graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[1,2,33],[1,5,61],[2,3,16],[2,4,19],[3,4,60],[3,6,64],[4,5,36],[4,6,70],[5,6,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,33],[1,5,61],[2,3,16],[2,4,19],[3,4,60],[3,6,64],[4,5,36],[4,6,70],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,33],[1,5,61],[2,3,16],[2,4,19],[3,4,60],[3,6,64],[4,5,36],[4,6,70],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (3,6)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,33],[1,5,61],[2,3,16],[2,4,19],[3,4,60],[3,6,64],[4,5,36],[4,6,70],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (2,4)=19, w=35\",\"Add (1,2)=33, w=68\",\"Add (4,5)=36, w=104\",\"Add (3,6)=64, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,33],[1,5,61],[2,3,16],[2,4,19],[3,4,60],[3,6,64],[4,5,36],[4,6,70],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (2,4)=19 Succeeded, w=35\",\"Add (1,2)=33 Succeeded, w=68\",\"Add (4,5)=36 Succeeded, w=104\",\"Add (3,4)=60 Failed, w=104\",\"Add (1,5)=61 Failed, w=104\",\"Add (3,6)=64 Succeeded, w=168\",\"Add (4,6)=70 Failed, w=168\",\"Add (5,6)=80 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,33],[1,5,61],[2,3,16],[2,4,19],[3,4,60],[3,6,64],[4,5,36],[4,6,70],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(2,4)=19,(1,2)=33,(4,5)=36,(3,4)=60,(1,5)=61,(3,6)=64,(4,6)=70,(5,6)=80]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=35\",\"Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=68\",\"Find(4)=2, Find(5)=5, Add (4,5)=36 Succeeded, w=104\",\"Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=104\",\"Find(1)=2, Find(5)=2, Add (1,5)=61 Failed, w=104\",\"Find(3)=2, Find(6)=6, Add (3,6)=64 Succeeded, w=168\",\"Find(4)=2, Find(6)=2, Add (4,6)=70 Failed, w=168\",\"Find(5)=2, Find(6)=2, Add (5,6)=80 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[1,2,33],[1,5,61],[2,3,16],[2,4,19],[3,4,60],[3,6,64],[4,5,36],[4,6,70],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(2,4)=19,(1,2)=33,(4,5)=36,(3,4)=60,(1,5)=61,(3,6)=64,(4,6)=70,(5,6)=80]\",\"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: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=68\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(4)=2, Find(5)=5, Add (4,5)=36 Succeeded, w=104\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(3)=2, Find(4)=2, Add (3,4)=60 Failed, w=104\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(5)=2, Add (1,5)=61 Failed, w=104\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=64 Succeeded, w=168\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=70 Failed, w=168\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=80 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,49],[0,2,100],[1,2,78],[1,3,86],[3,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,100],[1,2,78],[1,3,86],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,100],[1,2,78],[1,3,86],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,100],[1,2,78],[1,3,86],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=49, w=49\",\"Add (1,2)=78, w=127\",\"Add (1,3)=86, w=213\",\"Add (3,4)=100, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,100],[1,2,78],[1,3,86],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=49 Succeeded, w=49\",\"Add (1,2)=78 Succeeded, w=127\",\"Add (1,3)=86 Succeeded, w=213\",\"Add (0,2)=100 Failed, w=213\",\"Add (3,4)=100 Succeeded, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,100],[1,2,78],[1,3,86],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=49,(1,2)=78,(1,3)=86,(0,2)=100,(3,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=49\",\"Find(1)=0, Find(2)=2, Add (1,2)=78 Succeeded, w=127\",\"Find(1)=0, Find(3)=3, Add (1,3)=86 Succeeded, w=213\",\"Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=213\",\"Find(3)=0, Find(4)=4, Add (3,4)=100 Succeeded, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,100],[1,2,78],[1,3,86],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=49,(1,2)=78,(1,3)=86,(0,2)=100,(3,4)=100]\",\"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: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=78 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=86 Succeeded, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=100 Failed, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=100 Succeeded, w=313\"],\"Answer\":313}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,10],[0,3,43],[0,5,73],[0,7,84],[1,2,68],[1,3,24],[1,5,100],[1,6,67],[1,7,29],[2,5,43],[2,6,91],[2,7,8],[3,4,9],[3,6,90],[4,5,16],[4,6,11],[4,7,78],[5,6,42],[5,7,17],[6,7,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,10],[0,3,43],[0,5,73],[0,7,84],[1,2,68],[1,3,24],[1,5,100],[1,6,67],[1,7,29],[2,5,43],[2,6,91],[2,7,8],[3,4,9],[3,6,90],[4,5,16],[4,6,11],[4,7,78],[5,6,42],[5,7,17],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,10],[0,3,43],[0,5,73],[0,7,84],[1,2,68],[1,3,24],[1,5,100],[1,6,67],[1,7,29],[2,5,43],[2,6,91],[2,7,8],[3,4,9],[3,6,90],[4,5,16],[4,6,11],[4,7,78],[5,6,42],[5,7,17],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (5,7)\",\"Add (1,3)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,10],[0,3,43],[0,5,73],[0,7,84],[1,2,68],[1,3,24],[1,5,100],[1,6,67],[1,7,29],[2,5,43],[2,6,91],[2,7,8],[3,4,9],[3,6,90],[4,5,16],[4,6,11],[4,7,78],[5,6,42],[5,7,17],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=8, w=8\",\"Add (3,4)=9, w=17\",\"Add (0,2)=10, w=27\",\"Add (4,6)=11, w=38\",\"Add (4,5)=16, w=54\",\"Add (5,7)=17, w=71\",\"Add (1,3)=24, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,10],[0,3,43],[0,5,73],[0,7,84],[1,2,68],[1,3,24],[1,5,100],[1,6,67],[1,7,29],[2,5,43],[2,6,91],[2,7,8],[3,4,9],[3,6,90],[4,5,16],[4,6,11],[4,7,78],[5,6,42],[5,7,17],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=8 Succeeded, w=8\",\"Add (3,4)=9 Succeeded, w=17\",\"Add (0,2)=10 Succeeded, w=27\",\"Add (4,6)=11 Succeeded, w=38\",\"Add (4,5)=16 Succeeded, w=54\",\"Add (5,7)=17 Succeeded, w=71\",\"Add (1,3)=24 Succeeded, w=95\",\"Add (1,7)=29 Failed, w=95\",\"Add (0,1)=34 Failed, w=95\",\"Add (6,7)=35 Failed, w=95\",\"Add (5,6)=42 Failed, w=95\",\"Add (0,3)=43 Failed, w=95\",\"Add (2,5)=43 Failed, w=95\",\"Add (1,6)=67 Failed, w=95\",\"Add (1,2)=68 Failed, w=95\",\"Add (0,5)=73 Failed, w=95\",\"Add (4,7)=78 Failed, w=95\",\"Add (0,7)=84 Failed, w=95\",\"Add (3,6)=90 Failed, w=95\",\"Add (2,6)=91 Failed, w=95\",\"Add (1,5)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,10],[0,3,43],[0,5,73],[0,7,84],[1,2,68],[1,3,24],[1,5,100],[1,6,67],[1,7,29],[2,5,43],[2,6,91],[2,7,8],[3,4,9],[3,6,90],[4,5,16],[4,6,11],[4,7,78],[5,6,42],[5,7,17],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=8,(3,4)=9,(0,2)=10,(4,6)=11,(4,5)=16,(5,7)=17,(1,3)=24,(1,7)=29,(0,1)=34,(6,7)=35,(5,6)=42,(0,3)=43,(2,5)=43,(1,6)=67,(1,2)=68,(0,5)=73,(4,7)=78,(0,7)=84,(3,6)=90,(2,6)=91,(1,5)=100]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=8\",\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=27\",\"Find(4)=3, Find(6)=6, Add (4,6)=11 Succeeded, w=38\",\"Find(4)=3, Find(5)=5, Add (4,5)=16 Succeeded, w=54\",\"Find(5)=3, Find(7)=2, Add (5,7)=17 Succeeded, w=71\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=95\",\"Find(1)=3, Find(7)=3, Add (1,7)=29 Failed, w=95\",\"Find(0)=3, Find(1)=3, Add (0,1)=34 Failed, w=95\",\"Find(6)=3, Find(7)=3, Add (6,7)=35 Failed, w=95\",\"Find(5)=3, Find(6)=3, Add (5,6)=42 Failed, w=95\",\"Find(0)=3, Find(3)=3, Add (0,3)=43 Failed, w=95\",\"Find(2)=3, Find(5)=3, Add (2,5)=43 Failed, w=95\",\"Find(1)=3, Find(6)=3, Add (1,6)=67 Failed, w=95\",\"Find(1)=3, Find(2)=3, Add (1,2)=68 Failed, w=95\",\"Find(0)=3, Find(5)=3, Add (0,5)=73 Failed, w=95\",\"Find(4)=3, Find(7)=3, Add (4,7)=78 Failed, w=95\",\"Find(0)=3, Find(7)=3, Add (0,7)=84 Failed, w=95\",\"Find(3)=3, Find(6)=3, Add (3,6)=90 Failed, w=95\",\"Find(2)=3, Find(6)=3, Add (2,6)=91 Failed, w=95\",\"Find(1)=3, Find(5)=3, Add (1,5)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,10],[0,3,43],[0,5,73],[0,7,84],[1,2,68],[1,3,24],[1,5,100],[1,6,67],[1,7,29],[2,5,43],[2,6,91],[2,7,8],[3,4,9],[3,6,90],[4,5,16],[4,6,11],[4,7,78],[5,6,42],[5,7,17],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=8,(3,4)=9,(0,2)=10,(4,6)=11,(4,5)=16,(5,7)=17,(1,3)=24,(1,7)=29,(0,1)=34,(6,7)=35,(5,6)=42,(0,3)=43,(2,5)=43,(1,6)=67,(1,2)=68,(0,5)=73,(4,7)=78,(0,7)=84,(3,6)=90,(2,6)=91,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 2}, Find(4)=3, Find(6)=6, Add (4,6)=11 Succeeded, w=38\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(4)=3, Find(5)=5, Add (4,5)=16 Succeeded, w=54\",\"Parent: {0: 2, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(5)=3, Find(7)=2, Add (5,7)=17 Succeeded, w=71\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 2}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=95\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=29 Failed, w=95\",\"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)=34 Failed, w=95\",\"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)=35 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=42 Failed, w=95\",\"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)=43 Failed, w=95\",\"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)=43 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=67 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=68 Failed, w=95\",\"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)=73 Failed, w=95\",\"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)=78 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=84 Failed, w=95\",\"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)=90 Failed, w=95\",\"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)=91 Failed, w=95\",\"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)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,15],[1,2,43],[1,3,29],[1,4,47],[1,5,3],[2,3,49],[3,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,15],[1,2,43],[1,3,29],[1,4,47],[1,5,3],[2,3,49],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,15],[1,2,43],[1,3,29],[1,4,47],[1,5,3],[2,3,49],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,15],[1,2,43],[1,3,29],[1,4,47],[1,5,3],[2,3,49],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (0,3)=15, w=18\",\"Add (1,3)=29, w=47\",\"Add (1,2)=43, w=90\",\"Add (1,4)=47, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,15],[1,2,43],[1,3,29],[1,4,47],[1,5,3],[2,3,49],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (0,3)=15 Succeeded, w=18\",\"Add (1,3)=29 Succeeded, w=47\",\"Add (1,2)=43 Succeeded, w=90\",\"Add (1,4)=47 Succeeded, w=137\",\"Add (2,3)=49 Failed, w=137\",\"Add (3,4)=100 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,15],[1,2,43],[1,3,29],[1,4,47],[1,5,3],[2,3,49],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,3)=15,(1,3)=29,(1,2)=43,(1,4)=47,(2,3)=49,(3,4)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=18\",\"Find(1)=1, Find(3)=0, Add (1,3)=29 Succeeded, w=47\",\"Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=90\",\"Find(1)=1, Find(4)=4, Add (1,4)=47 Succeeded, w=137\",\"Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=137\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,15],[1,2,43],[1,3,29],[1,4,47],[1,5,3],[2,3,49],[3,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(0,3)=15,(1,3)=29,(1,2)=43,(1,4)=47,(2,3)=49,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(3)=0, Add (1,3)=29 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=47 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,32],[0,2,94],[0,3,68],[1,2,73],[1,3,4],[2,3,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,94],[0,3,68],[1,2,73],[1,3,4],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,94],[0,3,68],[1,2,73],[1,3,4],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,94],[0,3,68],[1,2,73],[1,3,4],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (0,1)=32, w=36\",\"Add (2,3)=56, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,94],[0,3,68],[1,2,73],[1,3,4],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (0,1)=32 Succeeded, w=36\",\"Add (2,3)=56 Succeeded, w=92\",\"Add (0,3)=68 Failed, w=92\",\"Add (1,2)=73 Failed, w=92\",\"Add (0,2)=94 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,94],[0,3,68],[1,2,73],[1,3,4],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=32,(2,3)=56,(0,3)=68,(1,2)=73,(0,2)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=36\",\"Find(2)=2, Find(3)=1, Add (2,3)=56 Succeeded, w=92\",\"Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=92\",\"Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=92\",\"Find(0)=1, Find(2)=1, Add (0,2)=94 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,94],[0,3,68],[1,2,73],[1,3,4],[2,3,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(0,1)=32,(2,3)=56,(0,3)=68,(1,2)=73,(0,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=56 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=94 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,77],[0,2,12],[0,4,72],[0,5,100],[1,3,20],[1,4,55],[1,5,90],[3,4,33],[3,5,50],[4,5,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,12],[0,4,72],[0,5,100],[1,3,20],[1,4,55],[1,5,90],[3,4,33],[3,5,50],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,12],[0,4,72],[0,5,100],[1,3,20],[1,4,55],[1,5,90],[3,4,33],[3,5,50],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,12],[0,4,72],[0,5,100],[1,3,20],[1,4,55],[1,5,90],[3,4,33],[3,5,50],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (1,3)=20, w=32\",\"Add (3,4)=33, w=65\",\"Add (4,5)=45, w=110\",\"Add (0,4)=72, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,12],[0,4,72],[0,5,100],[1,3,20],[1,4,55],[1,5,90],[3,4,33],[3,5,50],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (1,3)=20 Succeeded, w=32\",\"Add (3,4)=33 Succeeded, w=65\",\"Add (4,5)=45 Succeeded, w=110\",\"Add (3,5)=50 Failed, w=110\",\"Add (1,4)=55 Failed, w=110\",\"Add (0,4)=72 Succeeded, w=182\",\"Add (0,1)=77 Failed, w=182\",\"Add (1,5)=90 Failed, w=182\",\"Add (0,5)=100 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,12],[0,4,72],[0,5,100],[1,3,20],[1,4,55],[1,5,90],[3,4,33],[3,5,50],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,3)=20,(3,4)=33,(4,5)=45,(3,5)=50,(1,4)=55,(0,4)=72,(0,1)=77,(1,5)=90,(0,5)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=32\",\"Find(3)=1, Find(4)=4, Add (3,4)=33 Succeeded, w=65\",\"Find(4)=1, Find(5)=5, Add (4,5)=45 Succeeded, w=110\",\"Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=110\",\"Find(1)=1, Find(4)=1, Add (1,4)=55 Failed, w=110\",\"Find(0)=0, Find(4)=1, Add (0,4)=72 Succeeded, w=182\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=182\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=182\",\"Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,2,12],[0,4,72],[0,5,100],[1,3,20],[1,4,55],[1,5,90],[3,4,33],[3,5,50],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(1,3)=20,(3,4)=33,(4,5)=45,(3,5)=50,(1,4)=55,(0,4)=72,(0,1)=77,(1,5)=90,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=33 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=45 Succeeded, w=110\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=50 Failed, w=110\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=55 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=72 Succeeded, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=100 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,49],[0,2,22],[0,3,26],[0,4,92],[0,5,35],[1,2,89],[1,3,20],[1,4,78],[2,3,97],[2,4,17],[2,5,94],[3,5,85],[4,5,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,22],[0,3,26],[0,4,92],[0,5,35],[1,2,89],[1,3,20],[1,4,78],[2,3,97],[2,4,17],[2,5,94],[3,5,85],[4,5,35]]}",
"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],\"edges\":[[0,1,49],[0,2,22],[0,3,26],[0,4,92],[0,5,35],[1,2,89],[1,3,20],[1,4,78],[2,3,97],[2,4,17],[2,5,94],[3,5,85],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,22],[0,3,26],[0,4,92],[0,5,35],[1,2,89],[1,3,20],[1,4,78],[2,3,97],[2,4,17],[2,5,94],[3,5,85],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=17, w=17\",\"Add (1,3)=20, w=37\",\"Add (0,2)=22, w=59\",\"Add (0,3)=26, w=85\",\"Add (0,5)=35, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,22],[0,3,26],[0,4,92],[0,5,35],[1,2,89],[1,3,20],[1,4,78],[2,3,97],[2,4,17],[2,5,94],[3,5,85],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=17 Succeeded, w=17\",\"Add (1,3)=20 Succeeded, w=37\",\"Add (0,2)=22 Succeeded, w=59\",\"Add (0,3)=26 Succeeded, w=85\",\"Add (0,5)=35 Succeeded, w=120\",\"Add (4,5)=35 Failed, w=120\",\"Add (0,1)=49 Failed, w=120\",\"Add (1,4)=78 Failed, w=120\",\"Add (3,5)=85 Failed, w=120\",\"Add (1,2)=89 Failed, w=120\",\"Add (0,4)=92 Failed, w=120\",\"Add (2,5)=94 Failed, w=120\",\"Add (2,3)=97 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],\"edges\":[[0,1,49],[0,2,22],[0,3,26],[0,4,92],[0,5,35],[1,2,89],[1,3,20],[1,4,78],[2,3,97],[2,4,17],[2,5,94],[3,5,85],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=17,(1,3)=20,(0,2)=22,(0,3)=26,(0,5)=35,(4,5)=35,(0,1)=49,(1,4)=78,(3,5)=85,(1,2)=89,(0,4)=92,(2,5)=94,(2,3)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=37\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=59\",\"Find(0)=2, Find(3)=1, Add (0,3)=26 Succeeded, w=85\",\"Find(0)=2, Find(5)=5, Add (0,5)=35 Succeeded, w=120\",\"Find(4)=2, Find(5)=2, Add (4,5)=35 Failed, w=120\",\"Find(0)=2, Find(1)=2, Add (0,1)=49 Failed, w=120\",\"Find(1)=2, Find(4)=2, Add (1,4)=78 Failed, w=120\",\"Find(3)=2, Find(5)=2, Add (3,5)=85 Failed, w=120\",\"Find(1)=2, Find(2)=2, Add (1,2)=89 Failed, w=120\",\"Find(0)=2, Find(4)=2, Add (0,4)=92 Failed, w=120\",\"Find(2)=2, Find(5)=2, Add (2,5)=94 Failed, w=120\",\"Find(2)=2, Find(3)=2, Add (2,3)=97 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],\"edges\":[[0,1,49],[0,2,22],[0,3,26],[0,4,92],[0,5,35],[1,2,89],[1,3,20],[1,4,78],[2,3,97],[2,4,17],[2,5,94],[3,5,85],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=17,(1,3)=20,(0,2)=22,(0,3)=26,(0,5)=35,(4,5)=35,(0,1)=49,(1,4)=78,(3,5)=85,(1,2)=89,(0,4)=92,(2,5)=94,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=37\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5}, Find(0)=2, Find(3)=1, Add (0,3)=26 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(5)=5, Add (0,5)=35 Succeeded, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=35 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=49 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=78 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=85 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=89 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=92 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=94 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=97 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,4,91],[0,5,54],[1,3,76],[1,4,27],[1,5,60],[2,3,52],[3,5,11],[4,5,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,4,91],[0,5,54],[1,3,76],[1,4,27],[1,5,60],[2,3,52],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,4,91],[0,5,54],[1,3,76],[1,4,27],[1,5,60],[2,3,52],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,5)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,4,91],[0,5,54],[1,3,76],[1,4,27],[1,5,60],[2,3,52],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11, w=11\",\"Add (1,4)=27, w=38\",\"Add (0,1)=41, w=79\",\"Add (2,3)=52, w=131\",\"Add (0,5)=54, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,4,91],[0,5,54],[1,3,76],[1,4,27],[1,5,60],[2,3,52],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11 Succeeded, w=11\",\"Add (1,4)=27 Succeeded, w=38\",\"Add (0,1)=41 Succeeded, w=79\",\"Add (2,3)=52 Succeeded, w=131\",\"Add (0,5)=54 Succeeded, w=185\",\"Add (4,5)=58 Failed, w=185\",\"Add (1,5)=60 Failed, w=185\",\"Add (1,3)=76 Failed, w=185\",\"Add (0,4)=91 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,4,91],[0,5,54],[1,3,76],[1,4,27],[1,5,60],[2,3,52],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(1,4)=27,(0,1)=41,(2,3)=52,(0,5)=54,(4,5)=58,(1,5)=60,(1,3)=76,(0,4)=91]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=38\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=79\",\"Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=131\",\"Find(0)=1, Find(5)=3, Add (0,5)=54 Succeeded, w=185\",\"Find(4)=1, Find(5)=1, Add (4,5)=58 Failed, w=185\",\"Find(1)=1, Find(5)=1, Add (1,5)=60 Failed, w=185\",\"Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=185\",\"Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,4,91],[0,5,54],[1,3,76],[1,4,27],[1,5,60],[2,3,52],[3,5,11],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(1,4)=27,(0,1)=41,(2,3)=52,(0,5)=54,(4,5)=58,(1,5)=60,(1,3)=76,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=131\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(5)=3, Add (0,5)=54 Succeeded, w=185\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=58 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=60 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 3, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,54],[0,7,92],[1,2,42],[1,4,88],[1,7,58],[2,3,26],[4,5,88],[4,6,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,54],[0,7,92],[1,2,42],[1,4,88],[1,7,58],[2,3,26],[4,5,88],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,54],[0,7,92],[1,2,42],[1,4,88],[1,7,58],[2,3,26],[4,5,88],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (1,7)\",\"Add (1,4)\",\"Add (4,5)\"],\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,54],[0,7,92],[1,2,42],[1,4,88],[1,7,58],[2,3,26],[4,5,88],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=25, w=25\",\"Add (2,3)=26, w=51\",\"Add (1,2)=42, w=93\",\"Add (0,4)=54, w=147\",\"Add (1,7)=58, w=205\",\"Add (1,4)=88, w=293\",\"Add (4,5)=88, w=381\"],\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,54],[0,7,92],[1,2,42],[1,4,88],[1,7,58],[2,3,26],[4,5,88],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=25 Succeeded, w=25\",\"Add (2,3)=26 Succeeded, w=51\",\"Add (1,2)=42 Succeeded, w=93\",\"Add (0,4)=54 Succeeded, w=147\",\"Add (1,7)=58 Succeeded, w=205\",\"Add (1,4)=88 Succeeded, w=293\",\"Add (4,5)=88 Succeeded, w=381\",\"Add (0,7)=92 Failed, w=381\"],\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,54],[0,7,92],[1,2,42],[1,4,88],[1,7,58],[2,3,26],[4,5,88],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=25,(2,3)=26,(1,2)=42,(0,4)=54,(1,7)=58,(1,4)=88,(4,5)=88,(0,7)=92]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=25 Succeeded, w=25\",\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=51\",\"Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=93\",\"Find(0)=0, Find(4)=4, Add (0,4)=54 Succeeded, w=147\",\"Find(1)=2, Find(7)=7, Add (1,7)=58 Succeeded, w=205\",\"Find(1)=2, Find(4)=4, Add (1,4)=88 Succeeded, w=293\",\"Find(4)=2, Find(5)=5, Add (4,5)=88 Succeeded, w=381\",\"Find(0)=2, Find(7)=2, Add (0,7)=92 Failed, w=381\"],\"Answer\":381}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,54],[0,7,92],[1,2,42],[1,4,88],[1,7,58],[2,3,26],[4,5,88],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=25,(2,3)=26,(1,2)=42,(0,4)=54,(1,7)=58,(1,4)=88,(4,5)=88,(0,7)=92]\",\"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)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=93\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=54 Succeeded, w=147\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4, 7: 2}, Find(1)=2, Find(7)=7, Add (1,7)=58 Succeeded, w=205\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 4, 7: 2}, Find(1)=2, Find(4)=4, Add (1,4)=88 Succeeded, w=293\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(4)=2, Find(5)=5, Add (4,5)=88 Succeeded, w=381\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=92 Failed, w=381\"],\"Answer\":381}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,31],[0,2,0],[0,3,55],[1,2,90],[1,3,14],[2,3,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,0],[0,3,55],[1,2,90],[1,3,14],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,0],[0,3,55],[1,2,90],[1,3,14],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,0],[0,3,55],[1,2,90],[1,3,14],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (1,3)=14, w=14\",\"Add (2,3)=15, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,0],[0,3,55],[1,2,90],[1,3,14],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (1,3)=14 Succeeded, w=14\",\"Add (2,3)=15 Succeeded, w=29\",\"Add (0,1)=31 Failed, w=29\",\"Add (0,3)=55 Failed, w=29\",\"Add (1,2)=90 Failed, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,0],[0,3,55],[1,2,90],[1,3,14],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,3)=14,(2,3)=15,(0,1)=31,(0,3)=55,(1,2)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(2)=0, Find(3)=1, Add (2,3)=15 Succeeded, w=29\",\"Find(0)=0, Find(1)=0, Add (0,1)=31 Failed, w=29\",\"Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=29\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,2,0],[0,3,55],[1,2,90],[1,3,14],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(1,3)=14,(2,3)=15,(0,1)=31,(0,3)=55,(1,2)=90]\",\"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: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(2)=0, Find(3)=1, Add (2,3)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=31 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=29\"],\"Answer\":29}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,98],[0,3,25],[0,4,89],[0,6,10],[1,2,5],[1,4,25],[1,5,75],[1,6,31],[2,3,58],[2,4,11],[2,6,62],[3,4,67],[4,5,95],[5,6,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,25],[0,4,89],[0,6,10],[1,2,5],[1,4,25],[1,5,75],[1,6,31],[2,3,58],[2,4,11],[2,6,62],[3,4,67],[4,5,95],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,25],[0,4,89],[0,6,10],[1,2,5],[1,4,25],[1,5,75],[1,6,31],[2,3,58],[2,4,11],[2,6,62],[3,4,67],[4,5,95],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,6)\"],\"Answer\":92}",
"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],[0,3,25],[0,4,89],[0,6,10],[1,2,5],[1,4,25],[1,5,75],[1,6,31],[2,3,58],[2,4,11],[2,6,62],[3,4,67],[4,5,95],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (0,6)=10, w=15\",\"Add (5,6)=10, w=25\",\"Add (2,4)=11, w=36\",\"Add (0,3)=25, w=61\",\"Add (1,6)=31, w=92\"],\"Answer\":92}",
"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],[0,3,25],[0,4,89],[0,6,10],[1,2,5],[1,4,25],[1,5,75],[1,6,31],[2,3,58],[2,4,11],[2,6,62],[3,4,67],[4,5,95],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (0,6)=10 Succeeded, w=15\",\"Add (5,6)=10 Succeeded, w=25\",\"Add (2,4)=11 Succeeded, w=36\",\"Add (0,3)=25 Succeeded, w=61\",\"Add (1,4)=25 Failed, w=61\",\"Add (1,6)=31 Succeeded, w=92\",\"Add (2,3)=58 Failed, w=92\",\"Add (2,6)=62 Failed, w=92\",\"Add (3,4)=67 Failed, w=92\",\"Add (1,5)=75 Failed, w=92\",\"Add (0,4)=89 Failed, w=92\",\"Add (4,5)=95 Failed, w=92\",\"Add (0,2)=98 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,25],[0,4,89],[0,6,10],[1,2,5],[1,4,25],[1,5,75],[1,6,31],[2,3,58],[2,4,11],[2,6,62],[3,4,67],[4,5,95],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,6)=10,(5,6)=10,(2,4)=11,(0,3)=25,(1,4)=25,(1,6)=31,(2,3)=58,(2,6)=62,(3,4)=67,(1,5)=75,(0,4)=89,(4,5)=95,(0,2)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=15\",\"Find(5)=5, Find(6)=0, Add (5,6)=10 Succeeded, w=25\",\"Find(2)=1, Find(4)=4, Add (2,4)=11 Succeeded, w=36\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=61\",\"Find(1)=1, Find(4)=1, Add (1,4)=25 Failed, w=61\",\"Find(1)=1, Find(6)=0, Add (1,6)=31 Succeeded, w=92\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=92\",\"Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=92\",\"Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=92\",\"Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=92\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=92\",\"Find(4)=1, Find(5)=1, Add (4,5)=95 Failed, w=92\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,25],[0,4,89],[0,6,10],[1,2,5],[1,4,25],[1,5,75],[1,6,31],[2,3,58],[2,4,11],[2,6,62],[3,4,67],[4,5,95],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,6)=10,(5,6)=10,(2,4)=11,(0,3)=25,(1,4)=25,(1,6)=31,(2,3)=58,(2,6)=62,(3,4)=67,(1,5)=75,(0,4)=89,(4,5)=95,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=10 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 0}, Find(2)=1, Find(4)=4, Add (2,4)=11 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=1, Find(4)=1, Add (1,4)=25 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=31 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0}, Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=62 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=67 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=95 Failed, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,86],[0,4,38],[0,5,11],[0,6,5],[1,4,49],[1,5,77],[2,4,25],[3,4,72],[3,5,13],[3,6,55],[4,6,36],[5,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,86],[0,4,38],[0,5,11],[0,6,5],[1,4,49],[1,5,77],[2,4,25],[3,4,72],[3,5,13],[3,6,55],[4,6,36],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,86],[0,4,38],[0,5,11],[0,6,5],[1,4,49],[1,5,77],[2,4,25],[3,4,72],[3,5,13],[3,6,55],[4,6,36],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (4,6)\",\"Add (1,4)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,86],[0,4,38],[0,5,11],[0,6,5],[1,4,49],[1,5,77],[2,4,25],[3,4,72],[3,5,13],[3,6,55],[4,6,36],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=5, w=5\",\"Add (0,5)=11, w=16\",\"Add (3,5)=13, w=29\",\"Add (2,4)=25, w=54\",\"Add (4,6)=36, w=90\",\"Add (1,4)=49, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,86],[0,4,38],[0,5,11],[0,6,5],[1,4,49],[1,5,77],[2,4,25],[3,4,72],[3,5,13],[3,6,55],[4,6,36],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=5 Succeeded, w=5\",\"Add (0,5)=11 Succeeded, w=16\",\"Add (3,5)=13 Succeeded, w=29\",\"Add (5,6)=19 Failed, w=29\",\"Add (2,4)=25 Succeeded, w=54\",\"Add (4,6)=36 Succeeded, w=90\",\"Add (0,4)=38 Failed, w=90\",\"Add (1,4)=49 Succeeded, w=139\",\"Add (3,6)=55 Failed, w=139\",\"Add (3,4)=72 Failed, w=139\",\"Add (1,5)=77 Failed, w=139\",\"Add (0,3)=86 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,86],[0,4,38],[0,5,11],[0,6,5],[1,4,49],[1,5,77],[2,4,25],[3,4,72],[3,5,13],[3,6,55],[4,6,36],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=5,(0,5)=11,(3,5)=13,(5,6)=19,(2,4)=25,(4,6)=36,(0,4)=38,(1,4)=49,(3,6)=55,(3,4)=72,(1,5)=77,(0,3)=86]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=16\",\"Find(3)=3, Find(5)=0, Add (3,5)=13 Succeeded, w=29\",\"Find(5)=0, Find(6)=0, Add (5,6)=19 Failed, w=29\",\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=54\",\"Find(4)=2, Find(6)=0, Add (4,6)=36 Succeeded, w=90\",\"Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=90\",\"Find(1)=1, Find(4)=2, Add (1,4)=49 Succeeded, w=139\",\"Find(3)=2, Find(6)=2, Add (3,6)=55 Failed, w=139\",\"Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=139\",\"Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=139\",\"Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,86],[0,4,38],[0,5,11],[0,6,5],[1,4,49],[1,5,77],[2,4,25],[3,4,72],[3,5,13],[3,6,55],[4,6,36],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=5,(0,5)=11,(3,5)=13,(5,6)=19,(2,4)=25,(4,6)=36,(0,4)=38,(1,4)=49,(3,6)=55,(3,4)=72,(1,5)=77,(0,3)=86]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=3, Find(5)=0, Add (3,5)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=19 Failed, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(4)=2, Find(6)=0, Add (4,6)=36 Succeeded, w=90\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(0)=2, Find(4)=2, Add (0,4)=38 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0, 6: 0}, Find(1)=1, Find(4)=2, Add (1,4)=49 Succeeded, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=55 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[2,3,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=80, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=80 Succeeded, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=80]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=80 Succeeded, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=80 Succeeded, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,56],[0,2,97],[1,2,47],[1,3,50],[1,4,53],[1,5,73],[2,3,96],[2,4,32],[3,4,80],[4,5,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,97],[1,2,47],[1,3,50],[1,4,53],[1,5,73],[2,3,96],[2,4,32],[3,4,80],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,97],[1,2,47],[1,3,50],[1,4,53],[1,5,73],[2,3,96],[2,4,32],[3,4,80],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (4,5)\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,97],[1,2,47],[1,3,50],[1,4,53],[1,5,73],[2,3,96],[2,4,32],[3,4,80],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=32, w=32\",\"Add (1,2)=47, w=79\",\"Add (1,3)=50, w=129\",\"Add (0,1)=56, w=185\",\"Add (4,5)=61, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,97],[1,2,47],[1,3,50],[1,4,53],[1,5,73],[2,3,96],[2,4,32],[3,4,80],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=32 Succeeded, w=32\",\"Add (1,2)=47 Succeeded, w=79\",\"Add (1,3)=50 Succeeded, w=129\",\"Add (1,4)=53 Failed, w=129\",\"Add (0,1)=56 Succeeded, w=185\",\"Add (4,5)=61 Succeeded, w=246\",\"Add (1,5)=73 Failed, w=246\",\"Add (3,4)=80 Failed, w=246\",\"Add (2,3)=96 Failed, w=246\",\"Add (0,2)=97 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,97],[1,2,47],[1,3,50],[1,4,53],[1,5,73],[2,3,96],[2,4,32],[3,4,80],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=32,(1,2)=47,(1,3)=50,(1,4)=53,(0,1)=56,(4,5)=61,(1,5)=73,(3,4)=80,(2,3)=96,(0,2)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=32\",\"Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=79\",\"Find(1)=2, Find(3)=3, Add (1,3)=50 Succeeded, w=129\",\"Find(1)=2, Find(4)=2, Add (1,4)=53 Failed, w=129\",\"Find(0)=0, Find(1)=2, Add (0,1)=56 Succeeded, w=185\",\"Find(4)=2, Find(5)=5, Add (4,5)=61 Succeeded, w=246\",\"Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=246\",\"Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=246\",\"Find(2)=2, Find(3)=2, Add (2,3)=96 Failed, w=246\",\"Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,56],[0,2,97],[1,2,47],[1,3,50],[1,4,53],[1,5,73],[2,3,96],[2,4,32],[3,4,80],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=32,(1,2)=47,(1,3)=50,(1,4)=53,(0,1)=56,(4,5)=61,(1,5)=73,(3,4)=80,(2,3)=96,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=47 Succeeded, w=79\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=2, Find(3)=3, Add (1,3)=50 Succeeded, w=129\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=2, Find(4)=2, Add (1,4)=53 Failed, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=0, Find(1)=2, Add (0,1)=56 Succeeded, w=185\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=61 Succeeded, w=246\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=246\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=246\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=96 Failed, w=246\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=246\"],\"Answer\":246}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,47],[0,4,72],[0,6,54],[1,2,57],[1,3,80],[1,5,23],[1,6,44],[2,3,56],[2,4,0],[2,6,12],[3,4,59],[4,5,20],[4,6,56],[5,6,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,47],[0,4,72],[0,6,54],[1,2,57],[1,3,80],[1,5,23],[1,6,44],[2,3,56],[2,4,0],[2,6,12],[3,4,59],[4,5,20],[4,6,56],[5,6,71]]}",
"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],\"edges\":[[0,2,47],[0,4,72],[0,6,54],[1,2,57],[1,3,80],[1,5,23],[1,6,44],[2,3,56],[2,4,0],[2,6,12],[3,4,59],[4,5,20],[4,6,56],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,47],[0,4,72],[0,6,54],[1,2,57],[1,3,80],[1,5,23],[1,6,44],[2,3,56],[2,4,0],[2,6,12],[3,4,59],[4,5,20],[4,6,56],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (2,6)=12, w=12\",\"Add (4,5)=20, w=32\",\"Add (1,5)=23, w=55\",\"Add (0,2)=47, w=102\",\"Add (2,3)=56, 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],\"edges\":[[0,2,47],[0,4,72],[0,6,54],[1,2,57],[1,3,80],[1,5,23],[1,6,44],[2,3,56],[2,4,0],[2,6,12],[3,4,59],[4,5,20],[4,6,56],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (2,6)=12 Succeeded, w=12\",\"Add (4,5)=20 Succeeded, w=32\",\"Add (1,5)=23 Succeeded, w=55\",\"Add (1,6)=44 Failed, w=55\",\"Add (0,2)=47 Succeeded, w=102\",\"Add (0,6)=54 Failed, w=102\",\"Add (2,3)=56 Succeeded, w=158\",\"Add (4,6)=56 Failed, w=158\",\"Add (1,2)=57 Failed, w=158\",\"Add (3,4)=59 Failed, w=158\",\"Add (5,6)=71 Failed, w=158\",\"Add (0,4)=72 Failed, w=158\",\"Add (1,3)=80 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],\"edges\":[[0,2,47],[0,4,72],[0,6,54],[1,2,57],[1,3,80],[1,5,23],[1,6,44],[2,3,56],[2,4,0],[2,6,12],[3,4,59],[4,5,20],[4,6,56],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(2,6)=12,(4,5)=20,(1,5)=23,(1,6)=44,(0,2)=47,(0,6)=54,(2,3)=56,(4,6)=56,(1,2)=57,(3,4)=59,(5,6)=71,(0,4)=72,(1,3)=80]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=12\",\"Find(4)=2, Find(5)=5, Add (4,5)=20 Succeeded, w=32\",\"Find(1)=1, Find(5)=2, Add (1,5)=23 Succeeded, w=55\",\"Find(1)=2, Find(6)=2, Add (1,6)=44 Failed, w=55\",\"Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=102\",\"Find(0)=2, Find(6)=2, Add (0,6)=54 Failed, w=102\",\"Find(2)=2, Find(3)=3, Add (2,3)=56 Succeeded, w=158\",\"Find(4)=2, Find(6)=2, Add (4,6)=56 Failed, w=158\",\"Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=158\",\"Find(3)=2, Find(4)=2, Add (3,4)=59 Failed, w=158\",\"Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=158\",\"Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=158\",\"Find(1)=2, Find(3)=2, Add (1,3)=80 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],\"edges\":[[0,2,47],[0,4,72],[0,6,54],[1,2,57],[1,3,80],[1,5,23],[1,6,44],[2,3,56],[2,4,0],[2,6,12],[3,4,59],[4,5,20],[4,6,56],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(2,6)=12,(4,5)=20,(1,5)=23,(1,6)=44,(0,2)=47,(0,6)=54,(2,3)=56,(4,6)=56,(1,2)=57,(3,4)=59,(5,6)=71,(0,4)=72,(1,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=5, Add (4,5)=20 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(5)=2, Add (1,5)=23 Succeeded, w=55\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=44 Failed, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=47 Succeeded, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=54 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=56 Succeeded, w=158\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=56 Failed, w=158\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=57 Failed, w=158\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=59 Failed, w=158\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=71 Failed, w=158\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=158\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=80 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,6,90],[1,3,46],[1,4,16],[1,5,25],[2,5,69],[2,6,85],[2,7,10],[3,4,56],[3,5,44],[3,6,47],[4,5,40],[4,6,9],[4,7,62],[5,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,6,90],[1,3,46],[1,4,16],[1,5,25],[2,5,69],[2,6,85],[2,7,10],[3,4,56],[3,5,44],[3,6,47],[4,5,40],[4,6,9],[4,7,62],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,6,90],[1,3,46],[1,4,16],[1,5,25],[2,5,69],[2,6,85],[2,7,10],[3,4,56],[3,5,44],[3,6,47],[4,5,40],[4,6,9],[4,7,62],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,7)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (4,7)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,6,90],[1,3,46],[1,4,16],[1,5,25],[2,5,69],[2,6,85],[2,7,10],[3,4,56],[3,5,44],[3,6,47],[4,5,40],[4,6,9],[4,7,62],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=9, w=9\",\"Add (2,7)=10, w=19\",\"Add (1,4)=16, w=35\",\"Add (1,5)=25, w=60\",\"Add (0,1)=41, w=101\",\"Add (3,5)=44, w=145\",\"Add (4,7)=62, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,6,90],[1,3,46],[1,4,16],[1,5,25],[2,5,69],[2,6,85],[2,7,10],[3,4,56],[3,5,44],[3,6,47],[4,5,40],[4,6,9],[4,7,62],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=9 Succeeded, w=9\",\"Add (2,7)=10 Succeeded, w=19\",\"Add (1,4)=16 Succeeded, w=35\",\"Add (1,5)=25 Succeeded, w=60\",\"Add (4,5)=40 Failed, w=60\",\"Add (0,1)=41 Succeeded, w=101\",\"Add (3,5)=44 Succeeded, w=145\",\"Add (1,3)=46 Failed, w=145\",\"Add (3,6)=47 Failed, w=145\",\"Add (3,4)=56 Failed, w=145\",\"Add (4,7)=62 Succeeded, w=207\",\"Add (2,5)=69 Failed, w=207\",\"Add (5,6)=82 Failed, w=207\",\"Add (2,6)=85 Failed, w=207\",\"Add (0,6)=90 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,6,90],[1,3,46],[1,4,16],[1,5,25],[2,5,69],[2,6,85],[2,7,10],[3,4,56],[3,5,44],[3,6,47],[4,5,40],[4,6,9],[4,7,62],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=9,(2,7)=10,(1,4)=16,(1,5)=25,(4,5)=40,(0,1)=41,(3,5)=44,(1,3)=46,(3,6)=47,(3,4)=56,(4,7)=62,(2,5)=69,(5,6)=82,(2,6)=85,(0,6)=90]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=9\",\"Find(2)=2, Find(7)=7, Add (2,7)=10 Succeeded, w=19\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=35\",\"Find(1)=4, Find(5)=5, Add (1,5)=25 Succeeded, w=60\",\"Find(4)=4, Find(5)=4, Add (4,5)=40 Failed, w=60\",\"Find(0)=0, Find(1)=4, Add (0,1)=41 Succeeded, w=101\",\"Find(3)=3, Find(5)=4, Add (3,5)=44 Succeeded, w=145\",\"Find(1)=4, Find(3)=4, Add (1,3)=46 Failed, w=145\",\"Find(3)=4, Find(6)=4, Add (3,6)=47 Failed, w=145\",\"Find(3)=4, Find(4)=4, Add (3,4)=56 Failed, w=145\",\"Find(4)=4, Find(7)=2, Add (4,7)=62 Succeeded, w=207\",\"Find(2)=4, Find(5)=4, Add (2,5)=69 Failed, w=207\",\"Find(5)=4, Find(6)=4, Add (5,6)=82 Failed, w=207\",\"Find(2)=4, Find(6)=4, Add (2,6)=85 Failed, w=207\",\"Find(0)=4, Find(6)=4, Add (0,6)=90 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,6,90],[1,3,46],[1,4,16],[1,5,25],[2,5,69],[2,6,85],[2,7,10],[3,4,56],[3,5,44],[3,6,47],[4,5,40],[4,6,9],[4,7,62],[5,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=9,(2,7)=10,(1,4)=16,(1,5)=25,(4,5)=40,(0,1)=41,(3,5)=44,(1,3)=46,(3,6)=47,(3,4)=56,(4,7)=62,(2,5)=69,(5,6)=82,(2,6)=85,(0,6)=90]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 2}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=35\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 2}, Find(1)=4, Find(5)=5, Add (1,5)=25 Succeeded, w=60\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 2}, Find(4)=4, Find(5)=4, Add (4,5)=40 Failed, w=60\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4, 7: 2}, Find(0)=0, Find(1)=4, Add (0,1)=41 Succeeded, w=101\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(3)=3, Find(5)=4, Add (3,5)=44 Succeeded, w=145\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(1)=4, Find(3)=4, Add (1,3)=46 Failed, w=145\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(3)=4, Find(6)=4, Add (3,6)=47 Failed, w=145\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(3)=4, Find(4)=4, Add (3,4)=56 Failed, w=145\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(4)=4, Find(7)=2, Add (4,7)=62 Succeeded, w=207\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(2)=4, Find(5)=4, Add (2,5)=69 Failed, w=207\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(5)=4, Find(6)=4, Add (5,6)=82 Failed, w=207\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(2)=4, Find(6)=4, Add (2,6)=85 Failed, w=207\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 2}, Find(0)=4, Find(6)=4, Add (0,6)=90 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,69],[0,2,39],[0,3,3],[1,2,18],[1,3,53],[2,3,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,39],[0,3,3],[1,2,18],[1,3,53],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,39],[0,3,3],[1,2,18],[1,3,53],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,39],[0,3,3],[1,2,18],[1,3,53],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (1,2)=18, w=21\",\"Add (0,2)=39, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,39],[0,3,3],[1,2,18],[1,3,53],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,2)=18 Succeeded, w=21\",\"Add (0,2)=39 Succeeded, w=60\",\"Add (1,3)=53 Failed, w=60\",\"Add (2,3)=58 Failed, w=60\",\"Add (0,1)=69 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,39],[0,3,3],[1,2,18],[1,3,53],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,2)=18,(0,2)=39,(1,3)=53,(2,3)=58,(0,1)=69]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=21\",\"Find(0)=0, Find(2)=1, Add (0,2)=39 Succeeded, w=60\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=60\",\"Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=60\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,39],[0,3,3],[1,2,18],[1,3,53],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,2)=18,(0,2)=39,(1,3)=53,(2,3)=58,(0,1)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=39 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=60\"],\"Answer\":60}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,96],[0,2,8],[0,4,89],[0,5,0],[0,7,9],[1,2,93],[1,3,70],[1,4,26],[1,5,32],[2,4,90],[2,5,76],[2,6,91],[2,7,59],[3,6,67],[3,7,58],[4,5,91],[5,6,49],[5,7,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,8],[0,4,89],[0,5,0],[0,7,9],[1,2,93],[1,3,70],[1,4,26],[1,5,32],[2,4,90],[2,5,76],[2,6,91],[2,7,59],[3,6,67],[3,7,58],[4,5,91],[5,6,49],[5,7,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,8],[0,4,89],[0,5,0],[0,7,9],[1,2,93],[1,3,70],[1,4,26],[1,5,32],[2,4,90],[2,5,76],[2,6,91],[2,7,59],[3,6,67],[3,7,58],[4,5,91],[5,6,49],[5,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,2)\",\"Add (0,7)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (3,7)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,8],[0,4,89],[0,5,0],[0,7,9],[1,2,93],[1,3,70],[1,4,26],[1,5,32],[2,4,90],[2,5,76],[2,6,91],[2,7,59],[3,6,67],[3,7,58],[4,5,91],[5,6,49],[5,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (0,2)=8, w=8\",\"Add (0,7)=9, w=17\",\"Add (1,4)=26, w=43\",\"Add (1,5)=32, w=75\",\"Add (5,6)=49, w=124\",\"Add (3,7)=58, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,8],[0,4,89],[0,5,0],[0,7,9],[1,2,93],[1,3,70],[1,4,26],[1,5,32],[2,4,90],[2,5,76],[2,6,91],[2,7,59],[3,6,67],[3,7,58],[4,5,91],[5,6,49],[5,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (0,2)=8 Succeeded, w=8\",\"Add (0,7)=9 Succeeded, w=17\",\"Add (1,4)=26 Succeeded, w=43\",\"Add (1,5)=32 Succeeded, w=75\",\"Add (5,7)=41 Failed, w=75\",\"Add (5,6)=49 Succeeded, w=124\",\"Add (3,7)=58 Succeeded, w=182\",\"Add (2,7)=59 Failed, w=182\",\"Add (3,6)=67 Failed, w=182\",\"Add (1,3)=70 Failed, w=182\",\"Add (2,5)=76 Failed, w=182\",\"Add (0,4)=89 Failed, w=182\",\"Add (2,4)=90 Failed, w=182\",\"Add (2,6)=91 Failed, w=182\",\"Add (4,5)=91 Failed, w=182\",\"Add (1,2)=93 Failed, w=182\",\"Add (0,1)=96 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,8],[0,4,89],[0,5,0],[0,7,9],[1,2,93],[1,3,70],[1,4,26],[1,5,32],[2,4,90],[2,5,76],[2,6,91],[2,7,59],[3,6,67],[3,7,58],[4,5,91],[5,6,49],[5,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,2)=8,(0,7)=9,(1,4)=26,(1,5)=32,(5,7)=41,(5,6)=49,(3,7)=58,(2,7)=59,(3,6)=67,(1,3)=70,(2,5)=76,(0,4)=89,(2,4)=90,(2,6)=91,(4,5)=91,(1,2)=93,(0,1)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(7)=7, Add (0,7)=9 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=43\",\"Find(1)=1, Find(5)=0, Add (1,5)=32 Succeeded, w=75\",\"Find(5)=1, Find(7)=1, Add (5,7)=41 Failed, w=75\",\"Find(5)=1, Find(6)=6, Add (5,6)=49 Succeeded, w=124\",\"Find(3)=3, Find(7)=1, Add (3,7)=58 Succeeded, w=182\",\"Find(2)=1, Find(7)=1, Add (2,7)=59 Failed, w=182\",\"Find(3)=1, Find(6)=1, Add (3,6)=67 Failed, w=182\",\"Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=182\",\"Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=182\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=182\",\"Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=182\",\"Find(2)=1, Find(6)=1, Add (2,6)=91 Failed, w=182\",\"Find(4)=1, Find(5)=1, Add (4,5)=91 Failed, w=182\",\"Find(1)=1, Find(2)=1, Add (1,2)=93 Failed, w=182\",\"Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,8],[0,4,89],[0,5,0],[0,7,9],[1,2,93],[1,3,70],[1,4,26],[1,5,32],[2,4,90],[2,5,76],[2,6,91],[2,7,59],[3,6,67],[3,7,58],[4,5,91],[5,6,49],[5,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,2)=8,(0,7)=9,(1,4)=26,(1,5)=32,(5,7)=41,(5,6)=49,(3,7)=58,(2,7)=59,(3,6)=67,(1,3)=70,(2,5)=76,(0,4)=89,(2,4)=90,(2,6)=91,(4,5)=91,(1,2)=93,(0,1)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(5)=0, Add (1,5)=32 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=41 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=6, Add (5,6)=49 Succeeded, w=124\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=58 Succeeded, w=182\",\"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)=59 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=67 Failed, w=182\",\"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)=70 Failed, w=182\",\"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)=76 Failed, w=182\",\"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)=89 Failed, w=182\",\"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)=90 Failed, w=182\",\"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)=91 Failed, w=182\",\"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)=91 Failed, w=182\",\"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)=93 Failed, w=182\",\"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)=96 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,32],[0,2,20],[0,3,70],[0,4,65],[0,5,25],[0,6,96],[1,2,99],[1,3,72],[1,4,82],[1,6,12],[2,4,86],[2,5,81],[2,6,20],[3,4,42],[3,5,91],[3,6,54],[4,6,78],[5,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,20],[0,3,70],[0,4,65],[0,5,25],[0,6,96],[1,2,99],[1,3,72],[1,4,82],[1,6,12],[2,4,86],[2,5,81],[2,6,20],[3,4,42],[3,5,91],[3,6,54],[4,6,78],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,20],[0,3,70],[0,4,65],[0,5,25],[0,6,96],[1,2,99],[1,3,72],[1,4,82],[1,6,12],[2,4,86],[2,5,81],[2,6,20],[3,4,42],[3,5,91],[3,6,54],[4,6,78],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (3,6)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,20],[0,3,70],[0,4,65],[0,5,25],[0,6,96],[1,2,99],[1,3,72],[1,4,82],[1,6,12],[2,4,86],[2,5,81],[2,6,20],[3,4,42],[3,5,91],[3,6,54],[4,6,78],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=12, w=12\",\"Add (0,2)=20, w=32\",\"Add (2,6)=20, w=52\",\"Add (0,5)=25, w=77\",\"Add (3,4)=42, w=119\",\"Add (3,6)=54, 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\":[[0,1,32],[0,2,20],[0,3,70],[0,4,65],[0,5,25],[0,6,96],[1,2,99],[1,3,72],[1,4,82],[1,6,12],[2,4,86],[2,5,81],[2,6,20],[3,4,42],[3,5,91],[3,6,54],[4,6,78],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=12 Succeeded, w=12\",\"Add (0,2)=20 Succeeded, w=32\",\"Add (2,6)=20 Succeeded, w=52\",\"Add (0,5)=25 Succeeded, w=77\",\"Add (0,1)=32 Failed, w=77\",\"Add (5,6)=37 Failed, w=77\",\"Add (3,4)=42 Succeeded, w=119\",\"Add (3,6)=54 Succeeded, w=173\",\"Add (0,4)=65 Failed, w=173\",\"Add (0,3)=70 Failed, w=173\",\"Add (1,3)=72 Failed, w=173\",\"Add (4,6)=78 Failed, w=173\",\"Add (2,5)=81 Failed, w=173\",\"Add (1,4)=82 Failed, w=173\",\"Add (2,4)=86 Failed, w=173\",\"Add (3,5)=91 Failed, w=173\",\"Add (0,6)=96 Failed, w=173\",\"Add (1,2)=99 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\":[[0,1,32],[0,2,20],[0,3,70],[0,4,65],[0,5,25],[0,6,96],[1,2,99],[1,3,72],[1,4,82],[1,6,12],[2,4,86],[2,5,81],[2,6,20],[3,4,42],[3,5,91],[3,6,54],[4,6,78],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=12,(0,2)=20,(2,6)=20,(0,5)=25,(0,1)=32,(5,6)=37,(3,4)=42,(3,6)=54,(0,4)=65,(0,3)=70,(1,3)=72,(4,6)=78,(2,5)=81,(1,4)=82,(2,4)=86,(3,5)=91,(0,6)=96,(1,2)=99]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=32\",\"Find(2)=0, Find(6)=1, Add (2,6)=20 Succeeded, w=52\",\"Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=77\",\"Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=77\",\"Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=77\",\"Find(3)=3, Find(4)=4, Add (3,4)=42 Succeeded, w=119\",\"Find(3)=3, Find(6)=0, Add (3,6)=54 Succeeded, w=173\",\"Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=173\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=173\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=173\",\"Find(4)=0, Find(6)=0, Add (4,6)=78 Failed, w=173\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=173\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=173\",\"Find(2)=0, Find(4)=0, Add (2,4)=86 Failed, w=173\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=173\",\"Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=173\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 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\":[[0,1,32],[0,2,20],[0,3,70],[0,4,65],[0,5,25],[0,6,96],[1,2,99],[1,3,72],[1,4,82],[1,6,12],[2,4,86],[2,5,81],[2,6,20],[3,4,42],[3,5,91],[3,6,54],[4,6,78],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=12,(0,2)=20,(2,6)=20,(0,5)=25,(0,1)=32,(5,6)=37,(3,4)=42,(3,6)=54,(0,4)=65,(0,3)=70,(1,3)=72,(4,6)=78,(2,5)=81,(1,4)=82,(2,4)=86,(3,5)=91,(0,6)=96,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1}, Find(2)=0, Find(6)=1, Add (2,6)=20 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=25 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 0}, Find(3)=3, Find(4)=4, Add (3,4)=42 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=54 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=78 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=173\",\"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=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=173\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,20],[0,2,18],[0,3,61],[0,4,8],[0,5,10],[1,3,20],[1,4,41],[1,5,10],[2,5,49],[3,4,31],[3,5,88],[4,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,18],[0,3,61],[0,4,8],[0,5,10],[1,3,20],[1,4,41],[1,5,10],[2,5,49],[3,4,31],[3,5,88],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,18],[0,3,61],[0,4,8],[0,5,10],[1,3,20],[1,4,41],[1,5,10],[2,5,49],[3,4,31],[3,5,88],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,18],[0,3,61],[0,4,8],[0,5,10],[1,3,20],[1,4,41],[1,5,10],[2,5,49],[3,4,31],[3,5,88],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8, w=8\",\"Add (0,5)=10, w=18\",\"Add (1,5)=10, w=28\",\"Add (0,2)=18, w=46\",\"Add (1,3)=20, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,18],[0,3,61],[0,4,8],[0,5,10],[1,3,20],[1,4,41],[1,5,10],[2,5,49],[3,4,31],[3,5,88],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8 Succeeded, w=8\",\"Add (0,5)=10 Succeeded, w=18\",\"Add (1,5)=10 Succeeded, w=28\",\"Add (0,2)=18 Succeeded, w=46\",\"Add (0,1)=20 Failed, w=46\",\"Add (1,3)=20 Succeeded, w=66\",\"Add (3,4)=31 Failed, w=66\",\"Add (1,4)=41 Failed, w=66\",\"Add (2,5)=49 Failed, w=66\",\"Add (4,5)=56 Failed, w=66\",\"Add (0,3)=61 Failed, w=66\",\"Add (3,5)=88 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,18],[0,3,61],[0,4,8],[0,5,10],[1,3,20],[1,4,41],[1,5,10],[2,5,49],[3,4,31],[3,5,88],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(0,5)=10,(1,5)=10,(0,2)=18,(0,1)=20,(1,3)=20,(3,4)=31,(1,4)=41,(2,5)=49,(4,5)=56,(0,3)=61,(3,5)=88]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=18\",\"Find(1)=1, Find(5)=0, Add (1,5)=10 Succeeded, w=28\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=46\",\"Find(0)=0, Find(1)=0, Add (0,1)=20 Failed, w=46\",\"Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=66\",\"Find(3)=0, Find(4)=0, Add (3,4)=31 Failed, w=66\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=66\",\"Find(2)=0, Find(5)=0, Add (2,5)=49 Failed, w=66\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=66\",\"Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=66\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,18],[0,3,61],[0,4,8],[0,5,10],[1,3,20],[1,4,41],[1,5,10],[2,5,49],[3,4,31],[3,5,88],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(0,5)=10,(1,5)=10,(0,2)=18,(0,1)=20,(1,3)=20,(3,4)=31,(1,4)=41,(2,5)=49,(4,5)=56,(0,3)=61,(3,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=10 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=20 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=31 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=49 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,78],[0,2,68],[0,3,73],[0,5,70],[1,2,82],[1,3,19],[1,4,27],[1,5,51],[2,3,14],[2,4,49],[2,5,3],[3,4,2],[3,5,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,68],[0,3,73],[0,5,70],[1,2,82],[1,3,19],[1,4,27],[1,5,51],[2,3,14],[2,4,49],[2,5,3],[3,4,2],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,68],[0,3,73],[0,5,70],[1,2,82],[1,3,19],[1,4,27],[1,5,51],[2,3,14],[2,4,49],[2,5,3],[3,4,2],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,68],[0,3,73],[0,5,70],[1,2,82],[1,3,19],[1,4,27],[1,5,51],[2,3,14],[2,4,49],[2,5,3],[3,4,2],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (2,5)=3, w=5\",\"Add (2,3)=14, w=19\",\"Add (1,3)=19, w=38\",\"Add (0,2)=68, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,68],[0,3,73],[0,5,70],[1,2,82],[1,3,19],[1,4,27],[1,5,51],[2,3,14],[2,4,49],[2,5,3],[3,4,2],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (2,5)=3 Succeeded, w=5\",\"Add (2,3)=14 Succeeded, w=19\",\"Add (1,3)=19 Succeeded, w=38\",\"Add (3,5)=20 Failed, w=38\",\"Add (1,4)=27 Failed, w=38\",\"Add (2,4)=49 Failed, w=38\",\"Add (1,5)=51 Failed, w=38\",\"Add (0,2)=68 Succeeded, w=106\",\"Add (0,5)=70 Failed, w=106\",\"Add (0,3)=73 Failed, w=106\",\"Add (0,1)=78 Failed, w=106\",\"Add (1,2)=82 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,68],[0,3,73],[0,5,70],[1,2,82],[1,3,19],[1,4,27],[1,5,51],[2,3,14],[2,4,49],[2,5,3],[3,4,2],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(2,5)=3,(2,3)=14,(1,3)=19,(3,5)=20,(1,4)=27,(2,4)=49,(1,5)=51,(0,2)=68,(0,5)=70,(0,3)=73,(0,1)=78,(1,2)=82]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=19\",\"Find(1)=1, Find(3)=2, Add (1,3)=19 Succeeded, w=38\",\"Find(3)=2, Find(5)=2, Add (3,5)=20 Failed, w=38\",\"Find(1)=2, Find(4)=2, Add (1,4)=27 Failed, w=38\",\"Find(2)=2, Find(4)=2, Add (2,4)=49 Failed, w=38\",\"Find(1)=2, Find(5)=2, Add (1,5)=51 Failed, w=38\",\"Find(0)=0, Find(2)=2, Add (0,2)=68 Succeeded, w=106\",\"Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=106\",\"Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=106\",\"Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=106\",\"Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,68],[0,3,73],[0,5,70],[1,2,82],[1,3,19],[1,4,27],[1,5,51],[2,3,14],[2,4,49],[2,5,3],[3,4,2],[3,5,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(2,5)=3,(2,3)=14,(1,3)=19,(3,5)=20,(1,4)=27,(2,4)=49,(1,5)=51,(0,2)=68,(0,5)=70,(0,3)=73,(0,1)=78,(1,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=19\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=19 Succeeded, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=20 Failed, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=27 Failed, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=49 Failed, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=51 Failed, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=68 Succeeded, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=70 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=106\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=82 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,98],[0,4,1],[0,6,16],[1,2,78],[1,5,100],[1,7,99],[2,5,98],[2,7,8],[3,4,71],[4,7,95],[6,7,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,4,1],[0,6,16],[1,2,78],[1,5,100],[1,7,99],[2,5,98],[2,7,8],[3,4,71],[4,7,95],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,4,1],[0,6,16],[1,2,78],[1,5,100],[1,7,99],[2,5,98],[2,7,8],[3,4,71],[4,7,95],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,7)\",\"Add (6,7)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (2,5)\"],\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,4,1],[0,6,16],[1,2,78],[1,5,100],[1,7,99],[2,5,98],[2,7,8],[3,4,71],[4,7,95],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (2,7)=8, w=9\",\"Add (6,7)=14, w=23\",\"Add (0,6)=16, w=39\",\"Add (3,4)=71, w=110\",\"Add (1,2)=78, w=188\",\"Add (2,5)=98, w=286\"],\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,4,1],[0,6,16],[1,2,78],[1,5,100],[1,7,99],[2,5,98],[2,7,8],[3,4,71],[4,7,95],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (2,7)=8 Succeeded, w=9\",\"Add (6,7)=14 Succeeded, w=23\",\"Add (0,6)=16 Succeeded, w=39\",\"Add (3,4)=71 Succeeded, w=110\",\"Add (1,2)=78 Succeeded, w=188\",\"Add (4,7)=95 Failed, w=188\",\"Add (0,3)=98 Failed, w=188\",\"Add (2,5)=98 Succeeded, w=286\",\"Add (1,7)=99 Failed, w=286\",\"Add (1,5)=100 Failed, w=286\"],\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,4,1],[0,6,16],[1,2,78],[1,5,100],[1,7,99],[2,5,98],[2,7,8],[3,4,71],[4,7,95],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,7)=8,(6,7)=14,(0,6)=16,(3,4)=71,(1,2)=78,(4,7)=95,(0,3)=98,(2,5)=98,(1,7)=99,(1,5)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=9\",\"Find(6)=6, Find(7)=2, Add (6,7)=14 Succeeded, w=23\",\"Find(0)=0, Find(6)=2, Add (0,6)=16 Succeeded, w=39\",\"Find(3)=3, Find(4)=0, Add (3,4)=71 Succeeded, w=110\",\"Find(1)=1, Find(2)=0, Add (1,2)=78 Succeeded, w=188\",\"Find(4)=0, Find(7)=0, Add (4,7)=95 Failed, w=188\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=188\",\"Find(2)=0, Find(5)=5, Add (2,5)=98 Succeeded, w=286\",\"Find(1)=0, Find(7)=0, Add (1,7)=99 Failed, w=286\",\"Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=286\"],\"Answer\":286}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,98],[0,4,1],[0,6,16],[1,2,78],[1,5,100],[1,7,99],[2,5,98],[2,7,8],[3,4,71],[4,7,95],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(2,7)=8,(6,7)=14,(0,6)=16,(3,4)=71,(1,2)=78,(4,7)=95,(0,3)=98,(2,5)=98,(1,7)=99,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2, 7: 2}, Find(6)=6, Find(7)=2, Add (6,7)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 2, 7: 2}, Find(0)=0, Find(6)=2, Add (0,6)=16 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2, 7: 2}, Find(3)=3, Find(4)=0, Add (3,4)=71 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2, 7: 2}, Find(1)=1, Find(2)=0, Add (1,2)=78 Succeeded, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=95 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 2, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=188\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(5)=5, Add (2,5)=98 Succeeded, w=286\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=99 Failed, w=286\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=286\"],\"Answer\":286}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,41],[0,2,10],[1,3,89],[2,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,10],[1,3,89],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,10],[1,3,89],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,10],[1,3,89],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (0,1)=41, w=51\",\"Add (2,3)=87, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,10],[1,3,89],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (0,1)=41 Succeeded, w=51\",\"Add (2,3)=87 Succeeded, w=138\",\"Add (1,3)=89 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,10],[1,3,89],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(0,1)=41,(2,3)=87,(1,3)=89]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=51\",\"Find(2)=0, Find(3)=3, Add (2,3)=87 Succeeded, w=138\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,41],[0,2,10],[1,3,89],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(0,1)=41,(2,3)=87,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=87 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,92],[0,2,30],[0,3,23],[0,4,17],[0,6,39],[0,7,94],[1,3,31],[1,4,50],[1,5,41],[1,7,56],[2,4,47],[2,5,83],[2,6,60],[2,7,58],[3,4,4],[3,5,85],[3,6,55],[3,7,18],[4,6,23],[4,7,54],[6,7,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,30],[0,3,23],[0,4,17],[0,6,39],[0,7,94],[1,3,31],[1,4,50],[1,5,41],[1,7,56],[2,4,47],[2,5,83],[2,6,60],[2,7,58],[3,4,4],[3,5,85],[3,6,55],[3,7,18],[4,6,23],[4,7,54],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,30],[0,3,23],[0,4,17],[0,6,39],[0,7,94],[1,3,31],[1,4,50],[1,5,41],[1,7,56],[2,4,47],[2,5,83],[2,6,60],[2,7,58],[3,4,4],[3,5,85],[3,6,55],[3,7,18],[4,6,23],[4,7,54],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (3,7)\",\"Add (4,6)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (1,5)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,30],[0,3,23],[0,4,17],[0,6,39],[0,7,94],[1,3,31],[1,4,50],[1,5,41],[1,7,56],[2,4,47],[2,5,83],[2,6,60],[2,7,58],[3,4,4],[3,5,85],[3,6,55],[3,7,18],[4,6,23],[4,7,54],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (0,4)=17, w=21\",\"Add (3,7)=18, w=39\",\"Add (4,6)=23, w=62\",\"Add (0,2)=30, w=92\",\"Add (1,3)=31, w=123\",\"Add (1,5)=41, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,30],[0,3,23],[0,4,17],[0,6,39],[0,7,94],[1,3,31],[1,4,50],[1,5,41],[1,7,56],[2,4,47],[2,5,83],[2,6,60],[2,7,58],[3,4,4],[3,5,85],[3,6,55],[3,7,18],[4,6,23],[4,7,54],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (0,4)=17 Succeeded, w=21\",\"Add (3,7)=18 Succeeded, w=39\",\"Add (0,3)=23 Failed, w=39\",\"Add (4,6)=23 Succeeded, w=62\",\"Add (0,2)=30 Succeeded, w=92\",\"Add (1,3)=31 Succeeded, w=123\",\"Add (0,6)=39 Failed, w=123\",\"Add (1,5)=41 Succeeded, w=164\",\"Add (2,4)=47 Failed, w=164\",\"Add (1,4)=50 Failed, w=164\",\"Add (4,7)=54 Failed, w=164\",\"Add (3,6)=55 Failed, w=164\",\"Add (1,7)=56 Failed, w=164\",\"Add (2,7)=58 Failed, w=164\",\"Add (2,6)=60 Failed, w=164\",\"Add (2,5)=83 Failed, w=164\",\"Add (3,5)=85 Failed, w=164\",\"Add (6,7)=89 Failed, w=164\",\"Add (0,1)=92 Failed, w=164\",\"Add (0,7)=94 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,30],[0,3,23],[0,4,17],[0,6,39],[0,7,94],[1,3,31],[1,4,50],[1,5,41],[1,7,56],[2,4,47],[2,5,83],[2,6,60],[2,7,58],[3,4,4],[3,5,85],[3,6,55],[3,7,18],[4,6,23],[4,7,54],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,4)=17,(3,7)=18,(0,3)=23,(4,6)=23,(0,2)=30,(1,3)=31,(0,6)=39,(1,5)=41,(2,4)=47,(1,4)=50,(4,7)=54,(3,6)=55,(1,7)=56,(2,7)=58,(2,6)=60,(2,5)=83,(3,5)=85,(6,7)=89,(0,1)=92,(0,7)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=3, Add (0,4)=17 Succeeded, w=21\",\"Find(3)=3, Find(7)=7, Add (3,7)=18 Succeeded, w=39\",\"Find(0)=3, Find(3)=3, Add (0,3)=23 Failed, w=39\",\"Find(4)=3, Find(6)=6, Add (4,6)=23 Succeeded, w=62\",\"Find(0)=3, Find(2)=2, Add (0,2)=30 Succeeded, w=92\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=123\",\"Find(0)=3, Find(6)=3, Add (0,6)=39 Failed, w=123\",\"Find(1)=3, Find(5)=5, Add (1,5)=41 Succeeded, w=164\",\"Find(2)=3, Find(4)=3, Add (2,4)=47 Failed, w=164\",\"Find(1)=3, Find(4)=3, Add (1,4)=50 Failed, w=164\",\"Find(4)=3, Find(7)=3, Add (4,7)=54 Failed, w=164\",\"Find(3)=3, Find(6)=3, Add (3,6)=55 Failed, w=164\",\"Find(1)=3, Find(7)=3, Add (1,7)=56 Failed, w=164\",\"Find(2)=3, Find(7)=3, Add (2,7)=58 Failed, w=164\",\"Find(2)=3, Find(6)=3, Add (2,6)=60 Failed, w=164\",\"Find(2)=3, Find(5)=3, Add (2,5)=83 Failed, w=164\",\"Find(3)=3, Find(5)=3, Add (3,5)=85 Failed, w=164\",\"Find(6)=3, Find(7)=3, Add (6,7)=89 Failed, w=164\",\"Find(0)=3, Find(1)=3, Add (0,1)=92 Failed, w=164\",\"Find(0)=3, Find(7)=3, Add (0,7)=94 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,30],[0,3,23],[0,4,17],[0,6,39],[0,7,94],[1,3,31],[1,4,50],[1,5,41],[1,7,56],[2,4,47],[2,5,83],[2,6,60],[2,7,58],[3,4,4],[3,5,85],[3,6,55],[3,7,18],[4,6,23],[4,7,54],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,4)=17,(3,7)=18,(0,3)=23,(4,6)=23,(0,2)=30,(1,3)=31,(0,6)=39,(1,5)=41,(2,4)=47,(1,4)=50,(4,7)=54,(3,6)=55,(1,7)=56,(2,7)=58,(2,6)=60,(2,5)=83,(3,5)=85,(6,7)=89,(0,1)=92,(0,7)=94]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=3, Add (0,4)=17 Succeeded, w=21\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=18 Succeeded, w=39\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=23 Failed, w=39\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(4)=3, Find(6)=6, Add (4,6)=23 Succeeded, w=62\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=3, Find(2)=2, Add (0,2)=30 Succeeded, w=92\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=39 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=5, Add (1,5)=41 Succeeded, w=164\",\"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)=47 Failed, w=164\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=50 Failed, w=164\",\"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)=54 Failed, w=164\",\"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)=55 Failed, w=164\",\"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)=56 Failed, w=164\",\"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=164\",\"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)=60 Failed, w=164\",\"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)=83 Failed, w=164\",\"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)=85 Failed, w=164\",\"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)=89 Failed, w=164\",\"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)=92 Failed, w=164\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=94 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,2],[0,3,57],[0,4,80],[1,2,63],[1,3,33],[1,4,63],[1,5,77],[2,3,2],[2,4,35],[2,5,50],[3,4,75],[3,5,9],[4,5,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,2],[0,3,57],[0,4,80],[1,2,63],[1,3,33],[1,4,63],[1,5,77],[2,3,2],[2,4,35],[2,5,50],[3,4,75],[3,5,9],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,2],[0,3,57],[0,4,80],[1,2,63],[1,3,33],[1,4,63],[1,5,77],[2,3,2],[2,4,35],[2,5,50],[3,4,75],[3,5,9],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,2],[0,3,57],[0,4,80],[1,2,63],[1,3,33],[1,4,63],[1,5,77],[2,3,2],[2,4,35],[2,5,50],[3,4,75],[3,5,9],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (2,3)=2, w=4\",\"Add (3,5)=9, w=13\",\"Add (1,3)=33, w=46\",\"Add (2,4)=35, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,2],[0,3,57],[0,4,80],[1,2,63],[1,3,33],[1,4,63],[1,5,77],[2,3,2],[2,4,35],[2,5,50],[3,4,75],[3,5,9],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (2,3)=2 Succeeded, w=4\",\"Add (3,5)=9 Succeeded, w=13\",\"Add (1,3)=33 Succeeded, w=46\",\"Add (2,4)=35 Succeeded, w=81\",\"Add (2,5)=50 Failed, w=81\",\"Add (0,3)=57 Failed, w=81\",\"Add (1,2)=63 Failed, w=81\",\"Add (1,4)=63 Failed, w=81\",\"Add (3,4)=75 Failed, w=81\",\"Add (1,5)=77 Failed, w=81\",\"Add (0,4)=80 Failed, w=81\",\"Add (0,1)=90 Failed, w=81\",\"Add (4,5)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,2],[0,3,57],[0,4,80],[1,2,63],[1,3,33],[1,4,63],[1,5,77],[2,3,2],[2,4,35],[2,5,50],[3,4,75],[3,5,9],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,3)=2,(3,5)=9,(1,3)=33,(2,4)=35,(2,5)=50,(0,3)=57,(1,2)=63,(1,4)=63,(3,4)=75,(1,5)=77,(0,4)=80,(0,1)=90,(4,5)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(2)=0, Find(3)=3, Add (2,3)=2 Succeeded, w=4\",\"Find(3)=0, Find(5)=5, Add (3,5)=9 Succeeded, w=13\",\"Find(1)=1, Find(3)=0, Add (1,3)=33 Succeeded, w=46\",\"Find(2)=0, Find(4)=4, Add (2,4)=35 Succeeded, w=81\",\"Find(2)=0, Find(5)=0, Add (2,5)=50 Failed, w=81\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=81\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=81\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=81\",\"Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=81\",\"Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=81\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=81\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=81\",\"Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,2],[0,3,57],[0,4,80],[1,2,63],[1,3,33],[1,4,63],[1,5,77],[2,3,2],[2,4,35],[2,5,50],[3,4,75],[3,5,9],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(2,3)=2,(3,5)=9,(1,3)=33,(2,4)=35,(2,5)=50,(0,3)=57,(1,2)=63,(1,4)=63,(3,4)=75,(1,5)=77,(0,4)=80,(0,1)=90,(4,5)=91]\",\"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: 0, 4: 4, 5: 5}, Find(2)=0, Find(3)=3, Add (2,3)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=33 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=4, Add (2,4)=35 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=50 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,58],[0,2,76],[0,3,82],[0,4,51],[0,5,97],[0,6,82],[1,2,88],[1,3,12],[1,4,5],[1,5,25],[2,3,99],[2,4,40],[2,5,17],[2,6,94],[3,4,44],[3,5,51],[3,6,91],[4,5,79],[4,6,79],[5,6,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,76],[0,3,82],[0,4,51],[0,5,97],[0,6,82],[1,2,88],[1,3,12],[1,4,5],[1,5,25],[2,3,99],[2,4,40],[2,5,17],[2,6,94],[3,4,44],[3,5,51],[3,6,91],[4,5,79],[4,6,79],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,76],[0,3,82],[0,4,51],[0,5,97],[0,6,82],[1,2,88],[1,3,12],[1,4,5],[1,5,25],[2,3,99],[2,4,40],[2,5,17],[2,6,94],[3,4,44],[3,5,51],[3,6,91],[4,5,79],[4,6,79],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (0,4)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,76],[0,3,82],[0,4,51],[0,5,97],[0,6,82],[1,2,88],[1,3,12],[1,4,5],[1,5,25],[2,3,99],[2,4,40],[2,5,17],[2,6,94],[3,4,44],[3,5,51],[3,6,91],[4,5,79],[4,6,79],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (1,3)=12, w=17\",\"Add (2,5)=17, w=34\",\"Add (1,5)=25, w=59\",\"Add (5,6)=45, w=104\",\"Add (0,4)=51, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,76],[0,3,82],[0,4,51],[0,5,97],[0,6,82],[1,2,88],[1,3,12],[1,4,5],[1,5,25],[2,3,99],[2,4,40],[2,5,17],[2,6,94],[3,4,44],[3,5,51],[3,6,91],[4,5,79],[4,6,79],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (1,3)=12 Succeeded, w=17\",\"Add (2,5)=17 Succeeded, w=34\",\"Add (1,5)=25 Succeeded, w=59\",\"Add (2,4)=40 Failed, w=59\",\"Add (3,4)=44 Failed, w=59\",\"Add (5,6)=45 Succeeded, w=104\",\"Add (0,4)=51 Succeeded, w=155\",\"Add (3,5)=51 Failed, w=155\",\"Add (0,1)=58 Failed, w=155\",\"Add (0,2)=76 Failed, w=155\",\"Add (4,5)=79 Failed, w=155\",\"Add (4,6)=79 Failed, w=155\",\"Add (0,3)=82 Failed, w=155\",\"Add (0,6)=82 Failed, w=155\",\"Add (1,2)=88 Failed, w=155\",\"Add (3,6)=91 Failed, w=155\",\"Add (2,6)=94 Failed, w=155\",\"Add (0,5)=97 Failed, w=155\",\"Add (2,3)=99 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,76],[0,3,82],[0,4,51],[0,5,97],[0,6,82],[1,2,88],[1,3,12],[1,4,5],[1,5,25],[2,3,99],[2,4,40],[2,5,17],[2,6,94],[3,4,44],[3,5,51],[3,6,91],[4,5,79],[4,6,79],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,3)=12,(2,5)=17,(1,5)=25,(2,4)=40,(3,4)=44,(5,6)=45,(0,4)=51,(3,5)=51,(0,1)=58,(0,2)=76,(4,5)=79,(4,6)=79,(0,3)=82,(0,6)=82,(1,2)=88,(3,6)=91,(2,6)=94,(0,5)=97,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=17\",\"Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=34\",\"Find(1)=1, Find(5)=2, Add (1,5)=25 Succeeded, w=59\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=59\",\"Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=59\",\"Find(5)=1, Find(6)=6, Add (5,6)=45 Succeeded, w=104\",\"Find(0)=0, Find(4)=1, Add (0,4)=51 Succeeded, w=155\",\"Find(3)=1, Find(5)=1, Add (3,5)=51 Failed, w=155\",\"Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=155\",\"Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=155\",\"Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=155\",\"Find(4)=1, Find(6)=1, Add (4,6)=79 Failed, w=155\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=155\",\"Find(0)=1, Find(6)=1, Add (0,6)=82 Failed, w=155\",\"Find(1)=1, Find(2)=1, Add (1,2)=88 Failed, w=155\",\"Find(3)=1, Find(6)=1, Add (3,6)=91 Failed, w=155\",\"Find(2)=1, Find(6)=1, Add (2,6)=94 Failed, w=155\",\"Find(0)=1, Find(5)=1, Add (0,5)=97 Failed, w=155\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,76],[0,3,82],[0,4,51],[0,5,97],[0,6,82],[1,2,88],[1,3,12],[1,4,5],[1,5,25],[2,3,99],[2,4,40],[2,5,17],[2,6,94],[3,4,44],[3,5,51],[3,6,91],[4,5,79],[4,6,79],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(1,3)=12,(2,5)=17,(1,5)=25,(2,4)=40,(3,4)=44,(5,6)=45,(0,4)=51,(3,5)=51,(0,1)=58,(0,2)=76,(4,5)=79,(4,6)=79,(0,3)=82,(0,6)=82,(1,2)=88,(3,6)=91,(2,6)=94,(0,5)=97,(2,3)=99]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=25 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 6}, Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 6}, Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=45 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=51 Succeeded, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=51 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=76 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=79 Failed, w=155\",\"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=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=82 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=88 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=91 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=94 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=97 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,42],[0,2,89],[0,3,10],[1,2,70],[1,3,99],[2,3,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,89],[0,3,10],[1,2,70],[1,3,99],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,89],[0,3,10],[1,2,70],[1,3,99],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,89],[0,3,10],[1,2,70],[1,3,99],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (0,1)=42, w=52\",\"Add (2,3)=58, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,89],[0,3,10],[1,2,70],[1,3,99],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (0,1)=42 Succeeded, w=52\",\"Add (2,3)=58 Succeeded, w=110\",\"Add (1,2)=70 Failed, w=110\",\"Add (0,2)=89 Failed, w=110\",\"Add (1,3)=99 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,89],[0,3,10],[1,2,70],[1,3,99],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,1)=42,(2,3)=58,(1,2)=70,(0,2)=89,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=52\",\"Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=110\",\"Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,42],[0,2,89],[0,3,10],[1,2,70],[1,3,99],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,1)=42,(2,3)=58,(1,2)=70,(0,2)=89,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=89 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,21],[1,2,23],[1,3,96],[2,3,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[1,2,23],[1,3,96],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[1,2,23],[1,3,96],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[1,2,23],[1,3,96],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=21, w=21\",\"Add (1,2)=23, w=44\",\"Add (2,3)=83, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[1,2,23],[1,3,96],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=21 Succeeded, w=21\",\"Add (1,2)=23 Succeeded, w=44\",\"Add (2,3)=83 Succeeded, w=127\",\"Add (1,3)=96 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[1,2,23],[1,3,96],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=21,(1,2)=23,(2,3)=83,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=21\",\"Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=44\",\"Find(2)=0, Find(3)=3, Add (2,3)=83 Succeeded, w=127\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[1,2,23],[1,3,96],[2,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=21,(1,2)=23,(2,3)=83,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=23 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=83 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,2,5],[0,3,66],[0,4,43],[0,5,2],[1,2,50],[1,4,43],[2,3,73],[2,4,94],[2,5,40],[3,4,5],[3,5,66],[4,5,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,5],[0,3,66],[0,4,43],[0,5,2],[1,2,50],[1,4,43],[2,3,73],[2,4,94],[2,5,40],[3,4,5],[3,5,66],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,5],[0,3,66],[0,4,43],[0,5,2],[1,2,50],[1,4,43],[2,3,73],[2,4,94],[2,5,40],[3,4,5],[3,5,66],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,5],[0,3,66],[0,4,43],[0,5,2],[1,2,50],[1,4,43],[2,3,73],[2,4,94],[2,5,40],[3,4,5],[3,5,66],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (0,2)=5, w=7\",\"Add (3,4)=5, w=12\",\"Add (0,4)=43, w=55\",\"Add (1,4)=43, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,5],[0,3,66],[0,4,43],[0,5,2],[1,2,50],[1,4,43],[2,3,73],[2,4,94],[2,5,40],[3,4,5],[3,5,66],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (0,2)=5 Succeeded, w=7\",\"Add (3,4)=5 Succeeded, w=12\",\"Add (2,5)=40 Failed, w=12\",\"Add (0,4)=43 Succeeded, w=55\",\"Add (1,4)=43 Succeeded, w=98\",\"Add (1,2)=50 Failed, w=98\",\"Add (0,3)=66 Failed, w=98\",\"Add (3,5)=66 Failed, w=98\",\"Add (2,3)=73 Failed, w=98\",\"Add (4,5)=93 Failed, w=98\",\"Add (2,4)=94 Failed, w=98\",\"Add (0,1)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,5],[0,3,66],[0,4,43],[0,5,2],[1,2,50],[1,4,43],[2,3,73],[2,4,94],[2,5,40],[3,4,5],[3,5,66],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,2)=5,(3,4)=5,(2,5)=40,(0,4)=43,(1,4)=43,(1,2)=50,(0,3)=66,(3,5)=66,(2,3)=73,(4,5)=93,(2,4)=94,(0,1)=95]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=12\",\"Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=12\",\"Find(0)=0, Find(4)=3, Add (0,4)=43 Succeeded, w=55\",\"Find(1)=1, Find(4)=0, Add (1,4)=43 Succeeded, w=98\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=98\",\"Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=98\",\"Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=98\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=98\",\"Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=98\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=98\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,5],[0,3,66],[0,4,43],[0,5,2],[1,2,50],[1,4,43],[2,3,73],[2,4,94],[2,5,40],[3,4,5],[3,5,66],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,2)=5,(3,4)=5,(2,5)=40,(0,4)=43,(1,4)=43,(1,2)=50,(0,3)=66,(3,5)=66,(2,3)=73,(4,5)=93,(2,4)=94,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(4)=3, Add (0,4)=43 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=43 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=93 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,76],[0,2,78],[0,4,67],[0,5,95],[1,2,52],[1,3,18],[1,4,68],[1,5,68],[2,3,48],[2,4,17],[3,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,78],[0,4,67],[0,5,95],[1,2,52],[1,3,18],[1,4,68],[1,5,68],[2,3,48],[2,4,17],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,78],[0,4,67],[0,5,95],[1,2,52],[1,3,18],[1,4,68],[1,5,68],[2,3,48],[2,4,17],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,78],[0,4,67],[0,5,95],[1,2,52],[1,3,18],[1,4,68],[1,5,68],[2,3,48],[2,4,17],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (2,4)=17, w=23\",\"Add (1,3)=18, w=41\",\"Add (0,4)=67, w=108\",\"Add (1,5)=68, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,78],[0,4,67],[0,5,95],[1,2,52],[1,3,18],[1,4,68],[1,5,68],[2,3,48],[2,4,17],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (2,4)=17 Succeeded, w=23\",\"Add (1,3)=18 Succeeded, w=41\",\"Add (2,3)=48 Failed, w=41\",\"Add (1,2)=52 Failed, w=41\",\"Add (0,4)=67 Succeeded, w=108\",\"Add (1,4)=68 Failed, w=108\",\"Add (1,5)=68 Succeeded, w=176\",\"Add (0,1)=76 Failed, w=176\",\"Add (0,2)=78 Failed, w=176\",\"Add (0,5)=95 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,78],[0,4,67],[0,5,95],[1,2,52],[1,3,18],[1,4,68],[1,5,68],[2,3,48],[2,4,17],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(2,4)=17,(1,3)=18,(2,3)=48,(1,2)=52,(0,4)=67,(1,4)=68,(1,5)=68,(0,1)=76,(0,2)=78,(0,5)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(2)=2, Find(4)=3, Add (2,4)=17 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=41\",\"Find(2)=3, Find(3)=3, Add (2,3)=48 Failed, w=41\",\"Find(1)=3, Find(2)=3, Add (1,2)=52 Failed, w=41\",\"Find(0)=0, Find(4)=3, Add (0,4)=67 Succeeded, w=108\",\"Find(1)=3, Find(4)=3, Add (1,4)=68 Failed, w=108\",\"Find(1)=3, Find(5)=5, Add (1,5)=68 Succeeded, w=176\",\"Find(0)=3, Find(1)=3, Add (0,1)=76 Failed, w=176\",\"Find(0)=3, Find(2)=3, Add (0,2)=78 Failed, w=176\",\"Find(0)=3, Find(5)=3, Add (0,5)=95 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,78],[0,4,67],[0,5,95],[1,2,52],[1,3,18],[1,4,68],[1,5,68],[2,3,48],[2,4,17],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(2,4)=17,(1,3)=18,(2,3)=48,(1,2)=52,(0,4)=67,(1,4)=68,(1,5)=68,(0,1)=76,(0,2)=78,(0,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=17 Succeeded, w=23\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=41\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=3, Find(3)=3, Add (2,3)=48 Failed, w=41\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=3, Find(2)=3, Add (1,2)=52 Failed, w=41\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(4)=3, Add (0,4)=67 Succeeded, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=3, Find(4)=3, Add (1,4)=68 Failed, w=108\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=5, Add (1,5)=68 Succeeded, w=176\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=76 Failed, w=176\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=78 Failed, w=176\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=95 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,19],[0,2,83],[0,3,65],[0,4,37],[0,5,26],[1,2,97],[1,3,90],[1,4,50],[1,5,60],[1,6,37],[2,3,20],[2,4,55],[2,5,40],[3,4,40],[3,5,82],[3,6,58],[4,6,9],[5,6,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,83],[0,3,65],[0,4,37],[0,5,26],[1,2,97],[1,3,90],[1,4,50],[1,5,60],[1,6,37],[2,3,20],[2,4,55],[2,5,40],[3,4,40],[3,5,82],[3,6,58],[4,6,9],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,83],[0,3,65],[0,4,37],[0,5,26],[1,2,97],[1,3,90],[1,4,50],[1,5,60],[1,6,37],[2,3,20],[2,4,55],[2,5,40],[3,4,40],[3,5,82],[3,6,58],[4,6,9],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (2,5)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,83],[0,3,65],[0,4,37],[0,5,26],[1,2,97],[1,3,90],[1,4,50],[1,5,60],[1,6,37],[2,3,20],[2,4,55],[2,5,40],[3,4,40],[3,5,82],[3,6,58],[4,6,9],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=9, w=9\",\"Add (0,1)=19, w=28\",\"Add (2,3)=20, w=48\",\"Add (0,5)=26, w=74\",\"Add (0,4)=37, w=111\",\"Add (2,5)=40, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,83],[0,3,65],[0,4,37],[0,5,26],[1,2,97],[1,3,90],[1,4,50],[1,5,60],[1,6,37],[2,3,20],[2,4,55],[2,5,40],[3,4,40],[3,5,82],[3,6,58],[4,6,9],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=9 Succeeded, w=9\",\"Add (0,1)=19 Succeeded, w=28\",\"Add (2,3)=20 Succeeded, w=48\",\"Add (0,5)=26 Succeeded, w=74\",\"Add (0,4)=37 Succeeded, w=111\",\"Add (1,6)=37 Failed, w=111\",\"Add (2,5)=40 Succeeded, w=151\",\"Add (3,4)=40 Failed, w=151\",\"Add (1,4)=50 Failed, w=151\",\"Add (2,4)=55 Failed, w=151\",\"Add (3,6)=58 Failed, w=151\",\"Add (1,5)=60 Failed, w=151\",\"Add (5,6)=61 Failed, w=151\",\"Add (0,3)=65 Failed, w=151\",\"Add (3,5)=82 Failed, w=151\",\"Add (0,2)=83 Failed, w=151\",\"Add (1,3)=90 Failed, w=151\",\"Add (1,2)=97 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,83],[0,3,65],[0,4,37],[0,5,26],[1,2,97],[1,3,90],[1,4,50],[1,5,60],[1,6,37],[2,3,20],[2,4,55],[2,5,40],[3,4,40],[3,5,82],[3,6,58],[4,6,9],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=9,(0,1)=19,(2,3)=20,(0,5)=26,(0,4)=37,(1,6)=37,(2,5)=40,(3,4)=40,(1,4)=50,(2,4)=55,(3,6)=58,(1,5)=60,(5,6)=61,(0,3)=65,(3,5)=82,(0,2)=83,(1,3)=90,(1,2)=97]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=28\",\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=48\",\"Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=74\",\"Find(0)=0, Find(4)=4, Add (0,4)=37 Succeeded, w=111\",\"Find(1)=0, Find(6)=0, Add (1,6)=37 Failed, w=111\",\"Find(2)=2, Find(5)=0, Add (2,5)=40 Succeeded, w=151\",\"Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=151\",\"Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=151\",\"Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=151\",\"Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=151\",\"Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=151\",\"Find(5)=0, Find(6)=0, Add (5,6)=61 Failed, w=151\",\"Find(0)=0, Find(3)=0, Add (0,3)=65 Failed, w=151\",\"Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=151\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=151\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,83],[0,3,65],[0,4,37],[0,5,26],[1,2,97],[1,3,90],[1,4,50],[1,5,60],[1,6,37],[2,3,20],[2,4,55],[2,5,40],[3,4,40],[3,5,82],[3,6,58],[4,6,9],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=9,(0,1)=19,(2,3)=20,(0,5)=26,(0,4)=37,(1,6)=37,(2,5)=40,(3,4)=40,(1,4)=50,(2,4)=55,(3,6)=58,(1,5)=60,(5,6)=61,(0,3)=65,(3,5)=82,(0,2)=83,(1,3)=90,(1,2)=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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 4}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=37 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=37 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(5)=0, Add (2,5)=40 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=40 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=55 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=58 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=61 Failed, w=151\",\"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=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,89],[0,2,83],[0,3,65],[0,5,20],[0,6,42],[1,2,31],[1,3,84],[1,6,99],[2,3,79],[2,6,30],[3,5,74],[3,6,51],[4,5,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,2,83],[0,3,65],[0,5,20],[0,6,42],[1,2,31],[1,3,84],[1,6,99],[2,3,79],[2,6,30],[3,5,74],[3,6,51],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,2,83],[0,3,65],[0,5,20],[0,6,42],[1,2,31],[1,3,84],[1,6,99],[2,3,79],[2,6,30],[3,5,74],[3,6,51],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (0,6)\",\"Add (3,6)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,2,83],[0,3,65],[0,5,20],[0,6,42],[1,2,31],[1,3,84],[1,6,99],[2,3,79],[2,6,30],[3,5,74],[3,6,51],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=13, w=13\",\"Add (0,5)=20, w=33\",\"Add (2,6)=30, w=63\",\"Add (1,2)=31, w=94\",\"Add (0,6)=42, w=136\",\"Add (3,6)=51, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,2,83],[0,3,65],[0,5,20],[0,6,42],[1,2,31],[1,3,84],[1,6,99],[2,3,79],[2,6,30],[3,5,74],[3,6,51],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=13 Succeeded, w=13\",\"Add (0,5)=20 Succeeded, w=33\",\"Add (2,6)=30 Succeeded, w=63\",\"Add (1,2)=31 Succeeded, w=94\",\"Add (0,6)=42 Succeeded, w=136\",\"Add (3,6)=51 Succeeded, w=187\",\"Add (0,3)=65 Failed, w=187\",\"Add (3,5)=74 Failed, w=187\",\"Add (2,3)=79 Failed, w=187\",\"Add (0,2)=83 Failed, w=187\",\"Add (1,3)=84 Failed, w=187\",\"Add (0,1)=89 Failed, w=187\",\"Add (1,6)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,2,83],[0,3,65],[0,5,20],[0,6,42],[1,2,31],[1,3,84],[1,6,99],[2,3,79],[2,6,30],[3,5,74],[3,6,51],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=13,(0,5)=20,(2,6)=30,(1,2)=31,(0,6)=42,(3,6)=51,(0,3)=65,(3,5)=74,(2,3)=79,(0,2)=83,(1,3)=84,(0,1)=89,(1,6)=99]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=13\",\"Find(0)=0, Find(5)=4, Add (0,5)=20 Succeeded, w=33\",\"Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=63\",\"Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=94\",\"Find(0)=4, Find(6)=2, Add (0,6)=42 Succeeded, w=136\",\"Find(3)=3, Find(6)=4, Add (3,6)=51 Succeeded, w=187\",\"Find(0)=4, Find(3)=4, Add (0,3)=65 Failed, w=187\",\"Find(3)=4, Find(5)=4, Add (3,5)=74 Failed, w=187\",\"Find(2)=4, Find(3)=4, Add (2,3)=79 Failed, w=187\",\"Find(0)=4, Find(2)=4, Add (0,2)=83 Failed, w=187\",\"Find(1)=4, Find(3)=4, Add (1,3)=84 Failed, w=187\",\"Find(0)=4, Find(1)=4, Add (0,1)=89 Failed, w=187\",\"Find(1)=4, Find(6)=4, Add (1,6)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,89],[0,2,83],[0,3,65],[0,5,20],[0,6,42],[1,2,31],[1,3,84],[1,6,99],[2,3,79],[2,6,30],[3,5,74],[3,6,51],[4,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=13,(0,5)=20,(2,6)=30,(1,2)=31,(0,6)=42,(3,6)=51,(0,3)=65,(3,5)=74,(2,3)=79,(0,2)=83,(1,3)=84,(0,1)=89,(1,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=13 Succeeded, w=13\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(5)=4, Add (0,5)=20 Succeeded, w=33\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=63\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=94\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 3, 4: 4, 5: 4, 6: 2}, Find(0)=4, Find(6)=2, Add (0,6)=42 Succeeded, w=136\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=3, Find(6)=4, Add (3,6)=51 Succeeded, w=187\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=65 Failed, w=187\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=74 Failed, w=187\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=79 Failed, w=187\",\"Parent: {0: 4, 1: 2, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=83 Failed, w=187\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=84 Failed, w=187\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=89 Failed, w=187\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,100],[0,2,12],[0,3,71],[0,5,8],[1,2,4],[1,3,20],[1,4,85],[1,5,47],[1,6,85],[2,3,91],[2,5,25],[2,6,55],[3,4,3],[3,5,19],[3,6,47],[4,5,28],[4,6,1],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,12],[0,3,71],[0,5,8],[1,2,4],[1,3,20],[1,4,85],[1,5,47],[1,6,85],[2,3,91],[2,5,25],[2,6,55],[3,4,3],[3,5,19],[3,6,47],[4,5,28],[4,6,1],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,12],[0,3,71],[0,5,8],[1,2,4],[1,3,20],[1,4,85],[1,5,47],[1,6,85],[2,3,91],[2,5,25],[2,6,55],[3,4,3],[3,5,19],[3,6,47],[4,5,28],[4,6,1],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,12],[0,3,71],[0,5,8],[1,2,4],[1,3,20],[1,4,85],[1,5,47],[1,6,85],[2,3,91],[2,5,25],[2,6,55],[3,4,3],[3,5,19],[3,6,47],[4,5,28],[4,6,1],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1, w=1\",\"Add (3,4)=3, w=4\",\"Add (1,2)=4, w=8\",\"Add (0,5)=8, w=16\",\"Add (0,2)=12, w=28\",\"Add (3,5)=19, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,12],[0,3,71],[0,5,8],[1,2,4],[1,3,20],[1,4,85],[1,5,47],[1,6,85],[2,3,91],[2,5,25],[2,6,55],[3,4,3],[3,5,19],[3,6,47],[4,5,28],[4,6,1],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1 Succeeded, w=1\",\"Add (3,4)=3 Succeeded, w=4\",\"Add (1,2)=4 Succeeded, w=8\",\"Add (0,5)=8 Succeeded, w=16\",\"Add (0,2)=12 Succeeded, w=28\",\"Add (3,5)=19 Succeeded, w=47\",\"Add (1,3)=20 Failed, w=47\",\"Add (2,5)=25 Failed, w=47\",\"Add (4,5)=28 Failed, w=47\",\"Add (5,6)=41 Failed, w=47\",\"Add (1,5)=47 Failed, w=47\",\"Add (3,6)=47 Failed, w=47\",\"Add (2,6)=55 Failed, w=47\",\"Add (0,3)=71 Failed, w=47\",\"Add (1,4)=85 Failed, w=47\",\"Add (1,6)=85 Failed, w=47\",\"Add (2,3)=91 Failed, w=47\",\"Add (0,1)=100 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,12],[0,3,71],[0,5,8],[1,2,4],[1,3,20],[1,4,85],[1,5,47],[1,6,85],[2,3,91],[2,5,25],[2,6,55],[3,4,3],[3,5,19],[3,6,47],[4,5,28],[4,6,1],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(3,4)=3,(1,2)=4,(0,5)=8,(0,2)=12,(3,5)=19,(1,3)=20,(2,5)=25,(4,5)=28,(5,6)=41,(1,5)=47,(3,6)=47,(2,6)=55,(0,3)=71,(1,4)=85,(1,6)=85,(2,3)=91,(0,1)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=8\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=16\",\"Find(0)=0, Find(2)=1, Add (0,2)=12 Succeeded, w=28\",\"Find(3)=4, Find(5)=0, Add (3,5)=19 Succeeded, w=47\",\"Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=47\",\"Find(2)=0, Find(5)=0, Add (2,5)=25 Failed, w=47\",\"Find(4)=0, Find(5)=0, Add (4,5)=28 Failed, w=47\",\"Find(5)=0, Find(6)=0, Add (5,6)=41 Failed, w=47\",\"Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=47\",\"Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=47\",\"Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=47\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=47\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=47\",\"Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=47\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=47\",\"Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,12],[0,3,71],[0,5,8],[1,2,4],[1,3,20],[1,4,85],[1,5,47],[1,6,85],[2,3,91],[2,5,25],[2,6,55],[3,4,3],[3,5,19],[3,6,47],[4,5,28],[4,6,1],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(3,4)=3,(1,2)=4,(0,5)=8,(0,2)=12,(3,5)=19,(1,3)=20,(2,5)=25,(4,5)=28,(5,6)=41,(1,5)=47,(3,6)=47,(2,6)=55,(0,3)=71,(1,4)=85,(1,6)=85,(2,3)=91,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 4, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(2)=1, Add (0,2)=12 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 4, 4: 0, 5: 0, 6: 4}, Find(3)=4, Find(5)=0, Add (3,5)=19 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(3)=0, Add (1,3)=20 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(2)=0, Find(5)=0, Add (2,5)=25 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(4)=0, Find(5)=0, Add (4,5)=28 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=41 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=47 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,31],[0,3,40],[2,3,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,3,40],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,3,40],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,3,40],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=31, w=31\",\"Add (0,3)=40, w=71\",\"Add (2,3)=95, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,3,40],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=31 Succeeded, w=31\",\"Add (0,3)=40 Succeeded, w=71\",\"Add (2,3)=95 Succeeded, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,3,40],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=31,(0,3)=40,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=71\",\"Find(2)=2, Find(3)=0, Add (2,3)=95 Succeeded, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,31],[0,3,40],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=31,(0,3)=40,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=95 Succeeded, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,49],[0,2,31],[0,3,92],[0,4,94],[0,5,8],[0,6,69],[1,2,42],[1,3,81],[1,4,9],[1,5,41],[1,6,30],[2,3,97],[2,4,31],[2,5,71],[2,6,35],[3,5,91],[3,6,67],[4,5,46],[4,6,39],[5,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,31],[0,3,92],[0,4,94],[0,5,8],[0,6,69],[1,2,42],[1,3,81],[1,4,9],[1,5,41],[1,6,30],[2,3,97],[2,4,31],[2,5,71],[2,6,35],[3,5,91],[3,6,67],[4,5,46],[4,6,39],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,31],[0,3,92],[0,4,94],[0,5,8],[0,6,69],[1,2,42],[1,3,81],[1,4,9],[1,5,41],[1,6,30],[2,3,97],[2,4,31],[2,5,71],[2,6,35],[3,5,91],[3,6,67],[4,5,46],[4,6,39],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,4)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (3,6)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,31],[0,3,92],[0,4,94],[0,5,8],[0,6,69],[1,2,42],[1,3,81],[1,4,9],[1,5,41],[1,6,30],[2,3,97],[2,4,31],[2,5,71],[2,6,35],[3,5,91],[3,6,67],[4,5,46],[4,6,39],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8, w=8\",\"Add (1,4)=9, w=17\",\"Add (5,6)=12, w=29\",\"Add (1,6)=30, w=59\",\"Add (0,2)=31, w=90\",\"Add (3,6)=67, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,31],[0,3,92],[0,4,94],[0,5,8],[0,6,69],[1,2,42],[1,3,81],[1,4,9],[1,5,41],[1,6,30],[2,3,97],[2,4,31],[2,5,71],[2,6,35],[3,5,91],[3,6,67],[4,5,46],[4,6,39],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=8 Succeeded, w=8\",\"Add (1,4)=9 Succeeded, w=17\",\"Add (5,6)=12 Succeeded, w=29\",\"Add (1,6)=30 Succeeded, w=59\",\"Add (0,2)=31 Succeeded, w=90\",\"Add (2,4)=31 Failed, w=90\",\"Add (2,6)=35 Failed, w=90\",\"Add (4,6)=39 Failed, w=90\",\"Add (1,5)=41 Failed, w=90\",\"Add (1,2)=42 Failed, w=90\",\"Add (4,5)=46 Failed, w=90\",\"Add (0,1)=49 Failed, w=90\",\"Add (3,6)=67 Succeeded, w=157\",\"Add (0,6)=69 Failed, w=157\",\"Add (2,5)=71 Failed, w=157\",\"Add (1,3)=81 Failed, w=157\",\"Add (3,5)=91 Failed, w=157\",\"Add (0,3)=92 Failed, w=157\",\"Add (0,4)=94 Failed, w=157\",\"Add (2,3)=97 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,31],[0,3,92],[0,4,94],[0,5,8],[0,6,69],[1,2,42],[1,3,81],[1,4,9],[1,5,41],[1,6,30],[2,3,97],[2,4,31],[2,5,71],[2,6,35],[3,5,91],[3,6,67],[4,5,46],[4,6,39],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(1,4)=9,(5,6)=12,(1,6)=30,(0,2)=31,(2,4)=31,(2,6)=35,(4,6)=39,(1,5)=41,(1,2)=42,(4,5)=46,(0,1)=49,(3,6)=67,(0,6)=69,(2,5)=71,(1,3)=81,(3,5)=91,(0,3)=92,(0,4)=94,(2,3)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=17\",\"Find(5)=0, Find(6)=6, Add (5,6)=12 Succeeded, w=29\",\"Find(1)=1, Find(6)=0, Add (1,6)=30 Succeeded, w=59\",\"Find(0)=1, Find(2)=2, Add (0,2)=31 Succeeded, w=90\",\"Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=90\",\"Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=90\",\"Find(4)=1, Find(6)=1, Add (4,6)=39 Failed, w=90\",\"Find(1)=1, Find(5)=1, Add (1,5)=41 Failed, w=90\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=90\",\"Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=90\",\"Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=90\",\"Find(3)=3, Find(6)=1, Add (3,6)=67 Succeeded, w=157\",\"Find(0)=1, Find(6)=1, Add (0,6)=69 Failed, w=157\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=157\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=157\",\"Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=157\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=157\",\"Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=157\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,2,31],[0,3,92],[0,4,94],[0,5,8],[0,6,69],[1,2,42],[1,3,81],[1,4,9],[1,5,41],[1,6,30],[2,3,97],[2,4,31],[2,5,71],[2,6,35],[3,5,91],[3,6,67],[4,5,46],[4,6,39],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=8,(1,4)=9,(5,6)=12,(1,6)=30,(0,2)=31,(2,4)=31,(2,6)=35,(4,6)=39,(1,5)=41,(1,2)=42,(4,5)=46,(0,1)=49,(3,6)=67,(0,6)=69,(2,5)=71,(1,3)=81,(3,5)=91,(0,3)=92,(0,4)=94,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=12 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=30 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 0}, Find(0)=1, Find(2)=2, Add (0,2)=31 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 0}, Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=35 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=39 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=41 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=67 Succeeded, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=69 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,40],[0,5,96],[0,6,18],[1,2,0],[1,4,99],[1,6,63],[2,3,84],[2,5,69],[2,6,39],[3,4,10],[3,5,35],[4,5,17],[4,6,78],[5,6,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,96],[0,6,18],[1,2,0],[1,4,99],[1,6,63],[2,3,84],[2,5,69],[2,6,39],[3,4,10],[3,5,35],[4,5,17],[4,6,78],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,96],[0,6,18],[1,2,0],[1,4,99],[1,6,63],[2,3,84],[2,5,69],[2,6,39],[3,4,10],[3,5,35],[4,5,17],[4,6,78],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (2,6)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,96],[0,6,18],[1,2,0],[1,4,99],[1,6,63],[2,3,84],[2,5,69],[2,6,39],[3,4,10],[3,5,35],[4,5,17],[4,6,78],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (3,4)=10, w=10\",\"Add (4,5)=17, w=27\",\"Add (0,6)=18, w=45\",\"Add (5,6)=27, w=72\",\"Add (2,6)=39, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,96],[0,6,18],[1,2,0],[1,4,99],[1,6,63],[2,3,84],[2,5,69],[2,6,39],[3,4,10],[3,5,35],[4,5,17],[4,6,78],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (3,4)=10 Succeeded, w=10\",\"Add (4,5)=17 Succeeded, w=27\",\"Add (0,6)=18 Succeeded, w=45\",\"Add (5,6)=27 Succeeded, w=72\",\"Add (3,5)=35 Failed, w=72\",\"Add (2,6)=39 Succeeded, w=111\",\"Add (0,1)=40 Failed, w=111\",\"Add (1,6)=63 Failed, w=111\",\"Add (2,5)=69 Failed, w=111\",\"Add (4,6)=78 Failed, w=111\",\"Add (2,3)=84 Failed, w=111\",\"Add (0,5)=96 Failed, w=111\",\"Add (1,4)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,96],[0,6,18],[1,2,0],[1,4,99],[1,6,63],[2,3,84],[2,5,69],[2,6,39],[3,4,10],[3,5,35],[4,5,17],[4,6,78],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,4)=10,(4,5)=17,(0,6)=18,(5,6)=27,(3,5)=35,(2,6)=39,(0,1)=40,(1,6)=63,(2,5)=69,(4,6)=78,(2,3)=84,(0,5)=96,(1,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Find(4)=3, Find(5)=5, Add (4,5)=17 Succeeded, w=27\",\"Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=45\",\"Find(5)=3, Find(6)=0, Add (5,6)=27 Succeeded, w=72\",\"Find(3)=3, Find(5)=3, Add (3,5)=35 Failed, w=72\",\"Find(2)=1, Find(6)=3, Add (2,6)=39 Succeeded, w=111\",\"Find(0)=3, Find(1)=3, Add (0,1)=40 Failed, w=111\",\"Find(1)=3, Find(6)=3, Add (1,6)=63 Failed, w=111\",\"Find(2)=3, Find(5)=3, Add (2,5)=69 Failed, w=111\",\"Find(4)=3, Find(6)=3, Add (4,6)=78 Failed, w=111\",\"Find(2)=3, Find(3)=3, Add (2,3)=84 Failed, w=111\",\"Find(0)=3, Find(5)=3, Add (0,5)=96 Failed, w=111\",\"Find(1)=3, Find(4)=3, Add (1,4)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,96],[0,6,18],[1,2,0],[1,4,99],[1,6,63],[2,3,84],[2,5,69],[2,6,39],[3,4,10],[3,5,35],[4,5,17],[4,6,78],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,4)=10,(4,5)=17,(0,6)=18,(5,6)=27,(3,5)=35,(2,6)=39,(0,1)=40,(1,6)=63,(2,5)=69,(4,6)=78,(2,3)=84,(0,5)=96,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=5, Add (4,5)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=45\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 0}, Find(5)=3, Find(6)=0, Add (5,6)=27 Succeeded, w=72\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 3, 5: 3, 6: 0}, Find(3)=3, Find(5)=3, Add (3,5)=35 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=1, Find(6)=3, Add (2,6)=39 Succeeded, w=111\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=40 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=63 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=69 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=78 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=84 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=96 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,5],[0,2,90],[0,4,87],[1,3,73],[2,3,66],[2,4,58],[3,4,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,90],[0,4,87],[1,3,73],[2,3,66],[2,4,58],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,90],[0,4,87],[1,3,73],[2,3,66],[2,4,58],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,90],[0,4,87],[1,3,73],[2,3,66],[2,4,58],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (2,4)=58, w=63\",\"Add (2,3)=66, w=129\",\"Add (1,3)=73, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,90],[0,4,87],[1,3,73],[2,3,66],[2,4,58],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (2,4)=58 Succeeded, w=63\",\"Add (2,3)=66 Succeeded, w=129\",\"Add (1,3)=73 Succeeded, w=202\",\"Add (3,4)=86 Failed, w=202\",\"Add (0,4)=87 Failed, w=202\",\"Add (0,2)=90 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,90],[0,4,87],[1,3,73],[2,3,66],[2,4,58],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(2,4)=58,(2,3)=66,(1,3)=73,(3,4)=86,(0,4)=87,(0,2)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=58 Succeeded, w=63\",\"Find(2)=2, Find(3)=3, Add (2,3)=66 Succeeded, w=129\",\"Find(1)=0, Find(3)=2, Add (1,3)=73 Succeeded, w=202\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=202\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=202\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,90],[0,4,87],[1,3,73],[2,3,66],[2,4,58],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(2,4)=58,(2,3)=66,(1,3)=73,(3,4)=86,(0,4)=87,(0,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=58 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=66 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(3)=2, Add (1,3)=73 Succeeded, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,95],[0,5,89],[0,6,99],[1,2,90],[1,3,69],[1,4,99],[1,6,8],[2,5,17],[2,7,89],[3,4,71],[3,5,38],[3,6,46],[5,6,31],[6,7,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,5,89],[0,6,99],[1,2,90],[1,3,69],[1,4,99],[1,6,8],[2,5,17],[2,7,89],[3,4,71],[3,5,38],[3,6,46],[5,6,31],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":330}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,5,89],[0,6,99],[1,2,90],[1,3,69],[1,4,99],[1,6,8],[2,5,17],[2,7,89],[3,4,71],[3,5,38],[3,6,46],[5,6,31],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,5)\",\"Add (5,6)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (0,5)\"],\"Answer\":330}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,5,89],[0,6,99],[1,2,90],[1,3,69],[1,4,99],[1,6,8],[2,5,17],[2,7,89],[3,4,71],[3,5,38],[3,6,46],[5,6,31],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8, w=8\",\"Add (2,5)=17, w=25\",\"Add (5,6)=31, w=56\",\"Add (3,5)=38, w=94\",\"Add (3,4)=71, w=165\",\"Add (6,7)=76, w=241\",\"Add (0,5)=89, w=330\"],\"Answer\":330}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,5,89],[0,6,99],[1,2,90],[1,3,69],[1,4,99],[1,6,8],[2,5,17],[2,7,89],[3,4,71],[3,5,38],[3,6,46],[5,6,31],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8 Succeeded, w=8\",\"Add (2,5)=17 Succeeded, w=25\",\"Add (5,6)=31 Succeeded, w=56\",\"Add (3,5)=38 Succeeded, w=94\",\"Add (3,6)=46 Failed, w=94\",\"Add (1,3)=69 Failed, w=94\",\"Add (3,4)=71 Succeeded, w=165\",\"Add (6,7)=76 Succeeded, w=241\",\"Add (0,5)=89 Succeeded, w=330\",\"Add (2,7)=89 Failed, w=330\",\"Add (1,2)=90 Failed, w=330\",\"Add (0,2)=95 Failed, w=330\",\"Add (0,6)=99 Failed, w=330\",\"Add (1,4)=99 Failed, w=330\"],\"Answer\":330}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,5,89],[0,6,99],[1,2,90],[1,3,69],[1,4,99],[1,6,8],[2,5,17],[2,7,89],[3,4,71],[3,5,38],[3,6,46],[5,6,31],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(2,5)=17,(5,6)=31,(3,5)=38,(3,6)=46,(1,3)=69,(3,4)=71,(6,7)=76,(0,5)=89,(2,7)=89,(1,2)=90,(0,2)=95,(0,6)=99,(1,4)=99]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=25\",\"Find(5)=2, Find(6)=1, Add (5,6)=31 Succeeded, w=56\",\"Find(3)=3, Find(5)=2, Add (3,5)=38 Succeeded, w=94\",\"Find(3)=2, Find(6)=2, Add (3,6)=46 Failed, w=94\",\"Find(1)=2, Find(3)=2, Add (1,3)=69 Failed, w=94\",\"Find(3)=2, Find(4)=4, Add (3,4)=71 Succeeded, w=165\",\"Find(6)=2, Find(7)=7, Add (6,7)=76 Succeeded, w=241\",\"Find(0)=0, Find(5)=2, Add (0,5)=89 Succeeded, w=330\",\"Find(2)=2, Find(7)=2, Add (2,7)=89 Failed, w=330\",\"Find(1)=2, Find(2)=2, Add (1,2)=90 Failed, w=330\",\"Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=330\",\"Find(0)=2, Find(6)=2, Add (0,6)=99 Failed, w=330\",\"Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=330\"],\"Answer\":330}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,95],[0,5,89],[0,6,99],[1,2,90],[1,3,69],[1,4,99],[1,6,8],[2,5,17],[2,7,89],[3,4,71],[3,5,38],[3,6,46],[5,6,31],[6,7,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(2,5)=17,(5,6)=31,(3,5)=38,(3,6)=46,(1,3)=69,(3,4)=71,(6,7)=76,(0,5)=89,(2,7)=89,(1,2)=90,(0,2)=95,(0,6)=99,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 7}, Find(5)=2, Find(6)=1, Add (5,6)=31 Succeeded, w=56\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1, 7: 7}, Find(3)=3, Find(5)=2, Add (3,5)=38 Succeeded, w=94\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 7}, Find(3)=2, Find(6)=2, Add (3,6)=46 Failed, w=94\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 7}, Find(1)=2, Find(3)=2, Add (1,3)=69 Failed, w=94\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(3)=2, Find(4)=4, Add (3,4)=71 Succeeded, w=165\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=7, Add (6,7)=76 Succeeded, w=241\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(5)=2, Add (0,5)=89 Succeeded, w=330\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=89 Failed, w=330\",\"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)=90 Failed, w=330\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=330\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=99 Failed, w=330\",\"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)=99 Failed, w=330\"],\"Answer\":330}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,4],[0,2,98],[0,3,31],[1,2,3],[1,3,66],[1,4,27],[1,5,100],[2,3,90],[2,5,81],[3,4,59],[3,5,78],[4,5,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,98],[0,3,31],[1,2,3],[1,3,66],[1,4,27],[1,5,100],[2,3,90],[2,5,81],[3,4,59],[3,5,78],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,98],[0,3,31],[1,2,3],[1,3,66],[1,4,27],[1,5,100],[2,3,90],[2,5,81],[3,4,59],[3,5,78],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,98],[0,3,31],[1,2,3],[1,3,66],[1,4,27],[1,5,100],[2,3,90],[2,5,81],[3,4,59],[3,5,78],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,1)=4, w=7\",\"Add (1,4)=27, w=34\",\"Add (0,3)=31, w=65\",\"Add (3,5)=78, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,98],[0,3,31],[1,2,3],[1,3,66],[1,4,27],[1,5,100],[2,3,90],[2,5,81],[3,4,59],[3,5,78],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,1)=4 Succeeded, w=7\",\"Add (1,4)=27 Succeeded, w=34\",\"Add (0,3)=31 Succeeded, w=65\",\"Add (3,4)=59 Failed, w=65\",\"Add (1,3)=66 Failed, w=65\",\"Add (3,5)=78 Succeeded, w=143\",\"Add (2,5)=81 Failed, w=143\",\"Add (4,5)=89 Failed, w=143\",\"Add (2,3)=90 Failed, w=143\",\"Add (0,2)=98 Failed, w=143\",\"Add (1,5)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,98],[0,3,31],[1,2,3],[1,3,66],[1,4,27],[1,5,100],[2,3,90],[2,5,81],[3,4,59],[3,5,78],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,1)=4,(1,4)=27,(0,3)=31,(3,4)=59,(1,3)=66,(3,5)=78,(2,5)=81,(4,5)=89,(2,3)=90,(0,2)=98,(1,5)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=34\",\"Find(0)=1, Find(3)=3, Add (0,3)=31 Succeeded, w=65\",\"Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=65\",\"Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=65\",\"Find(3)=1, Find(5)=5, Add (3,5)=78 Succeeded, w=143\",\"Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=143\",\"Find(4)=1, Find(5)=1, Add (4,5)=89 Failed, w=143\",\"Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=143\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=143\",\"Find(1)=1, Find(5)=1, Add (1,5)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,4],[0,2,98],[0,3,31],[1,2,3],[1,3,66],[1,4,27],[1,5,100],[2,3,90],[2,5,81],[3,4,59],[3,5,78],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,1)=4,(1,4)=27,(0,3)=31,(3,4)=59,(1,3)=66,(3,5)=78,(2,5)=81,(4,5)=89,(2,3)=90,(0,2)=98,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=27 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(3)=3, Add (0,3)=31 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=78 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=81 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=89 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,70],[0,3,27],[0,4,96],[1,2,54],[1,3,35],[1,4,36],[2,3,68],[2,4,2],[3,4,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,70],[0,3,27],[0,4,96],[1,2,54],[1,3,35],[1,4,36],[2,3,68],[2,4,2],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,70],[0,3,27],[0,4,96],[1,2,54],[1,3,35],[1,4,36],[2,3,68],[2,4,2],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,70],[0,3,27],[0,4,96],[1,2,54],[1,3,35],[1,4,36],[2,3,68],[2,4,2],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,3)=27, w=29\",\"Add (0,1)=33, w=62\",\"Add (1,4)=36, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,70],[0,3,27],[0,4,96],[1,2,54],[1,3,35],[1,4,36],[2,3,68],[2,4,2],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,3)=27 Succeeded, w=29\",\"Add (0,1)=33 Succeeded, w=62\",\"Add (1,3)=35 Failed, w=62\",\"Add (1,4)=36 Succeeded, w=98\",\"Add (1,2)=54 Failed, w=98\",\"Add (2,3)=68 Failed, w=98\",\"Add (0,2)=70 Failed, w=98\",\"Add (3,4)=86 Failed, w=98\",\"Add (0,4)=96 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,70],[0,3,27],[0,4,96],[1,2,54],[1,3,35],[1,4,36],[2,3,68],[2,4,2],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,3)=27,(0,1)=33,(1,3)=35,(1,4)=36,(1,2)=54,(2,3)=68,(0,2)=70,(3,4)=86,(0,4)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=62\",\"Find(1)=0, Find(3)=0, Add (1,3)=35 Failed, w=62\",\"Find(1)=0, Find(4)=2, Add (1,4)=36 Succeeded, w=98\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=98\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=98\",\"Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=98\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=98\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,70],[0,3,27],[0,4,96],[1,2,54],[1,3,35],[1,4,36],[2,3,68],[2,4,2],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,3)=27,(0,1)=33,(1,3)=35,(1,4)=36,(1,2)=54,(2,3)=68,(0,2)=70,(3,4)=86,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=27 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=35 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=36 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=70 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,45],[0,2,17],[0,3,39],[1,2,40],[1,3,54],[2,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,17],[0,3,39],[1,2,40],[1,3,54],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,17],[0,3,39],[1,2,40],[1,3,54],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,17],[0,3,39],[1,2,40],[1,3,54],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17, w=17\",\"Add (0,3)=39, w=56\",\"Add (1,2)=40, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,17],[0,3,39],[1,2,40],[1,3,54],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17 Succeeded, w=17\",\"Add (0,3)=39 Succeeded, w=56\",\"Add (1,2)=40 Succeeded, w=96\",\"Add (0,1)=45 Failed, w=96\",\"Add (1,3)=54 Failed, w=96\",\"Add (2,3)=72 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,17],[0,3,39],[1,2,40],[1,3,54],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,3)=39,(1,2)=40,(0,1)=45,(1,3)=54,(2,3)=72]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=56\",\"Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=45 Failed, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,45],[0,2,17],[0,3,39],[1,2,40],[1,3,54],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,3)=39,(1,2)=40,(0,1)=45,(1,3)=54,(2,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=40 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=45 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,79],[0,3,0],[1,2,70],[1,3,94],[2,3,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,0],[1,2,70],[1,3,94],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,0],[1,2,70],[1,3,94],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,0],[1,2,70],[1,3,94],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (2,3)=50, w=50\",\"Add (1,2)=70, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,0],[1,2,70],[1,3,94],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (2,3)=50 Succeeded, w=50\",\"Add (1,2)=70 Succeeded, w=120\",\"Add (0,2)=79 Failed, w=120\",\"Add (1,3)=94 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,0],[1,2,70],[1,3,94],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=50,(1,2)=70,(0,2)=79,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=0, Add (2,3)=50 Succeeded, w=50\",\"Find(1)=1, Find(2)=0, Add (1,2)=70 Succeeded, w=120\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=120\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,0],[1,2,70],[1,3,94],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(2,3)=50,(1,2)=70,(0,2)=79,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=50 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=70 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,26],[0,5,6],[1,2,53],[1,3,91],[1,4,60],[1,6,12],[2,4,75],[2,5,13],[2,6,98],[3,4,37],[3,6,48],[4,5,3],[4,6,7],[5,6,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,5,6],[1,2,53],[1,3,91],[1,4,60],[1,6,12],[2,4,75],[2,5,13],[2,6,98],[3,4,37],[3,6,48],[4,5,3],[4,6,7],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,5,6],[1,2,53],[1,3,91],[1,4,60],[1,6,12],[2,4,75],[2,5,13],[2,6,98],[3,4,37],[3,6,48],[4,5,3],[4,6,7],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (3,4)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,5,6],[1,2,53],[1,3,91],[1,4,60],[1,6,12],[2,4,75],[2,5,13],[2,6,98],[3,4,37],[3,6,48],[4,5,3],[4,6,7],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3, w=3\",\"Add (0,5)=6, w=9\",\"Add (4,6)=7, w=16\",\"Add (1,6)=12, w=28\",\"Add (2,5)=13, w=41\",\"Add (3,4)=37, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,5,6],[1,2,53],[1,3,91],[1,4,60],[1,6,12],[2,4,75],[2,5,13],[2,6,98],[3,4,37],[3,6,48],[4,5,3],[4,6,7],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3 Succeeded, w=3\",\"Add (0,5)=6 Succeeded, w=9\",\"Add (4,6)=7 Succeeded, w=16\",\"Add (1,6)=12 Succeeded, w=28\",\"Add (2,5)=13 Succeeded, w=41\",\"Add (0,2)=26 Failed, w=41\",\"Add (3,4)=37 Succeeded, w=78\",\"Add (3,6)=48 Failed, w=78\",\"Add (1,2)=53 Failed, w=78\",\"Add (1,4)=60 Failed, w=78\",\"Add (2,4)=75 Failed, w=78\",\"Add (5,6)=78 Failed, w=78\",\"Add (1,3)=91 Failed, w=78\",\"Add (2,6)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,5,6],[1,2,53],[1,3,91],[1,4,60],[1,6,12],[2,4,75],[2,5,13],[2,6,98],[3,4,37],[3,6,48],[4,5,3],[4,6,7],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(0,5)=6,(4,6)=7,(1,6)=12,(2,5)=13,(0,2)=26,(3,4)=37,(3,6)=48,(1,2)=53,(1,4)=60,(2,4)=75,(5,6)=78,(1,3)=91,(2,6)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=4, Add (0,5)=6 Succeeded, w=9\",\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=16\",\"Find(1)=1, Find(6)=4, Add (1,6)=12 Succeeded, w=28\",\"Find(2)=2, Find(5)=4, Add (2,5)=13 Succeeded, w=41\",\"Find(0)=4, Find(2)=4, Add (0,2)=26 Failed, w=41\",\"Find(3)=3, Find(4)=4, Add (3,4)=37 Succeeded, w=78\",\"Find(3)=4, Find(6)=4, Add (3,6)=48 Failed, w=78\",\"Find(1)=4, Find(2)=4, Add (1,2)=53 Failed, w=78\",\"Find(1)=4, Find(4)=4, Add (1,4)=60 Failed, w=78\",\"Find(2)=4, Find(4)=4, Add (2,4)=75 Failed, w=78\",\"Find(5)=4, Find(6)=4, Add (5,6)=78 Failed, w=78\",\"Find(1)=4, Find(3)=4, Add (1,3)=91 Failed, w=78\",\"Find(2)=4, Find(6)=4, Add (2,6)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,26],[0,5,6],[1,2,53],[1,3,91],[1,4,60],[1,6,12],[2,4,75],[2,5,13],[2,6,98],[3,4,37],[3,6,48],[4,5,3],[4,6,7],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(0,5)=6,(4,6)=7,(1,6)=12,(2,5)=13,(0,2)=26,(3,4)=37,(3,6)=48,(1,2)=53,(1,4)=60,(2,4)=75,(5,6)=78,(1,3)=91,(2,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(5)=4, Add (0,5)=6 Succeeded, w=9\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=16\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=12 Succeeded, w=28\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(2)=2, Find(5)=4, Add (2,5)=13 Succeeded, w=41\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=26 Failed, w=41\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=37 Succeeded, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=48 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=53 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=60 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=75 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=78 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=91 Failed, w=78\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=98 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,33],[1,2,69],[1,4,24],[3,4,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[1,2,69],[1,4,24],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[1,2,69],[1,4,24],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[1,2,69],[1,4,24],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10, w=10\",\"Add (1,4)=24, w=34\",\"Add (0,3)=33, w=67\",\"Add (1,2)=69, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[1,2,69],[1,4,24],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10 Succeeded, w=10\",\"Add (1,4)=24 Succeeded, w=34\",\"Add (0,3)=33 Succeeded, w=67\",\"Add (1,2)=69 Succeeded, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[1,2,69],[1,4,24],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(1,4)=24,(0,3)=33,(1,2)=69]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(4)=3, Add (1,4)=24 Succeeded, w=34\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=67\",\"Find(1)=3, Find(2)=2, Add (1,2)=69 Succeeded, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,33],[1,2,69],[1,4,24],[3,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(1,4)=24,(0,3)=33,(1,2)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=24 Succeeded, w=34\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=67\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=2, Add (1,2)=69 Succeeded, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,97],[0,2,17],[0,3,61],[0,4,31],[1,2,70],[1,3,44],[2,3,56],[2,4,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,17],[0,3,61],[0,4,31],[1,2,70],[1,3,44],[2,3,56],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,17],[0,3,61],[0,4,31],[1,2,70],[1,3,44],[2,3,56],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,17],[0,3,61],[0,4,31],[1,2,70],[1,3,44],[2,3,56],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15, w=15\",\"Add (0,2)=17, w=32\",\"Add (1,3)=44, w=76\",\"Add (2,3)=56, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,17],[0,3,61],[0,4,31],[1,2,70],[1,3,44],[2,3,56],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15 Succeeded, w=15\",\"Add (0,2)=17 Succeeded, w=32\",\"Add (0,4)=31 Failed, w=32\",\"Add (1,3)=44 Succeeded, w=76\",\"Add (2,3)=56 Succeeded, w=132\",\"Add (0,3)=61 Failed, w=132\",\"Add (1,2)=70 Failed, w=132\",\"Add (0,1)=97 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,17],[0,3,61],[0,4,31],[1,2,70],[1,3,44],[2,3,56],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(0,2)=17,(0,4)=31,(1,3)=44,(2,3)=56,(0,3)=61,(1,2)=70,(0,1)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=32\",\"Find(0)=2, Find(4)=2, Add (0,4)=31 Failed, w=32\",\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=76\",\"Find(2)=2, Find(3)=1, Add (2,3)=56 Succeeded, w=132\",\"Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=132\",\"Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=132\",\"Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,17],[0,3,61],[0,4,31],[1,2,70],[1,3,44],[2,3,56],[2,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(0,2)=17,(0,4)=31,(1,3)=44,(2,3)=56,(0,3)=61,(1,2)=70,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=31 Failed, w=32\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=56 Succeeded, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=70 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,2],[0,3,85],[0,4,50],[0,5,8],[0,6,32],[0,7,40],[1,2,95],[1,6,88],[1,7,0],[2,4,99],[2,5,66],[2,6,27],[3,4,36],[3,5,49],[3,7,70],[4,7,94],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,50],[0,5,8],[0,6,32],[0,7,40],[1,2,95],[1,6,88],[1,7,0],[2,4,99],[2,5,66],[2,6,27],[3,4,36],[3,5,49],[3,7,70],[4,7,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,50],[0,5,8],[0,6,32],[0,7,40],[1,2,95],[1,6,88],[1,7,0],[2,4,99],[2,5,66],[2,6,27],[3,4,36],[3,5,49],[3,7,70],[4,7,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (3,4)\",\"Add (3,5)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,50],[0,5,8],[0,6,32],[0,7,40],[1,2,95],[1,6,88],[1,7,0],[2,4,99],[2,5,66],[2,6,27],[3,4,36],[3,5,49],[3,7,70],[4,7,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0, w=0\",\"Add (0,1)=2, w=2\",\"Add (0,5)=8, w=10\",\"Add (2,6)=27, w=37\",\"Add (0,6)=32, w=69\",\"Add (3,4)=36, w=105\",\"Add (3,5)=49, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,50],[0,5,8],[0,6,32],[0,7,40],[1,2,95],[1,6,88],[1,7,0],[2,4,99],[2,5,66],[2,6,27],[3,4,36],[3,5,49],[3,7,70],[4,7,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0 Succeeded, w=0\",\"Add (0,1)=2 Succeeded, w=2\",\"Add (0,5)=8 Succeeded, w=10\",\"Add (2,6)=27 Succeeded, w=37\",\"Add (0,6)=32 Succeeded, w=69\",\"Add (3,4)=36 Succeeded, w=105\",\"Add (0,7)=40 Failed, w=105\",\"Add (3,5)=49 Succeeded, w=154\",\"Add (0,4)=50 Failed, w=154\",\"Add (6,7)=53 Failed, w=154\",\"Add (2,5)=66 Failed, w=154\",\"Add (3,7)=70 Failed, w=154\",\"Add (0,3)=85 Failed, w=154\",\"Add (1,6)=88 Failed, w=154\",\"Add (4,7)=94 Failed, w=154\",\"Add (1,2)=95 Failed, w=154\",\"Add (2,4)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,50],[0,5,8],[0,6,32],[0,7,40],[1,2,95],[1,6,88],[1,7,0],[2,4,99],[2,5,66],[2,6,27],[3,4,36],[3,5,49],[3,7,70],[4,7,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(0,1)=2,(0,5)=8,(2,6)=27,(0,6)=32,(3,4)=36,(0,7)=40,(3,5)=49,(0,4)=50,(6,7)=53,(2,5)=66,(3,7)=70,(0,3)=85,(1,6)=88,(4,7)=94,(1,2)=95,(2,4)=99]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(0)=1, Find(5)=5, Add (0,5)=8 Succeeded, w=10\",\"Find(2)=2, Find(6)=6, Add (2,6)=27 Succeeded, w=37\",\"Find(0)=1, Find(6)=2, Add (0,6)=32 Succeeded, w=69\",\"Find(3)=3, Find(4)=4, Add (3,4)=36 Succeeded, w=105\",\"Find(0)=1, Find(7)=1, Add (0,7)=40 Failed, w=105\",\"Find(3)=3, Find(5)=1, Add (3,5)=49 Succeeded, w=154\",\"Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=154\",\"Find(6)=1, Find(7)=1, Add (6,7)=53 Failed, w=154\",\"Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=154\",\"Find(3)=1, Find(7)=1, Add (3,7)=70 Failed, w=154\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=154\",\"Find(1)=1, Find(6)=1, Add (1,6)=88 Failed, w=154\",\"Find(4)=1, Find(7)=1, Add (4,7)=94 Failed, w=154\",\"Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=154\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,2],[0,3,85],[0,4,50],[0,5,8],[0,6,32],[0,7,40],[1,2,95],[1,6,88],[1,7,0],[2,4,99],[2,5,66],[2,6,27],[3,4,36],[3,5,49],[3,7,70],[4,7,94],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(0,1)=2,(0,5)=8,(2,6)=27,(0,6)=32,(3,4)=36,(0,7)=40,(3,5)=49,(0,4)=50,(6,7)=53,(2,5)=66,(3,7)=70,(0,3)=85,(1,6)=88,(4,7)=94,(1,2)=95,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(5)=5, Add (0,5)=8 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2, 7: 1}, Find(2)=2, Find(6)=6, Add (2,6)=27 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(6)=2, Add (0,6)=32 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 2, 7: 1}, Find(3)=3, Find(4)=4, Add (3,4)=36 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=40 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 2, 7: 1}, Find(3)=3, Find(5)=1, Add (3,5)=49 Succeeded, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=53 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=66 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=70 Failed, w=154\",\"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)=85 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=88 Failed, w=154\",\"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)=94 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=154\",\"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)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,96],[0,2,90],[0,3,44],[1,2,16],[2,3,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,90],[0,3,44],[1,2,16],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,90],[0,3,44],[1,2,16],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,90],[0,3,44],[1,2,16],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16, w=16\",\"Add (0,3)=44, w=60\",\"Add (0,2)=90, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,90],[0,3,44],[1,2,16],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16 Succeeded, w=16\",\"Add (0,3)=44 Succeeded, w=60\",\"Add (0,2)=90 Succeeded, w=150\",\"Add (0,1)=96 Failed, w=150\",\"Add (2,3)=99 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,90],[0,3,44],[1,2,16],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(0,3)=44,(0,2)=90,(0,1)=96,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=60\",\"Find(0)=0, Find(2)=1, Add (0,2)=90 Succeeded, w=150\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=150\",\"Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,96],[0,2,90],[0,3,44],[1,2,16],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(0,3)=44,(0,2)=90,(0,1)=96,(2,3)=99]\",\"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: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=44 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=90 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=99 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,8],[0,2,19],[0,3,7],[0,4,30],[0,5,5],[0,6,84],[0,7,34],[1,2,12],[1,5,88],[1,6,12],[1,7,58],[2,3,54],[2,4,16],[2,5,81],[2,6,67],[2,7,96],[3,5,97],[3,7,77],[4,6,65],[4,7,14],[5,6,89],[5,7,54],[6,7,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,19],[0,3,7],[0,4,30],[0,5,5],[0,6,84],[0,7,34],[1,2,12],[1,5,88],[1,6,12],[1,7,58],[2,3,54],[2,4,16],[2,5,81],[2,6,67],[2,7,96],[3,5,97],[3,7,77],[4,6,65],[4,7,14],[5,6,89],[5,7,54],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,19],[0,3,7],[0,4,30],[0,5,5],[0,6,84],[0,7,34],[1,2,12],[1,5,88],[1,6,12],[1,7,58],[2,3,54],[2,4,16],[2,5,81],[2,6,67],[2,7,96],[3,5,97],[3,7,77],[4,6,65],[4,7,14],[5,6,89],[5,7,54],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (4,7)\",\"Add (2,4)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,19],[0,3,7],[0,4,30],[0,5,5],[0,6,84],[0,7,34],[1,2,12],[1,5,88],[1,6,12],[1,7,58],[2,3,54],[2,4,16],[2,5,81],[2,6,67],[2,7,96],[3,5,97],[3,7,77],[4,6,65],[4,7,14],[5,6,89],[5,7,54],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (0,3)=7, w=12\",\"Add (0,1)=8, w=20\",\"Add (1,2)=12, w=32\",\"Add (1,6)=12, w=44\",\"Add (4,7)=14, w=58\",\"Add (2,4)=16, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,19],[0,3,7],[0,4,30],[0,5,5],[0,6,84],[0,7,34],[1,2,12],[1,5,88],[1,6,12],[1,7,58],[2,3,54],[2,4,16],[2,5,81],[2,6,67],[2,7,96],[3,5,97],[3,7,77],[4,6,65],[4,7,14],[5,6,89],[5,7,54],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (0,3)=7 Succeeded, w=12\",\"Add (0,1)=8 Succeeded, w=20\",\"Add (1,2)=12 Succeeded, w=32\",\"Add (1,6)=12 Succeeded, w=44\",\"Add (4,7)=14 Succeeded, w=58\",\"Add (2,4)=16 Succeeded, w=74\",\"Add (0,2)=19 Failed, w=74\",\"Add (0,4)=30 Failed, w=74\",\"Add (0,7)=34 Failed, w=74\",\"Add (2,3)=54 Failed, w=74\",\"Add (5,7)=54 Failed, w=74\",\"Add (6,7)=57 Failed, w=74\",\"Add (1,7)=58 Failed, w=74\",\"Add (4,6)=65 Failed, w=74\",\"Add (2,6)=67 Failed, w=74\",\"Add (3,7)=77 Failed, w=74\",\"Add (2,5)=81 Failed, w=74\",\"Add (0,6)=84 Failed, w=74\",\"Add (1,5)=88 Failed, w=74\",\"Add (5,6)=89 Failed, w=74\",\"Add (2,7)=96 Failed, w=74\",\"Add (3,5)=97 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,19],[0,3,7],[0,4,30],[0,5,5],[0,6,84],[0,7,34],[1,2,12],[1,5,88],[1,6,12],[1,7,58],[2,3,54],[2,4,16],[2,5,81],[2,6,67],[2,7,96],[3,5,97],[3,7,77],[4,6,65],[4,7,14],[5,6,89],[5,7,54],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(0,3)=7,(0,1)=8,(1,2)=12,(1,6)=12,(4,7)=14,(2,4)=16,(0,2)=19,(0,4)=30,(0,7)=34,(2,3)=54,(5,7)=54,(6,7)=57,(1,7)=58,(4,6)=65,(2,6)=67,(3,7)=77,(2,5)=81,(0,6)=84,(1,5)=88,(5,6)=89,(2,7)=96,(3,5)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=20\",\"Find(1)=0, Find(2)=2, Add (1,2)=12 Succeeded, w=32\",\"Find(1)=0, Find(6)=6, Add (1,6)=12 Succeeded, w=44\",\"Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=58\",\"Find(2)=0, Find(4)=4, Add (2,4)=16 Succeeded, w=74\",\"Find(0)=0, Find(2)=0, Add (0,2)=19 Failed, w=74\",\"Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=74\",\"Find(0)=0, Find(7)=0, Add (0,7)=34 Failed, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=54 Failed, w=74\",\"Find(5)=0, Find(7)=0, Add (5,7)=54 Failed, w=74\",\"Find(6)=0, Find(7)=0, Add (6,7)=57 Failed, w=74\",\"Find(1)=0, Find(7)=0, Add (1,7)=58 Failed, w=74\",\"Find(4)=0, Find(6)=0, Add (4,6)=65 Failed, w=74\",\"Find(2)=0, Find(6)=0, Add (2,6)=67 Failed, w=74\",\"Find(3)=0, Find(7)=0, Add (3,7)=77 Failed, w=74\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=74\",\"Find(0)=0, Find(6)=0, Add (0,6)=84 Failed, w=74\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=74\",\"Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=74\",\"Find(2)=0, Find(7)=0, Add (2,7)=96 Failed, w=74\",\"Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,19],[0,3,7],[0,4,30],[0,5,5],[0,6,84],[0,7,34],[1,2,12],[1,5,88],[1,6,12],[1,7,58],[2,3,54],[2,4,16],[2,5,81],[2,6,67],[2,7,96],[3,5,97],[3,7,77],[4,6,65],[4,7,14],[5,6,89],[5,7,54],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(0,3)=7,(0,1)=8,(1,2)=12,(1,6)=12,(4,7)=14,(2,4)=16,(0,2)=19,(0,4)=30,(0,7)=34,(2,3)=54,(5,7)=54,(6,7)=57,(1,7)=58,(4,6)=65,(2,6)=67,(3,7)=77,(2,5)=81,(0,6)=84,(1,5)=88,(5,6)=89,(2,7)=96,(3,5)=97]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(2)=2, Add (1,2)=12 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(6)=6, Add (1,6)=12 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(2)=0, Find(4)=4, Add (2,4)=16 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(2)=0, Add (0,2)=19 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(4)=0, Add (0,4)=30 Failed, w=74\",\"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)=34 Failed, w=74\",\"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)=54 Failed, w=74\",\"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)=54 Failed, w=74\",\"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)=57 Failed, w=74\",\"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)=58 Failed, w=74\",\"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)=65 Failed, w=74\",\"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)=67 Failed, w=74\",\"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)=77 Failed, w=74\",\"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)=81 Failed, w=74\",\"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)=84 Failed, w=74\",\"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)=88 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=74\",\"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)=96 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,11],[0,4,51],[1,3,12],[2,3,38],[2,4,38],[2,5,40],[3,4,74],[3,5,53],[4,5,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,11],[0,4,51],[1,3,12],[2,3,38],[2,4,38],[2,5,40],[3,4,74],[3,5,53],[4,5,45]]}",
"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\":[[0,3,11],[0,4,51],[1,3,12],[2,3,38],[2,4,38],[2,5,40],[3,4,74],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (2,5)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,11],[0,4,51],[1,3,12],[2,3,38],[2,4,38],[2,5,40],[3,4,74],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (1,3)=12, w=23\",\"Add (2,3)=38, w=61\",\"Add (2,4)=38, w=99\",\"Add (2,5)=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\":[[0,3,11],[0,4,51],[1,3,12],[2,3,38],[2,4,38],[2,5,40],[3,4,74],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (1,3)=12 Succeeded, w=23\",\"Add (2,3)=38 Succeeded, w=61\",\"Add (2,4)=38 Succeeded, w=99\",\"Add (2,5)=40 Succeeded, w=139\",\"Add (4,5)=45 Failed, w=139\",\"Add (0,4)=51 Failed, w=139\",\"Add (3,5)=53 Failed, w=139\",\"Add (3,4)=74 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\":[[0,3,11],[0,4,51],[1,3,12],[2,3,38],[2,4,38],[2,5,40],[3,4,74],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,3)=12,(2,3)=38,(2,4)=38,(2,5)=40,(4,5)=45,(0,4)=51,(3,5)=53,(3,4)=74]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=0, Add (1,3)=12 Succeeded, w=23\",\"Find(2)=2, Find(3)=0, Add (2,3)=38 Succeeded, w=61\",\"Find(2)=0, Find(4)=4, Add (2,4)=38 Succeeded, w=99\",\"Find(2)=0, Find(5)=5, Add (2,5)=40 Succeeded, w=139\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=139\",\"Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=139\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 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\":[[0,3,11],[0,4,51],[1,3,12],[2,3,38],[2,4,38],[2,5,40],[3,4,74],[3,5,53],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,3)=12,(2,3)=38,(2,4)=38,(2,5)=40,(4,5)=45,(0,4)=51,(3,5)=53,(3,4)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(2)=2, Find(3)=0, Add (2,3)=38 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(4)=4, Add (2,4)=38 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=40 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=51 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,7],[0,4,46],[0,6,30],[1,2,50],[1,3,76],[1,4,80],[2,4,46],[2,6,97],[3,4,96],[3,5,80],[4,5,98],[5,6,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,4,46],[0,6,30],[1,2,50],[1,3,76],[1,4,80],[2,4,46],[2,6,97],[3,4,96],[3,5,80],[4,5,98],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,4,46],[0,6,30],[1,2,50],[1,3,76],[1,4,80],[2,4,46],[2,6,97],[3,4,96],[3,5,80],[4,5,98],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,6)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (5,6)\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,4,46],[0,6,30],[1,2,50],[1,3,76],[1,4,80],[2,4,46],[2,6,97],[3,4,96],[3,5,80],[4,5,98],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (0,6)=30, w=37\",\"Add (0,4)=46, w=83\",\"Add (2,4)=46, w=129\",\"Add (1,2)=50, w=179\",\"Add (5,6)=69, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,4,46],[0,6,30],[1,2,50],[1,3,76],[1,4,80],[2,4,46],[2,6,97],[3,4,96],[3,5,80],[4,5,98],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (0,6)=30 Succeeded, w=37\",\"Add (0,4)=46 Succeeded, w=83\",\"Add (2,4)=46 Succeeded, w=129\",\"Add (1,2)=50 Succeeded, w=179\",\"Add (5,6)=69 Succeeded, w=248\",\"Add (1,3)=76 Failed, w=248\",\"Add (1,4)=80 Failed, w=248\",\"Add (3,5)=80 Failed, w=248\",\"Add (3,4)=96 Failed, w=248\",\"Add (2,6)=97 Failed, w=248\",\"Add (4,5)=98 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,4,46],[0,6,30],[1,2,50],[1,3,76],[1,4,80],[2,4,46],[2,6,97],[3,4,96],[3,5,80],[4,5,98],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,6)=30,(0,4)=46,(2,4)=46,(1,2)=50,(5,6)=69,(1,3)=76,(1,4)=80,(3,5)=80,(3,4)=96,(2,6)=97,(4,5)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=30 Succeeded, w=37\",\"Find(0)=0, Find(4)=4, Add (0,4)=46 Succeeded, w=83\",\"Find(2)=2, Find(4)=0, Add (2,4)=46 Succeeded, w=129\",\"Find(1)=1, Find(2)=0, Add (1,2)=50 Succeeded, w=179\",\"Find(5)=5, Find(6)=0, Add (5,6)=69 Succeeded, w=248\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=248\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=248\",\"Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=248\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=248\",\"Find(2)=0, Find(6)=0, Add (2,6)=97 Failed, w=248\",\"Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,7],[0,4,46],[0,6,30],[1,2,50],[1,3,76],[1,4,80],[2,4,46],[2,6,97],[3,4,96],[3,5,80],[4,5,98],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,6)=30,(0,4)=46,(2,4)=46,(1,2)=50,(5,6)=69,(1,3)=76,(1,4)=80,(3,5)=80,(3,4)=96,(2,6)=97,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=30 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=46 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=46 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=50 Succeeded, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=69 Succeeded, w=248\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=248\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=248\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=248\",\"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=248\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=97 Failed, w=248\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,36],[0,3,85],[0,4,99],[1,2,95],[1,3,71],[1,4,65],[2,3,82],[2,4,15],[3,4,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,85],[0,4,99],[1,2,95],[1,3,71],[1,4,65],[2,3,82],[2,4,15],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,85],[0,4,99],[1,2,95],[1,3,71],[1,4,65],[2,3,82],[2,4,15],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,85],[0,4,99],[1,2,95],[1,3,71],[1,4,65],[2,3,82],[2,4,15],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15, w=15\",\"Add (0,2)=36, w=51\",\"Add (1,4)=65, w=116\",\"Add (1,3)=71, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,85],[0,4,99],[1,2,95],[1,3,71],[1,4,65],[2,3,82],[2,4,15],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=15 Succeeded, w=15\",\"Add (0,2)=36 Succeeded, w=51\",\"Add (1,4)=65 Succeeded, w=116\",\"Add (1,3)=71 Succeeded, w=187\",\"Add (2,3)=82 Failed, w=187\",\"Add (3,4)=82 Failed, w=187\",\"Add (0,3)=85 Failed, w=187\",\"Add (1,2)=95 Failed, w=187\",\"Add (0,4)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,85],[0,4,99],[1,2,95],[1,3,71],[1,4,65],[2,3,82],[2,4,15],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(0,2)=36,(1,4)=65,(1,3)=71,(2,3)=82,(3,4)=82,(0,3)=85,(1,2)=95,(0,4)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=51\",\"Find(1)=1, Find(4)=2, Add (1,4)=65 Succeeded, w=116\",\"Find(1)=2, Find(3)=3, Add (1,3)=71 Succeeded, w=187\",\"Find(2)=2, Find(3)=2, Add (2,3)=82 Failed, w=187\",\"Find(3)=2, Find(4)=2, Add (3,4)=82 Failed, w=187\",\"Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=187\",\"Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=187\",\"Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,36],[0,3,85],[0,4,99],[1,2,95],[1,3,71],[1,4,65],[2,3,82],[2,4,15],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=15,(0,2)=36,(1,4)=65,(1,3)=71,(2,3)=82,(3,4)=82,(0,3)=85,(1,2)=95,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=65 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=71 Succeeded, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=82 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=82 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=95 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,68],[0,5,84],[0,6,6],[1,2,67],[1,5,97],[1,7,40],[2,5,15],[3,4,13],[3,5,10],[3,7,53],[4,5,58],[5,7,99],[6,7,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,5,84],[0,6,6],[1,2,67],[1,5,97],[1,7,40],[2,5,15],[3,4,13],[3,5,10],[3,7,53],[4,5,58],[5,7,99],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,5,84],[0,6,6],[1,2,67],[1,5,97],[1,7,40],[2,5,15],[3,4,13],[3,5,10],[3,7,53],[4,5,58],[5,7,99],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (1,7)\",\"Add (6,7)\",\"Add (3,7)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,5,84],[0,6,6],[1,2,67],[1,5,97],[1,7,40],[2,5,15],[3,4,13],[3,5,10],[3,7,53],[4,5,58],[5,7,99],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6, w=6\",\"Add (3,5)=10, w=16\",\"Add (3,4)=13, w=29\",\"Add (2,5)=15, w=44\",\"Add (1,7)=40, w=84\",\"Add (6,7)=50, w=134\",\"Add (3,7)=53, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,5,84],[0,6,6],[1,2,67],[1,5,97],[1,7,40],[2,5,15],[3,4,13],[3,5,10],[3,7,53],[4,5,58],[5,7,99],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6 Succeeded, w=6\",\"Add (3,5)=10 Succeeded, w=16\",\"Add (3,4)=13 Succeeded, w=29\",\"Add (2,5)=15 Succeeded, w=44\",\"Add (1,7)=40 Succeeded, w=84\",\"Add (6,7)=50 Succeeded, w=134\",\"Add (3,7)=53 Succeeded, w=187\",\"Add (4,5)=58 Failed, w=187\",\"Add (1,2)=67 Failed, w=187\",\"Add (0,2)=68 Failed, w=187\",\"Add (0,5)=84 Failed, w=187\",\"Add (1,5)=97 Failed, w=187\",\"Add (5,7)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,5,84],[0,6,6],[1,2,67],[1,5,97],[1,7,40],[2,5,15],[3,4,13],[3,5,10],[3,7,53],[4,5,58],[5,7,99],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(3,5)=10,(3,4)=13,(2,5)=15,(1,7)=40,(6,7)=50,(3,7)=53,(4,5)=58,(1,2)=67,(0,2)=68,(0,5)=84,(1,5)=97,(5,7)=99]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=16\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=29\",\"Find(2)=2, Find(5)=3, Add (2,5)=15 Succeeded, w=44\",\"Find(1)=1, Find(7)=7, Add (1,7)=40 Succeeded, w=84\",\"Find(6)=0, Find(7)=1, Add (6,7)=50 Succeeded, w=134\",\"Find(3)=3, Find(7)=0, Add (3,7)=53 Succeeded, w=187\",\"Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=187\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=187\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=187\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=187\",\"Find(1)=0, Find(5)=0, Add (1,5)=97 Failed, w=187\",\"Find(5)=0, Find(7)=0, Add (5,7)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,68],[0,5,84],[0,6,6],[1,2,67],[1,5,97],[1,7,40],[2,5,15],[3,4,13],[3,5,10],[3,7,53],[4,5,58],[5,7,99],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(3,5)=10,(3,4)=13,(2,5)=15,(1,7)=40,(6,7)=50,(3,7)=53,(4,5)=58,(1,2)=67,(0,2)=68,(0,5)=84,(1,5)=97,(5,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 0, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 0, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 7}, Find(2)=2, Find(5)=3, Add (2,5)=15 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=40 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0, 7: 1}, Find(6)=0, Find(7)=1, Add (6,7)=50 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 3, 6: 0, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=53 Succeeded, w=187\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=58 Failed, w=187\",\"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)=67 Failed, w=187\",\"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)=68 Failed, w=187\",\"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)=84 Failed, w=187\",\"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)=97 Failed, w=187\",\"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)=99 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,86],[0,2,15],[0,3,11],[0,4,13],[0,5,19],[0,6,57],[0,7,23],[1,2,87],[1,3,90],[1,4,56],[1,5,16],[1,7,57],[2,3,68],[2,4,29],[2,5,48],[2,6,20],[3,5,26],[3,6,97],[3,7,58],[4,5,72],[4,6,61],[4,7,38],[5,6,99],[5,7,82],[6,7,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,15],[0,3,11],[0,4,13],[0,5,19],[0,6,57],[0,7,23],[1,2,87],[1,3,90],[1,4,56],[1,5,16],[1,7,57],[2,3,68],[2,4,29],[2,5,48],[2,6,20],[3,5,26],[3,6,97],[3,7,58],[4,5,72],[4,6,61],[4,7,38],[5,6,99],[5,7,82],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,15],[0,3,11],[0,4,13],[0,5,19],[0,6,57],[0,7,23],[1,2,87],[1,3,90],[1,4,56],[1,5,16],[1,7,57],[2,3,68],[2,4,29],[2,5,48],[2,6,20],[3,5,26],[3,6,97],[3,7,58],[4,5,72],[4,6,61],[4,7,38],[5,6,99],[5,7,82],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (0,7)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,15],[0,3,11],[0,4,13],[0,5,19],[0,6,57],[0,7,23],[1,2,87],[1,3,90],[1,4,56],[1,5,16],[1,7,57],[2,3,68],[2,4,29],[2,5,48],[2,6,20],[3,5,26],[3,6,97],[3,7,58],[4,5,72],[4,6,61],[4,7,38],[5,6,99],[5,7,82],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (0,4)=13, w=24\",\"Add (0,2)=15, w=39\",\"Add (1,5)=16, w=55\",\"Add (0,5)=19, w=74\",\"Add (2,6)=20, w=94\",\"Add (0,7)=23, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,15],[0,3,11],[0,4,13],[0,5,19],[0,6,57],[0,7,23],[1,2,87],[1,3,90],[1,4,56],[1,5,16],[1,7,57],[2,3,68],[2,4,29],[2,5,48],[2,6,20],[3,5,26],[3,6,97],[3,7,58],[4,5,72],[4,6,61],[4,7,38],[5,6,99],[5,7,82],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (0,4)=13 Succeeded, w=24\",\"Add (0,2)=15 Succeeded, w=39\",\"Add (1,5)=16 Succeeded, w=55\",\"Add (0,5)=19 Succeeded, w=74\",\"Add (2,6)=20 Succeeded, w=94\",\"Add (0,7)=23 Succeeded, w=117\",\"Add (3,5)=26 Failed, w=117\",\"Add (2,4)=29 Failed, w=117\",\"Add (4,7)=38 Failed, w=117\",\"Add (2,5)=48 Failed, w=117\",\"Add (6,7)=52 Failed, w=117\",\"Add (1,4)=56 Failed, w=117\",\"Add (0,6)=57 Failed, w=117\",\"Add (1,7)=57 Failed, w=117\",\"Add (3,7)=58 Failed, w=117\",\"Add (4,6)=61 Failed, w=117\",\"Add (2,3)=68 Failed, w=117\",\"Add (4,5)=72 Failed, w=117\",\"Add (5,7)=82 Failed, w=117\",\"Add (0,1)=86 Failed, w=117\",\"Add (1,2)=87 Failed, w=117\",\"Add (1,3)=90 Failed, w=117\",\"Add (3,6)=97 Failed, w=117\",\"Add (5,6)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,15],[0,3,11],[0,4,13],[0,5,19],[0,6,57],[0,7,23],[1,2,87],[1,3,90],[1,4,56],[1,5,16],[1,7,57],[2,3,68],[2,4,29],[2,5,48],[2,6,20],[3,5,26],[3,6,97],[3,7,58],[4,5,72],[4,6,61],[4,7,38],[5,6,99],[5,7,82],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,4)=13,(0,2)=15,(1,5)=16,(0,5)=19,(2,6)=20,(0,7)=23,(3,5)=26,(2,4)=29,(4,7)=38,(2,5)=48,(6,7)=52,(1,4)=56,(0,6)=57,(1,7)=57,(3,7)=58,(4,6)=61,(2,3)=68,(4,5)=72,(5,7)=82,(0,1)=86,(1,2)=87,(1,3)=90,(3,6)=97,(5,6)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=39\",\"Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=55\",\"Find(0)=0, Find(5)=1, Add (0,5)=19 Succeeded, w=74\",\"Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=94\",\"Find(0)=0, Find(7)=7, Add (0,7)=23 Succeeded, w=117\",\"Find(3)=0, Find(5)=0, Add (3,5)=26 Failed, w=117\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=117\",\"Find(4)=0, Find(7)=0, Add (4,7)=38 Failed, w=117\",\"Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=117\",\"Find(6)=0, Find(7)=0, Add (6,7)=52 Failed, w=117\",\"Find(1)=0, Find(4)=0, Add (1,4)=56 Failed, w=117\",\"Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=117\",\"Find(1)=0, Find(7)=0, Add (1,7)=57 Failed, w=117\",\"Find(3)=0, Find(7)=0, Add (3,7)=58 Failed, w=117\",\"Find(4)=0, Find(6)=0, Add (4,6)=61 Failed, w=117\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=117\",\"Find(4)=0, Find(5)=0, Add (4,5)=72 Failed, w=117\",\"Find(5)=0, Find(7)=0, Add (5,7)=82 Failed, w=117\",\"Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=117\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=117\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=117\",\"Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=117\",\"Find(5)=0, Find(6)=0, Add (5,6)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,15],[0,3,11],[0,4,13],[0,5,19],[0,6,57],[0,7,23],[1,2,87],[1,3,90],[1,4,56],[1,5,16],[1,7,57],[2,3,68],[2,4,29],[2,5,48],[2,6,20],[3,5,26],[3,6,97],[3,7,58],[4,5,72],[4,6,61],[4,7,38],[5,6,99],[5,7,82],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,4)=13,(0,2)=15,(1,5)=16,(0,5)=19,(2,6)=20,(0,7)=23,(3,5)=26,(2,4)=29,(4,7)=38,(2,5)=48,(6,7)=52,(1,4)=56,(0,6)=57,(1,7)=57,(3,7)=58,(4,6)=61,(2,3)=68,(4,5)=72,(5,7)=82,(0,1)=86,(1,2)=87,(1,3)=90,(3,6)=97,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=16 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(5)=1, Add (0,5)=19 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 7}, Find(2)=0, Find(6)=6, Add (2,6)=20 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=23 Succeeded, w=117\",\"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)=26 Failed, w=117\",\"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)=29 Failed, w=117\",\"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)=38 Failed, w=117\",\"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)=48 Failed, w=117\",\"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)=52 Failed, w=117\",\"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)=56 Failed, w=117\",\"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)=57 Failed, w=117\",\"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)=57 Failed, w=117\",\"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)=58 Failed, w=117\",\"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)=61 Failed, w=117\",\"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=117\",\"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)=72 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=82 Failed, w=117\",\"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)=86 Failed, w=117\",\"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)=87 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=97 Failed, w=117\",\"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)=99 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,68],[0,4,93],[0,5,79],[1,2,24],[1,3,5],[1,4,70],[1,5,100],[1,6,55],[2,3,23],[3,5,73],[3,6,1],[4,5,55],[5,6,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,68],[0,4,93],[0,5,79],[1,2,24],[1,3,5],[1,4,70],[1,5,100],[1,6,55],[2,3,23],[3,5,73],[3,6,1],[4,5,55],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,68],[0,4,93],[0,5,79],[1,2,24],[1,3,5],[1,4,70],[1,5,100],[1,6,55],[2,3,23],[3,5,73],[3,6,1],[4,5,55],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (4,5)\",\"Add (0,2)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,68],[0,4,93],[0,5,79],[1,2,24],[1,3,5],[1,4,70],[1,5,100],[1,6,55],[2,3,23],[3,5,73],[3,6,1],[4,5,55],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1, w=1\",\"Add (1,3)=5, w=6\",\"Add (2,3)=23, w=29\",\"Add (5,6)=27, w=56\",\"Add (4,5)=55, w=111\",\"Add (0,2)=68, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,68],[0,4,93],[0,5,79],[1,2,24],[1,3,5],[1,4,70],[1,5,100],[1,6,55],[2,3,23],[3,5,73],[3,6,1],[4,5,55],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=1 Succeeded, w=1\",\"Add (1,3)=5 Succeeded, w=6\",\"Add (2,3)=23 Succeeded, w=29\",\"Add (1,2)=24 Failed, w=29\",\"Add (5,6)=27 Succeeded, w=56\",\"Add (1,6)=55 Failed, w=56\",\"Add (4,5)=55 Succeeded, w=111\",\"Add (0,2)=68 Succeeded, w=179\",\"Add (1,4)=70 Failed, w=179\",\"Add (3,5)=73 Failed, w=179\",\"Add (0,5)=79 Failed, w=179\",\"Add (0,4)=93 Failed, w=179\",\"Add (1,5)=100 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,68],[0,4,93],[0,5,79],[1,2,24],[1,3,5],[1,4,70],[1,5,100],[1,6,55],[2,3,23],[3,5,73],[3,6,1],[4,5,55],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(1,3)=5,(2,3)=23,(1,2)=24,(5,6)=27,(1,6)=55,(4,5)=55,(0,2)=68,(1,4)=70,(3,5)=73,(0,5)=79,(0,4)=93,(1,5)=100]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=29\",\"Find(1)=3, Find(2)=3, Add (1,2)=24 Failed, w=29\",\"Find(5)=5, Find(6)=3, Add (5,6)=27 Succeeded, w=56\",\"Find(1)=3, Find(6)=3, Add (1,6)=55 Failed, w=56\",\"Find(4)=4, Find(5)=3, Add (4,5)=55 Succeeded, w=111\",\"Find(0)=0, Find(2)=3, Add (0,2)=68 Succeeded, w=179\",\"Find(1)=3, Find(4)=3, Add (1,4)=70 Failed, w=179\",\"Find(3)=3, Find(5)=3, Add (3,5)=73 Failed, w=179\",\"Find(0)=3, Find(5)=3, Add (0,5)=79 Failed, w=179\",\"Find(0)=3, Find(4)=3, Add (0,4)=93 Failed, w=179\",\"Find(1)=3, Find(5)=3, Add (1,5)=100 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,68],[0,4,93],[0,5,79],[1,2,24],[1,3,5],[1,4,70],[1,5,100],[1,6,55],[2,3,23],[3,5,73],[3,6,1],[4,5,55],[5,6,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=1,(1,3)=5,(2,3)=23,(1,2)=24,(5,6)=27,(1,6)=55,(4,5)=55,(0,2)=68,(1,4)=70,(3,5)=73,(0,5)=79,(0,4)=93,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=29\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=24 Failed, w=29\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(5)=5, Find(6)=3, Add (5,6)=27 Succeeded, w=56\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=55 Failed, w=56\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=4, Find(5)=3, Add (4,5)=55 Succeeded, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(2)=3, Add (0,2)=68 Succeeded, w=179\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=70 Failed, w=179\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=73 Failed, w=179\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=79 Failed, w=179\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=93 Failed, w=179\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=100 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,36],[0,2,64],[0,3,85],[0,4,73],[0,5,81],[0,6,11],[0,7,40],[1,2,49],[1,3,79],[1,4,62],[1,5,90],[1,6,35],[1,7,74],[2,3,36],[2,4,28],[2,5,20],[2,6,51],[2,7,87],[3,4,31],[3,5,31],[3,6,42],[3,7,22],[4,5,2],[4,6,100],[4,7,10],[5,6,100],[5,7,6],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,36],[0,2,64],[0,3,85],[0,4,73],[0,5,81],[0,6,11],[0,7,40],[1,2,49],[1,3,79],[1,4,62],[1,5,90],[1,6,35],[1,7,74],[2,3,36],[2,4,28],[2,5,20],[2,6,51],[2,7,87],[3,4,31],[3,5,31],[3,6,42],[3,7,22],[4,5,2],[4,6,100],[4,7,10],[5,6,100],[5,7,6],[6,7,53]]}",
"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\":[[0,1,36],[0,2,64],[0,3,85],[0,4,73],[0,5,81],[0,6,11],[0,7,40],[1,2,49],[1,3,79],[1,4,62],[1,5,90],[1,6,35],[1,7,74],[2,3,36],[2,4,28],[2,5,20],[2,6,51],[2,7,87],[3,4,31],[3,5,31],[3,6,42],[3,7,22],[4,5,2],[4,6,100],[4,7,10],[5,6,100],[5,7,6],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (5,7)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (3,7)\",\"Add (1,6)\",\"Add (0,7)\"],\"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\":[[0,1,36],[0,2,64],[0,3,85],[0,4,73],[0,5,81],[0,6,11],[0,7,40],[1,2,49],[1,3,79],[1,4,62],[1,5,90],[1,6,35],[1,7,74],[2,3,36],[2,4,28],[2,5,20],[2,6,51],[2,7,87],[3,4,31],[3,5,31],[3,6,42],[3,7,22],[4,5,2],[4,6,100],[4,7,10],[5,6,100],[5,7,6],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (5,7)=6, w=8\",\"Add (0,6)=11, w=19\",\"Add (2,5)=20, w=39\",\"Add (3,7)=22, w=61\",\"Add (1,6)=35, w=96\",\"Add (0,7)=40, 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\":[[0,1,36],[0,2,64],[0,3,85],[0,4,73],[0,5,81],[0,6,11],[0,7,40],[1,2,49],[1,3,79],[1,4,62],[1,5,90],[1,6,35],[1,7,74],[2,3,36],[2,4,28],[2,5,20],[2,6,51],[2,7,87],[3,4,31],[3,5,31],[3,6,42],[3,7,22],[4,5,2],[4,6,100],[4,7,10],[5,6,100],[5,7,6],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (5,7)=6 Succeeded, w=8\",\"Add (4,7)=10 Failed, w=8\",\"Add (0,6)=11 Succeeded, w=19\",\"Add (2,5)=20 Succeeded, w=39\",\"Add (3,7)=22 Succeeded, w=61\",\"Add (2,4)=28 Failed, w=61\",\"Add (3,4)=31 Failed, w=61\",\"Add (3,5)=31 Failed, w=61\",\"Add (1,6)=35 Succeeded, w=96\",\"Add (0,1)=36 Failed, w=96\",\"Add (2,3)=36 Failed, w=96\",\"Add (0,7)=40 Succeeded, w=136\",\"Add (3,6)=42 Failed, w=136\",\"Add (1,2)=49 Failed, w=136\",\"Add (2,6)=51 Failed, w=136\",\"Add (6,7)=53 Failed, w=136\",\"Add (1,4)=62 Failed, w=136\",\"Add (0,2)=64 Failed, w=136\",\"Add (0,4)=73 Failed, w=136\",\"Add (1,7)=74 Failed, w=136\",\"Add (1,3)=79 Failed, w=136\",\"Add (0,5)=81 Failed, w=136\",\"Add (0,3)=85 Failed, w=136\",\"Add (2,7)=87 Failed, w=136\",\"Add (1,5)=90 Failed, w=136\",\"Add (4,6)=100 Failed, w=136\",\"Add (5,6)=100 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\":[[0,1,36],[0,2,64],[0,3,85],[0,4,73],[0,5,81],[0,6,11],[0,7,40],[1,2,49],[1,3,79],[1,4,62],[1,5,90],[1,6,35],[1,7,74],[2,3,36],[2,4,28],[2,5,20],[2,6,51],[2,7,87],[3,4,31],[3,5,31],[3,6,42],[3,7,22],[4,5,2],[4,6,100],[4,7,10],[5,6,100],[5,7,6],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(5,7)=6,(4,7)=10,(0,6)=11,(2,5)=20,(3,7)=22,(2,4)=28,(3,4)=31,(3,5)=31,(1,6)=35,(0,1)=36,(2,3)=36,(0,7)=40,(3,6)=42,(1,2)=49,(2,6)=51,(6,7)=53,(1,4)=62,(0,2)=64,(0,4)=73,(1,7)=74,(1,3)=79,(0,5)=81,(0,3)=85,(2,7)=87,(1,5)=90,(4,6)=100,(5,6)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(5)=4, Find(7)=7, Add (5,7)=6 Succeeded, w=8\",\"Find(4)=4, Find(7)=4, Add (4,7)=10 Failed, w=8\",\"Find(0)=0, Find(6)=6, Add (0,6)=11 Succeeded, w=19\",\"Find(2)=2, Find(5)=4, Add (2,5)=20 Succeeded, w=39\",\"Find(3)=3, Find(7)=4, Add (3,7)=22 Succeeded, w=61\",\"Find(2)=4, Find(4)=4, Add (2,4)=28 Failed, w=61\",\"Find(3)=4, Find(4)=4, Add (3,4)=31 Failed, w=61\",\"Find(3)=4, Find(5)=4, Add (3,5)=31 Failed, w=61\",\"Find(1)=1, Find(6)=0, Add (1,6)=35 Succeeded, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=36 Failed, w=96\",\"Find(2)=4, Find(3)=4, Add (2,3)=36 Failed, w=96\",\"Find(0)=0, Find(7)=4, Add (0,7)=40 Succeeded, w=136\",\"Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=136\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=136\",\"Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=136\",\"Find(6)=0, Find(7)=0, Add (6,7)=53 Failed, w=136\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=136\",\"Find(0)=0, Find(2)=0, Add (0,2)=64 Failed, w=136\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=136\",\"Find(1)=0, Find(7)=0, Add (1,7)=74 Failed, w=136\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=136\",\"Find(0)=0, Find(5)=0, Add (0,5)=81 Failed, w=136\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=136\",\"Find(2)=0, Find(7)=0, Add (2,7)=87 Failed, w=136\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=136\",\"Find(4)=0, Find(6)=0, Add (4,6)=100 Failed, w=136\",\"Find(5)=0, Find(6)=0, Add (5,6)=100 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\":[[0,1,36],[0,2,64],[0,3,85],[0,4,73],[0,5,81],[0,6,11],[0,7,40],[1,2,49],[1,3,79],[1,4,62],[1,5,90],[1,6,35],[1,7,74],[2,3,36],[2,4,28],[2,5,20],[2,6,51],[2,7,87],[3,4,31],[3,5,31],[3,6,42],[3,7,22],[4,5,2],[4,6,100],[4,7,10],[5,6,100],[5,7,6],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(5,7)=6,(4,7)=10,(0,6)=11,(2,5)=20,(3,7)=22,(2,4)=28,(3,4)=31,(3,5)=31,(1,6)=35,(0,1)=36,(2,3)=36,(0,7)=40,(3,6)=42,(1,2)=49,(2,6)=51,(6,7)=53,(1,4)=62,(0,2)=64,(0,4)=73,(1,7)=74,(1,3)=79,(0,5)=81,(0,3)=85,(2,7)=87,(1,5)=90,(4,6)=100,(5,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(5)=4, Find(7)=7, Add (5,7)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=10 Failed, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0, 7: 4}, Find(0)=0, Find(6)=6, Add (0,6)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 0, 7: 4}, Find(2)=2, Find(5)=4, Add (2,5)=20 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=22 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=28 Failed, w=61\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=31 Failed, w=61\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=31 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0, 7: 4}, Find(1)=1, Find(6)=0, Add (1,6)=35 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0, 7: 4}, Find(0)=0, Find(1)=0, Add (0,1)=36 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=36 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 4, 4: 0, 5: 4, 6: 0, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=40 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4, 6: 0, 7: 4}, Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 4}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 4}, Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=53 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=64 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=74 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=136\",\"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)=81 Failed, w=136\",\"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)=85 Failed, w=136\",\"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)=87 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=136\",\"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)=100 Failed, w=136\",\"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)=100 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,77],[0,3,21],[0,5,33],[1,5,67],[2,4,70],[3,4,85],[3,5,4]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,3,21],[0,5,33],[1,5,67],[2,4,70],[3,4,85],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,3,21],[0,5,33],[1,5,67],[2,4,70],[3,4,85],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,3,21],[0,5,33],[1,5,67],[2,4,70],[3,4,85],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (0,3)=21, w=25\",\"Add (1,5)=67, w=92\",\"Add (2,4)=70, w=162\",\"Add (3,4)=85, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,3,21],[0,5,33],[1,5,67],[2,4,70],[3,4,85],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (0,3)=21 Succeeded, w=25\",\"Add (0,5)=33 Failed, w=25\",\"Add (1,5)=67 Succeeded, w=92\",\"Add (2,4)=70 Succeeded, w=162\",\"Add (0,1)=77 Failed, w=162\",\"Add (3,4)=85 Succeeded, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,3,21],[0,5,33],[1,5,67],[2,4,70],[3,4,85],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(0,3)=21,(0,5)=33,(1,5)=67,(2,4)=70,(0,1)=77,(3,4)=85]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=25\",\"Find(0)=3, Find(5)=3, Add (0,5)=33 Failed, w=25\",\"Find(1)=1, Find(5)=3, Add (1,5)=67 Succeeded, w=92\",\"Find(2)=2, Find(4)=4, Add (2,4)=70 Succeeded, w=162\",\"Find(0)=3, Find(1)=3, Add (0,1)=77 Failed, w=162\",\"Find(3)=3, Find(4)=2, Add (3,4)=85 Succeeded, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,77],[0,3,21],[0,5,33],[1,5,67],[2,4,70],[3,4,85],[3,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(0,3)=21,(0,5)=33,(1,5)=67,(2,4)=70,(0,1)=77,(3,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=25\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=33 Failed, w=25\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=67 Succeeded, w=92\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3}, Find(2)=2, Find(4)=4, Add (2,4)=70 Succeeded, w=162\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=77 Failed, w=162\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(4)=2, Add (3,4)=85 Succeeded, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,44],[0,2,7],[0,3,56],[0,4,99],[1,2,49],[1,3,37],[1,4,76],[2,3,50],[2,4,20],[3,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,7],[0,3,56],[0,4,99],[1,2,49],[1,3,37],[1,4,76],[2,3,50],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,7],[0,3,56],[0,4,99],[1,2,49],[1,3,37],[1,4,76],[2,3,50],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,7],[0,3,56],[0,4,99],[1,2,49],[1,3,37],[1,4,76],[2,3,50],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (3,4)=18, w=25\",\"Add (2,4)=20, w=45\",\"Add (1,3)=37, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,7],[0,3,56],[0,4,99],[1,2,49],[1,3,37],[1,4,76],[2,3,50],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (3,4)=18 Succeeded, w=25\",\"Add (2,4)=20 Succeeded, w=45\",\"Add (1,3)=37 Succeeded, w=82\",\"Add (0,1)=44 Failed, w=82\",\"Add (1,2)=49 Failed, w=82\",\"Add (2,3)=50 Failed, w=82\",\"Add (0,3)=56 Failed, w=82\",\"Add (1,4)=76 Failed, w=82\",\"Add (0,4)=99 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,7],[0,3,56],[0,4,99],[1,2,49],[1,3,37],[1,4,76],[2,3,50],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(3,4)=18,(2,4)=20,(1,3)=37,(0,1)=44,(1,2)=49,(2,3)=50,(0,3)=56,(1,4)=76,(0,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=25\",\"Find(2)=0, Find(4)=3, Add (2,4)=20 Succeeded, w=45\",\"Find(1)=1, Find(3)=0, Add (1,3)=37 Succeeded, w=82\",\"Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=82\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=82\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=82\",\"Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=82\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=82\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,44],[0,2,7],[0,3,56],[0,4,99],[1,2,49],[1,3,37],[1,4,76],[2,3,50],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(3,4)=18,(2,4)=20,(1,3)=37,(0,1)=44,(1,2)=49,(2,3)=50,(0,3)=56,(1,4)=76,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=1, Find(3)=0, Add (1,3)=37 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,5],[0,2,79],[0,3,97],[0,4,30],[1,2,63],[1,3,8],[1,4,45],[2,4,84],[3,4,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,79],[0,3,97],[0,4,30],[1,2,63],[1,3,8],[1,4,45],[2,4,84],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,79],[0,3,97],[0,4,30],[1,2,63],[1,3,8],[1,4,45],[2,4,84],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,79],[0,3,97],[0,4,30],[1,2,63],[1,3,8],[1,4,45],[2,4,84],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (1,3)=8, w=13\",\"Add (0,4)=30, w=43\",\"Add (1,2)=63, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,79],[0,3,97],[0,4,30],[1,2,63],[1,3,8],[1,4,45],[2,4,84],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (1,3)=8 Succeeded, w=13\",\"Add (0,4)=30 Succeeded, w=43\",\"Add (1,4)=45 Failed, w=43\",\"Add (1,2)=63 Succeeded, w=106\",\"Add (0,2)=79 Failed, w=106\",\"Add (2,4)=84 Failed, w=106\",\"Add (3,4)=86 Failed, w=106\",\"Add (0,3)=97 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,79],[0,3,97],[0,4,30],[1,2,63],[1,3,8],[1,4,45],[2,4,84],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,3)=8,(0,4)=30,(1,4)=45,(1,2)=63,(0,2)=79,(2,4)=84,(3,4)=86,(0,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(1)=0, Find(3)=3, Add (1,3)=8 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=43\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=43\",\"Find(1)=0, Find(2)=2, Add (1,2)=63 Succeeded, w=106\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=106\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=106\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=106\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,5],[0,2,79],[0,3,97],[0,4,30],[1,2,63],[1,3,8],[1,4,45],[2,4,84],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(1,3)=8,(0,4)=30,(1,4)=45,(1,2)=63,(0,2)=79,(2,4)=84,(3,4)=86,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=0, Find(3)=3, Add (1,3)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=63 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,78],[0,2,72],[1,2,9],[1,3,64],[1,4,15],[2,3,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,72],[1,2,9],[1,3,64],[1,4,15],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,72],[1,2,9],[1,3,64],[1,4,15],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,72],[1,2,9],[1,3,64],[1,4,15],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (1,4)=15, w=24\",\"Add (1,3)=64, w=88\",\"Add (0,2)=72, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,72],[1,2,9],[1,3,64],[1,4,15],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (1,4)=15 Succeeded, w=24\",\"Add (1,3)=64 Succeeded, w=88\",\"Add (0,2)=72 Succeeded, w=160\",\"Add (2,3)=76 Failed, w=160\",\"Add (0,1)=78 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,72],[1,2,9],[1,3,64],[1,4,15],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(1,4)=15,(1,3)=64,(0,2)=72,(2,3)=76,(0,1)=78]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=64 Succeeded, w=88\",\"Find(0)=0, Find(2)=1, Add (0,2)=72 Succeeded, w=160\",\"Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=160\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,78],[0,2,72],[1,2,9],[1,3,64],[1,4,15],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(1,4)=15,(1,3)=64,(0,2)=72,(2,3)=76,(0,1)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=64 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=72 Succeeded, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,62],[0,4,38],[0,5,69],[1,3,48],[1,4,81],[1,5,55],[2,3,91],[2,4,93],[3,4,52],[3,5,11],[4,5,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,62],[0,4,38],[0,5,69],[1,3,48],[1,4,81],[1,5,55],[2,3,91],[2,4,93],[3,4,52],[3,5,11],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,62],[0,4,38],[0,5,69],[1,3,48],[1,4,81],[1,5,55],[2,3,91],[2,4,93],[3,4,52],[3,5,11],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,62],[0,4,38],[0,5,69],[1,3,48],[1,4,81],[1,5,55],[2,3,91],[2,4,93],[3,4,52],[3,5,11],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11, w=11\",\"Add (4,5)=14, w=25\",\"Add (0,4)=38, w=63\",\"Add (1,3)=48, w=111\",\"Add (2,3)=91, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,62],[0,4,38],[0,5,69],[1,3,48],[1,4,81],[1,5,55],[2,3,91],[2,4,93],[3,4,52],[3,5,11],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11 Succeeded, w=11\",\"Add (4,5)=14 Succeeded, w=25\",\"Add (0,4)=38 Succeeded, w=63\",\"Add (1,3)=48 Succeeded, w=111\",\"Add (3,4)=52 Failed, w=111\",\"Add (1,5)=55 Failed, w=111\",\"Add (0,3)=62 Failed, w=111\",\"Add (0,5)=69 Failed, w=111\",\"Add (1,4)=81 Failed, w=111\",\"Add (2,3)=91 Succeeded, w=202\",\"Add (2,4)=93 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,62],[0,4,38],[0,5,69],[1,3,48],[1,4,81],[1,5,55],[2,3,91],[2,4,93],[3,4,52],[3,5,11],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(4,5)=14,(0,4)=38,(1,3)=48,(3,4)=52,(1,5)=55,(0,3)=62,(0,5)=69,(1,4)=81,(2,3)=91,(2,4)=93]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Find(4)=4, Find(5)=3, Add (4,5)=14 Succeeded, w=25\",\"Find(0)=0, Find(4)=3, Add (0,4)=38 Succeeded, w=63\",\"Find(1)=1, Find(3)=3, Add (1,3)=48 Succeeded, w=111\",\"Find(3)=3, Find(4)=3, Add (3,4)=52 Failed, w=111\",\"Find(1)=3, Find(5)=3, Add (1,5)=55 Failed, w=111\",\"Find(0)=3, Find(3)=3, Add (0,3)=62 Failed, w=111\",\"Find(0)=3, Find(5)=3, Add (0,5)=69 Failed, w=111\",\"Find(1)=3, Find(4)=3, Add (1,4)=81 Failed, w=111\",\"Find(2)=2, Find(3)=3, Add (2,3)=91 Succeeded, w=202\",\"Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,62],[0,4,38],[0,5,69],[1,3,48],[1,4,81],[1,5,55],[2,3,91],[2,4,93],[3,4,52],[3,5,11],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(4,5)=14,(0,4)=38,(1,3)=48,(3,4)=52,(1,5)=55,(0,3)=62,(0,5)=69,(1,4)=81,(2,3)=91,(2,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=14 Succeeded, w=25\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(4)=3, Add (0,4)=38 Succeeded, w=63\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=48 Succeeded, w=111\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=52 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=55 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=62 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=69 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=81 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=91 Succeeded, w=202\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,2,96],[0,3,53],[0,4,59],[1,4,99],[2,3,15],[2,4,57],[3,4,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,96],[0,3,53],[0,4,59],[1,4,99],[2,3,15],[2,4,57],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,96],[0,3,53],[0,4,59],[1,4,99],[2,3,15],[2,4,57],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,96],[0,3,53],[0,4,59],[1,4,99],[2,3,15],[2,4,57],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15, w=15\",\"Add (0,3)=53, w=68\",\"Add (3,4)=53, w=121\",\"Add (0,1)=65, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,96],[0,3,53],[0,4,59],[1,4,99],[2,3,15],[2,4,57],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15 Succeeded, w=15\",\"Add (0,3)=53 Succeeded, w=68\",\"Add (3,4)=53 Succeeded, w=121\",\"Add (2,4)=57 Failed, w=121\",\"Add (0,4)=59 Failed, w=121\",\"Add (0,1)=65 Succeeded, w=186\",\"Add (0,2)=96 Failed, w=186\",\"Add (1,4)=99 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,96],[0,3,53],[0,4,59],[1,4,99],[2,3,15],[2,4,57],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,3)=53,(3,4)=53,(2,4)=57,(0,4)=59,(0,1)=65,(0,2)=96,(1,4)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=2, Add (0,3)=53 Succeeded, w=68\",\"Find(3)=2, Find(4)=4, Add (3,4)=53 Succeeded, w=121\",\"Find(2)=2, Find(4)=2, Add (2,4)=57 Failed, w=121\",\"Find(0)=2, Find(4)=2, Add (0,4)=59 Failed, w=121\",\"Find(0)=2, Find(1)=1, Add (0,1)=65 Succeeded, w=186\",\"Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=186\",\"Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,96],[0,3,53],[0,4,59],[1,4,99],[2,3,15],[2,4,57],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,3)=53,(3,4)=53,(2,4)=57,(0,4)=59,(0,1)=65,(0,2)=96,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=53 Succeeded, w=68\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=53 Succeeded, w=121\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=57 Failed, w=121\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=59 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=65 Succeeded, w=186\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=96 Failed, w=186\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=186\"],\"Answer\":186}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,2,65],[0,3,23],[0,4,26],[0,5,32],[0,6,81],[1,2,21],[1,3,72],[1,4,53],[1,5,27],[1,6,53],[2,3,3],[2,4,62],[2,5,50],[2,6,42],[3,4,95],[3,5,74],[3,6,33],[4,5,22],[4,6,85],[5,6,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,65],[0,3,23],[0,4,26],[0,5,32],[0,6,81],[1,2,21],[1,3,72],[1,4,53],[1,5,27],[1,6,53],[2,3,3],[2,4,62],[2,5,50],[2,6,42],[3,4,95],[3,5,74],[3,6,33],[4,5,22],[4,6,85],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,65],[0,3,23],[0,4,26],[0,5,32],[0,6,81],[1,2,21],[1,3,72],[1,4,53],[1,5,27],[1,6,53],[2,3,3],[2,4,62],[2,5,50],[2,6,42],[3,4,95],[3,5,74],[3,6,33],[4,5,22],[4,6,85],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (3,6)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,65],[0,3,23],[0,4,26],[0,5,32],[0,6,81],[1,2,21],[1,3,72],[1,4,53],[1,5,27],[1,6,53],[2,3,3],[2,4,62],[2,5,50],[2,6,42],[3,4,95],[3,5,74],[3,6,33],[4,5,22],[4,6,85],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (0,1)=21, w=24\",\"Add (1,2)=21, w=45\",\"Add (4,5)=22, w=67\",\"Add (0,4)=26, w=93\",\"Add (3,6)=33, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,65],[0,3,23],[0,4,26],[0,5,32],[0,6,81],[1,2,21],[1,3,72],[1,4,53],[1,5,27],[1,6,53],[2,3,3],[2,4,62],[2,5,50],[2,6,42],[3,4,95],[3,5,74],[3,6,33],[4,5,22],[4,6,85],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,1)=21 Succeeded, w=24\",\"Add (1,2)=21 Succeeded, w=45\",\"Add (4,5)=22 Succeeded, w=67\",\"Add (0,3)=23 Failed, w=67\",\"Add (0,4)=26 Succeeded, w=93\",\"Add (1,5)=27 Failed, w=93\",\"Add (0,5)=32 Failed, w=93\",\"Add (3,6)=33 Succeeded, w=126\",\"Add (2,6)=42 Failed, w=126\",\"Add (2,5)=50 Failed, w=126\",\"Add (1,4)=53 Failed, w=126\",\"Add (1,6)=53 Failed, w=126\",\"Add (2,4)=62 Failed, w=126\",\"Add (0,2)=65 Failed, w=126\",\"Add (5,6)=71 Failed, w=126\",\"Add (1,3)=72 Failed, w=126\",\"Add (3,5)=74 Failed, w=126\",\"Add (0,6)=81 Failed, w=126\",\"Add (4,6)=85 Failed, w=126\",\"Add (3,4)=95 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,65],[0,3,23],[0,4,26],[0,5,32],[0,6,81],[1,2,21],[1,3,72],[1,4,53],[1,5,27],[1,6,53],[2,3,3],[2,4,62],[2,5,50],[2,6,42],[3,4,95],[3,5,74],[3,6,33],[4,5,22],[4,6,85],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,1)=21,(1,2)=21,(4,5)=22,(0,3)=23,(0,4)=26,(1,5)=27,(0,5)=32,(3,6)=33,(2,6)=42,(2,5)=50,(1,4)=53,(1,6)=53,(2,4)=62,(0,2)=65,(5,6)=71,(1,3)=72,(3,5)=74,(0,6)=81,(4,6)=85,(3,4)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=24\",\"Find(1)=0, Find(2)=2, Add (1,2)=21 Succeeded, w=45\",\"Find(4)=4, Find(5)=5, Add (4,5)=22 Succeeded, w=67\",\"Find(0)=0, Find(3)=0, Add (0,3)=23 Failed, w=67\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=93\",\"Find(1)=0, Find(5)=0, Add (1,5)=27 Failed, w=93\",\"Find(0)=0, Find(5)=0, Add (0,5)=32 Failed, w=93\",\"Find(3)=0, Find(6)=6, Add (3,6)=33 Succeeded, w=126\",\"Find(2)=0, Find(6)=0, Add (2,6)=42 Failed, w=126\",\"Find(2)=0, Find(5)=0, Add (2,5)=50 Failed, w=126\",\"Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=126\",\"Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=126\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=126\",\"Find(0)=0, Find(2)=0, Add (0,2)=65 Failed, w=126\",\"Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=126\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=126\",\"Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=126\",\"Find(0)=0, Find(6)=0, Add (0,6)=81 Failed, w=126\",\"Find(4)=0, Find(6)=0, Add (4,6)=85 Failed, w=126\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,65],[0,3,23],[0,4,26],[0,5,32],[0,6,81],[1,2,21],[1,3,72],[1,4,53],[1,5,27],[1,6,53],[2,3,3],[2,4,62],[2,5,50],[2,6,42],[3,4,95],[3,5,74],[3,6,33],[4,5,22],[4,6,85],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,1)=21,(1,2)=21,(4,5)=22,(0,3)=23,(0,4)=26,(1,5)=27,(0,5)=32,(3,6)=33,(2,6)=42,(2,5)=50,(1,4)=53,(1,6)=53,(2,4)=62,(0,2)=65,(5,6)=71,(1,3)=72,(3,5)=74,(0,6)=81,(4,6)=85,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 5, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=21 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=22 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=23 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(5)=0, Add (1,5)=27 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=0, Add (0,5)=32 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=33 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=42 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=50 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=53 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=126\",\"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=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=81 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=85 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,89],[0,2,79],[0,4,53],[0,6,32],[0,7,49],[1,2,3],[1,3,34],[1,4,10],[2,3,67],[2,4,51],[2,6,37],[2,7,1],[3,4,47],[3,5,63],[3,6,26],[3,7,87],[4,6,18],[4,7,71],[5,6,43],[6,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,4,53],[0,6,32],[0,7,49],[1,2,3],[1,3,34],[1,4,10],[2,3,67],[2,4,51],[2,6,37],[2,7,1],[3,4,47],[3,5,63],[3,6,26],[3,7,87],[4,6,18],[4,7,71],[5,6,43],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,4,53],[0,6,32],[0,7,49],[1,2,3],[1,3,34],[1,4,10],[2,3,67],[2,4,51],[2,6,37],[2,7,1],[3,4,47],[3,5,63],[3,6,26],[3,7,87],[4,6,18],[4,7,71],[5,6,43],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (4,6)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (5,6)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,4,53],[0,6,32],[0,7,49],[1,2,3],[1,3,34],[1,4,10],[2,3,67],[2,4,51],[2,6,37],[2,7,1],[3,4,47],[3,5,63],[3,6,26],[3,7,87],[4,6,18],[4,7,71],[5,6,43],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=1, w=1\",\"Add (1,2)=3, w=4\",\"Add (1,4)=10, w=14\",\"Add (4,6)=18, w=32\",\"Add (3,6)=26, w=58\",\"Add (0,6)=32, w=90\",\"Add (5,6)=43, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,4,53],[0,6,32],[0,7,49],[1,2,3],[1,3,34],[1,4,10],[2,3,67],[2,4,51],[2,6,37],[2,7,1],[3,4,47],[3,5,63],[3,6,26],[3,7,87],[4,6,18],[4,7,71],[5,6,43],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=1 Succeeded, w=1\",\"Add (1,2)=3 Succeeded, w=4\",\"Add (1,4)=10 Succeeded, w=14\",\"Add (4,6)=18 Succeeded, w=32\",\"Add (3,6)=26 Succeeded, w=58\",\"Add (0,6)=32 Succeeded, w=90\",\"Add (1,3)=34 Failed, w=90\",\"Add (2,6)=37 Failed, w=90\",\"Add (5,6)=43 Succeeded, w=133\",\"Add (3,4)=47 Failed, w=133\",\"Add (0,7)=49 Failed, w=133\",\"Add (2,4)=51 Failed, w=133\",\"Add (0,4)=53 Failed, w=133\",\"Add (3,5)=63 Failed, w=133\",\"Add (2,3)=67 Failed, w=133\",\"Add (4,7)=71 Failed, w=133\",\"Add (0,2)=79 Failed, w=133\",\"Add (6,7)=84 Failed, w=133\",\"Add (3,7)=87 Failed, w=133\",\"Add (0,1)=89 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,4,53],[0,6,32],[0,7,49],[1,2,3],[1,3,34],[1,4,10],[2,3,67],[2,4,51],[2,6,37],[2,7,1],[3,4,47],[3,5,63],[3,6,26],[3,7,87],[4,6,18],[4,7,71],[5,6,43],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=1,(1,2)=3,(1,4)=10,(4,6)=18,(3,6)=26,(0,6)=32,(1,3)=34,(2,6)=37,(5,6)=43,(3,4)=47,(0,7)=49,(2,4)=51,(0,4)=53,(3,5)=63,(2,3)=67,(4,7)=71,(0,2)=79,(6,7)=84,(3,7)=87,(0,1)=89]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=4\",\"Find(1)=2, Find(4)=4, Add (1,4)=10 Succeeded, w=14\",\"Find(4)=2, Find(6)=6, Add (4,6)=18 Succeeded, w=32\",\"Find(3)=3, Find(6)=2, Add (3,6)=26 Succeeded, w=58\",\"Find(0)=0, Find(6)=2, Add (0,6)=32 Succeeded, w=90\",\"Find(1)=2, Find(3)=2, Add (1,3)=34 Failed, w=90\",\"Find(2)=2, Find(6)=2, Add (2,6)=37 Failed, w=90\",\"Find(5)=5, Find(6)=2, Add (5,6)=43 Succeeded, w=133\",\"Find(3)=2, Find(4)=2, Add (3,4)=47 Failed, w=133\",\"Find(0)=2, Find(7)=2, Add (0,7)=49 Failed, w=133\",\"Find(2)=2, Find(4)=2, Add (2,4)=51 Failed, w=133\",\"Find(0)=2, Find(4)=2, Add (0,4)=53 Failed, w=133\",\"Find(3)=2, Find(5)=2, Add (3,5)=63 Failed, w=133\",\"Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=133\",\"Find(4)=2, Find(7)=2, Add (4,7)=71 Failed, w=133\",\"Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=133\",\"Find(6)=2, Find(7)=2, Add (6,7)=84 Failed, w=133\",\"Find(3)=2, Find(7)=2, Add (3,7)=87 Failed, w=133\",\"Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,79],[0,4,53],[0,6,32],[0,7,49],[1,2,3],[1,3,34],[1,4,10],[2,3,67],[2,4,51],[2,6,37],[2,7,1],[3,4,47],[3,5,63],[3,6,26],[3,7,87],[4,6,18],[4,7,71],[5,6,43],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=1,(1,2)=3,(1,4)=10,(4,6)=18,(3,6)=26,(0,6)=32,(1,3)=34,(2,6)=37,(5,6)=43,(3,4)=47,(0,7)=49,(2,4)=51,(0,4)=53,(3,5)=63,(2,3)=67,(4,7)=71,(0,2)=79,(6,7)=84,(3,7)=87,(0,1)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 2}, Find(1)=2, Find(4)=4, Add (1,4)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 2}, Find(4)=2, Find(6)=6, Add (4,6)=18 Succeeded, w=32\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(3)=3, Find(6)=2, Add (3,6)=26 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(0)=0, Find(6)=2, Add (0,6)=32 Succeeded, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=34 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=37 Failed, w=90\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=5, Find(6)=2, Add (5,6)=43 Succeeded, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=47 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=49 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=51 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=53 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=63 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=67 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=71 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=79 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=84 Failed, w=133\",\"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)=87 Failed, w=133\",\"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)=89 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,68],[0,2,74],[0,3,79],[0,4,65],[0,5,91],[0,6,28],[0,7,30],[1,2,58],[1,3,5],[1,4,98],[1,5,61],[1,6,44],[2,3,18],[2,4,90],[2,5,12],[2,6,33],[2,7,32],[3,4,52],[3,5,21],[3,6,86],[3,7,41],[4,5,89],[4,6,64],[4,7,99],[5,6,97],[5,7,63],[6,7,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,79],[0,4,65],[0,5,91],[0,6,28],[0,7,30],[1,2,58],[1,3,5],[1,4,98],[1,5,61],[1,6,44],[2,3,18],[2,4,90],[2,5,12],[2,6,33],[2,7,32],[3,4,52],[3,5,21],[3,6,86],[3,7,41],[4,5,89],[4,6,64],[4,7,99],[5,6,97],[5,7,63],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,79],[0,4,65],[0,5,91],[0,6,28],[0,7,30],[1,2,58],[1,3,5],[1,4,98],[1,5,61],[1,6,44],[2,3,18],[2,4,90],[2,5,12],[2,6,33],[2,7,32],[3,4,52],[3,5,21],[3,6,86],[3,7,41],[4,5,89],[4,6,64],[4,7,99],[5,6,97],[5,7,63],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (0,7)\",\"Add (2,7)\",\"Add (3,4)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,79],[0,4,65],[0,5,91],[0,6,28],[0,7,30],[1,2,58],[1,3,5],[1,4,98],[1,5,61],[1,6,44],[2,3,18],[2,4,90],[2,5,12],[2,6,33],[2,7,32],[3,4,52],[3,5,21],[3,6,86],[3,7,41],[4,5,89],[4,6,64],[4,7,99],[5,6,97],[5,7,63],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (2,5)=12, w=17\",\"Add (2,3)=18, w=35\",\"Add (0,6)=28, w=63\",\"Add (0,7)=30, w=93\",\"Add (2,7)=32, w=125\",\"Add (3,4)=52, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,79],[0,4,65],[0,5,91],[0,6,28],[0,7,30],[1,2,58],[1,3,5],[1,4,98],[1,5,61],[1,6,44],[2,3,18],[2,4,90],[2,5,12],[2,6,33],[2,7,32],[3,4,52],[3,5,21],[3,6,86],[3,7,41],[4,5,89],[4,6,64],[4,7,99],[5,6,97],[5,7,63],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (2,5)=12 Succeeded, w=17\",\"Add (2,3)=18 Succeeded, w=35\",\"Add (3,5)=21 Failed, w=35\",\"Add (0,6)=28 Succeeded, w=63\",\"Add (0,7)=30 Succeeded, w=93\",\"Add (2,7)=32 Succeeded, w=125\",\"Add (2,6)=33 Failed, w=125\",\"Add (3,7)=41 Failed, w=125\",\"Add (1,6)=44 Failed, w=125\",\"Add (3,4)=52 Succeeded, w=177\",\"Add (1,2)=58 Failed, w=177\",\"Add (1,5)=61 Failed, w=177\",\"Add (5,7)=63 Failed, w=177\",\"Add (4,6)=64 Failed, w=177\",\"Add (0,4)=65 Failed, w=177\",\"Add (0,1)=68 Failed, w=177\",\"Add (0,2)=74 Failed, w=177\",\"Add (0,3)=79 Failed, w=177\",\"Add (6,7)=79 Failed, w=177\",\"Add (3,6)=86 Failed, w=177\",\"Add (4,5)=89 Failed, w=177\",\"Add (2,4)=90 Failed, w=177\",\"Add (0,5)=91 Failed, w=177\",\"Add (5,6)=97 Failed, w=177\",\"Add (1,4)=98 Failed, w=177\",\"Add (4,7)=99 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,79],[0,4,65],[0,5,91],[0,6,28],[0,7,30],[1,2,58],[1,3,5],[1,4,98],[1,5,61],[1,6,44],[2,3,18],[2,4,90],[2,5,12],[2,6,33],[2,7,32],[3,4,52],[3,5,21],[3,6,86],[3,7,41],[4,5,89],[4,6,64],[4,7,99],[5,6,97],[5,7,63],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,5)=12,(2,3)=18,(3,5)=21,(0,6)=28,(0,7)=30,(2,7)=32,(2,6)=33,(3,7)=41,(1,6)=44,(3,4)=52,(1,2)=58,(1,5)=61,(5,7)=63,(4,6)=64,(0,4)=65,(0,1)=68,(0,2)=74,(0,3)=79,(6,7)=79,(3,6)=86,(4,5)=89,(2,4)=90,(0,5)=91,(5,6)=97,(1,4)=98,(4,7)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=17\",\"Find(2)=2, Find(3)=1, Add (2,3)=18 Succeeded, w=35\",\"Find(3)=2, Find(5)=2, Add (3,5)=21 Failed, w=35\",\"Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=63\",\"Find(0)=0, Find(7)=7, Add (0,7)=30 Succeeded, w=93\",\"Find(2)=2, Find(7)=0, Add (2,7)=32 Succeeded, w=125\",\"Find(2)=2, Find(6)=2, Add (2,6)=33 Failed, w=125\",\"Find(3)=2, Find(7)=2, Add (3,7)=41 Failed, w=125\",\"Find(1)=2, Find(6)=2, Add (1,6)=44 Failed, w=125\",\"Find(3)=2, Find(4)=4, Add (3,4)=52 Succeeded, w=177\",\"Find(1)=2, Find(2)=2, Add (1,2)=58 Failed, w=177\",\"Find(1)=2, Find(5)=2, Add (1,5)=61 Failed, w=177\",\"Find(5)=2, Find(7)=2, Add (5,7)=63 Failed, w=177\",\"Find(4)=2, Find(6)=2, Add (4,6)=64 Failed, w=177\",\"Find(0)=2, Find(4)=2, Add (0,4)=65 Failed, w=177\",\"Find(0)=2, Find(1)=2, Add (0,1)=68 Failed, w=177\",\"Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=177\",\"Find(0)=2, Find(3)=2, Add (0,3)=79 Failed, w=177\",\"Find(6)=2, Find(7)=2, Add (6,7)=79 Failed, w=177\",\"Find(3)=2, Find(6)=2, Add (3,6)=86 Failed, w=177\",\"Find(4)=2, Find(5)=2, Add (4,5)=89 Failed, w=177\",\"Find(2)=2, Find(4)=2, Add (2,4)=90 Failed, w=177\",\"Find(0)=2, Find(5)=2, Add (0,5)=91 Failed, w=177\",\"Find(5)=2, Find(6)=2, Add (5,6)=97 Failed, w=177\",\"Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=177\",\"Find(4)=2, Find(7)=2, Add (4,7)=99 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,74],[0,3,79],[0,4,65],[0,5,91],[0,6,28],[0,7,30],[1,2,58],[1,3,5],[1,4,98],[1,5,61],[1,6,44],[2,3,18],[2,4,90],[2,5,12],[2,6,33],[2,7,32],[3,4,52],[3,5,21],[3,6,86],[3,7,41],[4,5,89],[4,6,64],[4,7,99],[5,6,97],[5,7,63],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(2,5)=12,(2,3)=18,(3,5)=21,(0,6)=28,(0,7)=30,(2,7)=32,(2,6)=33,(3,7)=41,(1,6)=44,(3,4)=52,(1,2)=58,(1,5)=61,(5,7)=63,(4,6)=64,(0,4)=65,(0,1)=68,(0,2)=74,(0,3)=79,(6,7)=79,(3,6)=86,(4,5)=89,(2,4)=90,(0,5)=91,(5,6)=97,(1,4)=98,(4,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(3)=1, Add (2,3)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=2, Add (3,5)=21 Failed, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=28 Succeeded, w=63\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=30 Succeeded, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 0, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=32 Succeeded, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 0}, Find(2)=2, Find(6)=2, Add (2,6)=33 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=41 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=44 Failed, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=4, Add (3,4)=52 Succeeded, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=58 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=61 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=63 Failed, w=177\",\"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)=64 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=65 Failed, w=177\",\"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)=68 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=177\",\"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)=79 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=79 Failed, w=177\",\"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)=86 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=89 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=90 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=91 Failed, w=177\",\"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)=97 Failed, w=177\",\"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)=98 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=99 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,53],[0,5,46],[0,6,14],[1,2,8],[1,3,26],[1,4,26],[1,5,8],[1,6,12],[2,3,3],[2,4,76],[2,6,71],[3,4,89],[3,6,42],[4,5,2],[4,6,51],[5,6,31],[6,7,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,53],[0,5,46],[0,6,14],[1,2,8],[1,3,26],[1,4,26],[1,5,8],[1,6,12],[2,3,3],[2,4,76],[2,6,71],[3,4,89],[3,6,42],[4,5,2],[4,6,51],[5,6,31],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,53],[0,5,46],[0,6,14],[1,2,8],[1,3,26],[1,4,26],[1,5,8],[1,6,12],[2,3,3],[2,4,76],[2,6,71],[3,4,89],[3,6,42],[4,5,2],[4,6,51],[5,6,31],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (1,6)\",\"Add (0,6)\",\"Add (6,7)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,53],[0,5,46],[0,6,14],[1,2,8],[1,3,26],[1,4,26],[1,5,8],[1,6,12],[2,3,3],[2,4,76],[2,6,71],[3,4,89],[3,6,42],[4,5,2],[4,6,51],[5,6,31],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (2,3)=3, w=5\",\"Add (1,2)=8, w=13\",\"Add (1,5)=8, w=21\",\"Add (1,6)=12, w=33\",\"Add (0,6)=14, w=47\",\"Add (6,7)=29, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,53],[0,5,46],[0,6,14],[1,2,8],[1,3,26],[1,4,26],[1,5,8],[1,6,12],[2,3,3],[2,4,76],[2,6,71],[3,4,89],[3,6,42],[4,5,2],[4,6,51],[5,6,31],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (2,3)=3 Succeeded, w=5\",\"Add (1,2)=8 Succeeded, w=13\",\"Add (1,5)=8 Succeeded, w=21\",\"Add (1,6)=12 Succeeded, w=33\",\"Add (0,6)=14 Succeeded, w=47\",\"Add (1,3)=26 Failed, w=47\",\"Add (1,4)=26 Failed, w=47\",\"Add (6,7)=29 Succeeded, w=76\",\"Add (5,6)=31 Failed, w=76\",\"Add (3,6)=42 Failed, w=76\",\"Add (0,5)=46 Failed, w=76\",\"Add (4,6)=51 Failed, w=76\",\"Add (0,3)=53 Failed, w=76\",\"Add (2,6)=71 Failed, w=76\",\"Add (2,4)=76 Failed, w=76\",\"Add (3,4)=89 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,53],[0,5,46],[0,6,14],[1,2,8],[1,3,26],[1,4,26],[1,5,8],[1,6,12],[2,3,3],[2,4,76],[2,6,71],[3,4,89],[3,6,42],[4,5,2],[4,6,51],[5,6,31],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(2,3)=3,(1,2)=8,(1,5)=8,(1,6)=12,(0,6)=14,(1,3)=26,(1,4)=26,(6,7)=29,(5,6)=31,(3,6)=42,(0,5)=46,(4,6)=51,(0,3)=53,(2,6)=71,(2,4)=76,(3,4)=89]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=13\",\"Find(1)=2, Find(5)=4, Add (1,5)=8 Succeeded, w=21\",\"Find(1)=2, Find(6)=6, Add (1,6)=12 Succeeded, w=33\",\"Find(0)=0, Find(6)=2, Add (0,6)=14 Succeeded, w=47\",\"Find(1)=2, Find(3)=2, Add (1,3)=26 Failed, w=47\",\"Find(1)=2, Find(4)=2, Add (1,4)=26 Failed, w=47\",\"Find(6)=2, Find(7)=7, Add (6,7)=29 Succeeded, w=76\",\"Find(5)=2, Find(6)=2, Add (5,6)=31 Failed, w=76\",\"Find(3)=2, Find(6)=2, Add (3,6)=42 Failed, w=76\",\"Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=76\",\"Find(4)=2, Find(6)=2, Add (4,6)=51 Failed, w=76\",\"Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=76\",\"Find(2)=2, Find(6)=2, Add (2,6)=71 Failed, w=76\",\"Find(2)=2, Find(4)=2, Add (2,4)=76 Failed, w=76\",\"Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,53],[0,5,46],[0,6,14],[1,2,8],[1,3,26],[1,4,26],[1,5,8],[1,6,12],[2,3,3],[2,4,76],[2,6,71],[3,4,89],[3,6,42],[4,5,2],[4,6,51],[5,6,31],[6,7,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(2,3)=3,(1,2)=8,(1,5)=8,(1,6)=12,(0,6)=14,(1,3)=26,(1,4)=26,(6,7)=29,(5,6)=31,(3,6)=42,(0,5)=46,(4,6)=51,(0,3)=53,(2,6)=71,(2,4)=76,(3,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 7}, Find(1)=2, Find(5)=4, Add (1,5)=8 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 7}, Find(1)=2, Find(6)=6, Add (1,6)=12 Succeeded, w=33\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 7}, Find(0)=0, Find(6)=2, Add (0,6)=14 Succeeded, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 7}, Find(1)=2, Find(3)=2, Add (1,3)=26 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 7}, Find(1)=2, Find(4)=2, Add (1,4)=26 Failed, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(6)=2, Find(7)=7, Add (6,7)=29 Succeeded, w=76\",\"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)=31 Failed, w=76\",\"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)=42 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=76\",\"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)=51 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=76\",\"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)=71 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=76 Failed, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,31],[0,3,39],[0,4,76],[0,5,48],[0,6,76],[0,7,96],[1,3,49],[1,4,59],[1,7,46],[2,3,62],[3,4,57],[3,5,11],[3,7,83],[4,6,57],[6,7,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,3,39],[0,4,76],[0,5,48],[0,6,76],[0,7,96],[1,3,49],[1,4,59],[1,7,46],[2,3,62],[3,4,57],[3,5,11],[3,7,83],[4,6,57],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,3,39],[0,4,76],[0,5,48],[0,6,76],[0,7,96],[1,3,49],[1,4,59],[1,7,46],[2,3,62],[3,4,57],[3,5,11],[3,7,83],[4,6,57],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,7)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,3,39],[0,4,76],[0,5,48],[0,6,76],[0,7,96],[1,3,49],[1,4,59],[1,7,46],[2,3,62],[3,4,57],[3,5,11],[3,7,83],[4,6,57],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0, w=0\",\"Add (3,5)=11, w=11\",\"Add (0,2)=31, w=42\",\"Add (0,3)=39, w=81\",\"Add (1,7)=46, w=127\",\"Add (1,3)=49, w=176\",\"Add (3,4)=57, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,3,39],[0,4,76],[0,5,48],[0,6,76],[0,7,96],[1,3,49],[1,4,59],[1,7,46],[2,3,62],[3,4,57],[3,5,11],[3,7,83],[4,6,57],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0 Succeeded, w=0\",\"Add (3,5)=11 Succeeded, w=11\",\"Add (0,2)=31 Succeeded, w=42\",\"Add (0,3)=39 Succeeded, w=81\",\"Add (1,7)=46 Succeeded, w=127\",\"Add (0,5)=48 Failed, w=127\",\"Add (1,3)=49 Succeeded, w=176\",\"Add (3,4)=57 Succeeded, w=233\",\"Add (4,6)=57 Failed, w=233\",\"Add (1,4)=59 Failed, w=233\",\"Add (2,3)=62 Failed, w=233\",\"Add (0,4)=76 Failed, w=233\",\"Add (0,6)=76 Failed, w=233\",\"Add (3,7)=83 Failed, w=233\",\"Add (0,7)=96 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,3,39],[0,4,76],[0,5,48],[0,6,76],[0,7,96],[1,3,49],[1,4,59],[1,7,46],[2,3,62],[3,4,57],[3,5,11],[3,7,83],[4,6,57],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(3,5)=11,(0,2)=31,(0,3)=39,(1,7)=46,(0,5)=48,(1,3)=49,(3,4)=57,(4,6)=57,(1,4)=59,(2,3)=62,(0,4)=76,(0,6)=76,(3,7)=83,(0,7)=96]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=42\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=81\",\"Find(1)=1, Find(7)=6, Add (1,7)=46 Succeeded, w=127\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=127\",\"Find(1)=6, Find(3)=0, Add (1,3)=49 Succeeded, w=176\",\"Find(3)=0, Find(4)=4, Add (3,4)=57 Succeeded, w=233\",\"Find(4)=0, Find(6)=0, Add (4,6)=57 Failed, w=233\",\"Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=233\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=233\",\"Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=233\",\"Find(0)=0, Find(6)=0, Add (0,6)=76 Failed, w=233\",\"Find(3)=0, Find(7)=0, Add (3,7)=83 Failed, w=233\",\"Find(0)=0, Find(7)=0, Add (0,7)=96 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,31],[0,3,39],[0,4,76],[0,5,48],[0,6,76],[0,7,96],[1,3,49],[1,4,59],[1,7,46],[2,3,62],[3,4,57],[3,5,11],[3,7,83],[4,6,57],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(3,5)=11,(0,2)=31,(0,3)=39,(1,7)=46,(0,5)=48,(1,3)=49,(3,4)=57,(4,6)=57,(1,4)=59,(2,3)=62,(0,4)=76,(0,6)=76,(3,7)=83,(0,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 6, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=81\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 0, 4: 4, 5: 3, 6: 6, 7: 6}, Find(1)=1, Find(7)=6, Add (1,7)=46 Succeeded, w=127\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 6}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=127\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 6}, Find(1)=6, Find(3)=0, Add (1,3)=49 Succeeded, w=176\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(3)=0, Find(4)=4, Add (3,4)=57 Succeeded, w=233\",\"Parent: {0: 0, 1: 6, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(4)=0, Find(6)=0, Add (4,6)=57 Failed, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(4)=0, Add (0,4)=76 Failed, w=233\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(6)=0, Add (0,6)=76 Failed, w=233\",\"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)=83 Failed, w=233\",\"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)=96 Failed, w=233\"],\"Answer\":233}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,87],[0,2,61],[2,3,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,61],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,61],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,61],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=31, w=31\",\"Add (0,2)=61, w=92\",\"Add (0,1)=87, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,61],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=31 Succeeded, w=31\",\"Add (0,2)=61 Succeeded, w=92\",\"Add (0,1)=87 Succeeded, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,61],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=31,(0,2)=61,(0,1)=87]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=31\",\"Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=92\",\"Find(0)=2, Find(1)=1, Add (0,1)=87 Succeeded, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,61],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=31,(0,2)=61,(0,1)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=61 Succeeded, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=87 Succeeded, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,68],[0,3,33],[0,4,97],[0,5,0],[1,2,69],[1,3,6],[1,4,12],[2,3,72],[2,4,91],[2,5,31],[3,5,0],[4,5,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,68],[0,3,33],[0,4,97],[0,5,0],[1,2,69],[1,3,6],[1,4,12],[2,3,72],[2,4,91],[2,5,31],[3,5,0],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,68],[0,3,33],[0,4,97],[0,5,0],[1,2,69],[1,3,6],[1,4,12],[2,3,72],[2,4,91],[2,5,31],[3,5,0],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,68],[0,3,33],[0,4,97],[0,5,0],[1,2,69],[1,3,6],[1,4,12],[2,3,72],[2,4,91],[2,5,31],[3,5,0],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (3,5)=0, w=0\",\"Add (1,3)=6, w=6\",\"Add (1,4)=12, w=18\",\"Add (2,5)=31, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,68],[0,3,33],[0,4,97],[0,5,0],[1,2,69],[1,3,6],[1,4,12],[2,3,72],[2,4,91],[2,5,31],[3,5,0],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (3,5)=0 Succeeded, w=0\",\"Add (1,3)=6 Succeeded, w=6\",\"Add (1,4)=12 Succeeded, w=18\",\"Add (2,5)=31 Succeeded, w=49\",\"Add (0,3)=33 Failed, w=49\",\"Add (0,2)=68 Failed, w=49\",\"Add (4,5)=68 Failed, w=49\",\"Add (1,2)=69 Failed, w=49\",\"Add (2,3)=72 Failed, w=49\",\"Add (2,4)=91 Failed, w=49\",\"Add (0,4)=97 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,68],[0,3,33],[0,4,97],[0,5,0],[1,2,69],[1,3,6],[1,4,12],[2,3,72],[2,4,91],[2,5,31],[3,5,0],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(3,5)=0,(1,3)=6,(1,4)=12,(2,5)=31,(0,3)=33,(0,2)=68,(4,5)=68,(1,2)=69,(2,3)=72,(2,4)=91,(0,4)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=0, Add (3,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=0, Add (1,3)=6 Succeeded, w=6\",\"Find(1)=0, Find(4)=4, Add (1,4)=12 Succeeded, w=18\",\"Find(2)=2, Find(5)=0, Add (2,5)=31 Succeeded, w=49\",\"Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=49\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=49\",\"Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=49\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=49\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=49\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=49\",\"Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,68],[0,3,33],[0,4,97],[0,5,0],[1,2,69],[1,3,6],[1,4,12],[2,3,72],[2,4,91],[2,5,31],[3,5,0],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(3,5)=0,(1,3)=6,(1,4)=12,(2,5)=31,(0,3)=33,(0,2)=68,(4,5)=68,(1,2)=69,(2,3)=72,(2,4)=91,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=31 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=33 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,63],[0,3,17],[0,4,2],[0,6,98],[1,2,80],[1,4,77],[1,6,14],[2,3,81],[2,4,60],[2,6,39],[3,5,5],[5,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,63],[0,3,17],[0,4,2],[0,6,98],[1,2,80],[1,4,77],[1,6,14],[2,3,81],[2,4,60],[2,6,39],[3,5,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,63],[0,3,17],[0,4,2],[0,6,98],[1,2,80],[1,4,77],[1,6,14],[2,3,81],[2,4,60],[2,6,39],[3,5,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,5)\",\"Add (1,6)\",\"Add (0,3)\",\"Add (5,6)\",\"Add (2,6)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,63],[0,3,17],[0,4,2],[0,6,98],[1,2,80],[1,4,77],[1,6,14],[2,3,81],[2,4,60],[2,6,39],[3,5,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (3,5)=5, w=7\",\"Add (1,6)=14, w=21\",\"Add (0,3)=17, w=38\",\"Add (5,6)=19, w=57\",\"Add (2,6)=39, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,63],[0,3,17],[0,4,2],[0,6,98],[1,2,80],[1,4,77],[1,6,14],[2,3,81],[2,4,60],[2,6,39],[3,5,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,5)=5 Succeeded, w=7\",\"Add (1,6)=14 Succeeded, w=21\",\"Add (0,3)=17 Succeeded, w=38\",\"Add (5,6)=19 Succeeded, w=57\",\"Add (2,6)=39 Succeeded, w=96\",\"Add (2,4)=60 Failed, w=96\",\"Add (0,1)=61 Failed, w=96\",\"Add (0,2)=63 Failed, w=96\",\"Add (1,4)=77 Failed, w=96\",\"Add (1,2)=80 Failed, w=96\",\"Add (2,3)=81 Failed, w=96\",\"Add (0,6)=98 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,63],[0,3,17],[0,4,2],[0,6,98],[1,2,80],[1,4,77],[1,6,14],[2,3,81],[2,4,60],[2,6,39],[3,5,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,5)=5,(1,6)=14,(0,3)=17,(5,6)=19,(2,6)=39,(2,4)=60,(0,1)=61,(0,2)=63,(1,4)=77,(1,2)=80,(2,3)=81,(0,6)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=7\",\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=38\",\"Find(5)=0, Find(6)=1, Add (5,6)=19 Succeeded, w=57\",\"Find(2)=2, Find(6)=0, Add (2,6)=39 Succeeded, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=96\",\"Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=96\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=96\",\"Find(0)=0, Find(6)=0, Add (0,6)=98 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,63],[0,3,17],[0,4,2],[0,6,98],[1,2,80],[1,4,77],[1,6,14],[2,3,81],[2,4,60],[2,6,39],[3,5,5],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,5)=5,(1,6)=14,(0,3)=17,(5,6)=19,(2,6)=39,(2,4)=60,(0,1)=61,(0,2)=63,(1,4)=77,(1,2)=80,(2,3)=81,(0,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 3, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 1}, Find(5)=0, Find(6)=1, Add (5,6)=19 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=39 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=63 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=98 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,82],[0,2,78],[0,3,86],[0,4,89],[1,3,17],[1,4,22],[2,3,40],[2,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,86],[0,4,89],[1,3,17],[1,4,22],[2,3,40],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,86],[0,4,89],[1,3,17],[1,4,22],[2,3,40],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,86],[0,4,89],[1,3,17],[1,4,22],[2,3,40],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=17, w=17\",\"Add (1,4)=22, w=39\",\"Add (2,3)=40, w=79\",\"Add (0,2)=78, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,86],[0,4,89],[1,3,17],[1,4,22],[2,3,40],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=17 Succeeded, w=17\",\"Add (1,4)=22 Succeeded, w=39\",\"Add (2,3)=40 Succeeded, w=79\",\"Add (2,4)=42 Failed, w=79\",\"Add (0,2)=78 Succeeded, w=157\",\"Add (0,1)=82 Failed, w=157\",\"Add (0,3)=86 Failed, w=157\",\"Add (0,4)=89 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,86],[0,4,89],[1,3,17],[1,4,22],[2,3,40],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=17,(1,4)=22,(2,3)=40,(2,4)=42,(0,2)=78,(0,1)=82,(0,3)=86,(0,4)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=39\",\"Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=79\",\"Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=79\",\"Find(0)=0, Find(2)=1, Add (0,2)=78 Succeeded, w=157\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=157\",\"Find(0)=1, Find(3)=1, Add (0,3)=86 Failed, w=157\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,78],[0,3,86],[0,4,89],[1,3,17],[1,4,22],[2,3,40],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=17,(1,4)=22,(2,3)=40,(2,4)=42,(0,2)=78,(0,1)=82,(0,3)=86,(0,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=78 Succeeded, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=86 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,49],[0,2,97],[0,4,92],[0,5,68],[1,2,34],[1,3,41],[1,4,8],[1,5,32],[2,3,8],[2,4,87],[2,5,43],[3,4,58],[3,5,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,97],[0,4,92],[0,5,68],[1,2,34],[1,3,41],[1,4,8],[1,5,32],[2,3,8],[2,4,87],[2,5,43],[3,4,58],[3,5,53]]}",
"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\":[[0,1,49],[0,2,97],[0,4,92],[0,5,68],[1,2,34],[1,3,41],[1,4,8],[1,5,32],[2,3,8],[2,4,87],[2,5,43],[3,4,58],[3,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,97],[0,4,92],[0,5,68],[1,2,34],[1,3,41],[1,4,8],[1,5,32],[2,3,8],[2,4,87],[2,5,43],[3,4,58],[3,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8, w=8\",\"Add (2,3)=8, w=16\",\"Add (1,5)=32, w=48\",\"Add (1,2)=34, w=82\",\"Add (0,1)=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\":[[0,1,49],[0,2,97],[0,4,92],[0,5,68],[1,2,34],[1,3,41],[1,4,8],[1,5,32],[2,3,8],[2,4,87],[2,5,43],[3,4,58],[3,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8 Succeeded, w=8\",\"Add (2,3)=8 Succeeded, w=16\",\"Add (1,5)=32 Succeeded, w=48\",\"Add (1,2)=34 Succeeded, w=82\",\"Add (1,3)=41 Failed, w=82\",\"Add (2,5)=43 Failed, w=82\",\"Add (0,1)=49 Succeeded, w=131\",\"Add (3,5)=53 Failed, w=131\",\"Add (3,4)=58 Failed, w=131\",\"Add (0,5)=68 Failed, w=131\",\"Add (2,4)=87 Failed, w=131\",\"Add (0,4)=92 Failed, w=131\",\"Add (0,2)=97 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\":[[0,1,49],[0,2,97],[0,4,92],[0,5,68],[1,2,34],[1,3,41],[1,4,8],[1,5,32],[2,3,8],[2,4,87],[2,5,43],[3,4,58],[3,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(2,3)=8,(1,5)=32,(1,2)=34,(1,3)=41,(2,5)=43,(0,1)=49,(3,5)=53,(3,4)=58,(0,5)=68,(2,4)=87,(0,4)=92,(0,2)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=16\",\"Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=48\",\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=82\",\"Find(1)=1, Find(3)=1, Add (1,3)=41 Failed, w=82\",\"Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=82\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=131\",\"Find(3)=1, Find(5)=1, Add (3,5)=53 Failed, w=131\",\"Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=131\",\"Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=131\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=131\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=131\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 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\":[[0,1,49],[0,2,97],[0,4,92],[0,5,68],[1,2,34],[1,3,41],[1,4,8],[1,5,32],[2,3,8],[2,4,87],[2,5,43],[3,4,58],[3,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(2,3)=8,(1,5)=32,(1,2)=34,(1,3)=41,(2,5)=43,(0,1)=49,(3,5)=53,(3,4)=58,(0,5)=68,(2,4)=87,(0,4)=92,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=41 Failed, w=82\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=53 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,68],[0,4,64],[0,5,38],[0,7,94],[1,2,37],[1,6,23],[2,3,16],[2,5,57],[3,4,81],[3,5,43],[3,7,12],[4,7,53],[5,6,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,68],[0,4,64],[0,5,38],[0,7,94],[1,2,37],[1,6,23],[2,3,16],[2,5,57],[3,4,81],[3,5,43],[3,7,12],[4,7,53],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,68],[0,4,64],[0,5,38],[0,7,94],[1,2,37],[1,6,23],[2,3,16],[2,5,57],[3,4,81],[3,5,43],[3,7,12],[4,7,53],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (5,6)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (4,7)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,68],[0,4,64],[0,5,38],[0,7,94],[1,2,37],[1,6,23],[2,3,16],[2,5,57],[3,4,81],[3,5,43],[3,7,12],[4,7,53],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=12, w=12\",\"Add (5,6)=13, w=25\",\"Add (2,3)=16, w=41\",\"Add (1,6)=23, w=64\",\"Add (1,2)=37, w=101\",\"Add (0,5)=38, w=139\",\"Add (4,7)=53, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,68],[0,4,64],[0,5,38],[0,7,94],[1,2,37],[1,6,23],[2,3,16],[2,5,57],[3,4,81],[3,5,43],[3,7,12],[4,7,53],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=12 Succeeded, w=12\",\"Add (5,6)=13 Succeeded, w=25\",\"Add (2,3)=16 Succeeded, w=41\",\"Add (1,6)=23 Succeeded, w=64\",\"Add (1,2)=37 Succeeded, w=101\",\"Add (0,5)=38 Succeeded, w=139\",\"Add (3,5)=43 Failed, w=139\",\"Add (4,7)=53 Succeeded, w=192\",\"Add (2,5)=57 Failed, w=192\",\"Add (0,4)=64 Failed, w=192\",\"Add (0,3)=68 Failed, w=192\",\"Add (3,4)=81 Failed, w=192\",\"Add (0,7)=94 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,68],[0,4,64],[0,5,38],[0,7,94],[1,2,37],[1,6,23],[2,3,16],[2,5,57],[3,4,81],[3,5,43],[3,7,12],[4,7,53],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=12,(5,6)=13,(2,3)=16,(1,6)=23,(1,2)=37,(0,5)=38,(3,5)=43,(4,7)=53,(2,5)=57,(0,4)=64,(0,3)=68,(3,4)=81,(0,7)=94]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=12 Succeeded, w=12\",\"Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=25\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=41\",\"Find(1)=1, Find(6)=5, Add (1,6)=23 Succeeded, w=64\",\"Find(1)=5, Find(2)=3, Add (1,2)=37 Succeeded, w=101\",\"Find(0)=0, Find(5)=5, Add (0,5)=38 Succeeded, w=139\",\"Find(3)=5, Find(5)=5, Add (3,5)=43 Failed, w=139\",\"Find(4)=4, Find(7)=5, Add (4,7)=53 Succeeded, w=192\",\"Find(2)=5, Find(5)=5, Add (2,5)=57 Failed, w=192\",\"Find(0)=5, Find(4)=5, Add (0,4)=64 Failed, w=192\",\"Find(0)=5, Find(3)=5, Add (0,3)=68 Failed, w=192\",\"Find(3)=5, Find(4)=5, Add (3,4)=81 Failed, w=192\",\"Find(0)=5, Find(7)=5, Add (0,7)=94 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,68],[0,4,64],[0,5,38],[0,7,94],[1,2,37],[1,6,23],[2,3,16],[2,5,57],[3,4,81],[3,5,43],[3,7,12],[4,7,53],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=12,(5,6)=13,(2,3)=16,(1,6)=23,(1,2)=37,(0,5)=38,(3,5)=43,(4,7)=53,(2,5)=57,(0,4)=64,(0,3)=68,(3,4)=81,(0,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=41\",\"Parent: {0: 0, 1: 5, 2: 3, 3: 3, 4: 4, 5: 5, 6: 5, 7: 3}, Find(1)=1, Find(6)=5, Add (1,6)=23 Succeeded, w=64\",\"Parent: {0: 0, 1: 5, 2: 3, 3: 5, 4: 4, 5: 5, 6: 5, 7: 3}, Find(1)=5, Find(2)=3, Add (1,2)=37 Succeeded, w=101\",\"Parent: {0: 5, 1: 5, 2: 3, 3: 5, 4: 4, 5: 5, 6: 5, 7: 3}, Find(0)=0, Find(5)=5, Add (0,5)=38 Succeeded, w=139\",\"Parent: {0: 5, 1: 5, 2: 3, 3: 5, 4: 4, 5: 5, 6: 5, 7: 3}, Find(3)=5, Find(5)=5, Add (3,5)=43 Failed, w=139\",\"Parent: {0: 5, 1: 5, 2: 3, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=4, Find(7)=5, Add (4,7)=53 Succeeded, w=192\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=57 Failed, w=192\",\"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)=64 Failed, w=192\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=5, Add (0,3)=68 Failed, w=192\",\"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)=81 Failed, w=192\",\"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)=94 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,95],[0,3,68],[0,4,26],[0,5,40],[0,7,81],[1,2,75],[1,3,95],[1,4,32],[1,5,12],[1,6,38],[1,7,25],[2,3,2],[2,4,61],[2,5,23],[2,7,97],[3,4,74],[3,5,10],[3,6,28],[3,7,22],[4,5,66],[4,6,99],[4,7,96],[5,6,48],[6,7,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,3,68],[0,4,26],[0,5,40],[0,7,81],[1,2,75],[1,3,95],[1,4,32],[1,5,12],[1,6,38],[1,7,25],[2,3,2],[2,4,61],[2,5,23],[2,7,97],[3,4,74],[3,5,10],[3,6,28],[3,7,22],[4,5,66],[4,6,99],[4,7,96],[5,6,48],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,3,68],[0,4,26],[0,5,40],[0,7,81],[1,2,75],[1,3,95],[1,4,32],[1,5,12],[1,6,38],[1,7,25],[2,3,2],[2,4,61],[2,5,23],[2,7,97],[3,4,74],[3,5,10],[3,6,28],[3,7,22],[4,5,66],[4,6,99],[4,7,96],[5,6,48],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (3,7)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (1,4)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,3,68],[0,4,26],[0,5,40],[0,7,81],[1,2,75],[1,3,95],[1,4,32],[1,5,12],[1,6,38],[1,7,25],[2,3,2],[2,4,61],[2,5,23],[2,7,97],[3,4,74],[3,5,10],[3,6,28],[3,7,22],[4,5,66],[4,6,99],[4,7,96],[5,6,48],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (3,5)=10, w=12\",\"Add (1,5)=12, w=24\",\"Add (3,7)=22, w=46\",\"Add (0,4)=26, w=72\",\"Add (3,6)=28, w=100\",\"Add (1,4)=32, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,3,68],[0,4,26],[0,5,40],[0,7,81],[1,2,75],[1,3,95],[1,4,32],[1,5,12],[1,6,38],[1,7,25],[2,3,2],[2,4,61],[2,5,23],[2,7,97],[3,4,74],[3,5,10],[3,6,28],[3,7,22],[4,5,66],[4,6,99],[4,7,96],[5,6,48],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (3,5)=10 Succeeded, w=12\",\"Add (1,5)=12 Succeeded, w=24\",\"Add (3,7)=22 Succeeded, w=46\",\"Add (2,5)=23 Failed, w=46\",\"Add (1,7)=25 Failed, w=46\",\"Add (0,4)=26 Succeeded, w=72\",\"Add (3,6)=28 Succeeded, w=100\",\"Add (1,4)=32 Succeeded, w=132\",\"Add (1,6)=38 Failed, w=132\",\"Add (0,5)=40 Failed, w=132\",\"Add (5,6)=48 Failed, w=132\",\"Add (6,7)=57 Failed, w=132\",\"Add (2,4)=61 Failed, w=132\",\"Add (4,5)=66 Failed, w=132\",\"Add (0,3)=68 Failed, w=132\",\"Add (3,4)=74 Failed, w=132\",\"Add (1,2)=75 Failed, w=132\",\"Add (0,7)=81 Failed, w=132\",\"Add (0,1)=95 Failed, w=132\",\"Add (1,3)=95 Failed, w=132\",\"Add (4,7)=96 Failed, w=132\",\"Add (2,7)=97 Failed, w=132\",\"Add (4,6)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,3,68],[0,4,26],[0,5,40],[0,7,81],[1,2,75],[1,3,95],[1,4,32],[1,5,12],[1,6,38],[1,7,25],[2,3,2],[2,4,61],[2,5,23],[2,7,97],[3,4,74],[3,5,10],[3,6,28],[3,7,22],[4,5,66],[4,6,99],[4,7,96],[5,6,48],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(3,5)=10,(1,5)=12,(3,7)=22,(2,5)=23,(1,7)=25,(0,4)=26,(3,6)=28,(1,4)=32,(1,6)=38,(0,5)=40,(5,6)=48,(6,7)=57,(2,4)=61,(4,5)=66,(0,3)=68,(3,4)=74,(1,2)=75,(0,7)=81,(0,1)=95,(1,3)=95,(4,7)=96,(2,7)=97,(4,6)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(3)=2, Find(5)=5, Add (3,5)=10 Succeeded, w=12\",\"Find(1)=1, Find(5)=2, Add (1,5)=12 Succeeded, w=24\",\"Find(3)=2, Find(7)=7, Add (3,7)=22 Succeeded, w=46\",\"Find(2)=2, Find(5)=2, Add (2,5)=23 Failed, w=46\",\"Find(1)=2, Find(7)=2, Add (1,7)=25 Failed, w=46\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=72\",\"Find(3)=2, Find(6)=6, Add (3,6)=28 Succeeded, w=100\",\"Find(1)=2, Find(4)=0, Add (1,4)=32 Succeeded, w=132\",\"Find(1)=2, Find(6)=2, Add (1,6)=38 Failed, w=132\",\"Find(0)=2, Find(5)=2, Add (0,5)=40 Failed, w=132\",\"Find(5)=2, Find(6)=2, Add (5,6)=48 Failed, w=132\",\"Find(6)=2, Find(7)=2, Add (6,7)=57 Failed, w=132\",\"Find(2)=2, Find(4)=2, Add (2,4)=61 Failed, w=132\",\"Find(4)=2, Find(5)=2, Add (4,5)=66 Failed, w=132\",\"Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=132\",\"Find(3)=2, Find(4)=2, Add (3,4)=74 Failed, w=132\",\"Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=132\",\"Find(0)=2, Find(7)=2, Add (0,7)=81 Failed, w=132\",\"Find(0)=2, Find(1)=2, Add (0,1)=95 Failed, w=132\",\"Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=132\",\"Find(4)=2, Find(7)=2, Add (4,7)=96 Failed, w=132\",\"Find(2)=2, Find(7)=2, Add (2,7)=97 Failed, w=132\",\"Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,3,68],[0,4,26],[0,5,40],[0,7,81],[1,2,75],[1,3,95],[1,4,32],[1,5,12],[1,6,38],[1,7,25],[2,3,2],[2,4,61],[2,5,23],[2,7,97],[3,4,74],[3,5,10],[3,6,28],[3,7,22],[4,5,66],[4,6,99],[4,7,96],[5,6,48],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(3,5)=10,(1,5)=12,(3,7)=22,(2,5)=23,(1,7)=25,(0,4)=26,(3,6)=28,(1,4)=32,(1,6)=38,(0,5)=40,(5,6)=48,(6,7)=57,(2,4)=61,(4,5)=66,(0,3)=68,(3,4)=74,(1,2)=75,(0,7)=81,(0,1)=95,(1,3)=95,(4,7)=96,(2,7)=97,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 7}, Find(3)=2, Find(5)=5, Add (3,5)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(5)=2, Add (1,5)=12 Succeeded, w=24\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 2}, Find(3)=2, Find(7)=7, Add (3,7)=22 Succeeded, w=46\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=23 Failed, w=46\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=25 Failed, w=46\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 6, 7: 2}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=72\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=6, Add (3,6)=28 Succeeded, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=0, Add (1,4)=32 Succeeded, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=38 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=40 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=48 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=57 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=61 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=66 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=68 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=74 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=75 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=81 Failed, w=132\",\"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)=95 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=96 Failed, w=132\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=97 Failed, w=132\",\"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)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,97],[0,4,93],[1,3,10],[1,4,99],[2,3,46],[2,4,5],[3,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,97],[0,4,93],[1,3,10],[1,4,99],[2,3,46],[2,4,5],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,97],[0,4,93],[1,3,10],[1,4,99],[2,3,46],[2,4,5],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,97],[0,4,93],[1,3,10],[1,4,99],[2,3,46],[2,4,5],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (1,3)=10, w=15\",\"Add (2,3)=46, w=61\",\"Add (0,4)=93, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,97],[0,4,93],[1,3,10],[1,4,99],[2,3,46],[2,4,5],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (1,3)=10 Succeeded, w=15\",\"Add (2,3)=46 Succeeded, w=61\",\"Add (3,4)=62 Failed, w=61\",\"Add (0,4)=93 Succeeded, w=154\",\"Add (0,3)=97 Failed, w=154\",\"Add (1,4)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,97],[0,4,93],[1,3,10],[1,4,99],[2,3,46],[2,4,5],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,3)=10,(2,3)=46,(3,4)=62,(0,4)=93,(0,3)=97,(1,4)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=15\",\"Find(2)=2, Find(3)=1, Add (2,3)=46 Succeeded, w=61\",\"Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=61\",\"Find(0)=0, Find(4)=2, Add (0,4)=93 Succeeded, w=154\",\"Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=154\",\"Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,97],[0,4,93],[1,3,10],[1,4,99],[2,3,46],[2,4,5],[3,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,3)=10,(2,3)=46,(3,4)=62,(0,4)=93,(0,3)=97,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=46 Succeeded, w=61\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=61\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=93 Succeeded, w=154\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=154\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=99 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,70],[0,3,31],[0,4,89],[0,5,42],[0,7,49],[1,5,1],[1,6,42],[2,3,11],[2,5,23],[2,6,28],[2,7,86],[3,4,75],[3,5,97],[3,6,83],[3,7,100],[4,5,9],[4,7,79],[5,6,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,3,31],[0,4,89],[0,5,42],[0,7,49],[1,5,1],[1,6,42],[2,3,11],[2,5,23],[2,6,28],[2,7,86],[3,4,75],[3,5,97],[3,6,83],[3,7,100],[4,5,9],[4,7,79],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,3,31],[0,4,89],[0,5,42],[0,7,49],[1,5,1],[1,6,42],[2,3,11],[2,5,23],[2,6,28],[2,7,86],[3,4,75],[3,5,97],[3,6,83],[3,7,100],[4,5,9],[4,7,79],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (0,7)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,3,31],[0,4,89],[0,5,42],[0,7,49],[1,5,1],[1,6,42],[2,3,11],[2,5,23],[2,6,28],[2,7,86],[3,4,75],[3,5,97],[3,6,83],[3,7,100],[4,5,9],[4,7,79],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (4,5)=9, w=10\",\"Add (2,3)=11, w=21\",\"Add (2,5)=23, w=44\",\"Add (2,6)=28, w=72\",\"Add (0,3)=31, w=103\",\"Add (0,7)=49, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,3,31],[0,4,89],[0,5,42],[0,7,49],[1,5,1],[1,6,42],[2,3,11],[2,5,23],[2,6,28],[2,7,86],[3,4,75],[3,5,97],[3,6,83],[3,7,100],[4,5,9],[4,7,79],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (4,5)=9 Succeeded, w=10\",\"Add (2,3)=11 Succeeded, w=21\",\"Add (2,5)=23 Succeeded, w=44\",\"Add (2,6)=28 Succeeded, w=72\",\"Add (0,3)=31 Succeeded, w=103\",\"Add (5,6)=36 Failed, w=103\",\"Add (0,5)=42 Failed, w=103\",\"Add (1,6)=42 Failed, w=103\",\"Add (0,7)=49 Succeeded, w=152\",\"Add (0,1)=70 Failed, w=152\",\"Add (3,4)=75 Failed, w=152\",\"Add (4,7)=79 Failed, w=152\",\"Add (3,6)=83 Failed, w=152\",\"Add (2,7)=86 Failed, w=152\",\"Add (0,4)=89 Failed, w=152\",\"Add (3,5)=97 Failed, w=152\",\"Add (3,7)=100 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,3,31],[0,4,89],[0,5,42],[0,7,49],[1,5,1],[1,6,42],[2,3,11],[2,5,23],[2,6,28],[2,7,86],[3,4,75],[3,5,97],[3,6,83],[3,7,100],[4,5,9],[4,7,79],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(4,5)=9,(2,3)=11,(2,5)=23,(2,6)=28,(0,3)=31,(5,6)=36,(0,5)=42,(1,6)=42,(0,7)=49,(0,1)=70,(3,4)=75,(4,7)=79,(3,6)=83,(2,7)=86,(0,4)=89,(3,5)=97,(3,7)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=21\",\"Find(2)=2, Find(5)=1, Add (2,5)=23 Succeeded, w=44\",\"Find(2)=2, Find(6)=6, Add (2,6)=28 Succeeded, w=72\",\"Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=103\",\"Find(5)=2, Find(6)=2, Add (5,6)=36 Failed, w=103\",\"Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=103\",\"Find(1)=2, Find(6)=2, Add (1,6)=42 Failed, w=103\",\"Find(0)=2, Find(7)=7, Add (0,7)=49 Succeeded, w=152\",\"Find(0)=2, Find(1)=2, Add (0,1)=70 Failed, w=152\",\"Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=152\",\"Find(4)=2, Find(7)=2, Add (4,7)=79 Failed, w=152\",\"Find(3)=2, Find(6)=2, Add (3,6)=83 Failed, w=152\",\"Find(2)=2, Find(7)=2, Add (2,7)=86 Failed, w=152\",\"Find(0)=2, Find(4)=2, Add (0,4)=89 Failed, w=152\",\"Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=152\",\"Find(3)=2, Find(7)=2, Add (3,7)=100 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,3,31],[0,4,89],[0,5,42],[0,7,49],[1,5,1],[1,6,42],[2,3,11],[2,5,23],[2,6,28],[2,7,86],[3,4,75],[3,5,97],[3,6,83],[3,7,100],[4,5,9],[4,7,79],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(4,5)=9,(2,3)=11,(2,5)=23,(2,6)=28,(0,3)=31,(5,6)=36,(0,5)=42,(1,6)=42,(0,7)=49,(0,1)=70,(3,4)=75,(4,7)=79,(3,6)=83,(2,7)=86,(0,4)=89,(3,5)=97,(3,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6, 7: 7}, Find(4)=4, Find(5)=1, Add (4,5)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(5)=1, Add (2,5)=23 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=28 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2, 7: 7}, Find(0)=0, Find(3)=2, Add (0,3)=31 Succeeded, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=2, Add (5,6)=36 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 7}, Find(1)=2, Find(6)=2, Add (1,6)=42 Failed, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=7, Add (0,7)=49 Succeeded, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=70 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=75 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=79 Failed, w=152\",\"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)=83 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=86 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=89 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=152\",\"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)=100 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,53],[0,3,35],[0,5,80],[1,2,77],[1,3,59],[1,4,25],[1,5,49],[2,3,84],[2,5,56],[2,6,59],[3,4,31],[3,5,87],[4,5,7],[4,6,81],[5,6,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,35],[0,5,80],[1,2,77],[1,3,59],[1,4,25],[1,5,49],[2,3,84],[2,5,56],[2,6,59],[3,4,31],[3,5,87],[4,5,7],[4,6,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,35],[0,5,80],[1,2,77],[1,3,59],[1,4,25],[1,5,49],[2,3,84],[2,5,56],[2,6,59],[3,4,31],[3,5,87],[4,5,7],[4,6,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (5,6)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (2,5)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,35],[0,5,80],[1,2,77],[1,3,59],[1,4,25],[1,5,49],[2,3,84],[2,5,56],[2,6,59],[3,4,31],[3,5,87],[4,5,7],[4,6,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7, w=7\",\"Add (5,6)=22, w=29\",\"Add (1,4)=25, w=54\",\"Add (3,4)=31, w=85\",\"Add (0,3)=35, w=120\",\"Add (2,5)=56, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,35],[0,5,80],[1,2,77],[1,3,59],[1,4,25],[1,5,49],[2,3,84],[2,5,56],[2,6,59],[3,4,31],[3,5,87],[4,5,7],[4,6,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7 Succeeded, w=7\",\"Add (5,6)=22 Succeeded, w=29\",\"Add (1,4)=25 Succeeded, w=54\",\"Add (3,4)=31 Succeeded, w=85\",\"Add (0,3)=35 Succeeded, w=120\",\"Add (1,5)=49 Failed, w=120\",\"Add (0,1)=53 Failed, w=120\",\"Add (2,5)=56 Succeeded, w=176\",\"Add (1,3)=59 Failed, w=176\",\"Add (2,6)=59 Failed, w=176\",\"Add (1,2)=77 Failed, w=176\",\"Add (0,5)=80 Failed, w=176\",\"Add (4,6)=81 Failed, w=176\",\"Add (2,3)=84 Failed, w=176\",\"Add (3,5)=87 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,35],[0,5,80],[1,2,77],[1,3,59],[1,4,25],[1,5,49],[2,3,84],[2,5,56],[2,6,59],[3,4,31],[3,5,87],[4,5,7],[4,6,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(5,6)=22,(1,4)=25,(3,4)=31,(0,3)=35,(1,5)=49,(0,1)=53,(2,5)=56,(1,3)=59,(2,6)=59,(1,2)=77,(0,5)=80,(4,6)=81,(2,3)=84,(3,5)=87]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Find(5)=4, Find(6)=6, Add (5,6)=22 Succeeded, w=29\",\"Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=54\",\"Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=85\",\"Find(0)=0, Find(3)=4, Add (0,3)=35 Succeeded, w=120\",\"Find(1)=4, Find(5)=4, Add (1,5)=49 Failed, w=120\",\"Find(0)=4, Find(1)=4, Add (0,1)=53 Failed, w=120\",\"Find(2)=2, Find(5)=4, Add (2,5)=56 Succeeded, w=176\",\"Find(1)=4, Find(3)=4, Add (1,3)=59 Failed, w=176\",\"Find(2)=4, Find(6)=4, Add (2,6)=59 Failed, w=176\",\"Find(1)=4, Find(2)=4, Add (1,2)=77 Failed, w=176\",\"Find(0)=4, Find(5)=4, Add (0,5)=80 Failed, w=176\",\"Find(4)=4, Find(6)=4, Add (4,6)=81 Failed, w=176\",\"Find(2)=4, Find(3)=4, Add (2,3)=84 Failed, w=176\",\"Find(3)=4, Find(5)=4, Add (3,5)=87 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,35],[0,5,80],[1,2,77],[1,3,59],[1,4,25],[1,5,49],[2,3,84],[2,5,56],[2,6,59],[3,4,31],[3,5,87],[4,5,7],[4,6,81],[5,6,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(5,6)=22,(1,4)=25,(3,4)=31,(0,3)=35,(1,5)=49,(0,1)=53,(2,5)=56,(1,3)=59,(2,6)=59,(1,2)=77,(0,5)=80,(4,6)=81,(2,3)=84,(3,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=6, Add (5,6)=22 Succeeded, w=29\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=25 Succeeded, w=54\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=3, Find(4)=4, Add (3,4)=31 Succeeded, w=85\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(3)=4, Add (0,3)=35 Succeeded, w=120\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=49 Failed, w=120\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=53 Failed, w=120\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=2, Find(5)=4, Add (2,5)=56 Succeeded, w=176\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=59 Failed, w=176\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=59 Failed, w=176\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=77 Failed, w=176\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=80 Failed, w=176\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=81 Failed, w=176\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=84 Failed, w=176\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=87 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,54],[0,3,42],[0,5,80],[0,6,8],[0,7,53],[1,3,93],[1,4,60],[1,5,20],[1,6,64],[2,3,81],[2,5,28],[2,6,17],[3,4,99],[3,5,58],[3,7,77],[4,6,7],[4,7,55],[5,7,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,3,42],[0,5,80],[0,6,8],[0,7,53],[1,3,93],[1,4,60],[1,5,20],[1,6,64],[2,3,81],[2,5,28],[2,6,17],[3,4,99],[3,5,58],[3,7,77],[4,6,7],[4,7,55],[5,7,40]]}",
"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\":[[0,1,54],[0,3,42],[0,5,80],[0,6,8],[0,7,53],[1,3,93],[1,4,60],[1,5,20],[1,6,64],[2,3,81],[2,5,28],[2,6,17],[3,4,99],[3,5,58],[3,7,77],[4,6,7],[4,7,55],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (5,7)\",\"Add (0,3)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,3,42],[0,5,80],[0,6,8],[0,7,53],[1,3,93],[1,4,60],[1,5,20],[1,6,64],[2,3,81],[2,5,28],[2,6,17],[3,4,99],[3,5,58],[3,7,77],[4,6,7],[4,7,55],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7, w=7\",\"Add (0,6)=8, w=15\",\"Add (2,6)=17, w=32\",\"Add (1,5)=20, w=52\",\"Add (2,5)=28, w=80\",\"Add (5,7)=40, w=120\",\"Add (0,3)=42, 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\":[[0,1,54],[0,3,42],[0,5,80],[0,6,8],[0,7,53],[1,3,93],[1,4,60],[1,5,20],[1,6,64],[2,3,81],[2,5,28],[2,6,17],[3,4,99],[3,5,58],[3,7,77],[4,6,7],[4,7,55],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=7 Succeeded, w=7\",\"Add (0,6)=8 Succeeded, w=15\",\"Add (2,6)=17 Succeeded, w=32\",\"Add (1,5)=20 Succeeded, w=52\",\"Add (2,5)=28 Succeeded, w=80\",\"Add (5,7)=40 Succeeded, w=120\",\"Add (0,3)=42 Succeeded, w=162\",\"Add (0,7)=53 Failed, w=162\",\"Add (0,1)=54 Failed, w=162\",\"Add (4,7)=55 Failed, w=162\",\"Add (3,5)=58 Failed, w=162\",\"Add (1,4)=60 Failed, w=162\",\"Add (1,6)=64 Failed, w=162\",\"Add (3,7)=77 Failed, w=162\",\"Add (0,5)=80 Failed, w=162\",\"Add (2,3)=81 Failed, w=162\",\"Add (1,3)=93 Failed, w=162\",\"Add (3,4)=99 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\":[[0,1,54],[0,3,42],[0,5,80],[0,6,8],[0,7,53],[1,3,93],[1,4,60],[1,5,20],[1,6,64],[2,3,81],[2,5,28],[2,6,17],[3,4,99],[3,5,58],[3,7,77],[4,6,7],[4,7,55],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(0,6)=8,(2,6)=17,(1,5)=20,(2,5)=28,(5,7)=40,(0,3)=42,(0,7)=53,(0,1)=54,(4,7)=55,(3,5)=58,(1,4)=60,(1,6)=64,(3,7)=77,(0,5)=80,(2,3)=81,(1,3)=93,(3,4)=99]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=7\",\"Find(0)=0, Find(6)=4, Add (0,6)=8 Succeeded, w=15\",\"Find(2)=2, Find(6)=4, Add (2,6)=17 Succeeded, w=32\",\"Find(1)=1, Find(5)=5, Add (1,5)=20 Succeeded, w=52\",\"Find(2)=4, Find(5)=1, Add (2,5)=28 Succeeded, w=80\",\"Find(5)=4, Find(7)=7, Add (5,7)=40 Succeeded, w=120\",\"Find(0)=4, Find(3)=3, Add (0,3)=42 Succeeded, w=162\",\"Find(0)=4, Find(7)=4, Add (0,7)=53 Failed, w=162\",\"Find(0)=4, Find(1)=4, Add (0,1)=54 Failed, w=162\",\"Find(4)=4, Find(7)=4, Add (4,7)=55 Failed, w=162\",\"Find(3)=4, Find(5)=4, Add (3,5)=58 Failed, w=162\",\"Find(1)=4, Find(4)=4, Add (1,4)=60 Failed, w=162\",\"Find(1)=4, Find(6)=4, Add (1,6)=64 Failed, w=162\",\"Find(3)=4, Find(7)=4, Add (3,7)=77 Failed, w=162\",\"Find(0)=4, Find(5)=4, Add (0,5)=80 Failed, w=162\",\"Find(2)=4, Find(3)=4, Add (2,3)=81 Failed, w=162\",\"Find(1)=4, Find(3)=4, Add (1,3)=93 Failed, w=162\",\"Find(3)=4, Find(4)=4, Add (3,4)=99 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\":[[0,1,54],[0,3,42],[0,5,80],[0,6,8],[0,7,53],[1,3,93],[1,4,60],[1,5,20],[1,6,64],[2,3,81],[2,5,28],[2,6,17],[3,4,99],[3,5,58],[3,7,77],[4,6,7],[4,7,55],[5,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=7,(0,6)=8,(2,6)=17,(1,5)=20,(2,5)=28,(5,7)=40,(0,3)=42,(0,7)=53,(0,1)=54,(4,7)=55,(3,5)=58,(1,4)=60,(1,6)=64,(3,7)=77,(0,5)=80,(2,3)=81,(1,3)=93,(3,4)=99]\",\"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: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(0)=0, Find(6)=4, Add (0,6)=8 Succeeded, w=15\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(2)=2, Find(6)=4, Add (2,6)=17 Succeeded, w=32\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 1, 6: 4, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=20 Succeeded, w=52\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 1, 6: 4, 7: 7}, Find(2)=4, Find(5)=1, Add (2,5)=28 Succeeded, w=80\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=7, Add (5,7)=40 Succeeded, w=120\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=3, Add (0,3)=42 Succeeded, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=53 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=54 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=55 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=58 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=60 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=64 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=77 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=80 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=81 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=93 Failed, w=162\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=99 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,4],[0,2,33],[0,4,77],[0,5,65],[0,6,39],[1,2,97],[1,3,10],[1,4,80],[1,5,90],[1,6,85],[2,4,92],[2,5,77],[2,6,39],[3,5,82],[4,5,70],[4,6,42],[5,6,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,33],[0,4,77],[0,5,65],[0,6,39],[1,2,97],[1,3,10],[1,4,80],[1,5,90],[1,6,85],[2,4,92],[2,5,77],[2,6,39],[3,5,82],[4,5,70],[4,6,42],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,33],[0,4,77],[0,5,65],[0,6,39],[1,2,97],[1,3,10],[1,4,80],[1,5,90],[1,6,85],[2,4,92],[2,5,77],[2,6,39],[3,5,82],[4,5,70],[4,6,42],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (0,5)\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,33],[0,4,77],[0,5,65],[0,6,39],[1,2,97],[1,3,10],[1,4,80],[1,5,90],[1,6,85],[2,4,92],[2,5,77],[2,6,39],[3,5,82],[4,5,70],[4,6,42],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (1,3)=10, w=14\",\"Add (0,2)=33, w=47\",\"Add (0,6)=39, w=86\",\"Add (4,6)=42, w=128\",\"Add (0,5)=65, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,33],[0,4,77],[0,5,65],[0,6,39],[1,2,97],[1,3,10],[1,4,80],[1,5,90],[1,6,85],[2,4,92],[2,5,77],[2,6,39],[3,5,82],[4,5,70],[4,6,42],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (1,3)=10 Succeeded, w=14\",\"Add (0,2)=33 Succeeded, w=47\",\"Add (0,6)=39 Succeeded, w=86\",\"Add (2,6)=39 Failed, w=86\",\"Add (4,6)=42 Succeeded, w=128\",\"Add (0,5)=65 Succeeded, w=193\",\"Add (4,5)=70 Failed, w=193\",\"Add (5,6)=71 Failed, w=193\",\"Add (0,4)=77 Failed, w=193\",\"Add (2,5)=77 Failed, w=193\",\"Add (1,4)=80 Failed, w=193\",\"Add (3,5)=82 Failed, w=193\",\"Add (1,6)=85 Failed, w=193\",\"Add (1,5)=90 Failed, w=193\",\"Add (2,4)=92 Failed, w=193\",\"Add (1,2)=97 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,33],[0,4,77],[0,5,65],[0,6,39],[1,2,97],[1,3,10],[1,4,80],[1,5,90],[1,6,85],[2,4,92],[2,5,77],[2,6,39],[3,5,82],[4,5,70],[4,6,42],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,3)=10,(0,2)=33,(0,6)=39,(2,6)=39,(4,6)=42,(0,5)=65,(4,5)=70,(5,6)=71,(0,4)=77,(2,5)=77,(1,4)=80,(3,5)=82,(1,6)=85,(1,5)=90,(2,4)=92,(1,2)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(1)=0, Find(3)=3, Add (1,3)=10 Succeeded, w=14\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=47\",\"Find(0)=0, Find(6)=6, Add (0,6)=39 Succeeded, w=86\",\"Find(2)=0, Find(6)=0, Add (2,6)=39 Failed, w=86\",\"Find(4)=4, Find(6)=0, Add (4,6)=42 Succeeded, w=128\",\"Find(0)=0, Find(5)=5, Add (0,5)=65 Succeeded, w=193\",\"Find(4)=0, Find(5)=0, Add (4,5)=70 Failed, w=193\",\"Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=193\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=193\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=193\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=193\",\"Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=193\",\"Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=193\",\"Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=193\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=193\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,4],[0,2,33],[0,4,77],[0,5,65],[0,6,39],[1,2,97],[1,3,10],[1,4,80],[1,5,90],[1,6,85],[2,4,92],[2,5,77],[2,6,39],[3,5,82],[4,5,70],[4,6,42],[5,6,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,3)=10,(0,2)=33,(0,6)=39,(2,6)=39,(4,6)=42,(0,5)=65,(4,5)=70,(5,6)=71,(0,4)=77,(2,5)=77,(1,4)=80,(3,5)=82,(1,6)=85,(1,5)=90,(2,4)=92,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=0, Find(3)=3, Add (1,3)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=39 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=39 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=42 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=65 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=70 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=90 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,13],[1,4,80],[2,3,27],[2,4,44],[2,6,31],[3,6,59],[4,5,85],[5,6,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,13],[1,4,80],[2,3,27],[2,4,44],[2,6,31],[3,6,59],[4,5,85],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,13],[1,4,80],[2,3,27],[2,4,44],[2,6,31],[3,6,59],[4,5,85],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (2,6)\",\"Add (2,4)\",\"Add (5,6)\",\"Add (1,4)\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,13],[1,4,80],[2,3,27],[2,4,44],[2,6,31],[3,6,59],[4,5,85],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (2,3)=27, w=40\",\"Add (2,6)=31, w=71\",\"Add (2,4)=44, w=115\",\"Add (5,6)=61, w=176\",\"Add (1,4)=80, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,13],[1,4,80],[2,3,27],[2,4,44],[2,6,31],[3,6,59],[4,5,85],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (2,3)=27 Succeeded, w=40\",\"Add (2,6)=31 Succeeded, w=71\",\"Add (2,4)=44 Succeeded, w=115\",\"Add (3,6)=59 Failed, w=115\",\"Add (5,6)=61 Succeeded, w=176\",\"Add (1,4)=80 Succeeded, w=256\",\"Add (4,5)=85 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,13],[1,4,80],[2,3,27],[2,4,44],[2,6,31],[3,6,59],[4,5,85],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(2,3)=27,(2,6)=31,(2,4)=44,(3,6)=59,(5,6)=61,(1,4)=80,(4,5)=85]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(2)=0, Find(3)=3, Add (2,3)=27 Succeeded, w=40\",\"Find(2)=0, Find(6)=6, Add (2,6)=31 Succeeded, w=71\",\"Find(2)=0, Find(4)=4, Add (2,4)=44 Succeeded, w=115\",\"Find(3)=0, Find(6)=0, Add (3,6)=59 Failed, w=115\",\"Find(5)=5, Find(6)=0, Add (5,6)=61 Succeeded, w=176\",\"Find(1)=1, Find(4)=0, Add (1,4)=80 Succeeded, w=256\",\"Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,13],[1,4,80],[2,3,27],[2,4,44],[2,6,31],[3,6,59],[4,5,85],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(2,3)=27,(2,6)=31,(2,4)=44,(3,6)=59,(5,6)=61,(1,4)=80,(4,5)=85]\",\"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)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(2)=0, Find(3)=3, Add (2,3)=27 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=31 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(4)=4, Add (2,4)=44 Succeeded, w=115\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=59 Failed, w=115\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=61 Succeeded, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=80 Succeeded, w=256\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,18],[0,4,92],[0,5,61],[0,6,2],[1,3,46],[1,4,54],[1,5,74],[1,6,94],[2,3,16],[2,4,73],[3,4,62],[3,5,41],[4,5,69],[4,6,53],[5,6,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,4,92],[0,5,61],[0,6,2],[1,3,46],[1,4,54],[1,5,74],[1,6,94],[2,3,16],[2,4,73],[3,4,62],[3,5,41],[4,5,69],[4,6,53],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,4,92],[0,5,61],[0,6,2],[1,3,46],[1,4,54],[1,5,74],[1,6,94],[2,3,16],[2,4,73],[3,4,62],[3,5,41],[4,5,69],[4,6,53],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (4,6)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,4,92],[0,5,61],[0,6,2],[1,3,46],[1,4,54],[1,5,74],[1,6,94],[2,3,16],[2,4,73],[3,4,62],[3,5,41],[4,5,69],[4,6,53],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2, w=2\",\"Add (2,3)=16, w=18\",\"Add (0,2)=18, w=36\",\"Add (3,5)=41, w=77\",\"Add (1,3)=46, w=123\",\"Add (4,6)=53, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,4,92],[0,5,61],[0,6,2],[1,3,46],[1,4,54],[1,5,74],[1,6,94],[2,3,16],[2,4,73],[3,4,62],[3,5,41],[4,5,69],[4,6,53],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2 Succeeded, w=2\",\"Add (2,3)=16 Succeeded, w=18\",\"Add (0,2)=18 Succeeded, w=36\",\"Add (3,5)=41 Succeeded, w=77\",\"Add (5,6)=45 Failed, w=77\",\"Add (1,3)=46 Succeeded, w=123\",\"Add (4,6)=53 Succeeded, w=176\",\"Add (1,4)=54 Failed, w=176\",\"Add (0,5)=61 Failed, w=176\",\"Add (3,4)=62 Failed, w=176\",\"Add (4,5)=69 Failed, w=176\",\"Add (2,4)=73 Failed, w=176\",\"Add (1,5)=74 Failed, w=176\",\"Add (0,4)=92 Failed, w=176\",\"Add (1,6)=94 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,4,92],[0,5,61],[0,6,2],[1,3,46],[1,4,54],[1,5,74],[1,6,94],[2,3,16],[2,4,73],[3,4,62],[3,5,41],[4,5,69],[4,6,53],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(2,3)=16,(0,2)=18,(3,5)=41,(5,6)=45,(1,3)=46,(4,6)=53,(1,4)=54,(0,5)=61,(3,4)=62,(4,5)=69,(2,4)=73,(1,5)=74,(0,4)=92,(1,6)=94]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=36\",\"Find(3)=0, Find(5)=5, Add (3,5)=41 Succeeded, w=77\",\"Find(5)=0, Find(6)=0, Add (5,6)=45 Failed, w=77\",\"Find(1)=1, Find(3)=0, Add (1,3)=46 Succeeded, w=123\",\"Find(4)=4, Find(6)=0, Add (4,6)=53 Succeeded, w=176\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=176\",\"Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=176\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=176\",\"Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=176\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=176\",\"Find(1)=0, Find(5)=0, Add (1,5)=74 Failed, w=176\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=176\",\"Find(1)=0, Find(6)=0, Add (1,6)=94 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,4,92],[0,5,61],[0,6,2],[1,3,46],[1,4,54],[1,5,74],[1,6,94],[2,3,16],[2,4,73],[3,4,62],[3,5,41],[4,5,69],[4,6,53],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(2,3)=16,(0,2)=18,(3,5)=41,(5,6)=45,(1,3)=46,(4,6)=53,(1,4)=54,(0,5)=61,(3,4)=62,(4,5)=69,(2,4)=73,(1,5)=74,(0,4)=92,(1,6)=94]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(5)=5, Add (3,5)=41 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=45 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=46 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=53 Succeeded, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=61 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=74 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=176\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=94 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,39],[0,3,51],[0,4,21],[1,2,70],[1,4,97],[2,3,35],[3,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,39],[0,3,51],[0,4,21],[1,2,70],[1,4,97],[2,3,35],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,39],[0,3,51],[0,4,21],[1,2,70],[1,4,97],[2,3,35],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,39],[0,3,51],[0,4,21],[1,2,70],[1,4,97],[2,3,35],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=21, w=21\",\"Add (0,1)=26, w=47\",\"Add (2,3)=35, w=82\",\"Add (0,2)=39, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,39],[0,3,51],[0,4,21],[1,2,70],[1,4,97],[2,3,35],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=21 Succeeded, w=21\",\"Add (0,1)=26 Succeeded, w=47\",\"Add (2,3)=35 Succeeded, w=82\",\"Add (0,2)=39 Succeeded, w=121\",\"Add (0,3)=51 Failed, w=121\",\"Add (1,2)=70 Failed, w=121\",\"Add (3,4)=91 Failed, w=121\",\"Add (1,4)=97 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,39],[0,3,51],[0,4,21],[1,2,70],[1,4,97],[2,3,35],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=21,(0,1)=26,(2,3)=35,(0,2)=39,(0,3)=51,(1,2)=70,(3,4)=91,(1,4)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=47\",\"Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=82\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=121\",\"Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=121\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=121\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=121\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,39],[0,3,51],[0,4,21],[1,2,70],[1,4,97],[2,3,35],[3,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=21,(0,1)=26,(2,3)=35,(0,2)=39,(0,3)=51,(1,2)=70,(3,4)=91,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,19],[0,2,9],[0,3,13],[0,4,68],[1,2,94],[1,3,31],[1,4,21],[2,3,23],[2,4,93],[3,4,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,9],[0,3,13],[0,4,68],[1,2,94],[1,3,31],[1,4,21],[2,3,23],[2,4,93],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,9],[0,3,13],[0,4,68],[1,2,94],[1,3,31],[1,4,21],[2,3,23],[2,4,93],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,9],[0,3,13],[0,4,68],[1,2,94],[1,3,31],[1,4,21],[2,3,23],[2,4,93],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (0,3)=13, w=22\",\"Add (0,1)=19, w=41\",\"Add (1,4)=21, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,9],[0,3,13],[0,4,68],[1,2,94],[1,3,31],[1,4,21],[2,3,23],[2,4,93],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,3)=13 Succeeded, w=22\",\"Add (0,1)=19 Succeeded, w=41\",\"Add (1,4)=21 Succeeded, w=62\",\"Add (2,3)=23 Failed, w=62\",\"Add (1,3)=31 Failed, w=62\",\"Add (3,4)=49 Failed, w=62\",\"Add (0,4)=68 Failed, w=62\",\"Add (2,4)=93 Failed, w=62\",\"Add (1,2)=94 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,9],[0,3,13],[0,4,68],[1,2,94],[1,3,31],[1,4,21],[2,3,23],[2,4,93],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,3)=13,(0,1)=19,(1,4)=21,(2,3)=23,(1,3)=31,(3,4)=49,(0,4)=68,(2,4)=93,(1,2)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=41\",\"Find(1)=0, Find(4)=4, Add (1,4)=21 Succeeded, w=62\",\"Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=62\",\"Find(1)=0, Find(3)=0, Add (1,3)=31 Failed, w=62\",\"Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=62\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=62\",\"Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=62\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,9],[0,3,13],[0,4,68],[1,2,94],[1,3,31],[1,4,21],[2,3,23],[2,4,93],[3,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,3)=13,(0,1)=19,(1,4)=21,(2,3)=23,(1,3)=31,(3,4)=49,(0,4)=68,(2,4)=93,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=21 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=31 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,6],[0,3,74],[0,4,97],[1,3,5],[2,3,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,6],[0,3,74],[0,4,97],[1,3,5],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,6],[0,3,74],[0,4,97],[1,3,5],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,6],[0,3,74],[0,4,97],[1,3,5],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (0,2)=6, w=11\",\"Add (2,3)=8, w=19\",\"Add (0,4)=97, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,6],[0,3,74],[0,4,97],[1,3,5],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (0,2)=6 Succeeded, w=11\",\"Add (2,3)=8 Succeeded, w=19\",\"Add (0,3)=74 Failed, w=19\",\"Add (0,4)=97 Succeeded, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,6],[0,3,74],[0,4,97],[1,3,5],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,2)=6,(2,3)=8,(0,3)=74,(0,4)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Find(2)=0, Find(3)=1, Add (2,3)=8 Succeeded, w=19\",\"Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=19\",\"Find(0)=0, Find(4)=4, Add (0,4)=97 Succeeded, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,6],[0,3,74],[0,4,97],[1,3,5],[2,3,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,2)=6,(2,3)=8,(0,3)=74,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4}, Find(2)=0, Find(3)=1, Add (2,3)=8 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=97 Succeeded, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,62],[0,2,76],[0,3,64],[0,4,61],[0,5,64],[1,2,99],[1,3,50],[1,4,79],[1,5,41],[2,3,40],[2,4,72],[2,5,25],[3,4,94],[3,5,81],[4,5,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,76],[0,3,64],[0,4,61],[0,5,64],[1,2,99],[1,3,50],[1,4,79],[1,5,41],[2,3,40],[2,4,72],[2,5,25],[3,4,94],[3,5,81],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,76],[0,3,64],[0,4,61],[0,5,64],[1,2,99],[1,3,50],[1,4,79],[1,5,41],[2,3,40],[2,4,72],[2,5,25],[3,4,94],[3,5,81],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,76],[0,3,64],[0,4,61],[0,5,64],[1,2,99],[1,3,50],[1,4,79],[1,5,41],[2,3,40],[2,4,72],[2,5,25],[3,4,94],[3,5,81],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=25, w=25\",\"Add (4,5)=31, w=56\",\"Add (2,3)=40, w=96\",\"Add (1,5)=41, w=137\",\"Add (0,4)=61, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,76],[0,3,64],[0,4,61],[0,5,64],[1,2,99],[1,3,50],[1,4,79],[1,5,41],[2,3,40],[2,4,72],[2,5,25],[3,4,94],[3,5,81],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=25 Succeeded, w=25\",\"Add (4,5)=31 Succeeded, w=56\",\"Add (2,3)=40 Succeeded, w=96\",\"Add (1,5)=41 Succeeded, w=137\",\"Add (1,3)=50 Failed, w=137\",\"Add (0,4)=61 Succeeded, w=198\",\"Add (0,1)=62 Failed, w=198\",\"Add (0,3)=64 Failed, w=198\",\"Add (0,5)=64 Failed, w=198\",\"Add (2,4)=72 Failed, w=198\",\"Add (0,2)=76 Failed, w=198\",\"Add (1,4)=79 Failed, w=198\",\"Add (3,5)=81 Failed, w=198\",\"Add (3,4)=94 Failed, w=198\",\"Add (1,2)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,76],[0,3,64],[0,4,61],[0,5,64],[1,2,99],[1,3,50],[1,4,79],[1,5,41],[2,3,40],[2,4,72],[2,5,25],[3,4,94],[3,5,81],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=25,(4,5)=31,(2,3)=40,(1,5)=41,(1,3)=50,(0,4)=61,(0,1)=62,(0,3)=64,(0,5)=64,(2,4)=72,(0,2)=76,(1,4)=79,(3,5)=81,(3,4)=94,(1,2)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=25 Succeeded, w=25\",\"Find(4)=4, Find(5)=2, Add (4,5)=31 Succeeded, w=56\",\"Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=96\",\"Find(1)=1, Find(5)=2, Add (1,5)=41 Succeeded, w=137\",\"Find(1)=2, Find(3)=2, Add (1,3)=50 Failed, w=137\",\"Find(0)=0, Find(4)=2, Add (0,4)=61 Succeeded, w=198\",\"Find(0)=2, Find(1)=2, Add (0,1)=62 Failed, w=198\",\"Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=198\",\"Find(0)=2, Find(5)=2, Add (0,5)=64 Failed, w=198\",\"Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=198\",\"Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=198\",\"Find(1)=2, Find(4)=2, Add (1,4)=79 Failed, w=198\",\"Find(3)=2, Find(5)=2, Add (3,5)=81 Failed, w=198\",\"Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=198\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,62],[0,2,76],[0,3,64],[0,4,61],[0,5,64],[1,2,99],[1,3,50],[1,4,79],[1,5,41],[2,3,40],[2,4,72],[2,5,25],[3,4,94],[3,5,81],[4,5,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=25,(4,5)=31,(2,3)=40,(1,5)=41,(1,3)=50,(0,4)=61,(0,1)=62,(0,3)=64,(0,5)=64,(2,4)=72,(0,2)=76,(1,4)=79,(3,5)=81,(3,4)=94,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=31 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=40 Succeeded, w=96\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=41 Succeeded, w=137\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=50 Failed, w=137\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(4)=2, Add (0,4)=61 Succeeded, w=198\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=62 Failed, w=198\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=64 Failed, w=198\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=64 Failed, w=198\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=198\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=198\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=79 Failed, w=198\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=81 Failed, w=198\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=94 Failed, w=198\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,45],[0,3,34],[0,4,61],[1,4,12],[1,5,3],[2,3,33],[3,4,48],[3,5,94],[4,5,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,45],[0,3,34],[0,4,61],[1,4,12],[1,5,3],[2,3,33],[3,4,48],[3,5,94],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,45],[0,3,34],[0,4,61],[1,4,12],[1,5,3],[2,3,33],[3,4,48],[3,5,94],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,45],[0,3,34],[0,4,61],[1,4,12],[1,5,3],[2,3,33],[3,4,48],[3,5,94],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3, w=3\",\"Add (1,4)=12, w=15\",\"Add (2,3)=33, w=48\",\"Add (0,3)=34, w=82\",\"Add (3,4)=48, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,45],[0,3,34],[0,4,61],[1,4,12],[1,5,3],[2,3,33],[3,4,48],[3,5,94],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=3 Succeeded, w=3\",\"Add (1,4)=12 Succeeded, w=15\",\"Add (4,5)=26 Failed, w=15\",\"Add (2,3)=33 Succeeded, w=48\",\"Add (0,3)=34 Succeeded, w=82\",\"Add (0,2)=45 Failed, w=82\",\"Add (3,4)=48 Succeeded, w=130\",\"Add (0,4)=61 Failed, w=130\",\"Add (3,5)=94 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,45],[0,3,34],[0,4,61],[1,4,12],[1,5,3],[2,3,33],[3,4,48],[3,5,94],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(1,4)=12,(4,5)=26,(2,3)=33,(0,3)=34,(0,2)=45,(3,4)=48,(0,4)=61,(3,5)=94]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=15\",\"Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=48\",\"Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=82\",\"Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=82\",\"Find(3)=2, Find(4)=1, Add (3,4)=48 Succeeded, w=130\",\"Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=130\",\"Find(3)=2, Find(5)=2, Add (3,5)=94 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,45],[0,3,34],[0,4,61],[1,4,12],[1,5,3],[2,3,33],[3,4,48],[3,5,94],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=3,(1,4)=12,(4,5)=26,(2,3)=33,(0,3)=34,(0,2)=45,(3,4)=48,(0,4)=61,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=26 Failed, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=48\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=82\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1}, Find(3)=2, Find(4)=1, Add (3,4)=48 Succeeded, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=94 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,3,31],[0,5,64],[1,2,5],[1,4,3],[1,5,62],[2,5,34],[3,5,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,3,31],[0,5,64],[1,2,5],[1,4,3],[1,5,62],[2,5,34],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,3,31],[0,5,64],[1,2,5],[1,4,3],[1,5,62],[2,5,34],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,3,31],[0,5,64],[1,2,5],[1,4,3],[1,5,62],[2,5,34],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (1,2)=5, w=8\",\"Add (0,3)=31, w=39\",\"Add (2,5)=34, w=73\",\"Add (0,1)=41, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,3,31],[0,5,64],[1,2,5],[1,4,3],[1,5,62],[2,5,34],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (1,2)=5 Succeeded, w=8\",\"Add (0,3)=31 Succeeded, w=39\",\"Add (2,5)=34 Succeeded, w=73\",\"Add (0,1)=41 Succeeded, w=114\",\"Add (3,5)=52 Failed, w=114\",\"Add (1,5)=62 Failed, w=114\",\"Add (0,5)=64 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,3,31],[0,5,64],[1,2,5],[1,4,3],[1,5,62],[2,5,34],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,2)=5,(0,3)=31,(2,5)=34,(0,1)=41,(3,5)=52,(1,5)=62,(0,5)=64]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=39\",\"Find(2)=1, Find(5)=5, Add (2,5)=34 Succeeded, w=73\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=114\",\"Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=114\",\"Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=114\",\"Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,3,31],[0,5,64],[1,2,5],[1,4,3],[1,5,62],[2,5,34],[3,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,2)=5,(0,3)=31,(2,5)=34,(0,1)=41,(3,5)=52,(1,5)=62,(0,5)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, 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}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=34 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,26],[0,3,13],[0,5,41],[0,6,9],[1,2,63],[1,3,29],[1,4,38],[1,5,72],[1,6,2],[2,3,66],[2,4,55],[2,5,10],[2,6,5],[3,4,52],[3,5,4],[3,6,92],[4,5,54],[4,6,33],[5,6,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,3,13],[0,5,41],[0,6,9],[1,2,63],[1,3,29],[1,4,38],[1,5,72],[1,6,2],[2,3,66],[2,4,55],[2,5,10],[2,6,5],[3,4,52],[3,5,4],[3,6,92],[4,5,54],[4,6,33],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,3,13],[0,5,41],[0,6,9],[1,2,63],[1,3,29],[1,4,38],[1,5,72],[1,6,2],[2,3,66],[2,4,55],[2,5,10],[2,6,5],[3,4,52],[3,5,4],[3,6,92],[4,5,54],[4,6,33],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (4,6)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,3,13],[0,5,41],[0,6,9],[1,2,63],[1,3,29],[1,4,38],[1,5,72],[1,6,2],[2,3,66],[2,4,55],[2,5,10],[2,6,5],[3,4,52],[3,5,4],[3,6,92],[4,5,54],[4,6,33],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2, w=2\",\"Add (3,5)=4, w=6\",\"Add (2,6)=5, w=11\",\"Add (0,6)=9, w=20\",\"Add (2,5)=10, w=30\",\"Add (4,6)=33, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,3,13],[0,5,41],[0,6,9],[1,2,63],[1,3,29],[1,4,38],[1,5,72],[1,6,2],[2,3,66],[2,4,55],[2,5,10],[2,6,5],[3,4,52],[3,5,4],[3,6,92],[4,5,54],[4,6,33],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=2 Succeeded, w=2\",\"Add (3,5)=4 Succeeded, w=6\",\"Add (2,6)=5 Succeeded, w=11\",\"Add (0,6)=9 Succeeded, w=20\",\"Add (2,5)=10 Succeeded, w=30\",\"Add (0,3)=13 Failed, w=30\",\"Add (5,6)=21 Failed, w=30\",\"Add (0,1)=26 Failed, w=30\",\"Add (1,3)=29 Failed, w=30\",\"Add (4,6)=33 Succeeded, w=63\",\"Add (1,4)=38 Failed, w=63\",\"Add (0,5)=41 Failed, w=63\",\"Add (3,4)=52 Failed, w=63\",\"Add (4,5)=54 Failed, w=63\",\"Add (2,4)=55 Failed, w=63\",\"Add (1,2)=63 Failed, w=63\",\"Add (2,3)=66 Failed, w=63\",\"Add (1,5)=72 Failed, w=63\",\"Add (3,6)=92 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,3,13],[0,5,41],[0,6,9],[1,2,63],[1,3,29],[1,4,38],[1,5,72],[1,6,2],[2,3,66],[2,4,55],[2,5,10],[2,6,5],[3,4,52],[3,5,4],[3,6,92],[4,5,54],[4,6,33],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(3,5)=4,(2,6)=5,(0,6)=9,(2,5)=10,(0,3)=13,(5,6)=21,(0,1)=26,(1,3)=29,(4,6)=33,(1,4)=38,(0,5)=41,(3,4)=52,(4,5)=54,(2,4)=55,(1,2)=63,(2,3)=66,(1,5)=72,(3,6)=92]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=6\",\"Find(2)=2, Find(6)=1, Add (2,6)=5 Succeeded, w=11\",\"Find(0)=0, Find(6)=1, Add (0,6)=9 Succeeded, w=20\",\"Find(2)=1, Find(5)=3, Add (2,5)=10 Succeeded, w=30\",\"Find(0)=1, Find(3)=1, Add (0,3)=13 Failed, w=30\",\"Find(5)=1, Find(6)=1, Add (5,6)=21 Failed, w=30\",\"Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=30\",\"Find(1)=1, Find(3)=1, Add (1,3)=29 Failed, w=30\",\"Find(4)=4, Find(6)=1, Add (4,6)=33 Succeeded, w=63\",\"Find(1)=1, Find(4)=1, Add (1,4)=38 Failed, w=63\",\"Find(0)=1, Find(5)=1, Add (0,5)=41 Failed, w=63\",\"Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=63\",\"Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=63\",\"Find(2)=1, Find(4)=1, Add (2,4)=55 Failed, w=63\",\"Find(1)=1, Find(2)=1, Add (1,2)=63 Failed, w=63\",\"Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=63\",\"Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=63\",\"Find(3)=1, Find(6)=1, Add (3,6)=92 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,26],[0,3,13],[0,5,41],[0,6,9],[1,2,63],[1,3,29],[1,4,38],[1,5,72],[1,6,2],[2,3,66],[2,4,55],[2,5,10],[2,6,5],[3,4,52],[3,5,4],[3,6,92],[4,5,54],[4,6,33],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=2,(3,5)=4,(2,6)=5,(0,6)=9,(2,5)=10,(0,3)=13,(5,6)=21,(0,1)=26,(1,3)=29,(4,6)=33,(1,4)=38,(0,5)=41,(3,4)=52,(4,5)=54,(2,4)=55,(1,2)=63,(2,3)=66,(1,5)=72,(3,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1}, Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=5 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=9 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 1}, Find(2)=1, Find(5)=3, Add (2,5)=10 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=13 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=21 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=26 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=29 Failed, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=33 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=38 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=41 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=52 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=55 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=63 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=92 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,6],[0,3,98],[0,4,59],[0,5,96],[0,6,27],[0,7,8],[1,2,10],[1,3,31],[1,4,48],[1,6,17],[1,7,26],[2,3,44],[2,4,6],[2,5,78],[2,6,87],[2,7,28],[3,4,36],[3,5,80],[3,6,42],[3,7,80],[4,5,47],[4,6,69],[4,7,18],[5,6,38],[5,7,28],[6,7,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,6],[0,3,98],[0,4,59],[0,5,96],[0,6,27],[0,7,8],[1,2,10],[1,3,31],[1,4,48],[1,6,17],[1,7,26],[2,3,44],[2,4,6],[2,5,78],[2,6,87],[2,7,28],[3,4,36],[3,5,80],[3,6,42],[3,7,80],[4,5,47],[4,6,69],[4,7,18],[5,6,38],[5,7,28],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,6],[0,3,98],[0,4,59],[0,5,96],[0,6,27],[0,7,8],[1,2,10],[1,3,31],[1,4,48],[1,6,17],[1,7,26],[2,3,44],[2,4,6],[2,5,78],[2,6,87],[2,7,28],[3,4,36],[3,5,80],[3,6,42],[3,7,80],[4,5,47],[4,6,69],[4,7,18],[5,6,38],[5,7,28],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (0,7)\",\"Add (1,2)\",\"Add (1,6)\",\"Add (5,7)\",\"Add (1,3)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,6],[0,3,98],[0,4,59],[0,5,96],[0,6,27],[0,7,8],[1,2,10],[1,3,31],[1,4,48],[1,6,17],[1,7,26],[2,3,44],[2,4,6],[2,5,78],[2,6,87],[2,7,28],[3,4,36],[3,5,80],[3,6,42],[3,7,80],[4,5,47],[4,6,69],[4,7,18],[5,6,38],[5,7,28],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (2,4)=6, w=12\",\"Add (0,7)=8, w=20\",\"Add (1,2)=10, w=30\",\"Add (1,6)=17, w=47\",\"Add (5,7)=28, w=75\",\"Add (1,3)=31, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,6],[0,3,98],[0,4,59],[0,5,96],[0,6,27],[0,7,8],[1,2,10],[1,3,31],[1,4,48],[1,6,17],[1,7,26],[2,3,44],[2,4,6],[2,5,78],[2,6,87],[2,7,28],[3,4,36],[3,5,80],[3,6,42],[3,7,80],[4,5,47],[4,6,69],[4,7,18],[5,6,38],[5,7,28],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (2,4)=6 Succeeded, w=12\",\"Add (0,7)=8 Succeeded, w=20\",\"Add (1,2)=10 Succeeded, w=30\",\"Add (1,6)=17 Succeeded, w=47\",\"Add (4,7)=18 Failed, w=47\",\"Add (1,7)=26 Failed, w=47\",\"Add (0,6)=27 Failed, w=47\",\"Add (2,7)=28 Failed, w=47\",\"Add (5,7)=28 Succeeded, w=75\",\"Add (1,3)=31 Succeeded, w=106\",\"Add (3,4)=36 Failed, w=106\",\"Add (5,6)=38 Failed, w=106\",\"Add (3,6)=42 Failed, w=106\",\"Add (2,3)=44 Failed, w=106\",\"Add (4,5)=47 Failed, w=106\",\"Add (1,4)=48 Failed, w=106\",\"Add (6,7)=49 Failed, w=106\",\"Add (0,4)=59 Failed, w=106\",\"Add (0,1)=60 Failed, w=106\",\"Add (4,6)=69 Failed, w=106\",\"Add (2,5)=78 Failed, w=106\",\"Add (3,5)=80 Failed, w=106\",\"Add (3,7)=80 Failed, w=106\",\"Add (2,6)=87 Failed, w=106\",\"Add (0,5)=96 Failed, w=106\",\"Add (0,3)=98 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,6],[0,3,98],[0,4,59],[0,5,96],[0,6,27],[0,7,8],[1,2,10],[1,3,31],[1,4,48],[1,6,17],[1,7,26],[2,3,44],[2,4,6],[2,5,78],[2,6,87],[2,7,28],[3,4,36],[3,5,80],[3,6,42],[3,7,80],[4,5,47],[4,6,69],[4,7,18],[5,6,38],[5,7,28],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(2,4)=6,(0,7)=8,(1,2)=10,(1,6)=17,(4,7)=18,(1,7)=26,(0,6)=27,(2,7)=28,(5,7)=28,(1,3)=31,(3,4)=36,(5,6)=38,(3,6)=42,(2,3)=44,(4,5)=47,(1,4)=48,(6,7)=49,(0,4)=59,(0,1)=60,(4,6)=69,(2,5)=78,(3,5)=80,(3,7)=80,(2,6)=87,(0,5)=96,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(2)=0, Find(4)=4, Add (2,4)=6 Succeeded, w=12\",\"Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=20\",\"Find(1)=1, Find(2)=0, Add (1,2)=10 Succeeded, w=30\",\"Find(1)=0, Find(6)=6, Add (1,6)=17 Succeeded, w=47\",\"Find(4)=0, Find(7)=0, Add (4,7)=18 Failed, w=47\",\"Find(1)=0, Find(7)=0, Add (1,7)=26 Failed, w=47\",\"Find(0)=0, Find(6)=0, Add (0,6)=27 Failed, w=47\",\"Find(2)=0, Find(7)=0, Add (2,7)=28 Failed, w=47\",\"Find(5)=5, Find(7)=0, Add (5,7)=28 Succeeded, w=75\",\"Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=106\",\"Find(3)=0, Find(4)=0, Add (3,4)=36 Failed, w=106\",\"Find(5)=0, Find(6)=0, Add (5,6)=38 Failed, w=106\",\"Find(3)=0, Find(6)=0, Add (3,6)=42 Failed, w=106\",\"Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=106\",\"Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=106\",\"Find(1)=0, Find(4)=0, Add (1,4)=48 Failed, w=106\",\"Find(6)=0, Find(7)=0, Add (6,7)=49 Failed, w=106\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=106\",\"Find(0)=0, Find(1)=0, Add (0,1)=60 Failed, w=106\",\"Find(4)=0, Find(6)=0, Add (4,6)=69 Failed, w=106\",\"Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=106\",\"Find(3)=0, Find(5)=0, Add (3,5)=80 Failed, w=106\",\"Find(3)=0, Find(7)=0, Add (3,7)=80 Failed, w=106\",\"Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=106\",\"Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=106\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,6],[0,3,98],[0,4,59],[0,5,96],[0,6,27],[0,7,8],[1,2,10],[1,3,31],[1,4,48],[1,6,17],[1,7,26],[2,3,44],[2,4,6],[2,5,78],[2,6,87],[2,7,28],[3,4,36],[3,5,80],[3,6,42],[3,7,80],[4,5,47],[4,6,69],[4,7,18],[5,6,38],[5,7,28],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(2,4)=6,(0,7)=8,(1,2)=10,(1,6)=17,(4,7)=18,(1,7)=26,(0,6)=27,(2,7)=28,(5,7)=28,(1,3)=31,(3,4)=36,(5,6)=38,(3,6)=42,(2,3)=44,(4,5)=47,(1,4)=48,(6,7)=49,(0,4)=59,(0,1)=60,(4,6)=69,(2,5)=78,(3,5)=80,(3,7)=80,(2,6)=87,(0,5)=96,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=0, Find(4)=4, Add (2,4)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=8 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=10 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(6)=6, Add (1,6)=17 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=18 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=26 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=27 Failed, w=47\",\"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)=28 Failed, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=28 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=106\",\"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)=36 Failed, w=106\",\"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)=38 Failed, w=106\",\"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)=42 Failed, w=106\",\"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)=44 Failed, w=106\",\"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)=47 Failed, w=106\",\"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)=48 Failed, w=106\",\"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)=49 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=106\",\"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)=60 Failed, w=106\",\"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)=69 Failed, w=106\",\"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)=78 Failed, w=106\",\"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)=80 Failed, w=106\",\"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)=80 Failed, w=106\",\"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)=87 Failed, w=106\",\"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)=96 Failed, w=106\",\"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)=98 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,64],[0,2,96],[0,3,49],[0,4,2],[0,5,6],[0,6,54],[0,7,94],[1,2,16],[1,3,70],[1,4,44],[1,5,22],[1,6,87],[1,7,43],[2,3,66],[2,4,92],[2,5,55],[2,6,100],[2,7,53],[3,4,25],[3,5,28],[3,6,38],[4,5,63],[4,6,86],[4,7,34],[5,7,76],[6,7,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,96],[0,3,49],[0,4,2],[0,5,6],[0,6,54],[0,7,94],[1,2,16],[1,3,70],[1,4,44],[1,5,22],[1,6,87],[1,7,43],[2,3,66],[2,4,92],[2,5,55],[2,6,100],[2,7,53],[3,4,25],[3,5,28],[3,6,38],[4,5,63],[4,6,86],[4,7,34],[5,7,76],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,96],[0,3,49],[0,4,2],[0,5,6],[0,6,54],[0,7,94],[1,2,16],[1,3,70],[1,4,44],[1,5,22],[1,6,87],[1,7,43],[2,3,66],[2,4,92],[2,5,55],[2,6,100],[2,7,53],[3,4,25],[3,5,28],[3,6,38],[4,5,63],[4,6,86],[4,7,34],[5,7,76],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (4,7)\",\"Add (3,6)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,96],[0,3,49],[0,4,2],[0,5,6],[0,6,54],[0,7,94],[1,2,16],[1,3,70],[1,4,44],[1,5,22],[1,6,87],[1,7,43],[2,3,66],[2,4,92],[2,5,55],[2,6,100],[2,7,53],[3,4,25],[3,5,28],[3,6,38],[4,5,63],[4,6,86],[4,7,34],[5,7,76],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (0,5)=6, w=8\",\"Add (1,2)=16, w=24\",\"Add (1,5)=22, w=46\",\"Add (3,4)=25, w=71\",\"Add (4,7)=34, w=105\",\"Add (3,6)=38, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,96],[0,3,49],[0,4,2],[0,5,6],[0,6,54],[0,7,94],[1,2,16],[1,3,70],[1,4,44],[1,5,22],[1,6,87],[1,7,43],[2,3,66],[2,4,92],[2,5,55],[2,6,100],[2,7,53],[3,4,25],[3,5,28],[3,6,38],[4,5,63],[4,6,86],[4,7,34],[5,7,76],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (0,5)=6 Succeeded, w=8\",\"Add (1,2)=16 Succeeded, w=24\",\"Add (1,5)=22 Succeeded, w=46\",\"Add (3,4)=25 Succeeded, w=71\",\"Add (3,5)=28 Failed, w=71\",\"Add (4,7)=34 Succeeded, w=105\",\"Add (3,6)=38 Succeeded, w=143\",\"Add (1,7)=43 Failed, w=143\",\"Add (1,4)=44 Failed, w=143\",\"Add (0,3)=49 Failed, w=143\",\"Add (2,7)=53 Failed, w=143\",\"Add (0,6)=54 Failed, w=143\",\"Add (2,5)=55 Failed, w=143\",\"Add (6,7)=60 Failed, w=143\",\"Add (4,5)=63 Failed, w=143\",\"Add (0,1)=64 Failed, w=143\",\"Add (2,3)=66 Failed, w=143\",\"Add (1,3)=70 Failed, w=143\",\"Add (5,7)=76 Failed, w=143\",\"Add (4,6)=86 Failed, w=143\",\"Add (1,6)=87 Failed, w=143\",\"Add (2,4)=92 Failed, w=143\",\"Add (0,7)=94 Failed, w=143\",\"Add (0,2)=96 Failed, w=143\",\"Add (2,6)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,96],[0,3,49],[0,4,2],[0,5,6],[0,6,54],[0,7,94],[1,2,16],[1,3,70],[1,4,44],[1,5,22],[1,6,87],[1,7,43],[2,3,66],[2,4,92],[2,5,55],[2,6,100],[2,7,53],[3,4,25],[3,5,28],[3,6,38],[4,5,63],[4,6,86],[4,7,34],[5,7,76],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(0,5)=6,(1,2)=16,(1,5)=22,(3,4)=25,(3,5)=28,(4,7)=34,(3,6)=38,(1,7)=43,(1,4)=44,(0,3)=49,(2,7)=53,(0,6)=54,(2,5)=55,(6,7)=60,(4,5)=63,(0,1)=64,(2,3)=66,(1,3)=70,(5,7)=76,(4,6)=86,(1,6)=87,(2,4)=92,(0,7)=94,(0,2)=96,(2,6)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=24\",\"Find(1)=1, Find(5)=0, Add (1,5)=22 Succeeded, w=46\",\"Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=71\",\"Find(3)=1, Find(5)=1, Add (3,5)=28 Failed, w=71\",\"Find(4)=1, Find(7)=7, Add (4,7)=34 Succeeded, w=105\",\"Find(3)=1, Find(6)=6, Add (3,6)=38 Succeeded, w=143\",\"Find(1)=1, Find(7)=1, Add (1,7)=43 Failed, w=143\",\"Find(1)=1, Find(4)=1, Add (1,4)=44 Failed, w=143\",\"Find(0)=1, Find(3)=1, Add (0,3)=49 Failed, w=143\",\"Find(2)=1, Find(7)=1, Add (2,7)=53 Failed, w=143\",\"Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=143\",\"Find(2)=1, Find(5)=1, Add (2,5)=55 Failed, w=143\",\"Find(6)=1, Find(7)=1, Add (6,7)=60 Failed, w=143\",\"Find(4)=1, Find(5)=1, Add (4,5)=63 Failed, w=143\",\"Find(0)=1, Find(1)=1, Add (0,1)=64 Failed, w=143\",\"Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=143\",\"Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=143\",\"Find(5)=1, Find(7)=1, Add (5,7)=76 Failed, w=143\",\"Find(4)=1, Find(6)=1, Add (4,6)=86 Failed, w=143\",\"Find(1)=1, Find(6)=1, Add (1,6)=87 Failed, w=143\",\"Find(2)=1, Find(4)=1, Add (2,4)=92 Failed, w=143\",\"Find(0)=1, Find(7)=1, Add (0,7)=94 Failed, w=143\",\"Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=143\",\"Find(2)=1, Find(6)=1, Add (2,6)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,64],[0,2,96],[0,3,49],[0,4,2],[0,5,6],[0,6,54],[0,7,94],[1,2,16],[1,3,70],[1,4,44],[1,5,22],[1,6,87],[1,7,43],[2,3,66],[2,4,92],[2,5,55],[2,6,100],[2,7,53],[3,4,25],[3,5,28],[3,6,38],[4,5,63],[4,6,86],[4,7,34],[5,7,76],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(0,5)=6,(1,2)=16,(1,5)=22,(3,4)=25,(3,5)=28,(4,7)=34,(3,6)=38,(1,7)=43,(1,4)=44,(0,3)=49,(2,7)=53,(0,6)=54,(2,5)=55,(6,7)=60,(4,5)=63,(0,1)=64,(2,3)=66,(1,3)=70,(5,7)=76,(4,6)=86,(1,6)=87,(2,4)=92,(0,7)=94,(0,2)=96,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(5)=0, Add (1,5)=22 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 6, 7: 7}, Find(3)=3, Find(4)=1, Add (3,4)=25 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 7}, Find(3)=1, Find(5)=1, Add (3,5)=28 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=34 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=6, Add (3,6)=38 Succeeded, w=143\",\"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)=43 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=44 Failed, w=143\",\"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)=49 Failed, w=143\",\"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)=53 Failed, w=143\",\"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)=54 Failed, w=143\",\"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)=55 Failed, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=60 Failed, w=143\",\"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)=63 Failed, w=143\",\"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)=64 Failed, w=143\",\"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)=66 Failed, w=143\",\"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)=70 Failed, w=143\",\"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)=76 Failed, w=143\",\"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)=86 Failed, w=143\",\"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)=87 Failed, w=143\",\"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)=92 Failed, w=143\",\"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)=94 Failed, w=143\",\"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)=96 Failed, w=143\",\"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)=100 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,83],[1,3,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,83],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,83],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,83],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=67, w=67\",\"Add (0,3)=83, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,83],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=67 Succeeded, w=67\",\"Add (0,3)=83 Succeeded, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,83],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=67,(0,3)=83]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=67 Succeeded, w=67\",\"Find(0)=0, Find(3)=1, Add (0,3)=83 Succeeded, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,83],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=67,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=67 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=83 Succeeded, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,40],[0,2,70],[0,3,30],[1,2,72],[1,3,31],[2,3,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,70],[0,3,30],[1,2,72],[1,3,31],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,70],[0,3,30],[1,2,72],[1,3,31],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,70],[0,3,30],[1,2,72],[1,3,31],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=30, w=30\",\"Add (1,3)=31, w=61\",\"Add (0,2)=70, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,70],[0,3,30],[1,2,72],[1,3,31],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=30 Succeeded, w=30\",\"Add (1,3)=31 Succeeded, w=61\",\"Add (0,1)=40 Failed, w=61\",\"Add (0,2)=70 Succeeded, w=131\",\"Add (2,3)=70 Failed, w=131\",\"Add (1,2)=72 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,70],[0,3,30],[1,2,72],[1,3,31],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=30,(1,3)=31,(0,1)=40,(0,2)=70,(2,3)=70,(1,2)=72]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=30\",\"Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=61\",\"Find(0)=0, Find(1)=0, Add (0,1)=40 Failed, w=61\",\"Find(0)=0, Find(2)=2, Add (0,2)=70 Succeeded, w=131\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=131\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[0,2,70],[0,3,30],[1,2,72],[1,3,31],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=30,(1,3)=31,(0,1)=40,(0,2)=70,(2,3)=70,(1,2)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=31 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=40 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=70 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,38],[0,3,16],[0,5,73],[1,4,51],[1,5,84],[2,3,58],[2,5,70],[4,5,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,3,16],[0,5,73],[1,4,51],[1,5,84],[2,3,58],[2,5,70],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,3,16],[0,5,73],[1,4,51],[1,5,84],[2,3,58],[2,5,70],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (4,5)\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,3,16],[0,5,73],[1,4,51],[1,5,84],[2,3,58],[2,5,70],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16, w=16\",\"Add (0,1)=38, w=54\",\"Add (1,4)=51, w=105\",\"Add (2,3)=58, w=163\",\"Add (4,5)=58, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,3,16],[0,5,73],[1,4,51],[1,5,84],[2,3,58],[2,5,70],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16 Succeeded, w=16\",\"Add (0,1)=38 Succeeded, w=54\",\"Add (1,4)=51 Succeeded, w=105\",\"Add (2,3)=58 Succeeded, w=163\",\"Add (4,5)=58 Succeeded, w=221\",\"Add (2,5)=70 Failed, w=221\",\"Add (0,5)=73 Failed, w=221\",\"Add (1,5)=84 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,3,16],[0,5,73],[1,4,51],[1,5,84],[2,3,58],[2,5,70],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(0,1)=38,(1,4)=51,(2,3)=58,(4,5)=58,(2,5)=70,(0,5)=73,(1,5)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=54\",\"Find(1)=0, Find(4)=4, Add (1,4)=51 Succeeded, w=105\",\"Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=163\",\"Find(4)=0, Find(5)=5, Add (4,5)=58 Succeeded, w=221\",\"Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=221\",\"Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=221\",\"Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,38],[0,3,16],[0,5,73],[1,4,51],[1,5,84],[2,3,58],[2,5,70],[4,5,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(0,1)=38,(1,4)=51,(2,3)=58,(4,5)=58,(2,5)=70,(0,5)=73,(1,5)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=51 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=2, Find(3)=0, Add (2,3)=58 Succeeded, w=163\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=58 Succeeded, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,57],[0,3,40],[1,2,67],[1,3,33],[2,4,25],[2,5,83],[3,4,8],[3,5,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,40],[1,2,67],[1,3,33],[2,4,25],[2,5,83],[3,4,8],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,40],[1,2,67],[1,3,33],[2,4,25],[2,5,83],[3,4,8],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,40],[1,2,67],[1,3,33],[2,4,25],[2,5,83],[3,4,8],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (2,4)=25, w=33\",\"Add (1,3)=33, w=66\",\"Add (0,3)=40, w=106\",\"Add (3,5)=66, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,40],[1,2,67],[1,3,33],[2,4,25],[2,5,83],[3,4,8],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (2,4)=25 Succeeded, w=33\",\"Add (1,3)=33 Succeeded, w=66\",\"Add (0,3)=40 Succeeded, w=106\",\"Add (0,1)=57 Failed, w=106\",\"Add (3,5)=66 Succeeded, w=172\",\"Add (1,2)=67 Failed, w=172\",\"Add (2,5)=83 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,40],[1,2,67],[1,3,33],[2,4,25],[2,5,83],[3,4,8],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(2,4)=25,(1,3)=33,(0,3)=40,(0,1)=57,(3,5)=66,(1,2)=67,(2,5)=83]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(4)=3, Add (2,4)=25 Succeeded, w=33\",\"Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=66\",\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=106\",\"Find(0)=3, Find(1)=3, Add (0,1)=57 Failed, w=106\",\"Find(3)=3, Find(5)=5, Add (3,5)=66 Succeeded, w=172\",\"Find(1)=3, Find(2)=3, Add (1,2)=67 Failed, w=172\",\"Find(2)=3, Find(5)=3, Add (2,5)=83 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,3,40],[1,2,67],[1,3,33],[2,4,25],[2,5,83],[3,4,8],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(2,4)=25,(1,3)=33,(0,3)=40,(0,1)=57,(3,5)=66,(1,2)=67,(2,5)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=25 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=66\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=106\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=3, Find(1)=3, Add (0,1)=57 Failed, w=106\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=66 Succeeded, w=172\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=67 Failed, w=172\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=83 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,79],[0,3,2],[1,2,62],[1,3,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,2],[1,2,62],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,2],[1,2,62],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,2],[1,2,62],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (1,3)=13, w=15\",\"Add (1,2)=62, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,2],[1,2,62],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (1,3)=13 Succeeded, w=15\",\"Add (1,2)=62 Succeeded, w=77\",\"Add (0,2)=79 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,2],[1,2,62],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=13,(1,2)=62,(0,2)=79]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=15\",\"Find(1)=0, Find(2)=2, Add (1,2)=62 Succeeded, w=77\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,79],[0,3,2],[1,2,62],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(1,3)=13,(1,2)=62,(0,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=62 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,100],[0,2,44],[0,3,11],[0,4,53],[1,2,43],[1,3,22],[1,4,28],[2,4,35],[3,4,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,44],[0,3,11],[0,4,53],[1,2,43],[1,3,22],[1,4,28],[2,4,35],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,44],[0,3,11],[0,4,53],[1,2,43],[1,3,22],[1,4,28],[2,4,35],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,44],[0,3,11],[0,4,53],[1,2,43],[1,3,22],[1,4,28],[2,4,35],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (1,3)=22, w=33\",\"Add (1,4)=28, w=61\",\"Add (2,4)=35, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,44],[0,3,11],[0,4,53],[1,2,43],[1,3,22],[1,4,28],[2,4,35],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (1,3)=22 Succeeded, w=33\",\"Add (1,4)=28 Succeeded, w=61\",\"Add (3,4)=33 Failed, w=61\",\"Add (2,4)=35 Succeeded, w=96\",\"Add (1,2)=43 Failed, w=96\",\"Add (0,2)=44 Failed, w=96\",\"Add (0,4)=53 Failed, w=96\",\"Add (0,1)=100 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,44],[0,3,11],[0,4,53],[1,2,43],[1,3,22],[1,4,28],[2,4,35],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,3)=22,(1,4)=28,(3,4)=33,(2,4)=35,(1,2)=43,(0,2)=44,(0,4)=53,(0,1)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=0, Add (1,3)=22 Succeeded, w=33\",\"Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=61\",\"Find(3)=0, Find(4)=0, Add (3,4)=33 Failed, w=61\",\"Find(2)=2, Find(4)=0, Add (2,4)=35 Succeeded, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=96\",\"Find(0)=0, Find(2)=0, Add (0,2)=44 Failed, w=96\",\"Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,2,44],[0,3,11],[0,4,53],[1,2,43],[1,3,22],[1,4,28],[2,4,35],[3,4,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,3)=22,(1,4)=28,(3,4)=33,(2,4)=35,(1,2)=43,(0,2)=44,(0,4)=53,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=22 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=33 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=35 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=44 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=53 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,85],[0,3,36],[0,4,62],[0,5,32],[0,6,71],[1,4,67],[1,5,82],[1,6,23],[2,4,46],[3,4,96],[3,6,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,36],[0,4,62],[0,5,32],[0,6,71],[1,4,67],[1,5,82],[1,6,23],[2,4,46],[3,4,96],[3,6,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,36],[0,4,62],[0,5,32],[0,6,71],[1,4,67],[1,5,82],[1,6,23],[2,4,46],[3,4,96],[3,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,36],[0,4,62],[0,5,32],[0,6,71],[1,4,67],[1,5,82],[1,6,23],[2,4,46],[3,4,96],[3,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=23, w=23\",\"Add (0,5)=32, w=55\",\"Add (0,3)=36, w=91\",\"Add (2,4)=46, w=137\",\"Add (0,4)=62, w=199\",\"Add (1,4)=67, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,36],[0,4,62],[0,5,32],[0,6,71],[1,4,67],[1,5,82],[1,6,23],[2,4,46],[3,4,96],[3,6,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=23 Succeeded, w=23\",\"Add (0,5)=32 Succeeded, w=55\",\"Add (0,3)=36 Succeeded, w=91\",\"Add (2,4)=46 Succeeded, w=137\",\"Add (0,4)=62 Succeeded, w=199\",\"Add (1,4)=67 Succeeded, w=266\",\"Add (0,6)=71 Failed, w=266\",\"Add (3,6)=73 Failed, w=266\",\"Add (1,5)=82 Failed, w=266\",\"Add (0,2)=85 Failed, w=266\",\"Add (3,4)=96 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,36],[0,4,62],[0,5,32],[0,6,71],[1,4,67],[1,5,82],[1,6,23],[2,4,46],[3,4,96],[3,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=23,(0,5)=32,(0,3)=36,(2,4)=46,(0,4)=62,(1,4)=67,(0,6)=71,(3,6)=73,(1,5)=82,(0,2)=85,(3,4)=96]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=23\",\"Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=55\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=91\",\"Find(2)=2, Find(4)=4, Add (2,4)=46 Succeeded, w=137\",\"Find(0)=0, Find(4)=2, Add (0,4)=62 Succeeded, w=199\",\"Find(1)=1, Find(4)=0, Add (1,4)=67 Succeeded, w=266\",\"Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=266\",\"Find(3)=0, Find(6)=0, Add (3,6)=73 Failed, w=266\",\"Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=266\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=266\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,85],[0,3,36],[0,4,62],[0,5,32],[0,6,71],[1,4,67],[1,5,82],[1,6,23],[2,4,46],[3,4,96],[3,6,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=23,(0,5)=32,(0,3)=36,(2,4)=46,(0,4)=62,(1,4)=67,(0,6)=71,(3,6)=73,(1,5)=82,(0,2)=85,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=32 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=91\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 1}, Find(2)=2, Find(4)=4, Add (2,4)=46 Succeeded, w=137\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 0, 6: 1}, Find(0)=0, Find(4)=2, Add (0,4)=62 Succeeded, w=199\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=1, Find(4)=0, Add (1,4)=67 Succeeded, w=266\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=266\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=73 Failed, w=266\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=266\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=266\",\"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=266\"],\"Answer\":266}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,13],[0,2,31],[0,3,62],[0,4,20],[0,6,35],[1,3,33],[1,4,57],[1,6,79],[2,3,85],[2,4,0],[2,5,17],[2,6,84],[3,4,18],[4,5,56],[4,6,10],[5,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,31],[0,3,62],[0,4,20],[0,6,35],[1,3,33],[1,4,57],[1,6,79],[2,3,85],[2,4,0],[2,5,17],[2,6,84],[3,4,18],[4,5,56],[4,6,10],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,31],[0,3,62],[0,4,20],[0,6,35],[1,3,33],[1,4,57],[1,6,79],[2,3,85],[2,4,0],[2,5,17],[2,6,84],[3,4,18],[4,5,56],[4,6,10],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,31],[0,3,62],[0,4,20],[0,6,35],[1,3,33],[1,4,57],[1,6,79],[2,3,85],[2,4,0],[2,5,17],[2,6,84],[3,4,18],[4,5,56],[4,6,10],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (4,6)=10, w=10\",\"Add (5,6)=12, w=22\",\"Add (0,1)=13, w=35\",\"Add (3,4)=18, w=53\",\"Add (0,4)=20, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,31],[0,3,62],[0,4,20],[0,6,35],[1,3,33],[1,4,57],[1,6,79],[2,3,85],[2,4,0],[2,5,17],[2,6,84],[3,4,18],[4,5,56],[4,6,10],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (4,6)=10 Succeeded, w=10\",\"Add (5,6)=12 Succeeded, w=22\",\"Add (0,1)=13 Succeeded, w=35\",\"Add (2,5)=17 Failed, w=35\",\"Add (3,4)=18 Succeeded, w=53\",\"Add (0,4)=20 Succeeded, w=73\",\"Add (0,2)=31 Failed, w=73\",\"Add (1,3)=33 Failed, w=73\",\"Add (0,6)=35 Failed, w=73\",\"Add (4,5)=56 Failed, w=73\",\"Add (1,4)=57 Failed, w=73\",\"Add (0,3)=62 Failed, w=73\",\"Add (1,6)=79 Failed, w=73\",\"Add (2,6)=84 Failed, w=73\",\"Add (2,3)=85 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,31],[0,3,62],[0,4,20],[0,6,35],[1,3,33],[1,4,57],[1,6,79],[2,3,85],[2,4,0],[2,5,17],[2,6,84],[3,4,18],[4,5,56],[4,6,10],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(4,6)=10,(5,6)=12,(0,1)=13,(2,5)=17,(3,4)=18,(0,4)=20,(0,2)=31,(1,3)=33,(0,6)=35,(4,5)=56,(1,4)=57,(0,3)=62,(1,6)=79,(2,6)=84,(2,3)=85]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(4)=2, Find(6)=6, Add (4,6)=10 Succeeded, w=10\",\"Find(5)=5, Find(6)=2, Add (5,6)=12 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=35\",\"Find(2)=2, Find(5)=2, Add (2,5)=17 Failed, w=35\",\"Find(3)=3, Find(4)=2, Add (3,4)=18 Succeeded, w=53\",\"Find(0)=0, Find(4)=2, Add (0,4)=20 Succeeded, w=73\",\"Find(0)=0, Find(2)=0, Add (0,2)=31 Failed, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=33 Failed, w=73\",\"Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=73\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=73\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=73\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=73\",\"Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=73\",\"Find(2)=0, Find(6)=0, Add (2,6)=84 Failed, w=73\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,31],[0,3,62],[0,4,20],[0,6,35],[1,3,33],[1,4,57],[1,6,79],[2,3,85],[2,4,0],[2,5,17],[2,6,84],[3,4,18],[4,5,56],[4,6,10],[5,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(4,6)=10,(5,6)=12,(0,1)=13,(2,5)=17,(3,4)=18,(0,4)=20,(0,2)=31,(1,3)=33,(0,6)=35,(4,5)=56,(1,4)=57,(0,3)=62,(1,6)=79,(2,6)=84,(2,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2}, Find(4)=2, Find(6)=6, Add (4,6)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(5)=5, Find(6)=2, Add (5,6)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=17 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=3, Find(4)=2, Add (3,4)=18 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(4)=2, Add (0,4)=20 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(2)=0, Add (0,2)=31 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 2}, Find(1)=0, Find(3)=0, Add (1,3)=33 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=84 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,68],[0,2,23],[0,3,56],[1,4,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,23],[0,3,56],[1,4,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,23],[0,3,56],[1,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,23],[0,3,56],[1,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=23, w=23\",\"Add (0,3)=56, w=79\",\"Add (0,1)=68, w=147\",\"Add (1,4)=85, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,23],[0,3,56],[1,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=23 Succeeded, w=23\",\"Add (0,3)=56 Succeeded, w=79\",\"Add (0,1)=68 Succeeded, w=147\",\"Add (1,4)=85 Succeeded, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,23],[0,3,56],[1,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=23,(0,3)=56,(0,1)=68,(1,4)=85]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=79\",\"Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=147\",\"Find(1)=0, Find(4)=4, Add (1,4)=85 Succeeded, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,23],[0,3,56],[1,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=23,(0,3)=56,(0,1)=68,(1,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=85 Succeeded, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,51],[0,2,28],[0,3,29],[0,5,99],[0,7,17],[1,2,98],[1,6,24],[2,4,8],[2,5,66],[3,4,21],[3,5,43],[4,5,5],[4,6,30],[4,7,64],[5,7,35],[6,7,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,28],[0,3,29],[0,5,99],[0,7,17],[1,2,98],[1,6,24],[2,4,8],[2,5,66],[3,4,21],[3,5,43],[4,5,5],[4,6,30],[4,7,64],[5,7,35],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,28],[0,3,29],[0,5,99],[0,7,17],[1,2,98],[1,6,24],[2,4,8],[2,5,66],[3,4,21],[3,5,43],[4,5,5],[4,6,30],[4,7,64],[5,7,35],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,4)\",\"Add (0,7)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (4,6)\"],\"Answer\":133}",
"role": "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],[0,2,28],[0,3,29],[0,5,99],[0,7,17],[1,2,98],[1,6,24],[2,4,8],[2,5,66],[3,4,21],[3,5,43],[4,5,5],[4,6,30],[4,7,64],[5,7,35],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5, w=5\",\"Add (2,4)=8, w=13\",\"Add (0,7)=17, w=30\",\"Add (3,4)=21, w=51\",\"Add (1,6)=24, w=75\",\"Add (0,2)=28, w=103\",\"Add (4,6)=30, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,28],[0,3,29],[0,5,99],[0,7,17],[1,2,98],[1,6,24],[2,4,8],[2,5,66],[3,4,21],[3,5,43],[4,5,5],[4,6,30],[4,7,64],[5,7,35],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5 Succeeded, w=5\",\"Add (2,4)=8 Succeeded, w=13\",\"Add (0,7)=17 Succeeded, w=30\",\"Add (3,4)=21 Succeeded, w=51\",\"Add (1,6)=24 Succeeded, w=75\",\"Add (0,2)=28 Succeeded, w=103\",\"Add (0,3)=29 Failed, w=103\",\"Add (4,6)=30 Succeeded, w=133\",\"Add (5,7)=35 Failed, w=133\",\"Add (3,5)=43 Failed, w=133\",\"Add (0,1)=51 Failed, w=133\",\"Add (6,7)=57 Failed, w=133\",\"Add (4,7)=64 Failed, w=133\",\"Add (2,5)=66 Failed, w=133\",\"Add (1,2)=98 Failed, w=133\",\"Add (0,5)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,28],[0,3,29],[0,5,99],[0,7,17],[1,2,98],[1,6,24],[2,4,8],[2,5,66],[3,4,21],[3,5,43],[4,5,5],[4,6,30],[4,7,64],[5,7,35],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(2,4)=8,(0,7)=17,(3,4)=21,(1,6)=24,(0,2)=28,(0,3)=29,(4,6)=30,(5,7)=35,(3,5)=43,(0,1)=51,(6,7)=57,(4,7)=64,(2,5)=66,(1,2)=98,(0,5)=99]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=13\",\"Find(0)=0, Find(7)=7, Add (0,7)=17 Succeeded, w=30\",\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=51\",\"Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=75\",\"Find(0)=0, Find(2)=4, Add (0,2)=28 Succeeded, w=103\",\"Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=103\",\"Find(4)=0, Find(6)=1, Add (4,6)=30 Succeeded, w=133\",\"Find(5)=0, Find(7)=0, Add (5,7)=35 Failed, w=133\",\"Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=133\",\"Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=133\",\"Find(6)=0, Find(7)=0, Add (6,7)=57 Failed, w=133\",\"Find(4)=0, Find(7)=0, Add (4,7)=64 Failed, w=133\",\"Find(2)=0, Find(5)=0, Add (2,5)=66 Failed, w=133\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=133\",\"Find(0)=0, Find(5)=0, Add (0,5)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,28],[0,3,29],[0,5,99],[0,7,17],[1,2,98],[1,6,24],[2,4,8],[2,5,66],[3,4,21],[3,5,43],[4,5,5],[4,6,30],[4,7,64],[5,7,35],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(2,4)=8,(0,7)=17,(3,4)=21,(1,6)=24,(0,2)=28,(0,3)=29,(4,6)=30,(5,7)=35,(3,5)=43,(0,1)=51,(6,7)=57,(4,7)=64,(2,5)=66,(1,2)=98,(0,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 0}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 0}, Find(1)=1, Find(6)=6, Add (1,6)=24 Succeeded, w=75\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 0, 5: 4, 6: 1, 7: 0}, Find(0)=0, Find(2)=4, Add (0,2)=28 Succeeded, w=103\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 0, 5: 4, 6: 1, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 4, 6: 1, 7: 0}, Find(4)=0, Find(6)=1, Add (4,6)=30 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=35 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 1, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=57 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=64 Failed, w=133\",\"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)=66 Failed, w=133\",\"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)=98 Failed, w=133\",\"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)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,0],[0,3,36],[0,4,46],[0,5,29],[0,6,98],[0,7,49],[1,2,54],[1,3,52],[1,4,69],[1,5,70],[1,6,71],[1,7,16],[2,3,84],[2,4,24],[2,6,88],[3,4,78],[3,5,30],[3,6,2],[3,7,71],[4,5,25],[4,7,82],[5,6,84],[5,7,11],[6,7,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,36],[0,4,46],[0,5,29],[0,6,98],[0,7,49],[1,2,54],[1,3,52],[1,4,69],[1,5,70],[1,6,71],[1,7,16],[2,3,84],[2,4,24],[2,6,88],[3,4,78],[3,5,30],[3,6,2],[3,7,71],[4,5,25],[4,7,82],[5,6,84],[5,7,11],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,36],[0,4,46],[0,5,29],[0,6,98],[0,7,49],[1,2,54],[1,3,52],[1,4,69],[1,5,70],[1,6,71],[1,7,16],[2,3,84],[2,4,24],[2,6,88],[3,4,78],[3,5,30],[3,6,2],[3,7,71],[4,5,25],[4,7,82],[5,6,84],[5,7,11],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,6)\",\"Add (5,7)\",\"Add (1,7)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (3,5)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,36],[0,4,46],[0,5,29],[0,6,98],[0,7,49],[1,2,54],[1,3,52],[1,4,69],[1,5,70],[1,6,71],[1,7,16],[2,3,84],[2,4,24],[2,6,88],[3,4,78],[3,5,30],[3,6,2],[3,7,71],[4,5,25],[4,7,82],[5,6,84],[5,7,11],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (3,6)=2, w=2\",\"Add (5,7)=11, w=13\",\"Add (1,7)=16, w=29\",\"Add (2,4)=24, w=53\",\"Add (4,5)=25, w=78\",\"Add (3,5)=30, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,36],[0,4,46],[0,5,29],[0,6,98],[0,7,49],[1,2,54],[1,3,52],[1,4,69],[1,5,70],[1,6,71],[1,7,16],[2,3,84],[2,4,24],[2,6,88],[3,4,78],[3,5,30],[3,6,2],[3,7,71],[4,5,25],[4,7,82],[5,6,84],[5,7,11],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (3,6)=2 Succeeded, w=2\",\"Add (5,7)=11 Succeeded, w=13\",\"Add (1,7)=16 Succeeded, w=29\",\"Add (2,4)=24 Succeeded, w=53\",\"Add (4,5)=25 Succeeded, w=78\",\"Add (0,5)=29 Failed, w=78\",\"Add (3,5)=30 Succeeded, w=108\",\"Add (0,3)=36 Failed, w=108\",\"Add (6,7)=40 Failed, w=108\",\"Add (0,4)=46 Failed, w=108\",\"Add (0,7)=49 Failed, w=108\",\"Add (1,3)=52 Failed, w=108\",\"Add (1,2)=54 Failed, w=108\",\"Add (1,4)=69 Failed, w=108\",\"Add (1,5)=70 Failed, w=108\",\"Add (1,6)=71 Failed, w=108\",\"Add (3,7)=71 Failed, w=108\",\"Add (3,4)=78 Failed, w=108\",\"Add (4,7)=82 Failed, w=108\",\"Add (2,3)=84 Failed, w=108\",\"Add (5,6)=84 Failed, w=108\",\"Add (2,6)=88 Failed, w=108\",\"Add (0,6)=98 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,36],[0,4,46],[0,5,29],[0,6,98],[0,7,49],[1,2,54],[1,3,52],[1,4,69],[1,5,70],[1,6,71],[1,7,16],[2,3,84],[2,4,24],[2,6,88],[3,4,78],[3,5,30],[3,6,2],[3,7,71],[4,5,25],[4,7,82],[5,6,84],[5,7,11],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(3,6)=2,(5,7)=11,(1,7)=16,(2,4)=24,(4,5)=25,(0,5)=29,(3,5)=30,(0,3)=36,(6,7)=40,(0,4)=46,(0,7)=49,(1,3)=52,(1,2)=54,(1,4)=69,(1,5)=70,(1,6)=71,(3,7)=71,(3,4)=78,(4,7)=82,(2,3)=84,(5,6)=84,(2,6)=88,(0,6)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=2 Succeeded, w=2\",\"Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=13\",\"Find(1)=1, Find(7)=5, Add (1,7)=16 Succeeded, w=29\",\"Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=53\",\"Find(4)=0, Find(5)=5, Add (4,5)=25 Succeeded, w=78\",\"Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=78\",\"Find(3)=3, Find(5)=0, Add (3,5)=30 Succeeded, w=108\",\"Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=108\",\"Find(6)=0, Find(7)=0, Add (6,7)=40 Failed, w=108\",\"Find(0)=0, Find(4)=0, Add (0,4)=46 Failed, w=108\",\"Find(0)=0, Find(7)=0, Add (0,7)=49 Failed, w=108\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=108\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=108\",\"Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=108\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=108\",\"Find(1)=0, Find(6)=0, Add (1,6)=71 Failed, w=108\",\"Find(3)=0, Find(7)=0, Add (3,7)=71 Failed, w=108\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=108\",\"Find(4)=0, Find(7)=0, Add (4,7)=82 Failed, w=108\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=108\",\"Find(5)=0, Find(6)=0, Add (5,6)=84 Failed, w=108\",\"Find(2)=0, Find(6)=0, Add (2,6)=88 Failed, w=108\",\"Find(0)=0, Find(6)=0, Add (0,6)=98 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,0],[0,3,36],[0,4,46],[0,5,29],[0,6,98],[0,7,49],[1,2,54],[1,3,52],[1,4,69],[1,5,70],[1,6,71],[1,7,16],[2,3,84],[2,4,24],[2,6,88],[3,4,78],[3,5,30],[3,6,2],[3,7,71],[4,5,25],[4,7,82],[5,6,84],[5,7,11],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(3,6)=2,(5,7)=11,(1,7)=16,(2,4)=24,(4,5)=25,(0,5)=29,(3,5)=30,(0,3)=36,(6,7)=40,(0,4)=46,(0,7)=49,(1,3)=52,(1,2)=54,(1,4)=69,(1,5)=70,(1,6)=71,(3,7)=71,(3,4)=78,(4,7)=82,(2,3)=84,(5,6)=84,(2,6)=88,(0,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, 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, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=11 Succeeded, w=13\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=16 Succeeded, w=29\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 3, 4: 0, 5: 5, 6: 3, 7: 5}, Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=53\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3, 7: 5}, Find(4)=0, Find(5)=5, Add (4,5)=25 Succeeded, w=78\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 3, 4: 0, 5: 0, 6: 3, 7: 5}, Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=78\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 5}, Find(3)=3, Find(5)=0, Add (3,5)=30 Succeeded, w=108\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 5}, Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=108\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=40 Failed, w=108\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=46 Failed, w=108\",\"Parent: {0: 0, 1: 5, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=49 Failed, w=108\",\"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)=52 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=108\",\"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)=69 Failed, w=108\",\"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)=70 Failed, w=108\",\"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)=71 Failed, w=108\",\"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)=71 Failed, w=108\",\"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)=78 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=82 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=84 Failed, w=108\",\"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)=88 Failed, w=108\",\"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)=98 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
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