graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
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| messages_l5
listlengths 2
2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,13],[0,5,58],[0,6,36],[1,3,92],[1,5,92],[1,6,38],[1,7,15],[2,5,26],[2,6,48],[2,7,73],[3,5,40],[3,6,24],[3,7,21],[4,5,43],[6,7,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,5,58],[0,6,36],[1,3,92],[1,5,92],[1,6,38],[1,7,15],[2,5,26],[2,6,48],[2,7,73],[3,5,40],[3,6,24],[3,7,21],[4,5,43],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,5,58],[0,6,36],[1,3,92],[1,5,92],[1,6,38],[1,7,15],[2,5,26],[2,6,48],[2,7,73],[3,5,40],[3,6,24],[3,7,21],[4,5,43],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,7)\",\"Add (3,7)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (0,6)\",\"Add (4,5)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,5,58],[0,6,36],[1,3,92],[1,5,92],[1,6,38],[1,7,15],[2,5,26],[2,6,48],[2,7,73],[3,5,40],[3,6,24],[3,7,21],[4,5,43],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (1,7)=15, w=28\",\"Add (3,7)=21, w=49\",\"Add (3,6)=24, w=73\",\"Add (2,5)=26, w=99\",\"Add (0,6)=36, w=135\",\"Add (4,5)=43, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,5,58],[0,6,36],[1,3,92],[1,5,92],[1,6,38],[1,7,15],[2,5,26],[2,6,48],[2,7,73],[3,5,40],[3,6,24],[3,7,21],[4,5,43],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (1,7)=15 Succeeded, w=28\",\"Add (3,7)=21 Succeeded, w=49\",\"Add (3,6)=24 Succeeded, w=73\",\"Add (2,5)=26 Succeeded, w=99\",\"Add (0,6)=36 Succeeded, w=135\",\"Add (1,6)=38 Failed, w=135\",\"Add (3,5)=40 Failed, w=135\",\"Add (4,5)=43 Succeeded, w=178\",\"Add (2,6)=48 Failed, w=178\",\"Add (0,5)=58 Failed, w=178\",\"Add (6,7)=65 Failed, w=178\",\"Add (2,7)=73 Failed, w=178\",\"Add (1,3)=92 Failed, w=178\",\"Add (1,5)=92 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,5,58],[0,6,36],[1,3,92],[1,5,92],[1,6,38],[1,7,15],[2,5,26],[2,6,48],[2,7,73],[3,5,40],[3,6,24],[3,7,21],[4,5,43],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,7)=15,(3,7)=21,(3,6)=24,(2,5)=26,(0,6)=36,(1,6)=38,(3,5)=40,(4,5)=43,(2,6)=48,(0,5)=58,(6,7)=65,(2,7)=73,(1,3)=92,(1,5)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(1)=1, Find(7)=7, Add (1,7)=15 Succeeded, w=28\",\"Find(3)=3, Find(7)=1, Add (3,7)=21 Succeeded, w=49\",\"Find(3)=1, Find(6)=6, Add (3,6)=24 Succeeded, w=73\",\"Find(2)=0, Find(5)=5, Add (2,5)=26 Succeeded, w=99\",\"Find(0)=0, Find(6)=1, Add (0,6)=36 Succeeded, w=135\",\"Find(1)=0, Find(6)=0, Add (1,6)=38 Failed, w=135\",\"Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=135\",\"Find(4)=4, Find(5)=0, Add (4,5)=43 Succeeded, w=178\",\"Find(2)=0, Find(6)=0, Add (2,6)=48 Failed, w=178\",\"Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=178\",\"Find(6)=0, Find(7)=0, Add (6,7)=65 Failed, w=178\",\"Find(2)=0, Find(7)=0, Add (2,7)=73 Failed, w=178\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=178\",\"Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,13],[0,5,58],[0,6,36],[1,3,92],[1,5,92],[1,6,38],[1,7,15],[2,5,26],[2,6,48],[2,7,73],[3,5,40],[3,6,24],[3,7,21],[4,5,43],[6,7,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,7)=15,(3,7)=21,(3,6)=24,(2,5)=26,(0,6)=36,(1,6)=38,(3,5)=40,(4,5)=43,(2,6)=48,(0,5)=58,(6,7)=65,(2,7)=73,(1,3)=92,(1,5)=92]\",\"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)=13 Succeeded, w=13\",\"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)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 6, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=21 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 1, 7: 1}, Find(3)=1, Find(6)=6, Add (3,6)=24 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 1, 7: 1}, Find(2)=0, Find(5)=5, Add (2,5)=26 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 0, 6: 1, 7: 1}, Find(0)=0, Find(6)=1, Add (0,6)=36 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 0, 6: 0, 7: 1}, Find(1)=0, Find(6)=0, Add (1,6)=38 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 1}, Find(3)=0, Find(5)=0, Add (3,5)=40 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(4)=4, Find(5)=0, Add (4,5)=43 Succeeded, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(2)=0, Find(6)=0, Add (2,6)=48 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 1}, Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=178\",\"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)=65 Failed, w=178\",\"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)=73 Failed, w=178\",\"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)=92 Failed, w=178\",\"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)=92 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,5],[0,4,18],[1,2,13],[1,3,6],[1,4,10],[2,3,52],[2,4,12],[3,5,89],[4,5,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,18],[1,2,13],[1,3,6],[1,4,10],[2,3,52],[2,4,12],[3,5,89],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,18],[1,2,13],[1,3,6],[1,4,10],[2,3,52],[2,4,12],[3,5,89],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (4,5)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,18],[1,2,13],[1,3,6],[1,4,10],[2,3,52],[2,4,12],[3,5,89],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,3)=6, w=11\",\"Add (1,4)=10, w=21\",\"Add (2,4)=12, w=33\",\"Add (4,5)=29, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,18],[1,2,13],[1,3,6],[1,4,10],[2,3,52],[2,4,12],[3,5,89],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,3)=6 Succeeded, w=11\",\"Add (1,4)=10 Succeeded, w=21\",\"Add (2,4)=12 Succeeded, w=33\",\"Add (1,2)=13 Failed, w=33\",\"Add (0,4)=18 Failed, w=33\",\"Add (4,5)=29 Succeeded, w=62\",\"Add (2,3)=52 Failed, w=62\",\"Add (3,5)=89 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,18],[1,2,13],[1,3,6],[1,4,10],[2,3,52],[2,4,12],[3,5,89],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,3)=6,(1,4)=10,(2,4)=12,(1,2)=13,(0,4)=18,(4,5)=29,(2,3)=52,(3,5)=89]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=21\",\"Find(2)=0, Find(4)=1, Add (2,4)=12 Succeeded, w=33\",\"Find(1)=0, Find(2)=0, Add (1,2)=13 Failed, w=33\",\"Find(0)=0, Find(4)=0, Add (0,4)=18 Failed, w=33\",\"Find(4)=0, Find(5)=5, Add (4,5)=29 Succeeded, w=62\",\"Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=62\",\"Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,5],[0,4,18],[1,2,13],[1,3,6],[1,4,10],[2,3,52],[2,4,12],[3,5,89],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,3)=6,(1,4)=10,(2,4)=12,(1,2)=13,(0,4)=18,(4,5)=29,(2,3)=52,(3,5)=89]\",\"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: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 5}, Find(2)=0, Find(4)=1, Add (2,4)=12 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 5}, Find(1)=0, Find(2)=0, Add (1,2)=13 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(4)=0, Add (0,4)=18 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=29 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=89 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,31],[0,4,32],[0,5,96],[0,6,90],[2,5,80],[2,6,43],[3,5,87],[4,5,85],[5,6,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,4,32],[0,5,96],[0,6,90],[2,5,80],[2,6,43],[3,5,87],[4,5,85],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,4,32],[0,5,96],[0,6,90],[2,5,80],[2,6,43],[3,5,87],[4,5,85],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (5,6)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,4,32],[0,5,96],[0,6,90],[2,5,80],[2,6,43],[3,5,87],[4,5,85],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=31, w=31\",\"Add (0,4)=32, w=63\",\"Add (2,6)=43, w=106\",\"Add (5,6)=55, w=161\",\"Add (4,5)=85, w=246\",\"Add (3,5)=87, w=333\"],\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,4,32],[0,5,96],[0,6,90],[2,5,80],[2,6,43],[3,5,87],[4,5,85],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=31 Succeeded, w=31\",\"Add (0,4)=32 Succeeded, w=63\",\"Add (2,6)=43 Succeeded, w=106\",\"Add (5,6)=55 Succeeded, w=161\",\"Add (2,5)=80 Failed, w=161\",\"Add (4,5)=85 Succeeded, w=246\",\"Add (3,5)=87 Succeeded, w=333\",\"Add (0,6)=90 Failed, w=333\",\"Add (0,5)=96 Failed, w=333\"],\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,4,32],[0,5,96],[0,6,90],[2,5,80],[2,6,43],[3,5,87],[4,5,85],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=31,(0,4)=32,(2,6)=43,(5,6)=55,(2,5)=80,(4,5)=85,(3,5)=87,(0,6)=90,(0,5)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=63\",\"Find(2)=2, Find(6)=6, Add (2,6)=43 Succeeded, w=106\",\"Find(5)=5, Find(6)=2, Add (5,6)=55 Succeeded, w=161\",\"Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=161\",\"Find(4)=0, Find(5)=2, Add (4,5)=85 Succeeded, w=246\",\"Find(3)=3, Find(5)=0, Add (3,5)=87 Succeeded, w=333\",\"Find(0)=0, Find(6)=0, Add (0,6)=90 Failed, w=333\",\"Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=333\"],\"Answer\":333}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,31],[0,4,32],[0,5,96],[0,6,90],[2,5,80],[2,6,43],[3,5,87],[4,5,85],[5,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=31,(0,4)=32,(2,6)=43,(5,6)=55,(2,5)=80,(4,5)=85,(3,5)=87,(0,6)=90,(0,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=43 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 2}, Find(5)=5, Find(6)=2, Add (5,6)=55 Succeeded, w=161\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=80 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 2}, Find(4)=0, Find(5)=2, Add (4,5)=85 Succeeded, w=246\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2}, Find(3)=3, Find(5)=0, Add (3,5)=87 Succeeded, w=333\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=90 Failed, w=333\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=333\"],\"Answer\":333}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,3,49],[0,4,14],[1,3,38],[1,4,8],[2,3,28],[2,4,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,49],[0,4,14],[1,3,38],[1,4,8],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,49],[0,4,14],[1,3,38],[1,4,8],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,49],[0,4,14],[1,3,38],[1,4,8],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8, w=8\",\"Add (0,4)=14, w=22\",\"Add (2,3)=28, w=50\",\"Add (1,3)=38, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,49],[0,4,14],[1,3,38],[1,4,8],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8 Succeeded, w=8\",\"Add (0,4)=14 Succeeded, w=22\",\"Add (2,3)=28 Succeeded, w=50\",\"Add (0,1)=36 Failed, w=50\",\"Add (1,3)=38 Succeeded, w=88\",\"Add (2,4)=47 Failed, w=88\",\"Add (0,3)=49 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,49],[0,4,14],[1,3,38],[1,4,8],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(0,4)=14,(2,3)=28,(0,1)=36,(1,3)=38,(2,4)=47,(0,3)=49]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=1, Add (0,4)=14 Succeeded, w=22\",\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=50\",\"Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=50\",\"Find(1)=1, Find(3)=2, Add (1,3)=38 Succeeded, w=88\",\"Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=88\",\"Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,3,49],[0,4,14],[1,3,38],[1,4,8],[2,3,28],[2,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(0,4)=14,(2,3)=28,(0,1)=36,(1,3)=38,(2,4)=47,(0,3)=49]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=14 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=36 Failed, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(1)=1, Find(3)=2, Add (1,3)=38 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=47 Failed, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,12],[0,2,18],[0,3,28],[0,4,89],[0,5,7],[0,6,79],[0,7,64],[1,2,96],[1,3,29],[1,4,25],[1,5,15],[1,6,76],[1,7,11],[2,3,68],[2,4,42],[2,5,76],[2,6,82],[2,7,25],[3,4,56],[3,5,57],[3,6,46],[3,7,96],[4,5,83],[4,6,34],[4,7,90],[5,6,83],[5,7,39],[6,7,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,18],[0,3,28],[0,4,89],[0,5,7],[0,6,79],[0,7,64],[1,2,96],[1,3,29],[1,4,25],[1,5,15],[1,6,76],[1,7,11],[2,3,68],[2,4,42],[2,5,76],[2,6,82],[2,7,25],[3,4,56],[3,5,57],[3,6,46],[3,7,96],[4,5,83],[4,6,34],[4,7,90],[5,6,83],[5,7,39],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,18],[0,3,28],[0,4,89],[0,5,7],[0,6,79],[0,7,64],[1,2,96],[1,3,29],[1,4,25],[1,5,15],[1,6,76],[1,7,11],[2,3,68],[2,4,42],[2,5,76],[2,6,82],[2,7,25],[3,4,56],[3,5,57],[3,6,46],[3,7,96],[4,5,83],[4,6,34],[4,7,90],[5,6,83],[5,7,39],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,7)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (4,6)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,18],[0,3,28],[0,4,89],[0,5,7],[0,6,79],[0,7,64],[1,2,96],[1,3,29],[1,4,25],[1,5,15],[1,6,76],[1,7,11],[2,3,68],[2,4,42],[2,5,76],[2,6,82],[2,7,25],[3,4,56],[3,5,57],[3,6,46],[3,7,96],[4,5,83],[4,6,34],[4,7,90],[5,6,83],[5,7,39],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=7, w=7\",\"Add (1,7)=11, w=18\",\"Add (0,1)=12, w=30\",\"Add (0,2)=18, w=48\",\"Add (1,4)=25, w=73\",\"Add (0,3)=28, w=101\",\"Add (4,6)=34, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,18],[0,3,28],[0,4,89],[0,5,7],[0,6,79],[0,7,64],[1,2,96],[1,3,29],[1,4,25],[1,5,15],[1,6,76],[1,7,11],[2,3,68],[2,4,42],[2,5,76],[2,6,82],[2,7,25],[3,4,56],[3,5,57],[3,6,46],[3,7,96],[4,5,83],[4,6,34],[4,7,90],[5,6,83],[5,7,39],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=7 Succeeded, w=7\",\"Add (1,7)=11 Succeeded, w=18\",\"Add (0,1)=12 Succeeded, w=30\",\"Add (1,5)=15 Failed, w=30\",\"Add (0,2)=18 Succeeded, w=48\",\"Add (1,4)=25 Succeeded, w=73\",\"Add (2,7)=25 Failed, w=73\",\"Add (0,3)=28 Succeeded, w=101\",\"Add (1,3)=29 Failed, w=101\",\"Add (4,6)=34 Succeeded, w=135\",\"Add (6,7)=38 Failed, w=135\",\"Add (5,7)=39 Failed, w=135\",\"Add (2,4)=42 Failed, w=135\",\"Add (3,6)=46 Failed, w=135\",\"Add (3,4)=56 Failed, w=135\",\"Add (3,5)=57 Failed, w=135\",\"Add (0,7)=64 Failed, w=135\",\"Add (2,3)=68 Failed, w=135\",\"Add (1,6)=76 Failed, w=135\",\"Add (2,5)=76 Failed, w=135\",\"Add (0,6)=79 Failed, w=135\",\"Add (2,6)=82 Failed, w=135\",\"Add (4,5)=83 Failed, w=135\",\"Add (5,6)=83 Failed, w=135\",\"Add (0,4)=89 Failed, w=135\",\"Add (4,7)=90 Failed, w=135\",\"Add (1,2)=96 Failed, w=135\",\"Add (3,7)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,18],[0,3,28],[0,4,89],[0,5,7],[0,6,79],[0,7,64],[1,2,96],[1,3,29],[1,4,25],[1,5,15],[1,6,76],[1,7,11],[2,3,68],[2,4,42],[2,5,76],[2,6,82],[2,7,25],[3,4,56],[3,5,57],[3,6,46],[3,7,96],[4,5,83],[4,6,34],[4,7,90],[5,6,83],[5,7,39],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=7,(1,7)=11,(0,1)=12,(1,5)=15,(0,2)=18,(1,4)=25,(2,7)=25,(0,3)=28,(1,3)=29,(4,6)=34,(6,7)=38,(5,7)=39,(2,4)=42,(3,6)=46,(3,4)=56,(3,5)=57,(0,7)=64,(2,3)=68,(1,6)=76,(2,5)=76,(0,6)=79,(2,6)=82,(4,5)=83,(5,6)=83,(0,4)=89,(4,7)=90,(1,2)=96,(3,7)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=7\",\"Find(1)=1, Find(7)=7, Add (1,7)=11 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=30\",\"Find(1)=0, Find(5)=0, Add (1,5)=15 Failed, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=48\",\"Find(1)=0, Find(4)=4, Add (1,4)=25 Succeeded, w=73\",\"Find(2)=0, Find(7)=0, Add (2,7)=25 Failed, w=73\",\"Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=101\",\"Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=101\",\"Find(4)=0, Find(6)=6, Add (4,6)=34 Succeeded, w=135\",\"Find(6)=0, Find(7)=0, Add (6,7)=38 Failed, w=135\",\"Find(5)=0, Find(7)=0, Add (5,7)=39 Failed, w=135\",\"Find(2)=0, Find(4)=0, Add (2,4)=42 Failed, w=135\",\"Find(3)=0, Find(6)=0, Add (3,6)=46 Failed, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=56 Failed, w=135\",\"Find(3)=0, Find(5)=0, Add (3,5)=57 Failed, w=135\",\"Find(0)=0, Find(7)=0, Add (0,7)=64 Failed, w=135\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=135\",\"Find(1)=0, Find(6)=0, Add (1,6)=76 Failed, w=135\",\"Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=135\",\"Find(0)=0, Find(6)=0, Add (0,6)=79 Failed, w=135\",\"Find(2)=0, Find(6)=0, Add (2,6)=82 Failed, w=135\",\"Find(4)=0, Find(5)=0, Add (4,5)=83 Failed, w=135\",\"Find(5)=0, Find(6)=0, Add (5,6)=83 Failed, w=135\",\"Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=135\",\"Find(4)=0, Find(7)=0, Add (4,7)=90 Failed, w=135\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=135\",\"Find(3)=0, Find(7)=0, Add (3,7)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,18],[0,3,28],[0,4,89],[0,5,7],[0,6,79],[0,7,64],[1,2,96],[1,3,29],[1,4,25],[1,5,15],[1,6,76],[1,7,11],[2,3,68],[2,4,42],[2,5,76],[2,6,82],[2,7,25],[3,4,56],[3,5,57],[3,6,46],[3,7,96],[4,5,83],[4,6,34],[4,7,90],[5,6,83],[5,7,39],[6,7,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=7,(1,7)=11,(0,1)=12,(1,5)=15,(0,2)=18,(1,4)=25,(2,7)=25,(0,3)=28,(1,3)=29,(4,6)=34,(6,7)=38,(5,7)=39,(2,4)=42,(3,6)=46,(3,4)=56,(3,5)=57,(0,7)=64,(2,3)=68,(1,6)=76,(2,5)=76,(0,6)=79,(2,6)=82,(4,5)=83,(5,6)=83,(0,4)=89,(4,7)=90,(1,2)=96,(3,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 1}, Find(1)=0, Find(5)=0, Add (1,5)=15 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 1}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 1}, Find(1)=0, Find(4)=4, Add (1,4)=25 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=25 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=28 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=101\",\"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)=34 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=38 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=39 Failed, w=135\",\"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)=42 Failed, w=135\",\"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)=46 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=56 Failed, w=135\",\"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)=57 Failed, w=135\",\"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)=64 Failed, w=135\",\"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)=68 Failed, w=135\",\"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)=76 Failed, w=135\",\"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)=76 Failed, w=135\",\"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)=79 Failed, w=135\",\"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)=82 Failed, w=135\",\"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)=83 Failed, w=135\",\"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)=83 Failed, w=135\",\"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)=89 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=90 Failed, w=135\",\"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)=96 Failed, w=135\",\"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)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,35],[0,3,9],[0,5,81],[1,3,90],[1,4,1],[1,5,87],[2,4,87],[2,5,73],[3,4,25],[3,5,28],[4,5,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,3,9],[0,5,81],[1,3,90],[1,4,1],[1,5,87],[2,4,87],[2,5,73],[3,4,25],[3,5,28],[4,5,0]]}",
"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],\"edges\":[[0,1,35],[0,3,9],[0,5,81],[1,3,90],[1,4,1],[1,5,87],[2,4,87],[2,5,73],[3,4,25],[3,5,28],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,3,9],[0,5,81],[1,3,90],[1,4,1],[1,5,87],[2,4,87],[2,5,73],[3,4,25],[3,5,28],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (1,4)=1, w=1\",\"Add (0,3)=9, w=10\",\"Add (3,4)=25, w=35\",\"Add (2,5)=73, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,3,9],[0,5,81],[1,3,90],[1,4,1],[1,5,87],[2,4,87],[2,5,73],[3,4,25],[3,5,28],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (1,4)=1 Succeeded, w=1\",\"Add (0,3)=9 Succeeded, w=10\",\"Add (3,4)=25 Succeeded, w=35\",\"Add (3,5)=28 Failed, w=35\",\"Add (0,1)=35 Failed, w=35\",\"Add (2,5)=73 Succeeded, w=108\",\"Add (0,5)=81 Failed, w=108\",\"Add (1,5)=87 Failed, w=108\",\"Add (2,4)=87 Failed, w=108\",\"Add (1,3)=90 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],\"edges\":[[0,1,35],[0,3,9],[0,5,81],[1,3,90],[1,4,1],[1,5,87],[2,4,87],[2,5,73],[3,4,25],[3,5,28],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(1,4)=1,(0,3)=9,(3,4)=25,(3,5)=28,(0,1)=35,(2,5)=73,(0,5)=81,(1,5)=87,(2,4)=87,(1,3)=90]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=10\",\"Find(3)=0, Find(4)=4, Add (3,4)=25 Succeeded, w=35\",\"Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=35\",\"Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=35\",\"Find(2)=2, Find(5)=0, Add (2,5)=73 Succeeded, w=108\",\"Find(0)=0, Find(5)=0, Add (0,5)=81 Failed, w=108\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=108\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=108\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 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],\"edges\":[[0,1,35],[0,3,9],[0,5,81],[1,3,90],[1,4,1],[1,5,87],[2,4,87],[2,5,73],[3,4,25],[3,5,28],[4,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(1,4)=1,(0,3)=9,(3,4)=25,(3,5)=28,(0,1)=35,(2,5)=73,(0,5)=81,(1,5)=87,(2,4)=87,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 4, 5: 4}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 0, 5: 4}, Find(3)=0, Find(4)=4, Add (3,4)=25 Succeeded, w=35\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=28 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=73 Succeeded, w=108\",\"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=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,39],[0,2,34],[0,3,24],[0,4,92],[0,5,67],[0,6,27],[0,7,37],[1,2,80],[1,3,75],[1,4,18],[1,5,42],[1,6,26],[1,7,94],[2,3,84],[2,4,56],[2,5,93],[2,6,50],[2,7,58],[3,4,2],[3,5,99],[3,6,51],[3,7,71],[4,5,100],[4,6,6],[4,7,60],[5,6,37],[5,7,98],[6,7,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,34],[0,3,24],[0,4,92],[0,5,67],[0,6,27],[0,7,37],[1,2,80],[1,3,75],[1,4,18],[1,5,42],[1,6,26],[1,7,94],[2,3,84],[2,4,56],[2,5,93],[2,6,50],[2,7,58],[3,4,2],[3,5,99],[3,6,51],[3,7,71],[4,5,100],[4,6,6],[4,7,60],[5,6,37],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,34],[0,3,24],[0,4,92],[0,5,67],[0,6,27],[0,7,37],[1,2,80],[1,3,75],[1,4,18],[1,5,42],[1,6,26],[1,7,94],[2,3,84],[2,4,56],[2,5,93],[2,6,50],[2,7,58],[3,4,2],[3,5,99],[3,6,51],[3,7,71],[4,5,100],[4,6,6],[4,7,60],[5,6,37],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,6)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,7)\",\"Add (5,6)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,34],[0,3,24],[0,4,92],[0,5,67],[0,6,27],[0,7,37],[1,2,80],[1,3,75],[1,4,18],[1,5,42],[1,6,26],[1,7,94],[2,3,84],[2,4,56],[2,5,93],[2,6,50],[2,7,58],[3,4,2],[3,5,99],[3,6,51],[3,7,71],[4,5,100],[4,6,6],[4,7,60],[5,6,37],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (4,6)=6, w=8\",\"Add (1,4)=18, w=26\",\"Add (0,3)=24, w=50\",\"Add (0,2)=34, w=84\",\"Add (0,7)=37, w=121\",\"Add (5,6)=37, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,34],[0,3,24],[0,4,92],[0,5,67],[0,6,27],[0,7,37],[1,2,80],[1,3,75],[1,4,18],[1,5,42],[1,6,26],[1,7,94],[2,3,84],[2,4,56],[2,5,93],[2,6,50],[2,7,58],[3,4,2],[3,5,99],[3,6,51],[3,7,71],[4,5,100],[4,6,6],[4,7,60],[5,6,37],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (4,6)=6 Succeeded, w=8\",\"Add (1,4)=18 Succeeded, w=26\",\"Add (0,3)=24 Succeeded, w=50\",\"Add (1,6)=26 Failed, w=50\",\"Add (0,6)=27 Failed, w=50\",\"Add (0,2)=34 Succeeded, w=84\",\"Add (0,7)=37 Succeeded, w=121\",\"Add (5,6)=37 Succeeded, w=158\",\"Add (0,1)=39 Failed, w=158\",\"Add (1,5)=42 Failed, w=158\",\"Add (2,6)=50 Failed, w=158\",\"Add (3,6)=51 Failed, w=158\",\"Add (2,4)=56 Failed, w=158\",\"Add (2,7)=58 Failed, w=158\",\"Add (4,7)=60 Failed, w=158\",\"Add (0,5)=67 Failed, w=158\",\"Add (3,7)=71 Failed, w=158\",\"Add (1,3)=75 Failed, w=158\",\"Add (1,2)=80 Failed, w=158\",\"Add (2,3)=84 Failed, w=158\",\"Add (6,7)=85 Failed, w=158\",\"Add (0,4)=92 Failed, w=158\",\"Add (2,5)=93 Failed, w=158\",\"Add (1,7)=94 Failed, w=158\",\"Add (5,7)=98 Failed, w=158\",\"Add (3,5)=99 Failed, w=158\",\"Add (4,5)=100 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,34],[0,3,24],[0,4,92],[0,5,67],[0,6,27],[0,7,37],[1,2,80],[1,3,75],[1,4,18],[1,5,42],[1,6,26],[1,7,94],[2,3,84],[2,4,56],[2,5,93],[2,6,50],[2,7,58],[3,4,2],[3,5,99],[3,6,51],[3,7,71],[4,5,100],[4,6,6],[4,7,60],[5,6,37],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(4,6)=6,(1,4)=18,(0,3)=24,(1,6)=26,(0,6)=27,(0,2)=34,(0,7)=37,(5,6)=37,(0,1)=39,(1,5)=42,(2,6)=50,(3,6)=51,(2,4)=56,(2,7)=58,(4,7)=60,(0,5)=67,(3,7)=71,(1,3)=75,(1,2)=80,(2,3)=84,(6,7)=85,(0,4)=92,(2,5)=93,(1,7)=94,(5,7)=98,(3,5)=99,(4,5)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(4)=3, Find(6)=6, Add (4,6)=6 Succeeded, w=8\",\"Find(1)=1, Find(4)=3, Add (1,4)=18 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=50\",\"Find(1)=3, Find(6)=3, Add (1,6)=26 Failed, w=50\",\"Find(0)=3, Find(6)=3, Add (0,6)=27 Failed, w=50\",\"Find(0)=3, Find(2)=2, Add (0,2)=34 Succeeded, w=84\",\"Find(0)=3, Find(7)=7, Add (0,7)=37 Succeeded, w=121\",\"Find(5)=5, Find(6)=3, Add (5,6)=37 Succeeded, w=158\",\"Find(0)=3, Find(1)=3, Add (0,1)=39 Failed, w=158\",\"Find(1)=3, Find(5)=3, Add (1,5)=42 Failed, w=158\",\"Find(2)=3, Find(6)=3, Add (2,6)=50 Failed, w=158\",\"Find(3)=3, Find(6)=3, Add (3,6)=51 Failed, w=158\",\"Find(2)=3, Find(4)=3, Add (2,4)=56 Failed, w=158\",\"Find(2)=3, Find(7)=3, Add (2,7)=58 Failed, w=158\",\"Find(4)=3, Find(7)=3, Add (4,7)=60 Failed, w=158\",\"Find(0)=3, Find(5)=3, Add (0,5)=67 Failed, w=158\",\"Find(3)=3, Find(7)=3, Add (3,7)=71 Failed, w=158\",\"Find(1)=3, Find(3)=3, Add (1,3)=75 Failed, w=158\",\"Find(1)=3, Find(2)=3, Add (1,2)=80 Failed, w=158\",\"Find(2)=3, Find(3)=3, Add (2,3)=84 Failed, w=158\",\"Find(6)=3, Find(7)=3, Add (6,7)=85 Failed, w=158\",\"Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=158\",\"Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=158\",\"Find(1)=3, Find(7)=3, Add (1,7)=94 Failed, w=158\",\"Find(5)=3, Find(7)=3, Add (5,7)=98 Failed, w=158\",\"Find(3)=3, Find(5)=3, Add (3,5)=99 Failed, w=158\",\"Find(4)=3, Find(5)=3, Add (4,5)=100 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,2,34],[0,3,24],[0,4,92],[0,5,67],[0,6,27],[0,7,37],[1,2,80],[1,3,75],[1,4,18],[1,5,42],[1,6,26],[1,7,94],[2,3,84],[2,4,56],[2,5,93],[2,6,50],[2,7,58],[3,4,2],[3,5,99],[3,6,51],[3,7,71],[4,5,100],[4,6,6],[4,7,60],[5,6,37],[5,7,98],[6,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(4,6)=6,(1,4)=18,(0,3)=24,(1,6)=26,(0,6)=27,(0,2)=34,(0,7)=37,(5,6)=37,(0,1)=39,(1,5)=42,(2,6)=50,(3,6)=51,(2,4)=56,(2,7)=58,(4,7)=60,(0,5)=67,(3,7)=71,(1,3)=75,(1,2)=80,(2,3)=84,(6,7)=85,(0,4)=92,(2,5)=93,(1,7)=94,(5,7)=98,(3,5)=99,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(4)=3, Find(6)=6, Add (4,6)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(1)=1, Find(4)=3, Add (1,4)=18 Succeeded, w=26\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=50\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(1)=3, Find(6)=3, Add (1,6)=26 Failed, w=50\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(0)=3, Find(6)=3, Add (0,6)=27 Failed, w=50\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(0)=3, Find(2)=2, Add (0,2)=34 Succeeded, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=3, Find(7)=7, Add (0,7)=37 Succeeded, w=121\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=5, Find(6)=3, Add (5,6)=37 Succeeded, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=39 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=42 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=50 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=51 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=56 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=58 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=60 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=67 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=71 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=75 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=80 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=84 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=85 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=94 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=98 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=99 Failed, w=158\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=100 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,11],[0,3,86],[0,4,34],[0,5,90],[0,6,77],[0,7,86],[1,2,20],[1,4,18],[1,5,67],[1,6,74],[1,7,93],[2,4,29],[2,5,79],[2,7,51],[3,4,88],[3,5,79],[3,6,53],[3,7,98],[4,5,84],[4,6,37],[4,7,38],[5,7,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,86],[0,4,34],[0,5,90],[0,6,77],[0,7,86],[1,2,20],[1,4,18],[1,5,67],[1,6,74],[1,7,93],[2,4,29],[2,5,79],[2,7,51],[3,4,88],[3,5,79],[3,6,53],[3,7,98],[4,5,84],[4,6,37],[4,7,38],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,86],[0,4,34],[0,5,90],[0,6,77],[0,7,86],[1,2,20],[1,4,18],[1,5,67],[1,6,74],[1,7,93],[2,4,29],[2,5,79],[2,7,51],[3,4,88],[3,5,79],[3,6,53],[3,7,98],[4,5,84],[4,6,37],[4,7,38],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (4,7)\",\"Add (3,6)\",\"Add (1,5)\"],\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,86],[0,4,34],[0,5,90],[0,6,77],[0,7,86],[1,2,20],[1,4,18],[1,5,67],[1,6,74],[1,7,93],[2,4,29],[2,5,79],[2,7,51],[3,4,88],[3,5,79],[3,6,53],[3,7,98],[4,5,84],[4,6,37],[4,7,38],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (1,4)=18, w=29\",\"Add (1,2)=20, w=49\",\"Add (4,6)=37, w=86\",\"Add (4,7)=38, w=124\",\"Add (3,6)=53, w=177\",\"Add (1,5)=67, w=244\"],\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,86],[0,4,34],[0,5,90],[0,6,77],[0,7,86],[1,2,20],[1,4,18],[1,5,67],[1,6,74],[1,7,93],[2,4,29],[2,5,79],[2,7,51],[3,4,88],[3,5,79],[3,6,53],[3,7,98],[4,5,84],[4,6,37],[4,7,38],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (1,4)=18 Succeeded, w=29\",\"Add (1,2)=20 Succeeded, w=49\",\"Add (2,4)=29 Failed, w=49\",\"Add (0,4)=34 Failed, w=49\",\"Add (4,6)=37 Succeeded, w=86\",\"Add (4,7)=38 Succeeded, w=124\",\"Add (2,7)=51 Failed, w=124\",\"Add (3,6)=53 Succeeded, w=177\",\"Add (1,5)=67 Succeeded, w=244\",\"Add (1,6)=74 Failed, w=244\",\"Add (0,6)=77 Failed, w=244\",\"Add (2,5)=79 Failed, w=244\",\"Add (3,5)=79 Failed, w=244\",\"Add (4,5)=84 Failed, w=244\",\"Add (0,3)=86 Failed, w=244\",\"Add (0,7)=86 Failed, w=244\",\"Add (3,4)=88 Failed, w=244\",\"Add (0,5)=90 Failed, w=244\",\"Add (5,7)=91 Failed, w=244\",\"Add (1,7)=93 Failed, w=244\",\"Add (3,7)=98 Failed, w=244\"],\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,86],[0,4,34],[0,5,90],[0,6,77],[0,7,86],[1,2,20],[1,4,18],[1,5,67],[1,6,74],[1,7,93],[2,4,29],[2,5,79],[2,7,51],[3,4,88],[3,5,79],[3,6,53],[3,7,98],[4,5,84],[4,6,37],[4,7,38],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(1,4)=18,(1,2)=20,(2,4)=29,(0,4)=34,(4,6)=37,(4,7)=38,(2,7)=51,(3,6)=53,(1,5)=67,(1,6)=74,(0,6)=77,(2,5)=79,(3,5)=79,(4,5)=84,(0,3)=86,(0,7)=86,(3,4)=88,(0,5)=90,(5,7)=91,(1,7)=93,(3,7)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=29\",\"Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=49\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=49\",\"Find(0)=0, Find(4)=0, Add (0,4)=34 Failed, w=49\",\"Find(4)=0, Find(6)=6, Add (4,6)=37 Succeeded, w=86\",\"Find(4)=0, Find(7)=7, Add (4,7)=38 Succeeded, w=124\",\"Find(2)=0, Find(7)=0, Add (2,7)=51 Failed, w=124\",\"Find(3)=3, Find(6)=0, Add (3,6)=53 Succeeded, w=177\",\"Find(1)=0, Find(5)=5, Add (1,5)=67 Succeeded, w=244\",\"Find(1)=0, Find(6)=0, Add (1,6)=74 Failed, w=244\",\"Find(0)=0, Find(6)=0, Add (0,6)=77 Failed, w=244\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=244\",\"Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=244\",\"Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=244\",\"Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=244\",\"Find(0)=0, Find(7)=0, Add (0,7)=86 Failed, w=244\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=244\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=244\",\"Find(5)=0, Find(7)=0, Add (5,7)=91 Failed, w=244\",\"Find(1)=0, Find(7)=0, Add (1,7)=93 Failed, w=244\",\"Find(3)=0, Find(7)=0, Add (3,7)=98 Failed, w=244\"],\"Answer\":244}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,86],[0,4,34],[0,5,90],[0,6,77],[0,7,86],[1,2,20],[1,4,18],[1,5,67],[1,6,74],[1,7,93],[2,4,29],[2,5,79],[2,7,51],[3,4,88],[3,5,79],[3,6,53],[3,7,98],[4,5,84],[4,6,37],[4,7,38],[5,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(1,4)=18,(1,2)=20,(2,4)=29,(0,4)=34,(4,6)=37,(4,7)=38,(2,7)=51,(3,6)=53,(1,5)=67,(1,6)=74,(0,6)=77,(2,5)=79,(3,5)=79,(4,5)=84,(0,3)=86,(0,7)=86,(3,4)=88,(0,5)=90,(5,7)=91,(1,7)=93,(3,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(1)=0, Find(4)=4, Add (1,4)=18 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(1)=0, Find(2)=2, Add (1,2)=20 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=0, Add (0,4)=34 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(4)=0, Find(6)=6, Add (4,6)=37 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=38 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=51 Failed, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=3, Find(6)=0, Add (3,6)=53 Succeeded, w=177\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=5, Add (1,5)=67 Succeeded, w=244\",\"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)=74 Failed, w=244\",\"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)=77 Failed, w=244\",\"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)=79 Failed, w=244\",\"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)=79 Failed, w=244\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=244\",\"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)=86 Failed, w=244\",\"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)=86 Failed, w=244\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=244\",\"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)=90 Failed, w=244\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=91 Failed, w=244\",\"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)=93 Failed, w=244\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=98 Failed, w=244\"],\"Answer\":244}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,38],[0,2,6],[1,2,63],[1,3,40],[2,3,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,6],[1,2,63],[1,3,40],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,6],[1,2,63],[1,3,40],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,6],[1,2,63],[1,3,40],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (0,1)=38, w=44\",\"Add (1,3)=40, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,6],[1,2,63],[1,3,40],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (0,1)=38 Succeeded, w=44\",\"Add (1,3)=40 Succeeded, w=84\",\"Add (2,3)=46 Failed, w=84\",\"Add (1,2)=63 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,6],[1,2,63],[1,3,40],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(0,1)=38,(1,3)=40,(2,3)=46,(1,2)=63]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=44\",\"Find(1)=0, Find(3)=3, Add (1,3)=40 Succeeded, w=84\",\"Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=84\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,38],[0,2,6],[1,2,63],[1,3,40],[2,3,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(0,1)=38,(1,3)=40,(2,3)=46,(1,2)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=40 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,4,40],[1,2,41],[1,4,82],[1,5,23],[2,3,40],[2,4,21],[2,5,15],[4,5,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,4,40],[1,2,41],[1,4,82],[1,5,23],[2,3,40],[2,4,21],[2,5,15],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,4,40],[1,2,41],[1,4,82],[1,5,23],[2,3,40],[2,4,21],[2,5,15],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,4,40],[1,2,41],[1,4,82],[1,5,23],[2,3,40],[2,4,21],[2,5,15],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=15, w=15\",\"Add (2,4)=21, w=36\",\"Add (1,5)=23, w=59\",\"Add (0,4)=40, w=99\",\"Add (2,3)=40, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,4,40],[1,2,41],[1,4,82],[1,5,23],[2,3,40],[2,4,21],[2,5,15],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=15 Succeeded, w=15\",\"Add (2,4)=21 Succeeded, w=36\",\"Add (1,5)=23 Succeeded, w=59\",\"Add (0,4)=40 Succeeded, w=99\",\"Add (2,3)=40 Succeeded, w=139\",\"Add (1,2)=41 Failed, w=139\",\"Add (0,1)=72 Failed, w=139\",\"Add (1,4)=82 Failed, w=139\",\"Add (4,5)=82 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,4,40],[1,2,41],[1,4,82],[1,5,23],[2,3,40],[2,4,21],[2,5,15],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=15,(2,4)=21,(1,5)=23,(0,4)=40,(2,3)=40,(1,2)=41,(0,1)=72,(1,4)=82,(4,5)=82]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=36\",\"Find(1)=1, Find(5)=2, Add (1,5)=23 Succeeded, w=59\",\"Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=99\",\"Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=139\",\"Find(1)=2, Find(2)=2, Add (1,2)=41 Failed, w=139\",\"Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=139\",\"Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=139\",\"Find(4)=2, Find(5)=2, Add (4,5)=82 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,4,40],[1,2,41],[1,4,82],[1,5,23],[2,3,40],[2,4,21],[2,5,15],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=15,(2,4)=21,(1,5)=23,(0,4)=40,(2,3)=40,(1,2)=41,(0,1)=72,(1,4)=82,(4,5)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=36\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=23 Succeeded, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=41 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=82 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=82 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,62],[0,2,83],[0,4,41],[0,6,20],[1,2,86],[1,3,40],[1,4,45],[1,6,56],[2,3,48],[2,4,48],[2,5,39],[2,6,75],[3,5,22],[4,5,39],[4,6,10],[5,6,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,83],[0,4,41],[0,6,20],[1,2,86],[1,3,40],[1,4,45],[1,6,56],[2,3,48],[2,4,48],[2,5,39],[2,6,75],[3,5,22],[4,5,39],[4,6,10],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,83],[0,4,41],[0,6,20],[1,2,86],[1,3,40],[1,4,45],[1,6,56],[2,3,48],[2,4,48],[2,5,39],[2,6,75],[3,5,22],[4,5,39],[4,6,10],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,83],[0,4,41],[0,6,20],[1,2,86],[1,3,40],[1,4,45],[1,6,56],[2,3,48],[2,4,48],[2,5,39],[2,6,75],[3,5,22],[4,5,39],[4,6,10],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7, w=7\",\"Add (4,6)=10, w=17\",\"Add (0,6)=20, w=37\",\"Add (3,5)=22, w=59\",\"Add (2,5)=39, w=98\",\"Add (1,3)=40, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,83],[0,4,41],[0,6,20],[1,2,86],[1,3,40],[1,4,45],[1,6,56],[2,3,48],[2,4,48],[2,5,39],[2,6,75],[3,5,22],[4,5,39],[4,6,10],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7 Succeeded, w=7\",\"Add (4,6)=10 Succeeded, w=17\",\"Add (0,6)=20 Succeeded, w=37\",\"Add (3,5)=22 Succeeded, w=59\",\"Add (2,5)=39 Succeeded, w=98\",\"Add (4,5)=39 Failed, w=98\",\"Add (1,3)=40 Succeeded, w=138\",\"Add (0,4)=41 Failed, w=138\",\"Add (1,4)=45 Failed, w=138\",\"Add (2,3)=48 Failed, w=138\",\"Add (2,4)=48 Failed, w=138\",\"Add (1,6)=56 Failed, w=138\",\"Add (0,1)=62 Failed, w=138\",\"Add (2,6)=75 Failed, w=138\",\"Add (0,2)=83 Failed, w=138\",\"Add (1,2)=86 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,83],[0,4,41],[0,6,20],[1,2,86],[1,3,40],[1,4,45],[1,6,56],[2,3,48],[2,4,48],[2,5,39],[2,6,75],[3,5,22],[4,5,39],[4,6,10],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(4,6)=10,(0,6)=20,(3,5)=22,(2,5)=39,(4,5)=39,(1,3)=40,(0,4)=41,(1,4)=45,(2,3)=48,(2,4)=48,(1,6)=56,(0,1)=62,(2,6)=75,(0,2)=83,(1,2)=86]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Find(4)=4, Find(6)=5, Add (4,6)=10 Succeeded, w=17\",\"Find(0)=0, Find(6)=5, Add (0,6)=20 Succeeded, w=37\",\"Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=59\",\"Find(2)=2, Find(5)=5, Add (2,5)=39 Succeeded, w=98\",\"Find(4)=5, Find(5)=5, Add (4,5)=39 Failed, w=98\",\"Find(1)=1, Find(3)=5, Add (1,3)=40 Succeeded, w=138\",\"Find(0)=5, Find(4)=5, Add (0,4)=41 Failed, w=138\",\"Find(1)=5, Find(4)=5, Add (1,4)=45 Failed, w=138\",\"Find(2)=5, Find(3)=5, Add (2,3)=48 Failed, w=138\",\"Find(2)=5, Find(4)=5, Add (2,4)=48 Failed, w=138\",\"Find(1)=5, Find(6)=5, Add (1,6)=56 Failed, w=138\",\"Find(0)=5, Find(1)=5, Add (0,1)=62 Failed, w=138\",\"Find(2)=5, Find(6)=5, Add (2,6)=75 Failed, w=138\",\"Find(0)=5, Find(2)=5, Add (0,2)=83 Failed, w=138\",\"Find(1)=5, Find(2)=5, Add (1,2)=86 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,83],[0,4,41],[0,6,20],[1,2,86],[1,3,40],[1,4,45],[1,6,56],[2,3,48],[2,4,48],[2,5,39],[2,6,75],[3,5,22],[4,5,39],[4,6,10],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(4,6)=10,(0,6)=20,(3,5)=22,(2,5)=39,(4,5)=39,(1,3)=40,(0,4)=41,(1,4)=45,(2,3)=48,(2,4)=48,(1,6)=56,(0,1)=62,(2,6)=75,(0,2)=83,(1,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(6)=5, Add (4,6)=10 Succeeded, w=17\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=20 Succeeded, w=37\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=3, Find(5)=5, Add (3,5)=22 Succeeded, w=59\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=39 Succeeded, w=98\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=39 Failed, w=98\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=1, Find(3)=5, Add (1,3)=40 Succeeded, w=138\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=41 Failed, w=138\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=5, Add (1,4)=45 Failed, w=138\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=48 Failed, w=138\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=48 Failed, w=138\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(6)=5, Add (1,6)=56 Failed, w=138\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(1)=5, Add (0,1)=62 Failed, w=138\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=75 Failed, w=138\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(2)=5, Add (0,2)=83 Failed, w=138\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(2)=5, Add (1,2)=86 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,92],[0,4,65],[1,2,66],[1,3,89],[1,4,25],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[0,4,65],[1,2,66],[1,3,89],[1,4,25],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[0,4,65],[1,2,66],[1,3,89],[1,4,25],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[0,4,65],[1,2,66],[1,3,89],[1,4,25],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11, w=11\",\"Add (1,4)=25, w=36\",\"Add (0,4)=65, w=101\",\"Add (1,2)=66, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[0,4,65],[1,2,66],[1,3,89],[1,4,25],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11 Succeeded, w=11\",\"Add (1,4)=25 Succeeded, w=36\",\"Add (0,4)=65 Succeeded, w=101\",\"Add (1,2)=66 Succeeded, w=167\",\"Add (1,3)=89 Failed, w=167\",\"Add (0,3)=92 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[0,4,65],[1,2,66],[1,3,89],[1,4,25],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(1,4)=25,(0,4)=65,(1,2)=66,(1,3)=89,(0,3)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(4)=3, Add (1,4)=25 Succeeded, w=36\",\"Find(0)=0, Find(4)=3, Add (0,4)=65 Succeeded, w=101\",\"Find(1)=3, Find(2)=2, Add (1,2)=66 Succeeded, w=167\",\"Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=167\",\"Find(0)=3, Find(3)=3, Add (0,3)=92 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,92],[0,4,65],[1,2,66],[1,3,89],[1,4,25],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(1,4)=25,(0,4)=65,(1,2)=66,(1,3)=89,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=25 Succeeded, w=36\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=65 Succeeded, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=2, Add (1,2)=66 Succeeded, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=167\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=92 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,76],[0,2,95],[0,3,27],[1,2,18],[1,3,29],[2,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,95],[0,3,27],[1,2,18],[1,3,29],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,95],[0,3,27],[1,2,18],[1,3,29],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,95],[0,3,27],[1,2,18],[1,3,29],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=18, w=18\",\"Add (0,3)=27, w=45\",\"Add (1,3)=29, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,95],[0,3,27],[1,2,18],[1,3,29],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=18 Succeeded, w=18\",\"Add (0,3)=27 Succeeded, w=45\",\"Add (1,3)=29 Succeeded, w=74\",\"Add (2,3)=74 Failed, w=74\",\"Add (0,1)=76 Failed, w=74\",\"Add (0,2)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,95],[0,3,27],[1,2,18],[1,3,29],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=18,(0,3)=27,(1,3)=29,(2,3)=74,(0,1)=76,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=45\",\"Find(1)=1, Find(3)=0, Add (1,3)=29 Succeeded, w=74\",\"Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=74\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=74\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,76],[0,2,95],[0,3,27],[1,2,18],[1,3,29],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=18,(0,3)=27,(1,3)=29,(2,3)=74,(0,1)=76,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=29 Succeeded, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,2,65],[0,3,30],[0,5,63],[0,6,0],[1,2,37],[1,3,95],[1,4,1],[1,5,87],[1,6,36],[2,3,27],[2,4,86],[2,5,10],[2,6,75],[3,4,42],[3,5,52],[3,6,82],[4,5,6],[4,6,49],[5,6,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,65],[0,3,30],[0,5,63],[0,6,0],[1,2,37],[1,3,95],[1,4,1],[1,5,87],[1,6,36],[2,3,27],[2,4,86],[2,5,10],[2,6,75],[3,4,42],[3,5,52],[3,6,82],[4,5,6],[4,6,49],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,65],[0,3,30],[0,5,63],[0,6,0],[1,2,37],[1,3,95],[1,4,1],[1,5,87],[1,6,36],[2,3,27],[2,4,86],[2,5,10],[2,6,75],[3,4,42],[3,5,52],[3,6,82],[4,5,6],[4,6,49],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,65],[0,3,30],[0,5,63],[0,6,0],[1,2,37],[1,3,95],[1,4,1],[1,5,87],[1,6,36],[2,3,27],[2,4,86],[2,5,10],[2,6,75],[3,4,42],[3,5,52],[3,6,82],[4,5,6],[4,6,49],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0, w=0\",\"Add (1,4)=1, w=1\",\"Add (4,5)=6, w=7\",\"Add (2,5)=10, w=17\",\"Add (2,3)=27, w=44\",\"Add (0,3)=30, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,65],[0,3,30],[0,5,63],[0,6,0],[1,2,37],[1,3,95],[1,4,1],[1,5,87],[1,6,36],[2,3,27],[2,4,86],[2,5,10],[2,6,75],[3,4,42],[3,5,52],[3,6,82],[4,5,6],[4,6,49],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=0 Succeeded, w=0\",\"Add (1,4)=1 Succeeded, w=1\",\"Add (4,5)=6 Succeeded, w=7\",\"Add (2,5)=10 Succeeded, w=17\",\"Add (2,3)=27 Succeeded, w=44\",\"Add (0,3)=30 Succeeded, w=74\",\"Add (1,6)=36 Failed, w=74\",\"Add (1,2)=37 Failed, w=74\",\"Add (3,4)=42 Failed, w=74\",\"Add (4,6)=49 Failed, w=74\",\"Add (3,5)=52 Failed, w=74\",\"Add (0,5)=63 Failed, w=74\",\"Add (0,2)=65 Failed, w=74\",\"Add (5,6)=68 Failed, w=74\",\"Add (2,6)=75 Failed, w=74\",\"Add (3,6)=82 Failed, w=74\",\"Add (0,1)=84 Failed, w=74\",\"Add (2,4)=86 Failed, w=74\",\"Add (1,5)=87 Failed, w=74\",\"Add (1,3)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,65],[0,3,30],[0,5,63],[0,6,0],[1,2,37],[1,3,95],[1,4,1],[1,5,87],[1,6,36],[2,3,27],[2,4,86],[2,5,10],[2,6,75],[3,4,42],[3,5,52],[3,6,82],[4,5,6],[4,6,49],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(1,4)=1,(4,5)=6,(2,5)=10,(2,3)=27,(0,3)=30,(1,6)=36,(1,2)=37,(3,4)=42,(4,6)=49,(3,5)=52,(0,5)=63,(0,2)=65,(5,6)=68,(2,6)=75,(3,6)=82,(0,1)=84,(2,4)=86,(1,5)=87,(1,3)=95]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(4)=1, Find(5)=5, Add (4,5)=6 Succeeded, w=7\",\"Find(2)=2, Find(5)=1, Add (2,5)=10 Succeeded, w=17\",\"Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=44\",\"Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=74\",\"Find(1)=0, Find(6)=0, Add (1,6)=36 Failed, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=74\",\"Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=74\",\"Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=74\",\"Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=74\",\"Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=74\",\"Find(5)=0, Find(6)=0, Add (5,6)=68 Failed, w=74\",\"Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=74\",\"Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=74\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=74\",\"Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,65],[0,3,30],[0,5,63],[0,6,0],[1,2,37],[1,3,95],[1,4,1],[1,5,87],[1,6,36],[2,3,27],[2,4,86],[2,5,10],[2,6,75],[3,4,42],[3,5,52],[3,6,82],[4,5,6],[4,6,49],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=0,(1,4)=1,(4,5)=6,(2,5)=10,(2,3)=27,(0,3)=30,(1,6)=36,(1,2)=37,(3,4)=42,(4,6)=49,(3,5)=52,(0,5)=63,(0,2)=65,(5,6)=68,(2,6)=75,(3,6)=82,(0,1)=84,(2,4)=86,(1,5)=87,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 0}, Find(4)=1, Find(5)=5, Add (4,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 0}, Find(2)=2, Find(5)=1, Add (2,5)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(2)=1, Find(3)=3, Add (2,3)=27 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(0)=0, Find(3)=1, Add (0,3)=30 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 1, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=36 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 1, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=49 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=63 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=68 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=82 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,30],[0,2,3],[0,4,100],[0,5,23],[1,2,42],[1,4,10],[1,5,31],[2,4,43],[2,5,74],[2,6,16],[3,4,7],[3,5,47],[3,6,17],[4,5,4],[5,6,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,3],[0,4,100],[0,5,23],[1,2,42],[1,4,10],[1,5,31],[2,4,43],[2,5,74],[2,6,16],[3,4,7],[3,5,47],[3,6,17],[4,5,4],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,3],[0,4,100],[0,5,23],[1,2,42],[1,4,10],[1,5,31],[2,4,43],[2,5,74],[2,6,16],[3,4,7],[3,5,47],[3,6,17],[4,5,4],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (3,6)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,3],[0,4,100],[0,5,23],[1,2,42],[1,4,10],[1,5,31],[2,4,43],[2,5,74],[2,6,16],[3,4,7],[3,5,47],[3,6,17],[4,5,4],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (4,5)=4, w=7\",\"Add (3,4)=7, w=14\",\"Add (1,4)=10, w=24\",\"Add (2,6)=16, w=40\",\"Add (3,6)=17, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,3],[0,4,100],[0,5,23],[1,2,42],[1,4,10],[1,5,31],[2,4,43],[2,5,74],[2,6,16],[3,4,7],[3,5,47],[3,6,17],[4,5,4],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (4,5)=4 Succeeded, w=7\",\"Add (3,4)=7 Succeeded, w=14\",\"Add (1,4)=10 Succeeded, w=24\",\"Add (2,6)=16 Succeeded, w=40\",\"Add (3,6)=17 Succeeded, w=57\",\"Add (0,5)=23 Failed, w=57\",\"Add (0,1)=30 Failed, w=57\",\"Add (1,5)=31 Failed, w=57\",\"Add (1,2)=42 Failed, w=57\",\"Add (2,4)=43 Failed, w=57\",\"Add (3,5)=47 Failed, w=57\",\"Add (5,6)=67 Failed, w=57\",\"Add (2,5)=74 Failed, w=57\",\"Add (0,4)=100 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,3],[0,4,100],[0,5,23],[1,2,42],[1,4,10],[1,5,31],[2,4,43],[2,5,74],[2,6,16],[3,4,7],[3,5,47],[3,6,17],[4,5,4],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(4,5)=4,(3,4)=7,(1,4)=10,(2,6)=16,(3,6)=17,(0,5)=23,(0,1)=30,(1,5)=31,(1,2)=42,(2,4)=43,(3,5)=47,(5,6)=67,(2,5)=74,(0,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=14\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=24\",\"Find(2)=0, Find(6)=6, Add (2,6)=16 Succeeded, w=40\",\"Find(3)=4, Find(6)=0, Add (3,6)=17 Succeeded, w=57\",\"Find(0)=4, Find(5)=4, Add (0,5)=23 Failed, w=57\",\"Find(0)=4, Find(1)=4, Add (0,1)=30 Failed, w=57\",\"Find(1)=4, Find(5)=4, Add (1,5)=31 Failed, w=57\",\"Find(1)=4, Find(2)=4, Add (1,2)=42 Failed, w=57\",\"Find(2)=4, Find(4)=4, Add (2,4)=43 Failed, w=57\",\"Find(3)=4, Find(5)=4, Add (3,5)=47 Failed, w=57\",\"Find(5)=4, Find(6)=4, Add (5,6)=67 Failed, w=57\",\"Find(2)=4, Find(5)=4, Add (2,5)=74 Failed, w=57\",\"Find(0)=4, Find(4)=4, Add (0,4)=100 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,30],[0,2,3],[0,4,100],[0,5,23],[1,2,42],[1,4,10],[1,5,31],[2,4,43],[2,5,74],[2,6,16],[3,4,7],[3,5,47],[3,6,17],[4,5,4],[5,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(4,5)=4,(3,4)=7,(1,4)=10,(2,6)=16,(3,6)=17,(0,5)=23,(0,1)=30,(1,5)=31,(1,2)=42,(2,4)=43,(3,5)=47,(5,6)=67,(2,5)=74,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=24\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=16 Succeeded, w=40\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 0}, Find(3)=4, Find(6)=0, Add (3,6)=17 Succeeded, w=57\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 0}, Find(0)=4, Find(5)=4, Add (0,5)=23 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 0}, Find(0)=4, Find(1)=4, Add (0,1)=30 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 4, 4: 4, 5: 4, 6: 0}, Find(1)=4, Find(5)=4, Add (1,5)=31 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(1)=4, Find(2)=4, Add (1,2)=42 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(2)=4, Find(4)=4, Add (2,4)=43 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(3)=4, Find(5)=4, Add (3,5)=47 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=67 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=74 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=100 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[0,2,51],[1,3,91],[2,3,16],[2,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,51],[1,3,91],[2,3,16],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,51],[1,3,91],[2,3,16],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,51],[1,3,91],[2,3,16],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (2,4)=21, w=37\",\"Add (0,2)=51, w=88\",\"Add (0,1)=77, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,51],[1,3,91],[2,3,16],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (2,4)=21 Succeeded, w=37\",\"Add (0,2)=51 Succeeded, w=88\",\"Add (0,1)=77 Succeeded, w=165\",\"Add (1,3)=91 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,51],[1,3,91],[2,3,16],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(2,4)=21,(0,2)=51,(0,1)=77,(1,3)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=37\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=88\",\"Find(0)=2, Find(1)=1, Add (0,1)=77 Succeeded, w=165\",\"Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,51],[1,3,91],[2,3,16],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(2,4)=21,(0,2)=51,(0,1)=77,(1,3)=91]\",\"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: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=77 Succeeded, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,14],[0,2,35],[0,3,42],[1,2,15],[1,3,52],[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,35],[0,3,42],[1,2,15],[1,3,52],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,35],[0,3,42],[1,2,15],[1,3,52],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,35],[0,3,42],[1,2,15],[1,3,52],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\",\"Add (0,1)=14, w=24\",\"Add (1,2)=15, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,35],[0,3,42],[1,2,15],[1,3,52],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\",\"Add (0,1)=14 Succeeded, w=24\",\"Add (1,2)=15 Succeeded, w=39\",\"Add (0,2)=35 Failed, w=39\",\"Add (0,3)=42 Failed, w=39\",\"Add (1,3)=52 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,35],[0,3,42],[1,2,15],[1,3,52],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(0,1)=14,(1,2)=15,(0,2)=35,(0,3)=42,(1,3)=52]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=24\",\"Find(1)=0, Find(2)=2, Add (1,2)=15 Succeeded, w=39\",\"Find(0)=0, Find(2)=0, Add (0,2)=35 Failed, w=39\",\"Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=39\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,35],[0,3,42],[1,2,15],[1,3,52],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(0,1)=14,(1,2)=15,(0,2)=35,(0,3)=42,(1,3)=52]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=15 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=35 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=42 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,30],[0,4,72],[0,5,15],[0,6,59],[0,7,88],[1,4,15],[1,5,30],[1,6,86],[1,7,49],[2,3,34],[2,4,87],[2,7,89],[3,4,61],[3,5,71],[3,6,87],[3,7,18],[4,5,93],[4,6,37],[4,7,86],[5,6,64],[5,7,11],[6,7,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,4,72],[0,5,15],[0,6,59],[0,7,88],[1,4,15],[1,5,30],[1,6,86],[1,7,49],[2,3,34],[2,4,87],[2,7,89],[3,4,61],[3,5,71],[3,6,87],[3,7,18],[4,5,93],[4,6,37],[4,7,86],[5,6,64],[5,7,11],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,4,72],[0,5,15],[0,6,59],[0,7,88],[1,4,15],[1,5,30],[1,6,86],[1,7,49],[2,3,34],[2,4,87],[2,7,89],[3,4,61],[3,5,71],[3,6,87],[3,7,18],[4,5,93],[4,6,37],[4,7,86],[5,6,64],[5,7,11],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (6,7)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (3,7)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,4,72],[0,5,15],[0,6,59],[0,7,88],[1,4,15],[1,5,30],[1,6,86],[1,7,49],[2,3,34],[2,4,87],[2,7,89],[3,4,61],[3,5,71],[3,6,87],[3,7,18],[4,5,93],[4,6,37],[4,7,86],[5,6,64],[5,7,11],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=11, w=11\",\"Add (6,7)=13, w=24\",\"Add (0,5)=15, w=39\",\"Add (1,4)=15, w=54\",\"Add (3,7)=18, w=72\",\"Add (0,1)=30, w=102\",\"Add (2,3)=34, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,4,72],[0,5,15],[0,6,59],[0,7,88],[1,4,15],[1,5,30],[1,6,86],[1,7,49],[2,3,34],[2,4,87],[2,7,89],[3,4,61],[3,5,71],[3,6,87],[3,7,18],[4,5,93],[4,6,37],[4,7,86],[5,6,64],[5,7,11],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=11 Succeeded, w=11\",\"Add (6,7)=13 Succeeded, w=24\",\"Add (0,5)=15 Succeeded, w=39\",\"Add (1,4)=15 Succeeded, w=54\",\"Add (3,7)=18 Succeeded, w=72\",\"Add (0,1)=30 Succeeded, w=102\",\"Add (1,5)=30 Failed, w=102\",\"Add (2,3)=34 Succeeded, w=136\",\"Add (4,6)=37 Failed, w=136\",\"Add (1,7)=49 Failed, w=136\",\"Add (0,6)=59 Failed, w=136\",\"Add (3,4)=61 Failed, w=136\",\"Add (5,6)=64 Failed, w=136\",\"Add (3,5)=71 Failed, w=136\",\"Add (0,4)=72 Failed, w=136\",\"Add (1,6)=86 Failed, w=136\",\"Add (4,7)=86 Failed, w=136\",\"Add (2,4)=87 Failed, w=136\",\"Add (3,6)=87 Failed, w=136\",\"Add (0,7)=88 Failed, w=136\",\"Add (2,7)=89 Failed, w=136\",\"Add (4,5)=93 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,4,72],[0,5,15],[0,6,59],[0,7,88],[1,4,15],[1,5,30],[1,6,86],[1,7,49],[2,3,34],[2,4,87],[2,7,89],[3,4,61],[3,5,71],[3,6,87],[3,7,18],[4,5,93],[4,6,37],[4,7,86],[5,6,64],[5,7,11],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=11,(6,7)=13,(0,5)=15,(1,4)=15,(3,7)=18,(0,1)=30,(1,5)=30,(2,3)=34,(4,6)=37,(1,7)=49,(0,6)=59,(3,4)=61,(5,6)=64,(3,5)=71,(0,4)=72,(1,6)=86,(4,7)=86,(2,4)=87,(3,6)=87,(0,7)=88,(2,7)=89,(4,5)=93]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=11\",\"Find(6)=6, Find(7)=5, Add (6,7)=13 Succeeded, w=24\",\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=39\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=54\",\"Find(3)=3, Find(7)=5, Add (3,7)=18 Succeeded, w=72\",\"Find(0)=5, Find(1)=1, Add (0,1)=30 Succeeded, w=102\",\"Find(1)=5, Find(5)=5, Add (1,5)=30 Failed, w=102\",\"Find(2)=2, Find(3)=5, Add (2,3)=34 Succeeded, w=136\",\"Find(4)=5, Find(6)=5, Add (4,6)=37 Failed, w=136\",\"Find(1)=5, Find(7)=5, Add (1,7)=49 Failed, w=136\",\"Find(0)=5, Find(6)=5, Add (0,6)=59 Failed, w=136\",\"Find(3)=5, Find(4)=5, Add (3,4)=61 Failed, w=136\",\"Find(5)=5, Find(6)=5, Add (5,6)=64 Failed, w=136\",\"Find(3)=5, Find(5)=5, Add (3,5)=71 Failed, w=136\",\"Find(0)=5, Find(4)=5, Add (0,4)=72 Failed, w=136\",\"Find(1)=5, Find(6)=5, Add (1,6)=86 Failed, w=136\",\"Find(4)=5, Find(7)=5, Add (4,7)=86 Failed, w=136\",\"Find(2)=5, Find(4)=5, Add (2,4)=87 Failed, w=136\",\"Find(3)=5, Find(6)=5, Add (3,6)=87 Failed, w=136\",\"Find(0)=5, Find(7)=5, Add (0,7)=88 Failed, w=136\",\"Find(2)=5, Find(7)=5, Add (2,7)=89 Failed, w=136\",\"Find(4)=5, Find(5)=5, Add (4,5)=93 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,4,72],[0,5,15],[0,6,59],[0,7,88],[1,4,15],[1,5,30],[1,6,86],[1,7,49],[2,3,34],[2,4,87],[2,7,89],[3,4,61],[3,5,71],[3,6,87],[3,7,18],[4,5,93],[4,6,37],[4,7,86],[5,6,64],[5,7,11],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=11,(6,7)=13,(0,5)=15,(1,4)=15,(3,7)=18,(0,1)=30,(1,5)=30,(2,3)=34,(4,6)=37,(1,7)=49,(0,6)=59,(3,4)=61,(5,6)=64,(3,5)=71,(0,4)=72,(1,6)=86,(4,7)=86,(2,4)=87,(3,6)=87,(0,7)=88,(2,7)=89,(4,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(6)=6, Find(7)=5, Add (6,7)=13 Succeeded, w=24\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=39\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=54\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 5, 4: 1, 5: 5, 6: 5, 7: 5}, Find(3)=3, Find(7)=5, Add (3,7)=18 Succeeded, w=72\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 1, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=1, Add (0,1)=30 Succeeded, w=102\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 1, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=30 Failed, w=102\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 5}, Find(2)=2, Find(3)=5, Add (2,3)=34 Succeeded, w=136\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(6)=5, Add (4,6)=37 Failed, w=136\",\"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)=49 Failed, w=136\",\"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)=59 Failed, w=136\",\"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)=61 Failed, w=136\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=5, Add (5,6)=64 Failed, w=136\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=71 Failed, w=136\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=72 Failed, w=136\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=86 Failed, w=136\",\"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)=86 Failed, w=136\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(4)=5, Add (2,4)=87 Failed, w=136\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=87 Failed, w=136\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=88 Failed, w=136\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=89 Failed, w=136\",\"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)=93 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,75],[0,2,93],[0,3,7],[0,4,32],[0,5,90],[0,6,89],[0,7,52],[1,2,13],[1,3,14],[1,4,3],[1,5,57],[1,6,43],[1,7,44],[2,3,15],[2,4,5],[2,5,33],[2,6,72],[2,7,27],[3,4,57],[3,5,40],[3,6,48],[3,7,80],[4,5,42],[4,6,63],[4,7,10],[5,6,69],[5,7,19],[6,7,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,93],[0,3,7],[0,4,32],[0,5,90],[0,6,89],[0,7,52],[1,2,13],[1,3,14],[1,4,3],[1,5,57],[1,6,43],[1,7,44],[2,3,15],[2,4,5],[2,5,33],[2,6,72],[2,7,27],[3,4,57],[3,5,40],[3,6,48],[3,7,80],[4,5,42],[4,6,63],[4,7,10],[5,6,69],[5,7,19],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,93],[0,3,7],[0,4,32],[0,5,90],[0,6,89],[0,7,52],[1,2,13],[1,3,14],[1,4,3],[1,5,57],[1,6,43],[1,7,44],[2,3,15],[2,4,5],[2,5,33],[2,6,72],[2,7,27],[3,4,57],[3,5,40],[3,6,48],[3,7,80],[4,5,42],[4,6,63],[4,7,10],[5,6,69],[5,7,19],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (4,7)\",\"Add (1,3)\",\"Add (5,7)\",\"Add (1,6)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,93],[0,3,7],[0,4,32],[0,5,90],[0,6,89],[0,7,52],[1,2,13],[1,3,14],[1,4,3],[1,5,57],[1,6,43],[1,7,44],[2,3,15],[2,4,5],[2,5,33],[2,6,72],[2,7,27],[3,4,57],[3,5,40],[3,6,48],[3,7,80],[4,5,42],[4,6,63],[4,7,10],[5,6,69],[5,7,19],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (2,4)=5, w=8\",\"Add (0,3)=7, w=15\",\"Add (4,7)=10, w=25\",\"Add (1,3)=14, w=39\",\"Add (5,7)=19, w=58\",\"Add (1,6)=43, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,93],[0,3,7],[0,4,32],[0,5,90],[0,6,89],[0,7,52],[1,2,13],[1,3,14],[1,4,3],[1,5,57],[1,6,43],[1,7,44],[2,3,15],[2,4,5],[2,5,33],[2,6,72],[2,7,27],[3,4,57],[3,5,40],[3,6,48],[3,7,80],[4,5,42],[4,6,63],[4,7,10],[5,6,69],[5,7,19],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (2,4)=5 Succeeded, w=8\",\"Add (0,3)=7 Succeeded, w=15\",\"Add (4,7)=10 Succeeded, w=25\",\"Add (1,2)=13 Failed, w=25\",\"Add (1,3)=14 Succeeded, w=39\",\"Add (2,3)=15 Failed, w=39\",\"Add (5,7)=19 Succeeded, w=58\",\"Add (2,7)=27 Failed, w=58\",\"Add (0,4)=32 Failed, w=58\",\"Add (2,5)=33 Failed, w=58\",\"Add (3,5)=40 Failed, w=58\",\"Add (4,5)=42 Failed, w=58\",\"Add (1,6)=43 Succeeded, w=101\",\"Add (1,7)=44 Failed, w=101\",\"Add (3,6)=48 Failed, w=101\",\"Add (0,7)=52 Failed, w=101\",\"Add (1,5)=57 Failed, w=101\",\"Add (3,4)=57 Failed, w=101\",\"Add (4,6)=63 Failed, w=101\",\"Add (5,6)=69 Failed, w=101\",\"Add (2,6)=72 Failed, w=101\",\"Add (6,7)=73 Failed, w=101\",\"Add (0,1)=75 Failed, w=101\",\"Add (3,7)=80 Failed, w=101\",\"Add (0,6)=89 Failed, w=101\",\"Add (0,5)=90 Failed, w=101\",\"Add (0,2)=93 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,93],[0,3,7],[0,4,32],[0,5,90],[0,6,89],[0,7,52],[1,2,13],[1,3,14],[1,4,3],[1,5,57],[1,6,43],[1,7,44],[2,3,15],[2,4,5],[2,5,33],[2,6,72],[2,7,27],[3,4,57],[3,5,40],[3,6,48],[3,7,80],[4,5,42],[4,6,63],[4,7,10],[5,6,69],[5,7,19],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(2,4)=5,(0,3)=7,(4,7)=10,(1,2)=13,(1,3)=14,(2,3)=15,(5,7)=19,(2,7)=27,(0,4)=32,(2,5)=33,(3,5)=40,(4,5)=42,(1,6)=43,(1,7)=44,(3,6)=48,(0,7)=52,(1,5)=57,(3,4)=57,(4,6)=63,(5,6)=69,(2,6)=72,(6,7)=73,(0,1)=75,(3,7)=80,(0,6)=89,(0,5)=90,(0,2)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=1, Add (2,4)=5 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=15\",\"Find(4)=1, Find(7)=7, Add (4,7)=10 Succeeded, w=25\",\"Find(1)=1, Find(2)=1, Add (1,2)=13 Failed, w=25\",\"Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=39\",\"Find(2)=1, Find(3)=1, Add (2,3)=15 Failed, w=39\",\"Find(5)=5, Find(7)=1, Add (5,7)=19 Succeeded, w=58\",\"Find(2)=1, Find(7)=1, Add (2,7)=27 Failed, w=58\",\"Find(0)=1, Find(4)=1, Add (0,4)=32 Failed, w=58\",\"Find(2)=1, Find(5)=1, Add (2,5)=33 Failed, w=58\",\"Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=58\",\"Find(4)=1, Find(5)=1, Add (4,5)=42 Failed, w=58\",\"Find(1)=1, Find(6)=6, Add (1,6)=43 Succeeded, w=101\",\"Find(1)=1, Find(7)=1, Add (1,7)=44 Failed, w=101\",\"Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=101\",\"Find(0)=1, Find(7)=1, Add (0,7)=52 Failed, w=101\",\"Find(1)=1, Find(5)=1, Add (1,5)=57 Failed, w=101\",\"Find(3)=1, Find(4)=1, Add (3,4)=57 Failed, w=101\",\"Find(4)=1, Find(6)=1, Add (4,6)=63 Failed, w=101\",\"Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=101\",\"Find(2)=1, Find(6)=1, Add (2,6)=72 Failed, w=101\",\"Find(6)=1, Find(7)=1, Add (6,7)=73 Failed, w=101\",\"Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=101\",\"Find(3)=1, Find(7)=1, Add (3,7)=80 Failed, w=101\",\"Find(0)=1, Find(6)=1, Add (0,6)=89 Failed, w=101\",\"Find(0)=1, Find(5)=1, Add (0,5)=90 Failed, w=101\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,93],[0,3,7],[0,4,32],[0,5,90],[0,6,89],[0,7,52],[1,2,13],[1,3,14],[1,4,3],[1,5,57],[1,6,43],[1,7,44],[2,3,15],[2,4,5],[2,5,33],[2,6,72],[2,7,27],[3,4,57],[3,5,40],[3,6,48],[3,7,80],[4,5,42],[4,6,63],[4,7,10],[5,6,69],[5,7,19],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(2,4)=5,(0,3)=7,(4,7)=10,(1,2)=13,(1,3)=14,(2,3)=15,(5,7)=19,(2,7)=27,(0,4)=32,(2,5)=33,(3,5)=40,(4,5)=42,(1,6)=43,(1,7)=44,(3,6)=48,(0,7)=52,(1,5)=57,(3,4)=57,(4,6)=63,(5,6)=69,(2,6)=72,(6,7)=73,(0,1)=75,(3,7)=80,(0,6)=89,(0,5)=90,(0,2)=93]\",\"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: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=1, Add (2,4)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 6, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=10 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=13 Failed, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=15 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=19 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=27 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=32 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=33 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=42 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=6, Add (1,6)=43 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=44 Failed, w=101\",\"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)=48 Failed, w=101\",\"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)=52 Failed, w=101\",\"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)=57 Failed, w=101\",\"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)=57 Failed, w=101\",\"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=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=69 Failed, w=101\",\"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=101\",\"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)=73 Failed, w=101\",\"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=101\",\"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)=80 Failed, w=101\",\"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)=89 Failed, w=101\",\"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)=90 Failed, w=101\",\"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)=93 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,5,56],[1,3,41],[1,4,2],[3,4,93],[3,5,23],[4,5,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,56],[1,3,41],[1,4,2],[3,4,93],[3,5,23],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,56],[1,3,41],[1,4,2],[3,4,93],[3,5,23],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (0,5)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,56],[1,3,41],[1,4,2],[3,4,93],[3,5,23],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (3,5)=23, w=25\",\"Add (1,3)=41, w=66\",\"Add (0,5)=56, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,56],[1,3,41],[1,4,2],[3,4,93],[3,5,23],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (3,5)=23 Succeeded, w=25\",\"Add (1,3)=41 Succeeded, w=66\",\"Add (0,5)=56 Succeeded, w=122\",\"Add (4,5)=59 Failed, w=122\",\"Add (3,4)=93 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,56],[1,3,41],[1,4,2],[3,4,93],[3,5,23],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,5)=23,(1,3)=41,(0,5)=56,(4,5)=59,(3,4)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=25\",\"Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=66\",\"Find(0)=0, Find(5)=1, Add (0,5)=56 Succeeded, w=122\",\"Find(4)=1, Find(5)=1, Add (4,5)=59 Failed, w=122\",\"Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,5,56],[1,3,41],[1,4,2],[3,4,93],[3,5,23],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,5)=23,(1,3)=41,(0,5)=56,(4,5)=59,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=23 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=56 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=59 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,74],[0,2,88],[0,3,87],[1,2,40],[1,3,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,88],[0,3,87],[1,2,40],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,88],[0,3,87],[1,2,40],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,88],[0,3,87],[1,2,40],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=40, w=40\",\"Add (1,3)=62, w=102\",\"Add (0,1)=74, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,88],[0,3,87],[1,2,40],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=40 Succeeded, w=40\",\"Add (1,3)=62 Succeeded, w=102\",\"Add (0,1)=74 Succeeded, w=176\",\"Add (0,3)=87 Failed, w=176\",\"Add (0,2)=88 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,88],[0,3,87],[1,2,40],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=40,(1,3)=62,(0,1)=74,(0,3)=87,(0,2)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=40\",\"Find(1)=1, Find(3)=3, Add (1,3)=62 Succeeded, w=102\",\"Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=176\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=176\",\"Find(0)=1, Find(2)=1, Add (0,2)=88 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,88],[0,3,87],[1,2,40],[1,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=40,(1,3)=62,(0,1)=74,(0,3)=87,(0,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=62 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=176\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=88 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,5],[0,2,0],[0,3,44],[1,2,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,0],[0,3,44],[1,2,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,0],[0,3,44],[1,2,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,0],[0,3,44],[1,2,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (0,1)=5, w=5\",\"Add (0,3)=44, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,0],[0,3,44],[1,2,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (0,1)=5 Succeeded, w=5\",\"Add (0,3)=44 Succeeded, w=49\",\"Add (1,2)=49 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,0],[0,3,44],[1,2,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,1)=5,(0,3)=44,(1,2)=49]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=49\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,5],[0,2,0],[0,3,44],[1,2,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,1)=5,(0,3)=44,(1,2)=49]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,26],[0,4,7],[0,5,55],[1,2,19],[1,3,26],[1,4,24],[1,5,1],[2,4,61],[2,5,46],[2,6,62],[3,5,40],[3,6,95],[4,5,49],[4,6,57],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,7],[0,5,55],[1,2,19],[1,3,26],[1,4,24],[1,5,1],[2,4,61],[2,5,46],[2,6,62],[3,5,40],[3,6,95],[4,5,49],[4,6,57],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,7],[0,5,55],[1,2,19],[1,3,26],[1,4,24],[1,5,1],[2,4,61],[2,5,46],[2,6,62],[3,5,40],[3,6,95],[4,5,49],[4,6,57],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (4,6)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,7],[0,5,55],[1,2,19],[1,3,26],[1,4,24],[1,5,1],[2,4,61],[2,5,46],[2,6,62],[3,5,40],[3,6,95],[4,5,49],[4,6,57],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (0,4)=7, w=8\",\"Add (1,2)=19, w=27\",\"Add (1,4)=24, w=51\",\"Add (0,3)=26, w=77\",\"Add (4,6)=57, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,7],[0,5,55],[1,2,19],[1,3,26],[1,4,24],[1,5,1],[2,4,61],[2,5,46],[2,6,62],[3,5,40],[3,6,95],[4,5,49],[4,6,57],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (0,4)=7 Succeeded, w=8\",\"Add (1,2)=19 Succeeded, w=27\",\"Add (1,4)=24 Succeeded, w=51\",\"Add (0,3)=26 Succeeded, w=77\",\"Add (1,3)=26 Failed, w=77\",\"Add (3,5)=40 Failed, w=77\",\"Add (2,5)=46 Failed, w=77\",\"Add (4,5)=49 Failed, w=77\",\"Add (0,5)=55 Failed, w=77\",\"Add (4,6)=57 Succeeded, w=134\",\"Add (2,4)=61 Failed, w=134\",\"Add (2,6)=62 Failed, w=134\",\"Add (5,6)=85 Failed, w=134\",\"Add (3,6)=95 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,7],[0,5,55],[1,2,19],[1,3,26],[1,4,24],[1,5,1],[2,4,61],[2,5,46],[2,6,62],[3,5,40],[3,6,95],[4,5,49],[4,6,57],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,4)=7,(1,2)=19,(1,4)=24,(0,3)=26,(1,3)=26,(3,5)=40,(2,5)=46,(4,5)=49,(0,5)=55,(4,6)=57,(2,4)=61,(2,6)=62,(5,6)=85,(3,6)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=27\",\"Find(1)=1, Find(4)=0, Add (1,4)=24 Succeeded, w=51\",\"Find(0)=1, Find(3)=3, Add (0,3)=26 Succeeded, w=77\",\"Find(1)=1, Find(3)=1, Add (1,3)=26 Failed, w=77\",\"Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=77\",\"Find(2)=1, Find(5)=1, Add (2,5)=46 Failed, w=77\",\"Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=77\",\"Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=77\",\"Find(4)=1, Find(6)=6, Add (4,6)=57 Succeeded, w=134\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=134\",\"Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=134\",\"Find(5)=1, Find(6)=1, Add (5,6)=85 Failed, w=134\",\"Find(3)=1, Find(6)=1, Add (3,6)=95 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,26],[0,4,7],[0,5,55],[1,2,19],[1,3,26],[1,4,24],[1,5,1],[2,4,61],[2,5,46],[2,6,62],[3,5,40],[3,6,95],[4,5,49],[4,6,57],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,4)=7,(1,2)=19,(1,4)=24,(0,3)=26,(1,3)=26,(3,5)=40,(2,5)=46,(4,5)=49,(0,5)=55,(4,6)=57,(2,4)=61,(2,6)=62,(5,6)=85,(3,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 6}, Find(1)=1, Find(4)=0, Add (1,4)=24 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 6}, Find(0)=1, Find(3)=3, Add (0,3)=26 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 6}, Find(1)=1, Find(3)=1, Add (1,3)=26 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 6}, Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=46 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(5)=1, Add (0,5)=55 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=57 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=85 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=95 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,69],[0,2,48],[0,3,87],[1,2,16],[1,3,57],[2,3,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,48],[0,3,87],[1,2,16],[1,3,57],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,48],[0,3,87],[1,2,16],[1,3,57],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,48],[0,3,87],[1,2,16],[1,3,57],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16, w=16\",\"Add (0,2)=48, w=64\",\"Add (1,3)=57, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,48],[0,3,87],[1,2,16],[1,3,57],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16 Succeeded, w=16\",\"Add (0,2)=48 Succeeded, w=64\",\"Add (1,3)=57 Succeeded, w=121\",\"Add (0,1)=69 Failed, w=121\",\"Add (0,3)=87 Failed, w=121\",\"Add (2,3)=97 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,48],[0,3,87],[1,2,16],[1,3,57],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(0,2)=48,(1,3)=57,(0,1)=69,(0,3)=87,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=1, Add (0,2)=48 Succeeded, w=64\",\"Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=121\",\"Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=121\",\"Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=121\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,48],[0,3,87],[1,2,16],[1,3,57],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(0,2)=48,(1,3)=57,(0,1)=69,(0,3)=87,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=48 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=87 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,93],[0,3,58],[0,4,55],[0,5,46],[1,2,21],[1,4,94],[1,5,30],[2,3,8],[3,4,87],[4,5,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,58],[0,4,55],[0,5,46],[1,2,21],[1,4,94],[1,5,30],[2,3,8],[3,4,87],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,58],[0,4,55],[0,5,46],[1,2,21],[1,4,94],[1,5,30],[2,3,8],[3,4,87],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (0,5)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,58],[0,4,55],[0,5,46],[1,2,21],[1,4,94],[1,5,30],[2,3,8],[3,4,87],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (1,2)=21, w=29\",\"Add (4,5)=29, w=58\",\"Add (1,5)=30, w=88\",\"Add (0,5)=46, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,58],[0,4,55],[0,5,46],[1,2,21],[1,4,94],[1,5,30],[2,3,8],[3,4,87],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (1,2)=21 Succeeded, w=29\",\"Add (4,5)=29 Succeeded, w=58\",\"Add (1,5)=30 Succeeded, w=88\",\"Add (0,5)=46 Succeeded, w=134\",\"Add (0,4)=55 Failed, w=134\",\"Add (0,3)=58 Failed, w=134\",\"Add (3,4)=87 Failed, w=134\",\"Add (0,2)=93 Failed, w=134\",\"Add (1,4)=94 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,58],[0,4,55],[0,5,46],[1,2,21],[1,4,94],[1,5,30],[2,3,8],[3,4,87],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,2)=21,(4,5)=29,(1,5)=30,(0,5)=46,(0,4)=55,(0,3)=58,(3,4)=87,(0,2)=93,(1,4)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=29\",\"Find(4)=4, Find(5)=5, Add (4,5)=29 Succeeded, w=58\",\"Find(1)=2, Find(5)=4, Add (1,5)=30 Succeeded, w=88\",\"Find(0)=0, Find(5)=2, Add (0,5)=46 Succeeded, w=134\",\"Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=134\",\"Find(0)=2, Find(3)=2, Add (0,3)=58 Failed, w=134\",\"Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=134\",\"Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=134\",\"Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,58],[0,4,55],[0,5,46],[1,2,21],[1,4,94],[1,5,30],[2,3,8],[3,4,87],[4,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(1,2)=21,(4,5)=29,(1,5)=30,(0,5)=46,(0,4)=55,(0,3)=58,(3,4)=87,(0,2)=93,(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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=29\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=29 Succeeded, w=58\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4}, Find(1)=2, Find(5)=4, Add (1,5)=30 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=46 Succeeded, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=55 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=58 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=93 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,64],[0,2,15],[0,3,55],[1,2,88],[1,3,12],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,15],[0,3,55],[1,2,88],[1,3,12],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,15],[0,3,55],[1,2,88],[1,3,12],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,15],[0,3,55],[1,2,88],[1,3,12],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (1,3)=12, w=23\",\"Add (0,2)=15, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,15],[0,3,55],[1,2,88],[1,3,12],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (1,3)=12 Succeeded, w=23\",\"Add (0,2)=15 Succeeded, w=38\",\"Add (0,3)=55 Failed, w=38\",\"Add (0,1)=64 Failed, w=38\",\"Add (1,2)=88 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,15],[0,3,55],[1,2,88],[1,3,12],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(1,3)=12,(0,2)=15,(0,3)=55,(0,1)=64,(1,2)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=2, Add (1,3)=12 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=38\",\"Find(0)=2, Find(3)=2, Add (0,3)=55 Failed, w=38\",\"Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=38\",\"Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,15],[0,3,55],[1,2,88],[1,3,12],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(1,3)=12,(0,2)=15,(0,3)=55,(0,1)=64,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=12 Succeeded, w=23\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=55 Failed, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=64 Failed, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,1],[0,2,85],[0,3,41],[1,2,46],[1,3,2],[2,3,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,85],[0,3,41],[1,2,46],[1,3,2],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,85],[0,3,41],[1,2,46],[1,3,2],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,85],[0,3,41],[1,2,46],[1,3,2],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (1,3)=2, w=3\",\"Add (1,2)=46, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,85],[0,3,41],[1,2,46],[1,3,2],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (1,3)=2 Succeeded, w=3\",\"Add (0,3)=41 Failed, w=3\",\"Add (1,2)=46 Succeeded, w=49\",\"Add (2,3)=50 Failed, w=49\",\"Add (0,2)=85 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,85],[0,3,41],[1,2,46],[1,3,2],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,3)=2,(0,3)=41,(1,2)=46,(2,3)=50,(0,2)=85]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(1)=0, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=3\",\"Find(1)=0, Find(2)=2, Add (1,2)=46 Succeeded, w=49\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=49\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,85],[0,3,41],[1,2,46],[1,3,2],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,3)=2,(0,3)=41,(1,2)=46,(2,3)=50,(0,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=46 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,83],[0,2,23],[0,3,84],[0,4,2],[0,5,19],[1,4,55],[1,5,50],[2,3,98],[2,4,66],[3,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,23],[0,3,84],[0,4,2],[0,5,19],[1,4,55],[1,5,50],[2,3,98],[2,4,66],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,23],[0,3,84],[0,4,2],[0,5,19],[1,4,55],[1,5,50],[2,3,98],[2,4,66],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (0,3)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,23],[0,3,84],[0,4,2],[0,5,19],[1,4,55],[1,5,50],[2,3,98],[2,4,66],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (0,5)=19, w=21\",\"Add (0,2)=23, w=44\",\"Add (1,5)=50, w=94\",\"Add (0,3)=84, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,23],[0,3,84],[0,4,2],[0,5,19],[1,4,55],[1,5,50],[2,3,98],[2,4,66],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (0,5)=19 Succeeded, w=21\",\"Add (0,2)=23 Succeeded, w=44\",\"Add (1,5)=50 Succeeded, w=94\",\"Add (1,4)=55 Failed, w=94\",\"Add (2,4)=66 Failed, w=94\",\"Add (0,1)=83 Failed, w=94\",\"Add (0,3)=84 Succeeded, w=178\",\"Add (3,4)=91 Failed, w=178\",\"Add (2,3)=98 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,23],[0,3,84],[0,4,2],[0,5,19],[1,4,55],[1,5,50],[2,3,98],[2,4,66],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(0,5)=19,(0,2)=23,(1,5)=50,(1,4)=55,(2,4)=66,(0,1)=83,(0,3)=84,(3,4)=91,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=44\",\"Find(1)=1, Find(5)=0, Add (1,5)=50 Succeeded, w=94\",\"Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=94\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=94\",\"Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=94\",\"Find(0)=0, Find(3)=3, Add (0,3)=84 Succeeded, w=178\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=178\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,23],[0,3,84],[0,4,2],[0,5,19],[1,4,55],[1,5,50],[2,3,98],[2,4,66],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(0,5)=19,(0,2)=23,(1,5)=50,(1,4)=55,(2,4)=66,(0,1)=83,(0,3)=84,(3,4)=91,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, 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: 0}, Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=50 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=84 Succeeded, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,55],[0,3,68],[1,2,69],[1,3,57],[2,3,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,55],[0,3,68],[1,2,69],[1,3,57],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,55],[0,3,68],[1,2,69],[1,3,57],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,55],[0,3,68],[1,2,69],[1,3,57],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=55, w=55\",\"Add (1,3)=57, w=112\",\"Add (2,3)=61, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,55],[0,3,68],[1,2,69],[1,3,57],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=55 Succeeded, w=55\",\"Add (1,3)=57 Succeeded, w=112\",\"Add (2,3)=61 Succeeded, w=173\",\"Add (0,3)=68 Failed, w=173\",\"Add (1,2)=69 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,55],[0,3,68],[1,2,69],[1,3,57],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=55,(1,3)=57,(2,3)=61,(0,3)=68,(1,2)=69]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=55\",\"Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=112\",\"Find(2)=0, Find(3)=1, Add (2,3)=61 Succeeded, w=173\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=173\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,55],[0,3,68],[1,2,69],[1,3,57],[2,3,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=55,(1,3)=57,(2,3)=61,(0,3)=68,(1,2)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=57 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(2)=0, Find(3)=1, Add (2,3)=61 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,3],[1,2,40],[1,3,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,3],[1,2,40],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,3],[1,2,40],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,3],[1,2,40],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (1,3)=17, w=20\",\"Add (1,2)=40, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,3],[1,2,40],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,3)=17 Succeeded, w=20\",\"Add (1,2)=40 Succeeded, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,3],[1,2,40],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,3)=17,(1,2)=40]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=20\",\"Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,3],[1,2,40],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,3)=17,(1,2)=40]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,28],[0,3,95],[0,4,25],[0,5,11],[1,2,41],[1,3,39],[1,5,16],[2,3,90],[2,4,46],[2,5,24],[3,4,83],[3,5,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,95],[0,4,25],[0,5,11],[1,2,41],[1,3,39],[1,5,16],[2,3,90],[2,4,46],[2,5,24],[3,4,83],[3,5,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,95],[0,4,25],[0,5,11],[1,2,41],[1,3,39],[1,5,16],[2,3,90],[2,4,46],[2,5,24],[3,4,83],[3,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,95],[0,4,25],[0,5,11],[1,2,41],[1,3,39],[1,5,16],[2,3,90],[2,4,46],[2,5,24],[3,4,83],[3,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=11, w=11\",\"Add (1,5)=16, w=27\",\"Add (2,5)=24, w=51\",\"Add (0,4)=25, w=76\",\"Add (1,3)=39, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,95],[0,4,25],[0,5,11],[1,2,41],[1,3,39],[1,5,16],[2,3,90],[2,4,46],[2,5,24],[3,4,83],[3,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=11 Succeeded, w=11\",\"Add (1,5)=16 Succeeded, w=27\",\"Add (2,5)=24 Succeeded, w=51\",\"Add (0,4)=25 Succeeded, w=76\",\"Add (0,1)=28 Failed, w=76\",\"Add (1,3)=39 Succeeded, w=115\",\"Add (1,2)=41 Failed, w=115\",\"Add (2,4)=46 Failed, w=115\",\"Add (3,4)=83 Failed, w=115\",\"Add (3,5)=86 Failed, w=115\",\"Add (2,3)=90 Failed, w=115\",\"Add (0,3)=95 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,95],[0,4,25],[0,5,11],[1,2,41],[1,3,39],[1,5,16],[2,3,90],[2,4,46],[2,5,24],[3,4,83],[3,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=11,(1,5)=16,(2,5)=24,(0,4)=25,(0,1)=28,(1,3)=39,(1,2)=41,(2,4)=46,(3,4)=83,(3,5)=86,(2,3)=90,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=11\",\"Find(1)=1, Find(5)=0, Add (1,5)=16 Succeeded, w=27\",\"Find(2)=2, Find(5)=0, Add (2,5)=24 Succeeded, w=51\",\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=76\",\"Find(0)=0, Find(1)=0, Add (0,1)=28 Failed, w=76\",\"Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=115\",\"Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=115\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=115\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=115\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,95],[0,4,25],[0,5,11],[1,2,41],[1,3,39],[1,5,16],[2,3,90],[2,4,46],[2,5,24],[3,4,83],[3,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=11,(1,5)=16,(2,5)=24,(0,4)=25,(0,1)=28,(1,3)=39,(1,2)=41,(2,4)=46,(3,4)=83,(3,5)=86,(2,3)=90,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=16 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=24 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=28 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=3, Add (1,3)=39 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=46 Failed, w=115\",\"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=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,54],[0,4,38],[0,5,100],[1,2,24],[1,3,90],[1,4,2],[1,5,63],[2,3,74],[2,5,28],[3,4,90],[3,5,6],[4,5,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,54],[0,4,38],[0,5,100],[1,2,24],[1,3,90],[1,4,2],[1,5,63],[2,3,74],[2,5,28],[3,4,90],[3,5,6],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,54],[0,4,38],[0,5,100],[1,2,24],[1,3,90],[1,4,2],[1,5,63],[2,3,74],[2,5,28],[3,4,90],[3,5,6],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (0,4)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,54],[0,4,38],[0,5,100],[1,2,24],[1,3,90],[1,4,2],[1,5,63],[2,3,74],[2,5,28],[3,4,90],[3,5,6],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (3,5)=6, w=8\",\"Add (1,2)=24, w=32\",\"Add (2,5)=28, w=60\",\"Add (0,4)=38, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,54],[0,4,38],[0,5,100],[1,2,24],[1,3,90],[1,4,2],[1,5,63],[2,3,74],[2,5,28],[3,4,90],[3,5,6],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (3,5)=6 Succeeded, w=8\",\"Add (1,2)=24 Succeeded, w=32\",\"Add (2,5)=28 Succeeded, w=60\",\"Add (0,4)=38 Succeeded, w=98\",\"Add (0,2)=54 Failed, w=98\",\"Add (1,5)=63 Failed, w=98\",\"Add (4,5)=65 Failed, w=98\",\"Add (2,3)=74 Failed, w=98\",\"Add (1,3)=90 Failed, w=98\",\"Add (3,4)=90 Failed, w=98\",\"Add (0,5)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,54],[0,4,38],[0,5,100],[1,2,24],[1,3,90],[1,4,2],[1,5,63],[2,3,74],[2,5,28],[3,4,90],[3,5,6],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,5)=6,(1,2)=24,(2,5)=28,(0,4)=38,(0,2)=54,(1,5)=63,(4,5)=65,(2,3)=74,(1,3)=90,(3,4)=90,(0,5)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=32\",\"Find(2)=1, Find(5)=3, Add (2,5)=28 Succeeded, w=60\",\"Find(0)=0, Find(4)=1, Add (0,4)=38 Succeeded, w=98\",\"Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=98\",\"Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=98\",\"Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=98\",\"Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=98\",\"Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=98\",\"Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=98\",\"Find(0)=1, Find(5)=1, Add (0,5)=100 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,54],[0,4,38],[0,5,100],[1,2,24],[1,3,90],[1,4,2],[1,5,63],[2,3,74],[2,5,28],[3,4,90],[3,5,6],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,5)=6,(1,2)=24,(2,5)=28,(0,4)=38,(0,2)=54,(1,5)=63,(4,5)=65,(2,3)=74,(1,3)=90,(3,4)=90,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(2)=1, Find(5)=3, Add (2,5)=28 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=0, Find(4)=1, Add (0,4)=38 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(2)=1, Add (0,2)=54 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=65 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=98\",\"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=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,2],[0,3,74],[0,5,13],[1,2,52],[1,5,73],[2,4,100],[4,5,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,3,74],[0,5,13],[1,2,52],[1,5,73],[2,4,100],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,3,74],[0,5,13],[1,2,52],[1,5,73],[2,4,100],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,3,74],[0,5,13],[1,2,52],[1,5,73],[2,4,100],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (0,5)=13, w=15\",\"Add (1,2)=52, w=67\",\"Add (0,3)=74, w=141\",\"Add (4,5)=83, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,3,74],[0,5,13],[1,2,52],[1,5,73],[2,4,100],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (0,5)=13 Succeeded, w=15\",\"Add (1,2)=52 Succeeded, w=67\",\"Add (1,5)=73 Failed, w=67\",\"Add (0,3)=74 Succeeded, w=141\",\"Add (4,5)=83 Succeeded, w=224\",\"Add (2,4)=100 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,3,74],[0,5,13],[1,2,52],[1,5,73],[2,4,100],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,5)=13,(1,2)=52,(1,5)=73,(0,3)=74,(4,5)=83,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=15\",\"Find(1)=1, Find(2)=0, Add (1,2)=52 Succeeded, w=67\",\"Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=67\",\"Find(0)=0, Find(3)=3, Add (0,3)=74 Succeeded, w=141\",\"Find(4)=4, Find(5)=0, Add (4,5)=83 Succeeded, w=224\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,3,74],[0,5,13],[1,2,52],[1,5,73],[2,4,100],[4,5,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,5)=13,(1,2)=52,(1,5)=73,(0,3)=74,(4,5)=83,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, 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}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=52 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=74 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=83 Succeeded, w=224\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,89],[0,2,0],[0,3,19],[0,4,95],[0,5,21],[1,2,34],[1,4,23],[2,3,17],[2,4,21],[3,4,13],[3,5,22],[4,5,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,0],[0,3,19],[0,4,95],[0,5,21],[1,2,34],[1,4,23],[2,3,17],[2,4,21],[3,4,13],[3,5,22],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,0],[0,3,19],[0,4,95],[0,5,21],[1,2,34],[1,4,23],[2,3,17],[2,4,21],[3,4,13],[3,5,22],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (1,4)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,0],[0,3,19],[0,4,95],[0,5,21],[1,2,34],[1,4,23],[2,3,17],[2,4,21],[3,4,13],[3,5,22],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (3,4)=13, w=13\",\"Add (2,3)=17, w=30\",\"Add (0,5)=21, w=51\",\"Add (1,4)=23, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,0],[0,3,19],[0,4,95],[0,5,21],[1,2,34],[1,4,23],[2,3,17],[2,4,21],[3,4,13],[3,5,22],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (3,4)=13 Succeeded, w=13\",\"Add (2,3)=17 Succeeded, w=30\",\"Add (0,3)=19 Failed, w=30\",\"Add (0,5)=21 Succeeded, w=51\",\"Add (2,4)=21 Failed, w=51\",\"Add (3,5)=22 Failed, w=51\",\"Add (1,4)=23 Succeeded, w=74\",\"Add (1,2)=34 Failed, w=74\",\"Add (0,1)=89 Failed, w=74\",\"Add (0,4)=95 Failed, w=74\",\"Add (4,5)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,0],[0,3,19],[0,4,95],[0,5,21],[1,2,34],[1,4,23],[2,3,17],[2,4,21],[3,4,13],[3,5,22],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(3,4)=13,(2,3)=17,(0,3)=19,(0,5)=21,(2,4)=21,(3,5)=22,(1,4)=23,(1,2)=34,(0,1)=89,(0,4)=95,(4,5)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=13\",\"Find(2)=0, Find(3)=3, Add (2,3)=17 Succeeded, w=30\",\"Find(0)=0, Find(3)=0, Add (0,3)=19 Failed, w=30\",\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=51\",\"Find(2)=0, Find(4)=0, Add (2,4)=21 Failed, w=51\",\"Find(3)=0, Find(5)=0, Add (3,5)=22 Failed, w=51\",\"Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=34 Failed, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=74\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=74\",\"Find(4)=0, Find(5)=0, Add (4,5)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,89],[0,2,0],[0,3,19],[0,4,95],[0,5,21],[1,2,34],[1,4,23],[2,3,17],[2,4,21],[3,4,13],[3,5,22],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(3,4)=13,(2,3)=17,(0,3)=19,(0,5)=21,(2,4)=21,(3,5)=22,(1,4)=23,(1,2)=34,(0,1)=89,(0,4)=95,(4,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 5}, Find(2)=0, Find(3)=3, Add (2,3)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 5}, Find(0)=0, Find(3)=0, Add (0,3)=19 Failed, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=21 Failed, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=22 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=34 Failed, w=74\",\"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=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=95 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,54],[0,2,51],[0,3,38],[0,4,10],[0,5,41],[1,2,50],[1,3,22],[1,4,55],[1,5,56],[2,3,2],[2,4,96],[2,5,52],[3,4,29],[4,5,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,51],[0,3,38],[0,4,10],[0,5,41],[1,2,50],[1,3,22],[1,4,55],[1,5,56],[2,3,2],[2,4,96],[2,5,52],[3,4,29],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,51],[0,3,38],[0,4,10],[0,5,41],[1,2,50],[1,3,22],[1,4,55],[1,5,56],[2,3,2],[2,4,96],[2,5,52],[3,4,29],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,5)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,51],[0,3,38],[0,4,10],[0,5,41],[1,2,50],[1,3,22],[1,4,55],[1,5,56],[2,3,2],[2,4,96],[2,5,52],[3,4,29],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (0,4)=10, w=12\",\"Add (1,3)=22, w=34\",\"Add (3,4)=29, w=63\",\"Add (0,5)=41, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,51],[0,3,38],[0,4,10],[0,5,41],[1,2,50],[1,3,22],[1,4,55],[1,5,56],[2,3,2],[2,4,96],[2,5,52],[3,4,29],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (0,4)=10 Succeeded, w=12\",\"Add (1,3)=22 Succeeded, w=34\",\"Add (3,4)=29 Succeeded, w=63\",\"Add (0,3)=38 Failed, w=63\",\"Add (0,5)=41 Succeeded, w=104\",\"Add (1,2)=50 Failed, w=104\",\"Add (0,2)=51 Failed, w=104\",\"Add (2,5)=52 Failed, w=104\",\"Add (0,1)=54 Failed, w=104\",\"Add (1,4)=55 Failed, w=104\",\"Add (1,5)=56 Failed, w=104\",\"Add (4,5)=65 Failed, w=104\",\"Add (2,4)=96 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,51],[0,3,38],[0,4,10],[0,5,41],[1,2,50],[1,3,22],[1,4,55],[1,5,56],[2,3,2],[2,4,96],[2,5,52],[3,4,29],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,4)=10,(1,3)=22,(3,4)=29,(0,3)=38,(0,5)=41,(1,2)=50,(0,2)=51,(2,5)=52,(0,1)=54,(1,4)=55,(1,5)=56,(4,5)=65,(2,4)=96]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=12\",\"Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=34\",\"Find(3)=2, Find(4)=0, Add (3,4)=29 Succeeded, w=63\",\"Find(0)=2, Find(3)=2, Add (0,3)=38 Failed, w=63\",\"Find(0)=2, Find(5)=5, Add (0,5)=41 Succeeded, w=104\",\"Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=104\",\"Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=104\",\"Find(2)=2, Find(5)=2, Add (2,5)=52 Failed, w=104\",\"Find(0)=2, Find(1)=2, Add (0,1)=54 Failed, w=104\",\"Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=104\",\"Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=104\",\"Find(4)=2, Find(5)=2, Add (4,5)=65 Failed, w=104\",\"Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,51],[0,3,38],[0,4,10],[0,5,41],[1,2,50],[1,3,22],[1,4,55],[1,5,56],[2,3,2],[2,4,96],[2,5,52],[3,4,29],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(0,4)=10,(1,3)=22,(3,4)=29,(0,3)=38,(0,5)=41,(1,2)=50,(0,2)=51,(2,5)=52,(0,1)=54,(1,4)=55,(1,5)=56,(4,5)=65,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 5}, Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 5}, Find(3)=2, Find(4)=0, Add (3,4)=29 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 5}, Find(0)=2, Find(3)=2, Add (0,3)=38 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(5)=5, Add (0,5)=41 Succeeded, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=50 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=52 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=54 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=55 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=56 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=65 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,94],[0,2,92],[0,3,35],[0,4,61],[1,5,90],[1,6,94],[2,4,12],[3,4,30],[3,6,26],[4,6,65],[5,6,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,92],[0,3,35],[0,4,61],[1,5,90],[1,6,94],[2,4,12],[3,4,30],[3,6,26],[4,6,65],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,92],[0,3,35],[0,4,61],[1,5,90],[1,6,94],[2,4,12],[3,4,30],[3,6,26],[4,6,65],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,92],[0,3,35],[0,4,61],[1,5,90],[1,6,94],[2,4,12],[3,4,30],[3,6,26],[4,6,65],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2, w=2\",\"Add (2,4)=12, w=14\",\"Add (3,6)=26, w=40\",\"Add (3,4)=30, w=70\",\"Add (0,3)=35, w=105\",\"Add (1,5)=90, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,92],[0,3,35],[0,4,61],[1,5,90],[1,6,94],[2,4,12],[3,4,30],[3,6,26],[4,6,65],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2 Succeeded, w=2\",\"Add (2,4)=12 Succeeded, w=14\",\"Add (3,6)=26 Succeeded, w=40\",\"Add (3,4)=30 Succeeded, w=70\",\"Add (0,3)=35 Succeeded, w=105\",\"Add (0,4)=61 Failed, w=105\",\"Add (4,6)=65 Failed, w=105\",\"Add (1,5)=90 Succeeded, w=195\",\"Add (0,2)=92 Failed, w=195\",\"Add (0,1)=94 Failed, w=195\",\"Add (1,6)=94 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,92],[0,3,35],[0,4,61],[1,5,90],[1,6,94],[2,4,12],[3,4,30],[3,6,26],[4,6,65],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(2,4)=12,(3,6)=26,(3,4)=30,(0,3)=35,(0,4)=61,(4,6)=65,(1,5)=90,(0,2)=92,(0,1)=94,(1,6)=94]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=14\",\"Find(3)=3, Find(6)=5, Add (3,6)=26 Succeeded, w=40\",\"Find(3)=5, Find(4)=2, Add (3,4)=30 Succeeded, w=70\",\"Find(0)=0, Find(3)=5, Add (0,3)=35 Succeeded, w=105\",\"Find(0)=5, Find(4)=5, Add (0,4)=61 Failed, w=105\",\"Find(4)=5, Find(6)=5, Add (4,6)=65 Failed, w=105\",\"Find(1)=1, Find(5)=5, Add (1,5)=90 Succeeded, w=195\",\"Find(0)=5, Find(2)=5, Add (0,2)=92 Failed, w=195\",\"Find(0)=5, Find(1)=5, Add (0,1)=94 Failed, w=195\",\"Find(1)=5, Find(6)=5, Add (1,6)=94 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,92],[0,3,35],[0,4,61],[1,5,90],[1,6,94],[2,4,12],[3,4,30],[3,6,26],[4,6,65],[5,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(2,4)=12,(3,6)=26,(3,4)=30,(0,3)=35,(0,4)=61,(4,6)=65,(1,5)=90,(0,2)=92,(0,1)=94,(1,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 2, 5: 5, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=26 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5}, Find(3)=5, Find(4)=2, Add (3,4)=30 Succeeded, w=70\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5}, Find(0)=0, Find(3)=5, Add (0,3)=35 Succeeded, w=105\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=61 Failed, w=105\",\"Parent: {0: 5, 1: 1, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(6)=5, Add (4,6)=65 Failed, w=105\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=1, Find(5)=5, Add (1,5)=90 Succeeded, w=195\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(2)=5, Add (0,2)=92 Failed, w=195\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(1)=5, Add (0,1)=94 Failed, w=195\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(6)=5, Add (1,6)=94 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,65],[0,2,51],[0,3,42],[0,4,52],[0,5,57],[1,2,97],[1,3,62],[1,4,75],[1,5,34],[2,3,65],[2,4,66],[3,4,22],[3,5,1],[4,5,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,51],[0,3,42],[0,4,52],[0,5,57],[1,2,97],[1,3,62],[1,4,75],[1,5,34],[2,3,65],[2,4,66],[3,4,22],[3,5,1],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,51],[0,3,42],[0,4,52],[0,5,57],[1,2,97],[1,3,62],[1,4,75],[1,5,34],[2,3,65],[2,4,66],[3,4,22],[3,5,1],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (0,3)\",\"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\":[[0,1,65],[0,2,51],[0,3,42],[0,4,52],[0,5,57],[1,2,97],[1,3,62],[1,4,75],[1,5,34],[2,3,65],[2,4,66],[3,4,22],[3,5,1],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (4,5)=2, w=3\",\"Add (1,5)=34, w=37\",\"Add (0,3)=42, w=79\",\"Add (0,2)=51, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,51],[0,3,42],[0,4,52],[0,5,57],[1,2,97],[1,3,62],[1,4,75],[1,5,34],[2,3,65],[2,4,66],[3,4,22],[3,5,1],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (4,5)=2 Succeeded, w=3\",\"Add (3,4)=22 Failed, w=3\",\"Add (1,5)=34 Succeeded, w=37\",\"Add (0,3)=42 Succeeded, w=79\",\"Add (0,2)=51 Succeeded, w=130\",\"Add (0,4)=52 Failed, w=130\",\"Add (0,5)=57 Failed, w=130\",\"Add (1,3)=62 Failed, w=130\",\"Add (0,1)=65 Failed, w=130\",\"Add (2,3)=65 Failed, w=130\",\"Add (2,4)=66 Failed, w=130\",\"Add (1,4)=75 Failed, w=130\",\"Add (1,2)=97 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,51],[0,3,42],[0,4,52],[0,5,57],[1,2,97],[1,3,62],[1,4,75],[1,5,34],[2,3,65],[2,4,66],[3,4,22],[3,5,1],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(4,5)=2,(3,4)=22,(1,5)=34,(0,3)=42,(0,2)=51,(0,4)=52,(0,5)=57,(1,3)=62,(0,1)=65,(2,3)=65,(2,4)=66,(1,4)=75,(1,2)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=3, Add (4,5)=2 Succeeded, w=3\",\"Find(3)=3, Find(4)=3, Add (3,4)=22 Failed, w=3\",\"Find(1)=1, Find(5)=3, Add (1,5)=34 Succeeded, w=37\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=79\",\"Find(0)=3, Find(2)=2, Add (0,2)=51 Succeeded, w=130\",\"Find(0)=3, Find(4)=3, Add (0,4)=52 Failed, w=130\",\"Find(0)=3, Find(5)=3, Add (0,5)=57 Failed, w=130\",\"Find(1)=3, Find(3)=3, Add (1,3)=62 Failed, w=130\",\"Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=130\",\"Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=130\",\"Find(2)=3, Find(4)=3, Add (2,4)=66 Failed, w=130\",\"Find(1)=3, Find(4)=3, Add (1,4)=75 Failed, w=130\",\"Find(1)=3, Find(2)=3, Add (1,2)=97 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,51],[0,3,42],[0,4,52],[0,5,57],[1,2,97],[1,3,62],[1,4,75],[1,5,34],[2,3,65],[2,4,66],[3,4,22],[3,5,1],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(4,5)=2,(3,4)=22,(1,5)=34,(0,3)=42,(0,2)=51,(0,4)=52,(0,5)=57,(1,3)=62,(0,1)=65,(2,3)=65,(2,4)=66,(1,4)=75,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=22 Failed, w=3\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=34 Succeeded, w=37\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=79\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=2, Add (0,2)=51 Succeeded, w=130\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=52 Failed, w=130\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=57 Failed, w=130\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=62 Failed, w=130\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=65 Failed, w=130\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=65 Failed, w=130\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=66 Failed, w=130\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=75 Failed, w=130\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=97 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,2,7],[0,3,93],[1,2,0],[1,3,30],[2,3,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,7],[0,3,93],[1,2,0],[1,3,30],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,7],[0,3,93],[1,2,0],[1,3,30],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,7],[0,3,93],[1,2,0],[1,3,30],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,2)=7, w=7\",\"Add (2,3)=8, w=15\"],\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,7],[0,3,93],[1,2,0],[1,3,30],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,2)=7 Succeeded, w=7\",\"Add (2,3)=8 Succeeded, w=15\",\"Add (0,1)=11 Failed, w=15\",\"Add (1,3)=30 Failed, w=15\",\"Add (0,3)=93 Failed, w=15\"],\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,7],[0,3,93],[1,2,0],[1,3,30],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,2)=7,(2,3)=8,(0,1)=11,(1,3)=30,(0,3)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=1, Add (0,2)=7 Succeeded, w=7\",\"Find(2)=1, Find(3)=3, Add (2,3)=8 Succeeded, w=15\",\"Find(0)=1, Find(1)=1, Add (0,1)=11 Failed, w=15\",\"Find(1)=1, Find(3)=1, Add (1,3)=30 Failed, w=15\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=15\"],\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,7],[0,3,93],[1,2,0],[1,3,30],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,2)=7,(2,3)=8,(0,1)=11,(1,3)=30,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=8 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=11 Failed, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=30 Failed, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=15\"],\"Answer\":15}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,50],[0,3,87],[0,4,6],[1,3,79],[1,4,68],[2,3,8],[2,4,58],[3,4,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,50],[0,3,87],[0,4,6],[1,3,79],[1,4,68],[2,3,8],[2,4,58],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,50],[0,3,87],[0,4,6],[1,3,79],[1,4,68],[2,3,8],[2,4,58],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,50],[0,3,87],[0,4,6],[1,3,79],[1,4,68],[2,3,8],[2,4,58],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (2,3)=8, w=14\",\"Add (0,1)=33, w=47\",\"Add (0,2)=50, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,50],[0,3,87],[0,4,6],[1,3,79],[1,4,68],[2,3,8],[2,4,58],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (2,3)=8 Succeeded, w=14\",\"Add (0,1)=33 Succeeded, w=47\",\"Add (0,2)=50 Succeeded, w=97\",\"Add (2,4)=58 Failed, w=97\",\"Add (1,4)=68 Failed, w=97\",\"Add (1,3)=79 Failed, w=97\",\"Add (3,4)=82 Failed, w=97\",\"Add (0,3)=87 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,50],[0,3,87],[0,4,6],[1,3,79],[1,4,68],[2,3,8],[2,4,58],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(2,3)=8,(0,1)=33,(0,2)=50,(2,4)=58,(1,4)=68,(1,3)=79,(3,4)=82,(0,3)=87]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=47\",\"Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=97\",\"Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=97\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=97\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,50],[0,3,87],[0,4,6],[1,3,79],[1,4,68],[2,3,8],[2,4,58],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(2,3)=8,(0,1)=33,(0,2)=50,(2,4)=58,(1,4)=68,(1,3)=79,(3,4)=82,(0,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,98],[0,4,32],[1,2,82],[1,3,46],[1,4,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,4,32],[1,2,82],[1,3,46],[1,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,4,32],[1,2,82],[1,3,46],[1,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (1,2)\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,4,32],[1,2,82],[1,3,46],[1,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=32, w=32\",\"Add (1,3)=46, w=78\",\"Add (1,4)=73, w=151\",\"Add (1,2)=82, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,4,32],[1,2,82],[1,3,46],[1,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=32 Succeeded, w=32\",\"Add (1,3)=46 Succeeded, w=78\",\"Add (1,4)=73 Succeeded, w=151\",\"Add (1,2)=82 Succeeded, w=233\",\"Add (0,1)=98 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,4,32],[1,2,82],[1,3,46],[1,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=32,(1,3)=46,(1,4)=73,(1,2)=82,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=32\",\"Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=78\",\"Find(1)=1, Find(4)=0, Add (1,4)=73 Succeeded, w=151\",\"Find(1)=1, Find(2)=2, Add (1,2)=82 Succeeded, w=233\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,4,32],[1,2,82],[1,3,46],[1,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=32,(1,3)=46,(1,4)=73,(1,2)=82,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=46 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=73 Succeeded, w=151\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=82 Succeeded, w=233\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,75],[0,2,41],[0,3,72],[0,4,78],[0,5,33],[1,2,75],[1,3,7],[1,4,95],[1,5,96],[2,3,47],[2,4,31],[2,5,50],[3,4,57],[4,5,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,41],[0,3,72],[0,4,78],[0,5,33],[1,2,75],[1,3,7],[1,4,95],[1,5,96],[2,3,47],[2,4,31],[2,5,50],[3,4,57],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,41],[0,3,72],[0,4,78],[0,5,33],[1,2,75],[1,3,7],[1,4,95],[1,5,96],[2,3,47],[2,4,31],[2,5,50],[3,4,57],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (2,3)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,41],[0,3,72],[0,4,78],[0,5,33],[1,2,75],[1,3,7],[1,4,95],[1,5,96],[2,3,47],[2,4,31],[2,5,50],[3,4,57],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (4,5)=16, w=23\",\"Add (2,4)=31, w=54\",\"Add (0,5)=33, w=87\",\"Add (2,3)=47, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,41],[0,3,72],[0,4,78],[0,5,33],[1,2,75],[1,3,7],[1,4,95],[1,5,96],[2,3,47],[2,4,31],[2,5,50],[3,4,57],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (4,5)=16 Succeeded, w=23\",\"Add (2,4)=31 Succeeded, w=54\",\"Add (0,5)=33 Succeeded, w=87\",\"Add (0,2)=41 Failed, w=87\",\"Add (2,3)=47 Succeeded, w=134\",\"Add (2,5)=50 Failed, w=134\",\"Add (3,4)=57 Failed, w=134\",\"Add (0,3)=72 Failed, w=134\",\"Add (0,1)=75 Failed, w=134\",\"Add (1,2)=75 Failed, w=134\",\"Add (0,4)=78 Failed, w=134\",\"Add (1,4)=95 Failed, w=134\",\"Add (1,5)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,41],[0,3,72],[0,4,78],[0,5,33],[1,2,75],[1,3,7],[1,4,95],[1,5,96],[2,3,47],[2,4,31],[2,5,50],[3,4,57],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(4,5)=16,(2,4)=31,(0,5)=33,(0,2)=41,(2,3)=47,(2,5)=50,(3,4)=57,(0,3)=72,(0,1)=75,(1,2)=75,(0,4)=78,(1,4)=95,(1,5)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=23\",\"Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=54\",\"Find(0)=0, Find(5)=4, Add (0,5)=33 Succeeded, w=87\",\"Find(0)=4, Find(2)=4, Add (0,2)=41 Failed, w=87\",\"Find(2)=4, Find(3)=1, Add (2,3)=47 Succeeded, w=134\",\"Find(2)=4, Find(5)=4, Add (2,5)=50 Failed, w=134\",\"Find(3)=4, Find(4)=4, Add (3,4)=57 Failed, w=134\",\"Find(0)=4, Find(3)=4, Add (0,3)=72 Failed, w=134\",\"Find(0)=4, Find(1)=4, Add (0,1)=75 Failed, w=134\",\"Find(1)=4, Find(2)=4, Add (1,2)=75 Failed, w=134\",\"Find(0)=4, Find(4)=4, Add (0,4)=78 Failed, w=134\",\"Find(1)=4, Find(4)=4, Add (1,4)=95 Failed, w=134\",\"Find(1)=4, Find(5)=4, Add (1,5)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,75],[0,2,41],[0,3,72],[0,4,78],[0,5,33],[1,2,75],[1,3,7],[1,4,95],[1,5,96],[2,3,47],[2,4,31],[2,5,50],[3,4,57],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(4,5)=16,(2,4)=31,(0,5)=33,(0,2)=41,(2,3)=47,(2,5)=50,(3,4)=57,(0,3)=72,(0,1)=75,(1,2)=75,(0,4)=78,(1,4)=95,(1,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=31 Succeeded, w=54\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(0)=0, Find(5)=4, Add (0,5)=33 Succeeded, w=87\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 1, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=41 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4}, Find(2)=4, Find(3)=1, Add (2,3)=47 Succeeded, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=50 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=57 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=72 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=75 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=4, Add (1,2)=75 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=78 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(4)=4, Add (1,4)=95 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,20],[0,2,25],[0,3,40],[0,4,64],[0,5,32],[0,6,40],[0,7,29],[1,2,68],[1,3,29],[1,4,6],[1,5,75],[1,6,66],[1,7,35],[2,3,70],[2,4,50],[2,5,13],[2,6,28],[2,7,62],[3,4,95],[3,5,95],[3,6,59],[3,7,28],[4,5,26],[4,6,92],[5,6,51],[5,7,0],[6,7,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,25],[0,3,40],[0,4,64],[0,5,32],[0,6,40],[0,7,29],[1,2,68],[1,3,29],[1,4,6],[1,5,75],[1,6,66],[1,7,35],[2,3,70],[2,4,50],[2,5,13],[2,6,28],[2,7,62],[3,4,95],[3,5,95],[3,6,59],[3,7,28],[4,5,26],[4,6,92],[5,6,51],[5,7,0],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,25],[0,3,40],[0,4,64],[0,5,32],[0,6,40],[0,7,29],[1,2,68],[1,3,29],[1,4,6],[1,5,75],[1,6,66],[1,7,35],[2,3,70],[2,4,50],[2,5,13],[2,6,28],[2,7,62],[3,4,95],[3,5,95],[3,6,59],[3,7,28],[4,5,26],[4,6,92],[5,6,51],[5,7,0],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (3,7)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,25],[0,3,40],[0,4,64],[0,5,32],[0,6,40],[0,7,29],[1,2,68],[1,3,29],[1,4,6],[1,5,75],[1,6,66],[1,7,35],[2,3,70],[2,4,50],[2,5,13],[2,6,28],[2,7,62],[3,4,95],[3,5,95],[3,6,59],[3,7,28],[4,5,26],[4,6,92],[5,6,51],[5,7,0],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=0, w=0\",\"Add (1,4)=6, w=6\",\"Add (2,5)=13, w=19\",\"Add (0,1)=20, w=39\",\"Add (0,2)=25, w=64\",\"Add (2,6)=28, w=92\",\"Add (3,7)=28, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,25],[0,3,40],[0,4,64],[0,5,32],[0,6,40],[0,7,29],[1,2,68],[1,3,29],[1,4,6],[1,5,75],[1,6,66],[1,7,35],[2,3,70],[2,4,50],[2,5,13],[2,6,28],[2,7,62],[3,4,95],[3,5,95],[3,6,59],[3,7,28],[4,5,26],[4,6,92],[5,6,51],[5,7,0],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=0 Succeeded, w=0\",\"Add (1,4)=6 Succeeded, w=6\",\"Add (2,5)=13 Succeeded, w=19\",\"Add (0,1)=20 Succeeded, w=39\",\"Add (0,2)=25 Succeeded, w=64\",\"Add (4,5)=26 Failed, w=64\",\"Add (2,6)=28 Succeeded, w=92\",\"Add (3,7)=28 Succeeded, w=120\",\"Add (0,7)=29 Failed, w=120\",\"Add (1,3)=29 Failed, w=120\",\"Add (0,5)=32 Failed, w=120\",\"Add (1,7)=35 Failed, w=120\",\"Add (0,3)=40 Failed, w=120\",\"Add (0,6)=40 Failed, w=120\",\"Add (2,4)=50 Failed, w=120\",\"Add (5,6)=51 Failed, w=120\",\"Add (3,6)=59 Failed, w=120\",\"Add (2,7)=62 Failed, w=120\",\"Add (0,4)=64 Failed, w=120\",\"Add (6,7)=64 Failed, w=120\",\"Add (1,6)=66 Failed, w=120\",\"Add (1,2)=68 Failed, w=120\",\"Add (2,3)=70 Failed, w=120\",\"Add (1,5)=75 Failed, w=120\",\"Add (4,6)=92 Failed, w=120\",\"Add (3,4)=95 Failed, w=120\",\"Add (3,5)=95 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,25],[0,3,40],[0,4,64],[0,5,32],[0,6,40],[0,7,29],[1,2,68],[1,3,29],[1,4,6],[1,5,75],[1,6,66],[1,7,35],[2,3,70],[2,4,50],[2,5,13],[2,6,28],[2,7,62],[3,4,95],[3,5,95],[3,6,59],[3,7,28],[4,5,26],[4,6,92],[5,6,51],[5,7,0],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=0,(1,4)=6,(2,5)=13,(0,1)=20,(0,2)=25,(4,5)=26,(2,6)=28,(3,7)=28,(0,7)=29,(1,3)=29,(0,5)=32,(1,7)=35,(0,3)=40,(0,6)=40,(2,4)=50,(5,6)=51,(3,6)=59,(2,7)=62,(0,4)=64,(6,7)=64,(1,6)=66,(1,2)=68,(2,3)=70,(1,5)=75,(4,6)=92,(3,4)=95,(3,5)=95]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=39\",\"Find(0)=1, Find(2)=5, Add (0,2)=25 Succeeded, w=64\",\"Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=64\",\"Find(2)=1, Find(6)=6, Add (2,6)=28 Succeeded, w=92\",\"Find(3)=3, Find(7)=1, Add (3,7)=28 Succeeded, w=120\",\"Find(0)=1, Find(7)=1, Add (0,7)=29 Failed, w=120\",\"Find(1)=1, Find(3)=1, Add (1,3)=29 Failed, w=120\",\"Find(0)=1, Find(5)=1, Add (0,5)=32 Failed, w=120\",\"Find(1)=1, Find(7)=1, Add (1,7)=35 Failed, w=120\",\"Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=120\",\"Find(0)=1, Find(6)=1, Add (0,6)=40 Failed, w=120\",\"Find(2)=1, Find(4)=1, Add (2,4)=50 Failed, w=120\",\"Find(5)=1, Find(6)=1, Add (5,6)=51 Failed, w=120\",\"Find(3)=1, Find(6)=1, Add (3,6)=59 Failed, w=120\",\"Find(2)=1, Find(7)=1, Add (2,7)=62 Failed, w=120\",\"Find(0)=1, Find(4)=1, Add (0,4)=64 Failed, w=120\",\"Find(6)=1, Find(7)=1, Add (6,7)=64 Failed, w=120\",\"Find(1)=1, Find(6)=1, Add (1,6)=66 Failed, w=120\",\"Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=120\",\"Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=120\",\"Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=120\",\"Find(4)=1, Find(6)=1, Add (4,6)=92 Failed, w=120\",\"Find(3)=1, Find(4)=1, Add (3,4)=95 Failed, w=120\",\"Find(3)=1, Find(5)=1, Add (3,5)=95 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,2,25],[0,3,40],[0,4,64],[0,5,32],[0,6,40],[0,7,29],[1,2,68],[1,3,29],[1,4,6],[1,5,75],[1,6,66],[1,7,35],[2,3,70],[2,4,50],[2,5,13],[2,6,28],[2,7,62],[3,4,95],[3,5,95],[3,6,59],[3,7,28],[4,5,26],[4,6,92],[5,6,51],[5,7,0],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=0,(1,4)=6,(2,5)=13,(0,1)=20,(0,2)=25,(4,5)=26,(2,6)=28,(3,7)=28,(0,7)=29,(1,3)=29,(0,5)=32,(1,7)=35,(0,3)=40,(0,6)=40,(2,4)=50,(5,6)=51,(3,6)=59,(2,7)=62,(0,4)=64,(6,7)=64,(1,6)=66,(1,2)=68,(2,3)=70,(1,5)=75,(4,6)=92,(3,4)=95,(3,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 1, 5: 5, 6: 6, 7: 5}, Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 3, 4: 1, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 3, 4: 1, 5: 1, 6: 6, 7: 5}, Find(0)=1, Find(2)=5, Add (0,2)=25 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 3, 4: 1, 5: 1, 6: 6, 7: 5}, Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(6)=6, Add (2,6)=28 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=28 Succeeded, w=120\",\"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)=29 Failed, w=120\",\"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)=29 Failed, w=120\",\"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)=32 Failed, w=120\",\"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)=35 Failed, w=120\",\"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)=40 Failed, w=120\",\"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)=40 Failed, w=120\",\"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)=50 Failed, w=120\",\"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)=51 Failed, w=120\",\"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)=59 Failed, w=120\",\"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)=62 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=64 Failed, w=120\",\"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)=64 Failed, w=120\",\"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)=66 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=68 Failed, w=120\",\"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)=70 Failed, w=120\",\"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)=75 Failed, w=120\",\"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)=92 Failed, w=120\",\"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)=95 Failed, w=120\",\"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)=95 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,84],[0,4,84],[0,5,84],[0,6,40],[1,5,37],[1,6,57],[1,7,34],[2,3,63],[2,4,99],[2,7,57],[3,5,44],[4,6,18],[4,7,96],[5,6,2],[5,7,74],[6,7,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,4,84],[0,5,84],[0,6,40],[1,5,37],[1,6,57],[1,7,34],[2,3,63],[2,4,99],[2,7,57],[3,5,44],[4,6,18],[4,7,96],[5,6,2],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,4,84],[0,5,84],[0,6,40],[1,5,37],[1,6,57],[1,7,34],[2,3,63],[2,4,99],[2,7,57],[3,5,44],[4,6,18],[4,7,96],[5,6,2],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (6,7)\",\"Add (4,6)\",\"Add (1,7)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (2,7)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,4,84],[0,5,84],[0,6,40],[1,5,37],[1,6,57],[1,7,34],[2,3,63],[2,4,99],[2,7,57],[3,5,44],[4,6,18],[4,7,96],[5,6,2],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2, w=2\",\"Add (6,7)=2, w=4\",\"Add (4,6)=18, w=22\",\"Add (1,7)=34, w=56\",\"Add (0,6)=40, w=96\",\"Add (3,5)=44, w=140\",\"Add (2,7)=57, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,4,84],[0,5,84],[0,6,40],[1,5,37],[1,6,57],[1,7,34],[2,3,63],[2,4,99],[2,7,57],[3,5,44],[4,6,18],[4,7,96],[5,6,2],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=2 Succeeded, w=2\",\"Add (6,7)=2 Succeeded, w=4\",\"Add (4,6)=18 Succeeded, w=22\",\"Add (1,7)=34 Succeeded, w=56\",\"Add (1,5)=37 Failed, w=56\",\"Add (0,6)=40 Succeeded, w=96\",\"Add (3,5)=44 Succeeded, w=140\",\"Add (1,6)=57 Failed, w=140\",\"Add (2,7)=57 Succeeded, w=197\",\"Add (2,3)=63 Failed, w=197\",\"Add (5,7)=74 Failed, w=197\",\"Add (0,2)=84 Failed, w=197\",\"Add (0,4)=84 Failed, w=197\",\"Add (0,5)=84 Failed, w=197\",\"Add (4,7)=96 Failed, w=197\",\"Add (2,4)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,4,84],[0,5,84],[0,6,40],[1,5,37],[1,6,57],[1,7,34],[2,3,63],[2,4,99],[2,7,57],[3,5,44],[4,6,18],[4,7,96],[5,6,2],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(6,7)=2,(4,6)=18,(1,7)=34,(1,5)=37,(0,6)=40,(3,5)=44,(1,6)=57,(2,7)=57,(2,3)=63,(5,7)=74,(0,2)=84,(0,4)=84,(0,5)=84,(4,7)=96,(2,4)=99]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=2 Succeeded, w=2\",\"Find(6)=5, Find(7)=7, Add (6,7)=2 Succeeded, w=4\",\"Find(4)=4, Find(6)=5, Add (4,6)=18 Succeeded, w=22\",\"Find(1)=1, Find(7)=5, Add (1,7)=34 Succeeded, w=56\",\"Find(1)=5, Find(5)=5, Add (1,5)=37 Failed, w=56\",\"Find(0)=0, Find(6)=5, Add (0,6)=40 Succeeded, w=96\",\"Find(3)=3, Find(5)=5, Add (3,5)=44 Succeeded, w=140\",\"Find(1)=5, Find(6)=5, Add (1,6)=57 Failed, w=140\",\"Find(2)=2, Find(7)=5, Add (2,7)=57 Succeeded, w=197\",\"Find(2)=5, Find(3)=5, Add (2,3)=63 Failed, w=197\",\"Find(5)=5, Find(7)=5, Add (5,7)=74 Failed, w=197\",\"Find(0)=5, Find(2)=5, Add (0,2)=84 Failed, w=197\",\"Find(0)=5, Find(4)=5, Add (0,4)=84 Failed, w=197\",\"Find(0)=5, Find(5)=5, Add (0,5)=84 Failed, w=197\",\"Find(4)=5, Find(7)=5, Add (4,7)=96 Failed, w=197\",\"Find(2)=5, Find(4)=5, Add (2,4)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,84],[0,4,84],[0,5,84],[0,6,40],[1,5,37],[1,6,57],[1,7,34],[2,3,63],[2,4,99],[2,7,57],[3,5,44],[4,6,18],[4,7,96],[5,6,2],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=2,(6,7)=2,(4,6)=18,(1,7)=34,(1,5)=37,(0,6)=40,(3,5)=44,(1,6)=57,(2,7)=57,(2,3)=63,(5,7)=74,(0,2)=84,(0,4)=84,(0,5)=84,(4,7)=96,(2,4)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=7, Add (6,7)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=4, Find(6)=5, Add (4,6)=18 Succeeded, w=22\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=34 Succeeded, w=56\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=37 Failed, w=56\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(6)=5, Add (0,6)=40 Succeeded, w=96\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=3, Find(5)=5, Add (3,5)=44 Succeeded, w=140\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=57 Failed, w=140\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=2, Find(7)=5, Add (2,7)=57 Succeeded, w=197\",\"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)=63 Failed, w=197\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=5, Add (5,7)=74 Failed, w=197\",\"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)=84 Failed, w=197\",\"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)=84 Failed, w=197\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=84 Failed, w=197\",\"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)=96 Failed, w=197\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(4)=5, Add (2,4)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,2,18],[0,3,18],[0,4,97],[1,2,86],[1,3,77],[1,4,24],[1,5,28],[1,6,25],[2,3,88],[2,4,84],[2,6,40],[3,4,26],[3,6,51],[4,5,54],[4,6,2],[5,6,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,18],[0,3,18],[0,4,97],[1,2,86],[1,3,77],[1,4,24],[1,5,28],[1,6,25],[2,3,88],[2,4,84],[2,6,40],[3,4,26],[3,6,51],[4,5,54],[4,6,2],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,18],[0,3,18],[0,4,97],[1,2,86],[1,3,77],[1,4,24],[1,5,28],[1,6,25],[2,3,88],[2,4,84],[2,6,40],[3,4,26],[3,6,51],[4,5,54],[4,6,2],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,18],[0,3,18],[0,4,97],[1,2,86],[1,3,77],[1,4,24],[1,5,28],[1,6,25],[2,3,88],[2,4,84],[2,6,40],[3,4,26],[3,6,51],[4,5,54],[4,6,2],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2, w=2\",\"Add (5,6)=15, w=17\",\"Add (0,2)=18, w=35\",\"Add (0,3)=18, w=53\",\"Add (1,4)=24, w=77\",\"Add (3,4)=26, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,18],[0,3,18],[0,4,97],[1,2,86],[1,3,77],[1,4,24],[1,5,28],[1,6,25],[2,3,88],[2,4,84],[2,6,40],[3,4,26],[3,6,51],[4,5,54],[4,6,2],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2 Succeeded, w=2\",\"Add (5,6)=15 Succeeded, w=17\",\"Add (0,2)=18 Succeeded, w=35\",\"Add (0,3)=18 Succeeded, w=53\",\"Add (1,4)=24 Succeeded, w=77\",\"Add (1,6)=25 Failed, w=77\",\"Add (3,4)=26 Succeeded, w=103\",\"Add (1,5)=28 Failed, w=103\",\"Add (2,6)=40 Failed, w=103\",\"Add (3,6)=51 Failed, w=103\",\"Add (4,5)=54 Failed, w=103\",\"Add (1,3)=77 Failed, w=103\",\"Add (2,4)=84 Failed, w=103\",\"Add (1,2)=86 Failed, w=103\",\"Add (2,3)=88 Failed, w=103\",\"Add (0,1)=95 Failed, w=103\",\"Add (0,4)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,18],[0,3,18],[0,4,97],[1,2,86],[1,3,77],[1,4,24],[1,5,28],[1,6,25],[2,3,88],[2,4,84],[2,6,40],[3,4,26],[3,6,51],[4,5,54],[4,6,2],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(5,6)=15,(0,2)=18,(0,3)=18,(1,4)=24,(1,6)=25,(3,4)=26,(1,5)=28,(2,6)=40,(3,6)=51,(4,5)=54,(1,3)=77,(2,4)=84,(1,2)=86,(2,3)=88,(0,1)=95,(0,4)=97]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=4, Add (5,6)=15 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=53\",\"Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=77\",\"Find(1)=4, Find(6)=4, Add (1,6)=25 Failed, w=77\",\"Find(3)=0, Find(4)=4, Add (3,4)=26 Succeeded, w=103\",\"Find(1)=0, Find(5)=0, Add (1,5)=28 Failed, w=103\",\"Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=103\",\"Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=103\",\"Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=103\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=103\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=103\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=103\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=103\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=103\",\"Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,18],[0,3,18],[0,4,97],[1,2,86],[1,3,77],[1,4,24],[1,5,28],[1,6,25],[2,3,88],[2,4,84],[2,6,40],[3,4,26],[3,6,51],[4,5,54],[4,6,2],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(5,6)=15,(0,2)=18,(0,3)=18,(1,4)=24,(1,6)=25,(3,4)=26,(1,5)=28,(2,6)=40,(3,6)=51,(4,5)=54,(1,3)=77,(2,4)=84,(1,2)=86,(2,3)=88,(0,1)=95,(0,4)=97]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=5, Find(6)=4, Add (5,6)=15 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=53\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=77\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=25 Failed, w=77\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 0, 4: 0, 5: 4, 6: 4}, Find(3)=0, Find(4)=4, Add (3,4)=26 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(5)=0, Add (1,5)=28 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=40 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,21],[0,3,33],[0,5,51],[0,6,50],[1,3,55],[1,4,86],[1,5,54],[1,6,18],[2,3,75],[2,4,72],[2,6,9],[3,4,3],[4,5,42],[4,6,50],[5,6,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,33],[0,5,51],[0,6,50],[1,3,55],[1,4,86],[1,5,54],[1,6,18],[2,3,75],[2,4,72],[2,6,9],[3,4,3],[4,5,42],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,33],[0,5,51],[0,6,50],[1,3,55],[1,4,86],[1,5,54],[1,6,18],[2,3,75],[2,4,72],[2,6,9],[3,4,3],[4,5,42],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,33],[0,5,51],[0,6,50],[1,3,55],[1,4,86],[1,5,54],[1,6,18],[2,3,75],[2,4,72],[2,6,9],[3,4,3],[4,5,42],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (2,6)=9, w=12\",\"Add (1,6)=18, w=30\",\"Add (0,2)=21, w=51\",\"Add (0,3)=33, w=84\",\"Add (4,5)=42, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,33],[0,5,51],[0,6,50],[1,3,55],[1,4,86],[1,5,54],[1,6,18],[2,3,75],[2,4,72],[2,6,9],[3,4,3],[4,5,42],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (2,6)=9 Succeeded, w=12\",\"Add (1,6)=18 Succeeded, w=30\",\"Add (0,2)=21 Succeeded, w=51\",\"Add (0,3)=33 Succeeded, w=84\",\"Add (4,5)=42 Succeeded, w=126\",\"Add (0,6)=50 Failed, w=126\",\"Add (4,6)=50 Failed, w=126\",\"Add (0,5)=51 Failed, w=126\",\"Add (1,5)=54 Failed, w=126\",\"Add (1,3)=55 Failed, w=126\",\"Add (2,4)=72 Failed, w=126\",\"Add (2,3)=75 Failed, w=126\",\"Add (1,4)=86 Failed, w=126\",\"Add (5,6)=96 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,33],[0,5,51],[0,6,50],[1,3,55],[1,4,86],[1,5,54],[1,6,18],[2,3,75],[2,4,72],[2,6,9],[3,4,3],[4,5,42],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,6)=9,(1,6)=18,(0,2)=21,(0,3)=33,(4,5)=42,(0,6)=50,(4,6)=50,(0,5)=51,(1,5)=54,(1,3)=55,(2,4)=72,(2,3)=75,(1,4)=86,(5,6)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=12\",\"Find(1)=1, Find(6)=2, Add (1,6)=18 Succeeded, w=30\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=51\",\"Find(0)=2, Find(3)=3, Add (0,3)=33 Succeeded, w=84\",\"Find(4)=2, Find(5)=5, Add (4,5)=42 Succeeded, w=126\",\"Find(0)=2, Find(6)=2, Add (0,6)=50 Failed, w=126\",\"Find(4)=2, Find(6)=2, Add (4,6)=50 Failed, w=126\",\"Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=126\",\"Find(1)=2, Find(5)=2, Add (1,5)=54 Failed, w=126\",\"Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=126\",\"Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=126\",\"Find(2)=2, Find(3)=2, Add (2,3)=75 Failed, w=126\",\"Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=126\",\"Find(5)=2, Find(6)=2, Add (5,6)=96 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,33],[0,5,51],[0,6,50],[1,3,55],[1,4,86],[1,5,54],[1,6,18],[2,3,75],[2,4,72],[2,6,9],[3,4,3],[4,5,42],[4,6,50],[5,6,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,6)=9,(1,6)=18,(0,2)=21,(0,3)=33,(4,5)=42,(0,6)=50,(4,6)=50,(0,5)=51,(1,5)=54,(1,3)=55,(2,4)=72,(2,3)=75,(1,4)=86,(5,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=18 Succeeded, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 5, 6: 2}, Find(0)=2, Find(3)=3, Add (0,3)=33 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=5, Add (4,5)=42 Succeeded, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=50 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=50 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=51 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=54 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=55 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=75 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=96 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,51],[0,2,65],[0,3,51],[0,4,83],[1,2,61],[1,3,49],[1,4,3],[2,3,75],[2,4,65],[3,4,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,65],[0,3,51],[0,4,83],[1,2,61],[1,3,49],[1,4,3],[2,3,75],[2,4,65],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,65],[0,3,51],[0,4,83],[1,2,61],[1,3,49],[1,4,3],[2,3,75],[2,4,65],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,65],[0,3,51],[0,4,83],[1,2,61],[1,3,49],[1,4,3],[2,3,75],[2,4,65],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (3,4)=25, w=28\",\"Add (0,1)=51, w=79\",\"Add (1,2)=61, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,65],[0,3,51],[0,4,83],[1,2,61],[1,3,49],[1,4,3],[2,3,75],[2,4,65],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (3,4)=25 Succeeded, w=28\",\"Add (1,3)=49 Failed, w=28\",\"Add (0,1)=51 Succeeded, w=79\",\"Add (0,3)=51 Failed, w=79\",\"Add (1,2)=61 Succeeded, w=140\",\"Add (0,2)=65 Failed, w=140\",\"Add (2,4)=65 Failed, w=140\",\"Add (2,3)=75 Failed, w=140\",\"Add (0,4)=83 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,65],[0,3,51],[0,4,83],[1,2,61],[1,3,49],[1,4,3],[2,3,75],[2,4,65],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(3,4)=25,(1,3)=49,(0,1)=51,(0,3)=51,(1,2)=61,(0,2)=65,(2,4)=65,(2,3)=75,(0,4)=83]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=28\",\"Find(1)=1, Find(3)=1, Add (1,3)=49 Failed, w=28\",\"Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=79\",\"Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=79\",\"Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=140\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=140\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=140\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=140\",\"Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,65],[0,3,51],[0,4,83],[1,2,61],[1,3,49],[1,4,3],[2,3,75],[2,4,65],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(3,4)=25,(1,3)=49,(0,1)=51,(0,3)=51,(1,2)=61,(0,2)=65,(2,4)=65,(2,3)=75,(0,4)=83]\",\"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: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=49 Failed, w=28\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=51 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=83 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,87],[0,2,2],[0,3,8],[1,2,51],[1,3,48],[2,3,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,2],[0,3,8],[1,2,51],[1,3,48],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,2],[0,3,8],[1,2,51],[1,3,48],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,2],[0,3,8],[1,2,51],[1,3,48],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (2,3)=5, w=7\",\"Add (1,3)=48, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,2],[0,3,8],[1,2,51],[1,3,48],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (2,3)=5 Succeeded, w=7\",\"Add (0,3)=8 Failed, w=7\",\"Add (1,3)=48 Succeeded, w=55\",\"Add (1,2)=51 Failed, w=55\",\"Add (0,1)=87 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,2],[0,3,8],[1,2,51],[1,3,48],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,3)=5,(0,3)=8,(1,3)=48,(1,2)=51,(0,1)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(2)=0, Find(3)=3, Add (2,3)=5 Succeeded, w=7\",\"Find(0)=0, Find(3)=0, Add (0,3)=8 Failed, w=7\",\"Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=55\",\"Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=55\",\"Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,2],[0,3,8],[1,2,51],[1,3,48],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,3)=5,(0,3)=8,(1,3)=48,(1,2)=51,(0,1)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=8 Failed, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=87 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,88],[0,2,27],[0,3,57],[0,4,79],[1,2,80],[1,4,92],[2,4,56],[3,4,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,27],[0,3,57],[0,4,79],[1,2,80],[1,4,92],[2,4,56],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,27],[0,3,57],[0,4,79],[1,2,80],[1,4,92],[2,4,56],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,27],[0,3,57],[0,4,79],[1,2,80],[1,4,92],[2,4,56],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27, w=27\",\"Add (3,4)=55, w=82\",\"Add (2,4)=56, w=138\",\"Add (1,2)=80, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,27],[0,3,57],[0,4,79],[1,2,80],[1,4,92],[2,4,56],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27 Succeeded, w=27\",\"Add (3,4)=55 Succeeded, w=82\",\"Add (2,4)=56 Succeeded, w=138\",\"Add (0,3)=57 Failed, w=138\",\"Add (0,4)=79 Failed, w=138\",\"Add (1,2)=80 Succeeded, w=218\",\"Add (0,1)=88 Failed, w=218\",\"Add (1,4)=92 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,27],[0,3,57],[0,4,79],[1,2,80],[1,4,92],[2,4,56],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(3,4)=55,(2,4)=56,(0,3)=57,(0,4)=79,(1,2)=80,(0,1)=88,(1,4)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Find(3)=3, Find(4)=4, Add (3,4)=55 Succeeded, w=82\",\"Find(2)=0, Find(4)=3, Add (2,4)=56 Succeeded, w=138\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=138\",\"Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=138\",\"Find(1)=1, Find(2)=0, Add (1,2)=80 Succeeded, w=218\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=218\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,88],[0,2,27],[0,3,57],[0,4,79],[1,2,80],[1,4,92],[2,4,56],[3,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(3,4)=55,(2,4)=56,(0,3)=57,(0,4)=79,(1,2)=80,(0,1)=88,(1,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=55 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=56 Succeeded, w=138\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=138\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=80 Succeeded, w=218\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=218\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,22],[0,3,69],[0,4,44],[1,3,6],[1,4,0],[2,4,52],[3,4,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,69],[0,4,44],[1,3,6],[1,4,0],[2,4,52],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,69],[0,4,44],[1,3,6],[1,4,0],[2,4,52],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,69],[0,4,44],[1,3,6],[1,4,0],[2,4,52],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (1,3)=6, w=6\",\"Add (0,2)=22, w=28\",\"Add (0,4)=44, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,69],[0,4,44],[1,3,6],[1,4,0],[2,4,52],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (1,3)=6 Succeeded, w=6\",\"Add (3,4)=17 Failed, w=6\",\"Add (0,2)=22 Succeeded, w=28\",\"Add (0,4)=44 Succeeded, w=72\",\"Add (2,4)=52 Failed, w=72\",\"Add (0,3)=69 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,69],[0,4,44],[1,3,6],[1,4,0],[2,4,52],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,3)=6,(3,4)=17,(0,2)=22,(0,4)=44,(2,4)=52,(0,3)=69]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(3)=1, Find(4)=1, Add (3,4)=17 Failed, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=28\",\"Find(0)=0, Find(4)=1, Add (0,4)=44 Succeeded, w=72\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=72\",\"Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,3,69],[0,4,44],[1,3,6],[1,4,0],[2,4,52],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,3)=6,(3,4)=17,(0,2)=22,(0,4)=44,(2,4)=52,(0,3)=69]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=17 Failed, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=44 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,51],[0,2,94],[0,3,74],[0,4,18],[0,5,18],[0,6,78],[0,7,73],[1,2,18],[1,3,59],[1,4,26],[1,5,9],[1,6,95],[1,7,69],[2,3,1],[2,4,29],[2,5,75],[2,6,54],[2,7,42],[3,4,32],[3,5,61],[3,6,70],[3,7,26],[4,5,42],[4,6,12],[4,7,75],[5,6,53],[5,7,25],[6,7,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,94],[0,3,74],[0,4,18],[0,5,18],[0,6,78],[0,7,73],[1,2,18],[1,3,59],[1,4,26],[1,5,9],[1,6,95],[1,7,69],[2,3,1],[2,4,29],[2,5,75],[2,6,54],[2,7,42],[3,4,32],[3,5,61],[3,6,70],[3,7,26],[4,5,42],[4,6,12],[4,7,75],[5,6,53],[5,7,25],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,94],[0,3,74],[0,4,18],[0,5,18],[0,6,78],[0,7,73],[1,2,18],[1,3,59],[1,4,26],[1,5,9],[1,6,95],[1,7,69],[2,3,1],[2,4,29],[2,5,75],[2,6,54],[2,7,42],[3,4,32],[3,5,61],[3,6,70],[3,7,26],[4,5,42],[4,6,12],[4,7,75],[5,6,53],[5,7,25],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (6,7)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (1,2)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,94],[0,3,74],[0,4,18],[0,5,18],[0,6,78],[0,7,73],[1,2,18],[1,3,59],[1,4,26],[1,5,9],[1,6,95],[1,7,69],[2,3,1],[2,4,29],[2,5,75],[2,6,54],[2,7,42],[3,4,32],[3,5,61],[3,6,70],[3,7,26],[4,5,42],[4,6,12],[4,7,75],[5,6,53],[5,7,25],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (1,5)=9, w=10\",\"Add (6,7)=11, w=21\",\"Add (4,6)=12, w=33\",\"Add (0,4)=18, w=51\",\"Add (0,5)=18, w=69\",\"Add (1,2)=18, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,94],[0,3,74],[0,4,18],[0,5,18],[0,6,78],[0,7,73],[1,2,18],[1,3,59],[1,4,26],[1,5,9],[1,6,95],[1,7,69],[2,3,1],[2,4,29],[2,5,75],[2,6,54],[2,7,42],[3,4,32],[3,5,61],[3,6,70],[3,7,26],[4,5,42],[4,6,12],[4,7,75],[5,6,53],[5,7,25],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (1,5)=9 Succeeded, w=10\",\"Add (6,7)=11 Succeeded, w=21\",\"Add (4,6)=12 Succeeded, w=33\",\"Add (0,4)=18 Succeeded, w=51\",\"Add (0,5)=18 Succeeded, w=69\",\"Add (1,2)=18 Succeeded, w=87\",\"Add (5,7)=25 Failed, w=87\",\"Add (1,4)=26 Failed, w=87\",\"Add (3,7)=26 Failed, w=87\",\"Add (2,4)=29 Failed, w=87\",\"Add (3,4)=32 Failed, w=87\",\"Add (2,7)=42 Failed, w=87\",\"Add (4,5)=42 Failed, w=87\",\"Add (0,1)=51 Failed, w=87\",\"Add (5,6)=53 Failed, w=87\",\"Add (2,6)=54 Failed, w=87\",\"Add (1,3)=59 Failed, w=87\",\"Add (3,5)=61 Failed, w=87\",\"Add (1,7)=69 Failed, w=87\",\"Add (3,6)=70 Failed, w=87\",\"Add (0,7)=73 Failed, w=87\",\"Add (0,3)=74 Failed, w=87\",\"Add (2,5)=75 Failed, w=87\",\"Add (4,7)=75 Failed, w=87\",\"Add (0,6)=78 Failed, w=87\",\"Add (0,2)=94 Failed, w=87\",\"Add (1,6)=95 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,94],[0,3,74],[0,4,18],[0,5,18],[0,6,78],[0,7,73],[1,2,18],[1,3,59],[1,4,26],[1,5,9],[1,6,95],[1,7,69],[2,3,1],[2,4,29],[2,5,75],[2,6,54],[2,7,42],[3,4,32],[3,5,61],[3,6,70],[3,7,26],[4,5,42],[4,6,12],[4,7,75],[5,6,53],[5,7,25],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,5)=9,(6,7)=11,(4,6)=12,(0,4)=18,(0,5)=18,(1,2)=18,(5,7)=25,(1,4)=26,(3,7)=26,(2,4)=29,(3,4)=32,(2,7)=42,(4,5)=42,(0,1)=51,(5,6)=53,(2,6)=54,(1,3)=59,(3,5)=61,(1,7)=69,(3,6)=70,(0,7)=73,(0,3)=74,(2,5)=75,(4,7)=75,(0,6)=78,(0,2)=94,(1,6)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=10\",\"Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=21\",\"Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=33\",\"Find(0)=0, Find(4)=6, Add (0,4)=18 Succeeded, w=51\",\"Find(0)=6, Find(5)=1, Add (0,5)=18 Succeeded, w=69\",\"Find(1)=6, Find(2)=2, Add (1,2)=18 Succeeded, w=87\",\"Find(5)=6, Find(7)=6, Add (5,7)=25 Failed, w=87\",\"Find(1)=6, Find(4)=6, Add (1,4)=26 Failed, w=87\",\"Find(3)=6, Find(7)=6, Add (3,7)=26 Failed, w=87\",\"Find(2)=6, Find(4)=6, Add (2,4)=29 Failed, w=87\",\"Find(3)=6, Find(4)=6, Add (3,4)=32 Failed, w=87\",\"Find(2)=6, Find(7)=6, Add (2,7)=42 Failed, w=87\",\"Find(4)=6, Find(5)=6, Add (4,5)=42 Failed, w=87\",\"Find(0)=6, Find(1)=6, Add (0,1)=51 Failed, w=87\",\"Find(5)=6, Find(6)=6, Add (5,6)=53 Failed, w=87\",\"Find(2)=6, Find(6)=6, Add (2,6)=54 Failed, w=87\",\"Find(1)=6, Find(3)=6, Add (1,3)=59 Failed, w=87\",\"Find(3)=6, Find(5)=6, Add (3,5)=61 Failed, w=87\",\"Find(1)=6, Find(7)=6, Add (1,7)=69 Failed, w=87\",\"Find(3)=6, Find(6)=6, Add (3,6)=70 Failed, w=87\",\"Find(0)=6, Find(7)=6, Add (0,7)=73 Failed, w=87\",\"Find(0)=6, Find(3)=6, Add (0,3)=74 Failed, w=87\",\"Find(2)=6, Find(5)=6, Add (2,5)=75 Failed, w=87\",\"Find(4)=6, Find(7)=6, Add (4,7)=75 Failed, w=87\",\"Find(0)=6, Find(6)=6, Add (0,6)=78 Failed, w=87\",\"Find(0)=6, Find(2)=6, Add (0,2)=94 Failed, w=87\",\"Find(1)=6, Find(6)=6, Add (1,6)=95 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,94],[0,3,74],[0,4,18],[0,5,18],[0,6,78],[0,7,73],[1,2,18],[1,3,59],[1,4,26],[1,5,9],[1,6,95],[1,7,69],[2,3,1],[2,4,29],[2,5,75],[2,6,54],[2,7,42],[3,4,32],[3,5,61],[3,6,70],[3,7,26],[4,5,42],[4,6,12],[4,7,75],[5,6,53],[5,7,25],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,5)=9,(6,7)=11,(4,6)=12,(0,4)=18,(0,5)=18,(1,2)=18,(5,7)=25,(1,4)=26,(3,7)=26,(2,4)=29,(3,4)=32,(2,7)=42,(4,5)=42,(0,1)=51,(5,6)=53,(2,6)=54,(1,3)=59,(3,5)=61,(1,7)=69,(3,6)=70,(0,7)=73,(0,3)=74,(2,5)=75,(4,7)=75,(0,6)=78,(0,2)=94,(1,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 6, 5: 1, 6: 6, 7: 6}, Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=33\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 2, 4: 6, 5: 1, 6: 6, 7: 6}, Find(0)=0, Find(4)=6, Add (0,4)=18 Succeeded, w=51\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 2, 4: 6, 5: 1, 6: 6, 7: 6}, Find(0)=6, Find(5)=1, Add (0,5)=18 Succeeded, w=69\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 2, 4: 6, 5: 1, 6: 6, 7: 6}, Find(1)=6, Find(2)=2, Add (1,2)=18 Succeeded, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 2, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(7)=6, Add (5,7)=25 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 2, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(4)=6, Add (1,4)=26 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(7)=6, Add (3,7)=26 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(4)=6, Add (2,4)=29 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(4)=6, Add (3,4)=32 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(7)=6, Add (2,7)=42 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(5)=6, Add (4,5)=42 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(1)=6, Add (0,1)=51 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(6)=6, Add (5,6)=53 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(6)=6, Add (2,6)=54 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(3)=6, Add (1,3)=59 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(5)=6, Add (3,5)=61 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(7)=6, Add (1,7)=69 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(6)=6, Add (3,6)=70 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(7)=6, Add (0,7)=73 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(3)=6, Add (0,3)=74 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(5)=6, Add (2,5)=75 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(7)=6, Add (4,7)=75 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(6)=6, Add (0,6)=78 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(2)=6, Add (0,2)=94 Failed, w=87\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(6)=6, Add (1,6)=95 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,66],[0,2,65],[0,3,14],[1,2,75],[1,3,16],[2,3,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,65],[0,3,14],[1,2,75],[1,3,16],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,65],[0,3,14],[1,2,75],[1,3,16],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,65],[0,3,14],[1,2,75],[1,3,16],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (0,3)=14, w=25\",\"Add (1,3)=16, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,65],[0,3,14],[1,2,75],[1,3,16],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (0,3)=14 Succeeded, w=25\",\"Add (1,3)=16 Succeeded, w=41\",\"Add (0,2)=65 Failed, w=41\",\"Add (0,1)=66 Failed, w=41\",\"Add (1,2)=75 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,65],[0,3,14],[1,2,75],[1,3,16],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,3)=14,(1,3)=16,(0,2)=65,(0,1)=66,(1,2)=75]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=2, Add (0,3)=14 Succeeded, w=25\",\"Find(1)=1, Find(3)=2, Add (1,3)=16 Succeeded, w=41\",\"Find(0)=2, Find(2)=2, Add (0,2)=65 Failed, w=41\",\"Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=41\",\"Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,65],[0,3,14],[1,2,75],[1,3,16],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,3)=14,(1,3)=16,(0,2)=65,(0,1)=66,(1,2)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=14 Succeeded, w=25\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=16 Succeeded, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=65 Failed, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=41\"],\"Answer\":41}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,2,35],[1,2,4],[1,3,0],[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,35],[1,2,4],[1,3,0],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,35],[1,2,4],[1,3,0],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,35],[1,2,4],[1,3,0],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,2)=4, w=4\",\"Add (0,1)=11, w=15\"],\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,35],[1,2,4],[1,3,0],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,2)=4 Succeeded, w=4\",\"Add (2,3)=10 Failed, w=4\",\"Add (0,1)=11 Succeeded, w=15\",\"Add (0,2)=35 Failed, w=15\"],\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,35],[1,2,4],[1,3,0],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=4,(2,3)=10,(0,1)=11,(0,2)=35]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(2)=1, Find(3)=1, Add (2,3)=10 Failed, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=15\",\"Find(0)=1, Find(2)=1, Add (0,2)=35 Failed, w=15\"],\"Answer\":15}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,35],[1,2,4],[1,3,0],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,2)=4,(2,3)=10,(0,1)=11,(0,2)=35]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=10 Failed, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=35 Failed, w=15\"],\"Answer\":15}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,19],[0,2,90],[0,3,60],[1,2,11],[1,3,97],[1,4,37],[2,3,24],[2,4,24],[3,4,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,90],[0,3,60],[1,2,11],[1,3,97],[1,4,37],[2,3,24],[2,4,24],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,90],[0,3,60],[1,2,11],[1,3,97],[1,4,37],[2,3,24],[2,4,24],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,90],[0,3,60],[1,2,11],[1,3,97],[1,4,37],[2,3,24],[2,4,24],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11, w=11\",\"Add (0,1)=19, w=30\",\"Add (2,3)=24, w=54\",\"Add (2,4)=24, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,90],[0,3,60],[1,2,11],[1,3,97],[1,4,37],[2,3,24],[2,4,24],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11 Succeeded, w=11\",\"Add (0,1)=19 Succeeded, w=30\",\"Add (2,3)=24 Succeeded, w=54\",\"Add (2,4)=24 Succeeded, w=78\",\"Add (1,4)=37 Failed, w=78\",\"Add (0,3)=60 Failed, w=78\",\"Add (3,4)=88 Failed, w=78\",\"Add (0,2)=90 Failed, w=78\",\"Add (1,3)=97 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,90],[0,3,60],[1,2,11],[1,3,97],[1,4,37],[2,3,24],[2,4,24],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,1)=19,(2,3)=24,(2,4)=24,(1,4)=37,(0,3)=60,(3,4)=88,(0,2)=90,(1,3)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=54\",\"Find(2)=1, Find(4)=4, Add (2,4)=24 Succeeded, w=78\",\"Find(1)=1, Find(4)=1, Add (1,4)=37 Failed, w=78\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=78\",\"Find(3)=1, Find(4)=1, Add (3,4)=88 Failed, w=78\",\"Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=78\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,90],[0,3,60],[1,2,11],[1,3,97],[1,4,37],[2,3,24],[2,4,24],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,1)=19,(2,3)=24,(2,4)=24,(1,4)=37,(0,3)=60,(3,4)=88,(0,2)=90,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=24 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=37 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=88 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,71],[0,2,51],[0,3,82],[0,4,38],[0,5,30],[0,6,15],[1,2,37],[1,3,52],[1,4,11],[1,5,33],[1,6,53],[2,3,67],[2,4,59],[2,6,92],[3,4,47],[3,6,96],[4,5,50],[4,6,37],[5,6,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,82],[0,4,38],[0,5,30],[0,6,15],[1,2,37],[1,3,52],[1,4,11],[1,5,33],[1,6,53],[2,3,67],[2,4,59],[2,6,92],[3,4,47],[3,6,96],[4,5,50],[4,6,37],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,82],[0,4,38],[0,5,30],[0,6,15],[1,2,37],[1,3,52],[1,4,11],[1,5,33],[1,6,53],[2,3,67],[2,4,59],[2,6,92],[3,4,47],[3,6,96],[4,5,50],[4,6,37],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,82],[0,4,38],[0,5,30],[0,6,15],[1,2,37],[1,3,52],[1,4,11],[1,5,33],[1,6,53],[2,3,67],[2,4,59],[2,6,92],[3,4,47],[3,6,96],[4,5,50],[4,6,37],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11, w=11\",\"Add (0,6)=15, w=26\",\"Add (0,5)=30, w=56\",\"Add (1,5)=33, w=89\",\"Add (1,2)=37, w=126\",\"Add (3,4)=47, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,82],[0,4,38],[0,5,30],[0,6,15],[1,2,37],[1,3,52],[1,4,11],[1,5,33],[1,6,53],[2,3,67],[2,4,59],[2,6,92],[3,4,47],[3,6,96],[4,5,50],[4,6,37],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11 Succeeded, w=11\",\"Add (0,6)=15 Succeeded, w=26\",\"Add (0,5)=30 Succeeded, w=56\",\"Add (1,5)=33 Succeeded, w=89\",\"Add (1,2)=37 Succeeded, w=126\",\"Add (4,6)=37 Failed, w=126\",\"Add (0,4)=38 Failed, w=126\",\"Add (3,4)=47 Succeeded, w=173\",\"Add (4,5)=50 Failed, w=173\",\"Add (0,2)=51 Failed, w=173\",\"Add (1,3)=52 Failed, w=173\",\"Add (1,6)=53 Failed, w=173\",\"Add (2,4)=59 Failed, w=173\",\"Add (2,3)=67 Failed, w=173\",\"Add (0,1)=71 Failed, w=173\",\"Add (0,3)=82 Failed, w=173\",\"Add (2,6)=92 Failed, w=173\",\"Add (3,6)=96 Failed, w=173\",\"Add (5,6)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,82],[0,4,38],[0,5,30],[0,6,15],[1,2,37],[1,3,52],[1,4,11],[1,5,33],[1,6,53],[2,3,67],[2,4,59],[2,6,92],[3,4,47],[3,6,96],[4,5,50],[4,6,37],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(0,6)=15,(0,5)=30,(1,5)=33,(1,2)=37,(4,6)=37,(0,4)=38,(3,4)=47,(4,5)=50,(0,2)=51,(1,3)=52,(1,6)=53,(2,4)=59,(2,3)=67,(0,1)=71,(0,3)=82,(2,6)=92,(3,6)=96,(5,6)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=26\",\"Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=56\",\"Find(1)=1, Find(5)=0, Add (1,5)=33 Succeeded, w=89\",\"Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=126\",\"Find(4)=1, Find(6)=1, Add (4,6)=37 Failed, w=126\",\"Find(0)=1, Find(4)=1, Add (0,4)=38 Failed, w=126\",\"Find(3)=3, Find(4)=1, Add (3,4)=47 Succeeded, w=173\",\"Find(4)=1, Find(5)=1, Add (4,5)=50 Failed, w=173\",\"Find(0)=1, Find(2)=1, Add (0,2)=51 Failed, w=173\",\"Find(1)=1, Find(3)=1, Add (1,3)=52 Failed, w=173\",\"Find(1)=1, Find(6)=1, Add (1,6)=53 Failed, w=173\",\"Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=173\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=173\",\"Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=173\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=173\",\"Find(2)=1, Find(6)=1, Add (2,6)=92 Failed, w=173\",\"Find(3)=1, Find(6)=1, Add (3,6)=96 Failed, w=173\",\"Find(5)=1, Find(6)=1, Add (5,6)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,71],[0,2,51],[0,3,82],[0,4,38],[0,5,30],[0,6,15],[1,2,37],[1,3,52],[1,4,11],[1,5,33],[1,6,53],[2,3,67],[2,4,59],[2,6,92],[3,4,47],[3,6,96],[4,5,50],[4,6,37],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(0,6)=15,(0,5)=30,(1,5)=33,(1,2)=37,(4,6)=37,(0,4)=38,(3,4)=47,(4,5)=50,(0,2)=51,(1,3)=52,(1,6)=53,(2,4)=59,(2,3)=67,(0,1)=71,(0,3)=82,(2,6)=92,(3,6)=96,(5,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 0}, Find(1)=1, Find(5)=0, Add (1,5)=33 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=37 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=38 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=3, Find(4)=1, Add (3,4)=47 Succeeded, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=50 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=51 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=52 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=53 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=71 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=92 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=96 Failed, w=173\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,97],[0,2,8],[0,3,7],[0,4,17],[0,5,31],[1,2,78],[1,3,27],[1,4,55],[1,5,43],[1,6,74],[2,3,74],[2,5,2],[3,6,22],[4,5,19],[4,6,14],[5,6,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,8],[0,3,7],[0,4,17],[0,5,31],[1,2,78],[1,3,27],[1,4,55],[1,5,43],[1,6,74],[2,3,74],[2,5,2],[3,6,22],[4,5,19],[4,6,14],[5,6,20]]}",
"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\":[[0,1,97],[0,2,8],[0,3,7],[0,4,17],[0,5,31],[1,2,78],[1,3,27],[1,4,55],[1,5,43],[1,6,74],[2,3,74],[2,5,2],[3,6,22],[4,5,19],[4,6,14],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,2,8],[0,3,7],[0,4,17],[0,5,31],[1,2,78],[1,3,27],[1,4,55],[1,5,43],[1,6,74],[2,3,74],[2,5,2],[3,6,22],[4,5,19],[4,6,14],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2, w=2\",\"Add (0,3)=7, w=9\",\"Add (0,2)=8, w=17\",\"Add (4,6)=14, w=31\",\"Add (0,4)=17, w=48\",\"Add (1,3)=27, 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\":[[0,1,97],[0,2,8],[0,3,7],[0,4,17],[0,5,31],[1,2,78],[1,3,27],[1,4,55],[1,5,43],[1,6,74],[2,3,74],[2,5,2],[3,6,22],[4,5,19],[4,6,14],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=2 Succeeded, w=2\",\"Add (0,3)=7 Succeeded, w=9\",\"Add (0,2)=8 Succeeded, w=17\",\"Add (4,6)=14 Succeeded, w=31\",\"Add (0,4)=17 Succeeded, w=48\",\"Add (4,5)=19 Failed, w=48\",\"Add (5,6)=20 Failed, w=48\",\"Add (3,6)=22 Failed, w=48\",\"Add (1,3)=27 Succeeded, w=75\",\"Add (0,5)=31 Failed, w=75\",\"Add (1,5)=43 Failed, w=75\",\"Add (1,4)=55 Failed, w=75\",\"Add (1,6)=74 Failed, w=75\",\"Add (2,3)=74 Failed, w=75\",\"Add (1,2)=78 Failed, w=75\",\"Add (0,1)=97 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\":[[0,1,97],[0,2,8],[0,3,7],[0,4,17],[0,5,31],[1,2,78],[1,3,27],[1,4,55],[1,5,43],[1,6,74],[2,3,74],[2,5,2],[3,6,22],[4,5,19],[4,6,14],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(0,3)=7,(0,2)=8,(4,6)=14,(0,4)=17,(4,5)=19,(5,6)=20,(3,6)=22,(1,3)=27,(0,5)=31,(1,5)=43,(1,4)=55,(1,6)=74,(2,3)=74,(1,2)=78,(0,1)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=17\",\"Find(4)=4, Find(6)=6, Add (4,6)=14 Succeeded, w=31\",\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=48\",\"Find(4)=0, Find(5)=0, Add (4,5)=19 Failed, w=48\",\"Find(5)=0, Find(6)=0, Add (5,6)=20 Failed, w=48\",\"Find(3)=0, Find(6)=0, Add (3,6)=22 Failed, w=48\",\"Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=75\",\"Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=75\",\"Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=75\",\"Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=75\",\"Find(1)=0, Find(6)=0, Add (1,6)=74 Failed, w=75\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=75\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=75\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 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\":[[0,1,97],[0,2,8],[0,3,7],[0,4,17],[0,5,31],[1,2,78],[1,3,27],[1,4,55],[1,5,43],[1,6,74],[2,3,74],[2,5,2],[3,6,22],[4,5,19],[4,6,14],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=2,(0,3)=7,(0,2)=8,(4,6)=14,(0,4)=17,(4,5)=19,(5,6)=20,(3,6)=22,(1,3)=27,(0,5)=31,(1,5)=43,(1,4)=55,(1,6)=74,(2,3)=74,(1,2)=78,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 2, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=14 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(4)=0, Find(5)=0, Add (4,5)=19 Failed, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=20 Failed, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=22 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=31 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=43 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=74 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=75\",\"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=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,2],[0,4,23],[0,5,51],[1,2,62],[1,3,88],[1,4,7],[1,5,68],[2,3,18],[2,4,73],[2,5,79],[3,4,33],[3,5,38],[4,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,4,23],[0,5,51],[1,2,62],[1,3,88],[1,4,7],[1,5,68],[2,3,18],[2,4,73],[2,5,79],[3,4,33],[3,5,38],[4,5,73]]}",
"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\":[[0,2,2],[0,4,23],[0,5,51],[1,2,62],[1,3,88],[1,4,7],[1,5,68],[2,3,18],[2,4,73],[2,5,79],[3,4,33],[3,5,38],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,4,23],[0,5,51],[1,2,62],[1,3,88],[1,4,7],[1,5,68],[2,3,18],[2,4,73],[2,5,79],[3,4,33],[3,5,38],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (1,4)=7, w=9\",\"Add (2,3)=18, w=27\",\"Add (0,4)=23, w=50\",\"Add (3,5)=38, 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\":[[0,2,2],[0,4,23],[0,5,51],[1,2,62],[1,3,88],[1,4,7],[1,5,68],[2,3,18],[2,4,73],[2,5,79],[3,4,33],[3,5,38],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,4)=7 Succeeded, w=9\",\"Add (2,3)=18 Succeeded, w=27\",\"Add (0,4)=23 Succeeded, w=50\",\"Add (3,4)=33 Failed, w=50\",\"Add (3,5)=38 Succeeded, w=88\",\"Add (0,5)=51 Failed, w=88\",\"Add (1,2)=62 Failed, w=88\",\"Add (1,5)=68 Failed, w=88\",\"Add (2,4)=73 Failed, w=88\",\"Add (4,5)=73 Failed, w=88\",\"Add (2,5)=79 Failed, w=88\",\"Add (1,3)=88 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\":[[0,2,2],[0,4,23],[0,5,51],[1,2,62],[1,3,88],[1,4,7],[1,5,68],[2,3,18],[2,4,73],[2,5,79],[3,4,33],[3,5,38],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,4)=7,(2,3)=18,(0,4)=23,(3,4)=33,(3,5)=38,(0,5)=51,(1,2)=62,(1,5)=68,(2,4)=73,(4,5)=73,(2,5)=79,(1,3)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=9\",\"Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=27\",\"Find(0)=0, Find(4)=1, Add (0,4)=23 Succeeded, w=50\",\"Find(3)=0, Find(4)=0, Add (3,4)=33 Failed, w=50\",\"Find(3)=0, Find(5)=5, Add (3,5)=38 Succeeded, w=88\",\"Find(0)=0, Find(5)=0, Add (0,5)=51 Failed, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=88\",\"Find(1)=0, Find(5)=0, Add (1,5)=68 Failed, w=88\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=88\",\"Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=88\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=88\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 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\":[[0,2,2],[0,4,23],[0,5,51],[1,2,62],[1,3,88],[1,4,7],[1,5,68],[2,3,18],[2,4,73],[2,5,79],[3,4,33],[3,5,38],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,4)=7,(2,3)=18,(0,4)=23,(3,4)=33,(3,5)=38,(0,5)=51,(1,2)=62,(1,5)=68,(2,4)=73,(4,5)=73,(2,5)=79,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5}, Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=23 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=0, Add (3,4)=33 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=38 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=51 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=68 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)=73 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=88\",\"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=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,83],[0,2,41],[0,3,13],[1,2,27],[1,3,48],[2,3,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,41],[0,3,13],[1,2,27],[1,3,48],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,41],[0,3,13],[1,2,27],[1,3,48],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,41],[0,3,13],[1,2,27],[1,3,48],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (1,2)=27, w=40\",\"Add (2,3)=39, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,41],[0,3,13],[1,2,27],[1,3,48],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (1,2)=27 Succeeded, w=40\",\"Add (2,3)=39 Succeeded, w=79\",\"Add (0,2)=41 Failed, w=79\",\"Add (1,3)=48 Failed, w=79\",\"Add (0,1)=83 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,41],[0,3,13],[1,2,27],[1,3,48],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(1,2)=27,(2,3)=39,(0,2)=41,(1,3)=48,(0,1)=83]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=40\",\"Find(2)=1, Find(3)=0, Add (2,3)=39 Succeeded, w=79\",\"Find(0)=1, Find(2)=1, Add (0,2)=41 Failed, w=79\",\"Find(1)=1, Find(3)=1, Add (1,3)=48 Failed, w=79\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,83],[0,2,41],[0,3,13],[1,2,27],[1,3,48],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(1,2)=27,(2,3)=39,(0,2)=41,(1,3)=48,(0,1)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=39 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=41 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=48 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,27],[0,3,70],[0,5,95],[0,7,26],[1,3,12],[1,6,12],[1,7,91],[2,5,72],[2,6,19],[3,4,27],[3,5,23],[3,6,48],[4,5,73],[4,6,7],[4,7,55],[5,6,40],[5,7,98],[6,7,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,70],[0,5,95],[0,7,26],[1,3,12],[1,6,12],[1,7,91],[2,5,72],[2,6,19],[3,4,27],[3,5,23],[3,6,48],[4,5,73],[4,6,7],[4,7,55],[5,6,40],[5,7,98],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,70],[0,5,95],[0,7,26],[1,3,12],[1,6,12],[1,7,91],[2,5,72],[2,6,19],[3,4,27],[3,5,23],[3,6,48],[4,5,73],[4,6,7],[4,7,55],[5,6,40],[5,7,98],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (0,7)\",\"Add (0,2)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,70],[0,5,95],[0,7,26],[1,3,12],[1,6,12],[1,7,91],[2,5,72],[2,6,19],[3,4,27],[3,5,23],[3,6,48],[4,5,73],[4,6,7],[4,7,55],[5,6,40],[5,7,98],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7, w=7\",\"Add (1,3)=12, w=19\",\"Add (1,6)=12, w=31\",\"Add (2,6)=19, w=50\",\"Add (3,5)=23, w=73\",\"Add (0,7)=26, w=99\",\"Add (0,2)=27, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,70],[0,5,95],[0,7,26],[1,3,12],[1,6,12],[1,7,91],[2,5,72],[2,6,19],[3,4,27],[3,5,23],[3,6,48],[4,5,73],[4,6,7],[4,7,55],[5,6,40],[5,7,98],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7 Succeeded, w=7\",\"Add (1,3)=12 Succeeded, w=19\",\"Add (1,6)=12 Succeeded, w=31\",\"Add (2,6)=19 Succeeded, w=50\",\"Add (3,5)=23 Succeeded, w=73\",\"Add (0,7)=26 Succeeded, w=99\",\"Add (0,2)=27 Succeeded, w=126\",\"Add (3,4)=27 Failed, w=126\",\"Add (5,6)=40 Failed, w=126\",\"Add (3,6)=48 Failed, w=126\",\"Add (4,7)=55 Failed, w=126\",\"Add (6,7)=63 Failed, w=126\",\"Add (0,3)=70 Failed, w=126\",\"Add (2,5)=72 Failed, w=126\",\"Add (4,5)=73 Failed, w=126\",\"Add (1,7)=91 Failed, w=126\",\"Add (0,5)=95 Failed, w=126\",\"Add (5,7)=98 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,70],[0,5,95],[0,7,26],[1,3,12],[1,6,12],[1,7,91],[2,5,72],[2,6,19],[3,4,27],[3,5,23],[3,6,48],[4,5,73],[4,6,7],[4,7,55],[5,6,40],[5,7,98],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(1,3)=12,(1,6)=12,(2,6)=19,(3,5)=23,(0,7)=26,(0,2)=27,(3,4)=27,(5,6)=40,(3,6)=48,(4,7)=55,(6,7)=63,(0,3)=70,(2,5)=72,(4,5)=73,(1,7)=91,(0,5)=95,(5,7)=98]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=19\",\"Find(1)=1, Find(6)=4, Add (1,6)=12 Succeeded, w=31\",\"Find(2)=2, Find(6)=1, Add (2,6)=19 Succeeded, w=50\",\"Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=73\",\"Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=99\",\"Find(0)=0, Find(2)=1, Add (0,2)=27 Succeeded, w=126\",\"Find(3)=1, Find(4)=1, Add (3,4)=27 Failed, w=126\",\"Find(5)=1, Find(6)=1, Add (5,6)=40 Failed, w=126\",\"Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=126\",\"Find(4)=1, Find(7)=1, Add (4,7)=55 Failed, w=126\",\"Find(6)=1, Find(7)=1, Add (6,7)=63 Failed, w=126\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=126\",\"Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=126\",\"Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=126\",\"Find(1)=1, Find(7)=1, Add (1,7)=91 Failed, w=126\",\"Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=126\",\"Find(5)=1, Find(7)=1, Add (5,7)=98 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,70],[0,5,95],[0,7,26],[1,3,12],[1,6,12],[1,7,91],[2,5,72],[2,6,19],[3,4,27],[3,5,23],[3,6,48],[4,5,73],[4,6,7],[4,7,55],[5,6,40],[5,7,98],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(1,3)=12,(1,6)=12,(2,6)=19,(3,5)=23,(0,7)=26,(0,2)=27,(3,4)=27,(5,6)=40,(3,6)=48,(4,7)=55,(6,7)=63,(0,3)=70,(2,5)=72,(4,5)=73,(1,7)=91,(0,5)=95,(5,7)=98]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(6)=4, Add (1,6)=12 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(6)=1, Add (2,6)=19 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=0, Find(2)=1, Add (0,2)=27 Succeeded, w=126\",\"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)=27 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(5)=1, Find(6)=1, Add (5,6)=40 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=126\",\"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)=55 Failed, w=126\",\"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)=63 Failed, w=126\",\"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)=70 Failed, w=126\",\"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)=72 Failed, w=126\",\"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)=73 Failed, w=126\",\"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)=91 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=95 Failed, w=126\",\"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=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,98],[0,3,63],[0,4,42],[0,5,74],[1,4,77],[1,6,52],[2,4,90],[2,5,34],[2,6,79],[3,4,6],[3,5,94],[4,6,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,63],[0,4,42],[0,5,74],[1,4,77],[1,6,52],[2,4,90],[2,5,34],[2,6,79],[3,4,6],[3,5,94],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"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],[0,3,63],[0,4,42],[0,5,74],[1,4,77],[1,6,52],[2,4,90],[2,5,34],[2,6,79],[3,4,6],[3,5,94],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (1,6)\",\"Add (0,5)\"],\"Answer\":211}",
"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],[0,3,63],[0,4,42],[0,5,74],[1,4,77],[1,6,52],[2,4,90],[2,5,34],[2,6,79],[3,4,6],[3,5,94],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3, w=3\",\"Add (3,4)=6, w=9\",\"Add (2,5)=34, w=43\",\"Add (0,4)=42, w=85\",\"Add (1,6)=52, w=137\",\"Add (0,5)=74, w=211\"],\"Answer\":211}",
"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],[0,3,63],[0,4,42],[0,5,74],[1,4,77],[1,6,52],[2,4,90],[2,5,34],[2,6,79],[3,4,6],[3,5,94],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3 Succeeded, w=3\",\"Add (3,4)=6 Succeeded, w=9\",\"Add (2,5)=34 Succeeded, w=43\",\"Add (0,4)=42 Succeeded, w=85\",\"Add (1,6)=52 Succeeded, w=137\",\"Add (0,3)=63 Failed, w=137\",\"Add (0,5)=74 Succeeded, w=211\",\"Add (1,4)=77 Failed, w=211\",\"Add (2,6)=79 Failed, w=211\",\"Add (2,4)=90 Failed, w=211\",\"Add (3,5)=94 Failed, w=211\",\"Add (0,2)=98 Failed, w=211\"],\"Answer\":211}",
"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],[0,3,63],[0,4,42],[0,5,74],[1,4,77],[1,6,52],[2,4,90],[2,5,34],[2,6,79],[3,4,6],[3,5,94],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(3,4)=6,(2,5)=34,(0,4)=42,(1,6)=52,(0,3)=63,(0,5)=74,(1,4)=77,(2,6)=79,(2,4)=90,(3,5)=94,(0,2)=98]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=9\",\"Find(2)=2, Find(5)=5, Add (2,5)=34 Succeeded, w=43\",\"Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=85\",\"Find(1)=1, Find(6)=4, Add (1,6)=52 Succeeded, w=137\",\"Find(0)=4, Find(3)=4, Add (0,3)=63 Failed, w=137\",\"Find(0)=4, Find(5)=2, Add (0,5)=74 Succeeded, w=211\",\"Find(1)=4, Find(4)=4, Add (1,4)=77 Failed, w=211\",\"Find(2)=4, Find(6)=4, Add (2,6)=79 Failed, w=211\",\"Find(2)=4, Find(4)=4, Add (2,4)=90 Failed, w=211\",\"Find(3)=4, Find(5)=4, Add (3,5)=94 Failed, w=211\",\"Find(0)=4, Find(2)=4, Add (0,2)=98 Failed, w=211\"],\"Answer\":211}",
"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],[0,3,63],[0,4,42],[0,5,74],[1,4,77],[1,6,52],[2,4,90],[2,5,34],[2,6,79],[3,4,6],[3,5,94],[4,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(3,4)=6,(2,5)=34,(0,4)=42,(1,6)=52,(0,3)=63,(0,5)=74,(1,4)=77,(2,6)=79,(2,4)=90,(3,5)=94,(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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 2, 6: 4}, Find(2)=2, Find(5)=5, Add (2,5)=34 Succeeded, w=43\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 2, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=42 Succeeded, w=85\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 2, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=52 Succeeded, w=137\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 2, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=63 Failed, w=137\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(0)=4, Find(5)=2, Add (0,5)=74 Succeeded, w=211\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=77 Failed, w=211\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=79 Failed, w=211\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=90 Failed, w=211\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=94 Failed, w=211\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,42],[0,2,69],[0,3,12],[0,4,79],[0,5,1],[0,6,92],[0,7,27],[1,2,15],[1,3,36],[1,4,34],[1,5,98],[1,6,66],[1,7,64],[2,3,48],[2,4,98],[2,5,72],[2,6,62],[2,7,37],[3,4,46],[3,5,15],[3,6,55],[3,7,28],[4,5,6],[4,6,84],[4,7,13],[5,6,23],[5,7,43],[6,7,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,69],[0,3,12],[0,4,79],[0,5,1],[0,6,92],[0,7,27],[1,2,15],[1,3,36],[1,4,34],[1,5,98],[1,6,66],[1,7,64],[2,3,48],[2,4,98],[2,5,72],[2,6,62],[2,7,37],[3,4,46],[3,5,15],[3,6,55],[3,7,28],[4,5,6],[4,6,84],[4,7,13],[5,6,23],[5,7,43],[6,7,4]]}",
"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\":[[0,1,42],[0,2,69],[0,3,12],[0,4,79],[0,5,1],[0,6,92],[0,7,27],[1,2,15],[1,3,36],[1,4,34],[1,5,98],[1,6,66],[1,7,64],[2,3,48],[2,4,98],[2,5,72],[2,6,62],[2,7,37],[3,4,46],[3,5,15],[3,6,55],[3,7,28],[4,5,6],[4,6,84],[4,7,13],[5,6,23],[5,7,43],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (6,7)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (1,4)\"],\"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\":[[0,1,42],[0,2,69],[0,3,12],[0,4,79],[0,5,1],[0,6,92],[0,7,27],[1,2,15],[1,3,36],[1,4,34],[1,5,98],[1,6,66],[1,7,64],[2,3,48],[2,4,98],[2,5,72],[2,6,62],[2,7,37],[3,4,46],[3,5,15],[3,6,55],[3,7,28],[4,5,6],[4,6,84],[4,7,13],[5,6,23],[5,7,43],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (6,7)=4, w=5\",\"Add (4,5)=6, w=11\",\"Add (0,3)=12, w=23\",\"Add (4,7)=13, w=36\",\"Add (1,2)=15, w=51\",\"Add (1,4)=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\":[[0,1,42],[0,2,69],[0,3,12],[0,4,79],[0,5,1],[0,6,92],[0,7,27],[1,2,15],[1,3,36],[1,4,34],[1,5,98],[1,6,66],[1,7,64],[2,3,48],[2,4,98],[2,5,72],[2,6,62],[2,7,37],[3,4,46],[3,5,15],[3,6,55],[3,7,28],[4,5,6],[4,6,84],[4,7,13],[5,6,23],[5,7,43],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (6,7)=4 Succeeded, w=5\",\"Add (4,5)=6 Succeeded, w=11\",\"Add (0,3)=12 Succeeded, w=23\",\"Add (4,7)=13 Succeeded, w=36\",\"Add (1,2)=15 Succeeded, w=51\",\"Add (3,5)=15 Failed, w=51\",\"Add (5,6)=23 Failed, w=51\",\"Add (0,7)=27 Failed, w=51\",\"Add (3,7)=28 Failed, w=51\",\"Add (1,4)=34 Succeeded, w=85\",\"Add (1,3)=36 Failed, w=85\",\"Add (2,7)=37 Failed, w=85\",\"Add (0,1)=42 Failed, w=85\",\"Add (5,7)=43 Failed, w=85\",\"Add (3,4)=46 Failed, w=85\",\"Add (2,3)=48 Failed, w=85\",\"Add (3,6)=55 Failed, w=85\",\"Add (2,6)=62 Failed, w=85\",\"Add (1,7)=64 Failed, w=85\",\"Add (1,6)=66 Failed, w=85\",\"Add (0,2)=69 Failed, w=85\",\"Add (2,5)=72 Failed, w=85\",\"Add (0,4)=79 Failed, w=85\",\"Add (4,6)=84 Failed, w=85\",\"Add (0,6)=92 Failed, w=85\",\"Add (1,5)=98 Failed, w=85\",\"Add (2,4)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,69],[0,3,12],[0,4,79],[0,5,1],[0,6,92],[0,7,27],[1,2,15],[1,3,36],[1,4,34],[1,5,98],[1,6,66],[1,7,64],[2,3,48],[2,4,98],[2,5,72],[2,6,62],[2,7,37],[3,4,46],[3,5,15],[3,6,55],[3,7,28],[4,5,6],[4,6,84],[4,7,13],[5,6,23],[5,7,43],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(6,7)=4,(4,5)=6,(0,3)=12,(4,7)=13,(1,2)=15,(3,5)=15,(5,6)=23,(0,7)=27,(3,7)=28,(1,4)=34,(1,3)=36,(2,7)=37,(0,1)=42,(5,7)=43,(3,4)=46,(2,3)=48,(3,6)=55,(2,6)=62,(1,7)=64,(1,6)=66,(0,2)=69,(2,5)=72,(0,4)=79,(4,6)=84,(0,6)=92,(1,5)=98,(2,4)=98]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=5\",\"Find(4)=4, Find(5)=0, Add (4,5)=6 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=23\",\"Find(4)=0, Find(7)=6, Add (4,7)=13 Succeeded, w=36\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=51\",\"Find(3)=0, Find(5)=0, Add (3,5)=15 Failed, w=51\",\"Find(5)=0, Find(6)=0, Add (5,6)=23 Failed, w=51\",\"Find(0)=0, Find(7)=0, Add (0,7)=27 Failed, w=51\",\"Find(3)=0, Find(7)=0, Add (3,7)=28 Failed, w=51\",\"Find(1)=1, Find(4)=0, Add (1,4)=34 Succeeded, w=85\",\"Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=85\",\"Find(2)=0, Find(7)=0, Add (2,7)=37 Failed, w=85\",\"Find(0)=0, Find(1)=0, Add (0,1)=42 Failed, w=85\",\"Find(5)=0, Find(7)=0, Add (5,7)=43 Failed, w=85\",\"Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=85\",\"Find(2)=0, Find(3)=0, Add (2,3)=48 Failed, w=85\",\"Find(3)=0, Find(6)=0, Add (3,6)=55 Failed, w=85\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=85\",\"Find(1)=0, Find(7)=0, Add (1,7)=64 Failed, w=85\",\"Find(1)=0, Find(6)=0, Add (1,6)=66 Failed, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=85\",\"Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=85\",\"Find(0)=0, Find(4)=0, Add (0,4)=79 Failed, w=85\",\"Find(4)=0, Find(6)=0, Add (4,6)=84 Failed, w=85\",\"Find(0)=0, Find(6)=0, Add (0,6)=92 Failed, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,69],[0,3,12],[0,4,79],[0,5,1],[0,6,92],[0,7,27],[1,2,15],[1,3,36],[1,4,34],[1,5,98],[1,6,66],[1,7,64],[2,3,48],[2,4,98],[2,5,72],[2,6,62],[2,7,37],[3,4,46],[3,5,15],[3,6,55],[3,7,28],[4,5,6],[4,6,84],[4,7,13],[5,6,23],[5,7,43],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(6,7)=4,(4,5)=6,(0,3)=12,(4,7)=13,(1,2)=15,(3,5)=15,(5,6)=23,(0,7)=27,(3,7)=28,(1,4)=34,(1,3)=36,(2,7)=37,(0,1)=42,(5,7)=43,(3,4)=46,(2,3)=48,(3,6)=55,(2,6)=62,(1,7)=64,(1,6)=66,(0,2)=69,(2,5)=72,(0,4)=79,(4,6)=84,(0,6)=92,(1,5)=98,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 6}, Find(4)=4, Find(5)=0, Add (4,5)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(4)=0, Find(7)=6, Add (4,7)=13 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(3)=0, Find(5)=0, Add (3,5)=15 Failed, w=51\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(5)=0, Find(6)=0, Add (5,6)=23 Failed, w=51\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=27 Failed, w=51\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=28 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(4)=0, Add (1,4)=34 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=36 Failed, w=85\",\"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)=37 Failed, w=85\",\"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)=42 Failed, w=85\",\"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)=43 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=85\",\"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)=48 Failed, w=85\",\"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)=55 Failed, w=85\",\"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)=62 Failed, w=85\",\"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)=64 Failed, w=85\",\"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=85\",\"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)=69 Failed, w=85\",\"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)=72 Failed, w=85\",\"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)=79 Failed, w=85\",\"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=85\",\"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)=92 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,99],[0,3,88],[0,5,58],[0,6,9],[0,7,39],[1,2,68],[1,3,1],[1,4,67],[1,5,6],[1,6,80],[1,7,30],[2,3,10],[2,4,0],[2,5,37],[2,6,68],[2,7,32],[3,4,10],[3,5,25],[3,6,91],[3,7,66],[4,6,62],[4,7,14],[5,6,91],[5,7,17],[6,7,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,3,88],[0,5,58],[0,6,9],[0,7,39],[1,2,68],[1,3,1],[1,4,67],[1,5,6],[1,6,80],[1,7,30],[2,3,10],[2,4,0],[2,5,37],[2,6,68],[2,7,32],[3,4,10],[3,5,25],[3,6,91],[3,7,66],[4,6,62],[4,7,14],[5,6,91],[5,7,17],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,3,88],[0,5,58],[0,6,9],[0,7,39],[1,2,68],[1,3,1],[1,4,67],[1,5,6],[1,6,80],[1,7,30],[2,3,10],[2,4,0],[2,5,37],[2,6,68],[2,7,32],[3,4,10],[3,5,25],[3,6,91],[3,7,66],[4,6,62],[4,7,14],[5,6,91],[5,7,17],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (0,6)\",\"Add (2,3)\",\"Add (6,7)\",\"Add (4,7)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,3,88],[0,5,58],[0,6,9],[0,7,39],[1,2,68],[1,3,1],[1,4,67],[1,5,6],[1,6,80],[1,7,30],[2,3,10],[2,4,0],[2,5,37],[2,6,68],[2,7,32],[3,4,10],[3,5,25],[3,6,91],[3,7,66],[4,6,62],[4,7,14],[5,6,91],[5,7,17],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (1,3)=1, w=1\",\"Add (1,5)=6, w=7\",\"Add (0,6)=9, w=16\",\"Add (2,3)=10, w=26\",\"Add (6,7)=13, w=39\",\"Add (4,7)=14, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,3,88],[0,5,58],[0,6,9],[0,7,39],[1,2,68],[1,3,1],[1,4,67],[1,5,6],[1,6,80],[1,7,30],[2,3,10],[2,4,0],[2,5,37],[2,6,68],[2,7,32],[3,4,10],[3,5,25],[3,6,91],[3,7,66],[4,6,62],[4,7,14],[5,6,91],[5,7,17],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,5)=6 Succeeded, w=7\",\"Add (0,6)=9 Succeeded, w=16\",\"Add (2,3)=10 Succeeded, w=26\",\"Add (3,4)=10 Failed, w=26\",\"Add (6,7)=13 Succeeded, w=39\",\"Add (4,7)=14 Succeeded, w=53\",\"Add (5,7)=17 Failed, w=53\",\"Add (3,5)=25 Failed, w=53\",\"Add (1,7)=30 Failed, w=53\",\"Add (2,7)=32 Failed, w=53\",\"Add (2,5)=37 Failed, w=53\",\"Add (0,7)=39 Failed, w=53\",\"Add (0,5)=58 Failed, w=53\",\"Add (4,6)=62 Failed, w=53\",\"Add (3,7)=66 Failed, w=53\",\"Add (1,4)=67 Failed, w=53\",\"Add (1,2)=68 Failed, w=53\",\"Add (2,6)=68 Failed, w=53\",\"Add (1,6)=80 Failed, w=53\",\"Add (0,3)=88 Failed, w=53\",\"Add (3,6)=91 Failed, w=53\",\"Add (5,6)=91 Failed, w=53\",\"Add (0,1)=99 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,3,88],[0,5,58],[0,6,9],[0,7,39],[1,2,68],[1,3,1],[1,4,67],[1,5,6],[1,6,80],[1,7,30],[2,3,10],[2,4,0],[2,5,37],[2,6,68],[2,7,32],[3,4,10],[3,5,25],[3,6,91],[3,7,66],[4,6,62],[4,7,14],[5,6,91],[5,7,17],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,3)=1,(1,5)=6,(0,6)=9,(2,3)=10,(3,4)=10,(6,7)=13,(4,7)=14,(5,7)=17,(3,5)=25,(1,7)=30,(2,7)=32,(2,5)=37,(0,7)=39,(0,5)=58,(4,6)=62,(3,7)=66,(1,4)=67,(1,2)=68,(2,6)=68,(1,6)=80,(0,3)=88,(3,6)=91,(5,6)=91,(0,1)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=16\",\"Find(2)=2, Find(3)=1, Add (2,3)=10 Succeeded, w=26\",\"Find(3)=2, Find(4)=2, Add (3,4)=10 Failed, w=26\",\"Find(6)=0, Find(7)=7, Add (6,7)=13 Succeeded, w=39\",\"Find(4)=2, Find(7)=0, Add (4,7)=14 Succeeded, w=53\",\"Find(5)=2, Find(7)=2, Add (5,7)=17 Failed, w=53\",\"Find(3)=2, Find(5)=2, Add (3,5)=25 Failed, w=53\",\"Find(1)=2, Find(7)=2, Add (1,7)=30 Failed, w=53\",\"Find(2)=2, Find(7)=2, Add (2,7)=32 Failed, w=53\",\"Find(2)=2, Find(5)=2, Add (2,5)=37 Failed, w=53\",\"Find(0)=2, Find(7)=2, Add (0,7)=39 Failed, w=53\",\"Find(0)=2, Find(5)=2, Add (0,5)=58 Failed, w=53\",\"Find(4)=2, Find(6)=2, Add (4,6)=62 Failed, w=53\",\"Find(3)=2, Find(7)=2, Add (3,7)=66 Failed, w=53\",\"Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=53\",\"Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=53\",\"Find(2)=2, Find(6)=2, Add (2,6)=68 Failed, w=53\",\"Find(1)=2, Find(6)=2, Add (1,6)=80 Failed, w=53\",\"Find(0)=2, Find(3)=2, Add (0,3)=88 Failed, w=53\",\"Find(3)=2, Find(6)=2, Add (3,6)=91 Failed, w=53\",\"Find(5)=2, Find(6)=2, Add (5,6)=91 Failed, w=53\",\"Find(0)=2, Find(1)=2, Add (0,1)=99 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,3,88],[0,5,58],[0,6,9],[0,7,39],[1,2,68],[1,3,1],[1,4,67],[1,5,6],[1,6,80],[1,7,30],[2,3,10],[2,4,0],[2,5,37],[2,6,68],[2,7,32],[3,4,10],[3,5,25],[3,6,91],[3,7,66],[4,6,62],[4,7,14],[5,6,91],[5,7,17],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,3)=1,(1,5)=6,(0,6)=9,(2,3)=10,(3,4)=10,(6,7)=13,(4,7)=14,(5,7)=17,(3,5)=25,(1,7)=30,(2,7)=32,(2,5)=37,(0,7)=39,(0,5)=58,(4,6)=62,(3,7)=66,(1,4)=67,(1,2)=68,(2,6)=68,(1,6)=80,(0,3)=88,(3,6)=91,(5,6)=91,(0,1)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 0, 7: 7}, Find(2)=2, Find(3)=1, Add (2,3)=10 Succeeded, w=26\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 0, 7: 7}, Find(3)=2, Find(4)=2, Add (3,4)=10 Failed, w=26\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=13 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 0, 7: 0}, Find(4)=2, Find(7)=0, Add (4,7)=14 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=17 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=25 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=30 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=32 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=37 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=39 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 0, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=58 Failed, w=53\",\"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)=62 Failed, w=53\",\"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)=66 Failed, w=53\",\"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)=67 Failed, w=53\",\"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)=68 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=68 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=80 Failed, w=53\",\"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)=88 Failed, w=53\",\"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)=91 Failed, w=53\",\"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)=91 Failed, w=53\",\"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)=99 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,74],[0,3,89],[0,4,31],[0,5,60],[1,4,28],[1,5,93],[2,3,14],[2,4,24],[2,5,18],[3,4,69],[3,5,52],[4,5,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,89],[0,4,31],[0,5,60],[1,4,28],[1,5,93],[2,3,14],[2,4,24],[2,5,18],[3,4,69],[3,5,52],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,89],[0,4,31],[0,5,60],[1,4,28],[1,5,93],[2,3,14],[2,4,24],[2,5,18],[3,4,69],[3,5,52],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,89],[0,4,31],[0,5,60],[1,4,28],[1,5,93],[2,3,14],[2,4,24],[2,5,18],[3,4,69],[3,5,52],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=14, w=14\",\"Add (2,5)=18, w=32\",\"Add (2,4)=24, w=56\",\"Add (1,4)=28, w=84\",\"Add (0,4)=31, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,89],[0,4,31],[0,5,60],[1,4,28],[1,5,93],[2,3,14],[2,4,24],[2,5,18],[3,4,69],[3,5,52],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=14 Succeeded, w=14\",\"Add (2,5)=18 Succeeded, w=32\",\"Add (2,4)=24 Succeeded, w=56\",\"Add (1,4)=28 Succeeded, w=84\",\"Add (0,4)=31 Succeeded, w=115\",\"Add (3,5)=52 Failed, w=115\",\"Add (0,5)=60 Failed, w=115\",\"Add (3,4)=69 Failed, w=115\",\"Add (0,1)=74 Failed, w=115\",\"Add (0,3)=89 Failed, w=115\",\"Add (1,5)=93 Failed, w=115\",\"Add (4,5)=93 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,89],[0,4,31],[0,5,60],[1,4,28],[1,5,93],[2,3,14],[2,4,24],[2,5,18],[3,4,69],[3,5,52],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=14,(2,5)=18,(2,4)=24,(1,4)=28,(0,4)=31,(3,5)=52,(0,5)=60,(3,4)=69,(0,1)=74,(0,3)=89,(1,5)=93,(4,5)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=32\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=56\",\"Find(1)=1, Find(4)=2, Add (1,4)=28 Succeeded, w=84\",\"Find(0)=0, Find(4)=2, Add (0,4)=31 Succeeded, w=115\",\"Find(3)=2, Find(5)=2, Add (3,5)=52 Failed, w=115\",\"Find(0)=2, Find(5)=2, Add (0,5)=60 Failed, w=115\",\"Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=115\",\"Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=115\",\"Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=115\",\"Find(1)=2, Find(5)=2, Add (1,5)=93 Failed, w=115\",\"Find(4)=2, Find(5)=2, Add (4,5)=93 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,3,89],[0,4,31],[0,5,60],[1,4,28],[1,5,93],[2,3,14],[2,4,24],[2,5,18],[3,4,69],[3,5,52],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=14,(2,5)=18,(2,4)=24,(1,4)=28,(0,4)=31,(3,5)=52,(0,5)=60,(3,4)=69,(0,1)=74,(0,3)=89,(1,5)=93,(4,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=56\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=28 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(4)=2, Add (0,4)=31 Succeeded, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=52 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=60 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=89 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=93 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=93 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,84],[0,2,25],[0,3,76],[1,2,66],[1,3,23],[2,3,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,25],[0,3,76],[1,2,66],[1,3,23],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,25],[0,3,76],[1,2,66],[1,3,23],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,25],[0,3,76],[1,2,66],[1,3,23],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=23, w=23\",\"Add (0,2)=25, w=48\",\"Add (1,2)=66, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,25],[0,3,76],[1,2,66],[1,3,23],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=23 Succeeded, w=23\",\"Add (0,2)=25 Succeeded, w=48\",\"Add (1,2)=66 Succeeded, w=114\",\"Add (0,3)=76 Failed, w=114\",\"Add (2,3)=79 Failed, w=114\",\"Add (0,1)=84 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,25],[0,3,76],[1,2,66],[1,3,23],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=23,(0,2)=25,(1,2)=66,(0,3)=76,(2,3)=79,(0,1)=84]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=48\",\"Find(1)=1, Find(2)=0, Add (1,2)=66 Succeeded, w=114\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=114\",\"Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=114\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,84],[0,2,25],[0,3,76],[1,2,66],[1,3,23],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=23,(0,2)=25,(1,2)=66,(0,3)=76,(2,3)=79,(0,1)=84]\",\"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)=25 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=66 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=79 Failed, w=114\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,48],[1,2,94],[2,3,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,48],[1,2,94],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,48],[1,2,94],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,48],[1,2,94],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=48, w=48\",\"Add (2,3)=77, w=125\",\"Add (1,2)=94, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,48],[1,2,94],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=48 Succeeded, w=48\",\"Add (2,3)=77 Succeeded, w=125\",\"Add (1,2)=94 Succeeded, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,48],[1,2,94],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=48,(2,3)=77,(1,2)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=48\",\"Find(2)=2, Find(3)=0, Add (2,3)=77 Succeeded, w=125\",\"Find(1)=1, Find(2)=0, Add (1,2)=94 Succeeded, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,48],[1,2,94],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=48,(2,3)=77,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=77 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=94 Succeeded, w=219\"],\"Answer\":219}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,51],[0,3,51],[0,6,14],[1,2,73],[1,5,66],[1,6,39],[2,3,76],[2,5,62],[3,5,26],[4,5,46],[4,6,97],[5,6,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,51],[0,3,51],[0,6,14],[1,2,73],[1,5,66],[1,6,39],[2,3,76],[2,5,62],[3,5,26],[4,5,46],[4,6,97],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,51],[0,3,51],[0,6,14],[1,2,73],[1,5,66],[1,6,39],[2,3,76],[2,5,62],[3,5,26],[4,5,46],[4,6,97],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,5)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,51],[0,3,51],[0,6,14],[1,2,73],[1,5,66],[1,6,39],[2,3,76],[2,5,62],[3,5,26],[4,5,46],[4,6,97],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=14, w=14\",\"Add (3,5)=26, w=40\",\"Add (5,6)=26, w=66\",\"Add (1,6)=39, w=105\",\"Add (4,5)=46, w=151\",\"Add (0,2)=51, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,51],[0,3,51],[0,6,14],[1,2,73],[1,5,66],[1,6,39],[2,3,76],[2,5,62],[3,5,26],[4,5,46],[4,6,97],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=14 Succeeded, w=14\",\"Add (3,5)=26 Succeeded, w=40\",\"Add (5,6)=26 Succeeded, w=66\",\"Add (1,6)=39 Succeeded, w=105\",\"Add (4,5)=46 Succeeded, w=151\",\"Add (0,2)=51 Succeeded, w=202\",\"Add (0,3)=51 Failed, w=202\",\"Add (2,5)=62 Failed, w=202\",\"Add (1,5)=66 Failed, w=202\",\"Add (1,2)=73 Failed, w=202\",\"Add (2,3)=76 Failed, w=202\",\"Add (4,6)=97 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,51],[0,3,51],[0,6,14],[1,2,73],[1,5,66],[1,6,39],[2,3,76],[2,5,62],[3,5,26],[4,5,46],[4,6,97],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=14,(3,5)=26,(5,6)=26,(1,6)=39,(4,5)=46,(0,2)=51,(0,3)=51,(2,5)=62,(1,5)=66,(1,2)=73,(2,3)=76,(4,6)=97]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=14\",\"Find(3)=3, Find(5)=5, Add (3,5)=26 Succeeded, w=40\",\"Find(5)=3, Find(6)=0, Add (5,6)=26 Succeeded, w=66\",\"Find(1)=1, Find(6)=3, Add (1,6)=39 Succeeded, w=105\",\"Find(4)=4, Find(5)=3, Add (4,5)=46 Succeeded, w=151\",\"Find(0)=3, Find(2)=2, Add (0,2)=51 Succeeded, w=202\",\"Find(0)=3, Find(3)=3, Add (0,3)=51 Failed, w=202\",\"Find(2)=3, Find(5)=3, Add (2,5)=62 Failed, w=202\",\"Find(1)=3, Find(5)=3, Add (1,5)=66 Failed, w=202\",\"Find(1)=3, Find(2)=3, Add (1,2)=73 Failed, w=202\",\"Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=202\",\"Find(4)=3, Find(6)=3, Add (4,6)=97 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,51],[0,3,51],[0,6,14],[1,2,73],[1,5,66],[1,6,39],[2,3,76],[2,5,62],[3,5,26],[4,5,46],[4,6,97],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=14,(3,5)=26,(5,6)=26,(1,6)=39,(4,5)=46,(0,2)=51,(0,3)=51,(2,5)=62,(1,5)=66,(1,2)=73,(2,3)=76,(4,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0}, Find(3)=3, Find(5)=5, Add (3,5)=26 Succeeded, w=40\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0}, Find(5)=3, Find(6)=0, Add (5,6)=26 Succeeded, w=66\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(1)=1, Find(6)=3, Add (1,6)=39 Succeeded, w=105\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=4, Find(5)=3, Add (4,5)=46 Succeeded, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=2, Add (0,2)=51 Succeeded, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=51 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=62 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=66 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=73 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=97 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,65],[0,3,98],[2,3,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,3,98],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,3,98],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,3,98],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=47, w=47\",\"Add (0,1)=65, w=112\",\"Add (0,3)=98, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,3,98],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=47 Succeeded, w=47\",\"Add (0,1)=65 Succeeded, w=112\",\"Add (0,3)=98 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,3,98],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=47,(0,1)=65,(0,3)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=47\",\"Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=112\",\"Find(0)=0, Find(3)=2, Add (0,3)=98 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,65],[0,3,98],[2,3,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=47,(0,1)=65,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=47 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=65 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=98 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,32],[0,2,83],[0,3,8],[0,4,94],[1,2,1],[1,3,22],[1,4,12],[2,3,51],[2,4,66],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,83],[0,3,8],[0,4,94],[1,2,1],[1,3,22],[1,4,12],[2,3,51],[2,4,66],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,83],[0,3,8],[0,4,94],[1,2,1],[1,3,22],[1,4,12],[2,3,51],[2,4,66],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,83],[0,3,8],[0,4,94],[1,2,1],[1,3,22],[1,4,12],[2,3,51],[2,4,66],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,3)=8, w=9\",\"Add (1,4)=12, w=21\",\"Add (1,3)=22, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,83],[0,3,8],[0,4,94],[1,2,1],[1,3,22],[1,4,12],[2,3,51],[2,4,66],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,3)=8 Succeeded, w=9\",\"Add (1,4)=12 Succeeded, w=21\",\"Add (1,3)=22 Succeeded, w=43\",\"Add (3,4)=27 Failed, w=43\",\"Add (0,1)=32 Failed, w=43\",\"Add (2,3)=51 Failed, w=43\",\"Add (2,4)=66 Failed, w=43\",\"Add (0,2)=83 Failed, w=43\",\"Add (0,4)=94 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,83],[0,3,8],[0,4,94],[1,2,1],[1,3,22],[1,4,12],[2,3,51],[2,4,66],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=8,(1,4)=12,(1,3)=22,(3,4)=27,(0,1)=32,(2,3)=51,(2,4)=66,(0,2)=83,(0,4)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=9\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=21\",\"Find(1)=1, Find(3)=0, Add (1,3)=22 Succeeded, w=43\",\"Find(3)=1, Find(4)=1, Add (3,4)=27 Failed, w=43\",\"Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=43\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=43\",\"Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=43\",\"Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=43\",\"Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,32],[0,2,83],[0,3,8],[0,4,94],[1,2,1],[1,3,22],[1,4,12],[2,3,51],[2,4,66],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,3)=8,(1,4)=12,(1,3)=22,(3,4)=27,(0,1)=32,(2,3)=51,(2,4)=66,(0,2)=83,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(3)=0, Add (1,3)=22 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=27 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=32 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,46],[0,2,45],[0,3,91],[1,2,71],[1,3,16],[2,3,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,45],[0,3,91],[1,2,71],[1,3,16],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,45],[0,3,91],[1,2,71],[1,3,16],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,45],[0,3,91],[1,2,71],[1,3,16],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16, w=16\",\"Add (0,2)=45, w=61\",\"Add (0,1)=46, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,45],[0,3,91],[1,2,71],[1,3,16],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16 Succeeded, w=16\",\"Add (0,2)=45 Succeeded, w=61\",\"Add (0,1)=46 Succeeded, w=107\",\"Add (1,2)=71 Failed, w=107\",\"Add (2,3)=85 Failed, w=107\",\"Add (0,3)=91 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,45],[0,3,91],[1,2,71],[1,3,16],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(0,2)=45,(0,1)=46,(1,2)=71,(2,3)=85,(0,3)=91]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=61\",\"Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=107\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=107\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=107\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,45],[0,3,91],[1,2,71],[1,3,16],[2,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(0,2)=45,(0,1)=46,(1,2)=71,(2,3)=85,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,73],[0,2,94],[0,4,58],[0,5,17],[1,2,82],[1,4,16],[1,5,71],[2,3,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,94],[0,4,58],[0,5,17],[1,2,82],[1,4,16],[1,5,71],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,94],[0,4,58],[0,5,17],[1,2,82],[1,4,16],[1,5,71],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,94],[0,4,58],[0,5,17],[1,2,82],[1,4,16],[1,5,71],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16, w=16\",\"Add (0,5)=17, w=33\",\"Add (0,4)=58, w=91\",\"Add (1,2)=82, w=173\",\"Add (2,3)=99, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,94],[0,4,58],[0,5,17],[1,2,82],[1,4,16],[1,5,71],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16 Succeeded, w=16\",\"Add (0,5)=17 Succeeded, w=33\",\"Add (0,4)=58 Succeeded, w=91\",\"Add (1,5)=71 Failed, w=91\",\"Add (0,1)=73 Failed, w=91\",\"Add (1,2)=82 Succeeded, w=173\",\"Add (0,2)=94 Failed, w=173\",\"Add (2,3)=99 Succeeded, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,94],[0,4,58],[0,5,17],[1,2,82],[1,4,16],[1,5,71],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(0,5)=17,(0,4)=58,(1,5)=71,(0,1)=73,(1,2)=82,(0,2)=94,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=33\",\"Find(0)=0, Find(4)=1, Add (0,4)=58 Succeeded, w=91\",\"Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=91\",\"Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=91\",\"Find(1)=0, Find(2)=2, Add (1,2)=82 Succeeded, w=173\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=173\",\"Find(2)=0, Find(3)=3, Add (2,3)=99 Succeeded, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[0,2,94],[0,4,58],[0,5,17],[1,2,82],[1,4,16],[1,5,71],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(0,5)=17,(0,4)=58,(1,5)=71,(0,1)=73,(1,2)=82,(0,2)=94,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(4)=1, Add (0,4)=58 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=73 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=82 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=99 Succeeded, w=272\"],\"Answer\":272}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,9],[0,3,56],[0,4,1],[1,2,90],[1,3,45],[1,4,87],[2,3,95],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,9],[0,3,56],[0,4,1],[1,2,90],[1,3,45],[1,4,87],[2,3,95],[3,4,11]]}",
"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\":[[0,2,9],[0,3,56],[0,4,1],[1,2,90],[1,3,45],[1,4,87],[2,3,95],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,9],[0,3,56],[0,4,1],[1,2,90],[1,3,45],[1,4,87],[2,3,95],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (0,2)=9, w=10\",\"Add (3,4)=11, w=21\",\"Add (1,3)=45, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,9],[0,3,56],[0,4,1],[1,2,90],[1,3,45],[1,4,87],[2,3,95],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (0,2)=9 Succeeded, w=10\",\"Add (3,4)=11 Succeeded, w=21\",\"Add (1,3)=45 Succeeded, w=66\",\"Add (0,3)=56 Failed, w=66\",\"Add (1,4)=87 Failed, w=66\",\"Add (1,2)=90 Failed, w=66\",\"Add (2,3)=95 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,9],[0,3,56],[0,4,1],[1,2,90],[1,3,45],[1,4,87],[2,3,95],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,2)=9,(3,4)=11,(1,3)=45,(0,3)=56,(1,4)=87,(1,2)=90,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=10\",\"Find(3)=3, Find(4)=0, Add (3,4)=11 Succeeded, w=21\",\"Find(1)=1, Find(3)=0, Add (1,3)=45 Succeeded, w=66\",\"Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=66\",\"Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=66\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=66\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,9],[0,3,56],[0,4,1],[1,2,90],[1,3,45],[1,4,87],[2,3,95],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(0,2)=9,(3,4)=11,(1,3)=45,(0,3)=56,(1,4)=87,(1,2)=90,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=45 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=87 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,4],[0,3,65],[0,4,23],[0,5,13],[0,6,43],[1,3,59],[1,4,37],[1,5,14],[1,6,18],[2,3,52],[2,4,44],[2,5,52],[3,4,96],[3,5,37],[3,6,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,3,65],[0,4,23],[0,5,13],[0,6,43],[1,3,59],[1,4,37],[1,5,14],[1,6,18],[2,3,52],[2,4,44],[2,5,52],[3,4,96],[3,5,37],[3,6,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,3,65],[0,4,23],[0,5,13],[0,6,43],[1,3,59],[1,4,37],[1,5,14],[1,6,18],[2,3,52],[2,4,44],[2,5,52],[3,4,96],[3,5,37],[3,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (1,6)\",\"Add (0,4)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,3,65],[0,4,23],[0,5,13],[0,6,43],[1,3,59],[1,4,37],[1,5,14],[1,6,18],[2,3,52],[2,4,44],[2,5,52],[3,4,96],[3,5,37],[3,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2, w=2\",\"Add (0,2)=4, w=6\",\"Add (0,5)=13, w=19\",\"Add (1,5)=14, w=33\",\"Add (1,6)=18, w=51\",\"Add (0,4)=23, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,3,65],[0,4,23],[0,5,13],[0,6,43],[1,3,59],[1,4,37],[1,5,14],[1,6,18],[2,3,52],[2,4,44],[2,5,52],[3,4,96],[3,5,37],[3,6,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=2 Succeeded, w=2\",\"Add (0,2)=4 Succeeded, w=6\",\"Add (0,5)=13 Succeeded, w=19\",\"Add (1,5)=14 Succeeded, w=33\",\"Add (1,6)=18 Succeeded, w=51\",\"Add (0,4)=23 Succeeded, w=74\",\"Add (1,4)=37 Failed, w=74\",\"Add (3,5)=37 Failed, w=74\",\"Add (0,6)=43 Failed, w=74\",\"Add (2,4)=44 Failed, w=74\",\"Add (2,3)=52 Failed, w=74\",\"Add (2,5)=52 Failed, w=74\",\"Add (1,3)=59 Failed, w=74\",\"Add (0,3)=65 Failed, w=74\",\"Add (3,4)=96 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,3,65],[0,4,23],[0,5,13],[0,6,43],[1,3,59],[1,4,37],[1,5,14],[1,6,18],[2,3,52],[2,4,44],[2,5,52],[3,4,96],[3,5,37],[3,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(0,2)=4,(0,5)=13,(1,5)=14,(1,6)=18,(0,4)=23,(1,4)=37,(3,5)=37,(0,6)=43,(2,4)=44,(2,3)=52,(2,5)=52,(1,3)=59,(0,3)=65,(3,4)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=19\",\"Find(1)=1, Find(5)=0, Add (1,5)=14 Succeeded, w=33\",\"Find(1)=0, Find(6)=3, Add (1,6)=18 Succeeded, w=51\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=74\",\"Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=74\",\"Find(3)=0, Find(5)=0, Add (3,5)=37 Failed, w=74\",\"Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=74\",\"Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=74\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,3,65],[0,4,23],[0,5,13],[0,6,43],[1,3,59],[1,4,37],[1,5,14],[1,6,18],[2,3,52],[2,4,44],[2,5,52],[3,4,96],[3,5,37],[3,6,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=2,(0,2)=4,(0,5)=13,(1,5)=14,(1,6)=18,(0,4)=23,(1,4)=37,(3,5)=37,(0,6)=43,(2,4)=44,(2,3)=52,(2,5)=52,(1,3)=59,(0,3)=65,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3}, Find(1)=1, Find(5)=0, Add (1,5)=14 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 3}, Find(1)=0, Find(6)=3, Add (1,6)=18 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(3)=0, Find(5)=0, Add (3,5)=37 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=44 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,52],[0,3,45],[1,4,57],[2,5,100],[3,4,40],[3,5,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,45],[1,4,57],[2,5,100],[3,4,40],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,45],[1,4,57],[2,5,100],[3,4,40],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,45],[1,4,57],[2,5,100],[3,4,40],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=40, w=40\",\"Add (3,5)=44, w=84\",\"Add (0,3)=45, w=129\",\"Add (0,2)=52, w=181\",\"Add (1,4)=57, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,45],[1,4,57],[2,5,100],[3,4,40],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=40 Succeeded, w=40\",\"Add (3,5)=44 Succeeded, w=84\",\"Add (0,3)=45 Succeeded, w=129\",\"Add (0,2)=52 Succeeded, w=181\",\"Add (1,4)=57 Succeeded, w=238\",\"Add (2,5)=100 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,45],[1,4,57],[2,5,100],[3,4,40],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=40,(3,5)=44,(0,3)=45,(0,2)=52,(1,4)=57,(2,5)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=40 Succeeded, w=40\",\"Find(3)=3, Find(5)=5, Add (3,5)=44 Succeeded, w=84\",\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=129\",\"Find(0)=3, Find(2)=2, Add (0,2)=52 Succeeded, w=181\",\"Find(1)=1, Find(4)=3, Add (1,4)=57 Succeeded, w=238\",\"Find(2)=3, Find(5)=3, Add (2,5)=100 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,52],[0,3,45],[1,4,57],[2,5,100],[3,4,40],[3,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=40,(3,5)=44,(0,3)=45,(0,2)=52,(1,4)=57,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=40 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=44 Succeeded, w=84\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=129\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=2, Add (0,2)=52 Succeeded, w=181\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(4)=3, Add (1,4)=57 Succeeded, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=100 Failed, w=238\"],\"Answer\":238}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,43],[1,2,4],[2,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[1,2,4],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[1,2,4],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[1,2,4],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (2,3)=37, w=41\",\"Add (0,1)=43, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[1,2,4],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (2,3)=37 Succeeded, w=41\",\"Add (0,1)=43 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[1,2,4],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(2,3)=37,(0,1)=43]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(2)=1, Find(3)=3, Add (2,3)=37 Succeeded, w=41\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[1,2,4],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(2,3)=37,(0,1)=43]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=37 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,48],[0,3,64],[1,2,93],[1,3,42],[2,3,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,64],[1,2,93],[1,3,42],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,64],[1,2,93],[1,3,42],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,64],[1,2,93],[1,3,42],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15, w=15\",\"Add (1,3)=42, w=57\",\"Add (0,1)=48, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,64],[1,2,93],[1,3,42],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15 Succeeded, w=15\",\"Add (1,3)=42 Succeeded, w=57\",\"Add (0,1)=48 Succeeded, w=105\",\"Add (0,3)=64 Failed, w=105\",\"Add (1,2)=93 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,64],[1,2,93],[1,3,42],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(1,3)=42,(0,1)=48,(0,3)=64,(1,2)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=2, Add (1,3)=42 Succeeded, w=57\",\"Find(0)=0, Find(1)=2, Add (0,1)=48 Succeeded, w=105\",\"Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=105\",\"Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,48],[0,3,64],[1,2,93],[1,3,42],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(1,3)=42,(0,1)=48,(0,3)=64,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=42 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=48 Succeeded, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=105\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,71],[0,5,4],[1,3,32],[1,4,39],[1,6,13],[1,7,98],[2,4,18],[2,6,34],[3,4,2],[3,5,6],[3,6,78],[3,7,42],[4,5,78],[4,7,16],[5,7,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,4],[1,3,32],[1,4,39],[1,6,13],[1,7,98],[2,4,18],[2,6,34],[3,4,2],[3,5,6],[3,6,78],[3,7,42],[4,5,78],[4,7,16],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,4],[1,3,32],[1,4,39],[1,6,13],[1,7,98],[2,4,18],[2,6,34],[3,4,2],[3,5,6],[3,6,78],[3,7,42],[4,5,78],[4,7,16],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (1,6)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,4],[1,3,32],[1,4,39],[1,6,13],[1,7,98],[2,4,18],[2,6,34],[3,4,2],[3,5,6],[3,6,78],[3,7,42],[4,5,78],[4,7,16],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=0, w=0\",\"Add (3,4)=2, w=2\",\"Add (0,5)=4, w=6\",\"Add (3,5)=6, w=12\",\"Add (1,6)=13, w=25\",\"Add (2,4)=18, w=43\",\"Add (1,3)=32, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,4],[1,3,32],[1,4,39],[1,6,13],[1,7,98],[2,4,18],[2,6,34],[3,4,2],[3,5,6],[3,6,78],[3,7,42],[4,5,78],[4,7,16],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=0 Succeeded, w=0\",\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,5)=4 Succeeded, w=6\",\"Add (3,5)=6 Succeeded, w=12\",\"Add (1,6)=13 Succeeded, w=25\",\"Add (4,7)=16 Failed, w=25\",\"Add (2,4)=18 Succeeded, w=43\",\"Add (1,3)=32 Succeeded, w=75\",\"Add (2,6)=34 Failed, w=75\",\"Add (1,4)=39 Failed, w=75\",\"Add (3,7)=42 Failed, w=75\",\"Add (0,3)=71 Failed, w=75\",\"Add (3,6)=78 Failed, w=75\",\"Add (4,5)=78 Failed, w=75\",\"Add (1,7)=98 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,4],[1,3,32],[1,4,39],[1,6,13],[1,7,98],[2,4,18],[2,6,34],[3,4,2],[3,5,6],[3,6,78],[3,7,42],[4,5,78],[4,7,16],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=0,(3,4)=2,(0,5)=4,(3,5)=6,(1,6)=13,(4,7)=16,(2,4)=18,(1,3)=32,(2,6)=34,(1,4)=39,(3,7)=42,(0,3)=71,(3,6)=78,(4,5)=78,(1,7)=98]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=12\",\"Find(1)=1, Find(6)=6, Add (1,6)=13 Succeeded, w=25\",\"Find(4)=3, Find(7)=3, Add (4,7)=16 Failed, w=25\",\"Find(2)=2, Find(4)=3, Add (2,4)=18 Succeeded, w=43\",\"Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=75\",\"Find(2)=3, Find(6)=3, Add (2,6)=34 Failed, w=75\",\"Find(1)=3, Find(4)=3, Add (1,4)=39 Failed, w=75\",\"Find(3)=3, Find(7)=3, Add (3,7)=42 Failed, w=75\",\"Find(0)=3, Find(3)=3, Add (0,3)=71 Failed, w=75\",\"Find(3)=3, Find(6)=3, Add (3,6)=78 Failed, w=75\",\"Find(4)=3, Find(5)=3, Add (4,5)=78 Failed, w=75\",\"Find(1)=3, Find(7)=3, Add (1,7)=98 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,4],[1,3,32],[1,4,39],[1,6,13],[1,7,98],[2,4,18],[2,6,34],[3,4,2],[3,5,6],[3,6,78],[3,7,42],[4,5,78],[4,7,16],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=0,(3,4)=2,(0,5)=4,(3,5)=6,(1,6)=13,(4,7)=16,(2,4)=18,(1,3)=32,(2,6)=34,(1,4)=39,(3,7)=42,(0,3)=71,(3,6)=78,(4,5)=78,(1,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 5}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=6\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 5}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=12\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1, 7: 5}, Find(1)=1, Find(6)=6, Add (1,6)=13 Succeeded, w=25\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=16 Failed, w=25\",\"Parent: {0: 5, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=2, Find(4)=3, Add (2,4)=18 Succeeded, w=43\",\"Parent: {0: 5, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=32 Succeeded, w=75\",\"Parent: {0: 5, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=34 Failed, w=75\",\"Parent: {0: 5, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=39 Failed, w=75\",\"Parent: {0: 5, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=42 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=71 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=78 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=78 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=98 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,57],[0,2,53],[0,3,89],[0,4,25],[0,6,1],[1,4,66],[1,5,73],[1,6,42],[2,4,38],[2,5,43],[3,6,34],[4,5,45],[4,6,98],[5,6,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,53],[0,3,89],[0,4,25],[0,6,1],[1,4,66],[1,5,73],[1,6,42],[2,4,38],[2,5,43],[3,6,34],[4,5,45],[4,6,98],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,53],[0,3,89],[0,4,25],[0,6,1],[1,4,66],[1,5,73],[1,6,42],[2,4,38],[2,5,43],[3,6,34],[4,5,45],[4,6,98],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (1,6)\",\"Add (2,5)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,53],[0,3,89],[0,4,25],[0,6,1],[1,4,66],[1,5,73],[1,6,42],[2,4,38],[2,5,43],[3,6,34],[4,5,45],[4,6,98],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (0,4)=25, w=26\",\"Add (3,6)=34, w=60\",\"Add (2,4)=38, w=98\",\"Add (1,6)=42, w=140\",\"Add (2,5)=43, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,53],[0,3,89],[0,4,25],[0,6,1],[1,4,66],[1,5,73],[1,6,42],[2,4,38],[2,5,43],[3,6,34],[4,5,45],[4,6,98],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (0,4)=25 Succeeded, w=26\",\"Add (3,6)=34 Succeeded, w=60\",\"Add (2,4)=38 Succeeded, w=98\",\"Add (1,6)=42 Succeeded, w=140\",\"Add (2,5)=43 Succeeded, w=183\",\"Add (4,5)=45 Failed, w=183\",\"Add (5,6)=51 Failed, w=183\",\"Add (0,2)=53 Failed, w=183\",\"Add (0,1)=57 Failed, w=183\",\"Add (1,4)=66 Failed, w=183\",\"Add (1,5)=73 Failed, w=183\",\"Add (0,3)=89 Failed, w=183\",\"Add (4,6)=98 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,53],[0,3,89],[0,4,25],[0,6,1],[1,4,66],[1,5,73],[1,6,42],[2,4,38],[2,5,43],[3,6,34],[4,5,45],[4,6,98],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(0,4)=25,(3,6)=34,(2,4)=38,(1,6)=42,(2,5)=43,(4,5)=45,(5,6)=51,(0,2)=53,(0,1)=57,(1,4)=66,(1,5)=73,(0,3)=89,(4,6)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=26\",\"Find(3)=3, Find(6)=0, Add (3,6)=34 Succeeded, w=60\",\"Find(2)=2, Find(4)=0, Add (2,4)=38 Succeeded, w=98\",\"Find(1)=1, Find(6)=0, Add (1,6)=42 Succeeded, w=140\",\"Find(2)=0, Find(5)=5, Add (2,5)=43 Succeeded, w=183\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=183\",\"Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=183\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=183\",\"Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=183\",\"Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=183\",\"Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=183\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=183\",\"Find(4)=0, Find(6)=0, Add (4,6)=98 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,57],[0,2,53],[0,3,89],[0,4,25],[0,6,1],[1,4,66],[1,5,73],[1,6,42],[2,4,38],[2,5,43],[3,6,34],[4,5,45],[4,6,98],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(0,4)=25,(3,6)=34,(2,4)=38,(1,6)=42,(2,5)=43,(4,5)=45,(5,6)=51,(0,2)=53,(0,1)=57,(1,4)=66,(1,5)=73,(0,3)=89,(4,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=34 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=38 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=42 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=43 Succeeded, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=66 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=73 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=98 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,76],[0,2,29],[0,3,59],[0,4,22],[0,5,82],[0,6,29],[1,2,14],[1,4,53],[1,6,34],[2,4,39],[2,5,37],[2,6,22],[3,4,87],[3,5,36],[3,6,46],[4,5,80],[4,6,26],[5,6,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,29],[0,3,59],[0,4,22],[0,5,82],[0,6,29],[1,2,14],[1,4,53],[1,6,34],[2,4,39],[2,5,37],[2,6,22],[3,4,87],[3,5,36],[3,6,46],[4,5,80],[4,6,26],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,29],[0,3,59],[0,4,22],[0,5,82],[0,6,29],[1,2,14],[1,4,53],[1,6,34],[2,4,39],[2,5,37],[2,6,22],[3,4,87],[3,5,36],[3,6,46],[4,5,80],[4,6,26],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (4,6)\",\"Add (3,5)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,29],[0,3,59],[0,4,22],[0,5,82],[0,6,29],[1,2,14],[1,4,53],[1,6,34],[2,4,39],[2,5,37],[2,6,22],[3,4,87],[3,5,36],[3,6,46],[4,5,80],[4,6,26],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=13, w=13\",\"Add (1,2)=14, w=27\",\"Add (0,4)=22, w=49\",\"Add (2,6)=22, w=71\",\"Add (4,6)=26, w=97\",\"Add (3,5)=36, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,29],[0,3,59],[0,4,22],[0,5,82],[0,6,29],[1,2,14],[1,4,53],[1,6,34],[2,4,39],[2,5,37],[2,6,22],[3,4,87],[3,5,36],[3,6,46],[4,5,80],[4,6,26],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=13 Succeeded, w=13\",\"Add (1,2)=14 Succeeded, w=27\",\"Add (0,4)=22 Succeeded, w=49\",\"Add (2,6)=22 Succeeded, w=71\",\"Add (4,6)=26 Succeeded, w=97\",\"Add (0,2)=29 Failed, w=97\",\"Add (0,6)=29 Failed, w=97\",\"Add (1,6)=34 Failed, w=97\",\"Add (3,5)=36 Succeeded, w=133\",\"Add (2,5)=37 Failed, w=133\",\"Add (2,4)=39 Failed, w=133\",\"Add (3,6)=46 Failed, w=133\",\"Add (1,4)=53 Failed, w=133\",\"Add (0,3)=59 Failed, w=133\",\"Add (0,1)=76 Failed, w=133\",\"Add (4,5)=80 Failed, w=133\",\"Add (0,5)=82 Failed, w=133\",\"Add (3,4)=87 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,29],[0,3,59],[0,4,22],[0,5,82],[0,6,29],[1,2,14],[1,4,53],[1,6,34],[2,4,39],[2,5,37],[2,6,22],[3,4,87],[3,5,36],[3,6,46],[4,5,80],[4,6,26],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=13,(1,2)=14,(0,4)=22,(2,6)=22,(4,6)=26,(0,2)=29,(0,6)=29,(1,6)=34,(3,5)=36,(2,5)=37,(2,4)=39,(3,6)=46,(1,4)=53,(0,3)=59,(0,1)=76,(4,5)=80,(0,5)=82,(3,4)=87]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=27\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=49\",\"Find(2)=1, Find(6)=5, Add (2,6)=22 Succeeded, w=71\",\"Find(4)=0, Find(6)=1, Add (4,6)=26 Succeeded, w=97\",\"Find(0)=1, Find(2)=1, Add (0,2)=29 Failed, w=97\",\"Find(0)=1, Find(6)=1, Add (0,6)=29 Failed, w=97\",\"Find(1)=1, Find(6)=1, Add (1,6)=34 Failed, w=97\",\"Find(3)=3, Find(5)=1, Add (3,5)=36 Succeeded, w=133\",\"Find(2)=1, Find(5)=1, Add (2,5)=37 Failed, w=133\",\"Find(2)=1, Find(4)=1, Add (2,4)=39 Failed, w=133\",\"Find(3)=1, Find(6)=1, Add (3,6)=46 Failed, w=133\",\"Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=133\",\"Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=133\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=133\",\"Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=133\",\"Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=133\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,29],[0,3,59],[0,4,22],[0,5,82],[0,6,29],[1,2,14],[1,4,53],[1,6,34],[2,4,39],[2,5,37],[2,6,22],[3,4,87],[3,5,36],[3,6,46],[4,5,80],[4,6,26],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=13,(1,2)=14,(0,4)=22,(2,6)=22,(4,6)=26,(0,2)=29,(0,6)=29,(1,6)=34,(3,5)=36,(2,5)=37,(2,4)=39,(3,6)=46,(1,4)=53,(0,3)=59,(0,1)=76,(4,5)=80,(0,5)=82,(3,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 5}, Find(2)=1, Find(6)=5, Add (2,6)=22 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1}, Find(4)=0, Find(6)=1, Add (4,6)=26 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=29 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=29 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=34 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(3)=3, Find(5)=1, Add (3,5)=36 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=37 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=39 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=46 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=59 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=82 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,6],[1,3,57],[2,3,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[1,3,57],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[1,3,57],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[1,3,57],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (2,3)=32, w=38\",\"Add (1,3)=57, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[1,3,57],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (2,3)=32 Succeeded, w=38\",\"Add (1,3)=57 Succeeded, w=95\",\"Add (0,1)=77 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[1,3,57],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(2,3)=32,(1,3)=57,(0,1)=77]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(2)=0, Find(3)=3, Add (2,3)=32 Succeeded, w=38\",\"Find(1)=1, Find(3)=0, Add (1,3)=57 Succeeded, w=95\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,6],[1,3,57],[2,3,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(2,3)=32,(1,3)=57,(0,1)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=32 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=57 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,48],[0,2,5],[0,3,69],[0,4,66],[0,5,68],[0,6,49],[0,7,86],[1,2,100],[1,3,84],[1,4,73],[1,5,45],[1,6,44],[1,7,50],[2,3,59],[2,4,97],[2,5,91],[2,6,36],[2,7,37],[3,4,60],[3,5,86],[3,6,34],[3,7,1],[4,5,69],[4,6,77],[4,7,32],[5,6,91],[5,7,10],[6,7,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,5],[0,3,69],[0,4,66],[0,5,68],[0,6,49],[0,7,86],[1,2,100],[1,3,84],[1,4,73],[1,5,45],[1,6,44],[1,7,50],[2,3,59],[2,4,97],[2,5,91],[2,6,36],[2,7,37],[3,4,60],[3,5,86],[3,6,34],[3,7,1],[4,5,69],[4,6,77],[4,7,32],[5,6,91],[5,7,10],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,5],[0,3,69],[0,4,66],[0,5,68],[0,6,49],[0,7,86],[1,2,100],[1,3,84],[1,4,73],[1,5,45],[1,6,44],[1,7,50],[2,3,59],[2,4,97],[2,5,91],[2,6,36],[2,7,37],[3,4,60],[3,5,86],[3,6,34],[3,7,1],[4,5,69],[4,6,77],[4,7,32],[5,6,91],[5,7,10],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,2)\",\"Add (5,7)\",\"Add (4,7)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (1,6)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,5],[0,3,69],[0,4,66],[0,5,68],[0,6,49],[0,7,86],[1,2,100],[1,3,84],[1,4,73],[1,5,45],[1,6,44],[1,7,50],[2,3,59],[2,4,97],[2,5,91],[2,6,36],[2,7,37],[3,4,60],[3,5,86],[3,6,34],[3,7,1],[4,5,69],[4,6,77],[4,7,32],[5,6,91],[5,7,10],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=1, w=1\",\"Add (0,2)=5, w=6\",\"Add (5,7)=10, w=16\",\"Add (4,7)=32, w=48\",\"Add (3,6)=34, w=82\",\"Add (2,6)=36, w=118\",\"Add (1,6)=44, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,5],[0,3,69],[0,4,66],[0,5,68],[0,6,49],[0,7,86],[1,2,100],[1,3,84],[1,4,73],[1,5,45],[1,6,44],[1,7,50],[2,3,59],[2,4,97],[2,5,91],[2,6,36],[2,7,37],[3,4,60],[3,5,86],[3,6,34],[3,7,1],[4,5,69],[4,6,77],[4,7,32],[5,6,91],[5,7,10],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=1 Succeeded, w=1\",\"Add (0,2)=5 Succeeded, w=6\",\"Add (5,7)=10 Succeeded, w=16\",\"Add (4,7)=32 Succeeded, w=48\",\"Add (3,6)=34 Succeeded, w=82\",\"Add (2,6)=36 Succeeded, w=118\",\"Add (2,7)=37 Failed, w=118\",\"Add (1,6)=44 Succeeded, w=162\",\"Add (1,5)=45 Failed, w=162\",\"Add (0,1)=48 Failed, w=162\",\"Add (0,6)=49 Failed, w=162\",\"Add (1,7)=50 Failed, w=162\",\"Add (2,3)=59 Failed, w=162\",\"Add (3,4)=60 Failed, w=162\",\"Add (0,4)=66 Failed, w=162\",\"Add (0,5)=68 Failed, w=162\",\"Add (0,3)=69 Failed, w=162\",\"Add (4,5)=69 Failed, w=162\",\"Add (1,4)=73 Failed, w=162\",\"Add (4,6)=77 Failed, w=162\",\"Add (1,3)=84 Failed, w=162\",\"Add (0,7)=86 Failed, w=162\",\"Add (3,5)=86 Failed, w=162\",\"Add (2,5)=91 Failed, w=162\",\"Add (5,6)=91 Failed, w=162\",\"Add (6,7)=95 Failed, w=162\",\"Add (2,4)=97 Failed, w=162\",\"Add (1,2)=100 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,5],[0,3,69],[0,4,66],[0,5,68],[0,6,49],[0,7,86],[1,2,100],[1,3,84],[1,4,73],[1,5,45],[1,6,44],[1,7,50],[2,3,59],[2,4,97],[2,5,91],[2,6,36],[2,7,37],[3,4,60],[3,5,86],[3,6,34],[3,7,1],[4,5,69],[4,6,77],[4,7,32],[5,6,91],[5,7,10],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=1,(0,2)=5,(5,7)=10,(4,7)=32,(3,6)=34,(2,6)=36,(2,7)=37,(1,6)=44,(1,5)=45,(0,1)=48,(0,6)=49,(1,7)=50,(2,3)=59,(3,4)=60,(0,4)=66,(0,5)=68,(0,3)=69,(4,5)=69,(1,4)=73,(4,6)=77,(1,3)=84,(0,7)=86,(3,5)=86,(2,5)=91,(5,6)=91,(6,7)=95,(2,4)=97,(1,2)=100]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=6\",\"Find(5)=5, Find(7)=3, Add (5,7)=10 Succeeded, w=16\",\"Find(4)=4, Find(7)=3, Add (4,7)=32 Succeeded, w=48\",\"Find(3)=3, Find(6)=6, Add (3,6)=34 Succeeded, w=82\",\"Find(2)=0, Find(6)=3, Add (2,6)=36 Succeeded, w=118\",\"Find(2)=0, Find(7)=0, Add (2,7)=37 Failed, w=118\",\"Find(1)=1, Find(6)=0, Add (1,6)=44 Succeeded, w=162\",\"Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=162\",\"Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=162\",\"Find(0)=0, Find(6)=0, Add (0,6)=49 Failed, w=162\",\"Find(1)=0, Find(7)=0, Add (1,7)=50 Failed, w=162\",\"Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=162\",\"Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=162\",\"Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=162\",\"Find(0)=0, Find(5)=0, Add (0,5)=68 Failed, w=162\",\"Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=162\",\"Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=162\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=162\",\"Find(4)=0, Find(6)=0, Add (4,6)=77 Failed, w=162\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=162\",\"Find(0)=0, Find(7)=0, Add (0,7)=86 Failed, w=162\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=162\",\"Find(2)=0, Find(5)=0, Add (2,5)=91 Failed, w=162\",\"Find(5)=0, Find(6)=0, Add (5,6)=91 Failed, w=162\",\"Find(6)=0, Find(7)=0, Add (6,7)=95 Failed, w=162\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=162\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,5],[0,3,69],[0,4,66],[0,5,68],[0,6,49],[0,7,86],[1,2,100],[1,3,84],[1,4,73],[1,5,45],[1,6,44],[1,7,50],[2,3,59],[2,4,97],[2,5,91],[2,6,36],[2,7,37],[3,4,60],[3,5,86],[3,6,34],[3,7,1],[4,5,69],[4,6,77],[4,7,32],[5,6,91],[5,7,10],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=1,(0,2)=5,(5,7)=10,(4,7)=32,(3,6)=34,(2,6)=36,(2,7)=37,(1,6)=44,(1,5)=45,(0,1)=48,(0,6)=49,(1,7)=50,(2,3)=59,(3,4)=60,(0,4)=66,(0,5)=68,(0,3)=69,(4,5)=69,(1,4)=73,(4,6)=77,(1,3)=84,(0,7)=86,(3,5)=86,(2,5)=91,(5,6)=91,(6,7)=95,(2,4)=97,(1,2)=100]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(5)=5, Find(7)=3, Add (5,7)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=32 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=6, Add (3,6)=34 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=0, Find(6)=3, Add (2,6)=36 Succeeded, w=118\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3, 6: 3, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=37 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0, 7: 0}, Find(1)=1, Find(6)=0, Add (1,6)=44 Succeeded, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=45 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=49 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=50 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=59 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=60 Failed, w=162\",\"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)=66 Failed, w=162\",\"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)=68 Failed, w=162\",\"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)=69 Failed, w=162\",\"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)=69 Failed, w=162\",\"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)=73 Failed, w=162\",\"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)=77 Failed, w=162\",\"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)=84 Failed, w=162\",\"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)=86 Failed, w=162\",\"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)=86 Failed, w=162\",\"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)=91 Failed, w=162\",\"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)=91 Failed, w=162\",\"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)=95 Failed, w=162\",\"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)=97 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,43],[0,2,87],[0,3,73],[1,2,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,87],[0,3,73],[1,2,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,87],[0,3,73],[1,2,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,87],[0,3,73],[1,2,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=43, w=43\",\"Add (0,3)=73, w=116\",\"Add (0,2)=87, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,87],[0,3,73],[1,2,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=43 Succeeded, w=43\",\"Add (0,3)=73 Succeeded, w=116\",\"Add (0,2)=87 Succeeded, w=203\",\"Add (1,2)=100 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,87],[0,3,73],[1,2,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=43,(0,3)=73,(0,2)=87,(1,2)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=43\",\"Find(0)=0, Find(3)=3, Add (0,3)=73 Succeeded, w=116\",\"Find(0)=0, Find(2)=2, Add (0,2)=87 Succeeded, w=203\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,87],[0,3,73],[1,2,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=43,(0,3)=73,(0,2)=87,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=73 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=87 Succeeded, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,98],[0,2,99],[0,3,67],[0,4,80],[1,2,78],[1,4,0],[2,4,33],[3,4,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,99],[0,3,67],[0,4,80],[1,2,78],[1,4,0],[2,4,33],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,99],[0,3,67],[0,4,80],[1,2,78],[1,4,0],[2,4,33],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,99],[0,3,67],[0,4,80],[1,2,78],[1,4,0],[2,4,33],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (2,4)=33, w=33\",\"Add (3,4)=35, w=68\",\"Add (0,3)=67, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,99],[0,3,67],[0,4,80],[1,2,78],[1,4,0],[2,4,33],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (2,4)=33 Succeeded, w=33\",\"Add (3,4)=35 Succeeded, w=68\",\"Add (0,3)=67 Succeeded, w=135\",\"Add (1,2)=78 Failed, w=135\",\"Add (0,4)=80 Failed, w=135\",\"Add (0,1)=98 Failed, w=135\",\"Add (0,2)=99 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,99],[0,3,67],[0,4,80],[1,2,78],[1,4,0],[2,4,33],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,4)=33,(3,4)=35,(0,3)=67,(1,2)=78,(0,4)=80,(0,1)=98,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=1, Add (2,4)=33 Succeeded, w=33\",\"Find(3)=3, Find(4)=1, Add (3,4)=35 Succeeded, w=68\",\"Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=135\",\"Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=135\",\"Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=135\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=135\",\"Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,98],[0,2,99],[0,3,67],[0,4,80],[1,2,78],[1,4,0],[2,4,33],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(2,4)=33,(3,4)=35,(0,3)=67,(1,2)=78,(0,4)=80,(0,1)=98,(0,2)=99]\",\"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: 1, 3: 3, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=35 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,2,65],[0,3,65],[0,4,70],[0,6,16],[1,2,25],[1,3,13],[1,5,78],[1,6,8],[2,3,32],[2,4,52],[2,5,18],[2,6,58],[3,4,98],[3,5,35],[4,5,98],[4,6,5],[5,6,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,65],[0,3,65],[0,4,70],[0,6,16],[1,2,25],[1,3,13],[1,5,78],[1,6,8],[2,3,32],[2,4,52],[2,5,18],[2,6,58],[3,4,98],[3,5,35],[4,5,98],[4,6,5],[5,6,34]]}",
"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\":[[0,1,27],[0,2,65],[0,3,65],[0,4,70],[0,6,16],[1,2,25],[1,3,13],[1,5,78],[1,6,8],[2,3,32],[2,4,52],[2,5,18],[2,6,58],[3,4,98],[3,5,35],[4,5,98],[4,6,5],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,6)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (1,2)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,65],[0,3,65],[0,4,70],[0,6,16],[1,2,25],[1,3,13],[1,5,78],[1,6,8],[2,3,32],[2,4,52],[2,5,18],[2,6,58],[3,4,98],[3,5,35],[4,5,98],[4,6,5],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=5, w=5\",\"Add (1,6)=8, w=13\",\"Add (1,3)=13, w=26\",\"Add (0,6)=16, w=42\",\"Add (2,5)=18, w=60\",\"Add (1,2)=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\":[[0,1,27],[0,2,65],[0,3,65],[0,4,70],[0,6,16],[1,2,25],[1,3,13],[1,5,78],[1,6,8],[2,3,32],[2,4,52],[2,5,18],[2,6,58],[3,4,98],[3,5,35],[4,5,98],[4,6,5],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=5 Succeeded, w=5\",\"Add (1,6)=8 Succeeded, w=13\",\"Add (1,3)=13 Succeeded, w=26\",\"Add (0,6)=16 Succeeded, w=42\",\"Add (2,5)=18 Succeeded, w=60\",\"Add (1,2)=25 Succeeded, w=85\",\"Add (0,1)=27 Failed, w=85\",\"Add (2,3)=32 Failed, w=85\",\"Add (5,6)=34 Failed, w=85\",\"Add (3,5)=35 Failed, w=85\",\"Add (2,4)=52 Failed, w=85\",\"Add (2,6)=58 Failed, w=85\",\"Add (0,2)=65 Failed, w=85\",\"Add (0,3)=65 Failed, w=85\",\"Add (0,4)=70 Failed, w=85\",\"Add (1,5)=78 Failed, w=85\",\"Add (3,4)=98 Failed, w=85\",\"Add (4,5)=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\":[[0,1,27],[0,2,65],[0,3,65],[0,4,70],[0,6,16],[1,2,25],[1,3,13],[1,5,78],[1,6,8],[2,3,32],[2,4,52],[2,5,18],[2,6,58],[3,4,98],[3,5,35],[4,5,98],[4,6,5],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=5,(1,6)=8,(1,3)=13,(0,6)=16,(2,5)=18,(1,2)=25,(0,1)=27,(2,3)=32,(5,6)=34,(3,5)=35,(2,4)=52,(2,6)=58,(0,2)=65,(0,3)=65,(0,4)=70,(1,5)=78,(3,4)=98,(4,5)=98]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=5 Succeeded, w=5\",\"Find(1)=1, Find(6)=4, Add (1,6)=8 Succeeded, w=13\",\"Find(1)=4, Find(3)=3, Add (1,3)=13 Succeeded, w=26\",\"Find(0)=0, Find(6)=4, Add (0,6)=16 Succeeded, w=42\",\"Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=60\",\"Find(1)=4, Find(2)=2, Add (1,2)=25 Succeeded, w=85\",\"Find(0)=4, Find(1)=4, Add (0,1)=27 Failed, w=85\",\"Find(2)=4, Find(3)=4, Add (2,3)=32 Failed, w=85\",\"Find(5)=4, Find(6)=4, Add (5,6)=34 Failed, w=85\",\"Find(3)=4, Find(5)=4, Add (3,5)=35 Failed, w=85\",\"Find(2)=4, Find(4)=4, Add (2,4)=52 Failed, w=85\",\"Find(2)=4, Find(6)=4, Add (2,6)=58 Failed, w=85\",\"Find(0)=4, Find(2)=4, Add (0,2)=65 Failed, w=85\",\"Find(0)=4, Find(3)=4, Add (0,3)=65 Failed, w=85\",\"Find(0)=4, Find(4)=4, Add (0,4)=70 Failed, w=85\",\"Find(1)=4, Find(5)=4, Add (1,5)=78 Failed, w=85\",\"Find(3)=4, Find(4)=4, Add (3,4)=98 Failed, w=85\",\"Find(4)=4, Find(5)=4, Add (4,5)=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\":[[0,1,27],[0,2,65],[0,3,65],[0,4,70],[0,6,16],[1,2,25],[1,3,13],[1,5,78],[1,6,8],[2,3,32],[2,4,52],[2,5,18],[2,6,58],[3,4,98],[3,5,35],[4,5,98],[4,6,5],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=5,(1,6)=8,(1,3)=13,(0,6)=16,(2,5)=18,(1,2)=25,(0,1)=27,(2,3)=32,(5,6)=34,(3,5)=35,(2,4)=52,(2,6)=58,(0,2)=65,(0,3)=65,(0,4)=70,(1,5)=78,(3,4)=98,(4,5)=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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4}, Find(1)=4, Find(3)=3, Add (1,3)=13 Succeeded, w=26\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=16 Succeeded, w=42\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 2, 6: 4}, Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=60\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(1)=4, Find(2)=2, Add (1,2)=25 Succeeded, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=27 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 2, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=32 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=34 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=35 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=52 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=58 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=65 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=65 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=70 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=78 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=98 Failed, w=85\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=4, Add (4,5)=98 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,80],[0,2,51],[0,3,49],[1,2,59],[2,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,51],[0,3,49],[1,2,59],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,51],[0,3,49],[1,2,59],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,51],[0,3,49],[1,2,59],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=49, w=49\",\"Add (0,2)=51, w=100\",\"Add (1,2)=59, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,51],[0,3,49],[1,2,59],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=49 Succeeded, w=49\",\"Add (0,2)=51 Succeeded, w=100\",\"Add (2,3)=51 Failed, w=100\",\"Add (1,2)=59 Succeeded, w=159\",\"Add (0,1)=80 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,51],[0,3,49],[1,2,59],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=49,(0,2)=51,(2,3)=51,(1,2)=59,(0,1)=80]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=49\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=100\",\"Find(1)=1, Find(2)=0, Add (1,2)=59 Succeeded, w=159\",\"Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[0,2,51],[0,3,49],[1,2,59],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=49,(0,2)=51,(2,3)=51,(1,2)=59,(0,1)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=100\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=59 Succeeded, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=80 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,2,25],[0,3,19],[0,4,25],[0,5,42],[1,2,84],[1,3,59],[1,4,72],[1,5,34],[2,3,35],[2,4,15],[3,5,8],[4,5,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,25],[0,3,19],[0,4,25],[0,5,42],[1,2,84],[1,3,59],[1,4,72],[1,5,34],[2,3,35],[2,4,15],[3,5,8],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,25],[0,3,19],[0,4,25],[0,5,42],[1,2,84],[1,3,59],[1,4,72],[1,5,34],[2,3,35],[2,4,15],[3,5,8],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,25],[0,3,19],[0,4,25],[0,5,42],[1,2,84],[1,3,59],[1,4,72],[1,5,34],[2,3,35],[2,4,15],[3,5,8],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (3,5)=8, w=9\",\"Add (2,4)=15, w=24\",\"Add (0,3)=19, w=43\",\"Add (1,5)=34, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,25],[0,3,19],[0,4,25],[0,5,42],[1,2,84],[1,3,59],[1,4,72],[1,5,34],[2,3,35],[2,4,15],[3,5,8],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (3,5)=8 Succeeded, w=9\",\"Add (2,4)=15 Succeeded, w=24\",\"Add (0,3)=19 Succeeded, w=43\",\"Add (0,2)=25 Failed, w=43\",\"Add (0,4)=25 Failed, w=43\",\"Add (1,5)=34 Succeeded, w=77\",\"Add (2,3)=35 Failed, w=77\",\"Add (0,1)=38 Failed, w=77\",\"Add (0,5)=42 Failed, w=77\",\"Add (1,3)=59 Failed, w=77\",\"Add (1,4)=72 Failed, w=77\",\"Add (1,2)=84 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,25],[0,3,19],[0,4,25],[0,5,42],[1,2,84],[1,3,59],[1,4,72],[1,5,34],[2,3,35],[2,4,15],[3,5,8],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(3,5)=8,(2,4)=15,(0,3)=19,(0,2)=25,(0,4)=25,(1,5)=34,(2,3)=35,(0,1)=38,(0,5)=42,(1,3)=59,(1,4)=72,(1,2)=84]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=4, Add (3,5)=8 Succeeded, w=9\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=24\",\"Find(0)=0, Find(3)=4, Add (0,3)=19 Succeeded, w=43\",\"Find(0)=4, Find(2)=4, Add (0,2)=25 Failed, w=43\",\"Find(0)=4, Find(4)=4, Add (0,4)=25 Failed, w=43\",\"Find(1)=1, Find(5)=4, Add (1,5)=34 Succeeded, w=77\",\"Find(2)=4, Find(3)=4, Add (2,3)=35 Failed, w=77\",\"Find(0)=4, Find(1)=4, Add (0,1)=38 Failed, w=77\",\"Find(0)=4, Find(5)=4, Add (0,5)=42 Failed, w=77\",\"Find(1)=4, Find(3)=4, Add (1,3)=59 Failed, w=77\",\"Find(1)=4, Find(4)=4, Add (1,4)=72 Failed, w=77\",\"Find(1)=4, Find(2)=4, Add (1,2)=84 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,2,25],[0,3,19],[0,4,25],[0,5,42],[1,2,84],[1,3,59],[1,4,72],[1,5,34],[2,3,35],[2,4,15],[3,5,8],[4,5,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(3,5)=8,(2,4)=15,(0,3)=19,(0,2)=25,(0,4)=25,(1,5)=34,(2,3)=35,(0,1)=38,(0,5)=42,(1,3)=59,(1,4)=72,(1,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=24\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(3)=4, Add (0,3)=19 Succeeded, w=43\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=25 Failed, w=43\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(4)=4, Add (0,4)=25 Failed, w=43\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=34 Succeeded, w=77\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(3)=4, Add (2,3)=35 Failed, w=77\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=38 Failed, w=77\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(5)=4, Add (0,5)=42 Failed, w=77\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=59 Failed, w=77\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(4)=4, Add (1,4)=72 Failed, w=77\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=4, Add (1,2)=84 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,14],[0,2,52],[0,4,16],[1,3,75],[1,4,47],[1,5,50],[2,3,19],[2,5,75],[3,4,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,52],[0,4,16],[1,3,75],[1,4,47],[1,5,50],[2,3,19],[2,5,75],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,52],[0,4,16],[1,3,75],[1,4,47],[1,5,50],[2,3,19],[2,5,75],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,52],[0,4,16],[1,3,75],[1,4,47],[1,5,50],[2,3,19],[2,5,75],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14, w=14\",\"Add (0,4)=16, w=30\",\"Add (2,3)=19, w=49\",\"Add (3,4)=31, w=80\",\"Add (1,5)=50, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,52],[0,4,16],[1,3,75],[1,4,47],[1,5,50],[2,3,19],[2,5,75],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=14 Succeeded, w=14\",\"Add (0,4)=16 Succeeded, w=30\",\"Add (2,3)=19 Succeeded, w=49\",\"Add (3,4)=31 Succeeded, w=80\",\"Add (1,4)=47 Failed, w=80\",\"Add (1,5)=50 Succeeded, w=130\",\"Add (0,2)=52 Failed, w=130\",\"Add (1,3)=75 Failed, w=130\",\"Add (2,5)=75 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,52],[0,4,16],[1,3,75],[1,4,47],[1,5,50],[2,3,19],[2,5,75],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,4)=16,(2,3)=19,(3,4)=31,(1,4)=47,(1,5)=50,(0,2)=52,(1,3)=75,(2,5)=75]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=30\",\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=49\",\"Find(3)=2, Find(4)=0, Add (3,4)=31 Succeeded, w=80\",\"Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=80\",\"Find(1)=2, Find(5)=5, Add (1,5)=50 Succeeded, w=130\",\"Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=130\",\"Find(1)=2, Find(3)=2, Add (1,3)=75 Failed, w=130\",\"Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,14],[0,2,52],[0,4,16],[1,3,75],[1,4,47],[1,5,50],[2,3,19],[2,5,75],[3,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=14,(0,4)=16,(2,3)=19,(3,4)=31,(1,4)=47,(1,5)=50,(0,2)=52,(1,3)=75,(2,5)=75]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=49\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0, 5: 5}, Find(3)=2, Find(4)=0, Add (3,4)=31 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=2, Find(4)=2, Add (1,4)=47 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=50 Succeeded, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=75 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=75 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,63],[0,2,2],[0,3,88],[0,4,89],[1,2,91],[1,3,72],[1,4,82],[2,3,12],[2,4,23],[3,4,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,2],[0,3,88],[0,4,89],[1,2,91],[1,3,72],[1,4,82],[2,3,12],[2,4,23],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,2],[0,3,88],[0,4,89],[1,2,91],[1,3,72],[1,4,82],[2,3,12],[2,4,23],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,2],[0,3,88],[0,4,89],[1,2,91],[1,3,72],[1,4,82],[2,3,12],[2,4,23],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (2,3)=12, w=14\",\"Add (3,4)=20, w=34\",\"Add (0,1)=63, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,2],[0,3,88],[0,4,89],[1,2,91],[1,3,72],[1,4,82],[2,3,12],[2,4,23],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (2,3)=12 Succeeded, w=14\",\"Add (3,4)=20 Succeeded, w=34\",\"Add (2,4)=23 Failed, w=34\",\"Add (0,1)=63 Succeeded, w=97\",\"Add (1,3)=72 Failed, w=97\",\"Add (1,4)=82 Failed, w=97\",\"Add (0,3)=88 Failed, w=97\",\"Add (0,4)=89 Failed, w=97\",\"Add (1,2)=91 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,2],[0,3,88],[0,4,89],[1,2,91],[1,3,72],[1,4,82],[2,3,12],[2,4,23],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,3)=12,(3,4)=20,(2,4)=23,(0,1)=63,(1,3)=72,(1,4)=82,(0,3)=88,(0,4)=89,(1,2)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(2)=0, Find(3)=3, Add (2,3)=12 Succeeded, w=14\",\"Find(3)=0, Find(4)=4, Add (3,4)=20 Succeeded, w=34\",\"Find(2)=0, Find(4)=0, Add (2,4)=23 Failed, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=97\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=97\",\"Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[0,2,2],[0,3,88],[0,4,89],[1,2,91],[1,3,72],[1,4,82],[2,3,12],[2,4,23],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,3)=12,(3,4)=20,(2,4)=23,(0,1)=63,(1,3)=72,(1,4)=82,(0,3)=88,(0,4)=89,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=12 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=23 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,3,38],[1,2,23],[1,3,9],[2,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,38],[1,2,23],[1,3,9],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,38],[1,2,23],[1,3,9],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,38],[1,2,23],[1,3,9],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (1,2)=23, w=32\",\"Add (0,3)=38, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,38],[1,2,23],[1,3,9],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (1,2)=23 Succeeded, w=32\",\"Add (0,3)=38 Succeeded, w=70\",\"Add (0,1)=50 Failed, w=70\",\"Add (2,3)=87 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,38],[1,2,23],[1,3,9],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(1,2)=23,(0,3)=38,(0,1)=50,(2,3)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=32\",\"Find(0)=0, Find(3)=1, Add (0,3)=38 Succeeded, w=70\",\"Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=70\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,38],[1,2,23],[1,3,9],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(1,2)=23,(0,3)=38,(0,1)=50,(2,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=32\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=38 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=50 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,7],[0,2,60],[0,3,9],[0,4,43],[1,2,1],[1,3,24],[1,4,71],[2,3,50],[2,4,95],[3,4,79],[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\":[[0,1,7],[0,2,60],[0,3,9],[0,4,43],[1,2,1],[1,3,24],[1,4,71],[2,3,50],[2,4,95],[3,4,79],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,60],[0,3,9],[0,4,43],[1,2,1],[1,3,24],[1,4,71],[2,3,50],[2,4,95],[3,4,79],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,60],[0,3,9],[0,4,43],[1,2,1],[1,3,24],[1,4,71],[2,3,50],[2,4,95],[3,4,79],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,1)=7, w=8\",\"Add (0,3)=9, w=17\",\"Add (4,5)=23, w=40\",\"Add (3,5)=36, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,60],[0,3,9],[0,4,43],[1,2,1],[1,3,24],[1,4,71],[2,3,50],[2,4,95],[3,4,79],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,1)=7 Succeeded, w=8\",\"Add (0,3)=9 Succeeded, w=17\",\"Add (4,5)=23 Succeeded, w=40\",\"Add (1,3)=24 Failed, w=40\",\"Add (3,5)=36 Succeeded, w=76\",\"Add (0,4)=43 Failed, w=76\",\"Add (2,3)=50 Failed, w=76\",\"Add (0,2)=60 Failed, w=76\",\"Add (1,4)=71 Failed, w=76\",\"Add (3,4)=79 Failed, w=76\",\"Add (2,4)=95 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,60],[0,3,9],[0,4,43],[1,2,1],[1,3,24],[1,4,71],[2,3,50],[2,4,95],[3,4,79],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=7,(0,3)=9,(4,5)=23,(1,3)=24,(3,5)=36,(0,4)=43,(2,3)=50,(0,2)=60,(1,4)=71,(3,4)=79,(2,4)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=8\",\"Find(0)=1, Find(3)=3, Add (0,3)=9 Succeeded, w=17\",\"Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=40\",\"Find(1)=1, Find(3)=1, Add (1,3)=24 Failed, w=40\",\"Find(3)=1, Find(5)=4, Add (3,5)=36 Succeeded, w=76\",\"Find(0)=1, Find(4)=1, Add (0,4)=43 Failed, w=76\",\"Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=76\",\"Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=76\",\"Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=76\",\"Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=76\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,60],[0,3,9],[0,4,43],[1,2,1],[1,3,24],[1,4,71],[2,3,50],[2,4,95],[3,4,79],[3,5,36],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=7,(0,3)=9,(4,5)=23,(1,3)=24,(3,5)=36,(0,4)=43,(2,3)=50,(0,2)=60,(1,4)=71,(3,4)=79,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(0)=1, Find(3)=3, Add (0,3)=9 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=23 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=1, Add (1,3)=24 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(3)=1, Find(5)=4, Add (3,5)=36 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(4)=1, Add (0,4)=43 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(4)=1, Add (1,4)=71 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(3)=1, Find(4)=1, Add (3,4)=79 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,61],[0,2,26],[0,3,34],[1,2,69],[1,3,55],[2,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,26],[0,3,34],[1,2,69],[1,3,55],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,26],[0,3,34],[1,2,69],[1,3,55],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,26],[0,3,34],[1,2,69],[1,3,55],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26, w=26\",\"Add (0,3)=34, w=60\",\"Add (1,3)=55, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,26],[0,3,34],[1,2,69],[1,3,55],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26 Succeeded, w=26\",\"Add (0,3)=34 Succeeded, w=60\",\"Add (2,3)=37 Failed, w=60\",\"Add (1,3)=55 Succeeded, w=115\",\"Add (0,1)=61 Failed, w=115\",\"Add (1,2)=69 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,26],[0,3,34],[1,2,69],[1,3,55],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(0,3)=34,(2,3)=37,(1,3)=55,(0,1)=61,(1,2)=69]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=60\",\"Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=60\",\"Find(1)=1, Find(3)=0, Add (1,3)=55 Succeeded, w=115\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,61],[0,2,26],[0,3,34],[1,2,69],[1,3,55],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(0,3)=34,(2,3)=37,(1,3)=55,(0,1)=61,(1,2)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=55 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,2,61],[0,3,45],[0,4,56],[1,3,75],[1,4,49],[1,5,70],[2,3,8],[2,4,21],[2,5,8],[3,4,46],[3,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,61],[0,3,45],[0,4,56],[1,3,75],[1,4,49],[1,5,70],[2,3,8],[2,4,21],[2,5,8],[3,4,46],[3,5,8]]}",
"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],\"edges\":[[0,1,68],[0,2,61],[0,3,45],[0,4,56],[1,3,75],[1,4,49],[1,5,70],[2,3,8],[2,4,21],[2,5,8],[3,4,46],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,61],[0,3,45],[0,4,56],[1,3,75],[1,4,49],[1,5,70],[2,3,8],[2,4,21],[2,5,8],[3,4,46],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (2,5)=8, w=16\",\"Add (2,4)=21, w=37\",\"Add (0,3)=45, w=82\",\"Add (1,4)=49, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,2,61],[0,3,45],[0,4,56],[1,3,75],[1,4,49],[1,5,70],[2,3,8],[2,4,21],[2,5,8],[3,4,46],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (2,5)=8 Succeeded, w=16\",\"Add (3,5)=8 Failed, w=16\",\"Add (2,4)=21 Succeeded, w=37\",\"Add (0,3)=45 Succeeded, w=82\",\"Add (3,4)=46 Failed, w=82\",\"Add (1,4)=49 Succeeded, w=131\",\"Add (0,4)=56 Failed, w=131\",\"Add (0,2)=61 Failed, w=131\",\"Add (0,1)=68 Failed, w=131\",\"Add (1,5)=70 Failed, w=131\",\"Add (1,3)=75 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],\"edges\":[[0,1,68],[0,2,61],[0,3,45],[0,4,56],[1,3,75],[1,4,49],[1,5,70],[2,3,8],[2,4,21],[2,5,8],[3,4,46],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(2,5)=8,(3,5)=8,(2,4)=21,(0,3)=45,(3,4)=46,(1,4)=49,(0,4)=56,(0,2)=61,(0,1)=68,(1,5)=70,(1,3)=75]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=16\",\"Find(3)=2, Find(5)=2, Add (3,5)=8 Failed, w=16\",\"Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=37\",\"Find(0)=0, Find(3)=2, Add (0,3)=45 Succeeded, w=82\",\"Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=82\",\"Find(1)=1, Find(4)=2, Add (1,4)=49 Succeeded, w=131\",\"Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=131\",\"Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=131\",\"Find(0)=2, Find(1)=2, Add (0,1)=68 Failed, w=131\",\"Find(1)=2, Find(5)=2, Add (1,5)=70 Failed, w=131\",\"Find(1)=2, Find(3)=2, Add (1,3)=75 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],\"edges\":[[0,1,68],[0,2,61],[0,3,45],[0,4,56],[1,3,75],[1,4,49],[1,5,70],[2,3,8],[2,4,21],[2,5,8],[3,4,46],[3,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(2,5)=8,(3,5)=8,(2,4)=21,(0,3)=45,(3,4)=46,(1,4)=49,(0,4)=56,(0,2)=61,(0,1)=68,(1,5)=70,(1,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=8 Failed, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=21 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(3)=2, Add (0,3)=45 Succeeded, w=82\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=49 Succeeded, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=68 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=70 Failed, w=131\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=75 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,92],[0,3,31],[0,4,44],[0,5,90],[0,6,40],[1,6,64],[2,3,16],[2,4,98],[2,5,17],[3,4,76],[3,5,86],[3,6,19],[4,5,59],[5,6,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,31],[0,4,44],[0,5,90],[0,6,40],[1,6,64],[2,3,16],[2,4,98],[2,5,17],[3,4,76],[3,5,86],[3,6,19],[4,5,59],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,31],[0,4,44],[0,5,90],[0,6,40],[1,6,64],[2,3,16],[2,4,98],[2,5,17],[3,4,76],[3,5,86],[3,6,19],[4,5,59],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,6)\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,31],[0,4,44],[0,5,90],[0,6,40],[1,6,64],[2,3,16],[2,4,98],[2,5,17],[3,4,76],[3,5,86],[3,6,19],[4,5,59],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (2,5)=17, w=33\",\"Add (3,6)=19, w=52\",\"Add (0,3)=31, w=83\",\"Add (0,4)=44, w=127\",\"Add (1,6)=64, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,31],[0,4,44],[0,5,90],[0,6,40],[1,6,64],[2,3,16],[2,4,98],[2,5,17],[3,4,76],[3,5,86],[3,6,19],[4,5,59],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (2,5)=17 Succeeded, w=33\",\"Add (3,6)=19 Succeeded, w=52\",\"Add (0,3)=31 Succeeded, w=83\",\"Add (0,6)=40 Failed, w=83\",\"Add (0,4)=44 Succeeded, w=127\",\"Add (4,5)=59 Failed, w=127\",\"Add (1,6)=64 Succeeded, w=191\",\"Add (5,6)=70 Failed, w=191\",\"Add (3,4)=76 Failed, w=191\",\"Add (3,5)=86 Failed, w=191\",\"Add (0,5)=90 Failed, w=191\",\"Add (0,1)=92 Failed, w=191\",\"Add (2,4)=98 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,31],[0,4,44],[0,5,90],[0,6,40],[1,6,64],[2,3,16],[2,4,98],[2,5,17],[3,4,76],[3,5,86],[3,6,19],[4,5,59],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(2,5)=17,(3,6)=19,(0,3)=31,(0,6)=40,(0,4)=44,(4,5)=59,(1,6)=64,(5,6)=70,(3,4)=76,(3,5)=86,(0,5)=90,(0,1)=92,(2,4)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=33\",\"Find(3)=2, Find(6)=6, Add (3,6)=19 Succeeded, w=52\",\"Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=83\",\"Find(0)=2, Find(6)=2, Add (0,6)=40 Failed, w=83\",\"Find(0)=2, Find(4)=4, Add (0,4)=44 Succeeded, w=127\",\"Find(4)=2, Find(5)=2, Add (4,5)=59 Failed, w=127\",\"Find(1)=1, Find(6)=2, Add (1,6)=64 Succeeded, w=191\",\"Find(5)=2, Find(6)=2, Add (5,6)=70 Failed, w=191\",\"Find(3)=2, Find(4)=2, Add (3,4)=76 Failed, w=191\",\"Find(3)=2, Find(5)=2, Add (3,5)=86 Failed, w=191\",\"Find(0)=2, Find(5)=2, Add (0,5)=90 Failed, w=191\",\"Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=191\",\"Find(2)=2, Find(4)=2, Add (2,4)=98 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,31],[0,4,44],[0,5,90],[0,6,40],[1,6,64],[2,3,16],[2,4,98],[2,5,17],[3,4,76],[3,5,86],[3,6,19],[4,5,59],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(2,5)=17,(3,6)=19,(0,3)=31,(0,6)=40,(0,4)=44,(4,5)=59,(1,6)=64,(5,6)=70,(3,4)=76,(3,5)=86,(0,5)=90,(0,1)=92,(2,4)=98]\",\"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)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=19 Succeeded, w=52\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=83\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=40 Failed, w=83\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=4, Add (0,4)=44 Succeeded, w=127\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=59 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=64 Succeeded, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=70 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=76 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=86 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=90 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=191\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=98 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,76],[0,4,85],[1,4,53],[2,4,54],[2,5,7],[4,5,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,85],[1,4,53],[2,4,54],[2,5,7],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,85],[1,4,53],[2,4,54],[2,5,7],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,85],[1,4,53],[2,4,54],[2,5,7],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=7, w=7\",\"Add (4,5)=37, w=44\",\"Add (1,4)=53, w=97\",\"Add (0,2)=76, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,85],[1,4,53],[2,4,54],[2,5,7],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=7 Succeeded, w=7\",\"Add (4,5)=37 Succeeded, w=44\",\"Add (1,4)=53 Succeeded, w=97\",\"Add (2,4)=54 Failed, w=97\",\"Add (0,2)=76 Succeeded, w=173\",\"Add (0,4)=85 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,85],[1,4,53],[2,4,54],[2,5,7],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=7,(4,5)=37,(1,4)=53,(2,4)=54,(0,2)=76,(0,4)=85]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=7\",\"Find(4)=4, Find(5)=2, Add (4,5)=37 Succeeded, w=44\",\"Find(1)=1, Find(4)=2, Add (1,4)=53 Succeeded, w=97\",\"Find(2)=2, Find(4)=2, Add (2,4)=54 Failed, w=97\",\"Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=173\",\"Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,4,85],[1,4,53],[2,4,54],[2,5,7],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=7,(4,5)=37,(1,4)=53,(2,4)=54,(0,2)=76,(0,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=37 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=53 Succeeded, w=97\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=54 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=76 Succeeded, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,49],[0,2,81],[0,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,81],[0,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,81],[0,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,81],[0,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=49, w=49\",\"Add (0,4)=58, w=107\",\"Add (0,2)=81, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,81],[0,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=49 Succeeded, w=49\",\"Add (0,4)=58 Succeeded, w=107\",\"Add (0,2)=81 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,81],[0,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=49,(0,4)=58,(0,2)=81]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=49\",\"Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=107\",\"Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,81],[0,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=49,(0,4)=58,(0,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=81 Succeeded, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,19],[0,2,100],[0,3,57],[0,4,9],[1,2,78],[3,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,100],[0,3,57],[0,4,9],[1,2,78],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,100],[0,3,57],[0,4,9],[1,2,78],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,100],[0,3,57],[0,4,9],[1,2,78],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,4)=9, w=10\",\"Add (0,1)=19, w=29\",\"Add (1,2)=78, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,100],[0,3,57],[0,4,9],[1,2,78],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,4)=9 Succeeded, w=10\",\"Add (0,1)=19 Succeeded, w=29\",\"Add (0,3)=57 Failed, w=29\",\"Add (1,2)=78 Succeeded, w=107\",\"Add (0,2)=100 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,100],[0,3,57],[0,4,9],[1,2,78],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,4)=9,(0,1)=19,(0,3)=57,(1,2)=78,(0,2)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=3, Add (0,4)=9 Succeeded, w=10\",\"Find(0)=3, Find(1)=1, Add (0,1)=19 Succeeded, w=29\",\"Find(0)=3, Find(3)=3, Add (0,3)=57 Failed, w=29\",\"Find(1)=3, Find(2)=2, Add (1,2)=78 Succeeded, w=107\",\"Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,100],[0,3,57],[0,4,9],[1,2,78],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,4)=9,(0,1)=19,(0,3)=57,(1,2)=78,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=9 Succeeded, w=10\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=19 Succeeded, w=29\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=57 Failed, w=29\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=2, Add (1,2)=78 Succeeded, w=107\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,2,23],[0,4,32],[1,2,55],[1,3,33],[1,4,89],[2,3,75],[2,4,73],[3,4,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,4,32],[1,2,55],[1,3,33],[1,4,89],[2,3,75],[2,4,73],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,4,32],[1,2,55],[1,3,33],[1,4,89],[2,3,75],[2,4,73],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,4,32],[1,2,55],[1,3,33],[1,4,89],[2,3,75],[2,4,73],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (0,2)=23, w=32\",\"Add (0,4)=32, w=64\",\"Add (1,3)=33, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,4,32],[1,2,55],[1,3,33],[1,4,89],[2,3,75],[2,4,73],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (0,2)=23 Succeeded, w=32\",\"Add (0,4)=32 Succeeded, w=64\",\"Add (1,3)=33 Succeeded, w=97\",\"Add (1,2)=55 Failed, w=97\",\"Add (2,4)=73 Failed, w=97\",\"Add (2,3)=75 Failed, w=97\",\"Add (3,4)=84 Failed, w=97\",\"Add (1,4)=89 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,4,32],[1,2,55],[1,3,33],[1,4,89],[2,3,75],[2,4,73],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=23,(0,4)=32,(1,3)=33,(1,2)=55,(2,4)=73,(2,3)=75,(3,4)=84,(1,4)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=32\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=64\",\"Find(1)=0, Find(3)=3, Add (1,3)=33 Succeeded, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=97\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=97\",\"Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=97\",\"Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,23],[0,4,32],[1,2,55],[1,3,33],[1,4,89],[2,3,75],[2,4,73],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,2)=23,(0,4)=32,(1,3)=33,(1,2)=55,(2,4)=73,(2,3)=75,(3,4)=84,(1,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=33 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=75 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=84 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,84],[0,3,26],[0,4,7],[0,5,72],[0,6,64],[1,2,23],[1,4,72],[1,5,72],[1,6,35],[2,3,54],[2,4,4],[2,5,95],[2,6,16],[3,4,2],[3,5,19],[3,6,20],[4,5,6],[4,6,62],[5,6,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,84],[0,3,26],[0,4,7],[0,5,72],[0,6,64],[1,2,23],[1,4,72],[1,5,72],[1,6,35],[2,3,54],[2,4,4],[2,5,95],[2,6,16],[3,4,2],[3,5,19],[3,6,20],[4,5,6],[4,6,62],[5,6,3]]}",
"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\":[[0,1,61],[0,2,84],[0,3,26],[0,4,7],[0,5,72],[0,6,64],[1,2,23],[1,4,72],[1,5,72],[1,6,35],[2,3,54],[2,4,4],[2,5,95],[2,6,16],[3,4,2],[3,5,19],[3,6,20],[4,5,6],[4,6,62],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,84],[0,3,26],[0,4,7],[0,5,72],[0,6,64],[1,2,23],[1,4,72],[1,5,72],[1,6,35],[2,3,54],[2,4,4],[2,5,95],[2,6,16],[3,4,2],[3,5,19],[3,6,20],[4,5,6],[4,6,62],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (5,6)=3, w=5\",\"Add (2,4)=4, w=9\",\"Add (4,5)=6, w=15\",\"Add (0,4)=7, w=22\",\"Add (1,2)=23, 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\":[[0,1,61],[0,2,84],[0,3,26],[0,4,7],[0,5,72],[0,6,64],[1,2,23],[1,4,72],[1,5,72],[1,6,35],[2,3,54],[2,4,4],[2,5,95],[2,6,16],[3,4,2],[3,5,19],[3,6,20],[4,5,6],[4,6,62],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (5,6)=3 Succeeded, w=5\",\"Add (2,4)=4 Succeeded, w=9\",\"Add (4,5)=6 Succeeded, w=15\",\"Add (0,4)=7 Succeeded, w=22\",\"Add (2,6)=16 Failed, w=22\",\"Add (3,5)=19 Failed, w=22\",\"Add (3,6)=20 Failed, w=22\",\"Add (1,2)=23 Succeeded, w=45\",\"Add (0,3)=26 Failed, w=45\",\"Add (1,6)=35 Failed, w=45\",\"Add (2,3)=54 Failed, w=45\",\"Add (0,1)=61 Failed, w=45\",\"Add (4,6)=62 Failed, w=45\",\"Add (0,6)=64 Failed, w=45\",\"Add (0,5)=72 Failed, w=45\",\"Add (1,4)=72 Failed, w=45\",\"Add (1,5)=72 Failed, w=45\",\"Add (0,2)=84 Failed, w=45\",\"Add (2,5)=95 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\":[[0,1,61],[0,2,84],[0,3,26],[0,4,7],[0,5,72],[0,6,64],[1,2,23],[1,4,72],[1,5,72],[1,6,35],[2,3,54],[2,4,4],[2,5,95],[2,6,16],[3,4,2],[3,5,19],[3,6,20],[4,5,6],[4,6,62],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(5,6)=3,(2,4)=4,(4,5)=6,(0,4)=7,(2,6)=16,(3,5)=19,(3,6)=20,(1,2)=23,(0,3)=26,(1,6)=35,(2,3)=54,(0,1)=61,(4,6)=62,(0,6)=64,(0,5)=72,(1,4)=72,(1,5)=72,(0,2)=84,(2,5)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=5\",\"Find(2)=2, Find(4)=3, Add (2,4)=4 Succeeded, w=9\",\"Find(4)=3, Find(5)=5, Add (4,5)=6 Succeeded, w=15\",\"Find(0)=0, Find(4)=3, Add (0,4)=7 Succeeded, w=22\",\"Find(2)=3, Find(6)=3, Add (2,6)=16 Failed, w=22\",\"Find(3)=3, Find(5)=3, Add (3,5)=19 Failed, w=22\",\"Find(3)=3, Find(6)=3, Add (3,6)=20 Failed, w=22\",\"Find(1)=1, Find(2)=3, Add (1,2)=23 Succeeded, w=45\",\"Find(0)=3, Find(3)=3, Add (0,3)=26 Failed, w=45\",\"Find(1)=3, Find(6)=3, Add (1,6)=35 Failed, w=45\",\"Find(2)=3, Find(3)=3, Add (2,3)=54 Failed, w=45\",\"Find(0)=3, Find(1)=3, Add (0,1)=61 Failed, w=45\",\"Find(4)=3, Find(6)=3, Add (4,6)=62 Failed, w=45\",\"Find(0)=3, Find(6)=3, Add (0,6)=64 Failed, w=45\",\"Find(0)=3, Find(5)=3, Add (0,5)=72 Failed, w=45\",\"Find(1)=3, Find(4)=3, Add (1,4)=72 Failed, w=45\",\"Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=45\",\"Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=45\",\"Find(2)=3, Find(5)=3, Add (2,5)=95 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\":[[0,1,61],[0,2,84],[0,3,26],[0,4,7],[0,5,72],[0,6,64],[1,2,23],[1,4,72],[1,5,72],[1,6,35],[2,3,54],[2,4,4],[2,5,95],[2,6,16],[3,4,2],[3,5,19],[3,6,20],[4,5,6],[4,6,62],[5,6,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(5,6)=3,(2,4)=4,(4,5)=6,(0,4)=7,(2,6)=16,(3,5)=19,(3,6)=20,(1,2)=23,(0,3)=26,(1,6)=35,(2,3)=54,(0,1)=61,(4,6)=62,(0,6)=64,(0,5)=72,(1,4)=72,(1,5)=72,(0,2)=84,(2,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 5}, Find(2)=2, Find(4)=3, Add (2,4)=4 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(4)=3, Find(5)=5, Add (4,5)=6 Succeeded, w=15\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 5}, Find(0)=0, Find(4)=3, Add (0,4)=7 Succeeded, w=22\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=16 Failed, w=22\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=19 Failed, w=22\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=20 Failed, w=22\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(2)=3, Add (1,2)=23 Succeeded, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=26 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=35 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=54 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=61 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=62 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=64 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=72 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=72 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=84 Failed, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=95 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,37],[0,2,23],[0,3,31],[0,4,41],[0,5,7],[0,7,6],[1,2,19],[1,4,42],[1,7,23],[2,3,85],[2,4,91],[2,5,74],[2,6,34],[2,7,23],[3,5,36],[3,6,91],[4,5,36],[4,6,80],[4,7,67],[5,6,88],[5,7,35],[6,7,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,23],[0,3,31],[0,4,41],[0,5,7],[0,7,6],[1,2,19],[1,4,42],[1,7,23],[2,3,85],[2,4,91],[2,5,74],[2,6,34],[2,7,23],[3,5,36],[3,6,91],[4,5,36],[4,6,80],[4,7,67],[5,6,88],[5,7,35],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,23],[0,3,31],[0,4,41],[0,5,7],[0,7,6],[1,2,19],[1,4,42],[1,7,23],[2,3,85],[2,4,91],[2,5,74],[2,6,34],[2,7,23],[3,5,36],[3,6,91],[4,5,36],[4,6,80],[4,7,67],[5,6,88],[5,7,35],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (0,5)\",\"Add (6,7)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,23],[0,3,31],[0,4,41],[0,5,7],[0,7,6],[1,2,19],[1,4,42],[1,7,23],[2,3,85],[2,4,91],[2,5,74],[2,6,34],[2,7,23],[3,5,36],[3,6,91],[4,5,36],[4,6,80],[4,7,67],[5,6,88],[5,7,35],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=6, w=6\",\"Add (0,5)=7, w=13\",\"Add (6,7)=13, w=26\",\"Add (1,2)=19, w=45\",\"Add (0,2)=23, w=68\",\"Add (0,3)=31, w=99\",\"Add (4,5)=36, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,23],[0,3,31],[0,4,41],[0,5,7],[0,7,6],[1,2,19],[1,4,42],[1,7,23],[2,3,85],[2,4,91],[2,5,74],[2,6,34],[2,7,23],[3,5,36],[3,6,91],[4,5,36],[4,6,80],[4,7,67],[5,6,88],[5,7,35],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=6 Succeeded, w=6\",\"Add (0,5)=7 Succeeded, w=13\",\"Add (6,7)=13 Succeeded, w=26\",\"Add (1,2)=19 Succeeded, w=45\",\"Add (0,2)=23 Succeeded, w=68\",\"Add (1,7)=23 Failed, w=68\",\"Add (2,7)=23 Failed, w=68\",\"Add (0,3)=31 Succeeded, w=99\",\"Add (2,6)=34 Failed, w=99\",\"Add (5,7)=35 Failed, w=99\",\"Add (3,5)=36 Failed, w=99\",\"Add (4,5)=36 Succeeded, w=135\",\"Add (0,1)=37 Failed, w=135\",\"Add (0,4)=41 Failed, w=135\",\"Add (1,4)=42 Failed, w=135\",\"Add (4,7)=67 Failed, w=135\",\"Add (2,5)=74 Failed, w=135\",\"Add (4,6)=80 Failed, w=135\",\"Add (2,3)=85 Failed, w=135\",\"Add (5,6)=88 Failed, w=135\",\"Add (2,4)=91 Failed, w=135\",\"Add (3,6)=91 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,23],[0,3,31],[0,4,41],[0,5,7],[0,7,6],[1,2,19],[1,4,42],[1,7,23],[2,3,85],[2,4,91],[2,5,74],[2,6,34],[2,7,23],[3,5,36],[3,6,91],[4,5,36],[4,6,80],[4,7,67],[5,6,88],[5,7,35],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=6,(0,5)=7,(6,7)=13,(1,2)=19,(0,2)=23,(1,7)=23,(2,7)=23,(0,3)=31,(2,6)=34,(5,7)=35,(3,5)=36,(4,5)=36,(0,1)=37,(0,4)=41,(1,4)=42,(4,7)=67,(2,5)=74,(4,6)=80,(2,3)=85,(5,6)=88,(2,4)=91,(3,6)=91]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=13\",\"Find(6)=6, Find(7)=0, Add (6,7)=13 Succeeded, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=45\",\"Find(0)=0, Find(2)=1, Add (0,2)=23 Succeeded, w=68\",\"Find(1)=0, Find(7)=0, Add (1,7)=23 Failed, w=68\",\"Find(2)=0, Find(7)=0, Add (2,7)=23 Failed, w=68\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=99\",\"Find(2)=0, Find(6)=0, Add (2,6)=34 Failed, w=99\",\"Find(5)=0, Find(7)=0, Add (5,7)=35 Failed, w=99\",\"Find(3)=0, Find(5)=0, Add (3,5)=36 Failed, w=99\",\"Find(4)=4, Find(5)=0, Add (4,5)=36 Succeeded, w=135\",\"Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=135\",\"Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=135\",\"Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=135\",\"Find(4)=0, Find(7)=0, Add (4,7)=67 Failed, w=135\",\"Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=135\",\"Find(4)=0, Find(6)=0, Add (4,6)=80 Failed, w=135\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=135\",\"Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=135\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=135\",\"Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,2,23],[0,3,31],[0,4,41],[0,5,7],[0,7,6],[1,2,19],[1,4,42],[1,7,23],[2,3,85],[2,4,91],[2,5,74],[2,6,34],[2,7,23],[3,5,36],[3,6,91],[4,5,36],[4,6,80],[4,7,67],[5,6,88],[5,7,35],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=6,(0,5)=7,(6,7)=13,(1,2)=19,(0,2)=23,(1,7)=23,(2,7)=23,(0,3)=31,(2,6)=34,(5,7)=35,(3,5)=36,(4,5)=36,(0,1)=37,(0,4)=41,(1,4)=42,(4,7)=67,(2,5)=74,(4,6)=80,(2,3)=85,(5,6)=88,(2,4)=91,(3,6)=91]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=1, Add (0,2)=23 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=23 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=23 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=34 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=35 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=36 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(5)=0, Add (4,5)=36 Succeeded, w=135\",\"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)=37 Failed, w=135\",\"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)=41 Failed, w=135\",\"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)=42 Failed, w=135\",\"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)=67 Failed, w=135\",\"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)=74 Failed, w=135\",\"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)=80 Failed, w=135\",\"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=135\",\"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)=88 Failed, w=135\",\"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)=91 Failed, w=135\",\"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)=91 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,38],[0,2,27],[0,3,79],[0,4,20],[1,2,15],[1,3,9],[1,4,45],[2,3,95],[2,4,97],[3,4,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,27],[0,3,79],[0,4,20],[1,2,15],[1,3,9],[1,4,45],[2,3,95],[2,4,97],[3,4,30]]}",
"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\":[[0,1,38],[0,2,27],[0,3,79],[0,4,20],[1,2,15],[1,3,9],[1,4,45],[2,3,95],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,27],[0,3,79],[0,4,20],[1,2,15],[1,3,9],[1,4,45],[2,3,95],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (1,2)=15, w=24\",\"Add (0,4)=20, w=44\",\"Add (0,2)=27, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,27],[0,3,79],[0,4,20],[1,2,15],[1,3,9],[1,4,45],[2,3,95],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (1,2)=15 Succeeded, w=24\",\"Add (0,4)=20 Succeeded, w=44\",\"Add (0,2)=27 Succeeded, w=71\",\"Add (3,4)=30 Failed, w=71\",\"Add (0,1)=38 Failed, w=71\",\"Add (1,4)=45 Failed, w=71\",\"Add (0,3)=79 Failed, w=71\",\"Add (2,3)=95 Failed, w=71\",\"Add (2,4)=97 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\":[[0,1,38],[0,2,27],[0,3,79],[0,4,20],[1,2,15],[1,3,9],[1,4,45],[2,3,95],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(1,2)=15,(0,4)=20,(0,2)=27,(3,4)=30,(0,1)=38,(1,4)=45,(0,3)=79,(2,3)=95,(2,4)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=24\",\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=44\",\"Find(0)=0, Find(2)=1, Add (0,2)=27 Succeeded, w=71\",\"Find(3)=0, Find(4)=0, Add (3,4)=30 Failed, w=71\",\"Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=71\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=71\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=71\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=71\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 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\":[[0,1,38],[0,2,27],[0,3,79],[0,4,20],[1,2,15],[1,3,9],[1,4,45],[2,3,95],[2,4,97],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(1,2)=15,(0,4)=20,(0,2)=27,(3,4)=30,(0,1)=38,(1,4)=45,(0,3)=79,(2,3)=95,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=27 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=30 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,5],[1,2,48],[1,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,5],[1,2,48],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,5],[1,2,48],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,5],[1,2,48],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (1,2)=48, w=53\",\"Add (1,3)=69, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,5],[1,2,48],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (1,2)=48 Succeeded, w=53\",\"Add (1,3)=69 Succeeded, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,5],[1,2,48],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=48,(1,3)=69]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=53\",\"Find(1)=1, Find(3)=0, Add (1,3)=69 Succeeded, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,5],[1,2,48],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=48,(1,3)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=48 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=69 Succeeded, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,2,16],[0,3,75],[0,4,58],[1,2,11],[1,3,37],[1,4,100],[2,3,79],[2,4,89],[3,4,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,16],[0,3,75],[0,4,58],[1,2,11],[1,3,37],[1,4,100],[2,3,79],[2,4,89],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,16],[0,3,75],[0,4,58],[1,2,11],[1,3,37],[1,4,100],[2,3,79],[2,4,89],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,16],[0,3,75],[0,4,58],[1,2,11],[1,3,37],[1,4,100],[2,3,79],[2,4,89],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (1,2)=11, w=17\",\"Add (3,4)=35, w=52\",\"Add (1,3)=37, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,16],[0,3,75],[0,4,58],[1,2,11],[1,3,37],[1,4,100],[2,3,79],[2,4,89],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (1,2)=11 Succeeded, w=17\",\"Add (0,2)=16 Failed, w=17\",\"Add (3,4)=35 Succeeded, w=52\",\"Add (1,3)=37 Succeeded, w=89\",\"Add (0,4)=58 Failed, w=89\",\"Add (0,3)=75 Failed, w=89\",\"Add (2,3)=79 Failed, w=89\",\"Add (2,4)=89 Failed, w=89\",\"Add (1,4)=100 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,16],[0,3,75],[0,4,58],[1,2,11],[1,3,37],[1,4,100],[2,3,79],[2,4,89],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,2)=11,(0,2)=16,(3,4)=35,(1,3)=37,(0,4)=58,(0,3)=75,(2,3)=79,(2,4)=89,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=17\",\"Find(0)=0, Find(2)=0, Add (0,2)=16 Failed, w=17\",\"Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=52\",\"Find(1)=0, Find(3)=3, Add (1,3)=37 Succeeded, w=89\",\"Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=89\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=89\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=89\",\"Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=89\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,16],[0,3,75],[0,4,58],[1,2,11],[1,3,37],[1,4,100],[2,3,79],[2,4,89],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,2)=11,(0,2)=16,(3,4)=35,(1,3)=37,(0,4)=58,(0,3)=75,(2,3)=79,(2,4)=89,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=16 Failed, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=35 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(3)=3, Add (1,3)=37 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=58 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
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