,3,1],[2,4,92],[2,5,58],[3,4,81],[3,5,99],[4,5,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,96],[0,5,13],[1,3,55],[1,4,48],[1,5,97],[2,3,1],[2,4,92],[2,5,58],[3,4,81],[3,5,99],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,96],[0,5,13],[1,3,55],[1,4,48],[1,5,97],[2,3,1],[2,4,92],[2,5,58],[3,4,81],[3,5,99],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,96],[0,5,13],[1,3,55],[1,4,48],[1,5,97],[2,3,1],[2,4,92],[2,5,58],[3,4,81],[3,5,99],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,5)=13, w=14\",\"Add (4,5)=15, w=29\",\"Add (1,4)=48, w=77\",\"Add (1,3)=55, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,96],[0,5,13],[1,3,55],[1,4,48],[1,5,97],[2,3,1],[2,4,92],[2,5,58],[3,4,81],[3,5,99],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,5)=13 Succeeded, w=14\",\"Add (4,5)=15 Succeeded, w=29\",\"Add (1,4)=48 Succeeded, w=77\",\"Add (1,3)=55 Succeeded, w=132\",\"Add (2,5)=58 Failed, w=132\",\"Add (3,4)=81 Failed, w=132\",\"Add (0,1)=89 Failed, w=132\",\"Add (2,4)=92 Failed, w=132\",\"Add (0,3)=96 Failed, w=132\",\"Add (1,5)=97 Failed, w=132\",\"Add (3,5)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,96],[0,5,13],[1,3,55],[1,4,48],[1,5,97],[2,3,1],[2,4,92],[2,5,58],[3,4,81],[3,5,99],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,5)=13,(4,5)=15,(1,4)=48,(1,3)=55,(2,5)=58,(3,4)=81,(0,1)=89,(2,4)=92,(0,3)=96,(1,5)=97,(3,5)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=14\",\"Find(4)=4, Find(5)=0, Add (4,5)=15 Succeeded, w=29\",\"Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=77\",\"Find(1)=0, Find(3)=2, Add (1,3)=55 Succeeded, w=132\",\"Find(2)=0, Find(5)=0, Add (2,5)=58 Failed, w=132\",\"Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=132\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=132\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=132\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=132\",\"Find(1)=0, Find(5)=0, Add (1,5)=97 Failed, w=132\",\"Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,3,96],[0,5,13],[1,3,55],[1,4,48],[1,5,97],[2,3,1],[2,4,92],[2,5,58],[3,4,81],[3,5,99],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,5)=13,(4,5)=15,(1,4)=48,(1,3)=55,(2,5)=58,(3,4)=81,(0,1)=89,(2,4)=92,(0,3)=96,(1,5)=97,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=48 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(3)=2, Add (1,3)=55 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=58 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=97 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,91],[0,3,58],[0,5,87],[0,7,71],[1,2,75],[1,3,53],[1,4,91],[1,7,12],[2,3,37],[2,4,81],[2,5,73],[2,6,30],[2,7,10],[3,4,47],[3,5,61],[3,6,99],[4,5,91],[4,7,94],[5,6,0],[5,7,98],[6,7,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,58],[0,5,87],[0,7,71],[1,2,75],[1,3,53],[1,4,91],[1,7,12],[2,3,37],[2,4,81],[2,5,73],[2,6,30],[2,7,10],[3,4,47],[3,5,61],[3,6,99],[4,5,91],[4,7,94],[5,6,0],[5,7,98],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,58],[0,5,87],[0,7,71],[1,2,75],[1,3,53],[1,4,91],[1,7,12],[2,3,37],[2,4,81],[2,5,73],[2,6,30],[2,7,10],[3,4,47],[3,5,61],[3,6,99],[4,5,91],[4,7,94],[5,6,0],[5,7,98],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,7)\",\"Add (1,7)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,58],[0,5,87],[0,7,71],[1,2,75],[1,3,53],[1,4,91],[1,7,12],[2,3,37],[2,4,81],[2,5,73],[2,6,30],[2,7,10],[3,4,47],[3,5,61],[3,6,99],[4,5,91],[4,7,94],[5,6,0],[5,7,98],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (2,7)=10, w=10\",\"Add (1,7)=12, w=22\",\"Add (2,6)=30, w=52\",\"Add (2,3)=37, w=89\",\"Add (3,4)=47, w=136\",\"Add (0,3)=58, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,58],[0,5,87],[0,7,71],[1,2,75],[1,3,53],[1,4,91],[1,7,12],[2,3,37],[2,4,81],[2,5,73],[2,6,30],[2,7,10],[3,4,47],[3,5,61],[3,6,99],[4,5,91],[4,7,94],[5,6,0],[5,7,98],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (2,7)=10 Succeeded, w=10\",\"Add (1,7)=12 Succeeded, w=22\",\"Add (2,6)=30 Succeeded, w=52\",\"Add (2,3)=37 Succeeded, w=89\",\"Add (6,7)=45 Failed, w=89\",\"Add (3,4)=47 Succeeded, w=136\",\"Add (1,3)=53 Failed, w=136\",\"Add (0,3)=58 Succeeded, w=194\",\"Add (3,5)=61 Failed, w=194\",\"Add (0,7)=71 Failed, w=194\",\"Add (2,5)=73 Failed, w=194\",\"Add (1,2)=75 Failed, w=194\",\"Add (2,4)=81 Failed, w=194\",\"Add (0,5)=87 Failed, w=194\",\"Add (0,1)=91 Failed, w=194\",\"Add (1,4)=91 Failed, w=194\",\"Add (4,5)=91 Failed, w=194\",\"Add (4,7)=94 Failed, w=194\",\"Add (5,7)=98 Failed, w=194\",\"Add (3,6)=99 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,58],[0,5,87],[0,7,71],[1,2,75],[1,3,53],[1,4,91],[1,7,12],[2,3,37],[2,4,81],[2,5,73],[2,6,30],[2,7,10],[3,4,47],[3,5,61],[3,6,99],[4,5,91],[4,7,94],[5,6,0],[5,7,98],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(2,7)=10,(1,7)=12,(2,6)=30,(2,3)=37,(6,7)=45,(3,4)=47,(1,3)=53,(0,3)=58,(3,5)=61,(0,7)=71,(2,5)=73,(1,2)=75,(2,4)=81,(0,5)=87,(0,1)=91,(1,4)=91,(4,5)=91,(4,7)=94,(5,7)=98,(3,6)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(7)=7, Add (2,7)=10 Succeeded, w=10\",\"Find(1)=1, Find(7)=2, Add (1,7)=12 Succeeded, w=22\",\"Find(2)=2, Find(6)=5, Add (2,6)=30 Succeeded, w=52\",\"Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=89\",\"Find(6)=2, Find(7)=2, Add (6,7)=45 Failed, w=89\",\"Find(3)=2, Find(4)=4, Add (3,4)=47 Succeeded, w=136\",\"Find(1)=2, Find(3)=2, Add (1,3)=53 Failed, w=136\",\"Find(0)=0, Find(3)=2, Add (0,3)=58 Succeeded, w=194\",\"Find(3)=2, Find(5)=2, Add (3,5)=61 Failed, w=194\",\"Find(0)=2, Find(7)=2, Add (0,7)=71 Failed, w=194\",\"Find(2)=2, Find(5)=2, Add (2,5)=73 Failed, w=194\",\"Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=194\",\"Find(2)=2, Find(4)=2, Add (2,4)=81 Failed, w=194\",\"Find(0)=2, Find(5)=2, Add (0,5)=87 Failed, w=194\",\"Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=194\",\"Find(1)=2, Find(4)=2, Add (1,4)=91 Failed, w=194\",\"Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=194\",\"Find(4)=2, Find(7)=2, Add (4,7)=94 Failed, w=194\",\"Find(5)=2, Find(7)=2, Add (5,7)=98 Failed, w=194\",\"Find(3)=2, Find(6)=2, Add (3,6)=99 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,3,58],[0,5,87],[0,7,71],[1,2,75],[1,3,53],[1,4,91],[1,7,12],[2,3,37],[2,4,81],[2,5,73],[2,6,30],[2,7,10],[3,4,47],[3,5,61],[3,6,99],[4,5,91],[4,7,94],[5,6,0],[5,7,98],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(2,7)=10,(1,7)=12,(2,6)=30,(2,3)=37,(6,7)=45,(3,4)=47,(1,3)=53,(0,3)=58,(3,5)=61,(0,7)=71,(2,5)=73,(1,2)=75,(2,4)=81,(0,5)=87,(0,1)=91,(1,4)=91,(4,5)=91,(4,7)=94,(5,7)=98,(3,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 5, 7: 2}, Find(2)=2, Find(6)=5, Add (2,6)=30 Succeeded, w=52\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 5, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=45 Failed, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=4, Add (3,4)=47 Succeeded, w=136\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=53 Failed, w=136\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(3)=2, Add (0,3)=58 Succeeded, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=61 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=71 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=73 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=194\",\"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)=81 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=87 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=91 Failed, w=194\",\"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)=91 Failed, w=194\",\"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=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=94 Failed, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=98 Failed, w=194\",\"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)=99 Failed, w=194\"],\"Answer\":194}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,77],[0,2,82],[0,3,50],[0,4,72],[0,5,65],[1,3,66],[1,4,13],[1,5,50],[2,3,57],[2,4,11],[2,5,8],[3,4,2],[4,5,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,82],[0,3,50],[0,4,72],[0,5,65],[1,3,66],[1,4,13],[1,5,50],[2,3,57],[2,4,11],[2,5,8],[3,4,2],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,82],[0,3,50],[0,4,72],[0,5,65],[1,3,66],[1,4,13],[1,5,50],[2,3,57],[2,4,11],[2,5,8],[3,4,2],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,82],[0,3,50],[0,4,72],[0,5,65],[1,3,66],[1,4,13],[1,5,50],[2,3,57],[2,4,11],[2,5,8],[3,4,2],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (2,5)=8, w=10\",\"Add (2,4)=11, w=21\",\"Add (1,4)=13, w=34\",\"Add (0,3)=50, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,82],[0,3,50],[0,4,72],[0,5,65],[1,3,66],[1,4,13],[1,5,50],[2,3,57],[2,4,11],[2,5,8],[3,4,2],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (2,5)=8 Succeeded, w=10\",\"Add (2,4)=11 Succeeded, w=21\",\"Add (1,4)=13 Succeeded, w=34\",\"Add (4,5)=26 Failed, w=34\",\"Add (0,3)=50 Succeeded, w=84\",\"Add (1,5)=50 Failed, w=84\",\"Add (2,3)=57 Failed, w=84\",\"Add (0,5)=65 Failed, w=84\",\"Add (1,3)=66 Failed, w=84\",\"Add (0,4)=72 Failed, w=84\",\"Add (0,1)=77 Failed, w=84\",\"Add (0,2)=82 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,82],[0,3,50],[0,4,72],[0,5,65],[1,3,66],[1,4,13],[1,5,50],[2,3,57],[2,4,11],[2,5,8],[3,4,2],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(2,5)=8,(2,4)=11,(1,4)=13,(4,5)=26,(0,3)=50,(1,5)=50,(2,3)=57,(0,5)=65,(1,3)=66,(0,4)=72,(0,1)=77,(0,2)=82]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=10\",\"Find(2)=2, Find(4)=3, Add (2,4)=11 Succeeded, w=21\",\"Find(1)=1, Find(4)=2, Add (1,4)=13 Succeeded, w=34\",\"Find(4)=2, Find(5)=2, Add (4,5)=26 Failed, w=34\",\"Find(0)=0, Find(3)=2, Add (0,3)=50 Succeeded, w=84\",\"Find(1)=2, Find(5)=2, Add (1,5)=50 Failed, w=84\",\"Find(2)=2, Find(3)=2, Add (2,3)=57 Failed, w=84\",\"Find(0)=2, Find(5)=2, Add (0,5)=65 Failed, w=84\",\"Find(1)=2, Find(3)=2, Add (1,3)=66 Failed, w=84\",\"Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=84\",\"Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=84\",\"Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,82],[0,3,50],[0,4,72],[0,5,65],[1,3,66],[1,4,13],[1,5,50],[2,3,57],[2,4,11],[2,5,8],[3,4,2],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(2,5)=8,(2,4)=11,(1,4)=13,(4,5)=26,(0,3)=50,(1,5)=50,(2,3)=57,(0,5)=65,(1,3)=66,(0,4)=72,(0,1)=77,(0,2)=82]\",\"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: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2}, Find(2)=2, Find(4)=3, Add (2,4)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=13 Succeeded, w=34\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=26 Failed, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=50 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=50 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=57 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=65 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=66 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,61],[0,2,81],[0,3,3],[0,4,26],[0,5,34],[0,6,16],[0,7,62],[1,2,52],[1,3,34],[1,4,39],[1,5,86],[1,6,66],[1,7,86],[2,3,28],[2,4,19],[2,5,77],[2,6,13],[2,7,12],[3,4,18],[3,5,56],[3,6,87],[3,7,46],[4,5,6],[4,6,84],[4,7,58],[5,6,58],[5,7,92],[6,7,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,81],[0,3,3],[0,4,26],[0,5,34],[0,6,16],[0,7,62],[1,2,52],[1,3,34],[1,4,39],[1,5,86],[1,6,66],[1,7,86],[2,3,28],[2,4,19],[2,5,77],[2,6,13],[2,7,12],[3,4,18],[3,5,56],[3,6,87],[3,7,46],[4,5,6],[4,6,84],[4,7,58],[5,6,58],[5,7,92],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,81],[0,3,3],[0,4,26],[0,5,34],[0,6,16],[0,7,62],[1,2,52],[1,3,34],[1,4,39],[1,5,86],[1,6,66],[1,7,86],[2,3,28],[2,4,19],[2,5,77],[2,6,13],[2,7,12],[3,4,18],[3,5,56],[3,6,87],[3,7,46],[4,5,6],[4,6,84],[4,7,58],[5,6,58],[5,7,92],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (2,7)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,81],[0,3,3],[0,4,26],[0,5,34],[0,6,16],[0,7,62],[1,2,52],[1,3,34],[1,4,39],[1,5,86],[1,6,66],[1,7,86],[2,3,28],[2,4,19],[2,5,77],[2,6,13],[2,7,12],[3,4,18],[3,5,56],[3,6,87],[3,7,46],[4,5,6],[4,6,84],[4,7,58],[5,6,58],[5,7,92],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (4,5)=6, w=9\",\"Add (2,7)=12, w=21\",\"Add (2,6)=13, w=34\",\"Add (0,6)=16, w=50\",\"Add (3,4)=18, w=68\",\"Add (1,3)=34, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,81],[0,3,3],[0,4,26],[0,5,34],[0,6,16],[0,7,62],[1,2,52],[1,3,34],[1,4,39],[1,5,86],[1,6,66],[1,7,86],[2,3,28],[2,4,19],[2,5,77],[2,6,13],[2,7,12],[3,4,18],[3,5,56],[3,6,87],[3,7,46],[4,5,6],[4,6,84],[4,7,58],[5,6,58],[5,7,92],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (4,5)=6 Succeeded, w=9\",\"Add (2,7)=12 Succeeded, w=21\",\"Add (2,6)=13 Succeeded, w=34\",\"Add (6,7)=13 Failed, w=34\",\"Add (0,6)=16 Succeeded, w=50\",\"Add (3,4)=18 Succeeded, w=68\",\"Add (2,4)=19 Failed, w=68\",\"Add (0,4)=26 Failed, w=68\",\"Add (2,3)=28 Failed, w=68\",\"Add (0,5)=34 Failed, w=68\",\"Add (1,3)=34 Succeeded, w=102\",\"Add (1,4)=39 Failed, w=102\",\"Add (3,7)=46 Failed, w=102\",\"Add (1,2)=52 Failed, w=102\",\"Add (3,5)=56 Failed, w=102\",\"Add (4,7)=58 Failed, w=102\",\"Add (5,6)=58 Failed, w=102\",\"Add (0,1)=61 Failed, w=102\",\"Add (0,7)=62 Failed, w=102\",\"Add (1,6)=66 Failed, w=102\",\"Add (2,5)=77 Failed, w=102\",\"Add (0,2)=81 Failed, w=102\",\"Add (4,6)=84 Failed, w=102\",\"Add (1,5)=86 Failed, w=102\",\"Add (1,7)=86 Failed, w=102\",\"Add (3,6)=87 Failed, w=102\",\"Add (5,7)=92 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,81],[0,3,3],[0,4,26],[0,5,34],[0,6,16],[0,7,62],[1,2,52],[1,3,34],[1,4,39],[1,5,86],[1,6,66],[1,7,86],[2,3,28],[2,4,19],[2,5,77],[2,6,13],[2,7,12],[3,4,18],[3,5,56],[3,6,87],[3,7,46],[4,5,6],[4,6,84],[4,7,58],[5,6,58],[5,7,92],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(4,5)=6,(2,7)=12,(2,6)=13,(6,7)=13,(0,6)=16,(3,4)=18,(2,4)=19,(0,4)=26,(2,3)=28,(0,5)=34,(1,3)=34,(1,4)=39,(3,7)=46,(1,2)=52,(3,5)=56,(4,7)=58,(5,6)=58,(0,1)=61,(0,7)=62,(1,6)=66,(2,5)=77,(0,2)=81,(4,6)=84,(1,5)=86,(1,7)=86,(3,6)=87,(5,7)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=9\",\"Find(2)=2, Find(7)=7, Add (2,7)=12 Succeeded, w=21\",\"Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=34\",\"Find(6)=2, Find(7)=2, Add (6,7)=13 Failed, w=34\",\"Find(0)=0, Find(6)=2, Add (0,6)=16 Succeeded, w=50\",\"Find(3)=0, Find(4)=4, Add (3,4)=18 Succeeded, w=68\",\"Find(2)=0, Find(4)=0, Add (2,4)=19 Failed, w=68\",\"Find(0)=0, Find(4)=0, Add (0,4)=26 Failed, w=68\",\"Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=68\",\"Find(0)=0, Find(5)=0, Add (0,5)=34 Failed, w=68\",\"Find(1)=1, Find(3)=0, Add (1,3)=34 Succeeded, w=102\",\"Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=102\",\"Find(3)=0, Find(7)=0, Add (3,7)=46 Failed, w=102\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=102\",\"Find(3)=0, Find(5)=0, Add (3,5)=56 Failed, w=102\",\"Find(4)=0, Find(7)=0, Add (4,7)=58 Failed, w=102\",\"Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=102\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=102\",\"Find(0)=0, Find(7)=0, Add (0,7)=62 Failed, w=102\",\"Find(1)=0, Find(6)=0, Add (1,6)=66 Failed, w=102\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=102\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=102\",\"Find(4)=0, Find(6)=0, Add (4,6)=84 Failed, w=102\",\"Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=102\",\"Find(1)=0, Find(7)=0, Add (1,7)=86 Failed, w=102\",\"Find(3)=0, Find(6)=0, Add (3,6)=87 Failed, w=102\",\"Find(5)=0, Find(7)=0, Add (5,7)=92 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,61],[0,2,81],[0,3,3],[0,4,26],[0,5,34],[0,6,16],[0,7,62],[1,2,52],[1,3,34],[1,4,39],[1,5,86],[1,6,66],[1,7,86],[2,3,28],[2,4,19],[2,5,77],[2,6,13],[2,7,12],[3,4,18],[3,5,56],[3,6,87],[3,7,46],[4,5,6],[4,6,84],[4,7,58],[5,6,58],[5,7,92],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(4,5)=6,(2,7)=12,(2,6)=13,(6,7)=13,(0,6)=16,(3,4)=18,(2,4)=19,(0,4)=26,(2,3)=28,(0,5)=34,(1,3)=34,(1,4)=39,(3,7)=46,(1,2)=52,(3,5)=56,(4,7)=58,(5,6)=58,(0,1)=61,(0,7)=62,(1,6)=66,(2,5)=77,(0,2)=81,(4,6)=84,(1,5)=86,(1,7)=86,(3,6)=87,(5,7)=92]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 2, 7: 2}, Find(2)=2, Find(6)=6, Add (2,6)=13 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=13 Failed, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 2, 7: 2}, Find(0)=0, Find(6)=2, Add (0,6)=16 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 2, 7: 2}, Find(3)=0, Find(4)=4, Add (3,4)=18 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 2, 7: 2}, Find(2)=0, Find(4)=0, Add (2,4)=19 Failed, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 2, 7: 2}, Find(0)=0, Find(4)=0, Add (0,4)=26 Failed, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 2, 7: 2}, Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(0)=0, Find(5)=0, Add (0,5)=34 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(1)=1, Find(3)=0, Add (1,3)=34 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 2}, Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=46 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=56 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=58 Failed, w=102\",\"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)=58 Failed, w=102\",\"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)=61 Failed, w=102\",\"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)=62 Failed, w=102\",\"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)=66 Failed, w=102\",\"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)=77 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=102\",\"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)=84 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=86 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=86 Failed, w=102\",\"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)=87 Failed, w=102\",\"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)=92 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,10],[0,3,47],[1,3,55],[1,4,64],[3,4,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,47],[1,3,55],[1,4,64],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,47],[1,3,55],[1,4,64],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,47],[1,3,55],[1,4,64],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=9, w=9\",\"Add (0,2)=10, w=19\",\"Add (0,3)=47, w=66\",\"Add (1,3)=55, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,47],[1,3,55],[1,4,64],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=9 Succeeded, w=9\",\"Add (0,2)=10 Succeeded, w=19\",\"Add (0,3)=47 Succeeded, w=66\",\"Add (1,3)=55 Succeeded, w=121\",\"Add (1,4)=64 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,47],[1,3,55],[1,4,64],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=9,(0,2)=10,(0,3)=47,(1,3)=55,(1,4)=64]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=19\",\"Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=66\",\"Find(1)=1, Find(3)=0, Add (1,3)=55 Succeeded, w=121\",\"Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,10],[0,3,47],[1,3,55],[1,4,64],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=9,(0,2)=10,(0,3)=47,(1,3)=55,(1,4)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=1, Find(3)=0, Add (1,3)=55 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,50],[0,2,93],[0,3,52],[0,4,32],[1,2,15],[1,3,5],[1,4,100],[2,4,52],[3,4,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,52],[0,4,32],[1,2,15],[1,3,5],[1,4,100],[2,4,52],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,52],[0,4,32],[1,2,15],[1,3,5],[1,4,100],[2,4,52],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,52],[0,4,32],[1,2,15],[1,3,5],[1,4,100],[2,4,52],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (1,2)=15, w=20\",\"Add (0,4)=32, w=52\",\"Add (0,1)=50, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,52],[0,4,32],[1,2,15],[1,3,5],[1,4,100],[2,4,52],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (1,2)=15 Succeeded, w=20\",\"Add (0,4)=32 Succeeded, w=52\",\"Add (0,1)=50 Succeeded, w=102\",\"Add (0,3)=52 Failed, w=102\",\"Add (2,4)=52 Failed, w=102\",\"Add (3,4)=86 Failed, w=102\",\"Add (0,2)=93 Failed, w=102\",\"Add (1,4)=100 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,52],[0,4,32],[1,2,15],[1,3,5],[1,4,100],[2,4,52],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(1,2)=15,(0,4)=32,(0,1)=50,(0,3)=52,(2,4)=52,(3,4)=86,(0,2)=93,(1,4)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=20\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=52\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=102\",\"Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=102\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=102\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=102\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=102\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,52],[0,4,32],[1,2,15],[1,3,5],[1,4,100],[2,4,52],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(1,2)=15,(0,4)=32,(0,1)=50,(0,3)=52,(2,4)=52,(3,4)=86,(0,2)=93,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,5,91],[0,6,14],[0,7,32],[1,5,18],[1,6,36],[1,7,100],[2,4,83],[2,5,14],[2,6,69],[2,7,50],[3,4,38],[3,6,49],[4,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,91],[0,6,14],[0,7,32],[1,5,18],[1,6,36],[1,7,100],[2,4,83],[2,5,14],[2,6,69],[2,7,50],[3,4,38],[3,6,49],[4,6,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,91],[0,6,14],[0,7,32],[1,5,18],[1,6,36],[1,7,100],[2,4,83],[2,5,14],[2,6,69],[2,7,50],[3,4,38],[3,6,49],[4,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (0,7)\",\"Add (1,6)\",\"Add (3,4)\",\"Add (3,6)\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,91],[0,6,14],[0,7,32],[1,5,18],[1,6,36],[1,7,100],[2,4,83],[2,5,14],[2,6,69],[2,7,50],[3,4,38],[3,6,49],[4,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=14, w=14\",\"Add (2,5)=14, w=28\",\"Add (1,5)=18, w=46\",\"Add (0,7)=32, w=78\",\"Add (1,6)=36, w=114\",\"Add (3,4)=38, w=152\",\"Add (3,6)=49, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,91],[0,6,14],[0,7,32],[1,5,18],[1,6,36],[1,7,100],[2,4,83],[2,5,14],[2,6,69],[2,7,50],[3,4,38],[3,6,49],[4,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=14 Succeeded, w=14\",\"Add (2,5)=14 Succeeded, w=28\",\"Add (1,5)=18 Succeeded, w=46\",\"Add (0,7)=32 Succeeded, w=78\",\"Add (1,6)=36 Succeeded, w=114\",\"Add (3,4)=38 Succeeded, w=152\",\"Add (3,6)=49 Succeeded, w=201\",\"Add (2,7)=50 Failed, w=201\",\"Add (2,6)=69 Failed, w=201\",\"Add (4,6)=82 Failed, w=201\",\"Add (2,4)=83 Failed, w=201\",\"Add (0,5)=91 Failed, w=201\",\"Add (1,7)=100 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,91],[0,6,14],[0,7,32],[1,5,18],[1,6,36],[1,7,100],[2,4,83],[2,5,14],[2,6,69],[2,7,50],[3,4,38],[3,6,49],[4,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=14,(2,5)=14,(1,5)=18,(0,7)=32,(1,6)=36,(3,4)=38,(3,6)=49,(2,7)=50,(2,6)=69,(4,6)=82,(2,4)=83,(0,5)=91,(1,7)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=14\",\"Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=28\",\"Find(1)=1, Find(5)=2, Add (1,5)=18 Succeeded, w=46\",\"Find(0)=0, Find(7)=7, Add (0,7)=32 Succeeded, w=78\",\"Find(1)=2, Find(6)=0, Add (1,6)=36 Succeeded, w=114\",\"Find(3)=3, Find(4)=4, Add (3,4)=38 Succeeded, w=152\",\"Find(3)=3, Find(6)=2, Add (3,6)=49 Succeeded, w=201\",\"Find(2)=2, Find(7)=2, Add (2,7)=50 Failed, w=201\",\"Find(2)=2, Find(6)=2, Add (2,6)=69 Failed, w=201\",\"Find(4)=2, Find(6)=2, Add (4,6)=82 Failed, w=201\",\"Find(2)=2, Find(4)=2, Add (2,4)=83 Failed, w=201\",\"Find(0)=2, Find(5)=2, Add (0,5)=91 Failed, w=201\",\"Find(1)=2, Find(7)=2, Add (1,7)=100 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,91],[0,6,14],[0,7,32],[1,5,18],[1,6,36],[1,7,100],[2,4,83],[2,5,14],[2,6,69],[2,7,50],[3,4,38],[3,6,49],[4,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=14,(2,5)=14,(1,5)=18,(0,7)=32,(1,6)=36,(3,4)=38,(3,6)=49,(2,7)=50,(2,6)=69,(4,6)=82,(2,4)=83,(0,5)=91,(1,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 7}, Find(1)=1, Find(5)=2, Add (1,5)=18 Succeeded, w=46\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=32 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0, 7: 0}, Find(1)=2, Find(6)=0, Add (1,6)=36 Succeeded, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2, 6: 0, 7: 0}, Find(3)=3, Find(4)=4, Add (3,4)=38 Succeeded, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 0}, Find(3)=3, Find(6)=2, Add (3,6)=49 Succeeded, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=50 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=69 Failed, w=201\",\"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)=82 Failed, w=201\",\"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)=83 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=91 Failed, w=201\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=100 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,3,68],[1,4,46],[2,3,16],[2,4,38],[3,4,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,68],[1,4,46],[2,3,16],[2,4,38],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,68],[1,4,46],[2,3,16],[2,4,38],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,68],[1,4,46],[2,3,16],[2,4,38],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (0,1)=32, w=48\",\"Add (2,4)=38, w=86\",\"Add (1,4)=46, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,68],[1,4,46],[2,3,16],[2,4,38],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (0,1)=32 Succeeded, w=48\",\"Add (2,4)=38 Succeeded, w=86\",\"Add (1,4)=46 Succeeded, w=132\",\"Add (3,4)=53 Failed, w=132\",\"Add (0,3)=68 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,68],[1,4,46],[2,3,16],[2,4,38],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,1)=32,(2,4)=38,(1,4)=46,(3,4)=53,(0,3)=68]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=48\",\"Find(2)=2, Find(4)=4, Add (2,4)=38 Succeeded, w=86\",\"Find(1)=0, Find(4)=2, Add (1,4)=46 Succeeded, w=132\",\"Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=132\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,3,68],[1,4,46],[2,3,16],[2,4,38],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,1)=32,(2,4)=38,(1,4)=46,(3,4)=53,(0,3)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=38 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=46 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,5],[0,4,39],[0,5,44],[1,2,88],[1,3,68],[1,5,8],[2,4,91],[2,5,66],[3,4,27],[4,5,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,39],[0,5,44],[1,2,88],[1,3,68],[1,5,8],[2,4,91],[2,5,66],[3,4,27],[4,5,9]]}",
"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],\"edges\":[[0,2,5],[0,4,39],[0,5,44],[1,2,88],[1,3,68],[1,5,8],[2,4,91],[2,5,66],[3,4,27],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,39],[0,5,44],[1,2,88],[1,3,68],[1,5,8],[2,4,91],[2,5,66],[3,4,27],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,5)=8, w=13\",\"Add (4,5)=9, w=22\",\"Add (3,4)=27, w=49\",\"Add (0,4)=39, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,39],[0,5,44],[1,2,88],[1,3,68],[1,5,8],[2,4,91],[2,5,66],[3,4,27],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,5)=8 Succeeded, w=13\",\"Add (4,5)=9 Succeeded, w=22\",\"Add (3,4)=27 Succeeded, w=49\",\"Add (0,4)=39 Succeeded, w=88\",\"Add (0,5)=44 Failed, w=88\",\"Add (2,5)=66 Failed, w=88\",\"Add (1,3)=68 Failed, w=88\",\"Add (1,2)=88 Failed, w=88\",\"Add (2,4)=91 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],\"edges\":[[0,2,5],[0,4,39],[0,5,44],[1,2,88],[1,3,68],[1,5,8],[2,4,91],[2,5,66],[3,4,27],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,5)=8,(4,5)=9,(3,4)=27,(0,4)=39,(0,5)=44,(2,5)=66,(1,3)=68,(1,2)=88,(2,4)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=13\",\"Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=22\",\"Find(3)=3, Find(4)=1, Add (3,4)=27 Succeeded, w=49\",\"Find(0)=0, Find(4)=1, Add (0,4)=39 Succeeded, w=88\",\"Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=88\",\"Find(2)=0, Find(5)=0, Add (2,5)=66 Failed, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=88\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 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],\"edges\":[[0,2,5],[0,4,39],[0,5,44],[1,2,88],[1,3,68],[1,5,8],[2,4,91],[2,5,66],[3,4,27],[4,5,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,5)=8,(4,5)=9,(3,4)=27,(0,4)=39,(0,5)=44,(2,5)=66,(1,3)=68,(1,2)=88,(2,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(4)=1, Add (3,4)=27 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=39 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=44 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=66 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,57],[0,3,44],[0,5,13],[0,6,12],[1,2,88],[1,3,15],[1,4,20],[1,6,90],[1,7,7],[2,3,66],[2,5,48],[2,6,71],[2,7,98],[3,4,38],[3,5,12],[3,7,23],[4,5,79],[5,6,58],[5,7,53],[6,7,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,44],[0,5,13],[0,6,12],[1,2,88],[1,3,15],[1,4,20],[1,6,90],[1,7,7],[2,3,66],[2,5,48],[2,6,71],[2,7,98],[3,4,38],[3,5,12],[3,7,23],[4,5,79],[5,6,58],[5,7,53],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,44],[0,5,13],[0,6,12],[1,2,88],[1,3,15],[1,4,20],[1,6,90],[1,7,7],[2,3,66],[2,5,48],[2,6,71],[2,7,98],[3,4,38],[3,5,12],[3,7,23],[4,5,79],[5,6,58],[5,7,53],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,44],[0,5,13],[0,6,12],[1,2,88],[1,3,15],[1,4,20],[1,6,90],[1,7,7],[2,3,66],[2,5,48],[2,6,71],[2,7,98],[3,4,38],[3,5,12],[3,7,23],[4,5,79],[5,6,58],[5,7,53],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=7, w=7\",\"Add (0,6)=12, w=19\",\"Add (3,5)=12, w=31\",\"Add (0,5)=13, w=44\",\"Add (1,3)=15, w=59\",\"Add (1,4)=20, w=79\",\"Add (2,5)=48, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,44],[0,5,13],[0,6,12],[1,2,88],[1,3,15],[1,4,20],[1,6,90],[1,7,7],[2,3,66],[2,5,48],[2,6,71],[2,7,98],[3,4,38],[3,5,12],[3,7,23],[4,5,79],[5,6,58],[5,7,53],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=7 Succeeded, w=7\",\"Add (0,6)=12 Succeeded, w=19\",\"Add (3,5)=12 Succeeded, w=31\",\"Add (0,5)=13 Succeeded, w=44\",\"Add (1,3)=15 Succeeded, w=59\",\"Add (1,4)=20 Succeeded, w=79\",\"Add (3,7)=23 Failed, w=79\",\"Add (3,4)=38 Failed, w=79\",\"Add (0,3)=44 Failed, w=79\",\"Add (2,5)=48 Succeeded, w=127\",\"Add (5,7)=53 Failed, w=127\",\"Add (0,2)=57 Failed, w=127\",\"Add (5,6)=58 Failed, w=127\",\"Add (2,3)=66 Failed, w=127\",\"Add (2,6)=71 Failed, w=127\",\"Add (4,5)=79 Failed, w=127\",\"Add (1,2)=88 Failed, w=127\",\"Add (1,6)=90 Failed, w=127\",\"Add (6,7)=96 Failed, w=127\",\"Add (2,7)=98 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,44],[0,5,13],[0,6,12],[1,2,88],[1,3,15],[1,4,20],[1,6,90],[1,7,7],[2,3,66],[2,5,48],[2,6,71],[2,7,98],[3,4,38],[3,5,12],[3,7,23],[4,5,79],[5,6,58],[5,7,53],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=7,(0,6)=12,(3,5)=12,(0,5)=13,(1,3)=15,(1,4)=20,(3,7)=23,(3,4)=38,(0,3)=44,(2,5)=48,(5,7)=53,(0,2)=57,(5,6)=58,(2,3)=66,(2,6)=71,(4,5)=79,(1,2)=88,(1,6)=90,(6,7)=96,(2,7)=98]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=12 Succeeded, w=19\",\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=31\",\"Find(0)=0, Find(5)=3, Add (0,5)=13 Succeeded, w=44\",\"Find(1)=1, Find(3)=0, Add (1,3)=15 Succeeded, w=59\",\"Find(1)=0, Find(4)=4, Add (1,4)=20 Succeeded, w=79\",\"Find(3)=0, Find(7)=0, Add (3,7)=23 Failed, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=38 Failed, w=79\",\"Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=79\",\"Find(2)=2, Find(5)=0, Add (2,5)=48 Succeeded, w=127\",\"Find(5)=0, Find(7)=0, Add (5,7)=53 Failed, w=127\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=127\",\"Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=127\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=127\",\"Find(2)=0, Find(6)=0, Add (2,6)=71 Failed, w=127\",\"Find(4)=0, Find(5)=0, Add (4,5)=79 Failed, w=127\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=127\",\"Find(1)=0, Find(6)=0, Add (1,6)=90 Failed, w=127\",\"Find(6)=0, Find(7)=0, Add (6,7)=96 Failed, w=127\",\"Find(2)=0, Find(7)=0, Add (2,7)=98 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,3,44],[0,5,13],[0,6,12],[1,2,88],[1,3,15],[1,4,20],[1,6,90],[1,7,7],[2,3,66],[2,5,48],[2,6,71],[2,7,98],[3,4,38],[3,5,12],[3,7,23],[4,5,79],[5,6,58],[5,7,53],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=7,(0,6)=12,(3,5)=12,(0,5)=13,(1,3)=15,(1,4)=20,(3,7)=23,(3,4)=38,(0,3)=44,(2,5)=48,(5,7)=53,(0,2)=57,(5,6)=58,(2,3)=66,(2,6)=71,(4,5)=79,(1,2)=88,(1,6)=90,(6,7)=96,(2,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 1}, Find(0)=0, Find(6)=6, Add (0,6)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0, 7: 1}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 3, 6: 0, 7: 1}, Find(0)=0, Find(5)=3, Add (0,5)=13 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3, 6: 0, 7: 1}, Find(1)=1, Find(3)=0, Add (1,3)=15 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 0, 7: 1}, Find(1)=0, Find(4)=4, Add (1,4)=20 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=23 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=38 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(5)=0, Add (2,5)=48 Succeeded, w=127\",\"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)=53 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=127\",\"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)=58 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=127\",\"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=127\",\"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)=79 Failed, w=127\",\"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)=88 Failed, w=127\",\"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)=90 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=96 Failed, w=127\",\"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)=98 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,7],[0,3,88],[0,4,100],[1,2,59],[1,3,2],[1,4,0],[2,3,3],[2,4,42],[3,4,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,88],[0,4,100],[1,2,59],[1,3,2],[1,4,0],[2,3,3],[2,4,42],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,88],[0,4,100],[1,2,59],[1,3,2],[1,4,0],[2,3,3],[2,4,42],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,88],[0,4,100],[1,2,59],[1,3,2],[1,4,0],[2,3,3],[2,4,42],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (1,3)=2, w=2\",\"Add (2,3)=3, w=5\",\"Add (0,1)=7, w=12\"],\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,88],[0,4,100],[1,2,59],[1,3,2],[1,4,0],[2,3,3],[2,4,42],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,3)=3 Succeeded, w=5\",\"Add (0,1)=7 Succeeded, w=12\",\"Add (3,4)=37 Failed, w=12\",\"Add (2,4)=42 Failed, w=12\",\"Add (1,2)=59 Failed, w=12\",\"Add (0,3)=88 Failed, w=12\",\"Add (0,4)=100 Failed, w=12\"],\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,88],[0,4,100],[1,2,59],[1,3,2],[1,4,0],[2,3,3],[2,4,42],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,3)=2,(2,3)=3,(0,1)=7,(3,4)=37,(2,4)=42,(1,2)=59,(0,3)=88,(0,4)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=1, Add (2,3)=3 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=12\",\"Find(3)=1, Find(4)=1, Add (3,4)=37 Failed, w=12\",\"Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=12\",\"Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=12\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=12\",\"Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=12\"],\"Answer\":12}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,3,88],[0,4,100],[1,2,59],[1,3,2],[1,4,0],[2,3,3],[2,4,42],[3,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,3)=2,(2,3)=3,(0,1)=7,(3,4)=37,(2,4)=42,(1,2)=59,(0,3)=88,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=3 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=37 Failed, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=12\"],\"Answer\":12}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,26],[0,2,28],[0,3,8],[0,4,67],[0,5,42],[0,6,46],[1,2,12],[1,3,2],[1,4,95],[1,5,55],[1,6,49],[2,3,86],[2,5,71],[3,4,82],[3,5,35],[3,6,74],[4,5,18],[4,6,0],[5,6,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,28],[0,3,8],[0,4,67],[0,5,42],[0,6,46],[1,2,12],[1,3,2],[1,4,95],[1,5,55],[1,6,49],[2,3,86],[2,5,71],[3,4,82],[3,5,35],[3,6,74],[4,5,18],[4,6,0],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,28],[0,3,8],[0,4,67],[0,5,42],[0,6,46],[1,2,12],[1,3,2],[1,4,95],[1,5,55],[1,6,49],[2,3,86],[2,5,71],[3,4,82],[3,5,35],[3,6,74],[4,5,18],[4,6,0],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,28],[0,3,8],[0,4,67],[0,5,42],[0,6,46],[1,2,12],[1,3,2],[1,4,95],[1,5,55],[1,6,49],[2,3,86],[2,5,71],[3,4,82],[3,5,35],[3,6,74],[4,5,18],[4,6,0],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0, w=0\",\"Add (1,3)=2, w=2\",\"Add (0,3)=8, w=10\",\"Add (1,2)=12, w=22\",\"Add (4,5)=18, w=40\",\"Add (3,5)=35, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,28],[0,3,8],[0,4,67],[0,5,42],[0,6,46],[1,2,12],[1,3,2],[1,4,95],[1,5,55],[1,6,49],[2,3,86],[2,5,71],[3,4,82],[3,5,35],[3,6,74],[4,5,18],[4,6,0],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0 Succeeded, w=0\",\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,3)=8 Succeeded, w=10\",\"Add (1,2)=12 Succeeded, w=22\",\"Add (4,5)=18 Succeeded, w=40\",\"Add (0,1)=26 Failed, w=40\",\"Add (0,2)=28 Failed, w=40\",\"Add (3,5)=35 Succeeded, w=75\",\"Add (0,5)=42 Failed, w=75\",\"Add (0,6)=46 Failed, w=75\",\"Add (1,6)=49 Failed, w=75\",\"Add (1,5)=55 Failed, w=75\",\"Add (0,4)=67 Failed, w=75\",\"Add (5,6)=69 Failed, w=75\",\"Add (2,5)=71 Failed, w=75\",\"Add (3,6)=74 Failed, w=75\",\"Add (3,4)=82 Failed, w=75\",\"Add (2,3)=86 Failed, w=75\",\"Add (1,4)=95 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,28],[0,3,8],[0,4,67],[0,5,42],[0,6,46],[1,2,12],[1,3,2],[1,4,95],[1,5,55],[1,6,49],[2,3,86],[2,5,71],[3,4,82],[3,5,35],[3,6,74],[4,5,18],[4,6,0],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(1,3)=2,(0,3)=8,(1,2)=12,(4,5)=18,(0,1)=26,(0,2)=28,(3,5)=35,(0,5)=42,(0,6)=46,(1,6)=49,(1,5)=55,(0,4)=67,(5,6)=69,(2,5)=71,(3,6)=74,(3,4)=82,(2,3)=86,(1,4)=95]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=1, Add (0,3)=8 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=22\",\"Find(4)=4, Find(5)=5, Add (4,5)=18 Succeeded, w=40\",\"Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=40\",\"Find(0)=1, Find(2)=1, Add (0,2)=28 Failed, w=40\",\"Find(3)=1, Find(5)=4, Add (3,5)=35 Succeeded, w=75\",\"Find(0)=1, Find(5)=1, Add (0,5)=42 Failed, w=75\",\"Find(0)=1, Find(6)=1, Add (0,6)=46 Failed, w=75\",\"Find(1)=1, Find(6)=1, Add (1,6)=49 Failed, w=75\",\"Find(1)=1, Find(5)=1, Add (1,5)=55 Failed, w=75\",\"Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=75\",\"Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=75\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=75\",\"Find(3)=1, Find(6)=1, Add (3,6)=74 Failed, w=75\",\"Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=75\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=75\",\"Find(1)=1, Find(4)=1, Add (1,4)=95 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,2,28],[0,3,8],[0,4,67],[0,5,42],[0,6,46],[1,2,12],[1,3,2],[1,4,95],[1,5,55],[1,6,49],[2,3,86],[2,5,71],[3,4,82],[3,5,35],[3,6,74],[4,5,18],[4,6,0],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(1,3)=2,(0,3)=8,(1,2)=12,(4,5)=18,(0,1)=26,(0,2)=28,(3,5)=35,(0,5)=42,(0,6)=46,(1,6)=49,(1,5)=55,(0,4)=67,(5,6)=69,(2,5)=71,(3,6)=74,(3,4)=82,(2,3)=86,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(3)=1, Add (0,3)=8 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=5, Add (4,5)=18 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4}, Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 4}, Find(0)=1, Find(2)=1, Add (0,2)=28 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 4}, Find(3)=1, Find(5)=4, Add (3,5)=35 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4}, Find(0)=1, Find(5)=1, Add (0,5)=42 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=46 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=49 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=55 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=67 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=74 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=82 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=95 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,7],[0,2,14],[0,3,29],[0,4,65],[0,5,72],[0,6,21],[1,2,11],[1,3,66],[1,4,74],[1,5,61],[1,6,85],[2,3,0],[2,4,46],[2,5,4],[2,6,54],[3,4,2],[3,5,88],[3,6,24],[4,5,12],[4,6,59],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,14],[0,3,29],[0,4,65],[0,5,72],[0,6,21],[1,2,11],[1,3,66],[1,4,74],[1,5,61],[1,6,85],[2,3,0],[2,4,46],[2,5,4],[2,6,54],[3,4,2],[3,5,88],[3,6,24],[4,5,12],[4,6,59],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,14],[0,3,29],[0,4,65],[0,5,72],[0,6,21],[1,2,11],[1,3,66],[1,4,74],[1,5,61],[1,6,85],[2,3,0],[2,4,46],[2,5,4],[2,6,54],[3,4,2],[3,5,88],[3,6,24],[4,5,12],[4,6,59],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (0,6)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,14],[0,3,29],[0,4,65],[0,5,72],[0,6,21],[1,2,11],[1,3,66],[1,4,74],[1,5,61],[1,6,85],[2,3,0],[2,4,46],[2,5,4],[2,6,54],[3,4,2],[3,5,88],[3,6,24],[4,5,12],[4,6,59],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (3,4)=2, w=2\",\"Add (2,5)=4, w=6\",\"Add (0,1)=7, w=13\",\"Add (1,2)=11, w=24\",\"Add (0,6)=21, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,14],[0,3,29],[0,4,65],[0,5,72],[0,6,21],[1,2,11],[1,3,66],[1,4,74],[1,5,61],[1,6,85],[2,3,0],[2,4,46],[2,5,4],[2,6,54],[3,4,2],[3,5,88],[3,6,24],[4,5,12],[4,6,59],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (3,4)=2 Succeeded, w=2\",\"Add (2,5)=4 Succeeded, w=6\",\"Add (0,1)=7 Succeeded, w=13\",\"Add (1,2)=11 Succeeded, w=24\",\"Add (4,5)=12 Failed, w=24\",\"Add (0,2)=14 Failed, w=24\",\"Add (0,6)=21 Succeeded, w=45\",\"Add (3,6)=24 Failed, w=45\",\"Add (0,3)=29 Failed, w=45\",\"Add (2,4)=46 Failed, w=45\",\"Add (2,6)=54 Failed, w=45\",\"Add (4,6)=59 Failed, w=45\",\"Add (1,5)=61 Failed, w=45\",\"Add (0,4)=65 Failed, w=45\",\"Add (1,3)=66 Failed, w=45\",\"Add (0,5)=72 Failed, w=45\",\"Add (1,4)=74 Failed, w=45\",\"Add (1,6)=85 Failed, w=45\",\"Add (5,6)=85 Failed, w=45\",\"Add (3,5)=88 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,14],[0,3,29],[0,4,65],[0,5,72],[0,6,21],[1,2,11],[1,3,66],[1,4,74],[1,5,61],[1,6,85],[2,3,0],[2,4,46],[2,5,4],[2,6,54],[3,4,2],[3,5,88],[3,6,24],[4,5,12],[4,6,59],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(3,4)=2,(2,5)=4,(0,1)=7,(1,2)=11,(4,5)=12,(0,2)=14,(0,6)=21,(3,6)=24,(0,3)=29,(2,4)=46,(2,6)=54,(4,6)=59,(1,5)=61,(0,4)=65,(1,3)=66,(0,5)=72,(1,4)=74,(1,6)=85,(5,6)=85,(3,5)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(3)=2, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=13\",\"Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=24\",\"Find(4)=0, Find(5)=0, Add (4,5)=12 Failed, w=24\",\"Find(0)=0, Find(2)=0, Add (0,2)=14 Failed, w=24\",\"Find(0)=0, Find(6)=6, Add (0,6)=21 Succeeded, w=45\",\"Find(3)=0, Find(6)=0, Add (3,6)=24 Failed, w=45\",\"Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=45\",\"Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=45\",\"Find(2)=0, Find(6)=0, Add (2,6)=54 Failed, w=45\",\"Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=45\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=45\",\"Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=45\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=45\",\"Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=45\",\"Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=45\",\"Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=45\",\"Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=45\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,2,14],[0,3,29],[0,4,65],[0,5,72],[0,6,21],[1,2,11],[1,3,66],[1,4,74],[1,5,61],[1,6,85],[2,3,0],[2,4,46],[2,5,4],[2,6,54],[3,4,2],[3,5,88],[3,6,24],[4,5,12],[4,6,59],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(3,4)=2,(2,5)=4,(0,1)=7,(1,2)=11,(4,5)=12,(0,2)=14,(0,6)=21,(3,6)=24,(0,3)=29,(2,4)=46,(2,6)=54,(4,6)=59,(1,5)=61,(0,4)=65,(1,3)=66,(0,5)=72,(1,4)=74,(1,6)=85,(5,6)=85,(3,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(3)=2, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=0, Add (4,5)=12 Failed, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(2)=0, Add (0,2)=14 Failed, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=21 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=24 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=54 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,1],[0,3,64],[0,4,2],[0,5,83],[0,6,91],[0,7,44],[1,3,96],[1,4,2],[1,5,4],[1,6,1],[1,7,66],[2,3,14],[2,4,75],[2,5,31],[2,6,4],[2,7,88],[3,4,26],[3,5,35],[3,6,87],[3,7,84],[4,5,31],[4,6,52],[4,7,53],[5,7,98],[6,7,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,1],[0,3,64],[0,4,2],[0,5,83],[0,6,91],[0,7,44],[1,3,96],[1,4,2],[1,5,4],[1,6,1],[1,7,66],[2,3,14],[2,4,75],[2,5,31],[2,6,4],[2,7,88],[3,4,26],[3,5,35],[3,6,87],[3,7,84],[4,5,31],[4,6,52],[4,7,53],[5,7,98],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,1],[0,3,64],[0,4,2],[0,5,83],[0,6,91],[0,7,44],[1,3,96],[1,4,2],[1,5,4],[1,6,1],[1,7,66],[2,3,14],[2,4,75],[2,5,31],[2,6,4],[2,7,88],[3,4,26],[3,5,35],[3,6,87],[3,7,84],[4,5,31],[4,6,52],[4,7,53],[5,7,98],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (0,7)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,1],[0,3,64],[0,4,2],[0,5,83],[0,6,91],[0,7,44],[1,3,96],[1,4,2],[1,5,4],[1,6,1],[1,7,66],[2,3,14],[2,4,75],[2,5,31],[2,6,4],[2,7,88],[3,4,26],[3,5,35],[3,6,87],[3,7,84],[4,5,31],[4,6,52],[4,7,53],[5,7,98],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (1,6)=1, w=2\",\"Add (0,4)=2, w=4\",\"Add (1,4)=2, w=6\",\"Add (1,5)=4, w=10\",\"Add (2,3)=14, w=24\",\"Add (0,7)=44, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,1],[0,3,64],[0,4,2],[0,5,83],[0,6,91],[0,7,44],[1,3,96],[1,4,2],[1,5,4],[1,6,1],[1,7,66],[2,3,14],[2,4,75],[2,5,31],[2,6,4],[2,7,88],[3,4,26],[3,5,35],[3,6,87],[3,7,84],[4,5,31],[4,6,52],[4,7,53],[5,7,98],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (1,6)=1 Succeeded, w=2\",\"Add (0,4)=2 Succeeded, w=4\",\"Add (1,4)=2 Succeeded, w=6\",\"Add (1,5)=4 Succeeded, w=10\",\"Add (2,6)=4 Failed, w=10\",\"Add (2,3)=14 Succeeded, w=24\",\"Add (3,4)=26 Failed, w=24\",\"Add (2,5)=31 Failed, w=24\",\"Add (4,5)=31 Failed, w=24\",\"Add (3,5)=35 Failed, w=24\",\"Add (0,7)=44 Succeeded, w=68\",\"Add (4,6)=52 Failed, w=68\",\"Add (4,7)=53 Failed, w=68\",\"Add (6,7)=60 Failed, w=68\",\"Add (0,3)=64 Failed, w=68\",\"Add (1,7)=66 Failed, w=68\",\"Add (2,4)=75 Failed, w=68\",\"Add (0,5)=83 Failed, w=68\",\"Add (3,7)=84 Failed, w=68\",\"Add (3,6)=87 Failed, w=68\",\"Add (2,7)=88 Failed, w=68\",\"Add (0,6)=91 Failed, w=68\",\"Add (1,3)=96 Failed, w=68\",\"Add (5,7)=98 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,1],[0,3,64],[0,4,2],[0,5,83],[0,6,91],[0,7,44],[1,3,96],[1,4,2],[1,5,4],[1,6,1],[1,7,66],[2,3,14],[2,4,75],[2,5,31],[2,6,4],[2,7,88],[3,4,26],[3,5,35],[3,6,87],[3,7,84],[4,5,31],[4,6,52],[4,7,53],[5,7,98],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,6)=1,(0,4)=2,(1,4)=2,(1,5)=4,(2,6)=4,(2,3)=14,(3,4)=26,(2,5)=31,(4,5)=31,(3,5)=35,(0,7)=44,(4,6)=52,(4,7)=53,(6,7)=60,(0,3)=64,(1,7)=66,(2,4)=75,(0,5)=83,(3,7)=84,(3,6)=87,(2,7)=88,(0,6)=91,(1,3)=96,(5,7)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=4\",\"Find(1)=1, Find(4)=0, Add (1,4)=2 Succeeded, w=6\",\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=10\",\"Find(2)=1, Find(6)=1, Add (2,6)=4 Failed, w=10\",\"Find(2)=1, Find(3)=3, Add (2,3)=14 Succeeded, w=24\",\"Find(3)=1, Find(4)=1, Add (3,4)=26 Failed, w=24\",\"Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=24\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=24\",\"Find(3)=1, Find(5)=1, Add (3,5)=35 Failed, w=24\",\"Find(0)=1, Find(7)=7, Add (0,7)=44 Succeeded, w=68\",\"Find(4)=1, Find(6)=1, Add (4,6)=52 Failed, w=68\",\"Find(4)=1, Find(7)=1, Add (4,7)=53 Failed, w=68\",\"Find(6)=1, Find(7)=1, Add (6,7)=60 Failed, w=68\",\"Find(0)=1, Find(3)=1, Add (0,3)=64 Failed, w=68\",\"Find(1)=1, Find(7)=1, Add (1,7)=66 Failed, w=68\",\"Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=68\",\"Find(0)=1, Find(5)=1, Add (0,5)=83 Failed, w=68\",\"Find(3)=1, Find(7)=1, Add (3,7)=84 Failed, w=68\",\"Find(3)=1, Find(6)=1, Add (3,6)=87 Failed, w=68\",\"Find(2)=1, Find(7)=1, Add (2,7)=88 Failed, w=68\",\"Find(0)=1, Find(6)=1, Add (0,6)=91 Failed, w=68\",\"Find(1)=1, Find(3)=1, Add (1,3)=96 Failed, w=68\",\"Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,1],[0,3,64],[0,4,2],[0,5,83],[0,6,91],[0,7,44],[1,3,96],[1,4,2],[1,5,4],[1,6,1],[1,7,66],[2,3,14],[2,4,75],[2,5,31],[2,6,4],[2,7,88],[3,4,26],[3,5,35],[3,6,87],[3,7,84],[4,5,31],[4,6,52],[4,7,53],[5,7,98],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,6)=1,(0,4)=2,(1,4)=2,(1,5)=4,(2,6)=4,(2,3)=14,(3,4)=26,(2,5)=31,(4,5)=31,(3,5)=35,(0,7)=44,(4,6)=52,(4,7)=53,(6,7)=60,(0,3)=64,(1,7)=66,(2,4)=75,(0,5)=83,(3,7)=84,(3,6)=87,(2,7)=88,(0,6)=91,(1,3)=96,(5,7)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=2 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(6)=1, Add (2,6)=4 Failed, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(3)=3, Add (2,3)=14 Succeeded, w=24\",\"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)=26 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(5)=1, Add (3,5)=35 Failed, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=7, Add (0,7)=44 Succeeded, w=68\",\"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)=52 Failed, w=68\",\"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)=53 Failed, w=68\",\"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)=60 Failed, w=68\",\"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)=64 Failed, w=68\",\"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)=66 Failed, w=68\",\"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)=75 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=83 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=84 Failed, w=68\",\"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)=87 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=88 Failed, w=68\",\"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)=91 Failed, w=68\",\"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)=96 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,28],[0,2,81],[0,4,13],[0,5,9],[0,6,83],[1,2,14],[1,5,6],[1,7,95],[2,3,29],[2,4,16],[2,5,91],[2,6,90],[2,7,37],[3,5,63],[3,6,20],[3,7,34],[4,5,1],[4,6,58],[4,7,35],[5,6,11],[5,7,33],[6,7,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,81],[0,4,13],[0,5,9],[0,6,83],[1,2,14],[1,5,6],[1,7,95],[2,3,29],[2,4,16],[2,5,91],[2,6,90],[2,7,37],[3,5,63],[3,6,20],[3,7,34],[4,5,1],[4,6,58],[4,7,35],[5,6,11],[5,7,33],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,81],[0,4,13],[0,5,9],[0,6,83],[1,2,14],[1,5,6],[1,7,95],[2,3,29],[2,4,16],[2,5,91],[2,6,90],[2,7,37],[3,5,63],[3,6,20],[3,7,34],[4,5,1],[4,6,58],[4,7,35],[5,6,11],[5,7,33],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (6,7)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,81],[0,4,13],[0,5,9],[0,6,83],[1,2,14],[1,5,6],[1,7,95],[2,3,29],[2,4,16],[2,5,91],[2,6,90],[2,7,37],[3,5,63],[3,6,20],[3,7,34],[4,5,1],[4,6,58],[4,7,35],[5,6,11],[5,7,33],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (1,5)=6, w=7\",\"Add (0,5)=9, w=16\",\"Add (5,6)=11, w=27\",\"Add (1,2)=14, w=41\",\"Add (3,6)=20, w=61\",\"Add (6,7)=29, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,81],[0,4,13],[0,5,9],[0,6,83],[1,2,14],[1,5,6],[1,7,95],[2,3,29],[2,4,16],[2,5,91],[2,6,90],[2,7,37],[3,5,63],[3,6,20],[3,7,34],[4,5,1],[4,6,58],[4,7,35],[5,6,11],[5,7,33],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (1,5)=6 Succeeded, w=7\",\"Add (0,5)=9 Succeeded, w=16\",\"Add (5,6)=11 Succeeded, w=27\",\"Add (0,4)=13 Failed, w=27\",\"Add (1,2)=14 Succeeded, w=41\",\"Add (2,4)=16 Failed, w=41\",\"Add (3,6)=20 Succeeded, w=61\",\"Add (0,1)=28 Failed, w=61\",\"Add (2,3)=29 Failed, w=61\",\"Add (6,7)=29 Succeeded, w=90\",\"Add (5,7)=33 Failed, w=90\",\"Add (3,7)=34 Failed, w=90\",\"Add (4,7)=35 Failed, w=90\",\"Add (2,7)=37 Failed, w=90\",\"Add (4,6)=58 Failed, w=90\",\"Add (3,5)=63 Failed, w=90\",\"Add (0,2)=81 Failed, w=90\",\"Add (0,6)=83 Failed, w=90\",\"Add (2,6)=90 Failed, w=90\",\"Add (2,5)=91 Failed, w=90\",\"Add (1,7)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,81],[0,4,13],[0,5,9],[0,6,83],[1,2,14],[1,5,6],[1,7,95],[2,3,29],[2,4,16],[2,5,91],[2,6,90],[2,7,37],[3,5,63],[3,6,20],[3,7,34],[4,5,1],[4,6,58],[4,7,35],[5,6,11],[5,7,33],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,5)=6,(0,5)=9,(5,6)=11,(0,4)=13,(1,2)=14,(2,4)=16,(3,6)=20,(0,1)=28,(2,3)=29,(6,7)=29,(5,7)=33,(3,7)=34,(4,7)=35,(2,7)=37,(4,6)=58,(3,5)=63,(0,2)=81,(0,6)=83,(2,6)=90,(2,5)=91,(1,7)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=4, Add (1,5)=6 Succeeded, w=7\",\"Find(0)=0, Find(5)=4, Add (0,5)=9 Succeeded, w=16\",\"Find(5)=4, Find(6)=6, Add (5,6)=11 Succeeded, w=27\",\"Find(0)=4, Find(4)=4, Add (0,4)=13 Failed, w=27\",\"Find(1)=4, Find(2)=2, Add (1,2)=14 Succeeded, w=41\",\"Find(2)=4, Find(4)=4, Add (2,4)=16 Failed, w=41\",\"Find(3)=3, Find(6)=4, Add (3,6)=20 Succeeded, w=61\",\"Find(0)=4, Find(1)=4, Add (0,1)=28 Failed, w=61\",\"Find(2)=4, Find(3)=4, Add (2,3)=29 Failed, w=61\",\"Find(6)=4, Find(7)=7, Add (6,7)=29 Succeeded, w=90\",\"Find(5)=4, Find(7)=4, Add (5,7)=33 Failed, w=90\",\"Find(3)=4, Find(7)=4, Add (3,7)=34 Failed, w=90\",\"Find(4)=4, Find(7)=4, Add (4,7)=35 Failed, w=90\",\"Find(2)=4, Find(7)=4, Add (2,7)=37 Failed, w=90\",\"Find(4)=4, Find(6)=4, Add (4,6)=58 Failed, w=90\",\"Find(3)=4, Find(5)=4, Add (3,5)=63 Failed, w=90\",\"Find(0)=4, Find(2)=4, Add (0,2)=81 Failed, w=90\",\"Find(0)=4, Find(6)=4, Add (0,6)=83 Failed, w=90\",\"Find(2)=4, Find(6)=4, Add (2,6)=90 Failed, w=90\",\"Find(2)=4, Find(5)=4, Add (2,5)=91 Failed, w=90\",\"Find(1)=4, Find(7)=4, Add (1,7)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,81],[0,4,13],[0,5,9],[0,6,83],[1,2,14],[1,5,6],[1,7,95],[2,3,29],[2,4,16],[2,5,91],[2,6,90],[2,7,37],[3,5,63],[3,6,20],[3,7,34],[4,5,1],[4,6,58],[4,7,35],[5,6,11],[5,7,33],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,5)=6,(0,5)=9,(5,6)=11,(0,4)=13,(1,2)=14,(2,4)=16,(3,6)=20,(0,1)=28,(2,3)=29,(6,7)=29,(5,7)=33,(3,7)=34,(4,7)=35,(2,7)=37,(4,6)=58,(3,5)=63,(0,2)=81,(0,6)=83,(2,6)=90,(2,5)=91,(1,7)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(5)=4, Add (1,5)=6 Succeeded, w=7\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(5)=4, Add (0,5)=9 Succeeded, w=16\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(5)=4, Find(6)=6, Add (5,6)=11 Succeeded, w=27\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=4, Find(4)=4, Add (0,4)=13 Failed, w=27\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(1)=4, Find(2)=2, Add (1,2)=14 Succeeded, w=41\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=4, Find(4)=4, Add (2,4)=16 Failed, w=41\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(3)=3, Find(6)=4, Add (3,6)=20 Succeeded, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=4, Find(1)=4, Add (0,1)=28 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=4, Find(3)=4, Add (2,3)=29 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=7, Add (6,7)=29 Succeeded, w=90\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=33 Failed, w=90\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=34 Failed, w=90\",\"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)=35 Failed, w=90\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=37 Failed, w=90\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=58 Failed, w=90\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=63 Failed, w=90\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=81 Failed, w=90\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=83 Failed, w=90\",\"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)=90 Failed, w=90\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=91 Failed, w=90\",\"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)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,87],[0,2,73],[0,3,35],[0,4,98],[0,5,6],[0,6,44],[0,7,51],[1,2,3],[1,3,63],[1,4,67],[1,5,38],[1,6,47],[1,7,52],[2,3,62],[2,5,21],[2,6,42],[2,7,60],[3,4,60],[3,5,38],[3,6,32],[4,5,52],[4,6,70],[4,7,81],[5,6,50],[5,7,31],[6,7,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,73],[0,3,35],[0,4,98],[0,5,6],[0,6,44],[0,7,51],[1,2,3],[1,3,63],[1,4,67],[1,5,38],[1,6,47],[1,7,52],[2,3,62],[2,5,21],[2,6,42],[2,7,60],[3,4,60],[3,5,38],[3,6,32],[4,5,52],[4,6,70],[4,7,81],[5,6,50],[5,7,31],[6,7,23]]}",
"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\":[[0,1,87],[0,2,73],[0,3,35],[0,4,98],[0,5,6],[0,6,44],[0,7,51],[1,2,3],[1,3,63],[1,4,67],[1,5,38],[1,6,47],[1,7,52],[2,3,62],[2,5,21],[2,6,42],[2,7,60],[3,4,60],[3,5,38],[3,6,32],[4,5,52],[4,6,70],[4,7,81],[5,6,50],[5,7,31],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (6,7)\",\"Add (5,7)\",\"Add (3,6)\",\"Add (4,5)\"],\"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\":[[0,1,87],[0,2,73],[0,3,35],[0,4,98],[0,5,6],[0,6,44],[0,7,51],[1,2,3],[1,3,63],[1,4,67],[1,5,38],[1,6,47],[1,7,52],[2,3,62],[2,5,21],[2,6,42],[2,7,60],[3,4,60],[3,5,38],[3,6,32],[4,5,52],[4,6,70],[4,7,81],[5,6,50],[5,7,31],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,5)=6, w=9\",\"Add (2,5)=21, w=30\",\"Add (6,7)=23, w=53\",\"Add (5,7)=31, w=84\",\"Add (3,6)=32, w=116\",\"Add (4,5)=52, 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\":[[0,1,87],[0,2,73],[0,3,35],[0,4,98],[0,5,6],[0,6,44],[0,7,51],[1,2,3],[1,3,63],[1,4,67],[1,5,38],[1,6,47],[1,7,52],[2,3,62],[2,5,21],[2,6,42],[2,7,60],[3,4,60],[3,5,38],[3,6,32],[4,5,52],[4,6,70],[4,7,81],[5,6,50],[5,7,31],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,5)=6 Succeeded, w=9\",\"Add (2,5)=21 Succeeded, w=30\",\"Add (6,7)=23 Succeeded, w=53\",\"Add (5,7)=31 Succeeded, w=84\",\"Add (3,6)=32 Succeeded, w=116\",\"Add (0,3)=35 Failed, w=116\",\"Add (1,5)=38 Failed, w=116\",\"Add (3,5)=38 Failed, w=116\",\"Add (2,6)=42 Failed, w=116\",\"Add (0,6)=44 Failed, w=116\",\"Add (1,6)=47 Failed, w=116\",\"Add (5,6)=50 Failed, w=116\",\"Add (0,7)=51 Failed, w=116\",\"Add (1,7)=52 Failed, w=116\",\"Add (4,5)=52 Succeeded, w=168\",\"Add (2,7)=60 Failed, w=168\",\"Add (3,4)=60 Failed, w=168\",\"Add (2,3)=62 Failed, w=168\",\"Add (1,3)=63 Failed, w=168\",\"Add (1,4)=67 Failed, w=168\",\"Add (4,6)=70 Failed, w=168\",\"Add (0,2)=73 Failed, w=168\",\"Add (4,7)=81 Failed, w=168\",\"Add (0,1)=87 Failed, w=168\",\"Add (0,4)=98 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\":[[0,1,87],[0,2,73],[0,3,35],[0,4,98],[0,5,6],[0,6,44],[0,7,51],[1,2,3],[1,3,63],[1,4,67],[1,5,38],[1,6,47],[1,7,52],[2,3,62],[2,5,21],[2,6,42],[2,7,60],[3,4,60],[3,5,38],[3,6,32],[4,5,52],[4,6,70],[4,7,81],[5,6,50],[5,7,31],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,5)=6,(2,5)=21,(6,7)=23,(5,7)=31,(3,6)=32,(0,3)=35,(1,5)=38,(3,5)=38,(2,6)=42,(0,6)=44,(1,6)=47,(5,6)=50,(0,7)=51,(1,7)=52,(4,5)=52,(2,7)=60,(3,4)=60,(2,3)=62,(1,3)=63,(1,4)=67,(4,6)=70,(0,2)=73,(4,7)=81,(0,1)=87,(0,4)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=9\",\"Find(2)=1, Find(5)=0, Add (2,5)=21 Succeeded, w=30\",\"Find(6)=6, Find(7)=7, Add (6,7)=23 Succeeded, w=53\",\"Find(5)=1, Find(7)=6, Add (5,7)=31 Succeeded, w=84\",\"Find(3)=3, Find(6)=1, Add (3,6)=32 Succeeded, w=116\",\"Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=116\",\"Find(1)=1, Find(5)=1, Add (1,5)=38 Failed, w=116\",\"Find(3)=1, Find(5)=1, Add (3,5)=38 Failed, w=116\",\"Find(2)=1, Find(6)=1, Add (2,6)=42 Failed, w=116\",\"Find(0)=1, Find(6)=1, Add (0,6)=44 Failed, w=116\",\"Find(1)=1, Find(6)=1, Add (1,6)=47 Failed, w=116\",\"Find(5)=1, Find(6)=1, Add (5,6)=50 Failed, w=116\",\"Find(0)=1, Find(7)=1, Add (0,7)=51 Failed, w=116\",\"Find(1)=1, Find(7)=1, Add (1,7)=52 Failed, w=116\",\"Find(4)=4, Find(5)=1, Add (4,5)=52 Succeeded, w=168\",\"Find(2)=1, Find(7)=1, Add (2,7)=60 Failed, w=168\",\"Find(3)=1, Find(4)=1, Add (3,4)=60 Failed, w=168\",\"Find(2)=1, Find(3)=1, Add (2,3)=62 Failed, w=168\",\"Find(1)=1, Find(3)=1, Add (1,3)=63 Failed, w=168\",\"Find(1)=1, Find(4)=1, Add (1,4)=67 Failed, w=168\",\"Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=168\",\"Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=168\",\"Find(4)=1, Find(7)=1, Add (4,7)=81 Failed, w=168\",\"Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=168\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 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\":[[0,1,87],[0,2,73],[0,3,35],[0,4,98],[0,5,6],[0,6,44],[0,7,51],[1,2,3],[1,3,63],[1,4,67],[1,5,38],[1,6,47],[1,7,52],[2,3,62],[2,5,21],[2,6,42],[2,7,60],[3,4,60],[3,5,38],[3,6,32],[4,5,52],[4,6,70],[4,7,81],[5,6,50],[5,7,31],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,5)=6,(2,5)=21,(6,7)=23,(5,7)=31,(3,6)=32,(0,3)=35,(1,5)=38,(3,5)=38,(2,6)=42,(0,6)=44,(1,6)=47,(5,6)=50,(0,7)=51,(1,7)=52,(4,5)=52,(2,7)=60,(3,4)=60,(2,3)=62,(1,3)=63,(1,4)=67,(4,6)=70,(0,2)=73,(4,7)=81,(0,1)=87,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=9\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=1, Find(5)=0, Add (2,5)=21 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=23 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 1, 7: 6}, Find(5)=1, Find(7)=6, Add (5,7)=31 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(3)=3, Find(6)=1, Add (3,6)=32 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(0)=1, Find(3)=1, Add (0,3)=35 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(1)=1, Find(5)=1, Add (1,5)=38 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(3)=1, Find(5)=1, Add (3,5)=38 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(2)=1, Find(6)=1, Add (2,6)=42 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(0)=1, Find(6)=1, Add (0,6)=44 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(1)=1, Find(6)=1, Add (1,6)=47 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 6}, Find(5)=1, Find(6)=1, Add (5,6)=50 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=51 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=52 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=4, Find(5)=1, Add (4,5)=52 Succeeded, w=168\",\"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)=60 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=60 Failed, w=168\",\"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)=62 Failed, w=168\",\"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)=63 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=67 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=168\",\"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)=73 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=81 Failed, w=168\",\"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)=87 Failed, w=168\",\"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)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,25],[0,3,74],[0,4,2],[0,6,22],[0,7,6],[1,2,45],[1,3,43],[1,4,93],[1,5,93],[1,6,31],[1,7,26],[2,3,79],[2,4,59],[2,5,27],[2,6,84],[2,7,16],[3,7,30],[4,5,87],[4,6,46],[5,6,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,74],[0,4,2],[0,6,22],[0,7,6],[1,2,45],[1,3,43],[1,4,93],[1,5,93],[1,6,31],[1,7,26],[2,3,79],[2,4,59],[2,5,27],[2,6,84],[2,7,16],[3,7,30],[4,5,87],[4,6,46],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,74],[0,4,2],[0,6,22],[0,7,6],[1,2,45],[1,3,43],[1,4,93],[1,5,93],[1,6,31],[1,7,26],[2,3,79],[2,4,59],[2,5,27],[2,6,84],[2,7,16],[3,7,30],[4,5,87],[4,6,46],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,7)\",\"Add (2,7)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (3,7)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,74],[0,4,2],[0,6,22],[0,7,6],[1,2,45],[1,3,43],[1,4,93],[1,5,93],[1,6,31],[1,7,26],[2,3,79],[2,4,59],[2,5,27],[2,6,84],[2,7,16],[3,7,30],[4,5,87],[4,6,46],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (0,7)=6, w=8\",\"Add (2,7)=16, w=24\",\"Add (0,6)=22, w=46\",\"Add (0,1)=25, w=71\",\"Add (2,5)=27, w=98\",\"Add (3,7)=30, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,74],[0,4,2],[0,6,22],[0,7,6],[1,2,45],[1,3,43],[1,4,93],[1,5,93],[1,6,31],[1,7,26],[2,3,79],[2,4,59],[2,5,27],[2,6,84],[2,7,16],[3,7,30],[4,5,87],[4,6,46],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (0,7)=6 Succeeded, w=8\",\"Add (2,7)=16 Succeeded, w=24\",\"Add (0,6)=22 Succeeded, w=46\",\"Add (0,1)=25 Succeeded, w=71\",\"Add (1,7)=26 Failed, w=71\",\"Add (2,5)=27 Succeeded, w=98\",\"Add (3,7)=30 Succeeded, w=128\",\"Add (1,6)=31 Failed, w=128\",\"Add (1,3)=43 Failed, w=128\",\"Add (1,2)=45 Failed, w=128\",\"Add (4,6)=46 Failed, w=128\",\"Add (2,4)=59 Failed, w=128\",\"Add (0,3)=74 Failed, w=128\",\"Add (2,3)=79 Failed, w=128\",\"Add (2,6)=84 Failed, w=128\",\"Add (5,6)=84 Failed, w=128\",\"Add (4,5)=87 Failed, w=128\",\"Add (1,4)=93 Failed, w=128\",\"Add (1,5)=93 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,74],[0,4,2],[0,6,22],[0,7,6],[1,2,45],[1,3,43],[1,4,93],[1,5,93],[1,6,31],[1,7,26],[2,3,79],[2,4,59],[2,5,27],[2,6,84],[2,7,16],[3,7,30],[4,5,87],[4,6,46],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(0,7)=6,(2,7)=16,(0,6)=22,(0,1)=25,(1,7)=26,(2,5)=27,(3,7)=30,(1,6)=31,(1,3)=43,(1,2)=45,(4,6)=46,(2,4)=59,(0,3)=74,(2,3)=79,(2,6)=84,(5,6)=84,(4,5)=87,(1,4)=93,(1,5)=93]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(7)=7, Add (0,7)=6 Succeeded, w=8\",\"Find(2)=2, Find(7)=0, Add (2,7)=16 Succeeded, w=24\",\"Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=46\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=71\",\"Find(1)=0, Find(7)=0, Add (1,7)=26 Failed, w=71\",\"Find(2)=0, Find(5)=5, Add (2,5)=27 Succeeded, w=98\",\"Find(3)=3, Find(7)=0, Add (3,7)=30 Succeeded, w=128\",\"Find(1)=0, Find(6)=0, Add (1,6)=31 Failed, w=128\",\"Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=128\",\"Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=128\",\"Find(4)=0, Find(6)=0, Add (4,6)=46 Failed, w=128\",\"Find(2)=0, Find(4)=0, Add (2,4)=59 Failed, w=128\",\"Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=128\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=128\",\"Find(2)=0, Find(6)=0, Add (2,6)=84 Failed, w=128\",\"Find(5)=0, Find(6)=0, Add (5,6)=84 Failed, w=128\",\"Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=128\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=128\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,25],[0,3,74],[0,4,2],[0,6,22],[0,7,6],[1,2,45],[1,3,43],[1,4,93],[1,5,93],[1,6,31],[1,7,26],[2,3,79],[2,4,59],[2,5,27],[2,6,84],[2,7,16],[3,7,30],[4,5,87],[4,6,46],[5,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(0,7)=6,(2,7)=16,(0,6)=22,(0,1)=25,(1,7)=26,(2,5)=27,(3,7)=30,(1,6)=31,(1,3)=43,(1,2)=45,(4,6)=46,(2,4)=59,(0,3)=74,(2,3)=79,(2,6)=84,(5,6)=84,(4,5)=87,(1,4)=93,(1,5)=93]\",\"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: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=16 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=22 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=26 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=27 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=30 Succeeded, w=128\",\"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)=31 Failed, w=128\",\"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)=43 Failed, w=128\",\"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)=45 Failed, w=128\",\"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)=46 Failed, w=128\",\"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)=59 Failed, w=128\",\"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)=74 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=128\",\"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)=84 Failed, w=128\",\"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)=84 Failed, w=128\",\"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)=87 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,4],[0,2,88],[0,3,33],[1,2,5],[1,3,70],[2,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,88],[0,3,33],[1,2,5],[1,3,70],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,88],[0,3,33],[1,2,5],[1,3,70],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,88],[0,3,33],[1,2,5],[1,3,70],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (1,2)=5, w=9\",\"Add (0,3)=33, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,88],[0,3,33],[1,2,5],[1,3,70],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (1,2)=5 Succeeded, w=9\",\"Add (0,3)=33 Succeeded, w=42\",\"Add (2,3)=37 Failed, w=42\",\"Add (1,3)=70 Failed, w=42\",\"Add (0,2)=88 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,88],[0,3,33],[1,2,5],[1,3,70],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,2)=5,(0,3)=33,(2,3)=37,(1,3)=70,(0,2)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(1)=0, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=42\",\"Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=42\",\"Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=42\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[0,2,88],[0,3,33],[1,2,5],[1,3,70],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,2)=5,(0,3)=33,(2,3)=37,(1,3)=70,(0,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,83],[0,2,55],[0,3,88],[1,2,85],[1,3,23],[2,3,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,55],[0,3,88],[1,2,85],[1,3,23],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,55],[0,3,88],[1,2,85],[1,3,23],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,55],[0,3,88],[1,2,85],[1,3,23],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=23, w=23\",\"Add (0,2)=55, w=78\",\"Add (2,3)=61, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,55],[0,3,88],[1,2,85],[1,3,23],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=23 Succeeded, w=23\",\"Add (0,2)=55 Succeeded, w=78\",\"Add (2,3)=61 Succeeded, w=139\",\"Add (0,1)=83 Failed, w=139\",\"Add (1,2)=85 Failed, w=139\",\"Add (0,3)=88 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,55],[0,3,88],[1,2,85],[1,3,23],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=23,(0,2)=55,(2,3)=61,(0,1)=83,(1,2)=85,(0,3)=88]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=78\",\"Find(2)=0, Find(3)=1, Add (2,3)=61 Succeeded, w=139\",\"Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=139\",\"Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=139\",\"Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,55],[0,3,88],[1,2,85],[1,3,23],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=23,(0,2)=55,(2,3)=61,(0,1)=83,(1,2)=85,(0,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(2)=0, Find(3)=1, Add (2,3)=61 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=85 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,46],[0,2,29],[0,3,2],[0,4,42],[1,2,3],[1,3,36],[1,4,45],[2,3,81],[2,4,26],[3,4,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,29],[0,3,2],[0,4,42],[1,2,3],[1,3,36],[1,4,45],[2,3,81],[2,4,26],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,29],[0,3,2],[0,4,42],[1,2,3],[1,3,36],[1,4,45],[2,3,81],[2,4,26],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,29],[0,3,2],[0,4,42],[1,2,3],[1,3,36],[1,4,45],[2,3,81],[2,4,26],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,2)=3, w=5\",\"Add (2,4)=26, w=31\",\"Add (0,2)=29, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,29],[0,3,2],[0,4,42],[1,2,3],[1,3,36],[1,4,45],[2,3,81],[2,4,26],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,2)=3 Succeeded, w=5\",\"Add (2,4)=26 Succeeded, w=31\",\"Add (0,2)=29 Succeeded, w=60\",\"Add (1,3)=36 Failed, w=60\",\"Add (0,4)=42 Failed, w=60\",\"Add (1,4)=45 Failed, w=60\",\"Add (0,1)=46 Failed, w=60\",\"Add (3,4)=48 Failed, w=60\",\"Add (2,3)=81 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,29],[0,3,2],[0,4,42],[1,2,3],[1,3,36],[1,4,45],[2,3,81],[2,4,26],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,2)=3,(2,4)=26,(0,2)=29,(1,3)=36,(0,4)=42,(1,4)=45,(0,1)=46,(3,4)=48,(2,3)=81]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=5\",\"Find(2)=1, Find(4)=4, Add (2,4)=26 Succeeded, w=31\",\"Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=60\",\"Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=60\",\"Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=60\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=60\",\"Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=60\",\"Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=60\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,46],[0,2,29],[0,3,2],[0,4,42],[1,2,3],[1,3,36],[1,4,45],[2,3,81],[2,4,26],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,2)=3,(2,4)=26,(0,2)=29,(1,3)=36,(0,4)=42,(1,4)=45,(0,1)=46,(3,4)=48,(2,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=26 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=29 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=42 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
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