graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
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| messages_l5
listlengths 2
2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,99],[0,3,21],[0,4,61],[1,2,48],[1,3,23],[1,4,37],[2,3,65],[3,4,27]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,21],[0,4,61],[1,2,48],[1,3,23],[1,4,37],[2,3,65],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,21],[0,4,61],[1,2,48],[1,3,23],[1,4,37],[2,3,65],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,21],[0,4,61],[1,2,48],[1,3,23],[1,4,37],[2,3,65],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=21, w=21\",\"Add (1,3)=23, w=44\",\"Add (3,4)=27, w=71\",\"Add (1,2)=48, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,21],[0,4,61],[1,2,48],[1,3,23],[1,4,37],[2,3,65],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=21 Succeeded, w=21\",\"Add (1,3)=23 Succeeded, w=44\",\"Add (3,4)=27 Succeeded, w=71\",\"Add (1,4)=37 Failed, w=71\",\"Add (1,2)=48 Succeeded, w=119\",\"Add (0,4)=61 Failed, w=119\",\"Add (2,3)=65 Failed, w=119\",\"Add (0,2)=99 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,21],[0,4,61],[1,2,48],[1,3,23],[1,4,37],[2,3,65],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=21,(1,3)=23,(3,4)=27,(1,4)=37,(1,2)=48,(0,4)=61,(2,3)=65,(0,2)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=21\",\"Find(1)=1, Find(3)=0, Add (1,3)=23 Succeeded, w=44\",\"Find(3)=0, Find(4)=4, Add (3,4)=27 Succeeded, w=71\",\"Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=71\",\"Find(1)=0, Find(2)=2, Add (1,2)=48 Succeeded, w=119\",\"Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=119\",\"Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=119\",\"Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,99],[0,3,21],[0,4,61],[1,2,48],[1,3,23],[1,4,37],[2,3,65],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=21,(1,3)=23,(3,4)=27,(1,4)=37,(1,2)=48,(0,4)=61,(2,3)=65,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=23 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=27 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=48 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,50],[1,2,64],[1,3,18],[2,3,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,50],[1,2,64],[1,3,18],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,50],[1,2,64],[1,3,18],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,50],[1,2,64],[1,3,18],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18, w=18\",\"Add (2,3)=48, w=66\",\"Add (0,2)=50, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,50],[1,2,64],[1,3,18],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18 Succeeded, w=18\",\"Add (2,3)=48 Succeeded, w=66\",\"Add (0,2)=50 Succeeded, w=116\",\"Add (1,2)=64 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,50],[1,2,64],[1,3,18],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(2,3)=48,(0,2)=50,(1,2)=64]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Find(2)=2, Find(3)=1, Add (2,3)=48 Succeeded, w=66\",\"Find(0)=0, Find(2)=1, Add (0,2)=50 Succeeded, w=116\",\"Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,50],[1,2,64],[1,3,18],[2,3,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(2,3)=48,(0,2)=50,(1,2)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=48 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=50 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,98],[0,2,9],[0,3,10],[0,4,22],[0,5,68],[1,2,92],[1,3,77],[1,4,55],[1,5,48],[2,3,49],[2,4,62],[2,5,34],[3,4,80],[3,5,21],[4,5,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,9],[0,3,10],[0,4,22],[0,5,68],[1,2,92],[1,3,77],[1,4,55],[1,5,48],[2,3,49],[2,4,62],[2,5,34],[3,4,80],[3,5,21],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,9],[0,3,10],[0,4,22],[0,5,68],[1,2,92],[1,3,77],[1,4,55],[1,5,48],[2,3,49],[2,4,62],[2,5,34],[3,4,80],[3,5,21],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,9],[0,3,10],[0,4,22],[0,5,68],[1,2,92],[1,3,77],[1,4,55],[1,5,48],[2,3,49],[2,4,62],[2,5,34],[3,4,80],[3,5,21],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (0,3)=10, w=19\",\"Add (3,5)=21, w=40\",\"Add (0,4)=22, w=62\",\"Add (1,5)=48, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,9],[0,3,10],[0,4,22],[0,5,68],[1,2,92],[1,3,77],[1,4,55],[1,5,48],[2,3,49],[2,4,62],[2,5,34],[3,4,80],[3,5,21],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,3)=10 Succeeded, w=19\",\"Add (3,5)=21 Succeeded, w=40\",\"Add (0,4)=22 Succeeded, w=62\",\"Add (2,5)=34 Failed, w=62\",\"Add (1,5)=48 Succeeded, w=110\",\"Add (2,3)=49 Failed, w=110\",\"Add (1,4)=55 Failed, w=110\",\"Add (2,4)=62 Failed, w=110\",\"Add (0,5)=68 Failed, w=110\",\"Add (1,3)=77 Failed, w=110\",\"Add (4,5)=78 Failed, w=110\",\"Add (3,4)=80 Failed, w=110\",\"Add (1,2)=92 Failed, w=110\",\"Add (0,1)=98 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,9],[0,3,10],[0,4,22],[0,5,68],[1,2,92],[1,3,77],[1,4,55],[1,5,48],[2,3,49],[2,4,62],[2,5,34],[3,4,80],[3,5,21],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,3)=10,(3,5)=21,(0,4)=22,(2,5)=34,(1,5)=48,(2,3)=49,(1,4)=55,(2,4)=62,(0,5)=68,(1,3)=77,(4,5)=78,(3,4)=80,(1,2)=92,(0,1)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=19\",\"Find(3)=0, Find(5)=5, Add (3,5)=21 Succeeded, w=40\",\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=62\",\"Find(2)=0, Find(5)=0, Add (2,5)=34 Failed, w=62\",\"Find(1)=1, Find(5)=0, Add (1,5)=48 Succeeded, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=110\",\"Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=110\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=110\",\"Find(0)=0, Find(5)=0, Add (0,5)=68 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=110\",\"Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,98],[0,2,9],[0,3,10],[0,4,22],[0,5,68],[1,2,92],[1,3,77],[1,4,55],[1,5,48],[2,3,49],[2,4,62],[2,5,34],[3,4,80],[3,5,21],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,3)=10,(3,5)=21,(0,4)=22,(2,5)=34,(1,5)=48,(2,3)=49,(1,4)=55,(2,4)=62,(0,5)=68,(1,3)=77,(4,5)=78,(3,4)=80,(1,2)=92,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=34 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=48 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=68 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=80 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=98 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,82],[0,5,23],[1,5,32],[1,6,16],[2,6,77],[3,4,3],[3,5,15],[3,6,49],[4,5,14],[4,6,36],[5,6,57]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,82],[0,5,23],[1,5,32],[1,6,16],[2,6,77],[3,4,3],[3,5,15],[3,6,49],[4,5,14],[4,6,36],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,82],[0,5,23],[1,5,32],[1,6,16],[2,6,77],[3,4,3],[3,5,15],[3,6,49],[4,5,14],[4,6,36],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (4,5)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (2,6)\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,82],[0,5,23],[1,5,32],[1,6,16],[2,6,77],[3,4,3],[3,5,15],[3,6,49],[4,5,14],[4,6,36],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (4,5)=14, w=17\",\"Add (1,6)=16, w=33\",\"Add (0,5)=23, w=56\",\"Add (1,5)=32, w=88\",\"Add (2,6)=77, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,82],[0,5,23],[1,5,32],[1,6,16],[2,6,77],[3,4,3],[3,5,15],[3,6,49],[4,5,14],[4,6,36],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (4,5)=14 Succeeded, w=17\",\"Add (3,5)=15 Failed, w=17\",\"Add (1,6)=16 Succeeded, w=33\",\"Add (0,5)=23 Succeeded, w=56\",\"Add (1,5)=32 Succeeded, w=88\",\"Add (4,6)=36 Failed, w=88\",\"Add (3,6)=49 Failed, w=88\",\"Add (5,6)=57 Failed, w=88\",\"Add (2,6)=77 Succeeded, w=165\",\"Add (0,3)=82 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,82],[0,5,23],[1,5,32],[1,6,16],[2,6,77],[3,4,3],[3,5,15],[3,6,49],[4,5,14],[4,6,36],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(4,5)=14,(3,5)=15,(1,6)=16,(0,5)=23,(1,5)=32,(4,6)=36,(3,6)=49,(5,6)=57,(2,6)=77,(0,3)=82]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(4)=3, Find(5)=5, Add (4,5)=14 Succeeded, w=17\",\"Find(3)=3, Find(5)=3, Add (3,5)=15 Failed, w=17\",\"Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=33\",\"Find(0)=0, Find(5)=3, Add (0,5)=23 Succeeded, w=56\",\"Find(1)=1, Find(5)=3, Add (1,5)=32 Succeeded, w=88\",\"Find(4)=1, Find(6)=1, Add (4,6)=36 Failed, w=88\",\"Find(3)=1, Find(6)=1, Add (3,6)=49 Failed, w=88\",\"Find(5)=1, Find(6)=1, Add (5,6)=57 Failed, w=88\",\"Find(2)=2, Find(6)=1, Add (2,6)=77 Succeeded, w=165\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,82],[0,5,23],[1,5,32],[1,6,16],[2,6,77],[3,4,3],[3,5,15],[3,6,49],[4,5,14],[4,6,36],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(4,5)=14,(3,5)=15,(1,6)=16,(0,5)=23,(1,5)=32,(4,6)=36,(3,6)=49,(5,6)=57,(2,6)=77,(0,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=5, Add (4,5)=14 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(3)=3, Find(5)=3, Add (3,5)=15 Failed, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=33\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 1}, Find(0)=0, Find(5)=3, Add (0,5)=23 Succeeded, w=56\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 3, 5: 3, 6: 1}, Find(1)=1, Find(5)=3, Add (1,5)=32 Succeeded, w=88\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=36 Failed, w=88\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=49 Failed, w=88\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=57 Failed, w=88\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=77 Succeeded, w=165\",\"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=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,58],[0,3,85],[0,4,96],[0,6,15],[1,3,81],[1,7,46],[2,3,57],[2,4,19],[2,5,53],[2,6,30],[3,4,5],[3,6,60],[3,7,79],[4,5,86],[4,7,47],[5,6,84],[5,7,64],[6,7,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,85],[0,4,96],[0,6,15],[1,3,81],[1,7,46],[2,3,57],[2,4,19],[2,5,53],[2,6,30],[3,4,5],[3,6,60],[3,7,79],[4,5,86],[4,7,47],[5,6,84],[5,7,64],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,85],[0,4,96],[0,6,15],[1,3,81],[1,7,46],[2,3,57],[2,4,19],[2,5,53],[2,6,30],[3,4,5],[3,6,60],[3,7,79],[4,5,86],[4,7,47],[5,6,84],[5,7,64],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (1,7)\",\"Add (2,5)\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,85],[0,4,96],[0,6,15],[1,3,81],[1,7,46],[2,3,57],[2,4,19],[2,5,53],[2,6,30],[3,4,5],[3,6,60],[3,7,79],[4,5,86],[4,7,47],[5,6,84],[5,7,64],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3, w=3\",\"Add (3,4)=5, w=8\",\"Add (0,6)=15, w=23\",\"Add (2,4)=19, w=42\",\"Add (2,6)=30, w=72\",\"Add (1,7)=46, w=118\",\"Add (2,5)=53, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,85],[0,4,96],[0,6,15],[1,3,81],[1,7,46],[2,3,57],[2,4,19],[2,5,53],[2,6,30],[3,4,5],[3,6,60],[3,7,79],[4,5,86],[4,7,47],[5,6,84],[5,7,64],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3 Succeeded, w=3\",\"Add (3,4)=5 Succeeded, w=8\",\"Add (0,6)=15 Succeeded, w=23\",\"Add (2,4)=19 Succeeded, w=42\",\"Add (2,6)=30 Succeeded, w=72\",\"Add (1,7)=46 Succeeded, w=118\",\"Add (4,7)=47 Failed, w=118\",\"Add (2,5)=53 Succeeded, w=171\",\"Add (2,3)=57 Failed, w=171\",\"Add (0,1)=58 Failed, w=171\",\"Add (3,6)=60 Failed, w=171\",\"Add (5,7)=64 Failed, w=171\",\"Add (3,7)=79 Failed, w=171\",\"Add (1,3)=81 Failed, w=171\",\"Add (5,6)=84 Failed, w=171\",\"Add (0,3)=85 Failed, w=171\",\"Add (4,5)=86 Failed, w=171\",\"Add (0,4)=96 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,85],[0,4,96],[0,6,15],[1,3,81],[1,7,46],[2,3,57],[2,4,19],[2,5,53],[2,6,30],[3,4,5],[3,6,60],[3,7,79],[4,5,86],[4,7,47],[5,6,84],[5,7,64],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(3,4)=5,(0,6)=15,(2,4)=19,(2,6)=30,(1,7)=46,(4,7)=47,(2,5)=53,(2,3)=57,(0,1)=58,(3,6)=60,(5,7)=64,(3,7)=79,(1,3)=81,(5,6)=84,(0,3)=85,(4,5)=86,(0,4)=96]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=8\",\"Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=23\",\"Find(2)=2, Find(4)=3, Add (2,4)=19 Succeeded, w=42\",\"Find(2)=3, Find(6)=6, Add (2,6)=30 Succeeded, w=72\",\"Find(1)=1, Find(7)=3, Add (1,7)=46 Succeeded, w=118\",\"Find(4)=3, Find(7)=3, Add (4,7)=47 Failed, w=118\",\"Find(2)=3, Find(5)=5, Add (2,5)=53 Succeeded, w=171\",\"Find(2)=3, Find(3)=3, Add (2,3)=57 Failed, w=171\",\"Find(0)=3, Find(1)=3, Add (0,1)=58 Failed, w=171\",\"Find(3)=3, Find(6)=3, Add (3,6)=60 Failed, w=171\",\"Find(5)=3, Find(7)=3, Add (5,7)=64 Failed, w=171\",\"Find(3)=3, Find(7)=3, Add (3,7)=79 Failed, w=171\",\"Find(1)=3, Find(3)=3, Add (1,3)=81 Failed, w=171\",\"Find(5)=3, Find(6)=3, Add (5,6)=84 Failed, w=171\",\"Find(0)=3, Find(3)=3, Add (0,3)=85 Failed, w=171\",\"Find(4)=3, Find(5)=3, Add (4,5)=86 Failed, w=171\",\"Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,58],[0,3,85],[0,4,96],[0,6,15],[1,3,81],[1,7,46],[2,3,57],[2,4,19],[2,5,53],[2,6,30],[3,4,5],[3,6,60],[3,7,79],[4,5,86],[4,7,47],[5,6,84],[5,7,64],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(3,4)=5,(0,6)=15,(2,4)=19,(2,6)=30,(1,7)=46,(4,7)=47,(2,5)=53,(2,3)=57,(0,1)=58,(3,6)=60,(5,7)=64,(3,7)=79,(1,3)=81,(5,6)=84,(0,3)=85,(4,5)=86,(0,4)=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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=8\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=23\",\"Parent: {0: 6, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(4)=3, Add (2,4)=19 Succeeded, w=42\",\"Parent: {0: 6, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 6}, Find(2)=3, Find(6)=6, Add (2,6)=30 Succeeded, w=72\",\"Parent: {0: 6, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(1)=1, Find(7)=3, Add (1,7)=46 Succeeded, w=118\",\"Parent: {0: 6, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=47 Failed, w=118\",\"Parent: {0: 6, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=5, Add (2,5)=53 Succeeded, w=171\",\"Parent: {0: 6, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=57 Failed, w=171\",\"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)=58 Failed, w=171\",\"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)=60 Failed, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=64 Failed, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=79 Failed, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=81 Failed, w=171\",\"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)=84 Failed, w=171\",\"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)=85 Failed, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=86 Failed, w=171\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=96 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,51],[0,2,53],[0,3,40],[0,4,28],[0,5,97],[1,2,73],[1,3,87],[1,4,30],[1,5,85],[2,4,69],[2,5,33],[3,4,86],[3,5,40],[4,5,67]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,53],[0,3,40],[0,4,28],[0,5,97],[1,2,73],[1,3,87],[1,4,30],[1,5,85],[2,4,69],[2,5,33],[3,4,86],[3,5,40],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,53],[0,3,40],[0,4,28],[0,5,97],[1,2,73],[1,3,87],[1,4,30],[1,5,85],[2,4,69],[2,5,33],[3,4,86],[3,5,40],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,53],[0,3,40],[0,4,28],[0,5,97],[1,2,73],[1,3,87],[1,4,30],[1,5,85],[2,4,69],[2,5,33],[3,4,86],[3,5,40],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=28, w=28\",\"Add (1,4)=30, w=58\",\"Add (2,5)=33, w=91\",\"Add (0,3)=40, w=131\",\"Add (3,5)=40, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,53],[0,3,40],[0,4,28],[0,5,97],[1,2,73],[1,3,87],[1,4,30],[1,5,85],[2,4,69],[2,5,33],[3,4,86],[3,5,40],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=28 Succeeded, w=28\",\"Add (1,4)=30 Succeeded, w=58\",\"Add (2,5)=33 Succeeded, w=91\",\"Add (0,3)=40 Succeeded, w=131\",\"Add (3,5)=40 Succeeded, w=171\",\"Add (0,1)=51 Failed, w=171\",\"Add (0,2)=53 Failed, w=171\",\"Add (4,5)=67 Failed, w=171\",\"Add (2,4)=69 Failed, w=171\",\"Add (1,2)=73 Failed, w=171\",\"Add (1,5)=85 Failed, w=171\",\"Add (3,4)=86 Failed, w=171\",\"Add (1,3)=87 Failed, w=171\",\"Add (0,5)=97 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,53],[0,3,40],[0,4,28],[0,5,97],[1,2,73],[1,3,87],[1,4,30],[1,5,85],[2,4,69],[2,5,33],[3,4,86],[3,5,40],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=28,(1,4)=30,(2,5)=33,(0,3)=40,(3,5)=40,(0,1)=51,(0,2)=53,(4,5)=67,(2,4)=69,(1,2)=73,(1,5)=85,(3,4)=86,(1,3)=87,(0,5)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=28\",\"Find(1)=1, Find(4)=0, Add (1,4)=30 Succeeded, w=58\",\"Find(2)=2, Find(5)=5, Add (2,5)=33 Succeeded, w=91\",\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=131\",\"Find(3)=0, Find(5)=2, Add (3,5)=40 Succeeded, w=171\",\"Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=171\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=171\",\"Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=171\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=171\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=171\",\"Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=171\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=171\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=171\",\"Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,53],[0,3,40],[0,4,28],[0,5,97],[1,2,73],[1,3,87],[1,4,30],[1,5,85],[2,4,69],[2,5,33],[3,4,86],[3,5,40],[4,5,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=28,(1,4)=30,(2,5)=33,(0,3)=40,(3,5)=40,(0,1)=51,(0,2)=53,(4,5)=67,(2,4)=69,(1,2)=73,(1,5)=85,(3,4)=86,(1,3)=87,(0,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=30 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=33 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=0, Find(5)=2, Add (3,5)=40 Succeeded, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,7,3],[1,2,24],[1,3,79],[1,5,99],[1,6,98],[1,7,58],[2,4,65],[2,5,71],[2,6,20],[2,7,30],[3,4,72],[3,5,27],[3,7,5],[4,6,56],[5,6,83],[5,7,70],[6,7,91]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,7,3],[1,2,24],[1,3,79],[1,5,99],[1,6,98],[1,7,58],[2,4,65],[2,5,71],[2,6,20],[2,7,30],[3,4,72],[3,5,27],[3,7,5],[4,6,56],[5,6,83],[5,7,70],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,7,3],[1,2,24],[1,3,79],[1,5,99],[1,6,98],[1,7,58],[2,4,65],[2,5,71],[2,6,20],[2,7,30],[3,4,72],[3,5,27],[3,7,5],[4,6,56],[5,6,83],[5,7,70],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (3,7)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (2,7)\",\"Add (4,6)\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,7,3],[1,2,24],[1,3,79],[1,5,99],[1,6,98],[1,7,58],[2,4,65],[2,5,71],[2,6,20],[2,7,30],[3,4,72],[3,5,27],[3,7,5],[4,6,56],[5,6,83],[5,7,70],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=3, w=3\",\"Add (3,7)=5, w=8\",\"Add (2,6)=20, w=28\",\"Add (1,2)=24, w=52\",\"Add (3,5)=27, w=79\",\"Add (2,7)=30, w=109\",\"Add (4,6)=56, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,7,3],[1,2,24],[1,3,79],[1,5,99],[1,6,98],[1,7,58],[2,4,65],[2,5,71],[2,6,20],[2,7,30],[3,4,72],[3,5,27],[3,7,5],[4,6,56],[5,6,83],[5,7,70],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=3 Succeeded, w=3\",\"Add (3,7)=5 Succeeded, w=8\",\"Add (2,6)=20 Succeeded, w=28\",\"Add (1,2)=24 Succeeded, w=52\",\"Add (3,5)=27 Succeeded, w=79\",\"Add (2,7)=30 Succeeded, w=109\",\"Add (4,6)=56 Succeeded, w=165\",\"Add (1,7)=58 Failed, w=165\",\"Add (2,4)=65 Failed, w=165\",\"Add (5,7)=70 Failed, w=165\",\"Add (2,5)=71 Failed, w=165\",\"Add (3,4)=72 Failed, w=165\",\"Add (1,3)=79 Failed, w=165\",\"Add (5,6)=83 Failed, w=165\",\"Add (6,7)=91 Failed, w=165\",\"Add (1,6)=98 Failed, w=165\",\"Add (1,5)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,7,3],[1,2,24],[1,3,79],[1,5,99],[1,6,98],[1,7,58],[2,4,65],[2,5,71],[2,6,20],[2,7,30],[3,4,72],[3,5,27],[3,7,5],[4,6,56],[5,6,83],[5,7,70],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=3,(3,7)=5,(2,6)=20,(1,2)=24,(3,5)=27,(2,7)=30,(4,6)=56,(1,7)=58,(2,4)=65,(5,7)=70,(2,5)=71,(3,4)=72,(1,3)=79,(5,6)=83,(6,7)=91,(1,6)=98,(1,5)=99]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=3\",\"Find(3)=3, Find(7)=0, Add (3,7)=5 Succeeded, w=8\",\"Find(2)=2, Find(6)=6, Add (2,6)=20 Succeeded, w=28\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=52\",\"Find(3)=0, Find(5)=5, Add (3,5)=27 Succeeded, w=79\",\"Find(2)=2, Find(7)=0, Add (2,7)=30 Succeeded, w=109\",\"Find(4)=4, Find(6)=2, Add (4,6)=56 Succeeded, w=165\",\"Find(1)=2, Find(7)=2, Add (1,7)=58 Failed, w=165\",\"Find(2)=2, Find(4)=2, Add (2,4)=65 Failed, w=165\",\"Find(5)=2, Find(7)=2, Add (5,7)=70 Failed, w=165\",\"Find(2)=2, Find(5)=2, Add (2,5)=71 Failed, w=165\",\"Find(3)=2, Find(4)=2, Add (3,4)=72 Failed, w=165\",\"Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=165\",\"Find(5)=2, Find(6)=2, Add (5,6)=83 Failed, w=165\",\"Find(6)=2, Find(7)=2, Add (6,7)=91 Failed, w=165\",\"Find(1)=2, Find(6)=2, Add (1,6)=98 Failed, w=165\",\"Find(1)=2, Find(5)=2, Add (1,5)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,7,3],[1,2,24],[1,3,79],[1,5,99],[1,6,98],[1,7,58],[2,4,65],[2,5,71],[2,6,20],[2,7,30],[3,4,72],[3,5,27],[3,7,5],[4,6,56],[5,6,83],[5,7,70],[6,7,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=3,(3,7)=5,(2,6)=20,(1,2)=24,(3,5)=27,(2,7)=30,(4,6)=56,(1,7)=58,(2,4)=65,(5,7)=70,(2,5)=71,(3,4)=72,(1,3)=79,(5,6)=83,(6,7)=91,(1,6)=98,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(3)=3, Find(7)=0, Add (3,7)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 0}, Find(2)=2, Find(6)=6, Add (2,6)=20 Succeeded, w=28\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 0}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=52\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 4, 5: 0, 6: 2, 7: 0}, Find(3)=0, Find(5)=5, Add (3,5)=27 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 4, 5: 0, 6: 2, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=30 Succeeded, w=109\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2, 7: 0}, Find(4)=4, Find(6)=2, Add (4,6)=56 Succeeded, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=58 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=65 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=70 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=71 Failed, w=165\",\"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)=72 Failed, w=165\",\"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)=79 Failed, w=165\",\"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)=83 Failed, w=165\",\"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)=91 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=98 Failed, w=165\",\"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)=99 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,34],[0,2,57],[0,4,14],[1,2,47],[1,3,30],[1,4,39],[2,3,52],[2,4,34],[3,4,46]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,57],[0,4,14],[1,2,47],[1,3,30],[1,4,39],[2,3,52],[2,4,34],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,57],[0,4,14],[1,2,47],[1,3,30],[1,4,39],[2,3,52],[2,4,34],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,57],[0,4,14],[1,2,47],[1,3,30],[1,4,39],[2,3,52],[2,4,34],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14, w=14\",\"Add (1,3)=30, w=44\",\"Add (0,1)=34, w=78\",\"Add (2,4)=34, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,57],[0,4,14],[1,2,47],[1,3,30],[1,4,39],[2,3,52],[2,4,34],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=14 Succeeded, w=14\",\"Add (1,3)=30 Succeeded, w=44\",\"Add (0,1)=34 Succeeded, w=78\",\"Add (2,4)=34 Succeeded, w=112\",\"Add (1,4)=39 Failed, w=112\",\"Add (3,4)=46 Failed, w=112\",\"Add (1,2)=47 Failed, w=112\",\"Add (2,3)=52 Failed, w=112\",\"Add (0,2)=57 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,57],[0,4,14],[1,2,47],[1,3,30],[1,4,39],[2,3,52],[2,4,34],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(1,3)=30,(0,1)=34,(2,4)=34,(1,4)=39,(3,4)=46,(1,2)=47,(2,3)=52,(0,2)=57]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=78\",\"Find(2)=2, Find(4)=0, Add (2,4)=34 Succeeded, w=112\",\"Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=112\",\"Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=112\",\"Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=112\",\"Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=112\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,57],[0,4,14],[1,2,47],[1,3,30],[1,4,39],[2,3,52],[2,4,34],[3,4,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=14,(1,3)=30,(0,1)=34,(2,4)=34,(1,4)=39,(3,4)=46,(1,2)=47,(2,3)=52,(0,2)=57]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=34 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=39 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=46 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=47 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=52 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,32],[0,2,25],[0,3,35],[1,2,98],[1,3,34],[2,3,55]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,25],[0,3,35],[1,2,98],[1,3,34],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,25],[0,3,35],[1,2,98],[1,3,34],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,25],[0,3,35],[1,2,98],[1,3,34],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=25, w=25\",\"Add (0,1)=32, w=57\",\"Add (1,3)=34, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,25],[0,3,35],[1,2,98],[1,3,34],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=25 Succeeded, w=25\",\"Add (0,1)=32 Succeeded, w=57\",\"Add (1,3)=34 Succeeded, w=91\",\"Add (0,3)=35 Failed, w=91\",\"Add (2,3)=55 Failed, w=91\",\"Add (1,2)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,25],[0,3,35],[1,2,98],[1,3,34],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=25,(0,1)=32,(1,3)=34,(0,3)=35,(2,3)=55,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=25\",\"Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=57\",\"Find(1)=0, Find(3)=3, Add (1,3)=34 Succeeded, w=91\",\"Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=91\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,32],[0,2,25],[0,3,35],[1,2,98],[1,3,34],[2,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=25,(0,1)=32,(1,3)=34,(0,3)=35,(2,3)=55,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=32 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=34 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,41],[0,4,56],[0,5,27],[0,6,65],[1,2,95],[1,5,33],[1,6,100],[2,3,85],[2,4,49],[2,5,69],[3,4,7],[3,5,68],[3,6,92],[4,5,31],[4,6,95],[5,6,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,56],[0,5,27],[0,6,65],[1,2,95],[1,5,33],[1,6,100],[2,3,85],[2,4,49],[2,5,69],[3,4,7],[3,5,68],[3,6,92],[4,5,31],[4,6,95],[5,6,35]]}",
"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],\"edges\":[[0,3,41],[0,4,56],[0,5,27],[0,6,65],[1,2,95],[1,5,33],[1,6,100],[2,3,85],[2,4,49],[2,5,69],[3,4,7],[3,5,68],[3,6,92],[4,5,31],[4,6,95],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (2,4)\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,56],[0,5,27],[0,6,65],[1,2,95],[1,5,33],[1,6,100],[2,3,85],[2,4,49],[2,5,69],[3,4,7],[3,5,68],[3,6,92],[4,5,31],[4,6,95],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7, w=7\",\"Add (0,5)=27, w=34\",\"Add (4,5)=31, w=65\",\"Add (1,5)=33, w=98\",\"Add (5,6)=35, w=133\",\"Add (2,4)=49, 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],\"edges\":[[0,3,41],[0,4,56],[0,5,27],[0,6,65],[1,2,95],[1,5,33],[1,6,100],[2,3,85],[2,4,49],[2,5,69],[3,4,7],[3,5,68],[3,6,92],[4,5,31],[4,6,95],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=7 Succeeded, w=7\",\"Add (0,5)=27 Succeeded, w=34\",\"Add (4,5)=31 Succeeded, w=65\",\"Add (1,5)=33 Succeeded, w=98\",\"Add (5,6)=35 Succeeded, w=133\",\"Add (0,3)=41 Failed, w=133\",\"Add (2,4)=49 Succeeded, w=182\",\"Add (0,4)=56 Failed, w=182\",\"Add (0,6)=65 Failed, w=182\",\"Add (3,5)=68 Failed, w=182\",\"Add (2,5)=69 Failed, w=182\",\"Add (2,3)=85 Failed, w=182\",\"Add (3,6)=92 Failed, w=182\",\"Add (1,2)=95 Failed, w=182\",\"Add (4,6)=95 Failed, w=182\",\"Add (1,6)=100 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,56],[0,5,27],[0,6,65],[1,2,95],[1,5,33],[1,6,100],[2,3,85],[2,4,49],[2,5,69],[3,4,7],[3,5,68],[3,6,92],[4,5,31],[4,6,95],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(0,5)=27,(4,5)=31,(1,5)=33,(5,6)=35,(0,3)=41,(2,4)=49,(0,4)=56,(0,6)=65,(3,5)=68,(2,5)=69,(2,3)=85,(3,6)=92,(1,2)=95,(4,6)=95,(1,6)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=34\",\"Find(4)=3, Find(5)=0, Add (4,5)=31 Succeeded, w=65\",\"Find(1)=1, Find(5)=3, Add (1,5)=33 Succeeded, w=98\",\"Find(5)=3, Find(6)=6, Add (5,6)=35 Succeeded, w=133\",\"Find(0)=3, Find(3)=3, Add (0,3)=41 Failed, w=133\",\"Find(2)=2, Find(4)=3, Add (2,4)=49 Succeeded, w=182\",\"Find(0)=3, Find(4)=3, Add (0,4)=56 Failed, w=182\",\"Find(0)=3, Find(6)=3, Add (0,6)=65 Failed, w=182\",\"Find(3)=3, Find(5)=3, Add (3,5)=68 Failed, w=182\",\"Find(2)=3, Find(5)=3, Add (2,5)=69 Failed, w=182\",\"Find(2)=3, Find(3)=3, Add (2,3)=85 Failed, w=182\",\"Find(3)=3, Find(6)=3, Add (3,6)=92 Failed, w=182\",\"Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=182\",\"Find(4)=3, Find(6)=3, Add (4,6)=95 Failed, w=182\",\"Find(1)=3, Find(6)=3, Add (1,6)=100 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,41],[0,4,56],[0,5,27],[0,6,65],[1,2,95],[1,5,33],[1,6,100],[2,3,85],[2,4,49],[2,5,69],[3,4,7],[3,5,68],[3,6,92],[4,5,31],[4,6,95],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=7,(0,5)=27,(4,5)=31,(1,5)=33,(5,6)=35,(0,3)=41,(2,4)=49,(0,4)=56,(0,6)=65,(3,5)=68,(2,5)=69,(2,3)=85,(3,6)=92,(1,2)=95,(4,6)=95,(1,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 6}, Find(4)=3, Find(5)=0, Add (4,5)=31 Succeeded, w=65\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=1, Find(5)=3, Add (1,5)=33 Succeeded, w=98\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=6, Add (5,6)=35 Succeeded, w=133\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=41 Failed, w=133\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=2, Find(4)=3, Add (2,4)=49 Succeeded, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=56 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=65 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=68 Failed, w=182\",\"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=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=85 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=92 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=95 Failed, w=182\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=100 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,48],[0,2,69],[0,3,26],[0,4,91],[0,5,87],[1,2,40],[1,3,25],[1,4,96],[1,5,85],[2,5,52],[3,4,86],[3,5,62],[4,5,37]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,69],[0,3,26],[0,4,91],[0,5,87],[1,2,40],[1,3,25],[1,4,96],[1,5,85],[2,5,52],[3,4,86],[3,5,62],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,69],[0,3,26],[0,4,91],[0,5,87],[1,2,40],[1,3,25],[1,4,96],[1,5,85],[2,5,52],[3,4,86],[3,5,62],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (2,5)\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,69],[0,3,26],[0,4,91],[0,5,87],[1,2,40],[1,3,25],[1,4,96],[1,5,85],[2,5,52],[3,4,86],[3,5,62],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=25, w=25\",\"Add (0,3)=26, w=51\",\"Add (4,5)=37, w=88\",\"Add (1,2)=40, w=128\",\"Add (2,5)=52, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,69],[0,3,26],[0,4,91],[0,5,87],[1,2,40],[1,3,25],[1,4,96],[1,5,85],[2,5,52],[3,4,86],[3,5,62],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=25 Succeeded, w=25\",\"Add (0,3)=26 Succeeded, w=51\",\"Add (4,5)=37 Succeeded, w=88\",\"Add (1,2)=40 Succeeded, w=128\",\"Add (0,1)=48 Failed, w=128\",\"Add (2,5)=52 Succeeded, w=180\",\"Add (3,5)=62 Failed, w=180\",\"Add (0,2)=69 Failed, w=180\",\"Add (1,5)=85 Failed, w=180\",\"Add (3,4)=86 Failed, w=180\",\"Add (0,5)=87 Failed, w=180\",\"Add (0,4)=91 Failed, w=180\",\"Add (1,4)=96 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,69],[0,3,26],[0,4,91],[0,5,87],[1,2,40],[1,3,25],[1,4,96],[1,5,85],[2,5,52],[3,4,86],[3,5,62],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=25,(0,3)=26,(4,5)=37,(1,2)=40,(0,1)=48,(2,5)=52,(3,5)=62,(0,2)=69,(1,5)=85,(3,4)=86,(0,5)=87,(0,4)=91,(1,4)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=25\",\"Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=51\",\"Find(4)=4, Find(5)=5, Add (4,5)=37 Succeeded, w=88\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=128\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=128\",\"Find(2)=1, Find(5)=4, Add (2,5)=52 Succeeded, w=180\",\"Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=180\",\"Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=180\",\"Find(1)=1, Find(5)=1, Add (1,5)=85 Failed, w=180\",\"Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=180\",\"Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=180\",\"Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=180\",\"Find(1)=1, Find(4)=1, Add (1,4)=96 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,48],[0,2,69],[0,3,26],[0,4,91],[0,5,87],[1,2,40],[1,3,25],[1,4,96],[1,5,85],[2,5,52],[3,4,86],[3,5,62],[4,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=25,(0,3)=26,(4,5)=37,(1,2)=40,(0,1)=48,(2,5)=52,(3,5)=62,(0,2)=69,(1,5)=85,(3,4)=86,(0,5)=87,(0,4)=91,(1,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=37 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(5)=4, Add (2,5)=52 Succeeded, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=62 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=69 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=85 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=86 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=96 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,0],[0,2,2],[0,3,41],[0,4,27],[0,5,5],[0,6,21],[0,7,29],[1,2,79],[1,3,49],[1,4,92],[1,5,4],[1,6,68],[1,7,55],[2,3,47],[2,4,63],[2,5,18],[2,6,18],[2,7,15],[3,4,83],[3,5,21],[3,6,43],[3,7,21],[4,5,48],[4,6,92],[5,6,56],[5,7,86],[6,7,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,2],[0,3,41],[0,4,27],[0,5,5],[0,6,21],[0,7,29],[1,2,79],[1,3,49],[1,4,92],[1,5,4],[1,6,68],[1,7,55],[2,3,47],[2,4,63],[2,5,18],[2,6,18],[2,7,15],[3,4,83],[3,5,21],[3,6,43],[3,7,21],[4,5,48],[4,6,92],[5,6,56],[5,7,86],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,2],[0,3,41],[0,4,27],[0,5,5],[0,6,21],[0,7,29],[1,2,79],[1,3,49],[1,4,92],[1,5,4],[1,6,68],[1,7,55],[2,3,47],[2,4,63],[2,5,18],[2,6,18],[2,7,15],[3,4,83],[3,5,21],[3,6,43],[3,7,21],[4,5,48],[4,6,92],[5,6,56],[5,7,86],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (2,7)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (0,4)\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,2],[0,3,41],[0,4,27],[0,5,5],[0,6,21],[0,7,29],[1,2,79],[1,3,49],[1,4,92],[1,5,4],[1,6,68],[1,7,55],[2,3,47],[2,4,63],[2,5,18],[2,6,18],[2,7,15],[3,4,83],[3,5,21],[3,6,43],[3,7,21],[4,5,48],[4,6,92],[5,6,56],[5,7,86],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (0,2)=2, w=2\",\"Add (1,5)=4, w=6\",\"Add (2,7)=15, w=21\",\"Add (2,6)=18, w=39\",\"Add (3,5)=21, w=60\",\"Add (0,4)=27, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,2],[0,3,41],[0,4,27],[0,5,5],[0,6,21],[0,7,29],[1,2,79],[1,3,49],[1,4,92],[1,5,4],[1,6,68],[1,7,55],[2,3,47],[2,4,63],[2,5,18],[2,6,18],[2,7,15],[3,4,83],[3,5,21],[3,6,43],[3,7,21],[4,5,48],[4,6,92],[5,6,56],[5,7,86],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,5)=4 Succeeded, w=6\",\"Add (0,5)=5 Failed, w=6\",\"Add (2,7)=15 Succeeded, w=21\",\"Add (2,5)=18 Failed, w=21\",\"Add (2,6)=18 Succeeded, w=39\",\"Add (0,6)=21 Failed, w=39\",\"Add (3,5)=21 Succeeded, w=60\",\"Add (3,7)=21 Failed, w=60\",\"Add (0,4)=27 Succeeded, w=87\",\"Add (0,7)=29 Failed, w=87\",\"Add (0,3)=41 Failed, w=87\",\"Add (3,6)=43 Failed, w=87\",\"Add (2,3)=47 Failed, w=87\",\"Add (4,5)=48 Failed, w=87\",\"Add (1,3)=49 Failed, w=87\",\"Add (1,7)=55 Failed, w=87\",\"Add (5,6)=56 Failed, w=87\",\"Add (2,4)=63 Failed, w=87\",\"Add (1,6)=68 Failed, w=87\",\"Add (1,2)=79 Failed, w=87\",\"Add (6,7)=81 Failed, w=87\",\"Add (3,4)=83 Failed, w=87\",\"Add (5,7)=86 Failed, w=87\",\"Add (1,4)=92 Failed, w=87\",\"Add (4,6)=92 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,2],[0,3,41],[0,4,27],[0,5,5],[0,6,21],[0,7,29],[1,2,79],[1,3,49],[1,4,92],[1,5,4],[1,6,68],[1,7,55],[2,3,47],[2,4,63],[2,5,18],[2,6,18],[2,7,15],[3,4,83],[3,5,21],[3,6,43],[3,7,21],[4,5,48],[4,6,92],[5,6,56],[5,7,86],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,2)=2,(1,5)=4,(0,5)=5,(2,7)=15,(2,5)=18,(2,6)=18,(0,6)=21,(3,5)=21,(3,7)=21,(0,4)=27,(0,7)=29,(0,3)=41,(3,6)=43,(2,3)=47,(4,5)=48,(1,3)=49,(1,7)=55,(5,6)=56,(2,4)=63,(1,6)=68,(1,2)=79,(6,7)=81,(3,4)=83,(5,7)=86,(1,4)=92,(4,6)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=0, Find(5)=5, Add (1,5)=4 Succeeded, w=6\",\"Find(0)=0, Find(5)=0, Add (0,5)=5 Failed, w=6\",\"Find(2)=0, Find(7)=7, Add (2,7)=15 Succeeded, w=21\",\"Find(2)=0, Find(5)=0, Add (2,5)=18 Failed, w=21\",\"Find(2)=0, Find(6)=6, Add (2,6)=18 Succeeded, w=39\",\"Find(0)=0, Find(6)=0, Add (0,6)=21 Failed, w=39\",\"Find(3)=3, Find(5)=0, Add (3,5)=21 Succeeded, w=60\",\"Find(3)=0, Find(7)=0, Add (3,7)=21 Failed, w=60\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=87\",\"Find(0)=0, Find(7)=0, Add (0,7)=29 Failed, w=87\",\"Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=87\",\"Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=87\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=87\",\"Find(4)=0, Find(5)=0, Add (4,5)=48 Failed, w=87\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=87\",\"Find(1)=0, Find(7)=0, Add (1,7)=55 Failed, w=87\",\"Find(5)=0, Find(6)=0, Add (5,6)=56 Failed, w=87\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=87\",\"Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=87\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=87\",\"Find(6)=0, Find(7)=0, Add (6,7)=81 Failed, w=87\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=87\",\"Find(5)=0, Find(7)=0, Add (5,7)=86 Failed, w=87\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=87\",\"Find(4)=0, Find(6)=0, Add (4,6)=92 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,0],[0,2,2],[0,3,41],[0,4,27],[0,5,5],[0,6,21],[0,7,29],[1,2,79],[1,3,49],[1,4,92],[1,5,4],[1,6,68],[1,7,55],[2,3,47],[2,4,63],[2,5,18],[2,6,18],[2,7,15],[3,4,83],[3,5,21],[3,6,43],[3,7,21],[4,5,48],[4,6,92],[5,6,56],[5,7,86],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(0,2)=2,(1,5)=4,(0,5)=5,(2,7)=15,(2,5)=18,(2,6)=18,(0,6)=21,(3,5)=21,(3,7)=21,(0,4)=27,(0,7)=29,(0,3)=41,(3,6)=43,(2,3)=47,(4,5)=48,(1,3)=49,(1,7)=55,(5,6)=56,(2,4)=63,(1,6)=68,(1,2)=79,(6,7)=81,(3,4)=83,(5,7)=86,(1,4)=92,(4,6)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(1)=0, Find(5)=5, Add (1,5)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=5 Failed, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(7)=7, Add (2,7)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=18 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=6, Add (2,6)=18 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=21 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(5)=0, Add (3,5)=21 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=21 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=87\",\"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)=29 Failed, w=87\",\"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)=41 Failed, w=87\",\"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)=43 Failed, w=87\",\"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)=47 Failed, w=87\",\"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)=48 Failed, w=87\",\"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)=49 Failed, w=87\",\"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)=55 Failed, w=87\",\"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)=56 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=87\",\"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)=68 Failed, w=87\",\"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)=79 Failed, w=87\",\"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)=81 Failed, w=87\",\"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)=83 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=86 Failed, w=87\",\"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)=92 Failed, w=87\",\"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)=92 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,20],[0,2,13],[0,3,49],[0,4,69],[2,3,86],[2,4,31],[3,4,8]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,13],[0,3,49],[0,4,69],[2,3,86],[2,4,31],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,13],[0,3,49],[0,4,69],[2,3,86],[2,4,31],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,13],[0,3,49],[0,4,69],[2,3,86],[2,4,31],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (0,2)=13, w=21\",\"Add (0,1)=20, w=41\",\"Add (2,4)=31, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,13],[0,3,49],[0,4,69],[2,3,86],[2,4,31],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (0,2)=13 Succeeded, w=21\",\"Add (0,1)=20 Succeeded, w=41\",\"Add (2,4)=31 Succeeded, w=72\",\"Add (0,3)=49 Failed, w=72\",\"Add (0,4)=69 Failed, w=72\",\"Add (2,3)=86 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,13],[0,3,49],[0,4,69],[2,3,86],[2,4,31],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(0,2)=13,(0,1)=20,(2,4)=31,(0,3)=49,(0,4)=69,(2,3)=86]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=41\",\"Find(2)=0, Find(4)=3, Add (2,4)=31 Succeeded, w=72\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=72\",\"Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=72\",\"Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,20],[0,2,13],[0,3,49],[0,4,69],[2,3,86],[2,4,31],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(0,2)=13,(0,1)=20,(2,4)=31,(0,3)=49,(0,4)=69,(2,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(4)=3, Add (2,4)=31 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=69 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,64],[0,5,17],[1,3,86],[1,4,86],[1,5,76],[2,3,89],[2,4,13],[2,5,23],[3,4,28],[3,5,80]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,17],[1,3,86],[1,4,86],[1,5,76],[2,3,89],[2,4,13],[2,5,23],[3,4,28],[3,5,80]]}",
"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],\"edges\":[[0,4,64],[0,5,17],[1,3,86],[1,4,86],[1,5,76],[2,3,89],[2,4,13],[2,5,23],[3,4,28],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,17],[1,3,86],[1,4,86],[1,5,76],[2,3,89],[2,4,13],[2,5,23],[3,4,28],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=13, w=13\",\"Add (0,5)=17, w=30\",\"Add (2,5)=23, w=53\",\"Add (3,4)=28, w=81\",\"Add (1,5)=76, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,17],[1,3,86],[1,4,86],[1,5,76],[2,3,89],[2,4,13],[2,5,23],[3,4,28],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=13 Succeeded, w=13\",\"Add (0,5)=17 Succeeded, w=30\",\"Add (2,5)=23 Succeeded, w=53\",\"Add (3,4)=28 Succeeded, w=81\",\"Add (0,4)=64 Failed, w=81\",\"Add (1,5)=76 Succeeded, w=157\",\"Add (3,5)=80 Failed, w=157\",\"Add (1,3)=86 Failed, w=157\",\"Add (1,4)=86 Failed, w=157\",\"Add (2,3)=89 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,17],[1,3,86],[1,4,86],[1,5,76],[2,3,89],[2,4,13],[2,5,23],[3,4,28],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=13,(0,5)=17,(2,5)=23,(3,4)=28,(0,4)=64,(1,5)=76,(3,5)=80,(1,3)=86,(1,4)=86,(2,3)=89]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=13\",\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=30\",\"Find(2)=2, Find(5)=0, Add (2,5)=23 Succeeded, w=53\",\"Find(3)=3, Find(4)=2, Add (3,4)=28 Succeeded, w=81\",\"Find(0)=2, Find(4)=2, Add (0,4)=64 Failed, w=81\",\"Find(1)=1, Find(5)=2, Add (1,5)=76 Succeeded, w=157\",\"Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=157\",\"Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=157\",\"Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=157\",\"Find(2)=2, Find(3)=2, Add (2,3)=89 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,17],[1,3,86],[1,4,86],[1,5,76],[2,3,89],[2,4,13],[2,5,23],[3,4,28],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=13,(0,5)=17,(2,5)=23,(3,4)=28,(0,4)=64,(1,5)=76,(3,5)=80,(1,3)=86,(1,4)=86,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=30\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=23 Succeeded, w=53\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(3)=3, Find(4)=2, Add (3,4)=28 Succeeded, w=81\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(4)=2, Add (0,4)=64 Failed, w=81\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=76 Succeeded, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=86 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=89 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,81],[0,2,70],[0,3,46],[0,4,13],[0,5,69],[0,7,10],[1,2,97],[1,3,58],[1,4,26],[1,5,19],[1,7,94],[2,3,72],[2,4,48],[2,5,100],[2,6,82],[2,7,6],[3,4,7],[3,5,18],[3,7,62],[4,5,52],[4,6,4],[5,6,49],[6,7,68]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,70],[0,3,46],[0,4,13],[0,5,69],[0,7,10],[1,2,97],[1,3,58],[1,4,26],[1,5,19],[1,7,94],[2,3,72],[2,4,48],[2,5,100],[2,6,82],[2,7,6],[3,4,7],[3,5,18],[3,7,62],[4,5,52],[4,6,4],[5,6,49],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,70],[0,3,46],[0,4,13],[0,5,69],[0,7,10],[1,2,97],[1,3,58],[1,4,26],[1,5,19],[1,7,94],[2,3,72],[2,4,48],[2,5,100],[2,6,82],[2,7,6],[3,4,7],[3,5,18],[3,7,62],[4,5,52],[4,6,4],[5,6,49],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,7)\",\"Add (3,4)\",\"Add (0,7)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (1,5)\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,70],[0,3,46],[0,4,13],[0,5,69],[0,7,10],[1,2,97],[1,3,58],[1,4,26],[1,5,19],[1,7,94],[2,3,72],[2,4,48],[2,5,100],[2,6,82],[2,7,6],[3,4,7],[3,5,18],[3,7,62],[4,5,52],[4,6,4],[5,6,49],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=4, w=4\",\"Add (2,7)=6, w=10\",\"Add (3,4)=7, w=17\",\"Add (0,7)=10, w=27\",\"Add (0,4)=13, w=40\",\"Add (3,5)=18, w=58\",\"Add (1,5)=19, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,70],[0,3,46],[0,4,13],[0,5,69],[0,7,10],[1,2,97],[1,3,58],[1,4,26],[1,5,19],[1,7,94],[2,3,72],[2,4,48],[2,5,100],[2,6,82],[2,7,6],[3,4,7],[3,5,18],[3,7,62],[4,5,52],[4,6,4],[5,6,49],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=4 Succeeded, w=4\",\"Add (2,7)=6 Succeeded, w=10\",\"Add (3,4)=7 Succeeded, w=17\",\"Add (0,7)=10 Succeeded, w=27\",\"Add (0,4)=13 Succeeded, w=40\",\"Add (3,5)=18 Succeeded, w=58\",\"Add (1,5)=19 Succeeded, w=77\",\"Add (1,4)=26 Failed, w=77\",\"Add (0,3)=46 Failed, w=77\",\"Add (2,4)=48 Failed, w=77\",\"Add (5,6)=49 Failed, w=77\",\"Add (4,5)=52 Failed, w=77\",\"Add (1,3)=58 Failed, w=77\",\"Add (3,7)=62 Failed, w=77\",\"Add (6,7)=68 Failed, w=77\",\"Add (0,5)=69 Failed, w=77\",\"Add (0,2)=70 Failed, w=77\",\"Add (2,3)=72 Failed, w=77\",\"Add (0,1)=81 Failed, w=77\",\"Add (2,6)=82 Failed, w=77\",\"Add (1,7)=94 Failed, w=77\",\"Add (1,2)=97 Failed, w=77\",\"Add (2,5)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,70],[0,3,46],[0,4,13],[0,5,69],[0,7,10],[1,2,97],[1,3,58],[1,4,26],[1,5,19],[1,7,94],[2,3,72],[2,4,48],[2,5,100],[2,6,82],[2,7,6],[3,4,7],[3,5,18],[3,7,62],[4,5,52],[4,6,4],[5,6,49],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=4,(2,7)=6,(3,4)=7,(0,7)=10,(0,4)=13,(3,5)=18,(1,5)=19,(1,4)=26,(0,3)=46,(2,4)=48,(5,6)=49,(4,5)=52,(1,3)=58,(3,7)=62,(6,7)=68,(0,5)=69,(0,2)=70,(2,3)=72,(0,1)=81,(2,6)=82,(1,7)=94,(1,2)=97,(2,5)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=4 Succeeded, w=4\",\"Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=10\",\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=17\",\"Find(0)=0, Find(7)=2, Add (0,7)=10 Succeeded, w=27\",\"Find(0)=2, Find(4)=4, Add (0,4)=13 Succeeded, w=40\",\"Find(3)=2, Find(5)=5, Add (3,5)=18 Succeeded, w=58\",\"Find(1)=1, Find(5)=2, Add (1,5)=19 Succeeded, w=77\",\"Find(1)=2, Find(4)=2, Add (1,4)=26 Failed, w=77\",\"Find(0)=2, Find(3)=2, Add (0,3)=46 Failed, w=77\",\"Find(2)=2, Find(4)=2, Add (2,4)=48 Failed, w=77\",\"Find(5)=2, Find(6)=2, Add (5,6)=49 Failed, w=77\",\"Find(4)=2, Find(5)=2, Add (4,5)=52 Failed, w=77\",\"Find(1)=2, Find(3)=2, Add (1,3)=58 Failed, w=77\",\"Find(3)=2, Find(7)=2, Add (3,7)=62 Failed, w=77\",\"Find(6)=2, Find(7)=2, Add (6,7)=68 Failed, w=77\",\"Find(0)=2, Find(5)=2, Add (0,5)=69 Failed, w=77\",\"Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=77\",\"Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=77\",\"Find(0)=2, Find(1)=2, Add (0,1)=81 Failed, w=77\",\"Find(2)=2, Find(6)=2, Add (2,6)=82 Failed, w=77\",\"Find(1)=2, Find(7)=2, Add (1,7)=94 Failed, w=77\",\"Find(1)=2, Find(2)=2, Add (1,2)=97 Failed, w=77\",\"Find(2)=2, Find(5)=2, Add (2,5)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,70],[0,3,46],[0,4,13],[0,5,69],[0,7,10],[1,2,97],[1,3,58],[1,4,26],[1,5,19],[1,7,94],[2,3,72],[2,4,48],[2,5,100],[2,6,82],[2,7,6],[3,4,7],[3,5,18],[3,7,62],[4,5,52],[4,6,4],[5,6,49],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=4,(2,7)=6,(3,4)=7,(0,7)=10,(0,4)=13,(3,5)=18,(1,5)=19,(1,4)=26,(0,3)=46,(2,4)=48,(5,6)=49,(4,5)=52,(1,3)=58,(3,7)=62,(6,7)=68,(0,5)=69,(0,2)=70,(2,3)=72,(0,1)=81,(2,6)=82,(1,7)=94,(1,2)=97,(2,5)=100]\",\"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)=4 Succeeded, w=4\",\"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)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 2}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=10 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 4, 4: 2, 5: 5, 6: 4, 7: 2}, Find(0)=2, Find(4)=4, Add (0,4)=13 Succeeded, w=40\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(3)=2, Find(5)=5, Add (3,5)=18 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(1)=1, Find(5)=2, Add (1,5)=19 Succeeded, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=26 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=46 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=48 Failed, w=77\",\"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)=49 Failed, w=77\",\"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)=52 Failed, w=77\",\"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)=58 Failed, w=77\",\"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)=62 Failed, w=77\",\"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)=68 Failed, w=77\",\"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)=69 Failed, w=77\",\"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)=70 Failed, w=77\",\"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)=72 Failed, w=77\",\"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)=81 Failed, w=77\",\"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)=82 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=94 Failed, w=77\",\"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)=97 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,65],[0,2,37],[0,3,3],[0,4,83],[0,5,45],[0,6,58],[1,2,24],[1,3,50],[1,4,67],[1,5,59],[1,6,17],[1,7,71],[2,3,71],[2,5,11],[3,5,77],[3,6,87],[3,7,80],[4,5,8],[4,6,4],[4,7,55],[5,6,46],[5,7,78],[6,7,16]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,37],[0,3,3],[0,4,83],[0,5,45],[0,6,58],[1,2,24],[1,3,50],[1,4,67],[1,5,59],[1,6,17],[1,7,71],[2,3,71],[2,5,11],[3,5,77],[3,6,87],[3,7,80],[4,5,8],[4,6,4],[4,7,55],[5,6,46],[5,7,78],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,37],[0,3,3],[0,4,83],[0,5,45],[0,6,58],[1,2,24],[1,3,50],[1,4,67],[1,5,59],[1,6,17],[1,7,71],[2,3,71],[2,5,11],[3,5,77],[3,6,87],[3,7,80],[4,5,8],[4,6,4],[4,7,55],[5,6,46],[5,7,78],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (6,7)\",\"Add (1,6)\",\"Add (0,2)\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,37],[0,3,3],[0,4,83],[0,5,45],[0,6,58],[1,2,24],[1,3,50],[1,4,67],[1,5,59],[1,6,17],[1,7,71],[2,3,71],[2,5,11],[3,5,77],[3,6,87],[3,7,80],[4,5,8],[4,6,4],[4,7,55],[5,6,46],[5,7,78],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (4,6)=4, w=7\",\"Add (4,5)=8, w=15\",\"Add (2,5)=11, w=26\",\"Add (6,7)=16, w=42\",\"Add (1,6)=17, w=59\",\"Add (0,2)=37, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,37],[0,3,3],[0,4,83],[0,5,45],[0,6,58],[1,2,24],[1,3,50],[1,4,67],[1,5,59],[1,6,17],[1,7,71],[2,3,71],[2,5,11],[3,5,77],[3,6,87],[3,7,80],[4,5,8],[4,6,4],[4,7,55],[5,6,46],[5,7,78],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (4,6)=4 Succeeded, w=7\",\"Add (4,5)=8 Succeeded, w=15\",\"Add (2,5)=11 Succeeded, w=26\",\"Add (6,7)=16 Succeeded, w=42\",\"Add (1,6)=17 Succeeded, w=59\",\"Add (1,2)=24 Failed, w=59\",\"Add (0,2)=37 Succeeded, w=96\",\"Add (0,5)=45 Failed, w=96\",\"Add (5,6)=46 Failed, w=96\",\"Add (1,3)=50 Failed, w=96\",\"Add (4,7)=55 Failed, w=96\",\"Add (0,6)=58 Failed, w=96\",\"Add (1,5)=59 Failed, w=96\",\"Add (0,1)=65 Failed, w=96\",\"Add (1,4)=67 Failed, w=96\",\"Add (1,7)=71 Failed, w=96\",\"Add (2,3)=71 Failed, w=96\",\"Add (3,5)=77 Failed, w=96\",\"Add (5,7)=78 Failed, w=96\",\"Add (3,7)=80 Failed, w=96\",\"Add (0,4)=83 Failed, w=96\",\"Add (3,6)=87 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,37],[0,3,3],[0,4,83],[0,5,45],[0,6,58],[1,2,24],[1,3,50],[1,4,67],[1,5,59],[1,6,17],[1,7,71],[2,3,71],[2,5,11],[3,5,77],[3,6,87],[3,7,80],[4,5,8],[4,6,4],[4,7,55],[5,6,46],[5,7,78],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(4,6)=4,(4,5)=8,(2,5)=11,(6,7)=16,(1,6)=17,(1,2)=24,(0,2)=37,(0,5)=45,(5,6)=46,(1,3)=50,(4,7)=55,(0,6)=58,(1,5)=59,(0,1)=65,(1,4)=67,(1,7)=71,(2,3)=71,(3,5)=77,(5,7)=78,(3,7)=80,(0,4)=83,(3,6)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(4)=4, Find(6)=6, Add (4,6)=4 Succeeded, w=7\",\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=15\",\"Find(2)=2, Find(5)=4, Add (2,5)=11 Succeeded, w=26\",\"Find(6)=4, Find(7)=7, Add (6,7)=16 Succeeded, w=42\",\"Find(1)=1, Find(6)=4, Add (1,6)=17 Succeeded, w=59\",\"Find(1)=4, Find(2)=4, Add (1,2)=24 Failed, w=59\",\"Find(0)=0, Find(2)=4, Add (0,2)=37 Succeeded, w=96\",\"Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=96\",\"Find(5)=0, Find(6)=0, Add (5,6)=46 Failed, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=96\",\"Find(4)=0, Find(7)=0, Add (4,7)=55 Failed, w=96\",\"Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=96\",\"Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=96\",\"Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=96\",\"Find(1)=0, Find(7)=0, Add (1,7)=71 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=96\",\"Find(3)=0, Find(5)=0, Add (3,5)=77 Failed, w=96\",\"Find(5)=0, Find(7)=0, Add (5,7)=78 Failed, w=96\",\"Find(3)=0, Find(7)=0, Add (3,7)=80 Failed, w=96\",\"Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=96\",\"Find(3)=0, Find(6)=0, Add (3,6)=87 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,65],[0,2,37],[0,3,3],[0,4,83],[0,5,45],[0,6,58],[1,2,24],[1,3,50],[1,4,67],[1,5,59],[1,6,17],[1,7,71],[2,3,71],[2,5,11],[3,5,77],[3,6,87],[3,7,80],[4,5,8],[4,6,4],[4,7,55],[5,6,46],[5,7,78],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(4,6)=4,(4,5)=8,(2,5)=11,(6,7)=16,(1,6)=17,(1,2)=24,(0,2)=37,(0,5)=45,(5,6)=46,(1,3)=50,(4,7)=55,(0,6)=58,(1,5)=59,(0,1)=65,(1,4)=67,(1,7)=71,(2,3)=71,(3,5)=77,(5,7)=78,(3,7)=80,(0,4)=83,(3,6)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 7}, Find(2)=2, Find(5)=4, Add (2,5)=11 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=7, Add (6,7)=16 Succeeded, w=42\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=1, Find(6)=4, Add (1,6)=17 Succeeded, w=59\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=24 Failed, w=59\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 4, 6: 4, 7: 4}, Find(0)=0, Find(2)=4, Add (0,2)=37 Succeeded, w=96\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 0, 6: 4, 7: 4}, Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=96\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(5)=0, Find(6)=0, Add (5,6)=46 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=96\",\"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)=55 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=59 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=71 Failed, w=96\",\"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)=71 Failed, w=96\",\"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)=77 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=78 Failed, w=96\",\"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=96\",\"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)=83 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=87 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,97],[0,3,15],[0,4,56],[0,6,61],[1,2,50],[1,3,44],[1,4,86],[1,5,69],[1,6,28],[2,3,55],[2,4,72],[2,5,45],[2,6,70],[3,5,0],[4,5,63],[5,6,57]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,3,15],[0,4,56],[0,6,61],[1,2,50],[1,3,44],[1,4,86],[1,5,69],[1,6,28],[2,3,55],[2,4,72],[2,5,45],[2,6,70],[3,5,0],[4,5,63],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,3,15],[0,4,56],[0,6,61],[1,2,50],[1,3,44],[1,4,86],[1,5,69],[1,6,28],[2,3,55],[2,4,72],[2,5,45],[2,6,70],[3,5,0],[4,5,63],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,3)\",\"Add (1,6)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (0,4)\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,3,15],[0,4,56],[0,6,61],[1,2,50],[1,3,44],[1,4,86],[1,5,69],[1,6,28],[2,3,55],[2,4,72],[2,5,45],[2,6,70],[3,5,0],[4,5,63],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (0,3)=15, w=15\",\"Add (1,6)=28, w=43\",\"Add (1,3)=44, w=87\",\"Add (2,5)=45, w=132\",\"Add (0,4)=56, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,3,15],[0,4,56],[0,6,61],[1,2,50],[1,3,44],[1,4,86],[1,5,69],[1,6,28],[2,3,55],[2,4,72],[2,5,45],[2,6,70],[3,5,0],[4,5,63],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (0,3)=15 Succeeded, w=15\",\"Add (1,6)=28 Succeeded, w=43\",\"Add (1,3)=44 Succeeded, w=87\",\"Add (2,5)=45 Succeeded, w=132\",\"Add (1,2)=50 Failed, w=132\",\"Add (2,3)=55 Failed, w=132\",\"Add (0,4)=56 Succeeded, w=188\",\"Add (5,6)=57 Failed, w=188\",\"Add (0,6)=61 Failed, w=188\",\"Add (4,5)=63 Failed, w=188\",\"Add (1,5)=69 Failed, w=188\",\"Add (2,6)=70 Failed, w=188\",\"Add (2,4)=72 Failed, w=188\",\"Add (1,4)=86 Failed, w=188\",\"Add (0,1)=97 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,3,15],[0,4,56],[0,6,61],[1,2,50],[1,3,44],[1,4,86],[1,5,69],[1,6,28],[2,3,55],[2,4,72],[2,5,45],[2,6,70],[3,5,0],[4,5,63],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(0,3)=15,(1,6)=28,(1,3)=44,(2,5)=45,(1,2)=50,(2,3)=55,(0,4)=56,(5,6)=57,(0,6)=61,(4,5)=63,(1,5)=69,(2,6)=70,(2,4)=72,(1,4)=86,(0,1)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(1)=1, Find(6)=6, Add (1,6)=28 Succeeded, w=43\",\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=87\",\"Find(2)=2, Find(5)=1, Add (2,5)=45 Succeeded, w=132\",\"Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=132\",\"Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=132\",\"Find(0)=1, Find(4)=4, Add (0,4)=56 Succeeded, w=188\",\"Find(5)=1, Find(6)=1, Add (5,6)=57 Failed, w=188\",\"Find(0)=1, Find(6)=1, Add (0,6)=61 Failed, w=188\",\"Find(4)=1, Find(5)=1, Add (4,5)=63 Failed, w=188\",\"Find(1)=1, Find(5)=1, Add (1,5)=69 Failed, w=188\",\"Find(2)=1, Find(6)=1, Add (2,6)=70 Failed, w=188\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=188\",\"Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=188\",\"Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,97],[0,3,15],[0,4,56],[0,6,61],[1,2,50],[1,3,44],[1,4,86],[1,5,69],[1,6,28],[2,3,55],[2,4,72],[2,5,45],[2,6,70],[3,5,0],[4,5,63],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(0,3)=15,(1,6)=28,(1,3)=44,(2,5)=45,(1,2)=50,(2,3)=55,(0,4)=56,(5,6)=57,(0,6)=61,(4,5)=63,(1,5)=69,(2,6)=70,(2,4)=72,(1,4)=86,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=28 Succeeded, w=43\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 1, 4: 4, 5: 3, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=87\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=2, Find(5)=1, Add (2,5)=45 Succeeded, w=132\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=50 Failed, w=132\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=4, Add (0,4)=56 Succeeded, w=188\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=57 Failed, w=188\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=61 Failed, w=188\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=63 Failed, w=188\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=69 Failed, w=188\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=70 Failed, w=188\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=188\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=188\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,4,68],[1,2,36],[1,3,37],[2,3,33],[2,4,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,2,36],[1,3,37],[2,3,33],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,2,36],[1,3,37],[2,3,33],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,2,36],[1,3,37],[2,3,33],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33, w=33\",\"Add (2,4)=35, w=68\",\"Add (1,2)=36, w=104\",\"Add (0,4)=68, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,2,36],[1,3,37],[2,3,33],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=33 Succeeded, w=33\",\"Add (2,4)=35 Succeeded, w=68\",\"Add (1,2)=36 Succeeded, w=104\",\"Add (1,3)=37 Failed, w=104\",\"Add (0,4)=68 Succeeded, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,2,36],[1,3,37],[2,3,33],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(2,4)=35,(1,2)=36,(1,3)=37,(0,4)=68]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=68\",\"Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=104\",\"Find(1)=2, Find(3)=2, Add (1,3)=37 Failed, w=104\",\"Find(0)=0, Find(4)=2, Add (0,4)=68 Succeeded, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,4,68],[1,2,36],[1,3,37],[2,3,33],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=33,(2,4)=35,(1,2)=36,(1,3)=37,(0,4)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=35 Succeeded, w=68\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=104\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=37 Failed, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=68 Succeeded, w=172\"],\"Answer\":172}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,5],[0,3,78],[0,4,44],[1,2,18],[1,3,28],[1,4,23],[2,3,46],[2,4,87],[3,4,82]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,78],[0,4,44],[1,2,18],[1,3,28],[1,4,23],[2,3,46],[2,4,87],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,78],[0,4,44],[1,2,18],[1,3,28],[1,4,23],[2,3,46],[2,4,87],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,78],[0,4,44],[1,2,18],[1,3,28],[1,4,23],[2,3,46],[2,4,87],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (1,2)=18, w=23\",\"Add (1,4)=23, w=46\",\"Add (1,3)=28, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,78],[0,4,44],[1,2,18],[1,3,28],[1,4,23],[2,3,46],[2,4,87],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (1,2)=18 Succeeded, w=23\",\"Add (1,4)=23 Succeeded, w=46\",\"Add (1,3)=28 Succeeded, w=74\",\"Add (0,4)=44 Failed, w=74\",\"Add (2,3)=46 Failed, w=74\",\"Add (0,3)=78 Failed, w=74\",\"Add (3,4)=82 Failed, w=74\",\"Add (2,4)=87 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,78],[0,4,44],[1,2,18],[1,3,28],[1,4,23],[2,3,46],[2,4,87],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,2)=18,(1,4)=23,(1,3)=28,(0,4)=44,(2,3)=46,(0,3)=78,(3,4)=82,(2,4)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=23\",\"Find(1)=0, Find(4)=4, Add (1,4)=23 Succeeded, w=46\",\"Find(1)=0, Find(3)=3, Add (1,3)=28 Succeeded, w=74\",\"Find(0)=0, Find(4)=0, Add (0,4)=44 Failed, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,78],[0,4,44],[1,2,18],[1,3,28],[1,4,23],[2,3,46],[2,4,87],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(1,2)=18,(1,4)=23,(1,3)=28,(0,4)=44,(2,3)=46,(0,3)=78,(3,4)=82,(2,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=23 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=28 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=44 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,76],[0,3,71],[0,4,85],[0,5,86],[0,6,39],[0,7,58],[1,2,12],[1,3,53],[1,4,38],[1,6,84],[1,7,69],[2,3,36],[2,4,55],[2,5,47],[2,6,11],[3,4,66],[3,5,3],[3,6,0],[3,7,26],[4,5,13],[4,6,72],[4,7,31],[5,6,65],[5,7,85],[6,7,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,71],[0,4,85],[0,5,86],[0,6,39],[0,7,58],[1,2,12],[1,3,53],[1,4,38],[1,6,84],[1,7,69],[2,3,36],[2,4,55],[2,5,47],[2,6,11],[3,4,66],[3,5,3],[3,6,0],[3,7,26],[4,5,13],[4,6,72],[4,7,31],[5,6,65],[5,7,85],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,71],[0,4,85],[0,5,86],[0,6,39],[0,7,58],[1,2,12],[1,3,53],[1,4,38],[1,6,84],[1,7,69],[2,3,36],[2,4,55],[2,5,47],[2,6,11],[3,4,66],[3,5,3],[3,6,0],[3,7,26],[4,5,13],[4,6,72],[4,7,31],[5,6,65],[5,7,85],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (6,7)\",\"Add (0,6)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,71],[0,4,85],[0,5,86],[0,6,39],[0,7,58],[1,2,12],[1,3,53],[1,4,38],[1,6,84],[1,7,69],[2,3,36],[2,4,55],[2,5,47],[2,6,11],[3,4,66],[3,5,3],[3,6,0],[3,7,26],[4,5,13],[4,6,72],[4,7,31],[5,6,65],[5,7,85],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (3,5)=3, w=3\",\"Add (2,6)=11, w=14\",\"Add (1,2)=12, w=26\",\"Add (4,5)=13, w=39\",\"Add (6,7)=15, w=54\",\"Add (0,6)=39, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,71],[0,4,85],[0,5,86],[0,6,39],[0,7,58],[1,2,12],[1,3,53],[1,4,38],[1,6,84],[1,7,69],[2,3,36],[2,4,55],[2,5,47],[2,6,11],[3,4,66],[3,5,3],[3,6,0],[3,7,26],[4,5,13],[4,6,72],[4,7,31],[5,6,65],[5,7,85],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (3,5)=3 Succeeded, w=3\",\"Add (2,6)=11 Succeeded, w=14\",\"Add (1,2)=12 Succeeded, w=26\",\"Add (4,5)=13 Succeeded, w=39\",\"Add (6,7)=15 Succeeded, w=54\",\"Add (3,7)=26 Failed, w=54\",\"Add (4,7)=31 Failed, w=54\",\"Add (2,3)=36 Failed, w=54\",\"Add (1,4)=38 Failed, w=54\",\"Add (0,6)=39 Succeeded, w=93\",\"Add (2,5)=47 Failed, w=93\",\"Add (1,3)=53 Failed, w=93\",\"Add (2,4)=55 Failed, w=93\",\"Add (0,7)=58 Failed, w=93\",\"Add (5,6)=65 Failed, w=93\",\"Add (3,4)=66 Failed, w=93\",\"Add (1,7)=69 Failed, w=93\",\"Add (0,3)=71 Failed, w=93\",\"Add (4,6)=72 Failed, w=93\",\"Add (0,2)=76 Failed, w=93\",\"Add (1,6)=84 Failed, w=93\",\"Add (0,4)=85 Failed, w=93\",\"Add (5,7)=85 Failed, w=93\",\"Add (0,5)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,71],[0,4,85],[0,5,86],[0,6,39],[0,7,58],[1,2,12],[1,3,53],[1,4,38],[1,6,84],[1,7,69],[2,3,36],[2,4,55],[2,5,47],[2,6,11],[3,4,66],[3,5,3],[3,6,0],[3,7,26],[4,5,13],[4,6,72],[4,7,31],[5,6,65],[5,7,85],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(3,5)=3,(2,6)=11,(1,2)=12,(4,5)=13,(6,7)=15,(3,7)=26,(4,7)=31,(2,3)=36,(1,4)=38,(0,6)=39,(2,5)=47,(1,3)=53,(2,4)=55,(0,7)=58,(5,6)=65,(3,4)=66,(1,7)=69,(0,3)=71,(4,6)=72,(0,2)=76,(1,6)=84,(0,4)=85,(5,7)=85,(0,5)=86]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(2)=2, Find(6)=3, Add (2,6)=11 Succeeded, w=14\",\"Find(1)=1, Find(2)=3, Add (1,2)=12 Succeeded, w=26\",\"Find(4)=4, Find(5)=3, Add (4,5)=13 Succeeded, w=39\",\"Find(6)=3, Find(7)=7, Add (6,7)=15 Succeeded, w=54\",\"Find(3)=3, Find(7)=3, Add (3,7)=26 Failed, w=54\",\"Find(4)=3, Find(7)=3, Add (4,7)=31 Failed, w=54\",\"Find(2)=3, Find(3)=3, Add (2,3)=36 Failed, w=54\",\"Find(1)=3, Find(4)=3, Add (1,4)=38 Failed, w=54\",\"Find(0)=0, Find(6)=3, Add (0,6)=39 Succeeded, w=93\",\"Find(2)=3, Find(5)=3, Add (2,5)=47 Failed, w=93\",\"Find(1)=3, Find(3)=3, Add (1,3)=53 Failed, w=93\",\"Find(2)=3, Find(4)=3, Add (2,4)=55 Failed, w=93\",\"Find(0)=3, Find(7)=3, Add (0,7)=58 Failed, w=93\",\"Find(5)=3, Find(6)=3, Add (5,6)=65 Failed, w=93\",\"Find(3)=3, Find(4)=3, Add (3,4)=66 Failed, w=93\",\"Find(1)=3, Find(7)=3, Add (1,7)=69 Failed, w=93\",\"Find(0)=3, Find(3)=3, Add (0,3)=71 Failed, w=93\",\"Find(4)=3, Find(6)=3, Add (4,6)=72 Failed, w=93\",\"Find(0)=3, Find(2)=3, Add (0,2)=76 Failed, w=93\",\"Find(1)=3, Find(6)=3, Add (1,6)=84 Failed, w=93\",\"Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=93\",\"Find(5)=3, Find(7)=3, Add (5,7)=85 Failed, w=93\",\"Find(0)=3, Find(5)=3, Add (0,5)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,76],[0,3,71],[0,4,85],[0,5,86],[0,6,39],[0,7,58],[1,2,12],[1,3,53],[1,4,38],[1,6,84],[1,7,69],[2,3,36],[2,4,55],[2,5,47],[2,6,11],[3,4,66],[3,5,3],[3,6,0],[3,7,26],[4,5,13],[4,6,72],[4,7,31],[5,6,65],[5,7,85],[6,7,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(3,5)=3,(2,6)=11,(1,2)=12,(4,5)=13,(6,7)=15,(3,7)=26,(4,7)=31,(2,3)=36,(1,4)=38,(0,6)=39,(2,5)=47,(1,3)=53,(2,4)=55,(0,7)=58,(5,6)=65,(3,4)=66,(1,7)=69,(0,3)=71,(4,6)=72,(0,2)=76,(1,6)=84,(0,4)=85,(5,7)=85,(0,5)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(2)=2, Find(6)=3, Add (2,6)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 7}, Find(1)=1, Find(2)=3, Add (1,2)=12 Succeeded, w=26\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 7}, Find(4)=4, Find(5)=3, Add (4,5)=13 Succeeded, w=39\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=7, Add (6,7)=15 Succeeded, w=54\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=26 Failed, w=54\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=31 Failed, w=54\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=36 Failed, w=54\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=38 Failed, w=54\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(6)=3, Add (0,6)=39 Succeeded, w=93\",\"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)=47 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=53 Failed, w=93\",\"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)=55 Failed, w=93\",\"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)=58 Failed, w=93\",\"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)=65 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=66 Failed, w=93\",\"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)=69 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=71 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=72 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=76 Failed, w=93\",\"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)=84 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=85 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=85 Failed, w=93\",\"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)=86 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,3],[0,4,56],[0,6,43],[0,7,64],[1,2,80],[1,3,99],[1,4,67],[1,5,6],[2,3,48],[2,4,62],[2,5,44],[2,6,74],[2,7,9],[3,4,96],[3,5,55],[3,6,28],[4,5,80],[4,6,43],[4,7,63],[5,6,94],[5,7,82],[6,7,50]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,3],[0,4,56],[0,6,43],[0,7,64],[1,2,80],[1,3,99],[1,4,67],[1,5,6],[2,3,48],[2,4,62],[2,5,44],[2,6,74],[2,7,9],[3,4,96],[3,5,55],[3,6,28],[4,5,80],[4,6,43],[4,7,63],[5,6,94],[5,7,82],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,3],[0,4,56],[0,6,43],[0,7,64],[1,2,80],[1,3,99],[1,4,67],[1,5,6],[2,3,48],[2,4,62],[2,5,44],[2,6,74],[2,7,9],[3,4,96],[3,5,55],[3,6,28],[4,5,80],[4,6,43],[4,7,63],[5,6,94],[5,7,82],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,5)\",\"Add (2,7)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (2,3)\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,3],[0,4,56],[0,6,43],[0,7,64],[1,2,80],[1,3,99],[1,4,67],[1,5,6],[2,3,48],[2,4,62],[2,5,44],[2,6,74],[2,7,9],[3,4,96],[3,5,55],[3,6,28],[4,5,80],[4,6,43],[4,7,63],[5,6,94],[5,7,82],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (1,5)=6, w=9\",\"Add (2,7)=9, w=18\",\"Add (3,6)=28, w=46\",\"Add (4,6)=43, w=89\",\"Add (2,5)=44, w=133\",\"Add (2,3)=48, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,3],[0,4,56],[0,6,43],[0,7,64],[1,2,80],[1,3,99],[1,4,67],[1,5,6],[2,3,48],[2,4,62],[2,5,44],[2,6,74],[2,7,9],[3,4,96],[3,5,55],[3,6,28],[4,5,80],[4,6,43],[4,7,63],[5,6,94],[5,7,82],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (1,5)=6 Succeeded, w=9\",\"Add (2,7)=9 Succeeded, w=18\",\"Add (3,6)=28 Succeeded, w=46\",\"Add (0,6)=43 Failed, w=46\",\"Add (4,6)=43 Succeeded, w=89\",\"Add (2,5)=44 Succeeded, w=133\",\"Add (2,3)=48 Succeeded, w=181\",\"Add (6,7)=50 Failed, w=181\",\"Add (3,5)=55 Failed, w=181\",\"Add (0,4)=56 Failed, w=181\",\"Add (2,4)=62 Failed, w=181\",\"Add (4,7)=63 Failed, w=181\",\"Add (0,7)=64 Failed, w=181\",\"Add (1,4)=67 Failed, w=181\",\"Add (2,6)=74 Failed, w=181\",\"Add (1,2)=80 Failed, w=181\",\"Add (4,5)=80 Failed, w=181\",\"Add (5,7)=82 Failed, w=181\",\"Add (5,6)=94 Failed, w=181\",\"Add (3,4)=96 Failed, w=181\",\"Add (1,3)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,3],[0,4,56],[0,6,43],[0,7,64],[1,2,80],[1,3,99],[1,4,67],[1,5,6],[2,3,48],[2,4,62],[2,5,44],[2,6,74],[2,7,9],[3,4,96],[3,5,55],[3,6,28],[4,5,80],[4,6,43],[4,7,63],[5,6,94],[5,7,82],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,5)=6,(2,7)=9,(3,6)=28,(0,6)=43,(4,6)=43,(2,5)=44,(2,3)=48,(6,7)=50,(3,5)=55,(0,4)=56,(2,4)=62,(4,7)=63,(0,7)=64,(1,4)=67,(2,6)=74,(1,2)=80,(4,5)=80,(5,7)=82,(5,6)=94,(3,4)=96,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Find(2)=2, Find(7)=7, Add (2,7)=9 Succeeded, w=18\",\"Find(3)=0, Find(6)=6, Add (3,6)=28 Succeeded, w=46\",\"Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=46\",\"Find(4)=4, Find(6)=0, Add (4,6)=43 Succeeded, w=89\",\"Find(2)=2, Find(5)=1, Add (2,5)=44 Succeeded, w=133\",\"Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=181\",\"Find(6)=2, Find(7)=2, Add (6,7)=50 Failed, w=181\",\"Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=181\",\"Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=181\",\"Find(2)=2, Find(4)=2, Add (2,4)=62 Failed, w=181\",\"Find(4)=2, Find(7)=2, Add (4,7)=63 Failed, w=181\",\"Find(0)=2, Find(7)=2, Add (0,7)=64 Failed, w=181\",\"Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=181\",\"Find(2)=2, Find(6)=2, Add (2,6)=74 Failed, w=181\",\"Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=181\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=181\",\"Find(5)=2, Find(7)=2, Add (5,7)=82 Failed, w=181\",\"Find(5)=2, Find(6)=2, Add (5,6)=94 Failed, w=181\",\"Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=181\",\"Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,3],[0,4,56],[0,6,43],[0,7,64],[1,2,80],[1,3,99],[1,4,67],[1,5,6],[2,3,48],[2,4,62],[2,5,44],[2,6,74],[2,7,9],[3,4,96],[3,5,55],[3,6,28],[4,5,80],[4,6,43],[4,7,63],[5,6,94],[5,7,82],[6,7,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(1,5)=6,(2,7)=9,(3,6)=28,(0,6)=43,(4,6)=43,(2,5)=44,(2,3)=48,(6,7)=50,(3,5)=55,(0,4)=56,(2,4)=62,(4,7)=63,(0,7)=64,(1,4)=67,(2,6)=74,(1,2)=80,(4,5)=80,(5,7)=82,(5,6)=94,(3,4)=96,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 0, 7: 2}, Find(3)=0, Find(6)=6, Add (3,6)=28 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1, 6: 0, 7: 2}, Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1, 6: 0, 7: 2}, Find(4)=4, Find(6)=0, Add (4,6)=43 Succeeded, w=89\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 0, 5: 1, 6: 0, 7: 2}, Find(2)=2, Find(5)=1, Add (2,5)=44 Succeeded, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 1, 6: 0, 7: 2}, Find(2)=2, Find(3)=0, Add (2,3)=48 Succeeded, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 0, 5: 1, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=50 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=181\",\"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)=56 Failed, w=181\",\"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)=62 Failed, w=181\",\"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)=63 Failed, w=181\",\"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)=64 Failed, w=181\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=181\",\"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)=74 Failed, w=181\",\"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)=80 Failed, w=181\",\"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)=80 Failed, w=181\",\"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)=82 Failed, w=181\",\"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)=94 Failed, w=181\",\"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)=96 Failed, w=181\",\"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)=99 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,13],[0,3,84],[0,4,85],[1,3,5],[1,4,84],[1,5,87],[2,3,25],[2,4,18],[2,5,39],[4,5,2]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,13],[0,3,84],[0,4,85],[1,3,5],[1,4,84],[1,5,87],[2,3,25],[2,4,18],[2,5,39],[4,5,2]]}",
"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],\"edges\":[[0,2,13],[0,3,84],[0,4,85],[1,3,5],[1,4,84],[1,5,87],[2,3,25],[2,4,18],[2,5,39],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,13],[0,3,84],[0,4,85],[1,3,5],[1,4,84],[1,5,87],[2,3,25],[2,4,18],[2,5,39],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (1,3)=5, w=7\",\"Add (0,2)=13, w=20\",\"Add (2,4)=18, w=38\",\"Add (2,3)=25, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,13],[0,3,84],[0,4,85],[1,3,5],[1,4,84],[1,5,87],[2,3,25],[2,4,18],[2,5,39],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (1,3)=5 Succeeded, w=7\",\"Add (0,2)=13 Succeeded, w=20\",\"Add (2,4)=18 Succeeded, w=38\",\"Add (2,3)=25 Succeeded, w=63\",\"Add (2,5)=39 Failed, w=63\",\"Add (0,3)=84 Failed, w=63\",\"Add (1,4)=84 Failed, w=63\",\"Add (0,4)=85 Failed, w=63\",\"Add (1,5)=87 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],\"edges\":[[0,2,13],[0,3,84],[0,4,85],[1,3,5],[1,4,84],[1,5,87],[2,3,25],[2,4,18],[2,5,39],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(1,3)=5,(0,2)=13,(2,4)=18,(2,3)=25,(2,5)=39,(0,3)=84,(1,4)=84,(0,4)=85,(1,5)=87]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=20\",\"Find(2)=0, Find(4)=4, Add (2,4)=18 Succeeded, w=38\",\"Find(2)=0, Find(3)=1, Add (2,3)=25 Succeeded, w=63\",\"Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=63\",\"Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=63\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=63\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=63\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 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],\"edges\":[[0,2,13],[0,3,84],[0,4,85],[1,3,5],[1,4,84],[1,5,87],[2,3,25],[2,4,18],[2,5,39],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(1,3)=5,(0,2)=13,(2,4)=18,(2,3)=25,(2,5)=39,(0,3)=84,(1,4)=84,(0,4)=85,(1,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 4}, Find(2)=0, Find(4)=4, Add (2,4)=18 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 4}, Find(2)=0, Find(3)=1, Add (2,3)=25 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=84 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,78],[0,2,34],[1,2,62],[2,3,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,34],[1,2,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,34],[1,2,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,34],[1,2,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=34, w=34\",\"Add (1,2)=62, w=96\",\"Add (2,3)=81, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,34],[1,2,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=34 Succeeded, w=34\",\"Add (1,2)=62 Succeeded, w=96\",\"Add (0,1)=78 Failed, w=96\",\"Add (2,3)=81 Succeeded, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,34],[1,2,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=34,(1,2)=62,(0,1)=78,(2,3)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=34\",\"Find(1)=1, Find(2)=0, Add (1,2)=62 Succeeded, w=96\",\"Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=96\",\"Find(2)=0, Find(3)=3, Add (2,3)=81 Succeeded, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,34],[1,2,62],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=34,(1,2)=62,(0,1)=78,(2,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=62 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=0, Add (0,1)=78 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=81 Succeeded, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,16],[0,4,17],[0,5,24],[0,6,71],[1,2,94],[1,3,15],[1,4,25],[1,5,33],[1,6,33],[2,4,0],[3,6,21],[4,5,53],[4,6,21],[5,6,45]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,16],[0,4,17],[0,5,24],[0,6,71],[1,2,94],[1,3,15],[1,4,25],[1,5,33],[1,6,33],[2,4,0],[3,6,21],[4,5,53],[4,6,21],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,16],[0,4,17],[0,5,24],[0,6,71],[1,2,94],[1,3,15],[1,4,25],[1,5,33],[1,6,33],[2,4,0],[3,6,21],[4,5,53],[4,6,21],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (3,6)\",\"Add (0,5)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,16],[0,4,17],[0,5,24],[0,6,71],[1,2,94],[1,3,15],[1,4,25],[1,5,33],[1,6,33],[2,4,0],[3,6,21],[4,5,53],[4,6,21],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (1,3)=15, w=15\",\"Add (0,3)=16, w=31\",\"Add (0,4)=17, w=48\",\"Add (3,6)=21, w=69\",\"Add (0,5)=24, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,16],[0,4,17],[0,5,24],[0,6,71],[1,2,94],[1,3,15],[1,4,25],[1,5,33],[1,6,33],[2,4,0],[3,6,21],[4,5,53],[4,6,21],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (1,3)=15 Succeeded, w=15\",\"Add (0,3)=16 Succeeded, w=31\",\"Add (0,4)=17 Succeeded, w=48\",\"Add (3,6)=21 Succeeded, w=69\",\"Add (4,6)=21 Failed, w=69\",\"Add (0,5)=24 Succeeded, w=93\",\"Add (1,4)=25 Failed, w=93\",\"Add (1,5)=33 Failed, w=93\",\"Add (1,6)=33 Failed, w=93\",\"Add (5,6)=45 Failed, w=93\",\"Add (4,5)=53 Failed, w=93\",\"Add (0,6)=71 Failed, w=93\",\"Add (1,2)=94 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,16],[0,4,17],[0,5,24],[0,6,71],[1,2,94],[1,3,15],[1,4,25],[1,5,33],[1,6,33],[2,4,0],[3,6,21],[4,5,53],[4,6,21],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,3)=15,(0,3)=16,(0,4)=17,(3,6)=21,(4,6)=21,(0,5)=24,(1,4)=25,(1,5)=33,(1,6)=33,(5,6)=45,(4,5)=53,(0,6)=71,(1,2)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=31\",\"Find(0)=1, Find(4)=2, Add (0,4)=17 Succeeded, w=48\",\"Find(3)=1, Find(6)=6, Add (3,6)=21 Succeeded, w=69\",\"Find(4)=1, Find(6)=1, Add (4,6)=21 Failed, w=69\",\"Find(0)=1, Find(5)=5, Add (0,5)=24 Succeeded, w=93\",\"Find(1)=1, Find(4)=1, Add (1,4)=25 Failed, w=93\",\"Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=93\",\"Find(1)=1, Find(6)=1, Add (1,6)=33 Failed, w=93\",\"Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=93\",\"Find(4)=1, Find(5)=1, Add (4,5)=53 Failed, w=93\",\"Find(0)=1, Find(6)=1, Add (0,6)=71 Failed, w=93\",\"Find(1)=1, Find(2)=1, Add (1,2)=94 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,16],[0,4,17],[0,5,24],[0,6,71],[1,2,94],[1,3,15],[1,4,25],[1,5,33],[1,6,33],[2,4,0],[3,6,21],[4,5,53],[4,6,21],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,3)=15,(0,3)=16,(0,4)=17,(3,6)=21,(4,6)=21,(0,5)=24,(1,4)=25,(1,5)=33,(1,6)=33,(5,6)=45,(4,5)=53,(0,6)=71,(1,2)=94]\",\"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: 1, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 6}, Find(0)=1, Find(4)=2, Add (0,4)=17 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=21 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=21 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=5, Add (0,5)=24 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=25 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=33 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=45 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=53 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=71 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=94 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,9],[0,3,88],[0,7,75],[1,2,71],[1,6,31],[1,7,17],[2,3,80],[2,6,36],[2,7,49],[3,4,71],[3,7,3],[4,5,72],[4,7,36],[6,7,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,88],[0,7,75],[1,2,71],[1,6,31],[1,7,17],[2,3,80],[2,6,36],[2,7,49],[3,4,71],[3,7,3],[4,5,72],[4,7,36],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,88],[0,7,75],[1,2,71],[1,6,31],[1,7,17],[2,3,80],[2,6,36],[2,7,49],[3,4,71],[3,7,3],[4,5,72],[4,7,36],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,1)\",\"Add (1,7)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (4,7)\",\"Add (4,5)\"],\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,88],[0,7,75],[1,2,71],[1,6,31],[1,7,17],[2,3,80],[2,6,36],[2,7,49],[3,4,71],[3,7,3],[4,5,72],[4,7,36],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=3, w=3\",\"Add (0,1)=9, w=12\",\"Add (1,7)=17, w=29\",\"Add (1,6)=31, w=60\",\"Add (2,6)=36, w=96\",\"Add (4,7)=36, w=132\",\"Add (4,5)=72, w=204\"],\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,88],[0,7,75],[1,2,71],[1,6,31],[1,7,17],[2,3,80],[2,6,36],[2,7,49],[3,4,71],[3,7,3],[4,5,72],[4,7,36],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=3 Succeeded, w=3\",\"Add (0,1)=9 Succeeded, w=12\",\"Add (1,7)=17 Succeeded, w=29\",\"Add (1,6)=31 Succeeded, w=60\",\"Add (6,7)=35 Failed, w=60\",\"Add (2,6)=36 Succeeded, w=96\",\"Add (4,7)=36 Succeeded, w=132\",\"Add (2,7)=49 Failed, w=132\",\"Add (1,2)=71 Failed, w=132\",\"Add (3,4)=71 Failed, w=132\",\"Add (4,5)=72 Succeeded, w=204\",\"Add (0,7)=75 Failed, w=204\",\"Add (2,3)=80 Failed, w=204\",\"Add (0,3)=88 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,88],[0,7,75],[1,2,71],[1,6,31],[1,7,17],[2,3,80],[2,6,36],[2,7,49],[3,4,71],[3,7,3],[4,5,72],[4,7,36],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=3,(0,1)=9,(1,7)=17,(1,6)=31,(6,7)=35,(2,6)=36,(4,7)=36,(2,7)=49,(1,2)=71,(3,4)=71,(4,5)=72,(0,7)=75,(2,3)=80,(0,3)=88]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=12\",\"Find(1)=0, Find(7)=3, Add (1,7)=17 Succeeded, w=29\",\"Find(1)=0, Find(6)=6, Add (1,6)=31 Succeeded, w=60\",\"Find(6)=0, Find(7)=0, Add (6,7)=35 Failed, w=60\",\"Find(2)=2, Find(6)=0, Add (2,6)=36 Succeeded, w=96\",\"Find(4)=4, Find(7)=0, Add (4,7)=36 Succeeded, w=132\",\"Find(2)=0, Find(7)=0, Add (2,7)=49 Failed, w=132\",\"Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=132\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=132\",\"Find(4)=0, Find(5)=5, Add (4,5)=72 Succeeded, w=204\",\"Find(0)=0, Find(7)=0, Add (0,7)=75 Failed, w=204\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=204\",\"Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,9],[0,3,88],[0,7,75],[1,2,71],[1,6,31],[1,7,17],[2,3,80],[2,6,36],[2,7,49],[3,4,71],[3,7,3],[4,5,72],[4,7,36],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=3,(0,1)=9,(1,7)=17,(1,6)=31,(6,7)=35,(2,6)=36,(4,7)=36,(2,7)=49,(1,2)=71,(3,4)=71,(4,5)=72,(0,7)=75,(2,3)=80,(0,3)=88]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 3}, Find(1)=0, Find(7)=3, Add (1,7)=17 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 3}, Find(1)=0, Find(6)=6, Add (1,6)=31 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=35 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(6)=0, Add (2,6)=36 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=36 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=49 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=71 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=5, Add (4,5)=72 Succeeded, w=204\",\"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)=75 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=88 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,19],[0,2,82],[0,3,62],[0,4,89],[0,5,49],[0,6,99],[0,7,67],[1,2,62],[1,3,47],[1,4,8],[1,5,77],[1,6,56],[1,7,54],[2,3,86],[2,4,58],[2,5,94],[2,7,35],[3,4,69],[3,5,16],[3,6,36],[3,7,11],[4,5,28],[4,6,76],[4,7,94],[5,6,19],[5,7,38],[6,7,16]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,19],[0,2,82],[0,3,62],[0,4,89],[0,5,49],[0,6,99],[0,7,67],[1,2,62],[1,3,47],[1,4,8],[1,5,77],[1,6,56],[1,7,54],[2,3,86],[2,4,58],[2,5,94],[2,7,35],[3,4,69],[3,5,16],[3,6,36],[3,7,11],[4,5,28],[4,6,76],[4,7,94],[5,6,19],[5,7,38],[6,7,16]]}",
"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\":[[0,1,19],[0,2,82],[0,3,62],[0,4,89],[0,5,49],[0,6,99],[0,7,67],[1,2,62],[1,3,47],[1,4,8],[1,5,77],[1,6,56],[1,7,54],[2,3,86],[2,4,58],[2,5,94],[2,7,35],[3,4,69],[3,5,16],[3,6,36],[3,7,11],[4,5,28],[4,6,76],[4,7,94],[5,6,19],[5,7,38],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,7)\",\"Add (3,5)\",\"Add (6,7)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (2,7)\"],\"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\":[[0,1,19],[0,2,82],[0,3,62],[0,4,89],[0,5,49],[0,6,99],[0,7,67],[1,2,62],[1,3,47],[1,4,8],[1,5,77],[1,6,56],[1,7,54],[2,3,86],[2,4,58],[2,5,94],[2,7,35],[3,4,69],[3,5,16],[3,6,36],[3,7,11],[4,5,28],[4,6,76],[4,7,94],[5,6,19],[5,7,38],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8, w=8\",\"Add (3,7)=11, w=19\",\"Add (3,5)=16, w=35\",\"Add (6,7)=16, w=51\",\"Add (0,1)=19, w=70\",\"Add (4,5)=28, w=98\",\"Add (2,7)=35, 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\":[[0,1,19],[0,2,82],[0,3,62],[0,4,89],[0,5,49],[0,6,99],[0,7,67],[1,2,62],[1,3,47],[1,4,8],[1,5,77],[1,6,56],[1,7,54],[2,3,86],[2,4,58],[2,5,94],[2,7,35],[3,4,69],[3,5,16],[3,6,36],[3,7,11],[4,5,28],[4,6,76],[4,7,94],[5,6,19],[5,7,38],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=8 Succeeded, w=8\",\"Add (3,7)=11 Succeeded, w=19\",\"Add (3,5)=16 Succeeded, w=35\",\"Add (6,7)=16 Succeeded, w=51\",\"Add (0,1)=19 Succeeded, w=70\",\"Add (5,6)=19 Failed, w=70\",\"Add (4,5)=28 Succeeded, w=98\",\"Add (2,7)=35 Succeeded, w=133\",\"Add (3,6)=36 Failed, w=133\",\"Add (5,7)=38 Failed, w=133\",\"Add (1,3)=47 Failed, w=133\",\"Add (0,5)=49 Failed, w=133\",\"Add (1,7)=54 Failed, w=133\",\"Add (1,6)=56 Failed, w=133\",\"Add (2,4)=58 Failed, w=133\",\"Add (0,3)=62 Failed, w=133\",\"Add (1,2)=62 Failed, w=133\",\"Add (0,7)=67 Failed, w=133\",\"Add (3,4)=69 Failed, w=133\",\"Add (4,6)=76 Failed, w=133\",\"Add (1,5)=77 Failed, w=133\",\"Add (0,2)=82 Failed, w=133\",\"Add (2,3)=86 Failed, w=133\",\"Add (0,4)=89 Failed, w=133\",\"Add (2,5)=94 Failed, w=133\",\"Add (4,7)=94 Failed, w=133\",\"Add (0,6)=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\":[[0,1,19],[0,2,82],[0,3,62],[0,4,89],[0,5,49],[0,6,99],[0,7,67],[1,2,62],[1,3,47],[1,4,8],[1,5,77],[1,6,56],[1,7,54],[2,3,86],[2,4,58],[2,5,94],[2,7,35],[3,4,69],[3,5,16],[3,6,36],[3,7,11],[4,5,28],[4,6,76],[4,7,94],[5,6,19],[5,7,38],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(3,7)=11,(3,5)=16,(6,7)=16,(0,1)=19,(5,6)=19,(4,5)=28,(2,7)=35,(3,6)=36,(5,7)=38,(1,3)=47,(0,5)=49,(1,7)=54,(1,6)=56,(2,4)=58,(0,3)=62,(1,2)=62,(0,7)=67,(3,4)=69,(4,6)=76,(1,5)=77,(0,2)=82,(2,3)=86,(0,4)=89,(2,5)=94,(4,7)=94,(0,6)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Find(3)=3, Find(7)=7, Add (3,7)=11 Succeeded, w=19\",\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=35\",\"Find(6)=6, Find(7)=3, Add (6,7)=16 Succeeded, w=51\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=70\",\"Find(5)=3, Find(6)=3, Add (5,6)=19 Failed, w=70\",\"Find(4)=1, Find(5)=3, Add (4,5)=28 Succeeded, w=98\",\"Find(2)=2, Find(7)=1, Add (2,7)=35 Succeeded, w=133\",\"Find(3)=1, Find(6)=1, Add (3,6)=36 Failed, w=133\",\"Find(5)=1, Find(7)=1, Add (5,7)=38 Failed, w=133\",\"Find(1)=1, Find(3)=1, Add (1,3)=47 Failed, w=133\",\"Find(0)=1, Find(5)=1, Add (0,5)=49 Failed, w=133\",\"Find(1)=1, Find(7)=1, Add (1,7)=54 Failed, w=133\",\"Find(1)=1, Find(6)=1, Add (1,6)=56 Failed, w=133\",\"Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=133\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=133\",\"Find(1)=1, Find(2)=1, Add (1,2)=62 Failed, w=133\",\"Find(0)=1, Find(7)=1, Add (0,7)=67 Failed, w=133\",\"Find(3)=1, Find(4)=1, Add (3,4)=69 Failed, w=133\",\"Find(4)=1, Find(6)=1, Add (4,6)=76 Failed, w=133\",\"Find(1)=1, Find(5)=1, Add (1,5)=77 Failed, w=133\",\"Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=133\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=133\",\"Find(0)=1, Find(4)=1, Add (0,4)=89 Failed, w=133\",\"Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=133\",\"Find(4)=1, Find(7)=1, Add (4,7)=94 Failed, w=133\",\"Find(0)=1, Find(6)=1, Add (0,6)=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\":[[0,1,19],[0,2,82],[0,3,62],[0,4,89],[0,5,49],[0,6,99],[0,7,67],[1,2,62],[1,3,47],[1,4,8],[1,5,77],[1,6,56],[1,7,54],[2,3,86],[2,4,58],[2,5,94],[2,7,35],[3,4,69],[3,5,16],[3,6,36],[3,7,11],[4,5,28],[4,6,76],[4,7,94],[5,6,19],[5,7,38],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=8,(3,7)=11,(3,5)=16,(6,7)=16,(0,1)=19,(5,6)=19,(4,5)=28,(2,7)=35,(3,6)=36,(5,7)=38,(1,3)=47,(0,5)=49,(1,7)=54,(1,6)=56,(2,4)=58,(0,3)=62,(1,2)=62,(0,7)=67,(3,4)=69,(4,6)=76,(1,5)=77,(0,2)=82,(2,3)=86,(0,4)=89,(2,5)=94,(4,7)=94,(0,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(6)=6, Find(7)=3, Add (6,7)=16 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=19 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 3, 7: 3}, Find(4)=1, Find(5)=3, Add (4,5)=28 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 3, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=35 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=36 Failed, w=133\",\"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)=38 Failed, w=133\",\"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)=47 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=49 Failed, w=133\",\"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)=54 Failed, w=133\",\"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)=56 Failed, w=133\",\"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)=58 Failed, w=133\",\"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)=62 Failed, w=133\",\"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)=62 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=67 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=69 Failed, w=133\",\"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)=76 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=77 Failed, w=133\",\"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)=82 Failed, w=133\",\"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)=86 Failed, w=133\",\"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=133\",\"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)=94 Failed, w=133\",\"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=133\",\"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)=99 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,29],[0,2,51],[0,3,87],[2,3,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,51],[0,3,87],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,51],[0,3,87],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,51],[0,3,87],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=29, w=29\",\"Add (0,2)=51, w=80\",\"Add (2,3)=64, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,51],[0,3,87],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=29 Succeeded, w=29\",\"Add (0,2)=51 Succeeded, w=80\",\"Add (2,3)=64 Succeeded, w=144\",\"Add (0,3)=87 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,51],[0,3,87],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=29,(0,2)=51,(2,3)=64,(0,3)=87]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=80\",\"Find(2)=0, Find(3)=3, Add (2,3)=64 Succeeded, w=144\",\"Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,29],[0,2,51],[0,3,87],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=29,(0,2)=51,(2,3)=64,(0,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=64 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=87 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,44],[0,2,96],[0,3,78],[0,4,35],[0,5,21],[0,6,1],[1,2,51],[1,3,46],[1,4,13],[1,6,90],[2,3,91],[2,4,31],[2,5,79],[2,6,75],[3,4,96],[3,5,50],[3,6,41],[4,5,10],[4,6,7],[5,6,17]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,96],[0,3,78],[0,4,35],[0,5,21],[0,6,1],[1,2,51],[1,3,46],[1,4,13],[1,6,90],[2,3,91],[2,4,31],[2,5,79],[2,6,75],[3,4,96],[3,5,50],[3,6,41],[4,5,10],[4,6,7],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,96],[0,3,78],[0,4,35],[0,5,21],[0,6,1],[1,2,51],[1,3,46],[1,4,13],[1,6,90],[2,3,91],[2,4,31],[2,5,79],[2,6,75],[3,4,96],[3,5,50],[3,6,41],[4,5,10],[4,6,7],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (3,6)\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,96],[0,3,78],[0,4,35],[0,5,21],[0,6,1],[1,2,51],[1,3,46],[1,4,13],[1,6,90],[2,3,91],[2,4,31],[2,5,79],[2,6,75],[3,4,96],[3,5,50],[3,6,41],[4,5,10],[4,6,7],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (4,6)=7, w=8\",\"Add (4,5)=10, w=18\",\"Add (1,4)=13, w=31\",\"Add (2,4)=31, w=62\",\"Add (3,6)=41, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,96],[0,3,78],[0,4,35],[0,5,21],[0,6,1],[1,2,51],[1,3,46],[1,4,13],[1,6,90],[2,3,91],[2,4,31],[2,5,79],[2,6,75],[3,4,96],[3,5,50],[3,6,41],[4,5,10],[4,6,7],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (4,6)=7 Succeeded, w=8\",\"Add (4,5)=10 Succeeded, w=18\",\"Add (1,4)=13 Succeeded, w=31\",\"Add (5,6)=17 Failed, w=31\",\"Add (0,5)=21 Failed, w=31\",\"Add (2,4)=31 Succeeded, w=62\",\"Add (0,4)=35 Failed, w=62\",\"Add (3,6)=41 Succeeded, w=103\",\"Add (0,1)=44 Failed, w=103\",\"Add (1,3)=46 Failed, w=103\",\"Add (3,5)=50 Failed, w=103\",\"Add (1,2)=51 Failed, w=103\",\"Add (2,6)=75 Failed, w=103\",\"Add (0,3)=78 Failed, w=103\",\"Add (2,5)=79 Failed, w=103\",\"Add (1,6)=90 Failed, w=103\",\"Add (2,3)=91 Failed, w=103\",\"Add (0,2)=96 Failed, w=103\",\"Add (3,4)=96 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,96],[0,3,78],[0,4,35],[0,5,21],[0,6,1],[1,2,51],[1,3,46],[1,4,13],[1,6,90],[2,3,91],[2,4,31],[2,5,79],[2,6,75],[3,4,96],[3,5,50],[3,6,41],[4,5,10],[4,6,7],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(4,6)=7,(4,5)=10,(1,4)=13,(5,6)=17,(0,5)=21,(2,4)=31,(0,4)=35,(3,6)=41,(0,1)=44,(1,3)=46,(3,5)=50,(1,2)=51,(2,6)=75,(0,3)=78,(2,5)=79,(1,6)=90,(2,3)=91,(0,2)=96,(3,4)=96]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=0, Add (4,6)=7 Succeeded, w=8\",\"Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=31\",\"Find(5)=0, Find(6)=0, Add (5,6)=17 Failed, w=31\",\"Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=31\",\"Find(2)=2, Find(4)=0, Add (2,4)=31 Succeeded, w=62\",\"Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=62\",\"Find(3)=3, Find(6)=0, Add (3,6)=41 Succeeded, w=103\",\"Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=103\",\"Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=103\",\"Find(3)=0, Find(5)=0, Add (3,5)=50 Failed, w=103\",\"Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=103\",\"Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=103\",\"Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=103\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=103\",\"Find(1)=0, Find(6)=0, Add (1,6)=90 Failed, w=103\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=103\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=103\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,44],[0,2,96],[0,3,78],[0,4,35],[0,5,21],[0,6,1],[1,2,51],[1,3,46],[1,4,13],[1,6,90],[2,3,91],[2,4,31],[2,5,79],[2,6,75],[3,4,96],[3,5,50],[3,6,41],[4,5,10],[4,6,7],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(4,6)=7,(4,5)=10,(1,4)=13,(5,6)=17,(0,5)=21,(2,4)=31,(0,4)=35,(3,6)=41,(0,1)=44,(1,3)=46,(3,5)=50,(1,2)=51,(2,6)=75,(0,3)=78,(2,5)=79,(1,6)=90,(2,3)=91,(0,2)=96,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=17 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=31 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=41 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=50 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=78 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=90 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=103\",\"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=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,86],[0,2,50],[0,4,97],[0,5,67],[0,6,50],[1,2,10],[1,3,2],[1,4,9],[1,5,44],[1,6,73],[1,7,45],[2,3,14],[2,4,11],[2,5,59],[2,6,39],[2,7,44],[3,4,70],[3,5,40],[3,6,24],[4,5,38],[4,6,51],[4,7,30],[5,6,31],[5,7,12],[6,7,87]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,50],[0,4,97],[0,5,67],[0,6,50],[1,2,10],[1,3,2],[1,4,9],[1,5,44],[1,6,73],[1,7,45],[2,3,14],[2,4,11],[2,5,59],[2,6,39],[2,7,44],[3,4,70],[3,5,40],[3,6,24],[4,5,38],[4,6,51],[4,7,30],[5,6,31],[5,7,12],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,50],[0,4,97],[0,5,67],[0,6,50],[1,2,10],[1,3,2],[1,4,9],[1,5,44],[1,6,73],[1,7,45],[2,3,14],[2,4,11],[2,5,59],[2,6,39],[2,7,44],[3,4,70],[3,5,40],[3,6,24],[4,5,38],[4,6,51],[4,7,30],[5,6,31],[5,7,12],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (5,7)\",\"Add (3,6)\",\"Add (4,7)\",\"Add (0,2)\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,50],[0,4,97],[0,5,67],[0,6,50],[1,2,10],[1,3,2],[1,4,9],[1,5,44],[1,6,73],[1,7,45],[2,3,14],[2,4,11],[2,5,59],[2,6,39],[2,7,44],[3,4,70],[3,5,40],[3,6,24],[4,5,38],[4,6,51],[4,7,30],[5,6,31],[5,7,12],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (1,4)=9, w=11\",\"Add (1,2)=10, w=21\",\"Add (5,7)=12, w=33\",\"Add (3,6)=24, w=57\",\"Add (4,7)=30, w=87\",\"Add (0,2)=50, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,50],[0,4,97],[0,5,67],[0,6,50],[1,2,10],[1,3,2],[1,4,9],[1,5,44],[1,6,73],[1,7,45],[2,3,14],[2,4,11],[2,5,59],[2,6,39],[2,7,44],[3,4,70],[3,5,40],[3,6,24],[4,5,38],[4,6,51],[4,7,30],[5,6,31],[5,7,12],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (1,4)=9 Succeeded, w=11\",\"Add (1,2)=10 Succeeded, w=21\",\"Add (2,4)=11 Failed, w=21\",\"Add (5,7)=12 Succeeded, w=33\",\"Add (2,3)=14 Failed, w=33\",\"Add (3,6)=24 Succeeded, w=57\",\"Add (4,7)=30 Succeeded, w=87\",\"Add (5,6)=31 Failed, w=87\",\"Add (4,5)=38 Failed, w=87\",\"Add (2,6)=39 Failed, w=87\",\"Add (3,5)=40 Failed, w=87\",\"Add (1,5)=44 Failed, w=87\",\"Add (2,7)=44 Failed, w=87\",\"Add (1,7)=45 Failed, w=87\",\"Add (0,2)=50 Succeeded, w=137\",\"Add (0,6)=50 Failed, w=137\",\"Add (4,6)=51 Failed, w=137\",\"Add (2,5)=59 Failed, w=137\",\"Add (0,5)=67 Failed, w=137\",\"Add (3,4)=70 Failed, w=137\",\"Add (1,6)=73 Failed, w=137\",\"Add (0,1)=86 Failed, w=137\",\"Add (6,7)=87 Failed, w=137\",\"Add (0,4)=97 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,50],[0,4,97],[0,5,67],[0,6,50],[1,2,10],[1,3,2],[1,4,9],[1,5,44],[1,6,73],[1,7,45],[2,3,14],[2,4,11],[2,5,59],[2,6,39],[2,7,44],[3,4,70],[3,5,40],[3,6,24],[4,5,38],[4,6,51],[4,7,30],[5,6,31],[5,7,12],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,4)=9,(1,2)=10,(2,4)=11,(5,7)=12,(2,3)=14,(3,6)=24,(4,7)=30,(5,6)=31,(4,5)=38,(2,6)=39,(3,5)=40,(1,5)=44,(2,7)=44,(1,7)=45,(0,2)=50,(0,6)=50,(4,6)=51,(2,5)=59,(0,5)=67,(3,4)=70,(1,6)=73,(0,1)=86,(6,7)=87,(0,4)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=21\",\"Find(2)=1, Find(4)=1, Add (2,4)=11 Failed, w=21\",\"Find(5)=5, Find(7)=7, Add (5,7)=12 Succeeded, w=33\",\"Find(2)=1, Find(3)=1, Add (2,3)=14 Failed, w=33\",\"Find(3)=1, Find(6)=6, Add (3,6)=24 Succeeded, w=57\",\"Find(4)=1, Find(7)=5, Add (4,7)=30 Succeeded, w=87\",\"Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=87\",\"Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=87\",\"Find(2)=1, Find(6)=1, Add (2,6)=39 Failed, w=87\",\"Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=87\",\"Find(1)=1, Find(5)=1, Add (1,5)=44 Failed, w=87\",\"Find(2)=1, Find(7)=1, Add (2,7)=44 Failed, w=87\",\"Find(1)=1, Find(7)=1, Add (1,7)=45 Failed, w=87\",\"Find(0)=0, Find(2)=1, Add (0,2)=50 Succeeded, w=137\",\"Find(0)=1, Find(6)=1, Add (0,6)=50 Failed, w=137\",\"Find(4)=1, Find(6)=1, Add (4,6)=51 Failed, w=137\",\"Find(2)=1, Find(5)=1, Add (2,5)=59 Failed, w=137\",\"Find(0)=1, Find(5)=1, Add (0,5)=67 Failed, w=137\",\"Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=137\",\"Find(1)=1, Find(6)=1, Add (1,6)=73 Failed, w=137\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=137\",\"Find(6)=1, Find(7)=1, Add (6,7)=87 Failed, w=137\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,86],[0,2,50],[0,4,97],[0,5,67],[0,6,50],[1,2,10],[1,3,2],[1,4,9],[1,5,44],[1,6,73],[1,7,45],[2,3,14],[2,4,11],[2,5,59],[2,6,39],[2,7,44],[3,4,70],[3,5,40],[3,6,24],[4,5,38],[4,6,51],[4,7,30],[5,6,31],[5,7,12],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(1,4)=9,(1,2)=10,(2,4)=11,(5,7)=12,(2,3)=14,(3,6)=24,(4,7)=30,(5,6)=31,(4,5)=38,(2,6)=39,(3,5)=40,(1,5)=44,(2,7)=44,(1,7)=45,(0,2)=50,(0,6)=50,(4,6)=51,(2,5)=59,(0,5)=67,(3,4)=70,(1,6)=73,(0,1)=86,(6,7)=87,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(2)=1, Find(4)=1, Add (2,4)=11 Failed, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=12 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(2)=1, Find(3)=1, Add (2,3)=14 Failed, w=33\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 5}, Find(3)=1, Find(6)=6, Add (3,6)=24 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(4)=1, Find(7)=5, Add (4,7)=30 Succeeded, w=87\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=87\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=87\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(6)=1, Add (2,6)=39 Failed, w=87\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(3)=1, Find(5)=1, Add (3,5)=40 Failed, w=87\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(5)=1, Add (1,5)=44 Failed, w=87\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=44 Failed, w=87\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=45 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(2)=1, Add (0,2)=50 Succeeded, w=137\",\"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)=50 Failed, w=137\",\"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)=51 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=59 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=67 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=73 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=137\",\"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)=87 Failed, w=137\",\"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)=97 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,11],[0,4,34],[1,2,38],[1,3,86],[1,4,10],[1,5,24],[2,3,22],[2,4,5],[2,5,0],[3,5,81],[4,5,76]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,11],[0,4,34],[1,2,38],[1,3,86],[1,4,10],[1,5,24],[2,3,22],[2,4,5],[2,5,0],[3,5,81],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,11],[0,4,34],[1,2,38],[1,3,86],[1,4,10],[1,5,24],[2,3,22],[2,4,5],[2,5,0],[3,5,81],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,11],[0,4,34],[1,2,38],[1,3,86],[1,4,10],[1,5,24],[2,3,22],[2,4,5],[2,5,0],[3,5,81],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (2,4)=5, w=5\",\"Add (1,4)=10, w=15\",\"Add (0,2)=11, w=26\",\"Add (2,3)=22, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,11],[0,4,34],[1,2,38],[1,3,86],[1,4,10],[1,5,24],[2,3,22],[2,4,5],[2,5,0],[3,5,81],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (2,4)=5 Succeeded, w=5\",\"Add (1,4)=10 Succeeded, w=15\",\"Add (0,2)=11 Succeeded, w=26\",\"Add (2,3)=22 Succeeded, w=48\",\"Add (1,5)=24 Failed, w=48\",\"Add (0,4)=34 Failed, w=48\",\"Add (1,2)=38 Failed, w=48\",\"Add (0,1)=41 Failed, w=48\",\"Add (4,5)=76 Failed, w=48\",\"Add (3,5)=81 Failed, w=48\",\"Add (1,3)=86 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,11],[0,4,34],[1,2,38],[1,3,86],[1,4,10],[1,5,24],[2,3,22],[2,4,5],[2,5,0],[3,5,81],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(2,4)=5,(1,4)=10,(0,2)=11,(2,3)=22,(1,5)=24,(0,4)=34,(1,2)=38,(0,1)=41,(4,5)=76,(3,5)=81,(1,3)=86]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=2, Add (1,4)=10 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=48\",\"Find(1)=2, Find(5)=2, Add (1,5)=24 Failed, w=48\",\"Find(0)=2, Find(4)=2, Add (0,4)=34 Failed, w=48\",\"Find(1)=2, Find(2)=2, Add (1,2)=38 Failed, w=48\",\"Find(0)=2, Find(1)=2, Add (0,1)=41 Failed, w=48\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=48\",\"Find(3)=2, Find(5)=2, Add (3,5)=81 Failed, w=48\",\"Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,11],[0,4,34],[1,2,38],[1,3,86],[1,4,10],[1,5,24],[2,3,22],[2,4,5],[2,5,0],[3,5,81],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(2,4)=5,(1,4)=10,(0,2)=11,(2,3)=22,(1,5)=24,(0,4)=34,(1,2)=38,(0,1)=41,(4,5)=76,(3,5)=81,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=10 Succeeded, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=24 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=34 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=38 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=41 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=48\",\"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=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=86 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,48],[0,4,38],[1,2,72],[2,4,96],[2,5,69],[3,4,74],[3,5,16]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,38],[1,2,72],[2,4,96],[2,5,69],[3,4,74],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,38],[1,2,72],[2,4,96],[2,5,69],[3,4,74],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (1,2)\"],\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,38],[1,2,72],[2,4,96],[2,5,69],[3,4,74],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16, w=16\",\"Add (0,4)=38, w=54\",\"Add (0,2)=48, w=102\",\"Add (2,5)=69, w=171\",\"Add (1,2)=72, w=243\"],\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,38],[1,2,72],[2,4,96],[2,5,69],[3,4,74],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16 Succeeded, w=16\",\"Add (0,4)=38 Succeeded, w=54\",\"Add (0,2)=48 Succeeded, w=102\",\"Add (2,5)=69 Succeeded, w=171\",\"Add (1,2)=72 Succeeded, w=243\",\"Add (3,4)=74 Failed, w=243\",\"Add (2,4)=96 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,38],[1,2,72],[2,4,96],[2,5,69],[3,4,74],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(0,4)=38,(0,2)=48,(2,5)=69,(1,2)=72,(3,4)=74,(2,4)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=16\",\"Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=54\",\"Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=102\",\"Find(2)=0, Find(5)=3, Add (2,5)=69 Succeeded, w=171\",\"Find(1)=1, Find(2)=0, Add (1,2)=72 Succeeded, w=243\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=243\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,48],[0,4,38],[1,2,72],[2,4,96],[2,5,69],[3,4,74],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(0,4)=38,(0,2)=48,(2,5)=69,(1,2)=72,(3,4)=74,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=38 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=48 Succeeded, w=102\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(5)=3, Add (2,5)=69 Succeeded, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=1, Find(2)=0, Add (1,2)=72 Succeeded, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=243\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=243\"],\"Answer\":243}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,71],[0,2,98],[0,4,39],[0,5,13],[2,4,65],[2,5,100],[3,4,41],[3,5,74],[4,5,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,98],[0,4,39],[0,5,13],[2,4,65],[2,5,100],[3,4,41],[3,5,74],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":229}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,98],[0,4,39],[0,5,13],[2,4,65],[2,5,100],[3,4,41],[3,5,74],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":229}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,98],[0,4,39],[0,5,13],[2,4,65],[2,5,100],[3,4,41],[3,5,74],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=13, w=13\",\"Add (0,4)=39, w=52\",\"Add (3,4)=41, w=93\",\"Add (2,4)=65, w=158\",\"Add (0,1)=71, w=229\"],\"Answer\":229}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,98],[0,4,39],[0,5,13],[2,4,65],[2,5,100],[3,4,41],[3,5,74],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=13 Succeeded, w=13\",\"Add (0,4)=39 Succeeded, w=52\",\"Add (3,4)=41 Succeeded, w=93\",\"Add (4,5)=62 Failed, w=93\",\"Add (2,4)=65 Succeeded, w=158\",\"Add (0,1)=71 Succeeded, w=229\",\"Add (3,5)=74 Failed, w=229\",\"Add (0,2)=98 Failed, w=229\",\"Add (2,5)=100 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,98],[0,4,39],[0,5,13],[2,4,65],[2,5,100],[3,4,41],[3,5,74],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=13,(0,4)=39,(3,4)=41,(4,5)=62,(2,4)=65,(0,1)=71,(3,5)=74,(0,2)=98,(2,5)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=39 Succeeded, w=52\",\"Find(3)=3, Find(4)=0, Add (3,4)=41 Succeeded, w=93\",\"Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=93\",\"Find(2)=2, Find(4)=0, Add (2,4)=65 Succeeded, w=158\",\"Find(0)=0, Find(1)=1, Add (0,1)=71 Succeeded, w=229\",\"Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=229\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=229\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,98],[0,4,39],[0,5,13],[2,4,65],[2,5,100],[3,4,41],[3,5,74],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=13,(0,4)=39,(3,4)=41,(4,5)=62,(2,4)=65,(0,1)=71,(3,5)=74,(0,2)=98,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=39 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=41 Succeeded, w=93\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=93\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=65 Succeeded, w=158\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=71 Succeeded, w=229\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=229\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=229\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,60],[0,3,83],[1,2,62],[1,3,17]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,83],[1,2,62],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,83],[1,2,62],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,83],[1,2,62],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=17, w=17\",\"Add (0,2)=60, w=77\",\"Add (1,2)=62, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,83],[1,2,62],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=17 Succeeded, w=17\",\"Add (0,2)=60 Succeeded, w=77\",\"Add (1,2)=62 Succeeded, w=139\",\"Add (0,3)=83 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,83],[1,2,62],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=17,(0,2)=60,(1,2)=62,(0,3)=83]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=60 Succeeded, w=77\",\"Find(1)=1, Find(2)=0, Add (1,2)=62 Succeeded, w=139\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,60],[0,3,83],[1,2,62],[1,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=17,(0,2)=60,(1,2)=62,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=60 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=62 Succeeded, w=139\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,97],[0,3,77],[1,2,20],[2,3,6]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,77],[1,2,20],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,77],[1,2,20],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,77],[1,2,20],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (1,2)=20, w=26\",\"Add (0,3)=77, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,77],[1,2,20],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (1,2)=20 Succeeded, w=26\",\"Add (0,3)=77 Succeeded, w=103\",\"Add (0,1)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,77],[1,2,20],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(1,2)=20,(0,3)=77,(0,1)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=26\",\"Find(0)=0, Find(3)=2, Add (0,3)=77 Succeeded, w=103\",\"Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,3,77],[1,2,20],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(1,2)=20,(0,3)=77,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=77 Succeeded, w=103\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,19],[0,3,31],[0,4,10],[0,5,58],[1,2,12],[1,3,73],[1,4,36],[1,5,12],[2,3,35],[2,4,75],[2,5,76],[3,4,20],[3,5,95],[4,5,5]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,31],[0,4,10],[0,5,58],[1,2,12],[1,3,73],[1,4,36],[1,5,12],[2,3,35],[2,4,75],[2,5,76],[3,4,20],[3,5,95],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,31],[0,4,10],[0,5,58],[1,2,12],[1,3,73],[1,4,36],[1,5,12],[2,3,35],[2,4,75],[2,5,76],[3,4,20],[3,5,95],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (3,4)\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,31],[0,4,10],[0,5,58],[1,2,12],[1,3,73],[1,4,36],[1,5,12],[2,3,35],[2,4,75],[2,5,76],[3,4,20],[3,5,95],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5, w=5\",\"Add (0,4)=10, w=15\",\"Add (1,2)=12, w=27\",\"Add (1,5)=12, w=39\",\"Add (3,4)=20, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,31],[0,4,10],[0,5,58],[1,2,12],[1,3,73],[1,4,36],[1,5,12],[2,3,35],[2,4,75],[2,5,76],[3,4,20],[3,5,95],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5 Succeeded, w=5\",\"Add (0,4)=10 Succeeded, w=15\",\"Add (1,2)=12 Succeeded, w=27\",\"Add (1,5)=12 Succeeded, w=39\",\"Add (0,2)=19 Failed, w=39\",\"Add (3,4)=20 Succeeded, w=59\",\"Add (0,3)=31 Failed, w=59\",\"Add (2,3)=35 Failed, w=59\",\"Add (1,4)=36 Failed, w=59\",\"Add (0,5)=58 Failed, w=59\",\"Add (1,3)=73 Failed, w=59\",\"Add (2,4)=75 Failed, w=59\",\"Add (2,5)=76 Failed, w=59\",\"Add (3,5)=95 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,31],[0,4,10],[0,5,58],[1,2,12],[1,3,73],[1,4,36],[1,5,12],[2,3,35],[2,4,75],[2,5,76],[3,4,20],[3,5,95],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(0,4)=10,(1,2)=12,(1,5)=12,(0,2)=19,(3,4)=20,(0,3)=31,(2,3)=35,(1,4)=36,(0,5)=58,(1,3)=73,(2,4)=75,(2,5)=76,(3,5)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=27\",\"Find(1)=1, Find(5)=4, Add (1,5)=12 Succeeded, w=39\",\"Find(0)=1, Find(2)=1, Add (0,2)=19 Failed, w=39\",\"Find(3)=3, Find(4)=1, Add (3,4)=20 Succeeded, w=59\",\"Find(0)=1, Find(3)=1, Add (0,3)=31 Failed, w=59\",\"Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=59\",\"Find(1)=1, Find(4)=1, Add (1,4)=36 Failed, w=59\",\"Find(0)=1, Find(5)=1, Add (0,5)=58 Failed, w=59\",\"Find(1)=1, Find(3)=1, Add (1,3)=73 Failed, w=59\",\"Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=59\",\"Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=59\",\"Find(3)=1, Find(5)=1, Add (3,5)=95 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,31],[0,4,10],[0,5,58],[1,2,12],[1,3,73],[1,4,36],[1,5,12],[2,3,35],[2,4,75],[2,5,76],[3,4,20],[3,5,95],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(0,4)=10,(1,2)=12,(1,5)=12,(0,2)=19,(3,4)=20,(0,3)=31,(2,3)=35,(1,4)=36,(0,5)=58,(1,3)=73,(2,4)=75,(2,5)=76,(3,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=15\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=27\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=12 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4}, Find(0)=1, Find(2)=1, Add (0,2)=19 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(3)=3, Find(4)=1, Add (3,4)=20 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(0)=1, Find(3)=1, Add (0,3)=31 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(1)=1, Find(4)=1, Add (1,4)=36 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=58 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=73 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=76 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=95 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,40],[0,2,84],[0,3,48],[0,4,82],[0,5,53],[1,3,90],[1,4,78],[1,5,72],[2,3,95],[2,4,73],[2,5,26],[3,4,15],[3,5,90]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,84],[0,3,48],[0,4,82],[0,5,53],[1,3,90],[1,4,78],[1,5,72],[2,3,95],[2,4,73],[2,5,26],[3,4,15],[3,5,90]]}",
"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\":[[0,1,40],[0,2,84],[0,3,48],[0,4,82],[0,5,53],[1,3,90],[1,4,78],[1,5,72],[2,3,95],[2,4,73],[2,5,26],[3,4,15],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,40],[0,2,84],[0,3,48],[0,4,82],[0,5,53],[1,3,90],[1,4,78],[1,5,72],[2,3,95],[2,4,73],[2,5,26],[3,4,15],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=15, w=15\",\"Add (2,5)=26, w=41\",\"Add (0,1)=40, w=81\",\"Add (0,3)=48, w=129\",\"Add (0,5)=53, 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\":[[0,1,40],[0,2,84],[0,3,48],[0,4,82],[0,5,53],[1,3,90],[1,4,78],[1,5,72],[2,3,95],[2,4,73],[2,5,26],[3,4,15],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=15 Succeeded, w=15\",\"Add (2,5)=26 Succeeded, w=41\",\"Add (0,1)=40 Succeeded, w=81\",\"Add (0,3)=48 Succeeded, w=129\",\"Add (0,5)=53 Succeeded, w=182\",\"Add (1,5)=72 Failed, w=182\",\"Add (2,4)=73 Failed, w=182\",\"Add (1,4)=78 Failed, w=182\",\"Add (0,4)=82 Failed, w=182\",\"Add (0,2)=84 Failed, w=182\",\"Add (1,3)=90 Failed, w=182\",\"Add (3,5)=90 Failed, w=182\",\"Add (2,3)=95 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\":[[0,1,40],[0,2,84],[0,3,48],[0,4,82],[0,5,53],[1,3,90],[1,4,78],[1,5,72],[2,3,95],[2,4,73],[2,5,26],[3,4,15],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=15,(2,5)=26,(0,1)=40,(0,3)=48,(0,5)=53,(1,5)=72,(2,4)=73,(1,4)=78,(0,4)=82,(0,2)=84,(1,3)=90,(3,5)=90,(2,3)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Find(2)=2, Find(5)=5, Add (2,5)=26 Succeeded, w=41\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=81\",\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=129\",\"Find(0)=0, Find(5)=2, Add (0,5)=53 Succeeded, w=182\",\"Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=182\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=182\",\"Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=182\",\"Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=182\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=182\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=182\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=182\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 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\":[[0,1,40],[0,2,84],[0,3,48],[0,4,82],[0,5,53],[1,3,90],[1,4,78],[1,5,72],[2,3,95],[2,4,73],[2,5,26],[3,4,15],[3,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=15,(2,5)=26,(0,1)=40,(0,3)=48,(0,5)=53,(1,5)=72,(2,4)=73,(1,4)=78,(0,4)=82,(0,2)=84,(1,3)=90,(3,5)=90,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=26 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=53 Succeeded, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=182\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,70],[0,5,16],[1,2,1],[1,3,79],[1,4,10],[1,6,87],[1,7,18],[2,3,69],[2,5,99],[2,6,79],[3,4,59],[3,5,5],[3,7,41],[4,5,27],[4,6,30],[4,7,23],[5,6,43],[5,7,73]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,70],[0,5,16],[1,2,1],[1,3,79],[1,4,10],[1,6,87],[1,7,18],[2,3,69],[2,5,99],[2,6,79],[3,4,59],[3,5,5],[3,7,41],[4,5,27],[4,6,30],[4,7,23],[5,6,43],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,70],[0,5,16],[1,2,1],[1,3,79],[1,4,10],[1,6,87],[1,7,18],[2,3,69],[2,5,99],[2,6,79],[3,4,59],[3,5,5],[3,7,41],[4,5,27],[4,6,30],[4,7,23],[5,6,43],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (1,7)\",\"Add (4,5)\",\"Add (4,6)\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,70],[0,5,16],[1,2,1],[1,3,79],[1,4,10],[1,6,87],[1,7,18],[2,3,69],[2,5,99],[2,6,79],[3,4,59],[3,5,5],[3,7,41],[4,5,27],[4,6,30],[4,7,23],[5,6,43],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (3,5)=5, w=6\",\"Add (1,4)=10, w=16\",\"Add (0,5)=16, w=32\",\"Add (1,7)=18, w=50\",\"Add (4,5)=27, w=77\",\"Add (4,6)=30, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,70],[0,5,16],[1,2,1],[1,3,79],[1,4,10],[1,6,87],[1,7,18],[2,3,69],[2,5,99],[2,6,79],[3,4,59],[3,5,5],[3,7,41],[4,5,27],[4,6,30],[4,7,23],[5,6,43],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (3,5)=5 Succeeded, w=6\",\"Add (1,4)=10 Succeeded, w=16\",\"Add (0,5)=16 Succeeded, w=32\",\"Add (1,7)=18 Succeeded, w=50\",\"Add (4,7)=23 Failed, w=50\",\"Add (4,5)=27 Succeeded, w=77\",\"Add (4,6)=30 Succeeded, w=107\",\"Add (3,7)=41 Failed, w=107\",\"Add (5,6)=43 Failed, w=107\",\"Add (3,4)=59 Failed, w=107\",\"Add (2,3)=69 Failed, w=107\",\"Add (0,4)=70 Failed, w=107\",\"Add (5,7)=73 Failed, w=107\",\"Add (1,3)=79 Failed, w=107\",\"Add (2,6)=79 Failed, w=107\",\"Add (1,6)=87 Failed, w=107\",\"Add (2,5)=99 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,70],[0,5,16],[1,2,1],[1,3,79],[1,4,10],[1,6,87],[1,7,18],[2,3,69],[2,5,99],[2,6,79],[3,4,59],[3,5,5],[3,7,41],[4,5,27],[4,6,30],[4,7,23],[5,6,43],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(3,5)=5,(1,4)=10,(0,5)=16,(1,7)=18,(4,7)=23,(4,5)=27,(4,6)=30,(3,7)=41,(5,6)=43,(3,4)=59,(2,3)=69,(0,4)=70,(5,7)=73,(1,3)=79,(2,6)=79,(1,6)=87,(2,5)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=6\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=16\",\"Find(0)=0, Find(5)=3, Add (0,5)=16 Succeeded, w=32\",\"Find(1)=1, Find(7)=7, Add (1,7)=18 Succeeded, w=50\",\"Find(4)=1, Find(7)=1, Add (4,7)=23 Failed, w=50\",\"Find(4)=1, Find(5)=3, Add (4,5)=27 Succeeded, w=77\",\"Find(4)=1, Find(6)=6, Add (4,6)=30 Succeeded, w=107\",\"Find(3)=1, Find(7)=1, Add (3,7)=41 Failed, w=107\",\"Find(5)=1, Find(6)=1, Add (5,6)=43 Failed, w=107\",\"Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=107\",\"Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=107\",\"Find(0)=1, Find(4)=1, Add (0,4)=70 Failed, w=107\",\"Find(5)=1, Find(7)=1, Add (5,7)=73 Failed, w=107\",\"Find(1)=1, Find(3)=1, Add (1,3)=79 Failed, w=107\",\"Find(2)=1, Find(6)=1, Add (2,6)=79 Failed, w=107\",\"Find(1)=1, Find(6)=1, Add (1,6)=87 Failed, w=107\",\"Find(2)=1, Find(5)=1, Add (2,5)=99 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,70],[0,5,16],[1,2,1],[1,3,79],[1,4,10],[1,6,87],[1,7,18],[2,3,69],[2,5,99],[2,6,79],[3,4,59],[3,5,5],[3,7,41],[4,5,27],[4,6,30],[4,7,23],[5,6,43],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(3,5)=5,(1,4)=10,(0,5)=16,(1,7)=18,(4,7)=23,(4,5)=27,(4,6)=30,(3,7)=41,(5,6)=43,(3,4)=59,(2,3)=69,(0,4)=70,(5,7)=73,(1,3)=79,(2,6)=79,(1,6)=87,(2,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=16\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(5)=3, Add (0,5)=16 Succeeded, w=32\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=18 Succeeded, w=50\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 6, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=23 Failed, w=50\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 6, 7: 1}, Find(4)=1, Find(5)=3, Add (4,5)=27 Succeeded, w=77\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(4)=1, Find(6)=6, Add (4,6)=30 Succeeded, w=107\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=41 Failed, w=107\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=43 Failed, w=107\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=107\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=69 Failed, w=107\",\"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)=70 Failed, w=107\",\"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)=73 Failed, w=107\",\"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)=79 Failed, w=107\",\"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)=79 Failed, w=107\",\"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=107\",\"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)=99 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,66],[0,2,43],[0,3,84],[0,4,45],[0,5,77],[1,4,45],[1,5,30],[1,6,64],[2,3,88],[2,4,43],[2,5,11],[2,6,89],[3,5,40],[3,6,39],[4,5,88],[4,6,56],[5,6,93]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,43],[0,3,84],[0,4,45],[0,5,77],[1,4,45],[1,5,30],[1,6,64],[2,3,88],[2,4,43],[2,5,11],[2,6,89],[3,5,40],[3,6,39],[4,5,88],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,43],[0,3,84],[0,4,45],[0,5,77],[1,4,45],[1,5,30],[1,6,64],[2,3,88],[2,4,43],[2,5,11],[2,6,89],[3,5,40],[3,6,39],[4,5,88],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,43],[0,3,84],[0,4,45],[0,5,77],[1,4,45],[1,5,30],[1,6,64],[2,3,88],[2,4,43],[2,5,11],[2,6,89],[3,5,40],[3,6,39],[4,5,88],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11, w=11\",\"Add (1,5)=30, w=41\",\"Add (3,6)=39, w=80\",\"Add (3,5)=40, w=120\",\"Add (0,2)=43, w=163\",\"Add (2,4)=43, w=206\"],\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,43],[0,3,84],[0,4,45],[0,5,77],[1,4,45],[1,5,30],[1,6,64],[2,3,88],[2,4,43],[2,5,11],[2,6,89],[3,5,40],[3,6,39],[4,5,88],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=11 Succeeded, w=11\",\"Add (1,5)=30 Succeeded, w=41\",\"Add (3,6)=39 Succeeded, w=80\",\"Add (3,5)=40 Succeeded, w=120\",\"Add (0,2)=43 Succeeded, w=163\",\"Add (2,4)=43 Succeeded, w=206\",\"Add (0,4)=45 Failed, w=206\",\"Add (1,4)=45 Failed, w=206\",\"Add (4,6)=56 Failed, w=206\",\"Add (1,6)=64 Failed, w=206\",\"Add (0,1)=66 Failed, w=206\",\"Add (0,5)=77 Failed, w=206\",\"Add (0,3)=84 Failed, w=206\",\"Add (2,3)=88 Failed, w=206\",\"Add (4,5)=88 Failed, w=206\",\"Add (2,6)=89 Failed, w=206\",\"Add (5,6)=93 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,43],[0,3,84],[0,4,45],[0,5,77],[1,4,45],[1,5,30],[1,6,64],[2,3,88],[2,4,43],[2,5,11],[2,6,89],[3,5,40],[3,6,39],[4,5,88],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(1,5)=30,(3,6)=39,(3,5)=40,(0,2)=43,(2,4)=43,(0,4)=45,(1,4)=45,(4,6)=56,(1,6)=64,(0,1)=66,(0,5)=77,(0,3)=84,(2,3)=88,(4,5)=88,(2,6)=89,(5,6)=93]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=41\",\"Find(3)=3, Find(6)=6, Add (3,6)=39 Succeeded, w=80\",\"Find(3)=3, Find(5)=2, Add (3,5)=40 Succeeded, w=120\",\"Find(0)=0, Find(2)=3, Add (0,2)=43 Succeeded, w=163\",\"Find(2)=3, Find(4)=4, Add (2,4)=43 Succeeded, w=206\",\"Find(0)=3, Find(4)=3, Add (0,4)=45 Failed, w=206\",\"Find(1)=3, Find(4)=3, Add (1,4)=45 Failed, w=206\",\"Find(4)=3, Find(6)=3, Add (4,6)=56 Failed, w=206\",\"Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=206\",\"Find(0)=3, Find(1)=3, Add (0,1)=66 Failed, w=206\",\"Find(0)=3, Find(5)=3, Add (0,5)=77 Failed, w=206\",\"Find(0)=3, Find(3)=3, Add (0,3)=84 Failed, w=206\",\"Find(2)=3, Find(3)=3, Add (2,3)=88 Failed, w=206\",\"Find(4)=3, Find(5)=3, Add (4,5)=88 Failed, w=206\",\"Find(2)=3, Find(6)=3, Add (2,6)=89 Failed, w=206\",\"Find(5)=3, Find(6)=3, Add (5,6)=93 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,43],[0,3,84],[0,4,45],[0,5,77],[1,4,45],[1,5,30],[1,6,64],[2,3,88],[2,4,43],[2,5,11],[2,6,89],[3,5,40],[3,6,39],[4,5,88],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=11,(1,5)=30,(3,6)=39,(3,5)=40,(0,2)=43,(2,4)=43,(0,4)=45,(1,4)=45,(4,6)=56,(1,6)=64,(0,1)=66,(0,5)=77,(0,3)=84,(2,3)=88,(4,5)=88,(2,6)=89,(5,6)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=30 Succeeded, w=41\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=39 Succeeded, w=80\",\"Parent: {0: 0, 1: 2, 2: 3, 3: 3, 4: 4, 5: 2, 6: 3}, Find(3)=3, Find(5)=2, Add (3,5)=40 Succeeded, w=120\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 4, 5: 2, 6: 3}, Find(0)=0, Find(2)=3, Add (0,2)=43 Succeeded, w=163\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3}, Find(2)=3, Find(4)=4, Add (2,4)=43 Succeeded, w=206\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=45 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=45 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=56 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=64 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=66 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=77 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=84 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=88 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=88 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=89 Failed, w=206\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=93 Failed, w=206\"],\"Answer\":206}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,67],[0,2,35],[1,2,20],[1,3,1],[2,3,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,20],[1,3,1],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,20],[1,3,1],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,20],[1,3,1],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (1,2)=20, w=21\",\"Add (0,2)=35, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,20],[1,3,1],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,2)=20 Succeeded, w=21\",\"Add (0,2)=35 Succeeded, w=56\",\"Add (0,1)=67 Failed, w=56\",\"Add (2,3)=72 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,20],[1,3,1],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,2)=20,(0,2)=35,(0,1)=67,(2,3)=72]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=21\",\"Find(0)=0, Find(2)=1, Add (0,2)=35 Succeeded, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=56\",\"Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,35],[1,2,20],[1,3,1],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,2)=20,(0,2)=35,(0,1)=67,(2,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=35 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,58],[0,3,100],[0,6,44],[1,2,86],[1,4,57],[1,5,77],[1,6,67],[2,3,52],[2,4,84],[2,5,91],[2,6,23],[3,4,99],[3,5,28],[4,5,88],[4,6,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,100],[0,6,44],[1,2,86],[1,4,57],[1,5,77],[1,6,67],[2,3,52],[2,4,84],[2,5,91],[2,6,23],[3,4,99],[3,5,28],[4,5,88],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":267}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,100],[0,6,44],[1,2,86],[1,4,57],[1,5,77],[1,6,67],[2,3,52],[2,4,84],[2,5,91],[2,6,23],[3,4,99],[3,5,28],[4,5,88],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (4,6)\"],\"Answer\":267}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,100],[0,6,44],[1,2,86],[1,4,57],[1,5,77],[1,6,67],[2,3,52],[2,4,84],[2,5,91],[2,6,23],[3,4,99],[3,5,28],[4,5,88],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=23, w=23\",\"Add (3,5)=28, w=51\",\"Add (0,6)=44, w=95\",\"Add (2,3)=52, w=147\",\"Add (1,4)=57, w=204\",\"Add (4,6)=63, w=267\"],\"Answer\":267}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,100],[0,6,44],[1,2,86],[1,4,57],[1,5,77],[1,6,67],[2,3,52],[2,4,84],[2,5,91],[2,6,23],[3,4,99],[3,5,28],[4,5,88],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=23 Succeeded, w=23\",\"Add (3,5)=28 Succeeded, w=51\",\"Add (0,6)=44 Succeeded, w=95\",\"Add (2,3)=52 Succeeded, w=147\",\"Add (1,4)=57 Succeeded, w=204\",\"Add (0,2)=58 Failed, w=204\",\"Add (4,6)=63 Succeeded, w=267\",\"Add (1,6)=67 Failed, w=267\",\"Add (1,5)=77 Failed, w=267\",\"Add (2,4)=84 Failed, w=267\",\"Add (1,2)=86 Failed, w=267\",\"Add (4,5)=88 Failed, w=267\",\"Add (2,5)=91 Failed, w=267\",\"Add (3,4)=99 Failed, w=267\",\"Add (0,3)=100 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,100],[0,6,44],[1,2,86],[1,4,57],[1,5,77],[1,6,67],[2,3,52],[2,4,84],[2,5,91],[2,6,23],[3,4,99],[3,5,28],[4,5,88],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=23,(3,5)=28,(0,6)=44,(2,3)=52,(1,4)=57,(0,2)=58,(4,6)=63,(1,6)=67,(1,5)=77,(2,4)=84,(1,2)=86,(4,5)=88,(2,5)=91,(3,4)=99,(0,3)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=23 Succeeded, w=23\",\"Find(3)=3, Find(5)=5, Add (3,5)=28 Succeeded, w=51\",\"Find(0)=0, Find(6)=2, Add (0,6)=44 Succeeded, w=95\",\"Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=147\",\"Find(1)=1, Find(4)=4, Add (1,4)=57 Succeeded, w=204\",\"Find(0)=2, Find(2)=2, Add (0,2)=58 Failed, w=204\",\"Find(4)=1, Find(6)=2, Add (4,6)=63 Succeeded, w=267\",\"Find(1)=2, Find(6)=2, Add (1,6)=67 Failed, w=267\",\"Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=267\",\"Find(2)=2, Find(4)=2, Add (2,4)=84 Failed, w=267\",\"Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=267\",\"Find(4)=2, Find(5)=2, Add (4,5)=88 Failed, w=267\",\"Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=267\",\"Find(3)=2, Find(4)=2, Add (3,4)=99 Failed, w=267\",\"Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,58],[0,3,100],[0,6,44],[1,2,86],[1,4,57],[1,5,77],[1,6,67],[2,3,52],[2,4,84],[2,5,91],[2,6,23],[3,4,99],[3,5,28],[4,5,88],[4,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=23,(3,5)=28,(0,6)=44,(2,3)=52,(1,4)=57,(0,2)=58,(4,6)=63,(1,6)=67,(1,5)=77,(2,4)=84,(1,2)=86,(4,5)=88,(2,5)=91,(3,4)=99,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(3)=3, Find(5)=5, Add (3,5)=28 Succeeded, w=51\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=44 Succeeded, w=95\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 3, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=52 Succeeded, w=147\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 3, 6: 2}, Find(1)=1, Find(4)=4, Add (1,4)=57 Succeeded, w=204\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 3, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=58 Failed, w=204\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 3, 6: 2}, Find(4)=1, Find(6)=2, Add (4,6)=63 Succeeded, w=267\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 3, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=67 Failed, w=267\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=77 Failed, w=267\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=84 Failed, w=267\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=86 Failed, w=267\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=88 Failed, w=267\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=91 Failed, w=267\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=99 Failed, w=267\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=267\"],\"Answer\":267}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,3],[0,4,19],[0,5,10],[0,6,47],[0,7,10],[1,2,70],[1,3,54],[1,4,14],[1,6,90],[1,7,78],[2,3,20],[2,4,63],[2,5,21],[2,6,30],[2,7,38],[3,4,39],[3,5,68],[3,6,78],[3,7,31],[4,5,85],[4,6,33],[4,7,57],[5,6,40],[6,7,84]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,3],[0,4,19],[0,5,10],[0,6,47],[0,7,10],[1,2,70],[1,3,54],[1,4,14],[1,6,90],[1,7,78],[2,3,20],[2,4,63],[2,5,21],[2,6,30],[2,7,38],[3,4,39],[3,5,68],[3,6,78],[3,7,31],[4,5,85],[4,6,33],[4,7,57],[5,6,40],[6,7,84]]}",
"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\":[[0,3,3],[0,4,19],[0,5,10],[0,6,47],[0,7,10],[1,2,70],[1,3,54],[1,4,14],[1,6,90],[1,7,78],[2,3,20],[2,4,63],[2,5,21],[2,6,30],[2,7,38],[3,4,39],[3,5,68],[3,6,78],[3,7,31],[4,5,85],[4,6,33],[4,7,57],[5,6,40],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,5)\",\"Add (0,7)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (2,6)\"],\"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\":[[0,3,3],[0,4,19],[0,5,10],[0,6,47],[0,7,10],[1,2,70],[1,3,54],[1,4,14],[1,6,90],[1,7,78],[2,3,20],[2,4,63],[2,5,21],[2,6,30],[2,7,38],[3,4,39],[3,5,68],[3,6,78],[3,7,31],[4,5,85],[4,6,33],[4,7,57],[5,6,40],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (0,5)=10, w=13\",\"Add (0,7)=10, w=23\",\"Add (1,4)=14, w=37\",\"Add (0,4)=19, w=56\",\"Add (2,3)=20, w=76\",\"Add (2,6)=30, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,3],[0,4,19],[0,5,10],[0,6,47],[0,7,10],[1,2,70],[1,3,54],[1,4,14],[1,6,90],[1,7,78],[2,3,20],[2,4,63],[2,5,21],[2,6,30],[2,7,38],[3,4,39],[3,5,68],[3,6,78],[3,7,31],[4,5,85],[4,6,33],[4,7,57],[5,6,40],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,5)=10 Succeeded, w=13\",\"Add (0,7)=10 Succeeded, w=23\",\"Add (1,4)=14 Succeeded, w=37\",\"Add (0,4)=19 Succeeded, w=56\",\"Add (2,3)=20 Succeeded, w=76\",\"Add (2,5)=21 Failed, w=76\",\"Add (2,6)=30 Succeeded, w=106\",\"Add (3,7)=31 Failed, w=106\",\"Add (4,6)=33 Failed, w=106\",\"Add (2,7)=38 Failed, w=106\",\"Add (3,4)=39 Failed, w=106\",\"Add (5,6)=40 Failed, w=106\",\"Add (0,6)=47 Failed, w=106\",\"Add (1,3)=54 Failed, w=106\",\"Add (4,7)=57 Failed, w=106\",\"Add (2,4)=63 Failed, w=106\",\"Add (3,5)=68 Failed, w=106\",\"Add (1,2)=70 Failed, w=106\",\"Add (1,7)=78 Failed, w=106\",\"Add (3,6)=78 Failed, w=106\",\"Add (6,7)=84 Failed, w=106\",\"Add (4,5)=85 Failed, w=106\",\"Add (1,6)=90 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\":[[0,3,3],[0,4,19],[0,5,10],[0,6,47],[0,7,10],[1,2,70],[1,3,54],[1,4,14],[1,6,90],[1,7,78],[2,3,20],[2,4,63],[2,5,21],[2,6,30],[2,7,38],[3,4,39],[3,5,68],[3,6,78],[3,7,31],[4,5,85],[4,6,33],[4,7,57],[5,6,40],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,5)=10,(0,7)=10,(1,4)=14,(0,4)=19,(2,3)=20,(2,5)=21,(2,6)=30,(3,7)=31,(4,6)=33,(2,7)=38,(3,4)=39,(5,6)=40,(0,6)=47,(1,3)=54,(4,7)=57,(2,4)=63,(3,5)=68,(1,2)=70,(1,7)=78,(3,6)=78,(6,7)=84,(4,5)=85,(1,6)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=13\",\"Find(0)=0, Find(7)=7, Add (0,7)=10 Succeeded, w=23\",\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=37\",\"Find(0)=0, Find(4)=1, Add (0,4)=19 Succeeded, w=56\",\"Find(2)=2, Find(3)=0, Add (2,3)=20 Succeeded, w=76\",\"Find(2)=0, Find(5)=0, Add (2,5)=21 Failed, w=76\",\"Find(2)=0, Find(6)=6, Add (2,6)=30 Succeeded, w=106\",\"Find(3)=0, Find(7)=0, Add (3,7)=31 Failed, w=106\",\"Find(4)=0, Find(6)=0, Add (4,6)=33 Failed, w=106\",\"Find(2)=0, Find(7)=0, Add (2,7)=38 Failed, w=106\",\"Find(3)=0, Find(4)=0, Add (3,4)=39 Failed, w=106\",\"Find(5)=0, Find(6)=0, Add (5,6)=40 Failed, w=106\",\"Find(0)=0, Find(6)=0, Add (0,6)=47 Failed, w=106\",\"Find(1)=0, Find(3)=0, Add (1,3)=54 Failed, w=106\",\"Find(4)=0, Find(7)=0, Add (4,7)=57 Failed, w=106\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=106\",\"Find(3)=0, Find(5)=0, Add (3,5)=68 Failed, w=106\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=106\",\"Find(1)=0, Find(7)=0, Add (1,7)=78 Failed, w=106\",\"Find(3)=0, Find(6)=0, Add (3,6)=78 Failed, w=106\",\"Find(6)=0, Find(7)=0, Add (6,7)=84 Failed, w=106\",\"Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=106\",\"Find(1)=0, Find(6)=0, Add (1,6)=90 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\":[[0,3,3],[0,4,19],[0,5,10],[0,6,47],[0,7,10],[1,2,70],[1,3,54],[1,4,14],[1,6,90],[1,7,78],[2,3,20],[2,4,63],[2,5,21],[2,6,30],[2,7,38],[3,4,39],[3,5,68],[3,6,78],[3,7,31],[4,5,85],[4,6,33],[4,7,57],[5,6,40],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,5)=10,(0,7)=10,(1,4)=14,(0,4)=19,(2,3)=20,(2,5)=21,(2,6)=30,(3,7)=31,(4,6)=33,(2,7)=38,(3,4)=39,(5,6)=40,(0,6)=47,(1,3)=54,(4,7)=57,(2,4)=63,(3,5)=68,(1,2)=70,(1,7)=78,(3,6)=78,(6,7)=84,(4,5)=85,(1,6)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=10 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(4)=1, Add (0,4)=19 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6, 7: 0}, Find(2)=2, Find(3)=0, Add (2,3)=20 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=21 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=6, Add (2,6)=30 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=31 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)=33 Failed, w=106\",\"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)=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(4)=0, Add (3,4)=39 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)=40 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=47 Failed, w=106\",\"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)=54 Failed, w=106\",\"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)=57 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=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)=68 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=106\",\"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)=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(6)=0, Add (3,6)=78 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)=84 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)=85 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=90 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,28],[0,3,65],[0,5,59],[1,3,89],[1,4,97],[1,5,98],[2,3,65],[2,5,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,65],[0,5,59],[1,3,89],[1,4,97],[1,5,98],[2,3,65],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":314}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,65],[0,5,59],[1,3,89],[1,4,97],[1,5,98],[2,3,65],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":314}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,65],[0,5,59],[1,3,89],[1,4,97],[1,5,98],[2,3,65],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=28, w=28\",\"Add (0,5)=59, w=87\",\"Add (0,3)=65, w=152\",\"Add (2,3)=65, w=217\",\"Add (1,4)=97, w=314\"],\"Answer\":314}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,65],[0,5,59],[1,3,89],[1,4,97],[1,5,98],[2,3,65],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=28 Succeeded, w=28\",\"Add (0,5)=59 Succeeded, w=87\",\"Add (0,3)=65 Succeeded, w=152\",\"Add (2,3)=65 Succeeded, w=217\",\"Add (1,3)=89 Failed, w=217\",\"Add (2,5)=96 Failed, w=217\",\"Add (1,4)=97 Succeeded, w=314\",\"Add (1,5)=98 Failed, w=314\"],\"Answer\":314}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,65],[0,5,59],[1,3,89],[1,4,97],[1,5,98],[2,3,65],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=28,(0,5)=59,(0,3)=65,(2,3)=65,(1,3)=89,(2,5)=96,(1,4)=97,(1,5)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Find(0)=0, Find(5)=5, Add (0,5)=59 Succeeded, w=87\",\"Find(0)=0, Find(3)=3, Add (0,3)=65 Succeeded, w=152\",\"Find(2)=2, Find(3)=0, Add (2,3)=65 Succeeded, w=217\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=217\",\"Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=217\",\"Find(1)=0, Find(4)=4, Add (1,4)=97 Succeeded, w=314\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=314\"],\"Answer\":314}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,3,65],[0,5,59],[1,3,89],[1,4,97],[1,5,98],[2,3,65],[2,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=28,(0,5)=59,(0,3)=65,(2,3)=65,(1,3)=89,(2,5)=96,(1,4)=97,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=59 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=65 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=65 Succeeded, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=96 Failed, w=217\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=97 Succeeded, w=314\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=314\"],\"Answer\":314}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,53],[0,3,80],[0,4,92],[0,5,25],[0,6,93],[1,2,64],[1,3,74],[1,4,45],[1,5,40],[1,6,29],[2,3,33],[2,4,96],[2,5,68],[2,6,6],[3,4,76],[3,5,67],[3,6,61],[4,5,16],[4,6,55],[5,6,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,80],[0,4,92],[0,5,25],[0,6,93],[1,2,64],[1,3,74],[1,4,45],[1,5,40],[1,6,29],[2,3,33],[2,4,96],[2,5,68],[2,6,6],[3,4,76],[3,5,67],[3,6,61],[4,5,16],[4,6,55],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,80],[0,4,92],[0,5,25],[0,6,93],[1,2,64],[1,3,74],[1,4,45],[1,5,40],[1,6,29],[2,3,33],[2,4,96],[2,5,68],[2,6,6],[3,4,76],[3,5,67],[3,6,61],[4,5,16],[4,6,55],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (4,5)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (2,3)\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,80],[0,4,92],[0,5,25],[0,6,93],[1,2,64],[1,3,74],[1,4,45],[1,5,40],[1,6,29],[2,3,33],[2,4,96],[2,5,68],[2,6,6],[3,4,76],[3,5,67],[3,6,61],[4,5,16],[4,6,55],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6, w=6\",\"Add (4,5)=16, w=22\",\"Add (0,5)=25, w=47\",\"Add (5,6)=26, w=73\",\"Add (1,6)=29, w=102\",\"Add (2,3)=33, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,80],[0,4,92],[0,5,25],[0,6,93],[1,2,64],[1,3,74],[1,4,45],[1,5,40],[1,6,29],[2,3,33],[2,4,96],[2,5,68],[2,6,6],[3,4,76],[3,5,67],[3,6,61],[4,5,16],[4,6,55],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=6 Succeeded, w=6\",\"Add (4,5)=16 Succeeded, w=22\",\"Add (0,5)=25 Succeeded, w=47\",\"Add (5,6)=26 Succeeded, w=73\",\"Add (1,6)=29 Succeeded, w=102\",\"Add (2,3)=33 Succeeded, w=135\",\"Add (1,5)=40 Failed, w=135\",\"Add (1,4)=45 Failed, w=135\",\"Add (0,1)=53 Failed, w=135\",\"Add (4,6)=55 Failed, w=135\",\"Add (3,6)=61 Failed, w=135\",\"Add (1,2)=64 Failed, w=135\",\"Add (3,5)=67 Failed, w=135\",\"Add (2,5)=68 Failed, w=135\",\"Add (1,3)=74 Failed, w=135\",\"Add (3,4)=76 Failed, w=135\",\"Add (0,3)=80 Failed, w=135\",\"Add (0,4)=92 Failed, w=135\",\"Add (0,6)=93 Failed, w=135\",\"Add (2,4)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,80],[0,4,92],[0,5,25],[0,6,93],[1,2,64],[1,3,74],[1,4,45],[1,5,40],[1,6,29],[2,3,33],[2,4,96],[2,5,68],[2,6,6],[3,4,76],[3,5,67],[3,6,61],[4,5,16],[4,6,55],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(4,5)=16,(0,5)=25,(5,6)=26,(1,6)=29,(2,3)=33,(1,5)=40,(1,4)=45,(0,1)=53,(4,6)=55,(3,6)=61,(1,2)=64,(3,5)=67,(2,5)=68,(1,3)=74,(3,4)=76,(0,3)=80,(0,4)=92,(0,6)=93,(2,4)=96]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=22\",\"Find(0)=0, Find(5)=4, Add (0,5)=25 Succeeded, w=47\",\"Find(5)=4, Find(6)=2, Add (5,6)=26 Succeeded, w=73\",\"Find(1)=1, Find(6)=4, Add (1,6)=29 Succeeded, w=102\",\"Find(2)=4, Find(3)=3, Add (2,3)=33 Succeeded, w=135\",\"Find(1)=4, Find(5)=4, Add (1,5)=40 Failed, w=135\",\"Find(1)=4, Find(4)=4, Add (1,4)=45 Failed, w=135\",\"Find(0)=4, Find(1)=4, Add (0,1)=53 Failed, w=135\",\"Find(4)=4, Find(6)=4, Add (4,6)=55 Failed, w=135\",\"Find(3)=4, Find(6)=4, Add (3,6)=61 Failed, w=135\",\"Find(1)=4, Find(2)=4, Add (1,2)=64 Failed, w=135\",\"Find(3)=4, Find(5)=4, Add (3,5)=67 Failed, w=135\",\"Find(2)=4, Find(5)=4, Add (2,5)=68 Failed, w=135\",\"Find(1)=4, Find(3)=4, Add (1,3)=74 Failed, w=135\",\"Find(3)=4, Find(4)=4, Add (3,4)=76 Failed, w=135\",\"Find(0)=4, Find(3)=4, Add (0,3)=80 Failed, w=135\",\"Find(0)=4, Find(4)=4, Add (0,4)=92 Failed, w=135\",\"Find(0)=4, Find(6)=4, Add (0,6)=93 Failed, w=135\",\"Find(2)=4, Find(4)=4, Add (2,4)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,80],[0,4,92],[0,5,25],[0,6,93],[1,2,64],[1,3,74],[1,4,45],[1,5,40],[1,6,29],[2,3,33],[2,4,96],[2,5,68],[2,6,6],[3,4,76],[3,5,67],[3,6,61],[4,5,16],[4,6,55],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=6,(4,5)=16,(0,5)=25,(5,6)=26,(1,6)=29,(2,3)=33,(1,5)=40,(1,4)=45,(0,1)=53,(4,6)=55,(3,6)=61,(1,2)=64,(3,5)=67,(2,5)=68,(1,3)=74,(3,4)=76,(0,3)=80,(0,4)=92,(0,6)=93,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=22\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(5)=4, Add (0,5)=25 Succeeded, w=47\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 2}, Find(5)=4, Find(6)=2, Add (5,6)=26 Succeeded, w=73\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=29 Succeeded, w=102\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=3, Add (2,3)=33 Succeeded, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=40 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=45 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=53 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=55 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=61 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=64 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=67 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=68 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=74 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=76 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=80 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=92 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=93 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=96 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,87],[0,2,28],[0,3,30],[0,4,46],[0,5,54],[0,6,20],[0,7,78],[1,2,88],[1,3,56],[1,4,0],[1,5,34],[1,6,3],[1,7,43],[2,3,66],[2,4,43],[2,5,84],[2,7,67],[3,4,48],[3,5,71],[3,6,46],[3,7,22],[4,5,3],[4,6,95],[4,7,39],[5,7,34],[6,7,74]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,28],[0,3,30],[0,4,46],[0,5,54],[0,6,20],[0,7,78],[1,2,88],[1,3,56],[1,4,0],[1,5,34],[1,6,3],[1,7,43],[2,3,66],[2,4,43],[2,5,84],[2,7,67],[3,4,48],[3,5,71],[3,6,46],[3,7,22],[4,5,3],[4,6,95],[4,7,39],[5,7,34],[6,7,74]]}",
"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\":[[0,1,87],[0,2,28],[0,3,30],[0,4,46],[0,5,54],[0,6,20],[0,7,78],[1,2,88],[1,3,56],[1,4,0],[1,5,34],[1,6,3],[1,7,43],[2,3,66],[2,4,43],[2,5,84],[2,7,67],[3,4,48],[3,5,71],[3,6,46],[3,7,22],[4,5,3],[4,6,95],[4,7,39],[5,7,34],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,6)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (3,7)\",\"Add (0,2)\",\"Add (0,3)\"],\"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\":[[0,1,87],[0,2,28],[0,3,30],[0,4,46],[0,5,54],[0,6,20],[0,7,78],[1,2,88],[1,3,56],[1,4,0],[1,5,34],[1,6,3],[1,7,43],[2,3,66],[2,4,43],[2,5,84],[2,7,67],[3,4,48],[3,5,71],[3,6,46],[3,7,22],[4,5,3],[4,6,95],[4,7,39],[5,7,34],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (1,6)=3, w=3\",\"Add (4,5)=3, w=6\",\"Add (0,6)=20, w=26\",\"Add (3,7)=22, w=48\",\"Add (0,2)=28, w=76\",\"Add (0,3)=30, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,87],[0,2,28],[0,3,30],[0,4,46],[0,5,54],[0,6,20],[0,7,78],[1,2,88],[1,3,56],[1,4,0],[1,5,34],[1,6,3],[1,7,43],[2,3,66],[2,4,43],[2,5,84],[2,7,67],[3,4,48],[3,5,71],[3,6,46],[3,7,22],[4,5,3],[4,6,95],[4,7,39],[5,7,34],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (1,6)=3 Succeeded, w=3\",\"Add (4,5)=3 Succeeded, w=6\",\"Add (0,6)=20 Succeeded, w=26\",\"Add (3,7)=22 Succeeded, w=48\",\"Add (0,2)=28 Succeeded, w=76\",\"Add (0,3)=30 Succeeded, w=106\",\"Add (1,5)=34 Failed, w=106\",\"Add (5,7)=34 Failed, w=106\",\"Add (4,7)=39 Failed, w=106\",\"Add (1,7)=43 Failed, w=106\",\"Add (2,4)=43 Failed, w=106\",\"Add (0,4)=46 Failed, w=106\",\"Add (3,6)=46 Failed, w=106\",\"Add (3,4)=48 Failed, w=106\",\"Add (0,5)=54 Failed, w=106\",\"Add (1,3)=56 Failed, w=106\",\"Add (2,3)=66 Failed, w=106\",\"Add (2,7)=67 Failed, w=106\",\"Add (3,5)=71 Failed, w=106\",\"Add (6,7)=74 Failed, w=106\",\"Add (0,7)=78 Failed, w=106\",\"Add (2,5)=84 Failed, w=106\",\"Add (0,1)=87 Failed, w=106\",\"Add (1,2)=88 Failed, w=106\",\"Add (4,6)=95 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\":[[0,1,87],[0,2,28],[0,3,30],[0,4,46],[0,5,54],[0,6,20],[0,7,78],[1,2,88],[1,3,56],[1,4,0],[1,5,34],[1,6,3],[1,7,43],[2,3,66],[2,4,43],[2,5,84],[2,7,67],[3,4,48],[3,5,71],[3,6,46],[3,7,22],[4,5,3],[4,6,95],[4,7,39],[5,7,34],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,6)=3,(4,5)=3,(0,6)=20,(3,7)=22,(0,2)=28,(0,3)=30,(1,5)=34,(5,7)=34,(4,7)=39,(1,7)=43,(2,4)=43,(0,4)=46,(3,6)=46,(3,4)=48,(0,5)=54,(1,3)=56,(2,3)=66,(2,7)=67,(3,5)=71,(6,7)=74,(0,7)=78,(2,5)=84,(0,1)=87,(1,2)=88,(4,6)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Find(4)=1, Find(5)=5, Add (4,5)=3 Succeeded, w=6\",\"Find(0)=0, Find(6)=1, Add (0,6)=20 Succeeded, w=26\",\"Find(3)=3, Find(7)=7, Add (3,7)=22 Succeeded, w=48\",\"Find(0)=1, Find(2)=2, Add (0,2)=28 Succeeded, w=76\",\"Find(0)=1, Find(3)=3, Add (0,3)=30 Succeeded, w=106\",\"Find(1)=1, Find(5)=1, Add (1,5)=34 Failed, w=106\",\"Find(5)=1, Find(7)=1, Add (5,7)=34 Failed, w=106\",\"Find(4)=1, Find(7)=1, Add (4,7)=39 Failed, w=106\",\"Find(1)=1, Find(7)=1, Add (1,7)=43 Failed, w=106\",\"Find(2)=1, Find(4)=1, Add (2,4)=43 Failed, w=106\",\"Find(0)=1, Find(4)=1, Add (0,4)=46 Failed, w=106\",\"Find(3)=1, Find(6)=1, Add (3,6)=46 Failed, w=106\",\"Find(3)=1, Find(4)=1, Add (3,4)=48 Failed, w=106\",\"Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=106\",\"Find(1)=1, Find(3)=1, Add (1,3)=56 Failed, w=106\",\"Find(2)=1, Find(3)=1, Add (2,3)=66 Failed, w=106\",\"Find(2)=1, Find(7)=1, Add (2,7)=67 Failed, w=106\",\"Find(3)=1, Find(5)=1, Add (3,5)=71 Failed, w=106\",\"Find(6)=1, Find(7)=1, Add (6,7)=74 Failed, w=106\",\"Find(0)=1, Find(7)=1, Add (0,7)=78 Failed, w=106\",\"Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=106\",\"Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=106\",\"Find(1)=1, Find(2)=1, Add (1,2)=88 Failed, w=106\",\"Find(4)=1, Find(6)=1, Add (4,6)=95 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\":[[0,1,87],[0,2,28],[0,3,30],[0,4,46],[0,5,54],[0,6,20],[0,7,78],[1,2,88],[1,3,56],[1,4,0],[1,5,34],[1,6,3],[1,7,43],[2,3,66],[2,4,43],[2,5,84],[2,7,67],[3,4,48],[3,5,71],[3,6,46],[3,7,22],[4,5,3],[4,6,95],[4,7,39],[5,7,34],[6,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(1,6)=3,(4,5)=3,(0,6)=20,(3,7)=22,(0,2)=28,(0,3)=30,(1,5)=34,(5,7)=34,(4,7)=39,(1,7)=43,(2,4)=43,(0,4)=46,(3,6)=46,(3,4)=48,(0,5)=54,(1,3)=56,(2,3)=66,(2,7)=67,(3,5)=71,(6,7)=74,(0,7)=78,(2,5)=84,(0,1)=87,(1,2)=88,(4,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(5)=5, Add (4,5)=3 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=0, Find(6)=1, Add (0,6)=20 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 1, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=22 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(2)=2, Add (0,2)=28 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=1, Find(3)=3, Add (0,3)=30 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(1)=1, Find(5)=1, Add (1,5)=34 Failed, w=106\",\"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)=34 Failed, w=106\",\"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)=39 Failed, w=106\",\"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=106\",\"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)=43 Failed, w=106\",\"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)=46 Failed, w=106\",\"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)=46 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=48 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=54 Failed, w=106\",\"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)=56 Failed, w=106\",\"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=106\",\"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)=67 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=71 Failed, w=106\",\"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)=74 Failed, w=106\",\"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)=78 Failed, w=106\",\"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)=84 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=106\",\"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)=88 Failed, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=95 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,68],[0,4,75],[0,5,3],[1,4,5],[2,3,30],[2,4,33],[4,5,23]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,68],[0,4,75],[0,5,3],[1,4,5],[2,3,30],[2,4,33],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,68],[0,4,75],[0,5,3],[1,4,5],[2,3,30],[2,4,33],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (2,4)\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,68],[0,4,75],[0,5,3],[1,4,5],[2,3,30],[2,4,33],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (1,4)=5, w=8\",\"Add (4,5)=23, w=31\",\"Add (2,3)=30, w=61\",\"Add (2,4)=33, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,68],[0,4,75],[0,5,3],[1,4,5],[2,3,30],[2,4,33],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (1,4)=5 Succeeded, w=8\",\"Add (4,5)=23 Succeeded, w=31\",\"Add (2,3)=30 Succeeded, w=61\",\"Add (2,4)=33 Succeeded, w=94\",\"Add (0,2)=68 Failed, w=94\",\"Add (0,4)=75 Failed, w=94\",\"Add (0,1)=90 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,68],[0,4,75],[0,5,3],[1,4,5],[2,3,30],[2,4,33],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,4)=5,(4,5)=23,(2,3)=30,(2,4)=33,(0,2)=68,(0,4)=75,(0,1)=90]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=8\",\"Find(4)=1, Find(5)=0, Add (4,5)=23 Succeeded, w=31\",\"Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=61\",\"Find(2)=2, Find(4)=1, Add (2,4)=33 Succeeded, w=94\",\"Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=94\",\"Find(0)=1, Find(4)=1, Add (0,4)=75 Failed, w=94\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,68],[0,4,75],[0,5,3],[1,4,5],[2,3,30],[2,4,33],[4,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(1,4)=5,(4,5)=23,(2,3)=30,(2,4)=33,(0,2)=68,(0,4)=75,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(4)=1, Find(5)=0, Add (4,5)=23 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=30 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 0}, Find(2)=2, Find(4)=1, Add (2,4)=33 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 0}, Find(0)=1, Find(2)=1, Add (0,2)=68 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 0}, Find(0)=1, Find(4)=1, Add (0,4)=75 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 0}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,2,28],[0,3,77],[0,4,16],[0,5,5],[1,2,59],[1,3,15],[1,4,55],[1,5,77],[2,3,34],[2,4,87],[2,5,32],[3,4,12],[3,5,63],[4,5,45]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,28],[0,3,77],[0,4,16],[0,5,5],[1,2,59],[1,3,15],[1,4,55],[1,5,77],[2,3,34],[2,4,87],[2,5,32],[3,4,12],[3,5,63],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,28],[0,3,77],[0,4,16],[0,5,5],[1,2,59],[1,3,15],[1,4,55],[1,5,77],[2,3,34],[2,4,87],[2,5,32],[3,4,12],[3,5,63],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,28],[0,3,77],[0,4,16],[0,5,5],[1,2,59],[1,3,15],[1,4,55],[1,5,77],[2,3,34],[2,4,87],[2,5,32],[3,4,12],[3,5,63],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (3,4)=12, w=17\",\"Add (1,3)=15, w=32\",\"Add (0,4)=16, w=48\",\"Add (0,2)=28, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,28],[0,3,77],[0,4,16],[0,5,5],[1,2,59],[1,3,15],[1,4,55],[1,5,77],[2,3,34],[2,4,87],[2,5,32],[3,4,12],[3,5,63],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (3,4)=12 Succeeded, w=17\",\"Add (1,3)=15 Succeeded, w=32\",\"Add (0,4)=16 Succeeded, w=48\",\"Add (0,2)=28 Succeeded, w=76\",\"Add (2,5)=32 Failed, w=76\",\"Add (0,1)=33 Failed, w=76\",\"Add (2,3)=34 Failed, w=76\",\"Add (4,5)=45 Failed, w=76\",\"Add (1,4)=55 Failed, w=76\",\"Add (1,2)=59 Failed, w=76\",\"Add (3,5)=63 Failed, w=76\",\"Add (0,3)=77 Failed, w=76\",\"Add (1,5)=77 Failed, w=76\",\"Add (2,4)=87 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,28],[0,3,77],[0,4,16],[0,5,5],[1,2,59],[1,3,15],[1,4,55],[1,5,77],[2,3,34],[2,4,87],[2,5,32],[3,4,12],[3,5,63],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(3,4)=12,(1,3)=15,(0,4)=16,(0,2)=28,(2,5)=32,(0,1)=33,(2,3)=34,(4,5)=45,(1,4)=55,(1,2)=59,(3,5)=63,(0,3)=77,(1,5)=77,(2,4)=87]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=32\",\"Find(0)=0, Find(4)=3, Add (0,4)=16 Succeeded, w=48\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=76\",\"Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=76\",\"Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=76\",\"Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=76\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=76\",\"Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=76\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=76\",\"Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=76\",\"Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=76\",\"Find(1)=0, Find(5)=0, Add (1,5)=77 Failed, w=76\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,28],[0,3,77],[0,4,16],[0,5,5],[1,2,59],[1,3,15],[1,4,55],[1,5,77],[2,3,34],[2,4,87],[2,5,32],[3,4,12],[3,5,63],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(3,4)=12,(1,3)=15,(0,4)=16,(0,2)=28,(2,5)=32,(0,1)=33,(2,3)=34,(4,5)=45,(1,4)=55,(1,2)=59,(3,5)=63,(0,3)=77,(1,5)=77,(2,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=32\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(4)=3, Add (0,4)=16 Succeeded, w=48\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=76\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=32 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=33 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=34 Failed, w=76\",\"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=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=77 Failed, w=76\",\"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=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,63],[0,2,7],[0,3,60],[1,2,22],[1,3,18],[2,3,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,7],[0,3,60],[1,2,22],[1,3,18],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":47}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,7],[0,3,60],[1,2,22],[1,3,18],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":47}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,7],[0,3,60],[1,2,22],[1,3,18],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (1,3)=18, w=25\",\"Add (1,2)=22, w=47\"],\"Answer\":47}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,7],[0,3,60],[1,2,22],[1,3,18],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (1,3)=18 Succeeded, w=25\",\"Add (1,2)=22 Succeeded, w=47\",\"Add (2,3)=35 Failed, w=47\",\"Add (0,3)=60 Failed, w=47\",\"Add (0,1)=63 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,7],[0,3,60],[1,2,22],[1,3,18],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(1,3)=18,(1,2)=22,(2,3)=35,(0,3)=60,(0,1)=63]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=25\",\"Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=47\",\"Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=47\",\"Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=47\",\"Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,7],[0,3,60],[1,2,22],[1,3,18],[2,3,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(1,3)=18,(1,2)=22,(2,3)=35,(0,3)=60,(0,1)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=35 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=60 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,74],[0,3,81],[0,4,48],[0,5,85],[0,6,6],[1,2,47],[1,3,55],[1,4,27],[1,5,55],[1,6,21],[2,3,95],[2,5,10],[2,6,51],[3,4,34],[3,5,98],[3,6,73],[4,6,87],[5,6,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,81],[0,4,48],[0,5,85],[0,6,6],[1,2,47],[1,3,55],[1,4,27],[1,5,55],[1,6,21],[2,3,95],[2,5,10],[2,6,51],[3,4,34],[3,5,98],[3,6,73],[4,6,87],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,81],[0,4,48],[0,5,85],[0,6,6],[1,2,47],[1,3,55],[1,4,27],[1,5,55],[1,6,21],[2,3,95],[2,5,10],[2,6,51],[3,4,34],[3,5,98],[3,6,73],[4,6,87],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,81],[0,4,48],[0,5,85],[0,6,6],[1,2,47],[1,3,55],[1,4,27],[1,5,55],[1,6,21],[2,3,95],[2,5,10],[2,6,51],[3,4,34],[3,5,98],[3,6,73],[4,6,87],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6, w=6\",\"Add (2,5)=10, w=16\",\"Add (1,6)=21, w=37\",\"Add (1,4)=27, w=64\",\"Add (3,4)=34, w=98\",\"Add (1,2)=47, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,81],[0,4,48],[0,5,85],[0,6,6],[1,2,47],[1,3,55],[1,4,27],[1,5,55],[1,6,21],[2,3,95],[2,5,10],[2,6,51],[3,4,34],[3,5,98],[3,6,73],[4,6,87],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6 Succeeded, w=6\",\"Add (2,5)=10 Succeeded, w=16\",\"Add (1,6)=21 Succeeded, w=37\",\"Add (1,4)=27 Succeeded, w=64\",\"Add (3,4)=34 Succeeded, w=98\",\"Add (1,2)=47 Succeeded, w=145\",\"Add (0,4)=48 Failed, w=145\",\"Add (5,6)=48 Failed, w=145\",\"Add (2,6)=51 Failed, w=145\",\"Add (1,3)=55 Failed, w=145\",\"Add (1,5)=55 Failed, w=145\",\"Add (3,6)=73 Failed, w=145\",\"Add (0,2)=74 Failed, w=145\",\"Add (0,3)=81 Failed, w=145\",\"Add (0,5)=85 Failed, w=145\",\"Add (4,6)=87 Failed, w=145\",\"Add (2,3)=95 Failed, w=145\",\"Add (3,5)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,81],[0,4,48],[0,5,85],[0,6,6],[1,2,47],[1,3,55],[1,4,27],[1,5,55],[1,6,21],[2,3,95],[2,5,10],[2,6,51],[3,4,34],[3,5,98],[3,6,73],[4,6,87],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(2,5)=10,(1,6)=21,(1,4)=27,(3,4)=34,(1,2)=47,(0,4)=48,(5,6)=48,(2,6)=51,(1,3)=55,(1,5)=55,(3,6)=73,(0,2)=74,(0,3)=81,(0,5)=85,(4,6)=87,(2,3)=95,(3,5)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=16\",\"Find(1)=1, Find(6)=0, Add (1,6)=21 Succeeded, w=37\",\"Find(1)=0, Find(4)=4, Add (1,4)=27 Succeeded, w=64\",\"Find(3)=3, Find(4)=0, Add (3,4)=34 Succeeded, w=98\",\"Find(1)=0, Find(2)=2, Add (1,2)=47 Succeeded, w=145\",\"Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=145\",\"Find(5)=0, Find(6)=0, Add (5,6)=48 Failed, w=145\",\"Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=145\",\"Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=145\",\"Find(1)=0, Find(5)=0, Add (1,5)=55 Failed, w=145\",\"Find(3)=0, Find(6)=0, Add (3,6)=73 Failed, w=145\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=145\",\"Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=145\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=145\",\"Find(4)=0, Find(6)=0, Add (4,6)=87 Failed, w=145\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=145\",\"Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,74],[0,3,81],[0,4,48],[0,5,85],[0,6,6],[1,2,47],[1,3,55],[1,4,27],[1,5,55],[1,6,21],[2,3,95],[2,5,10],[2,6,51],[3,4,34],[3,5,98],[3,6,73],[4,6,87],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(2,5)=10,(1,6)=21,(1,4)=27,(3,4)=34,(1,2)=47,(0,4)=48,(5,6)=48,(2,6)=51,(1,3)=55,(1,5)=55,(3,6)=73,(0,2)=74,(0,3)=81,(0,5)=85,(4,6)=87,(2,3)=95,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=21 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0}, Find(1)=0, Find(4)=4, Add (1,4)=27 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0}, Find(3)=3, Find(4)=0, Add (3,4)=34 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(1)=0, Find(2)=2, Add (1,2)=47 Succeeded, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=48 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=55 Failed, w=145\",\"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=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=87 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=145\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,2,29],[0,3,78],[0,4,65],[0,5,88],[1,2,53],[1,4,50],[2,3,97],[2,4,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,29],[0,3,78],[0,4,65],[0,5,88],[1,2,53],[1,4,50],[2,3,97],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":295}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,29],[0,3,78],[0,4,65],[0,5,88],[1,2,53],[1,4,50],[2,3,97],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (0,5)\"],\"Answer\":295}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,29],[0,3,78],[0,4,65],[0,5,88],[1,2,53],[1,4,50],[2,3,97],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=29, w=29\",\"Add (0,1)=50, w=79\",\"Add (1,4)=50, w=129\",\"Add (0,3)=78, w=207\",\"Add (0,5)=88, w=295\"],\"Answer\":295}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,29],[0,3,78],[0,4,65],[0,5,88],[1,2,53],[1,4,50],[2,3,97],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=29 Succeeded, w=29\",\"Add (0,1)=50 Succeeded, w=79\",\"Add (1,4)=50 Succeeded, w=129\",\"Add (1,2)=53 Failed, w=129\",\"Add (0,4)=65 Failed, w=129\",\"Add (0,3)=78 Succeeded, w=207\",\"Add (2,4)=78 Failed, w=207\",\"Add (0,5)=88 Succeeded, w=295\",\"Add (2,3)=97 Failed, w=295\"],\"Answer\":295}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,29],[0,3,78],[0,4,65],[0,5,88],[1,2,53],[1,4,50],[2,3,97],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=29,(0,1)=50,(1,4)=50,(1,2)=53,(0,4)=65,(0,3)=78,(2,4)=78,(0,5)=88,(2,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=79\",\"Find(1)=0, Find(4)=4, Add (1,4)=50 Succeeded, w=129\",\"Find(1)=0, Find(2)=0, Add (1,2)=53 Failed, w=129\",\"Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=129\",\"Find(0)=0, Find(3)=3, Add (0,3)=78 Succeeded, w=207\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=207\",\"Find(0)=0, Find(5)=5, Add (0,5)=88 Succeeded, w=295\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=295\"],\"Answer\":295}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,29],[0,3,78],[0,4,65],[0,5,88],[1,2,53],[1,4,50],[2,3,97],[2,4,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=29,(0,1)=50,(1,4)=50,(1,2)=53,(0,4)=65,(0,3)=78,(2,4)=78,(0,5)=88,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(1)=0, Find(4)=4, Add (1,4)=50 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(1)=0, Find(2)=0, Add (1,2)=53 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=78 Succeeded, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=207\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=88 Succeeded, w=295\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=295\"],\"Answer\":295}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,71],[0,2,28],[0,3,86],[1,2,93],[1,3,79],[2,3,20]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,28],[0,3,86],[1,2,93],[1,3,79],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,28],[0,3,86],[1,2,93],[1,3,79],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,28],[0,3,86],[1,2,93],[1,3,79],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20, w=20\",\"Add (0,2)=28, w=48\",\"Add (0,1)=71, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,28],[0,3,86],[1,2,93],[1,3,79],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=20 Succeeded, w=20\",\"Add (0,2)=28 Succeeded, w=48\",\"Add (0,1)=71 Succeeded, w=119\",\"Add (1,3)=79 Failed, w=119\",\"Add (0,3)=86 Failed, w=119\",\"Add (1,2)=93 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,28],[0,3,86],[1,2,93],[1,3,79],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(0,2)=28,(0,1)=71,(1,3)=79,(0,3)=86,(1,2)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=48\",\"Find(0)=2, Find(1)=1, Add (0,1)=71 Succeeded, w=119\",\"Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=119\",\"Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=119\",\"Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,71],[0,2,28],[0,3,86],[1,2,93],[1,3,79],[2,3,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=20,(0,2)=28,(0,1)=71,(1,3)=79,(0,3)=86,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=20\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=71 Succeeded, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=86 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=93 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,90],[0,4,88],[0,5,48],[1,2,65],[1,4,26],[1,5,67],[1,6,49],[2,3,85],[2,4,75],[4,5,71],[4,6,39]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,90],[0,4,88],[0,5,48],[1,2,65],[1,4,26],[1,5,67],[1,6,49],[2,3,85],[2,4,75],[4,5,71],[4,6,39]]}",
"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],\"edges\":[[0,3,90],[0,4,88],[0,5,48],[1,2,65],[1,4,26],[1,5,67],[1,6,49],[2,3,85],[2,4,75],[4,5,71],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":330}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,90],[0,4,88],[0,5,48],[1,2,65],[1,4,26],[1,5,67],[1,6,49],[2,3,85],[2,4,75],[4,5,71],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=26, w=26\",\"Add (4,6)=39, w=65\",\"Add (0,5)=48, w=113\",\"Add (1,2)=65, w=178\",\"Add (1,5)=67, w=245\",\"Add (2,3)=85, 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],\"edges\":[[0,3,90],[0,4,88],[0,5,48],[1,2,65],[1,4,26],[1,5,67],[1,6,49],[2,3,85],[2,4,75],[4,5,71],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=26 Succeeded, w=26\",\"Add (4,6)=39 Succeeded, w=65\",\"Add (0,5)=48 Succeeded, w=113\",\"Add (1,6)=49 Failed, w=113\",\"Add (1,2)=65 Succeeded, w=178\",\"Add (1,5)=67 Succeeded, w=245\",\"Add (4,5)=71 Failed, w=245\",\"Add (2,4)=75 Failed, w=245\",\"Add (2,3)=85 Succeeded, w=330\",\"Add (0,4)=88 Failed, w=330\",\"Add (0,3)=90 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],\"edges\":[[0,3,90],[0,4,88],[0,5,48],[1,2,65],[1,4,26],[1,5,67],[1,6,49],[2,3,85],[2,4,75],[4,5,71],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=26,(4,6)=39,(0,5)=48,(1,6)=49,(1,2)=65,(1,5)=67,(4,5)=71,(2,4)=75,(2,3)=85,(0,4)=88,(0,3)=90]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=26\",\"Find(4)=1, Find(6)=6, Add (4,6)=39 Succeeded, w=65\",\"Find(0)=0, Find(5)=5, Add (0,5)=48 Succeeded, w=113\",\"Find(1)=1, Find(6)=1, Add (1,6)=49 Failed, w=113\",\"Find(1)=1, Find(2)=2, Add (1,2)=65 Succeeded, w=178\",\"Find(1)=1, Find(5)=0, Add (1,5)=67 Succeeded, w=245\",\"Find(4)=1, Find(5)=1, Add (4,5)=71 Failed, w=245\",\"Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=245\",\"Find(2)=1, Find(3)=3, Add (2,3)=85 Succeeded, w=330\",\"Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=330\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 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],\"edges\":[[0,3,90],[0,4,88],[0,5,48],[1,2,65],[1,4,26],[1,5,67],[1,6,49],[2,3,85],[2,4,75],[4,5,71],[4,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=26,(4,6)=39,(0,5)=48,(1,6)=49,(1,2)=65,(1,5)=67,(4,5)=71,(2,4)=75,(2,3)=85,(0,4)=88,(0,3)=90]\",\"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)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=39 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=48 Succeeded, w=113\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=49 Failed, w=113\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=65 Succeeded, w=178\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(5)=0, Add (1,5)=67 Succeeded, w=245\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=71 Failed, w=245\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=245\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=3, Add (2,3)=85 Succeeded, w=330\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=330\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=330\"],\"Answer\":330}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,52],[0,4,2],[0,5,39],[1,2,3],[1,3,24],[1,4,8],[1,5,80],[2,3,20],[2,4,40],[3,5,48],[4,5,92]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,4,2],[0,5,39],[1,2,3],[1,3,24],[1,4,8],[1,5,80],[2,3,20],[2,4,40],[3,5,48],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,4,2],[0,5,39],[1,2,3],[1,3,24],[1,4,8],[1,5,80],[2,3,20],[2,4,40],[3,5,48],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,5)\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,4,2],[0,5,39],[1,2,3],[1,3,24],[1,4,8],[1,5,80],[2,3,20],[2,4,40],[3,5,48],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (1,2)=3, w=5\",\"Add (1,4)=8, w=13\",\"Add (2,3)=20, w=33\",\"Add (0,5)=39, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,4,2],[0,5,39],[1,2,3],[1,3,24],[1,4,8],[1,5,80],[2,3,20],[2,4,40],[3,5,48],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (1,2)=3 Succeeded, w=5\",\"Add (1,4)=8 Succeeded, w=13\",\"Add (2,3)=20 Succeeded, w=33\",\"Add (1,3)=24 Failed, w=33\",\"Add (0,5)=39 Succeeded, w=72\",\"Add (2,4)=40 Failed, w=72\",\"Add (3,5)=48 Failed, w=72\",\"Add (0,1)=52 Failed, w=72\",\"Add (1,5)=80 Failed, w=72\",\"Add (4,5)=92 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,4,2],[0,5,39],[1,2,3],[1,3,24],[1,4,8],[1,5,80],[2,3,20],[2,4,40],[3,5,48],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(1,2)=3,(1,4)=8,(2,3)=20,(1,3)=24,(0,5)=39,(2,4)=40,(3,5)=48,(0,1)=52,(1,5)=80,(4,5)=92]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=5\",\"Find(1)=1, Find(4)=0, Add (1,4)=8 Succeeded, w=13\",\"Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=33\",\"Find(1)=1, Find(3)=1, Add (1,3)=24 Failed, w=33\",\"Find(0)=1, Find(5)=5, Add (0,5)=39 Succeeded, w=72\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=72\",\"Find(3)=1, Find(5)=1, Add (3,5)=48 Failed, w=72\",\"Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=72\",\"Find(1)=1, Find(5)=1, Add (1,5)=80 Failed, w=72\",\"Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,4,2],[0,5,39],[1,2,3],[1,3,24],[1,4,8],[1,5,80],[2,3,20],[2,4,40],[3,5,48],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(1,2)=3,(1,4)=8,(2,3)=20,(1,3)=24,(0,5)=39,(2,4)=40,(3,5)=48,(0,1)=52,(1,5)=80,(4,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=8 Succeeded, w=13\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(1)=1, Find(3)=1, Add (1,3)=24 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=39 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=48 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=80 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=92 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,26],[0,2,44],[1,2,78],[1,3,37]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,44],[1,2,78],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,44],[1,2,78],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,44],[1,2,78],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=26, w=26\",\"Add (1,3)=37, w=63\",\"Add (0,2)=44, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,44],[1,2,78],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=26 Succeeded, w=26\",\"Add (1,3)=37 Succeeded, w=63\",\"Add (0,2)=44 Succeeded, w=107\",\"Add (1,2)=78 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,44],[1,2,78],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=26,(1,3)=37,(0,2)=44,(1,2)=78]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=26\",\"Find(1)=0, Find(3)=3, Add (1,3)=37 Succeeded, w=63\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=107\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,44],[1,2,78],[1,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=26,(1,3)=37,(0,2)=44,(1,2)=78]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=37 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,41],[0,2,74],[0,3,58],[0,4,96],[1,2,16],[1,3,3],[1,4,49],[2,3,99],[2,4,59]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,74],[0,3,58],[0,4,96],[1,2,16],[1,3,3],[1,4,49],[2,3,99],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,74],[0,3,58],[0,4,96],[1,2,16],[1,3,3],[1,4,49],[2,3,99],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,74],[0,3,58],[0,4,96],[1,2,16],[1,3,3],[1,4,49],[2,3,99],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (1,2)=16, w=19\",\"Add (0,1)=41, w=60\",\"Add (1,4)=49, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,74],[0,3,58],[0,4,96],[1,2,16],[1,3,3],[1,4,49],[2,3,99],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (1,2)=16 Succeeded, w=19\",\"Add (0,1)=41 Succeeded, w=60\",\"Add (1,4)=49 Succeeded, w=109\",\"Add (0,3)=58 Failed, w=109\",\"Add (2,4)=59 Failed, w=109\",\"Add (0,2)=74 Failed, w=109\",\"Add (0,4)=96 Failed, w=109\",\"Add (2,3)=99 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,74],[0,3,58],[0,4,96],[1,2,16],[1,3,3],[1,4,49],[2,3,99],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=16,(0,1)=41,(1,4)=49,(0,3)=58,(2,4)=59,(0,2)=74,(0,4)=96,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=60\",\"Find(1)=1, Find(4)=4, Add (1,4)=49 Succeeded, w=109\",\"Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=109\",\"Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=109\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=109\",\"Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=109\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[0,2,74],[0,3,58],[0,4,96],[1,2,16],[1,3,3],[1,4,49],[2,3,99],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=16,(0,1)=41,(1,4)=49,(0,3)=58,(2,4)=59,(0,2)=74,(0,4)=96,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=49 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=96 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,83],[0,5,32],[0,6,19],[0,7,13],[1,2,14],[1,3,23],[1,4,55],[1,6,90],[1,7,43],[2,3,24],[2,4,1],[2,5,37],[2,6,12],[3,5,24],[3,7,45],[4,6,21],[4,7,38],[5,6,71],[5,7,54],[6,7,96]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,83],[0,5,32],[0,6,19],[0,7,13],[1,2,14],[1,3,23],[1,4,55],[1,6,90],[1,7,43],[2,3,24],[2,4,1],[2,5,37],[2,6,12],[3,5,24],[3,7,45],[4,6,21],[4,7,38],[5,6,71],[5,7,54],[6,7,96]]}",
"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\":[[0,2,83],[0,5,32],[0,6,19],[0,7,13],[1,2,14],[1,3,23],[1,4,55],[1,6,90],[1,7,43],[2,3,24],[2,4,1],[2,5,37],[2,6,12],[3,5,24],[3,7,45],[4,6,21],[4,7,38],[5,6,71],[5,7,54],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,6)\",\"Add (0,7)\",\"Add (1,2)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (3,5)\"],\"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\":[[0,2,83],[0,5,32],[0,6,19],[0,7,13],[1,2,14],[1,3,23],[1,4,55],[1,6,90],[1,7,43],[2,3,24],[2,4,1],[2,5,37],[2,6,12],[3,5,24],[3,7,45],[4,6,21],[4,7,38],[5,6,71],[5,7,54],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (2,6)=12, w=13\",\"Add (0,7)=13, w=26\",\"Add (1,2)=14, w=40\",\"Add (0,6)=19, w=59\",\"Add (1,3)=23, w=82\",\"Add (3,5)=24, 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\":[[0,2,83],[0,5,32],[0,6,19],[0,7,13],[1,2,14],[1,3,23],[1,4,55],[1,6,90],[1,7,43],[2,3,24],[2,4,1],[2,5,37],[2,6,12],[3,5,24],[3,7,45],[4,6,21],[4,7,38],[5,6,71],[5,7,54],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (2,6)=12 Succeeded, w=13\",\"Add (0,7)=13 Succeeded, w=26\",\"Add (1,2)=14 Succeeded, w=40\",\"Add (0,6)=19 Succeeded, w=59\",\"Add (4,6)=21 Failed, w=59\",\"Add (1,3)=23 Succeeded, w=82\",\"Add (2,3)=24 Failed, w=82\",\"Add (3,5)=24 Succeeded, w=106\",\"Add (0,5)=32 Failed, w=106\",\"Add (2,5)=37 Failed, w=106\",\"Add (4,7)=38 Failed, w=106\",\"Add (1,7)=43 Failed, w=106\",\"Add (3,7)=45 Failed, w=106\",\"Add (5,7)=54 Failed, w=106\",\"Add (1,4)=55 Failed, w=106\",\"Add (5,6)=71 Failed, w=106\",\"Add (0,2)=83 Failed, w=106\",\"Add (1,6)=90 Failed, w=106\",\"Add (6,7)=96 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\":[[0,2,83],[0,5,32],[0,6,19],[0,7,13],[1,2,14],[1,3,23],[1,4,55],[1,6,90],[1,7,43],[2,3,24],[2,4,1],[2,5,37],[2,6,12],[3,5,24],[3,7,45],[4,6,21],[4,7,38],[5,6,71],[5,7,54],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(2,6)=12,(0,7)=13,(1,2)=14,(0,6)=19,(4,6)=21,(1,3)=23,(2,3)=24,(3,5)=24,(0,5)=32,(2,5)=37,(4,7)=38,(1,7)=43,(3,7)=45,(5,7)=54,(1,4)=55,(5,6)=71,(0,2)=83,(1,6)=90,(6,7)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=13\",\"Find(0)=0, Find(7)=7, Add (0,7)=13 Succeeded, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=40\",\"Find(0)=0, Find(6)=2, Add (0,6)=19 Succeeded, w=59\",\"Find(4)=0, Find(6)=0, Add (4,6)=21 Failed, w=59\",\"Find(1)=0, Find(3)=3, Add (1,3)=23 Succeeded, w=82\",\"Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=82\",\"Find(3)=0, Find(5)=5, Add (3,5)=24 Succeeded, w=106\",\"Find(0)=0, Find(5)=0, Add (0,5)=32 Failed, w=106\",\"Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=106\",\"Find(4)=0, Find(7)=0, Add (4,7)=38 Failed, w=106\",\"Find(1)=0, Find(7)=0, Add (1,7)=43 Failed, w=106\",\"Find(3)=0, Find(7)=0, Add (3,7)=45 Failed, w=106\",\"Find(5)=0, Find(7)=0, Add (5,7)=54 Failed, w=106\",\"Find(1)=0, Find(4)=0, Add (1,4)=55 Failed, w=106\",\"Find(5)=0, Find(6)=0, Add (5,6)=71 Failed, w=106\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=106\",\"Find(1)=0, Find(6)=0, Add (1,6)=90 Failed, w=106\",\"Find(6)=0, Find(7)=0, Add (6,7)=96 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\":[[0,2,83],[0,5,32],[0,6,19],[0,7,13],[1,2,14],[1,3,23],[1,4,55],[1,6,90],[1,7,43],[2,3,24],[2,4,1],[2,5,37],[2,6,12],[3,5,24],[3,7,45],[4,6,21],[4,7,38],[5,6,71],[5,7,54],[6,7,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(2,6)=12,(0,7)=13,(1,2)=14,(0,6)=19,(4,6)=21,(1,3)=23,(2,3)=24,(3,5)=24,(0,5)=32,(2,5)=37,(4,7)=38,(1,7)=43,(3,7)=45,(5,7)=54,(1,4)=55,(5,6)=71,(0,2)=83,(1,6)=90,(6,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 0}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=40\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 3, 4: 2, 5: 5, 6: 2, 7: 0}, Find(0)=0, Find(6)=2, Add (0,6)=19 Succeeded, w=59\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=21 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=0, Find(3)=3, Add (1,3)=23 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=24 Failed, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=5, Add (3,5)=24 Succeeded, 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)=32 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)=37 Failed, w=106\",\"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=106\",\"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)=43 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)=45 Failed, w=106\",\"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=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)=55 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)=71 Failed, w=106\",\"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)=83 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=90 Failed, w=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)=96 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,45],[0,3,71],[0,4,63],[0,5,70],[1,2,89],[1,3,43],[1,4,92],[2,3,63],[2,4,5],[4,5,61]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,71],[0,4,63],[0,5,70],[1,2,89],[1,3,43],[1,4,92],[2,3,63],[2,4,5],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,71],[0,4,63],[0,5,70],[1,2,89],[1,3,43],[1,4,92],[2,3,63],[2,4,5],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,71],[0,4,63],[0,5,70],[1,2,89],[1,3,43],[1,4,92],[2,3,63],[2,4,5],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (1,3)=43, w=48\",\"Add (0,1)=45, w=93\",\"Add (4,5)=61, w=154\",\"Add (0,4)=63, w=217\"],\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,71],[0,4,63],[0,5,70],[1,2,89],[1,3,43],[1,4,92],[2,3,63],[2,4,5],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (1,3)=43 Succeeded, w=48\",\"Add (0,1)=45 Succeeded, w=93\",\"Add (4,5)=61 Succeeded, w=154\",\"Add (0,4)=63 Succeeded, w=217\",\"Add (2,3)=63 Failed, w=217\",\"Add (0,5)=70 Failed, w=217\",\"Add (0,3)=71 Failed, w=217\",\"Add (1,2)=89 Failed, w=217\",\"Add (1,4)=92 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,71],[0,4,63],[0,5,70],[1,2,89],[1,3,43],[1,4,92],[2,3,63],[2,4,5],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,3)=43,(0,1)=45,(4,5)=61,(0,4)=63,(2,3)=63,(0,5)=70,(0,3)=71,(1,2)=89,(1,4)=92]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=48\",\"Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=93\",\"Find(4)=2, Find(5)=5, Add (4,5)=61 Succeeded, w=154\",\"Find(0)=1, Find(4)=2, Add (0,4)=63 Succeeded, w=217\",\"Find(2)=1, Find(3)=1, Add (2,3)=63 Failed, w=217\",\"Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=217\",\"Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=217\",\"Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=217\",\"Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,3,71],[0,4,63],[0,5,70],[1,2,89],[1,3,43],[1,4,92],[2,3,63],[2,4,5],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,3)=43,(0,1)=45,(4,5)=61,(0,4)=63,(2,3)=63,(0,5)=70,(0,3)=71,(1,2)=89,(1,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=43 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=45 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=61 Succeeded, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(0)=1, Find(4)=2, Add (0,4)=63 Succeeded, w=217\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 2}, Find(2)=1, Find(3)=1, Add (2,3)=63 Failed, w=217\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=217\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=71 Failed, w=217\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=89 Failed, w=217\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=217\"],\"Answer\":217}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,35],[0,2,11],[1,3,53]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,11],[1,3,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,11],[1,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,11],[1,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11, w=11\",\"Add (0,1)=35, w=46\",\"Add (1,3)=53, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,11],[1,3,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11 Succeeded, w=11\",\"Add (0,1)=35 Succeeded, w=46\",\"Add (1,3)=53 Succeeded, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,11],[1,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(0,1)=35,(1,3)=53]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=46\",\"Find(1)=0, Find(3)=3, Add (1,3)=53 Succeeded, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,35],[0,2,11],[1,3,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(0,1)=35,(1,3)=53]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=53 Succeeded, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,50],[0,3,36],[1,2,8],[1,3,98],[2,3,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,36],[1,2,8],[1,3,98],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,36],[1,2,8],[1,3,98],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,36],[1,2,8],[1,3,98],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8, w=8\",\"Add (0,3)=36, w=44\",\"Add (0,1)=50, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,36],[1,2,8],[1,3,98],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8 Succeeded, w=8\",\"Add (0,3)=36 Succeeded, w=44\",\"Add (0,1)=50 Succeeded, w=94\",\"Add (2,3)=63 Failed, w=94\",\"Add (1,3)=98 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,36],[1,2,8],[1,3,98],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,3)=36,(0,1)=50,(2,3)=63,(1,3)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=94\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=94\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,50],[0,3,36],[1,2,8],[1,3,98],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(0,3)=36,(0,1)=50,(2,3)=63,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,53],[0,3,80],[0,4,81],[0,6,97],[1,3,82],[1,4,71],[1,5,37],[1,6,74],[2,3,72],[2,4,98],[2,5,57],[2,6,74],[3,4,59],[3,6,96],[4,5,85],[4,6,53],[5,6,7]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,80],[0,4,81],[0,6,97],[1,3,82],[1,4,71],[1,5,37],[1,6,74],[2,3,72],[2,4,98],[2,5,57],[2,6,74],[3,4,59],[3,6,96],[4,5,85],[4,6,53],[5,6,7]]}",
"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\":[[0,1,53],[0,3,80],[0,4,81],[0,6,97],[1,3,82],[1,4,71],[1,5,37],[1,6,74],[2,3,72],[2,4,98],[2,5,57],[2,6,74],[3,4,59],[3,6,96],[4,5,85],[4,6,53],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (3,4)\"],\"Answer\":266}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,53],[0,3,80],[0,4,81],[0,6,97],[1,3,82],[1,4,71],[1,5,37],[1,6,74],[2,3,72],[2,4,98],[2,5,57],[2,6,74],[3,4,59],[3,6,96],[4,5,85],[4,6,53],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7, w=7\",\"Add (1,5)=37, w=44\",\"Add (0,1)=53, w=97\",\"Add (4,6)=53, w=150\",\"Add (2,5)=57, w=207\",\"Add (3,4)=59, 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\":[[0,1,53],[0,3,80],[0,4,81],[0,6,97],[1,3,82],[1,4,71],[1,5,37],[1,6,74],[2,3,72],[2,4,98],[2,5,57],[2,6,74],[3,4,59],[3,6,96],[4,5,85],[4,6,53],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7 Succeeded, w=7\",\"Add (1,5)=37 Succeeded, w=44\",\"Add (0,1)=53 Succeeded, w=97\",\"Add (4,6)=53 Succeeded, w=150\",\"Add (2,5)=57 Succeeded, w=207\",\"Add (3,4)=59 Succeeded, w=266\",\"Add (1,4)=71 Failed, w=266\",\"Add (2,3)=72 Failed, w=266\",\"Add (1,6)=74 Failed, w=266\",\"Add (2,6)=74 Failed, w=266\",\"Add (0,3)=80 Failed, w=266\",\"Add (0,4)=81 Failed, w=266\",\"Add (1,3)=82 Failed, w=266\",\"Add (4,5)=85 Failed, w=266\",\"Add (3,6)=96 Failed, w=266\",\"Add (0,6)=97 Failed, w=266\",\"Add (2,4)=98 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\":[[0,1,53],[0,3,80],[0,4,81],[0,6,97],[1,3,82],[1,4,71],[1,5,37],[1,6,74],[2,3,72],[2,4,98],[2,5,57],[2,6,74],[3,4,59],[3,6,96],[4,5,85],[4,6,53],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(1,5)=37,(0,1)=53,(4,6)=53,(2,5)=57,(3,4)=59,(1,4)=71,(2,3)=72,(1,6)=74,(2,6)=74,(0,3)=80,(0,4)=81,(1,3)=82,(4,5)=85,(3,6)=96,(0,6)=97,(2,4)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Find(1)=1, Find(5)=5, Add (1,5)=37 Succeeded, w=44\",\"Find(0)=0, Find(1)=5, Add (0,1)=53 Succeeded, w=97\",\"Find(4)=4, Find(6)=5, Add (4,6)=53 Succeeded, w=150\",\"Find(2)=2, Find(5)=5, Add (2,5)=57 Succeeded, w=207\",\"Find(3)=3, Find(4)=5, Add (3,4)=59 Succeeded, w=266\",\"Find(1)=5, Find(4)=5, Add (1,4)=71 Failed, w=266\",\"Find(2)=5, Find(3)=5, Add (2,3)=72 Failed, w=266\",\"Find(1)=5, Find(6)=5, Add (1,6)=74 Failed, w=266\",\"Find(2)=5, Find(6)=5, Add (2,6)=74 Failed, w=266\",\"Find(0)=5, Find(3)=5, Add (0,3)=80 Failed, w=266\",\"Find(0)=5, Find(4)=5, Add (0,4)=81 Failed, w=266\",\"Find(1)=5, Find(3)=5, Add (1,3)=82 Failed, w=266\",\"Find(4)=5, Find(5)=5, Add (4,5)=85 Failed, w=266\",\"Find(3)=5, Find(6)=5, Add (3,6)=96 Failed, w=266\",\"Find(0)=5, Find(6)=5, Add (0,6)=97 Failed, w=266\",\"Find(2)=5, Find(4)=5, Add (2,4)=98 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\":[[0,1,53],[0,3,80],[0,4,81],[0,6,97],[1,3,82],[1,4,71],[1,5,37],[1,6,74],[2,3,72],[2,4,98],[2,5,57],[2,6,74],[3,4,59],[3,6,96],[4,5,85],[4,6,53],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(1,5)=37,(0,1)=53,(4,6)=53,(2,5)=57,(3,4)=59,(1,4)=71,(2,3)=72,(1,6)=74,(2,6)=74,(0,3)=80,(0,4)=81,(1,3)=82,(4,5)=85,(3,6)=96,(0,6)=97,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(1)=1, Find(5)=5, Add (1,5)=37 Succeeded, w=44\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(0)=0, Find(1)=5, Add (0,1)=53 Succeeded, w=97\",\"Parent: {0: 5, 1: 5, 2: 2, 3: 3, 4: 5, 5: 5, 6: 5}, Find(4)=4, Find(6)=5, Add (4,6)=53 Succeeded, w=150\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 5, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=57 Succeeded, w=207\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=3, Find(4)=5, Add (3,4)=59 Succeeded, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(4)=5, Add (1,4)=71 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(3)=5, Add (2,3)=72 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(6)=5, Add (1,6)=74 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(6)=5, Add (2,6)=74 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(3)=5, Add (0,3)=80 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(4)=5, Add (0,4)=81 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(1)=5, Find(3)=5, Add (1,3)=82 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(4)=5, Find(5)=5, Add (4,5)=85 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(3)=5, Find(6)=5, Add (3,6)=96 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(0)=5, Find(6)=5, Add (0,6)=97 Failed, w=266\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5}, Find(2)=5, Find(4)=5, Add (2,4)=98 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,83],[0,2,16],[0,4,35],[0,5,53],[1,2,34],[1,3,1],[1,4,80],[2,3,36],[3,4,19],[3,5,63],[4,5,57]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,16],[0,4,35],[0,5,53],[1,2,34],[1,3,1],[1,4,80],[2,3,36],[3,4,19],[3,5,63],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,16],[0,4,35],[0,5,53],[1,2,34],[1,3,1],[1,4,80],[2,3,36],[3,4,19],[3,5,63],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,5)\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,16],[0,4,35],[0,5,53],[1,2,34],[1,3,1],[1,4,80],[2,3,36],[3,4,19],[3,5,63],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (0,2)=16, w=17\",\"Add (3,4)=19, w=36\",\"Add (1,2)=34, w=70\",\"Add (0,5)=53, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,16],[0,4,35],[0,5,53],[1,2,34],[1,3,1],[1,4,80],[2,3,36],[3,4,19],[3,5,63],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (0,2)=16 Succeeded, w=17\",\"Add (3,4)=19 Succeeded, w=36\",\"Add (1,2)=34 Succeeded, w=70\",\"Add (0,4)=35 Failed, w=70\",\"Add (2,3)=36 Failed, w=70\",\"Add (0,5)=53 Succeeded, w=123\",\"Add (4,5)=57 Failed, w=123\",\"Add (3,5)=63 Failed, w=123\",\"Add (1,4)=80 Failed, w=123\",\"Add (0,1)=83 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,16],[0,4,35],[0,5,53],[1,2,34],[1,3,1],[1,4,80],[2,3,36],[3,4,19],[3,5,63],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,2)=16,(3,4)=19,(1,2)=34,(0,4)=35,(2,3)=36,(0,5)=53,(4,5)=57,(3,5)=63,(1,4)=80,(0,1)=83]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=17\",\"Find(3)=1, Find(4)=4, Add (3,4)=19 Succeeded, w=36\",\"Find(1)=1, Find(2)=0, Add (1,2)=34 Succeeded, w=70\",\"Find(0)=1, Find(4)=1, Add (0,4)=35 Failed, w=70\",\"Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=70\",\"Find(0)=1, Find(5)=5, Add (0,5)=53 Succeeded, w=123\",\"Find(4)=1, Find(5)=1, Add (4,5)=57 Failed, w=123\",\"Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=123\",\"Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=123\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,16],[0,4,35],[0,5,53],[1,2,34],[1,3,1],[1,4,80],[2,3,36],[3,4,19],[3,5,63],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,2)=16,(3,4)=19,(1,2)=34,(0,4)=35,(2,3)=36,(0,5)=53,(4,5)=57,(3,5)=63,(1,4)=80,(0,1)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(3)=1, Find(4)=4, Add (3,4)=19 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(2)=0, Add (1,2)=34 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5}, Find(0)=1, Find(4)=1, Add (0,4)=35 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=5, Add (0,5)=53 Succeeded, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=57 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=80 Failed, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,78],[0,2,32],[0,3,71],[1,2,51],[1,3,95],[2,3,11]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,32],[0,3,71],[1,2,51],[1,3,95],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,32],[0,3,71],[1,2,51],[1,3,95],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,32],[0,3,71],[1,2,51],[1,3,95],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11, w=11\",\"Add (0,2)=32, w=43\",\"Add (1,2)=51, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,32],[0,3,71],[1,2,51],[1,3,95],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=11 Succeeded, w=11\",\"Add (0,2)=32 Succeeded, w=43\",\"Add (1,2)=51 Succeeded, w=94\",\"Add (0,3)=71 Failed, w=94\",\"Add (0,1)=78 Failed, w=94\",\"Add (1,3)=95 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,32],[0,3,71],[1,2,51],[1,3,95],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,2)=32,(1,2)=51,(0,3)=71,(0,1)=78,(1,3)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=43\",\"Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=94\",\"Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=94\",\"Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=94\",\"Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,32],[0,3,71],[1,2,51],[1,3,95],[2,3,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=11,(0,2)=32,(1,2)=51,(0,3)=71,(0,1)=78,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=43\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=94\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=95 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,48],[0,2,89],[0,3,63],[0,6,36],[1,2,87],[1,3,70],[1,4,37],[1,5,0],[1,6,52],[2,3,14],[2,4,46],[2,5,43],[3,4,68],[3,5,68],[3,6,24],[4,5,73],[4,6,30],[5,6,99]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,89],[0,3,63],[0,6,36],[1,2,87],[1,3,70],[1,4,37],[1,5,0],[1,6,52],[2,3,14],[2,4,46],[2,5,43],[3,4,68],[3,5,68],[3,6,24],[4,5,73],[4,6,30],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,89],[0,3,63],[0,6,36],[1,2,87],[1,3,70],[1,4,37],[1,5,0],[1,6,52],[2,3,14],[2,4,46],[2,5,43],[3,4,68],[3,5,68],[3,6,24],[4,5,73],[4,6,30],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,3)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (1,4)\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,89],[0,3,63],[0,6,36],[1,2,87],[1,3,70],[1,4,37],[1,5,0],[1,6,52],[2,3,14],[2,4,46],[2,5,43],[3,4,68],[3,5,68],[3,6,24],[4,5,73],[4,6,30],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (2,3)=14, w=14\",\"Add (3,6)=24, w=38\",\"Add (4,6)=30, w=68\",\"Add (0,6)=36, w=104\",\"Add (1,4)=37, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,89],[0,3,63],[0,6,36],[1,2,87],[1,3,70],[1,4,37],[1,5,0],[1,6,52],[2,3,14],[2,4,46],[2,5,43],[3,4,68],[3,5,68],[3,6,24],[4,5,73],[4,6,30],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (2,3)=14 Succeeded, w=14\",\"Add (3,6)=24 Succeeded, w=38\",\"Add (4,6)=30 Succeeded, w=68\",\"Add (0,6)=36 Succeeded, w=104\",\"Add (1,4)=37 Succeeded, w=141\",\"Add (2,5)=43 Failed, w=141\",\"Add (2,4)=46 Failed, w=141\",\"Add (0,1)=48 Failed, w=141\",\"Add (1,6)=52 Failed, w=141\",\"Add (0,3)=63 Failed, w=141\",\"Add (3,4)=68 Failed, w=141\",\"Add (3,5)=68 Failed, w=141\",\"Add (1,3)=70 Failed, w=141\",\"Add (4,5)=73 Failed, w=141\",\"Add (1,2)=87 Failed, w=141\",\"Add (0,2)=89 Failed, w=141\",\"Add (5,6)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,89],[0,3,63],[0,6,36],[1,2,87],[1,3,70],[1,4,37],[1,5,0],[1,6,52],[2,3,14],[2,4,46],[2,5,43],[3,4,68],[3,5,68],[3,6,24],[4,5,73],[4,6,30],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(2,3)=14,(3,6)=24,(4,6)=30,(0,6)=36,(1,4)=37,(2,5)=43,(2,4)=46,(0,1)=48,(1,6)=52,(0,3)=63,(3,4)=68,(3,5)=68,(1,3)=70,(4,5)=73,(1,2)=87,(0,2)=89,(5,6)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Find(3)=2, Find(6)=6, Add (3,6)=24 Succeeded, w=38\",\"Find(4)=4, Find(6)=2, Add (4,6)=30 Succeeded, w=68\",\"Find(0)=0, Find(6)=2, Add (0,6)=36 Succeeded, w=104\",\"Find(1)=1, Find(4)=2, Add (1,4)=37 Succeeded, w=141\",\"Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=141\",\"Find(2)=1, Find(4)=1, Add (2,4)=46 Failed, w=141\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=141\",\"Find(1)=1, Find(6)=1, Add (1,6)=52 Failed, w=141\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=141\",\"Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=141\",\"Find(3)=1, Find(5)=1, Add (3,5)=68 Failed, w=141\",\"Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=141\",\"Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=141\",\"Find(1)=1, Find(2)=1, Add (1,2)=87 Failed, w=141\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=141\",\"Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,48],[0,2,89],[0,3,63],[0,6,36],[1,2,87],[1,3,70],[1,4,37],[1,5,0],[1,6,52],[2,3,14],[2,4,46],[2,5,43],[3,4,68],[3,5,68],[3,6,24],[4,5,73],[4,6,30],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(2,3)=14,(3,6)=24,(4,6)=30,(0,6)=36,(1,4)=37,(2,5)=43,(2,4)=46,(0,1)=48,(1,6)=52,(0,3)=63,(3,4)=68,(3,5)=68,(1,3)=70,(4,5)=73,(1,2)=87,(0,2)=89,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=24 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=30 Succeeded, w=68\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=36 Succeeded, w=104\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1, 6: 2}, Find(1)=1, Find(4)=2, Add (1,4)=37 Succeeded, w=141\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 2, 5: 1, 6: 2}, Find(2)=1, Find(5)=1, Add (2,5)=43 Failed, w=141\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 2}, Find(2)=1, Find(4)=1, Add (2,4)=46 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=52 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=68 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=68 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=70 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=73 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=87 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,64],[0,2,9],[0,3,55],[1,2,11],[1,3,36],[2,3,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,9],[0,3,55],[1,2,11],[1,3,36],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,9],[0,3,55],[1,2,11],[1,3,36],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,9],[0,3,55],[1,2,11],[1,3,36],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (1,2)=11, w=20\",\"Add (1,3)=36, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,9],[0,3,55],[1,2,11],[1,3,36],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (1,2)=11 Succeeded, w=20\",\"Add (1,3)=36 Succeeded, w=56\",\"Add (0,3)=55 Failed, w=56\",\"Add (0,1)=64 Failed, w=56\",\"Add (2,3)=81 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,9],[0,3,55],[1,2,11],[1,3,36],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(1,2)=11,(1,3)=36,(0,3)=55,(0,1)=64,(2,3)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=20\",\"Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=56\",\"Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=56\",\"Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=56\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,64],[0,2,9],[0,3,55],[1,2,11],[1,3,36],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(1,2)=11,(1,3)=36,(0,3)=55,(0,1)=64,(2,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,26],[0,2,84],[0,3,9],[0,4,79],[0,5,38],[1,3,29],[2,3,65],[2,4,23],[4,5,47]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,84],[0,3,9],[0,4,79],[0,5,38],[1,3,29],[2,3,65],[2,4,23],[4,5,47]]}",
"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\":[[0,1,26],[0,2,84],[0,3,9],[0,4,79],[0,5,38],[1,3,29],[2,3,65],[2,4,23],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (4,5)\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,26],[0,2,84],[0,3,9],[0,4,79],[0,5,38],[1,3,29],[2,3,65],[2,4,23],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (2,4)=23, w=32\",\"Add (0,1)=26, w=58\",\"Add (0,5)=38, w=96\",\"Add (4,5)=47, 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\":[[0,1,26],[0,2,84],[0,3,9],[0,4,79],[0,5,38],[1,3,29],[2,3,65],[2,4,23],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (2,4)=23 Succeeded, w=32\",\"Add (0,1)=26 Succeeded, w=58\",\"Add (1,3)=29 Failed, w=58\",\"Add (0,5)=38 Succeeded, w=96\",\"Add (4,5)=47 Succeeded, w=143\",\"Add (2,3)=65 Failed, w=143\",\"Add (0,4)=79 Failed, w=143\",\"Add (0,2)=84 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\":[[0,1,26],[0,2,84],[0,3,9],[0,4,79],[0,5,38],[1,3,29],[2,3,65],[2,4,23],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(2,4)=23,(0,1)=26,(1,3)=29,(0,5)=38,(4,5)=47,(2,3)=65,(0,4)=79,(0,2)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=58\",\"Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=58\",\"Find(0)=0, Find(5)=5, Add (0,5)=38 Succeeded, w=96\",\"Find(4)=2, Find(5)=0, Add (4,5)=47 Succeeded, w=143\",\"Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=143\",\"Find(0)=2, Find(4)=2, Add (0,4)=79 Failed, w=143\",\"Find(0)=2, Find(2)=2, Add (0,2)=84 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\":[[0,1,26],[0,2,84],[0,3,9],[0,4,79],[0,5,38],[1,3,29],[2,3,65],[2,4,23],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(2,4)=23,(0,1)=26,(1,3)=29,(0,5)=38,(4,5)=47,(2,3)=65,(0,4)=79,(0,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5}, Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=38 Succeeded, w=96\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0}, Find(4)=2, Find(5)=0, Add (4,5)=47 Succeeded, w=143\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0}, Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=143\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(4)=2, Add (0,4)=79 Failed, w=143\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(2)=2, Add (0,2)=84 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,37],[0,6,67],[1,2,14],[1,3,66],[1,5,10],[2,3,24],[3,4,36],[3,5,32],[3,6,35],[4,5,28]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[0,6,67],[1,2,14],[1,3,66],[1,5,10],[2,3,24],[3,4,36],[3,5,32],[3,6,35],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[0,6,67],[1,2,14],[1,3,66],[1,5,10],[2,3,24],[3,4,36],[3,5,32],[3,6,35],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (0,2)\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[0,6,67],[1,2,14],[1,3,66],[1,5,10],[2,3,24],[3,4,36],[3,5,32],[3,6,35],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10, w=10\",\"Add (1,2)=14, w=24\",\"Add (2,3)=24, w=48\",\"Add (4,5)=28, w=76\",\"Add (3,6)=35, w=111\",\"Add (0,2)=37, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[0,6,67],[1,2,14],[1,3,66],[1,5,10],[2,3,24],[3,4,36],[3,5,32],[3,6,35],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10 Succeeded, w=10\",\"Add (1,2)=14 Succeeded, w=24\",\"Add (2,3)=24 Succeeded, w=48\",\"Add (4,5)=28 Succeeded, w=76\",\"Add (3,5)=32 Failed, w=76\",\"Add (3,6)=35 Succeeded, w=111\",\"Add (3,4)=36 Failed, w=111\",\"Add (0,2)=37 Succeeded, w=148\",\"Add (1,3)=66 Failed, w=148\",\"Add (0,6)=67 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[0,6,67],[1,2,14],[1,3,66],[1,5,10],[2,3,24],[3,4,36],[3,5,32],[3,6,35],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(1,2)=14,(2,3)=24,(4,5)=28,(3,5)=32,(3,6)=35,(3,4)=36,(0,2)=37,(1,3)=66,(0,6)=67]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=24\",\"Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=48\",\"Find(4)=4, Find(5)=1, Add (4,5)=28 Succeeded, w=76\",\"Find(3)=1, Find(5)=1, Add (3,5)=32 Failed, w=76\",\"Find(3)=1, Find(6)=6, Add (3,6)=35 Succeeded, w=111\",\"Find(3)=1, Find(4)=1, Add (3,4)=36 Failed, w=111\",\"Find(0)=0, Find(2)=1, Add (0,2)=37 Succeeded, w=148\",\"Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=148\",\"Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,37],[0,6,67],[1,2,14],[1,3,66],[1,5,10],[2,3,24],[3,4,36],[3,5,32],[3,6,35],[4,5,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(1,2)=14,(2,3)=24,(4,5)=28,(3,5)=32,(3,6)=35,(3,4)=36,(0,2)=37,(1,3)=66,(0,6)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(2)=1, Find(3)=3, Add (2,3)=24 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(4)=4, Find(5)=1, Add (4,5)=28 Succeeded, w=76\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6}, Find(3)=1, Find(5)=1, Add (3,5)=32 Failed, w=76\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=35 Succeeded, w=111\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=36 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=37 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=67 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,2,19],[0,4,78],[0,5,74],[1,4,18],[2,3,81],[3,5,37]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,19],[0,4,78],[0,5,74],[1,4,18],[2,3,81],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":226}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,19],[0,4,78],[0,5,74],[1,4,18],[2,3,81],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (0,4)\"],\"Answer\":226}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,19],[0,4,78],[0,5,74],[1,4,18],[2,3,81],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=18, w=18\",\"Add (0,2)=19, w=37\",\"Add (3,5)=37, w=74\",\"Add (0,5)=74, w=148\",\"Add (0,4)=78, w=226\"],\"Answer\":226}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,19],[0,4,78],[0,5,74],[1,4,18],[2,3,81],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=18 Succeeded, w=18\",\"Add (0,2)=19 Succeeded, w=37\",\"Add (3,5)=37 Succeeded, w=74\",\"Add (0,5)=74 Succeeded, w=148\",\"Add (0,4)=78 Succeeded, w=226\",\"Add (2,3)=81 Failed, w=226\",\"Add (0,1)=95 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,19],[0,4,78],[0,5,74],[1,4,18],[2,3,81],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=18,(0,2)=19,(3,5)=37,(0,5)=74,(0,4)=78,(2,3)=81,(0,1)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=37\",\"Find(3)=3, Find(5)=5, Add (3,5)=37 Succeeded, w=74\",\"Find(0)=0, Find(5)=3, Add (0,5)=74 Succeeded, w=148\",\"Find(0)=0, Find(4)=1, Add (0,4)=78 Succeeded, w=226\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=226\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,19],[0,4,78],[0,5,74],[1,4,18],[2,3,81],[3,5,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=18,(0,2)=19,(3,5)=37,(0,5)=74,(0,4)=78,(2,3)=81,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=37 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=74 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 3}, Find(0)=0, Find(4)=1, Add (0,4)=78 Succeeded, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 3}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=226\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 3}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,43],[0,2,46],[1,4,64],[2,4,36],[3,4,73]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,46],[1,4,64],[2,4,36],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,46],[1,4,64],[2,4,36],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,46],[1,4,64],[2,4,36],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=36, w=36\",\"Add (0,1)=43, w=79\",\"Add (0,2)=46, w=125\",\"Add (3,4)=73, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,46],[1,4,64],[2,4,36],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=36 Succeeded, w=36\",\"Add (0,1)=43 Succeeded, w=79\",\"Add (0,2)=46 Succeeded, w=125\",\"Add (1,4)=64 Failed, w=125\",\"Add (3,4)=73 Succeeded, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,46],[1,4,64],[2,4,36],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=36,(0,1)=43,(0,2)=46,(1,4)=64,(3,4)=73]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=36\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=79\",\"Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=125\",\"Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=125\",\"Find(3)=3, Find(4)=0, Add (3,4)=73 Succeeded, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,43],[0,2,46],[1,4,64],[2,4,36],[3,4,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=36,(0,1)=43,(0,2)=46,(1,4)=64,(3,4)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=73 Succeeded, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,98],[0,3,4],[0,5,84],[0,6,48],[1,3,13],[1,4,63],[1,5,55],[1,6,21],[2,3,34],[2,4,75],[2,5,30],[3,5,64],[3,6,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,4],[0,5,84],[0,6,48],[1,3,13],[1,4,63],[1,5,55],[1,6,21],[2,3,34],[2,4,75],[2,5,30],[3,5,64],[3,6,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,4],[0,5,84],[0,6,48],[1,3,13],[1,4,63],[1,5,55],[1,6,21],[2,3,34],[2,4,75],[2,5,30],[3,5,64],[3,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,4],[0,5,84],[0,6,48],[1,3,13],[1,4,63],[1,5,55],[1,6,21],[2,3,34],[2,4,75],[2,5,30],[3,5,64],[3,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (1,3)=13, w=17\",\"Add (1,6)=21, w=38\",\"Add (2,5)=30, w=68\",\"Add (2,3)=34, w=102\",\"Add (1,4)=63, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,4],[0,5,84],[0,6,48],[1,3,13],[1,4,63],[1,5,55],[1,6,21],[2,3,34],[2,4,75],[2,5,30],[3,5,64],[3,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (1,3)=13 Succeeded, w=17\",\"Add (1,6)=21 Succeeded, w=38\",\"Add (2,5)=30 Succeeded, w=68\",\"Add (2,3)=34 Succeeded, w=102\",\"Add (0,6)=48 Failed, w=102\",\"Add (1,5)=55 Failed, w=102\",\"Add (1,4)=63 Succeeded, w=165\",\"Add (3,5)=64 Failed, w=165\",\"Add (2,4)=75 Failed, w=165\",\"Add (0,5)=84 Failed, w=165\",\"Add (3,6)=88 Failed, w=165\",\"Add (0,2)=98 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,4],[0,5,84],[0,6,48],[1,3,13],[1,4,63],[1,5,55],[1,6,21],[2,3,34],[2,4,75],[2,5,30],[3,5,64],[3,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,3)=13,(1,6)=21,(2,5)=30,(2,3)=34,(0,6)=48,(1,5)=55,(1,4)=63,(3,5)=64,(2,4)=75,(0,5)=84,(3,6)=88,(0,2)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=17\",\"Find(1)=0, Find(6)=6, Add (1,6)=21 Succeeded, w=38\",\"Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=68\",\"Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=102\",\"Find(0)=2, Find(6)=2, Add (0,6)=48 Failed, w=102\",\"Find(1)=2, Find(5)=2, Add (1,5)=55 Failed, w=102\",\"Find(1)=2, Find(4)=4, Add (1,4)=63 Succeeded, w=165\",\"Find(3)=2, Find(5)=2, Add (3,5)=64 Failed, w=165\",\"Find(2)=2, Find(4)=2, Add (2,4)=75 Failed, w=165\",\"Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=165\",\"Find(3)=2, Find(6)=2, Add (3,6)=88 Failed, w=165\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,98],[0,3,4],[0,5,84],[0,6,48],[1,3,13],[1,4,63],[1,5,55],[1,6,21],[2,3,34],[2,4,75],[2,5,30],[3,5,64],[3,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,3)=13,(1,6)=21,(2,5)=30,(2,3)=34,(0,6)=48,(1,5)=55,(1,4)=63,(3,5)=64,(2,4)=75,(0,5)=84,(3,6)=88,(0,2)=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)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=21 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 0}, Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=68\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 0}, Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=102\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=48 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 4, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=55 Failed, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=4, Add (1,4)=63 Succeeded, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=64 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=75 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=84 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=88 Failed, w=165\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=165\"],\"Answer\":165}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,49],[0,4,46],[0,6,11],[1,2,16],[1,3,12],[1,4,45],[1,5,16],[2,5,13],[3,4,6],[3,6,3],[4,6,16]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,49],[0,4,46],[0,6,11],[1,2,16],[1,3,12],[1,4,45],[1,5,16],[2,5,13],[3,4,6],[3,6,3],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"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],[0,4,46],[0,6,11],[1,2,16],[1,3,12],[1,4,45],[1,5,16],[2,5,13],[3,4,6],[3,6,3],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (1,2)\"],\"Answer\":61}",
"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],[0,4,46],[0,6,11],[1,2,16],[1,3,12],[1,4,45],[1,5,16],[2,5,13],[3,4,6],[3,6,3],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3, w=3\",\"Add (3,4)=6, w=9\",\"Add (0,6)=11, w=20\",\"Add (1,3)=12, w=32\",\"Add (2,5)=13, w=45\",\"Add (1,2)=16, w=61\"],\"Answer\":61}",
"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],[0,4,46],[0,6,11],[1,2,16],[1,3,12],[1,4,45],[1,5,16],[2,5,13],[3,4,6],[3,6,3],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3 Succeeded, w=3\",\"Add (3,4)=6 Succeeded, w=9\",\"Add (0,6)=11 Succeeded, w=20\",\"Add (1,3)=12 Succeeded, w=32\",\"Add (2,5)=13 Succeeded, w=45\",\"Add (1,2)=16 Succeeded, w=61\",\"Add (1,5)=16 Failed, w=61\",\"Add (4,6)=16 Failed, w=61\",\"Add (1,4)=45 Failed, w=61\",\"Add (0,4)=46 Failed, w=61\",\"Add (0,1)=49 Failed, w=61\"],\"Answer\":61}",
"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],[0,4,46],[0,6,11],[1,2,16],[1,3,12],[1,4,45],[1,5,16],[2,5,13],[3,4,6],[3,6,3],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(3,4)=6,(0,6)=11,(1,3)=12,(2,5)=13,(1,2)=16,(1,5)=16,(4,6)=16,(1,4)=45,(0,4)=46,(0,1)=49]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=9\",\"Find(0)=0, Find(6)=3, Add (0,6)=11 Succeeded, w=20\",\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=32\",\"Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=45\",\"Find(1)=3, Find(2)=2, Add (1,2)=16 Succeeded, w=61\",\"Find(1)=3, Find(5)=3, Add (1,5)=16 Failed, w=61\",\"Find(4)=3, Find(6)=3, Add (4,6)=16 Failed, w=61\",\"Find(1)=3, Find(4)=3, Add (1,4)=45 Failed, w=61\",\"Find(0)=3, Find(4)=3, Add (0,4)=46 Failed, w=61\",\"Find(0)=3, Find(1)=3, Add (0,1)=49 Failed, w=61\"],\"Answer\":61}",
"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],[0,4,46],[0,6,11],[1,2,16],[1,3,12],[1,4,45],[1,5,16],[2,5,13],[3,4,6],[3,6,3],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(3,4)=6,(0,6)=11,(1,3)=12,(2,5)=13,(1,2)=16,(1,5)=16,(4,6)=16,(1,4)=45,(0,4)=46,(0,1)=49]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=9\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=11 Succeeded, w=20\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=32\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 2, 6: 3}, Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=45\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3}, Find(1)=3, Find(2)=2, Add (1,2)=16 Succeeded, w=61\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=16 Failed, w=61\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=16 Failed, w=61\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=45 Failed, w=61\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=46 Failed, w=61\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=49 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,60],[0,2,54],[0,3,93],[0,4,59],[0,5,22],[0,6,43],[0,7,35],[1,2,30],[1,3,39],[1,4,30],[1,5,93],[1,6,86],[1,7,43],[2,3,90],[2,4,98],[2,5,18],[2,6,100],[2,7,15],[3,4,52],[3,5,5],[3,6,41],[3,7,0],[4,5,20],[4,6,22],[4,7,5],[5,6,94],[5,7,11],[6,7,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,60],[0,2,54],[0,3,93],[0,4,59],[0,5,22],[0,6,43],[0,7,35],[1,2,30],[1,3,39],[1,4,30],[1,5,93],[1,6,86],[1,7,43],[2,3,90],[2,4,98],[2,5,18],[2,6,100],[2,7,15],[3,4,52],[3,5,5],[3,6,41],[3,7,0],[4,5,20],[4,6,22],[4,7,5],[5,6,94],[5,7,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "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],[0,2,54],[0,3,93],[0,4,59],[0,5,22],[0,6,43],[0,7,35],[1,2,30],[1,3,39],[1,4,30],[1,5,93],[1,6,86],[1,7,43],[2,3,90],[2,4,98],[2,5,18],[2,6,100],[2,7,15],[3,4,52],[3,5,5],[3,6,41],[3,7,0],[4,5,20],[4,6,22],[4,7,5],[5,6,94],[5,7,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (3,5)\",\"Add (4,7)\",\"Add (2,7)\",\"Add (0,5)\",\"Add (4,6)\",\"Add (1,2)\"],\"Answer\":99}",
"role": "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],[0,2,54],[0,3,93],[0,4,59],[0,5,22],[0,6,43],[0,7,35],[1,2,30],[1,3,39],[1,4,30],[1,5,93],[1,6,86],[1,7,43],[2,3,90],[2,4,98],[2,5,18],[2,6,100],[2,7,15],[3,4,52],[3,5,5],[3,6,41],[3,7,0],[4,5,20],[4,6,22],[4,7,5],[5,6,94],[5,7,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0, w=0\",\"Add (3,5)=5, w=5\",\"Add (4,7)=5, w=10\",\"Add (2,7)=15, w=25\",\"Add (0,5)=22, w=47\",\"Add (4,6)=22, w=69\",\"Add (1,2)=30, w=99\"],\"Answer\":99}",
"role": "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],[0,2,54],[0,3,93],[0,4,59],[0,5,22],[0,6,43],[0,7,35],[1,2,30],[1,3,39],[1,4,30],[1,5,93],[1,6,86],[1,7,43],[2,3,90],[2,4,98],[2,5,18],[2,6,100],[2,7,15],[3,4,52],[3,5,5],[3,6,41],[3,7,0],[4,5,20],[4,6,22],[4,7,5],[5,6,94],[5,7,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=0 Succeeded, w=0\",\"Add (3,5)=5 Succeeded, w=5\",\"Add (4,7)=5 Succeeded, w=10\",\"Add (5,7)=11 Failed, w=10\",\"Add (2,7)=15 Succeeded, w=25\",\"Add (2,5)=18 Failed, w=25\",\"Add (4,5)=20 Failed, w=25\",\"Add (0,5)=22 Succeeded, w=47\",\"Add (4,6)=22 Succeeded, w=69\",\"Add (1,2)=30 Succeeded, w=99\",\"Add (1,4)=30 Failed, w=99\",\"Add (0,7)=35 Failed, w=99\",\"Add (1,3)=39 Failed, w=99\",\"Add (3,6)=41 Failed, w=99\",\"Add (0,6)=43 Failed, w=99\",\"Add (1,7)=43 Failed, w=99\",\"Add (3,4)=52 Failed, w=99\",\"Add (0,2)=54 Failed, w=99\",\"Add (0,4)=59 Failed, w=99\",\"Add (0,1)=60 Failed, w=99\",\"Add (6,7)=78 Failed, w=99\",\"Add (1,6)=86 Failed, w=99\",\"Add (2,3)=90 Failed, w=99\",\"Add (0,3)=93 Failed, w=99\",\"Add (1,5)=93 Failed, w=99\",\"Add (5,6)=94 Failed, w=99\",\"Add (2,4)=98 Failed, w=99\",\"Add (2,6)=100 Failed, w=99\"],\"Answer\":99}",
"role": "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],[0,2,54],[0,3,93],[0,4,59],[0,5,22],[0,6,43],[0,7,35],[1,2,30],[1,3,39],[1,4,30],[1,5,93],[1,6,86],[1,7,43],[2,3,90],[2,4,98],[2,5,18],[2,6,100],[2,7,15],[3,4,52],[3,5,5],[3,6,41],[3,7,0],[4,5,20],[4,6,22],[4,7,5],[5,6,94],[5,7,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(3,5)=5,(4,7)=5,(5,7)=11,(2,7)=15,(2,5)=18,(4,5)=20,(0,5)=22,(4,6)=22,(1,2)=30,(1,4)=30,(0,7)=35,(1,3)=39,(3,6)=41,(0,6)=43,(1,7)=43,(3,4)=52,(0,2)=54,(0,4)=59,(0,1)=60,(6,7)=78,(1,6)=86,(2,3)=90,(0,3)=93,(1,5)=93,(5,6)=94,(2,4)=98,(2,6)=100]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(4)=4, Find(7)=3, Add (4,7)=5 Succeeded, w=10\",\"Find(5)=3, Find(7)=3, Add (5,7)=11 Failed, w=10\",\"Find(2)=2, Find(7)=3, Add (2,7)=15 Succeeded, w=25\",\"Find(2)=3, Find(5)=3, Add (2,5)=18 Failed, w=25\",\"Find(4)=3, Find(5)=3, Add (4,5)=20 Failed, w=25\",\"Find(0)=0, Find(5)=3, Add (0,5)=22 Succeeded, w=47\",\"Find(4)=3, Find(6)=6, Add (4,6)=22 Succeeded, w=69\",\"Find(1)=1, Find(2)=3, Add (1,2)=30 Succeeded, w=99\",\"Find(1)=3, Find(4)=3, Add (1,4)=30 Failed, w=99\",\"Find(0)=3, Find(7)=3, Add (0,7)=35 Failed, w=99\",\"Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=99\",\"Find(3)=3, Find(6)=3, Add (3,6)=41 Failed, w=99\",\"Find(0)=3, Find(6)=3, Add (0,6)=43 Failed, w=99\",\"Find(1)=3, Find(7)=3, Add (1,7)=43 Failed, w=99\",\"Find(3)=3, Find(4)=3, Add (3,4)=52 Failed, w=99\",\"Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=99\",\"Find(0)=3, Find(4)=3, Add (0,4)=59 Failed, w=99\",\"Find(0)=3, Find(1)=3, Add (0,1)=60 Failed, w=99\",\"Find(6)=3, Find(7)=3, Add (6,7)=78 Failed, w=99\",\"Find(1)=3, Find(6)=3, Add (1,6)=86 Failed, w=99\",\"Find(2)=3, Find(3)=3, Add (2,3)=90 Failed, w=99\",\"Find(0)=3, Find(3)=3, Add (0,3)=93 Failed, w=99\",\"Find(1)=3, Find(5)=3, Add (1,5)=93 Failed, w=99\",\"Find(5)=3, Find(6)=3, Add (5,6)=94 Failed, w=99\",\"Find(2)=3, Find(4)=3, Add (2,4)=98 Failed, w=99\",\"Find(2)=3, Find(6)=3, Add (2,6)=100 Failed, w=99\"],\"Answer\":99}",
"role": "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],[0,2,54],[0,3,93],[0,4,59],[0,5,22],[0,6,43],[0,7,35],[1,2,30],[1,3,39],[1,4,30],[1,5,93],[1,6,86],[1,7,43],[2,3,90],[2,4,98],[2,5,18],[2,6,100],[2,7,15],[3,4,52],[3,5,5],[3,6,41],[3,7,0],[4,5,20],[4,6,22],[4,7,5],[5,6,94],[5,7,11],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=0,(3,5)=5,(4,7)=5,(5,7)=11,(2,7)=15,(2,5)=18,(4,5)=20,(0,5)=22,(4,6)=22,(1,2)=30,(1,4)=30,(0,7)=35,(1,3)=39,(3,6)=41,(0,6)=43,(1,7)=43,(3,4)=52,(0,2)=54,(0,4)=59,(0,1)=60,(6,7)=78,(1,6)=86,(2,3)=90,(0,3)=93,(1,5)=93,(5,6)=94,(2,4)=98,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=11 Failed, w=10\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=18 Failed, w=25\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=20 Failed, w=25\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(5)=3, Add (0,5)=22 Succeeded, w=47\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=6, Add (4,6)=22 Succeeded, w=69\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(2)=3, Add (1,2)=30 Succeeded, w=99\",\"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)=30 Failed, w=99\",\"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)=35 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=39 Failed, w=99\",\"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)=41 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=43 Failed, w=99\",\"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)=43 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=52 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=59 Failed, w=99\",\"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)=60 Failed, w=99\",\"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)=78 Failed, w=99\",\"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)=86 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=90 Failed, w=99\",\"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)=93 Failed, w=99\",\"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)=93 Failed, w=99\",\"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)=94 Failed, w=99\",\"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)=98 Failed, w=99\",\"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)=100 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,49],[0,2,50],[0,3,80],[0,4,99],[0,5,68],[1,2,39],[1,3,79],[1,4,33],[1,5,64],[2,3,26],[2,4,44],[2,5,85],[3,4,87],[3,5,66],[4,5,33]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,50],[0,3,80],[0,4,99],[0,5,68],[1,2,39],[1,3,79],[1,4,33],[1,5,64],[2,3,26],[2,4,44],[2,5,85],[3,4,87],[3,5,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,50],[0,3,80],[0,4,99],[0,5,68],[1,2,39],[1,3,79],[1,4,33],[1,5,64],[2,3,26],[2,4,44],[2,5,85],[3,4,87],[3,5,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,50],[0,3,80],[0,4,99],[0,5,68],[1,2,39],[1,3,79],[1,4,33],[1,5,64],[2,3,26],[2,4,44],[2,5,85],[3,4,87],[3,5,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26, w=26\",\"Add (1,4)=33, w=59\",\"Add (4,5)=33, w=92\",\"Add (1,2)=39, w=131\",\"Add (0,1)=49, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,50],[0,3,80],[0,4,99],[0,5,68],[1,2,39],[1,3,79],[1,4,33],[1,5,64],[2,3,26],[2,4,44],[2,5,85],[3,4,87],[3,5,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=26 Succeeded, w=26\",\"Add (1,4)=33 Succeeded, w=59\",\"Add (4,5)=33 Succeeded, w=92\",\"Add (1,2)=39 Succeeded, w=131\",\"Add (2,4)=44 Failed, w=131\",\"Add (0,1)=49 Succeeded, w=180\",\"Add (0,2)=50 Failed, w=180\",\"Add (1,5)=64 Failed, w=180\",\"Add (3,5)=66 Failed, w=180\",\"Add (0,5)=68 Failed, w=180\",\"Add (1,3)=79 Failed, w=180\",\"Add (0,3)=80 Failed, w=180\",\"Add (2,5)=85 Failed, w=180\",\"Add (3,4)=87 Failed, w=180\",\"Add (0,4)=99 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,50],[0,3,80],[0,4,99],[0,5,68],[1,2,39],[1,3,79],[1,4,33],[1,5,64],[2,3,26],[2,4,44],[2,5,85],[3,4,87],[3,5,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(1,4)=33,(4,5)=33,(1,2)=39,(2,4)=44,(0,1)=49,(0,2)=50,(1,5)=64,(3,5)=66,(0,5)=68,(1,3)=79,(0,3)=80,(2,5)=85,(3,4)=87,(0,4)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=59\",\"Find(4)=1, Find(5)=5, Add (4,5)=33 Succeeded, w=92\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=131\",\"Find(2)=1, Find(4)=1, Add (2,4)=44 Failed, w=131\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=180\",\"Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=180\",\"Find(1)=1, Find(5)=1, Add (1,5)=64 Failed, w=180\",\"Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=180\",\"Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=180\",\"Find(1)=1, Find(3)=1, Add (1,3)=79 Failed, w=180\",\"Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=180\",\"Find(2)=1, Find(5)=1, Add (2,5)=85 Failed, w=180\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=180\",\"Find(0)=1, Find(4)=1, Add (0,4)=99 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,50],[0,3,80],[0,4,99],[0,5,68],[1,2,39],[1,3,79],[1,4,33],[1,5,64],[2,3,26],[2,4,44],[2,5,85],[3,4,87],[3,5,66],[4,5,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=26,(1,4)=33,(4,5)=33,(1,2)=39,(2,4)=44,(0,1)=49,(0,2)=50,(1,5)=64,(3,5)=66,(0,5)=68,(1,3)=79,(0,3)=80,(2,5)=85,(3,4)=87,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=33 Succeeded, w=92\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=131\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=44 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=64 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=180\",\"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=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=79 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=80 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=85 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=180\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=99 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,11],[0,4,65],[1,2,6],[1,3,24],[1,4,86],[2,3,73],[2,4,17],[3,4,93]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,11],[0,4,65],[1,2,6],[1,3,24],[1,4,86],[2,3,73],[2,4,17],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,11],[0,4,65],[1,2,6],[1,3,24],[1,4,86],[2,3,73],[2,4,17],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,11],[0,4,65],[1,2,6],[1,3,24],[1,4,86],[2,3,73],[2,4,17],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (0,2)=11, w=17\",\"Add (2,4)=17, w=34\",\"Add (1,3)=24, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,11],[0,4,65],[1,2,6],[1,3,24],[1,4,86],[2,3,73],[2,4,17],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (0,2)=11 Succeeded, w=17\",\"Add (2,4)=17 Succeeded, w=34\",\"Add (1,3)=24 Succeeded, w=58\",\"Add (0,4)=65 Failed, w=58\",\"Add (2,3)=73 Failed, w=58\",\"Add (1,4)=86 Failed, w=58\",\"Add (0,1)=89 Failed, w=58\",\"Add (3,4)=93 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,11],[0,4,65],[1,2,6],[1,3,24],[1,4,86],[2,3,73],[2,4,17],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,2)=11,(2,4)=17,(1,3)=24,(0,4)=65,(2,3)=73,(1,4)=86,(0,1)=89,(3,4)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=17\",\"Find(2)=1, Find(4)=4, Add (2,4)=17 Succeeded, w=34\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=58\",\"Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=58\",\"Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=58\",\"Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=58\",\"Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=58\",\"Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,11],[0,4,65],[1,2,6],[1,3,24],[1,4,86],[2,3,73],[2,4,17],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,2)=11,(2,4)=17,(1,3)=24,(0,4)=65,(2,3)=73,(1,4)=86,(0,1)=89,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=17 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=65 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=73 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=89 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,54],[0,2,13],[0,3,80],[0,4,38],[0,5,1],[0,6,40],[0,7,55],[1,3,27],[1,5,69],[1,6,100],[1,7,100],[2,5,60],[3,4,58],[3,6,1],[3,7,39],[4,5,27],[4,6,18],[5,6,97],[5,7,95],[6,7,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,2,13],[0,3,80],[0,4,38],[0,5,1],[0,6,40],[0,7,55],[1,3,27],[1,5,69],[1,6,100],[1,7,100],[2,5,60],[3,4,58],[3,6,1],[3,7,39],[4,5,27],[4,6,18],[5,6,97],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,2,13],[0,3,80],[0,4,38],[0,5,1],[0,6,40],[0,7,55],[1,3,27],[1,5,69],[1,6,100],[1,7,100],[2,5,60],[3,4,58],[3,6,1],[3,7,39],[4,5,27],[4,6,18],[5,6,97],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (3,7)\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,2,13],[0,3,80],[0,4,38],[0,5,1],[0,6,40],[0,7,55],[1,3,27],[1,5,69],[1,6,100],[1,7,100],[2,5,60],[3,4,58],[3,6,1],[3,7,39],[4,5,27],[4,6,18],[5,6,97],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (3,6)=1, w=2\",\"Add (0,2)=13, w=15\",\"Add (4,6)=18, w=33\",\"Add (1,3)=27, w=60\",\"Add (4,5)=27, w=87\",\"Add (3,7)=39, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,2,13],[0,3,80],[0,4,38],[0,5,1],[0,6,40],[0,7,55],[1,3,27],[1,5,69],[1,6,100],[1,7,100],[2,5,60],[3,4,58],[3,6,1],[3,7,39],[4,5,27],[4,6,18],[5,6,97],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (3,6)=1 Succeeded, w=2\",\"Add (0,2)=13 Succeeded, w=15\",\"Add (4,6)=18 Succeeded, w=33\",\"Add (1,3)=27 Succeeded, w=60\",\"Add (4,5)=27 Succeeded, w=87\",\"Add (0,4)=38 Failed, w=87\",\"Add (3,7)=39 Succeeded, w=126\",\"Add (0,6)=40 Failed, w=126\",\"Add (0,1)=54 Failed, w=126\",\"Add (0,7)=55 Failed, w=126\",\"Add (3,4)=58 Failed, w=126\",\"Add (2,5)=60 Failed, w=126\",\"Add (1,5)=69 Failed, w=126\",\"Add (6,7)=72 Failed, w=126\",\"Add (0,3)=80 Failed, w=126\",\"Add (5,7)=95 Failed, w=126\",\"Add (5,6)=97 Failed, w=126\",\"Add (1,6)=100 Failed, w=126\",\"Add (1,7)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,2,13],[0,3,80],[0,4,38],[0,5,1],[0,6,40],[0,7,55],[1,3,27],[1,5,69],[1,6,100],[1,7,100],[2,5,60],[3,4,58],[3,6,1],[3,7,39],[4,5,27],[4,6,18],[5,6,97],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(3,6)=1,(0,2)=13,(4,6)=18,(1,3)=27,(4,5)=27,(0,4)=38,(3,7)=39,(0,6)=40,(0,1)=54,(0,7)=55,(3,4)=58,(2,5)=60,(1,5)=69,(6,7)=72,(0,3)=80,(5,7)=95,(5,6)=97,(1,6)=100,(1,7)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=15\",\"Find(4)=4, Find(6)=3, Add (4,6)=18 Succeeded, w=33\",\"Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=60\",\"Find(4)=3, Find(5)=0, Add (4,5)=27 Succeeded, w=87\",\"Find(0)=3, Find(4)=3, Add (0,4)=38 Failed, w=87\",\"Find(3)=3, Find(7)=7, Add (3,7)=39 Succeeded, w=126\",\"Find(0)=3, Find(6)=3, Add (0,6)=40 Failed, w=126\",\"Find(0)=3, Find(1)=3, Add (0,1)=54 Failed, w=126\",\"Find(0)=3, Find(7)=3, Add (0,7)=55 Failed, w=126\",\"Find(3)=3, Find(4)=3, Add (3,4)=58 Failed, w=126\",\"Find(2)=3, Find(5)=3, Add (2,5)=60 Failed, w=126\",\"Find(1)=3, Find(5)=3, Add (1,5)=69 Failed, w=126\",\"Find(6)=3, Find(7)=3, Add (6,7)=72 Failed, w=126\",\"Find(0)=3, Find(3)=3, Add (0,3)=80 Failed, w=126\",\"Find(5)=3, Find(7)=3, Add (5,7)=95 Failed, w=126\",\"Find(5)=3, Find(6)=3, Add (5,6)=97 Failed, w=126\",\"Find(1)=3, Find(6)=3, Add (1,6)=100 Failed, w=126\",\"Find(1)=3, Find(7)=3, Add (1,7)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,2,13],[0,3,80],[0,4,38],[0,5,1],[0,6,40],[0,7,55],[1,3,27],[1,5,69],[1,6,100],[1,7,100],[2,5,60],[3,4,58],[3,6,1],[3,7,39],[4,5,27],[4,6,18],[5,6,97],[5,7,95],[6,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(3,6)=1,(0,2)=13,(4,6)=18,(1,3)=27,(4,5)=27,(0,4)=38,(3,7)=39,(0,6)=40,(0,1)=54,(0,7)=55,(3,4)=58,(2,5)=60,(1,5)=69,(6,7)=72,(0,3)=80,(5,7)=95,(5,6)=97,(1,6)=100,(1,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 7}, Find(4)=4, Find(6)=3, Add (4,6)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=60\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 7}, Find(4)=3, Find(5)=0, Add (4,5)=27 Succeeded, w=87\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 7}, Find(0)=3, Find(4)=3, Add (0,4)=38 Failed, w=87\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=39 Succeeded, w=126\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=40 Failed, w=126\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=54 Failed, w=126\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=55 Failed, w=126\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=58 Failed, w=126\",\"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)=60 Failed, w=126\",\"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)=69 Failed, w=126\",\"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)=72 Failed, w=126\",\"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)=80 Failed, w=126\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=95 Failed, w=126\",\"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)=97 Failed, w=126\",\"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)=100 Failed, w=126\",\"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)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,59],[0,2,51],[0,3,73],[1,4,93],[2,3,2],[2,4,4],[3,4,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,51],[0,3,73],[1,4,93],[2,3,2],[2,4,4],[3,4,88]]}",
"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\":[[0,1,59],[0,2,51],[0,3,73],[1,4,93],[2,3,2],[2,4,4],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,51],[0,3,73],[1,4,93],[2,3,2],[2,4,4],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (2,4)=4, w=6\",\"Add (0,2)=51, w=57\",\"Add (0,1)=59, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,51],[0,3,73],[1,4,93],[2,3,2],[2,4,4],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (2,4)=4 Succeeded, w=6\",\"Add (0,2)=51 Succeeded, w=57\",\"Add (0,1)=59 Succeeded, w=116\",\"Add (0,3)=73 Failed, w=116\",\"Add (3,4)=88 Failed, w=116\",\"Add (1,4)=93 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,51],[0,3,73],[1,4,93],[2,3,2],[2,4,4],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(2,4)=4,(0,2)=51,(0,1)=59,(0,3)=73,(3,4)=88,(1,4)=93]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=57\",\"Find(0)=2, Find(1)=1, Add (0,1)=59 Succeeded, w=116\",\"Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=116\",\"Find(3)=2, Find(4)=2, Add (3,4)=88 Failed, w=116\",\"Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,2,51],[0,3,73],[1,4,93],[2,3,2],[2,4,4],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(2,4)=4,(0,2)=51,(0,1)=59,(0,3)=73,(3,4)=88,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=59 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=88 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,37],[0,5,45],[0,6,12],[1,2,73],[1,4,21],[1,6,14],[2,4,33],[2,5,85],[2,6,55],[3,4,82],[3,6,15],[4,5,61],[4,6,42],[5,6,77]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,37],[0,5,45],[0,6,12],[1,2,73],[1,4,21],[1,6,14],[2,4,33],[2,5,85],[2,6,55],[3,4,82],[3,6,15],[4,5,61],[4,6,42],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,37],[0,5,45],[0,6,12],[1,2,73],[1,4,21],[1,6,14],[2,4,33],[2,5,85],[2,6,55],[3,4,82],[3,6,15],[4,5,61],[4,6,42],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,37],[0,5,45],[0,6,12],[1,2,73],[1,4,21],[1,6,14],[2,4,33],[2,5,85],[2,6,55],[3,4,82],[3,6,15],[4,5,61],[4,6,42],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=12, w=12\",\"Add (1,6)=14, w=26\",\"Add (3,6)=15, w=41\",\"Add (1,4)=21, w=62\",\"Add (2,4)=33, w=95\",\"Add (0,5)=45, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,37],[0,5,45],[0,6,12],[1,2,73],[1,4,21],[1,6,14],[2,4,33],[2,5,85],[2,6,55],[3,4,82],[3,6,15],[4,5,61],[4,6,42],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=12 Succeeded, w=12\",\"Add (1,6)=14 Succeeded, w=26\",\"Add (3,6)=15 Succeeded, w=41\",\"Add (1,4)=21 Succeeded, w=62\",\"Add (2,4)=33 Succeeded, w=95\",\"Add (0,4)=37 Failed, w=95\",\"Add (4,6)=42 Failed, w=95\",\"Add (0,5)=45 Succeeded, w=140\",\"Add (2,6)=55 Failed, w=140\",\"Add (4,5)=61 Failed, w=140\",\"Add (1,2)=73 Failed, w=140\",\"Add (5,6)=77 Failed, w=140\",\"Add (3,4)=82 Failed, w=140\",\"Add (2,5)=85 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,37],[0,5,45],[0,6,12],[1,2,73],[1,4,21],[1,6,14],[2,4,33],[2,5,85],[2,6,55],[3,4,82],[3,6,15],[4,5,61],[4,6,42],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=12,(1,6)=14,(3,6)=15,(1,4)=21,(2,4)=33,(0,4)=37,(4,6)=42,(0,5)=45,(2,6)=55,(4,5)=61,(1,2)=73,(5,6)=77,(3,4)=82,(2,5)=85]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=12 Succeeded, w=12\",\"Find(1)=1, Find(6)=0, Add (1,6)=14 Succeeded, w=26\",\"Find(3)=3, Find(6)=0, Add (3,6)=15 Succeeded, w=41\",\"Find(1)=0, Find(4)=4, Add (1,4)=21 Succeeded, w=62\",\"Find(2)=2, Find(4)=0, Add (2,4)=33 Succeeded, w=95\",\"Find(0)=0, Find(4)=0, Add (0,4)=37 Failed, w=95\",\"Find(4)=0, Find(6)=0, Add (4,6)=42 Failed, w=95\",\"Find(0)=0, Find(5)=5, Add (0,5)=45 Succeeded, w=140\",\"Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=140\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=140\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=140\",\"Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=140\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=140\",\"Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,37],[0,5,45],[0,6,12],[1,2,73],[1,4,21],[1,6,14],[2,4,33],[2,5,85],[2,6,55],[3,4,82],[3,6,15],[4,5,61],[4,6,42],[5,6,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=12,(1,6)=14,(3,6)=15,(1,4)=21,(2,4)=33,(0,4)=37,(4,6)=42,(0,5)=45,(2,6)=55,(4,5)=61,(1,2)=73,(5,6)=77,(3,4)=82,(2,5)=85]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=15 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 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, 5: 5, 6: 0}, Find(2)=2, Find(4)=0, Add (2,4)=33 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=37 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=42 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=45 Succeeded, w=140\",\"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=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,78],[0,2,81],[0,3,37],[0,4,5],[0,5,71],[1,2,60],[1,3,39],[1,5,84],[2,3,24],[2,4,32],[2,5,60],[3,4,99],[3,5,27],[4,5,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,81],[0,3,37],[0,4,5],[0,5,71],[1,2,60],[1,3,39],[1,5,84],[2,3,24],[2,4,32],[2,5,60],[3,4,99],[3,5,27],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,81],[0,3,37],[0,4,5],[0,5,71],[1,2,60],[1,3,39],[1,5,84],[2,3,24],[2,4,32],[2,5,60],[3,4,99],[3,5,27],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,81],[0,3,37],[0,4,5],[0,5,71],[1,2,60],[1,3,39],[1,5,84],[2,3,24],[2,4,32],[2,5,60],[3,4,99],[3,5,27],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (2,3)=24, w=29\",\"Add (3,5)=27, w=56\",\"Add (2,4)=32, w=88\",\"Add (1,3)=39, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,81],[0,3,37],[0,4,5],[0,5,71],[1,2,60],[1,3,39],[1,5,84],[2,3,24],[2,4,32],[2,5,60],[3,4,99],[3,5,27],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (2,3)=24 Succeeded, w=29\",\"Add (3,5)=27 Succeeded, w=56\",\"Add (2,4)=32 Succeeded, w=88\",\"Add (0,3)=37 Failed, w=88\",\"Add (1,3)=39 Succeeded, w=127\",\"Add (1,2)=60 Failed, w=127\",\"Add (2,5)=60 Failed, w=127\",\"Add (0,5)=71 Failed, w=127\",\"Add (0,1)=78 Failed, w=127\",\"Add (4,5)=79 Failed, w=127\",\"Add (0,2)=81 Failed, w=127\",\"Add (1,5)=84 Failed, w=127\",\"Add (3,4)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,81],[0,3,37],[0,4,5],[0,5,71],[1,2,60],[1,3,39],[1,5,84],[2,3,24],[2,4,32],[2,5,60],[3,4,99],[3,5,27],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(2,3)=24,(3,5)=27,(2,4)=32,(0,3)=37,(1,3)=39,(1,2)=60,(2,5)=60,(0,5)=71,(0,1)=78,(4,5)=79,(0,2)=81,(1,5)=84,(3,4)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=29\",\"Find(3)=2, Find(5)=5, Add (3,5)=27 Succeeded, w=56\",\"Find(2)=2, Find(4)=0, Add (2,4)=32 Succeeded, w=88\",\"Find(0)=2, Find(3)=2, Add (0,3)=37 Failed, w=88\",\"Find(1)=1, Find(3)=2, Add (1,3)=39 Succeeded, w=127\",\"Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=127\",\"Find(2)=2, Find(5)=2, Add (2,5)=60 Failed, w=127\",\"Find(0)=2, Find(5)=2, Add (0,5)=71 Failed, w=127\",\"Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=127\",\"Find(4)=2, Find(5)=2, Add (4,5)=79 Failed, w=127\",\"Find(0)=2, Find(2)=2, Add (0,2)=81 Failed, w=127\",\"Find(1)=2, Find(5)=2, Add (1,5)=84 Failed, w=127\",\"Find(3)=2, Find(4)=2, Add (3,4)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,78],[0,2,81],[0,3,37],[0,4,5],[0,5,71],[1,2,60],[1,3,39],[1,5,84],[2,3,24],[2,4,32],[2,5,60],[3,4,99],[3,5,27],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(2,3)=24,(3,5)=27,(2,4)=32,(0,3)=37,(1,3)=39,(1,2)=60,(2,5)=60,(0,5)=71,(0,1)=78,(4,5)=79,(0,2)=81,(1,5)=84,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=27 Succeeded, w=56\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(2)=2, Find(4)=0, Add (2,4)=32 Succeeded, w=88\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=37 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=39 Succeeded, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=60 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=71 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=79 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=81 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=84 Failed, w=127\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=99 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,85],[0,2,95],[1,2,83],[1,3,94],[2,3,31]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,95],[1,2,83],[1,3,94],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,95],[1,2,83],[1,3,94],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,95],[1,2,83],[1,3,94],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=31, w=31\",\"Add (1,2)=83, w=114\",\"Add (0,1)=85, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,95],[1,2,83],[1,3,94],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=31 Succeeded, w=31\",\"Add (1,2)=83 Succeeded, w=114\",\"Add (0,1)=85 Succeeded, w=199\",\"Add (1,3)=94 Failed, w=199\",\"Add (0,2)=95 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,95],[1,2,83],[1,3,94],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=31,(1,2)=83,(0,1)=85,(1,3)=94,(0,2)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=31 Succeeded, w=31\",\"Find(1)=1, Find(2)=2, Add (1,2)=83 Succeeded, w=114\",\"Find(0)=0, Find(1)=2, Add (0,1)=85 Succeeded, w=199\",\"Find(1)=2, Find(3)=2, Add (1,3)=94 Failed, w=199\",\"Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,2,95],[1,2,83],[1,3,94],[2,3,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=31,(1,2)=83,(0,1)=85,(1,3)=94,(0,2)=95]\",\"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: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=83 Succeeded, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=85 Succeeded, w=199\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=94 Failed, w=199\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=95 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,23],[0,3,17],[0,4,6],[1,2,97],[1,3,27],[1,4,0],[1,6,95],[2,5,57],[3,5,87],[5,6,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,17],[0,4,6],[1,2,97],[1,3,27],[1,4,0],[1,6,95],[2,5,57],[3,5,87],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,17],[0,4,6],[1,2,97],[1,3,27],[1,4,0],[1,6,95],[2,5,57],[3,5,87],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (5,6)\",\"Add (2,5)\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,17],[0,4,6],[1,2,97],[1,3,27],[1,4,0],[1,6,95],[2,5,57],[3,5,87],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,4)=6, w=6\",\"Add (0,3)=17, w=23\",\"Add (0,2)=23, w=46\",\"Add (5,6)=26, w=72\",\"Add (2,5)=57, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,17],[0,4,6],[1,2,97],[1,3,27],[1,4,0],[1,6,95],[2,5,57],[3,5,87],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,4)=6 Succeeded, w=6\",\"Add (0,3)=17 Succeeded, w=23\",\"Add (0,2)=23 Succeeded, w=46\",\"Add (5,6)=26 Succeeded, w=72\",\"Add (1,3)=27 Failed, w=72\",\"Add (2,5)=57 Succeeded, w=129\",\"Add (3,5)=87 Failed, w=129\",\"Add (1,6)=95 Failed, w=129\",\"Add (1,2)=97 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,17],[0,4,6],[1,2,97],[1,3,27],[1,4,0],[1,6,95],[2,5,57],[3,5,87],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,4)=6,(0,3)=17,(0,2)=23,(5,6)=26,(1,3)=27,(2,5)=57,(3,5)=87,(1,6)=95,(1,2)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=1, Add (0,4)=6 Succeeded, w=6\",\"Find(0)=1, Find(3)=3, Add (0,3)=17 Succeeded, w=23\",\"Find(0)=1, Find(2)=2, Add (0,2)=23 Succeeded, w=46\",\"Find(5)=5, Find(6)=6, Add (5,6)=26 Succeeded, w=72\",\"Find(1)=1, Find(3)=1, Add (1,3)=27 Failed, w=72\",\"Find(2)=1, Find(5)=5, Add (2,5)=57 Succeeded, w=129\",\"Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=129\",\"Find(1)=1, Find(6)=1, Add (1,6)=95 Failed, w=129\",\"Find(1)=1, Find(2)=1, Add (1,2)=97 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,23],[0,3,17],[0,4,6],[1,2,97],[1,3,27],[1,4,0],[1,6,95],[2,5,57],[3,5,87],[5,6,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,4)=6,(0,3)=17,(0,2)=23,(5,6)=26,(1,3)=27,(2,5)=57,(3,5)=87,(1,6)=95,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(4)=1, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=1, Find(3)=3, Add (0,3)=17 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=1, Find(2)=2, Add (0,2)=23 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=26 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 5}, Find(1)=1, Find(3)=1, Add (1,3)=27 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(5)=5, Add (2,5)=57 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=95 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=97 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,47],[0,2,15],[0,3,50],[0,4,21],[0,5,72],[0,6,50],[0,7,39],[1,2,29],[1,3,77],[1,4,51],[1,5,46],[1,6,17],[1,7,84],[2,3,9],[2,4,40],[2,5,69],[2,6,54],[2,7,60],[3,4,40],[3,5,74],[3,6,75],[3,7,63],[4,5,30],[4,6,70],[4,7,59],[5,6,39],[5,7,68],[6,7,42]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,15],[0,3,50],[0,4,21],[0,5,72],[0,6,50],[0,7,39],[1,2,29],[1,3,77],[1,4,51],[1,5,46],[1,6,17],[1,7,84],[2,3,9],[2,4,40],[2,5,69],[2,6,54],[2,7,60],[3,4,40],[3,5,74],[3,6,75],[3,7,63],[4,5,30],[4,6,70],[4,7,59],[5,6,39],[5,7,68],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,15],[0,3,50],[0,4,21],[0,5,72],[0,6,50],[0,7,39],[1,2,29],[1,3,77],[1,4,51],[1,5,46],[1,6,17],[1,7,84],[2,3,9],[2,4,40],[2,5,69],[2,6,54],[2,7,60],[3,4,40],[3,5,74],[3,6,75],[3,7,63],[4,5,30],[4,6,70],[4,7,59],[5,6,39],[5,7,68],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (0,7)\"],\"Answer\":160}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,15],[0,3,50],[0,4,21],[0,5,72],[0,6,50],[0,7,39],[1,2,29],[1,3,77],[1,4,51],[1,5,46],[1,6,17],[1,7,84],[2,3,9],[2,4,40],[2,5,69],[2,6,54],[2,7,60],[3,4,40],[3,5,74],[3,6,75],[3,7,63],[4,5,30],[4,6,70],[4,7,59],[5,6,39],[5,7,68],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9, w=9\",\"Add (0,2)=15, w=24\",\"Add (1,6)=17, w=41\",\"Add (0,4)=21, w=62\",\"Add (1,2)=29, w=91\",\"Add (4,5)=30, w=121\",\"Add (0,7)=39, w=160\"],\"Answer\":160}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,15],[0,3,50],[0,4,21],[0,5,72],[0,6,50],[0,7,39],[1,2,29],[1,3,77],[1,4,51],[1,5,46],[1,6,17],[1,7,84],[2,3,9],[2,4,40],[2,5,69],[2,6,54],[2,7,60],[3,4,40],[3,5,74],[3,6,75],[3,7,63],[4,5,30],[4,6,70],[4,7,59],[5,6,39],[5,7,68],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=9 Succeeded, w=9\",\"Add (0,2)=15 Succeeded, w=24\",\"Add (1,6)=17 Succeeded, w=41\",\"Add (0,4)=21 Succeeded, w=62\",\"Add (1,2)=29 Succeeded, w=91\",\"Add (4,5)=30 Succeeded, w=121\",\"Add (0,7)=39 Succeeded, w=160\",\"Add (5,6)=39 Failed, w=160\",\"Add (2,4)=40 Failed, w=160\",\"Add (3,4)=40 Failed, w=160\",\"Add (6,7)=42 Failed, w=160\",\"Add (1,5)=46 Failed, w=160\",\"Add (0,1)=47 Failed, w=160\",\"Add (0,3)=50 Failed, w=160\",\"Add (0,6)=50 Failed, w=160\",\"Add (1,4)=51 Failed, w=160\",\"Add (2,6)=54 Failed, w=160\",\"Add (4,7)=59 Failed, w=160\",\"Add (2,7)=60 Failed, w=160\",\"Add (3,7)=63 Failed, w=160\",\"Add (5,7)=68 Failed, w=160\",\"Add (2,5)=69 Failed, w=160\",\"Add (4,6)=70 Failed, w=160\",\"Add (0,5)=72 Failed, w=160\",\"Add (3,5)=74 Failed, w=160\",\"Add (3,6)=75 Failed, w=160\",\"Add (1,3)=77 Failed, w=160\",\"Add (1,7)=84 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,15],[0,3,50],[0,4,21],[0,5,72],[0,6,50],[0,7,39],[1,2,29],[1,3,77],[1,4,51],[1,5,46],[1,6,17],[1,7,84],[2,3,9],[2,4,40],[2,5,69],[2,6,54],[2,7,60],[3,4,40],[3,5,74],[3,6,75],[3,7,63],[4,5,30],[4,6,70],[4,7,59],[5,6,39],[5,7,68],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,2)=15,(1,6)=17,(0,4)=21,(1,2)=29,(4,5)=30,(0,7)=39,(5,6)=39,(2,4)=40,(3,4)=40,(6,7)=42,(1,5)=46,(0,1)=47,(0,3)=50,(0,6)=50,(1,4)=51,(2,6)=54,(4,7)=59,(2,7)=60,(3,7)=63,(5,7)=68,(2,5)=69,(4,6)=70,(0,5)=72,(3,5)=74,(3,6)=75,(1,3)=77,(1,7)=84]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=24\",\"Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=41\",\"Find(0)=2, Find(4)=4, Add (0,4)=21 Succeeded, w=62\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=91\",\"Find(4)=1, Find(5)=5, Add (4,5)=30 Succeeded, w=121\",\"Find(0)=1, Find(7)=7, Add (0,7)=39 Succeeded, w=160\",\"Find(5)=1, Find(6)=1, Add (5,6)=39 Failed, w=160\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=160\",\"Find(3)=1, Find(4)=1, Add (3,4)=40 Failed, w=160\",\"Find(6)=1, Find(7)=1, Add (6,7)=42 Failed, w=160\",\"Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=160\",\"Find(0)=1, Find(1)=1, Add (0,1)=47 Failed, w=160\",\"Find(0)=1, Find(3)=1, Add (0,3)=50 Failed, w=160\",\"Find(0)=1, Find(6)=1, Add (0,6)=50 Failed, w=160\",\"Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=160\",\"Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=160\",\"Find(4)=1, Find(7)=1, Add (4,7)=59 Failed, w=160\",\"Find(2)=1, Find(7)=1, Add (2,7)=60 Failed, w=160\",\"Find(3)=1, Find(7)=1, Add (3,7)=63 Failed, w=160\",\"Find(5)=1, Find(7)=1, Add (5,7)=68 Failed, w=160\",\"Find(2)=1, Find(5)=1, Add (2,5)=69 Failed, w=160\",\"Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=160\",\"Find(0)=1, Find(5)=1, Add (0,5)=72 Failed, w=160\",\"Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=160\",\"Find(3)=1, Find(6)=1, Add (3,6)=75 Failed, w=160\",\"Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=160\",\"Find(1)=1, Find(7)=1, Add (1,7)=84 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,15],[0,3,50],[0,4,21],[0,5,72],[0,6,50],[0,7,39],[1,2,29],[1,3,77],[1,4,51],[1,5,46],[1,6,17],[1,7,84],[2,3,9],[2,4,40],[2,5,69],[2,6,54],[2,7,60],[3,4,40],[3,5,74],[3,6,75],[3,7,63],[4,5,30],[4,6,70],[4,7,59],[5,6,39],[5,7,68],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=9,(0,2)=15,(1,6)=17,(0,4)=21,(1,2)=29,(4,5)=30,(0,7)=39,(5,6)=39,(2,4)=40,(3,4)=40,(6,7)=42,(1,5)=46,(0,1)=47,(0,3)=50,(0,6)=50,(1,4)=51,(2,6)=54,(4,7)=59,(2,7)=60,(3,7)=63,(5,7)=68,(2,5)=69,(4,6)=70,(0,5)=72,(3,5)=74,(3,6)=75,(1,3)=77,(1,7)=84]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=24\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=17 Succeeded, w=41\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 1, 7: 7}, Find(0)=2, Find(4)=4, Add (0,4)=21 Succeeded, w=62\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 2, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=91\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 7}, Find(4)=1, Find(5)=5, Add (4,5)=30 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=7, Add (0,7)=39 Succeeded, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=39 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=40 Failed, w=160\",\"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)=42 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=160\",\"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)=47 Failed, w=160\",\"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)=50 Failed, w=160\",\"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)=50 Failed, w=160\",\"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)=51 Failed, w=160\",\"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)=54 Failed, w=160\",\"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)=59 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=60 Failed, w=160\",\"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)=63 Failed, w=160\",\"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)=68 Failed, w=160\",\"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)=69 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=70 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=72 Failed, w=160\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=74 Failed, w=160\",\"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)=75 Failed, w=160\",\"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)=77 Failed, w=160\",\"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)=84 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,86],[0,4,94],[0,5,58],[0,6,74],[1,2,81],[1,3,76],[1,4,39],[1,5,87],[1,6,42],[2,5,16],[2,6,27],[3,4,24],[3,6,20],[4,5,78],[5,6,98]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,94],[0,5,58],[0,6,74],[1,2,81],[1,3,76],[1,4,39],[1,5,87],[1,6,42],[2,5,16],[2,6,27],[3,4,24],[3,6,20],[4,5,78],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,94],[0,5,58],[0,6,74],[1,2,81],[1,3,76],[1,4,39],[1,5,87],[1,6,42],[2,5,16],[2,6,27],[3,4,24],[3,6,20],[4,5,78],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,6)\",\"Add (3,4)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (0,5)\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,94],[0,5,58],[0,6,74],[1,2,81],[1,3,76],[1,4,39],[1,5,87],[1,6,42],[2,5,16],[2,6,27],[3,4,24],[3,6,20],[4,5,78],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=16, w=16\",\"Add (3,6)=20, w=36\",\"Add (3,4)=24, w=60\",\"Add (2,6)=27, w=87\",\"Add (1,4)=39, w=126\",\"Add (0,5)=58, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,94],[0,5,58],[0,6,74],[1,2,81],[1,3,76],[1,4,39],[1,5,87],[1,6,42],[2,5,16],[2,6,27],[3,4,24],[3,6,20],[4,5,78],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=16 Succeeded, w=16\",\"Add (3,6)=20 Succeeded, w=36\",\"Add (3,4)=24 Succeeded, w=60\",\"Add (2,6)=27 Succeeded, w=87\",\"Add (1,4)=39 Succeeded, w=126\",\"Add (1,6)=42 Failed, w=126\",\"Add (0,5)=58 Succeeded, w=184\",\"Add (0,6)=74 Failed, w=184\",\"Add (1,3)=76 Failed, w=184\",\"Add (4,5)=78 Failed, w=184\",\"Add (1,2)=81 Failed, w=184\",\"Add (0,2)=86 Failed, w=184\",\"Add (1,5)=87 Failed, w=184\",\"Add (0,4)=94 Failed, w=184\",\"Add (5,6)=98 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,94],[0,5,58],[0,6,74],[1,2,81],[1,3,76],[1,4,39],[1,5,87],[1,6,42],[2,5,16],[2,6,27],[3,4,24],[3,6,20],[4,5,78],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=16,(3,6)=20,(3,4)=24,(2,6)=27,(1,4)=39,(1,6)=42,(0,5)=58,(0,6)=74,(1,3)=76,(4,5)=78,(1,2)=81,(0,2)=86,(1,5)=87,(0,4)=94,(5,6)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=16\",\"Find(3)=3, Find(6)=6, Add (3,6)=20 Succeeded, w=36\",\"Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=60\",\"Find(2)=2, Find(6)=3, Add (2,6)=27 Succeeded, w=87\",\"Find(1)=1, Find(4)=2, Add (1,4)=39 Succeeded, w=126\",\"Find(1)=2, Find(6)=2, Add (1,6)=42 Failed, w=126\",\"Find(0)=0, Find(5)=2, Add (0,5)=58 Succeeded, w=184\",\"Find(0)=2, Find(6)=2, Add (0,6)=74 Failed, w=184\",\"Find(1)=2, Find(3)=2, Add (1,3)=76 Failed, w=184\",\"Find(4)=2, Find(5)=2, Add (4,5)=78 Failed, w=184\",\"Find(1)=2, Find(2)=2, Add (1,2)=81 Failed, w=184\",\"Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=184\",\"Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=184\",\"Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=184\",\"Find(5)=2, Find(6)=2, Add (5,6)=98 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,86],[0,4,94],[0,5,58],[0,6,74],[1,2,81],[1,3,76],[1,4,39],[1,5,87],[1,6,42],[2,5,16],[2,6,27],[3,4,24],[3,6,20],[4,5,78],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=16,(3,6)=20,(3,4)=24,(2,6)=27,(1,4)=39,(1,6)=42,(0,5)=58,(0,6)=74,(1,3)=76,(4,5)=78,(1,2)=81,(0,2)=86,(1,5)=87,(0,4)=94,(5,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=27 Succeeded, w=87\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(1)=1, Find(4)=2, Add (1,4)=39 Succeeded, w=126\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=42 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(5)=2, Add (0,5)=58 Succeeded, w=184\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=74 Failed, w=184\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=76 Failed, w=184\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=78 Failed, w=184\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=81 Failed, w=184\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=184\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=184\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=184\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=98 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,46],[0,5,60],[1,2,55],[1,3,47],[1,4,95],[1,6,69],[2,3,75],[2,6,72],[3,4,34],[3,5,2],[4,6,80],[5,6,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,46],[0,5,60],[1,2,55],[1,3,47],[1,4,95],[1,6,69],[2,3,75],[2,6,72],[3,4,34],[3,5,2],[4,6,80],[5,6,64]]}",
"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\":[[0,3,46],[0,5,60],[1,2,55],[1,3,47],[1,4,95],[1,6,69],[2,3,75],[2,6,72],[3,4,34],[3,5,2],[4,6,80],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,3)\",\"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\":[[0,3,46],[0,5,60],[1,2,55],[1,3,47],[1,4,95],[1,6,69],[2,3,75],[2,6,72],[3,4,34],[3,5,2],[4,6,80],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (3,4)=34, w=36\",\"Add (0,3)=46, w=82\",\"Add (1,3)=47, w=129\",\"Add (1,2)=55, w=184\",\"Add (5,6)=64, 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\":[[0,3,46],[0,5,60],[1,2,55],[1,3,47],[1,4,95],[1,6,69],[2,3,75],[2,6,72],[3,4,34],[3,5,2],[4,6,80],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (3,4)=34 Succeeded, w=36\",\"Add (0,3)=46 Succeeded, w=82\",\"Add (1,3)=47 Succeeded, w=129\",\"Add (1,2)=55 Succeeded, w=184\",\"Add (0,5)=60 Failed, w=184\",\"Add (5,6)=64 Succeeded, w=248\",\"Add (1,6)=69 Failed, w=248\",\"Add (2,6)=72 Failed, w=248\",\"Add (2,3)=75 Failed, w=248\",\"Add (4,6)=80 Failed, w=248\",\"Add (1,4)=95 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\":[[0,3,46],[0,5,60],[1,2,55],[1,3,47],[1,4,95],[1,6,69],[2,3,75],[2,6,72],[3,4,34],[3,5,2],[4,6,80],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(3,4)=34,(0,3)=46,(1,3)=47,(1,2)=55,(0,5)=60,(5,6)=64,(1,6)=69,(2,6)=72,(2,3)=75,(4,6)=80,(1,4)=95]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=36\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=82\",\"Find(1)=1, Find(3)=3, Add (1,3)=47 Succeeded, w=129\",\"Find(1)=3, Find(2)=2, Add (1,2)=55 Succeeded, w=184\",\"Find(0)=3, Find(5)=3, Add (0,5)=60 Failed, w=184\",\"Find(5)=3, Find(6)=6, Add (5,6)=64 Succeeded, w=248\",\"Find(1)=3, Find(6)=3, Add (1,6)=69 Failed, w=248\",\"Find(2)=3, Find(6)=3, Add (2,6)=72 Failed, w=248\",\"Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=248\",\"Find(4)=3, Find(6)=3, Add (4,6)=80 Failed, w=248\",\"Find(1)=3, Find(4)=3, Add (1,4)=95 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\":[[0,3,46],[0,5,60],[1,2,55],[1,3,47],[1,4,95],[1,6,69],[2,3,75],[2,6,72],[3,4,34],[3,5,2],[4,6,80],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(3,4)=34,(0,3)=46,(1,3)=47,(1,2)=55,(0,5)=60,(5,6)=64,(1,6)=69,(2,6)=72,(2,3)=75,(4,6)=80,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=36\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=82\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=47 Succeeded, w=129\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=3, Find(2)=2, Add (1,2)=55 Succeeded, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=3, Find(5)=3, Add (0,5)=60 Failed, w=184\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=6, Add (5,6)=64 Succeeded, w=248\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=69 Failed, w=248\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=72 Failed, w=248\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=248\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=80 Failed, w=248\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(4)=3, Add (1,4)=95 Failed, w=248\"],\"Answer\":248}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,21],[0,2,6],[0,3,2],[0,4,18],[0,5,2],[1,2,68],[1,4,17],[2,3,21],[2,4,87],[3,5,90],[4,5,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,6],[0,3,2],[0,4,18],[0,5,2],[1,2,68],[1,4,17],[2,3,21],[2,4,87],[3,5,90],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,6],[0,3,2],[0,4,18],[0,5,2],[1,2,68],[1,4,17],[2,3,21],[2,4,87],[3,5,90],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,6],[0,3,2],[0,4,18],[0,5,2],[1,2,68],[1,4,17],[2,3,21],[2,4,87],[3,5,90],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,5)=2, w=4\",\"Add (0,2)=6, w=10\",\"Add (1,4)=17, w=27\",\"Add (0,4)=18, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,6],[0,3,2],[0,4,18],[0,5,2],[1,2,68],[1,4,17],[2,3,21],[2,4,87],[3,5,90],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,5)=2 Succeeded, w=4\",\"Add (0,2)=6 Succeeded, w=10\",\"Add (1,4)=17 Succeeded, w=27\",\"Add (0,4)=18 Succeeded, w=45\",\"Add (0,1)=21 Failed, w=45\",\"Add (2,3)=21 Failed, w=45\",\"Add (4,5)=56 Failed, w=45\",\"Add (1,2)=68 Failed, w=45\",\"Add (2,4)=87 Failed, w=45\",\"Add (3,5)=90 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,6],[0,3,2],[0,4,18],[0,5,2],[1,2,68],[1,4,17],[2,3,21],[2,4,87],[3,5,90],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,5)=2,(0,2)=6,(1,4)=17,(0,4)=18,(0,1)=21,(2,3)=21,(4,5)=56,(1,2)=68,(2,4)=87,(3,5)=90]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=10\",\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=27\",\"Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=45\",\"Find(0)=0, Find(1)=0, Add (0,1)=21 Failed, w=45\",\"Find(2)=0, Find(3)=0, Add (2,3)=21 Failed, w=45\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=45\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=45\",\"Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=45\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,21],[0,2,6],[0,3,2],[0,4,18],[0,5,2],[1,2,68],[1,4,17],[2,3,21],[2,4,87],[3,5,90],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,5)=2,(0,2)=6,(1,4)=17,(0,4)=18,(0,1)=21,(2,3)=21,(4,5)=56,(1,2)=68,(2,4)=87,(3,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=21 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=21 Failed, w=45\",\"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=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=87 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,90],[0,2,87],[0,3,86],[0,5,2],[0,6,67],[0,7,12],[1,3,91],[1,7,74],[2,4,36],[2,5,74],[2,6,86],[2,7,72],[3,4,79],[3,5,96],[3,6,56],[4,6,21],[4,7,76],[5,6,33],[5,7,95],[6,7,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,87],[0,3,86],[0,5,2],[0,6,67],[0,7,12],[1,3,91],[1,7,74],[2,4,36],[2,5,74],[2,6,86],[2,7,72],[3,4,79],[3,5,96],[3,6,56],[4,6,21],[4,7,76],[5,6,33],[5,7,95],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":234}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,87],[0,3,86],[0,5,2],[0,6,67],[0,7,12],[1,3,91],[1,7,74],[2,4,36],[2,5,74],[2,6,86],[2,7,72],[3,4,79],[3,5,96],[3,6,56],[4,6,21],[4,7,76],[5,6,33],[5,7,95],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,7)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (1,7)\"],\"Answer\":234}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,87],[0,3,86],[0,5,2],[0,6,67],[0,7,12],[1,3,91],[1,7,74],[2,4,36],[2,5,74],[2,6,86],[2,7,72],[3,4,79],[3,5,96],[3,6,56],[4,6,21],[4,7,76],[5,6,33],[5,7,95],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (0,7)=12, w=14\",\"Add (4,6)=21, w=35\",\"Add (5,6)=33, w=68\",\"Add (2,4)=36, w=104\",\"Add (3,6)=56, w=160\",\"Add (1,7)=74, w=234\"],\"Answer\":234}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,87],[0,3,86],[0,5,2],[0,6,67],[0,7,12],[1,3,91],[1,7,74],[2,4,36],[2,5,74],[2,6,86],[2,7,72],[3,4,79],[3,5,96],[3,6,56],[4,6,21],[4,7,76],[5,6,33],[5,7,95],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (0,7)=12 Succeeded, w=14\",\"Add (4,6)=21 Succeeded, w=35\",\"Add (5,6)=33 Succeeded, w=68\",\"Add (2,4)=36 Succeeded, w=104\",\"Add (3,6)=56 Succeeded, w=160\",\"Add (0,6)=67 Failed, w=160\",\"Add (2,7)=72 Failed, w=160\",\"Add (1,7)=74 Succeeded, w=234\",\"Add (2,5)=74 Failed, w=234\",\"Add (4,7)=76 Failed, w=234\",\"Add (3,4)=79 Failed, w=234\",\"Add (6,7)=79 Failed, w=234\",\"Add (0,3)=86 Failed, w=234\",\"Add (2,6)=86 Failed, w=234\",\"Add (0,2)=87 Failed, w=234\",\"Add (0,1)=90 Failed, w=234\",\"Add (1,3)=91 Failed, w=234\",\"Add (5,7)=95 Failed, w=234\",\"Add (3,5)=96 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,87],[0,3,86],[0,5,2],[0,6,67],[0,7,12],[1,3,91],[1,7,74],[2,4,36],[2,5,74],[2,6,86],[2,7,72],[3,4,79],[3,5,96],[3,6,56],[4,6,21],[4,7,76],[5,6,33],[5,7,95],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,7)=12,(4,6)=21,(5,6)=33,(2,4)=36,(3,6)=56,(0,6)=67,(2,7)=72,(1,7)=74,(2,5)=74,(4,7)=76,(3,4)=79,(6,7)=79,(0,3)=86,(2,6)=86,(0,2)=87,(0,1)=90,(1,3)=91,(5,7)=95,(3,5)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(7)=7, Add (0,7)=12 Succeeded, w=14\",\"Find(4)=4, Find(6)=6, Add (4,6)=21 Succeeded, w=35\",\"Find(5)=0, Find(6)=4, Add (5,6)=33 Succeeded, w=68\",\"Find(2)=2, Find(4)=0, Add (2,4)=36 Succeeded, w=104\",\"Find(3)=3, Find(6)=0, Add (3,6)=56 Succeeded, w=160\",\"Find(0)=0, Find(6)=0, Add (0,6)=67 Failed, w=160\",\"Find(2)=0, Find(7)=0, Add (2,7)=72 Failed, w=160\",\"Find(1)=1, Find(7)=0, Add (1,7)=74 Succeeded, w=234\",\"Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=234\",\"Find(4)=0, Find(7)=0, Add (4,7)=76 Failed, w=234\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=234\",\"Find(6)=0, Find(7)=0, Add (6,7)=79 Failed, w=234\",\"Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=234\",\"Find(2)=0, Find(6)=0, Add (2,6)=86 Failed, w=234\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=234\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=234\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=234\",\"Find(5)=0, Find(7)=0, Add (5,7)=95 Failed, w=234\",\"Find(3)=0, Find(5)=0, Add (3,5)=96 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,90],[0,2,87],[0,3,86],[0,5,2],[0,6,67],[0,7,12],[1,3,91],[1,7,74],[2,4,36],[2,5,74],[2,6,86],[2,7,72],[3,4,79],[3,5,96],[3,6,56],[4,6,21],[4,7,76],[5,6,33],[5,7,95],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,7)=12,(4,6)=21,(5,6)=33,(2,4)=36,(3,6)=56,(0,6)=67,(2,7)=72,(1,7)=74,(2,5)=74,(4,7)=76,(3,4)=79,(6,7)=79,(0,3)=86,(2,6)=86,(0,2)=87,(0,1)=90,(1,3)=91,(5,7)=95,(3,5)=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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=12 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 4, 7: 0}, Find(4)=4, Find(6)=6, Add (4,6)=21 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 4, 7: 0}, Find(5)=0, Find(6)=4, Add (5,6)=33 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4, 7: 0}, Find(2)=2, Find(4)=0, Add (2,4)=36 Succeeded, w=104\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(6)=0, Add (3,6)=56 Succeeded, w=160\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=67 Failed, w=160\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=72 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=74 Succeeded, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=74 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=76 Failed, w=234\",\"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)=79 Failed, w=234\",\"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)=79 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=234\",\"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)=86 Failed, w=234\",\"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)=87 Failed, w=234\",\"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)=90 Failed, w=234\",\"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)=91 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=95 Failed, w=234\",\"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)=96 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,32],[0,2,20],[0,3,13],[0,5,10],[0,6,88],[1,3,2],[1,4,70],[2,3,77],[2,4,10],[2,6,79],[3,5,60],[4,6,93],[5,6,36]]}
|
[
{
"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],[0,3,13],[0,5,10],[0,6,88],[1,3,2],[1,4,70],[2,3,77],[2,4,10],[2,6,79],[3,5,60],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,20],[0,3,13],[0,5,10],[0,6,88],[1,3,2],[1,4,70],[2,3,77],[2,4,10],[2,6,79],[3,5,60],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (5,6)\"],\"Answer\":91}",
"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],[0,3,13],[0,5,10],[0,6,88],[1,3,2],[1,4,70],[2,3,77],[2,4,10],[2,6,79],[3,5,60],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,5)=10, w=12\",\"Add (2,4)=10, w=22\",\"Add (0,3)=13, w=35\",\"Add (0,2)=20, w=55\",\"Add (5,6)=36, w=91\"],\"Answer\":91}",
"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],[0,3,13],[0,5,10],[0,6,88],[1,3,2],[1,4,70],[2,3,77],[2,4,10],[2,6,79],[3,5,60],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,5)=10 Succeeded, w=12\",\"Add (2,4)=10 Succeeded, w=22\",\"Add (0,3)=13 Succeeded, w=35\",\"Add (0,2)=20 Succeeded, w=55\",\"Add (0,1)=32 Failed, w=55\",\"Add (5,6)=36 Succeeded, w=91\",\"Add (3,5)=60 Failed, w=91\",\"Add (1,4)=70 Failed, w=91\",\"Add (2,3)=77 Failed, w=91\",\"Add (2,6)=79 Failed, w=91\",\"Add (0,6)=88 Failed, w=91\",\"Add (4,6)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,20],[0,3,13],[0,5,10],[0,6,88],[1,3,2],[1,4,70],[2,3,77],[2,4,10],[2,6,79],[3,5,60],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,5)=10,(2,4)=10,(0,3)=13,(0,2)=20,(0,1)=32,(5,6)=36,(3,5)=60,(1,4)=70,(2,3)=77,(2,6)=79,(0,6)=88,(4,6)=93]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=22\",\"Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=35\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=55\",\"Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=55\",\"Find(5)=0, Find(6)=6, Add (5,6)=36 Succeeded, w=91\",\"Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=91\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=91\",\"Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=91\",\"Find(0)=0, Find(6)=0, Add (0,6)=88 Failed, w=91\",\"Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,20],[0,3,13],[0,5,10],[0,6,88],[1,3,2],[1,4,70],[2,3,77],[2,4,10],[2,6,79],[3,5,60],[4,6,93],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,5)=10,(2,4)=10,(0,3)=13,(0,2)=20,(0,1)=32,(5,6)=36,(3,5)=60,(1,4)=70,(2,3)=77,(2,6)=79,(0,6)=88,(4,6)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 0, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 2, 5: 0, 6: 6}, Find(0)=0, Find(3)=1, Add (0,3)=13 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 2, 5: 0, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 2, 5: 0, 6: 6}, Find(0)=0, Find(1)=0, Add (0,1)=32 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 2, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=36 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=88 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,4,52],[1,3,13],[1,4,35],[1,5,32],[2,5,97],[3,5,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,4,52],[1,3,13],[1,4,35],[1,5,32],[2,5,97],[3,5,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,4,52],[1,3,13],[1,4,35],[1,5,32],[2,5,97],[3,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,4,52],[1,3,13],[1,4,35],[1,5,32],[2,5,97],[3,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (1,3)=13, w=19\",\"Add (1,5)=32, w=51\",\"Add (1,4)=35, w=86\",\"Add (2,5)=97, w=183\"],\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,4,52],[1,3,13],[1,4,35],[1,5,32],[2,5,97],[3,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (1,3)=13 Succeeded, w=19\",\"Add (1,5)=32 Succeeded, w=51\",\"Add (1,4)=35 Succeeded, w=86\",\"Add (0,4)=52 Failed, w=86\",\"Add (3,5)=95 Failed, w=86\",\"Add (2,5)=97 Succeeded, w=183\"],\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,4,52],[1,3,13],[1,4,35],[1,5,32],[2,5,97],[3,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,3)=13,(1,5)=32,(1,4)=35,(0,4)=52,(3,5)=95,(2,5)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(1)=0, Find(3)=3, Add (1,3)=13 Succeeded, w=19\",\"Find(1)=0, Find(5)=5, Add (1,5)=32 Succeeded, w=51\",\"Find(1)=0, Find(4)=4, Add (1,4)=35 Succeeded, w=86\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=86\",\"Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=86\",\"Find(2)=2, Find(5)=0, Add (2,5)=97 Succeeded, w=183\"],\"Answer\":183}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,4,52],[1,3,13],[1,4,35],[1,5,32],[2,5,97],[3,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,3)=13,(1,5)=32,(1,4)=35,(0,4)=52,(3,5)=95,(2,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=0, Find(3)=3, Add (1,3)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=32 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=35 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=97 Succeeded, w=183\"],\"Answer\":183}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,26],[0,2,41],[0,3,70],[1,2,82],[1,3,87],[2,3,17]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,41],[0,3,70],[1,2,82],[1,3,87],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,41],[0,3,70],[1,2,82],[1,3,87],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,41],[0,3,70],[1,2,82],[1,3,87],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=17, w=17\",\"Add (0,1)=26, w=43\",\"Add (0,2)=41, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,41],[0,3,70],[1,2,82],[1,3,87],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=17 Succeeded, w=17\",\"Add (0,1)=26 Succeeded, w=43\",\"Add (0,2)=41 Succeeded, w=84\",\"Add (0,3)=70 Failed, w=84\",\"Add (1,2)=82 Failed, w=84\",\"Add (1,3)=87 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,41],[0,3,70],[1,2,82],[1,3,87],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=17,(0,1)=26,(0,2)=41,(0,3)=70,(1,2)=82,(1,3)=87]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=43\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=84\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=84\",\"Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=84\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,26],[0,2,41],[0,3,70],[1,2,82],[1,3,87],[2,3,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=17,(0,1)=26,(0,2)=41,(0,3)=70,(1,2)=82,(1,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=82 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,18],[0,5,89],[1,2,91],[1,4,34],[1,5,98],[2,4,8],[2,5,88],[2,6,60],[3,4,59],[3,5,34],[3,6,15],[4,5,60],[5,6,61]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,5,89],[1,2,91],[1,4,34],[1,5,98],[2,4,8],[2,5,88],[2,6,60],[3,4,59],[3,5,34],[3,6,15],[4,5,60],[5,6,61]]}",
"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\":[[0,2,18],[0,5,89],[1,2,91],[1,4,34],[1,5,98],[2,4,8],[2,5,88],[2,6,60],[3,4,59],[3,5,34],[3,6,15],[4,5,60],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (3,4)\"],\"Answer\":168}",
"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],[0,5,89],[1,2,91],[1,4,34],[1,5,98],[2,4,8],[2,5,88],[2,6,60],[3,4,59],[3,5,34],[3,6,15],[4,5,60],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8, w=8\",\"Add (3,6)=15, w=23\",\"Add (0,2)=18, w=41\",\"Add (1,4)=34, w=75\",\"Add (3,5)=34, w=109\",\"Add (3,4)=59, 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\":[[0,2,18],[0,5,89],[1,2,91],[1,4,34],[1,5,98],[2,4,8],[2,5,88],[2,6,60],[3,4,59],[3,5,34],[3,6,15],[4,5,60],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8 Succeeded, w=8\",\"Add (3,6)=15 Succeeded, w=23\",\"Add (0,2)=18 Succeeded, w=41\",\"Add (1,4)=34 Succeeded, w=75\",\"Add (3,5)=34 Succeeded, w=109\",\"Add (3,4)=59 Succeeded, w=168\",\"Add (2,6)=60 Failed, w=168\",\"Add (4,5)=60 Failed, w=168\",\"Add (5,6)=61 Failed, w=168\",\"Add (2,5)=88 Failed, w=168\",\"Add (0,5)=89 Failed, w=168\",\"Add (1,2)=91 Failed, w=168\",\"Add (1,5)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,5,89],[1,2,91],[1,4,34],[1,5,98],[2,4,8],[2,5,88],[2,6,60],[3,4,59],[3,5,34],[3,6,15],[4,5,60],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(3,6)=15,(0,2)=18,(1,4)=34,(3,5)=34,(3,4)=59,(2,6)=60,(4,5)=60,(5,6)=61,(2,5)=88,(0,5)=89,(1,2)=91,(1,5)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=41\",\"Find(1)=1, Find(4)=2, Add (1,4)=34 Succeeded, w=75\",\"Find(3)=3, Find(5)=5, Add (3,5)=34 Succeeded, w=109\",\"Find(3)=3, Find(4)=2, Add (3,4)=59 Succeeded, w=168\",\"Find(2)=3, Find(6)=3, Add (2,6)=60 Failed, w=168\",\"Find(4)=3, Find(5)=3, Add (4,5)=60 Failed, w=168\",\"Find(5)=3, Find(6)=3, Add (5,6)=61 Failed, w=168\",\"Find(2)=3, Find(5)=3, Add (2,5)=88 Failed, w=168\",\"Find(0)=3, Find(5)=3, Add (0,5)=89 Failed, w=168\",\"Find(1)=3, Find(2)=3, Add (1,2)=91 Failed, w=168\",\"Find(1)=3, Find(5)=3, Add (1,5)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,18],[0,5,89],[1,2,91],[1,4,34],[1,5,98],[2,4,8],[2,5,88],[2,6,60],[3,4,59],[3,5,34],[3,6,15],[4,5,60],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(3,6)=15,(0,2)=18,(1,4)=34,(3,5)=34,(3,4)=59,(2,6)=60,(4,5)=60,(5,6)=61,(2,5)=88,(0,5)=89,(1,2)=91,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=23\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3}, Find(1)=1, Find(4)=2, Add (1,4)=34 Succeeded, w=75\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=34 Succeeded, w=109\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(3)=3, Find(4)=2, Add (3,4)=59 Succeeded, w=168\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 2, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=60 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=60 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=61 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=88 Failed, w=168\",\"Parent: {0: 3, 1: 2, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=89 Failed, w=168\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=91 Failed, w=168\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,88],[0,2,6],[0,3,52],[0,4,12],[0,5,68],[1,3,35],[1,4,50],[1,5,88],[2,3,36],[2,4,49],[2,5,22],[3,5,98],[4,5,4]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,6],[0,3,52],[0,4,12],[0,5,68],[1,3,35],[1,4,50],[1,5,88],[2,3,36],[2,4,49],[2,5,22],[3,5,98],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,6],[0,3,52],[0,4,12],[0,5,68],[1,3,35],[1,4,50],[1,5,88],[2,3,36],[2,4,49],[2,5,22],[3,5,98],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,6],[0,3,52],[0,4,12],[0,5,68],[1,3,35],[1,4,50],[1,5,88],[2,3,36],[2,4,49],[2,5,22],[3,5,98],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4, w=4\",\"Add (0,2)=6, w=10\",\"Add (0,4)=12, w=22\",\"Add (1,3)=35, w=57\",\"Add (2,3)=36, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,6],[0,3,52],[0,4,12],[0,5,68],[1,3,35],[1,4,50],[1,5,88],[2,3,36],[2,4,49],[2,5,22],[3,5,98],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=4 Succeeded, w=4\",\"Add (0,2)=6 Succeeded, w=10\",\"Add (0,4)=12 Succeeded, w=22\",\"Add (2,5)=22 Failed, w=22\",\"Add (1,3)=35 Succeeded, w=57\",\"Add (2,3)=36 Succeeded, w=93\",\"Add (2,4)=49 Failed, w=93\",\"Add (1,4)=50 Failed, w=93\",\"Add (0,3)=52 Failed, w=93\",\"Add (0,5)=68 Failed, w=93\",\"Add (0,1)=88 Failed, w=93\",\"Add (1,5)=88 Failed, w=93\",\"Add (3,5)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,6],[0,3,52],[0,4,12],[0,5,68],[1,3,35],[1,4,50],[1,5,88],[2,3,36],[2,4,49],[2,5,22],[3,5,98],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(0,2)=6,(0,4)=12,(2,5)=22,(1,3)=35,(2,3)=36,(2,4)=49,(1,4)=50,(0,3)=52,(0,5)=68,(0,1)=88,(1,5)=88,(3,5)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=22\",\"Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=57\",\"Find(2)=0, Find(3)=1, Add (2,3)=36 Succeeded, w=93\",\"Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=93\",\"Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=93\",\"Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=93\",\"Find(0)=0, Find(5)=0, Add (0,5)=68 Failed, w=93\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=93\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=93\",\"Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,88],[0,2,6],[0,3,52],[0,4,12],[0,5,68],[1,3,35],[1,4,50],[1,5,88],[2,3,36],[2,4,49],[2,5,22],[3,5,98],[4,5,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=4,(0,2)=6,(0,4)=12,(2,5)=22,(1,3)=35,(2,3)=36,(2,4)=49,(1,4)=50,(0,3)=52,(0,5)=68,(0,1)=88,(1,5)=88,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=22 Failed, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=1, Find(3)=3, Add (1,3)=35 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(3)=1, Add (2,3)=36 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=49 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=50 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=52 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=68 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,68],[0,3,18],[0,4,87],[0,6,82],[1,3,79],[1,5,99],[1,7,63],[2,4,11],[2,6,18],[2,7,29],[3,5,49],[4,6,88],[6,7,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,3,18],[0,4,87],[0,6,82],[1,3,79],[1,5,99],[1,7,63],[2,4,11],[2,6,18],[2,7,29],[3,5,49],[4,6,88],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":256}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,3,18],[0,4,87],[0,6,82],[1,3,79],[1,5,99],[1,7,63],[2,4,11],[2,6,18],[2,7,29],[3,5,49],[4,6,88],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (2,7)\",\"Add (3,5)\",\"Add (1,7)\",\"Add (0,1)\"],\"Answer\":256}",
"role": "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],[0,3,18],[0,4,87],[0,6,82],[1,3,79],[1,5,99],[1,7,63],[2,4,11],[2,6,18],[2,7,29],[3,5,49],[4,6,88],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11, w=11\",\"Add (0,3)=18, w=29\",\"Add (2,6)=18, w=47\",\"Add (2,7)=29, w=76\",\"Add (3,5)=49, w=125\",\"Add (1,7)=63, w=188\",\"Add (0,1)=68, w=256\"],\"Answer\":256}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,3,18],[0,4,87],[0,6,82],[1,3,79],[1,5,99],[1,7,63],[2,4,11],[2,6,18],[2,7,29],[3,5,49],[4,6,88],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=11 Succeeded, w=11\",\"Add (0,3)=18 Succeeded, w=29\",\"Add (2,6)=18 Succeeded, w=47\",\"Add (2,7)=29 Succeeded, w=76\",\"Add (3,5)=49 Succeeded, w=125\",\"Add (1,7)=63 Succeeded, w=188\",\"Add (0,1)=68 Succeeded, w=256\",\"Add (1,3)=79 Failed, w=256\",\"Add (6,7)=81 Failed, w=256\",\"Add (0,6)=82 Failed, w=256\",\"Add (0,4)=87 Failed, w=256\",\"Add (4,6)=88 Failed, w=256\",\"Add (1,5)=99 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,3,18],[0,4,87],[0,6,82],[1,3,79],[1,5,99],[1,7,63],[2,4,11],[2,6,18],[2,7,29],[3,5,49],[4,6,88],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(0,3)=18,(2,6)=18,(2,7)=29,(3,5)=49,(1,7)=63,(0,1)=68,(1,3)=79,(6,7)=81,(0,6)=82,(0,4)=87,(4,6)=88,(1,5)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=29\",\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=47\",\"Find(2)=2, Find(7)=7, Add (2,7)=29 Succeeded, w=76\",\"Find(3)=0, Find(5)=5, Add (3,5)=49 Succeeded, w=125\",\"Find(1)=1, Find(7)=2, Add (1,7)=63 Succeeded, w=188\",\"Find(0)=0, Find(1)=2, Add (0,1)=68 Succeeded, w=256\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=256\",\"Find(6)=0, Find(7)=0, Add (6,7)=81 Failed, w=256\",\"Find(0)=0, Find(6)=0, Add (0,6)=82 Failed, w=256\",\"Find(0)=0, Find(4)=0, Add (0,4)=87 Failed, w=256\",\"Find(4)=0, Find(6)=0, Add (4,6)=88 Failed, w=256\",\"Find(1)=0, Find(5)=0, Add (1,5)=99 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,3,18],[0,4,87],[0,6,82],[1,3,79],[1,5,99],[1,7,63],[2,4,11],[2,6,18],[2,7,29],[3,5,49],[4,6,88],[6,7,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=11,(0,3)=18,(2,6)=18,(2,7)=29,(3,5)=49,(1,7)=63,(0,1)=68,(1,3)=79,(6,7)=81,(0,6)=82,(0,4)=87,(4,6)=88,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=29 Succeeded, w=76\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2, 7: 2}, Find(3)=0, Find(5)=5, Add (3,5)=49 Succeeded, w=125\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=63 Succeeded, w=188\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=0, Find(1)=2, Add (0,1)=68 Succeeded, w=256\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=256\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=81 Failed, w=256\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=82 Failed, w=256\",\"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)=87 Failed, w=256\",\"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)=88 Failed, w=256\",\"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)=99 Failed, w=256\"],\"Answer\":256}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,41],[0,2,37],[0,3,89],[0,4,44],[0,5,30],[0,6,23],[0,7,21],[1,2,21],[1,3,72],[1,4,7],[1,6,41],[1,7,0],[2,4,98],[2,6,21],[2,7,94],[3,4,96],[3,5,63],[3,6,39],[3,7,38],[4,5,64],[4,6,81],[4,7,27],[5,6,80],[5,7,73]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,37],[0,3,89],[0,4,44],[0,5,30],[0,6,23],[0,7,21],[1,2,21],[1,3,72],[1,4,7],[1,6,41],[1,7,0],[2,4,98],[2,6,21],[2,7,94],[3,4,96],[3,5,63],[3,6,39],[3,7,38],[4,5,64],[4,6,81],[4,7,27],[5,6,80],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,37],[0,3,89],[0,4,44],[0,5,30],[0,6,23],[0,7,21],[1,2,21],[1,3,72],[1,4,7],[1,6,41],[1,7,0],[2,4,98],[2,6,21],[2,7,94],[3,4,96],[3,5,63],[3,6,39],[3,7,38],[4,5,64],[4,6,81],[4,7,27],[5,6,80],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (1,4)\",\"Add (0,7)\",\"Add (1,2)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (3,7)\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,37],[0,3,89],[0,4,44],[0,5,30],[0,6,23],[0,7,21],[1,2,21],[1,3,72],[1,4,7],[1,6,41],[1,7,0],[2,4,98],[2,6,21],[2,7,94],[3,4,96],[3,5,63],[3,6,39],[3,7,38],[4,5,64],[4,6,81],[4,7,27],[5,6,80],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0, w=0\",\"Add (1,4)=7, w=7\",\"Add (0,7)=21, w=28\",\"Add (1,2)=21, w=49\",\"Add (2,6)=21, w=70\",\"Add (0,5)=30, w=100\",\"Add (3,7)=38, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,37],[0,3,89],[0,4,44],[0,5,30],[0,6,23],[0,7,21],[1,2,21],[1,3,72],[1,4,7],[1,6,41],[1,7,0],[2,4,98],[2,6,21],[2,7,94],[3,4,96],[3,5,63],[3,6,39],[3,7,38],[4,5,64],[4,6,81],[4,7,27],[5,6,80],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=0 Succeeded, w=0\",\"Add (1,4)=7 Succeeded, w=7\",\"Add (0,7)=21 Succeeded, w=28\",\"Add (1,2)=21 Succeeded, w=49\",\"Add (2,6)=21 Succeeded, w=70\",\"Add (0,6)=23 Failed, w=70\",\"Add (4,7)=27 Failed, w=70\",\"Add (0,5)=30 Succeeded, w=100\",\"Add (0,2)=37 Failed, w=100\",\"Add (3,7)=38 Succeeded, w=138\",\"Add (3,6)=39 Failed, w=138\",\"Add (0,1)=41 Failed, w=138\",\"Add (1,6)=41 Failed, w=138\",\"Add (0,4)=44 Failed, w=138\",\"Add (3,5)=63 Failed, w=138\",\"Add (4,5)=64 Failed, w=138\",\"Add (1,3)=72 Failed, w=138\",\"Add (5,7)=73 Failed, w=138\",\"Add (5,6)=80 Failed, w=138\",\"Add (4,6)=81 Failed, w=138\",\"Add (0,3)=89 Failed, w=138\",\"Add (2,7)=94 Failed, w=138\",\"Add (3,4)=96 Failed, w=138\",\"Add (2,4)=98 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,37],[0,3,89],[0,4,44],[0,5,30],[0,6,23],[0,7,21],[1,2,21],[1,3,72],[1,4,7],[1,6,41],[1,7,0],[2,4,98],[2,6,21],[2,7,94],[3,4,96],[3,5,63],[3,6,39],[3,7,38],[4,5,64],[4,6,81],[4,7,27],[5,6,80],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(1,4)=7,(0,7)=21,(1,2)=21,(2,6)=21,(0,6)=23,(4,7)=27,(0,5)=30,(0,2)=37,(3,7)=38,(3,6)=39,(0,1)=41,(1,6)=41,(0,4)=44,(3,5)=63,(4,5)=64,(1,3)=72,(5,7)=73,(5,6)=80,(4,6)=81,(0,3)=89,(2,7)=94,(3,4)=96,(2,4)=98]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(7)=1, Add (0,7)=21 Succeeded, w=28\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=49\",\"Find(2)=1, Find(6)=6, Add (2,6)=21 Succeeded, w=70\",\"Find(0)=1, Find(6)=1, Add (0,6)=23 Failed, w=70\",\"Find(4)=1, Find(7)=1, Add (4,7)=27 Failed, w=70\",\"Find(0)=1, Find(5)=5, Add (0,5)=30 Succeeded, w=100\",\"Find(0)=1, Find(2)=1, Add (0,2)=37 Failed, w=100\",\"Find(3)=3, Find(7)=1, Add (3,7)=38 Succeeded, w=138\",\"Find(3)=1, Find(6)=1, Add (3,6)=39 Failed, w=138\",\"Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=138\",\"Find(1)=1, Find(6)=1, Add (1,6)=41 Failed, w=138\",\"Find(0)=1, Find(4)=1, Add (0,4)=44 Failed, w=138\",\"Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=138\",\"Find(4)=1, Find(5)=1, Add (4,5)=64 Failed, w=138\",\"Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=138\",\"Find(5)=1, Find(7)=1, Add (5,7)=73 Failed, w=138\",\"Find(5)=1, Find(6)=1, Add (5,6)=80 Failed, w=138\",\"Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=138\",\"Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=138\",\"Find(2)=1, Find(7)=1, Add (2,7)=94 Failed, w=138\",\"Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=138\",\"Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,41],[0,2,37],[0,3,89],[0,4,44],[0,5,30],[0,6,23],[0,7,21],[1,2,21],[1,3,72],[1,4,7],[1,6,41],[1,7,0],[2,4,98],[2,6,21],[2,7,94],[3,4,96],[3,5,63],[3,6,39],[3,7,38],[4,5,64],[4,6,81],[4,7,27],[5,6,80],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=0,(1,4)=7,(0,7)=21,(1,2)=21,(2,6)=21,(0,6)=23,(4,7)=27,(0,5)=30,(0,2)=37,(3,7)=38,(3,6)=39,(0,1)=41,(1,6)=41,(0,4)=44,(3,5)=63,(4,5)=64,(1,3)=72,(5,7)=73,(5,6)=80,(4,6)=81,(0,3)=89,(2,7)=94,(3,4)=96,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=21 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=21 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=23 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=27 Failed, w=70\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=5, Add (0,5)=30 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=37 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=38 Succeeded, w=138\",\"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)=39 Failed, w=138\",\"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)=41 Failed, w=138\",\"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)=41 Failed, w=138\",\"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)=44 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=63 Failed, w=138\",\"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)=64 Failed, w=138\",\"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)=72 Failed, w=138\",\"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)=73 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=80 Failed, w=138\",\"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)=81 Failed, w=138\",\"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)=89 Failed, w=138\",\"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)=94 Failed, w=138\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=138\",\"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)=98 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,82],[0,2,69],[0,3,40],[0,4,11],[0,5,46],[1,2,17],[1,3,10],[1,4,63],[1,5,27],[2,3,19],[2,4,85],[2,5,69],[3,4,71],[3,5,42],[4,5,65]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,69],[0,3,40],[0,4,11],[0,5,46],[1,2,17],[1,3,10],[1,4,63],[1,5,27],[2,3,19],[2,4,85],[2,5,69],[3,4,71],[3,5,42],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,69],[0,3,40],[0,4,11],[0,5,46],[1,2,17],[1,3,10],[1,4,63],[1,5,27],[2,3,19],[2,4,85],[2,5,69],[3,4,71],[3,5,42],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (0,3)\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,69],[0,3,40],[0,4,11],[0,5,46],[1,2,17],[1,3,10],[1,4,63],[1,5,27],[2,3,19],[2,4,85],[2,5,69],[3,4,71],[3,5,42],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (0,4)=11, w=21\",\"Add (1,2)=17, w=38\",\"Add (1,5)=27, w=65\",\"Add (0,3)=40, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,69],[0,3,40],[0,4,11],[0,5,46],[1,2,17],[1,3,10],[1,4,63],[1,5,27],[2,3,19],[2,4,85],[2,5,69],[3,4,71],[3,5,42],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (0,4)=11 Succeeded, w=21\",\"Add (1,2)=17 Succeeded, w=38\",\"Add (2,3)=19 Failed, w=38\",\"Add (1,5)=27 Succeeded, w=65\",\"Add (0,3)=40 Succeeded, w=105\",\"Add (3,5)=42 Failed, w=105\",\"Add (0,5)=46 Failed, w=105\",\"Add (1,4)=63 Failed, w=105\",\"Add (4,5)=65 Failed, w=105\",\"Add (0,2)=69 Failed, w=105\",\"Add (2,5)=69 Failed, w=105\",\"Add (3,4)=71 Failed, w=105\",\"Add (0,1)=82 Failed, w=105\",\"Add (2,4)=85 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,69],[0,3,40],[0,4,11],[0,5,46],[1,2,17],[1,3,10],[1,4,63],[1,5,27],[2,3,19],[2,4,85],[2,5,69],[3,4,71],[3,5,42],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,4)=11,(1,2)=17,(2,3)=19,(1,5)=27,(0,3)=40,(3,5)=42,(0,5)=46,(1,4)=63,(4,5)=65,(0,2)=69,(2,5)=69,(3,4)=71,(0,1)=82,(2,4)=85]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=38\",\"Find(2)=1, Find(3)=1, Add (2,3)=19 Failed, w=38\",\"Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=65\",\"Find(0)=0, Find(3)=1, Add (0,3)=40 Succeeded, w=105\",\"Find(3)=0, Find(5)=0, Add (3,5)=42 Failed, w=105\",\"Find(0)=0, Find(5)=0, Add (0,5)=46 Failed, w=105\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=105\",\"Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=105\",\"Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=105\",\"Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=105\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=105\",\"Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=105\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,69],[0,3,40],[0,4,11],[0,5,46],[1,2,17],[1,3,10],[1,4,63],[1,5,27],[2,3,19],[2,4,85],[2,5,69],[3,4,71],[3,5,42],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,4)=11,(1,2)=17,(2,3)=19,(1,5)=27,(0,3)=40,(3,5)=42,(0,5)=46,(1,4)=63,(4,5)=65,(0,2)=69,(2,5)=69,(3,4)=71,(0,1)=82,(2,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=19 Failed, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=27 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=0, Find(3)=1, Add (0,3)=40 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=42 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=46 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=69 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=69 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=82 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,28],[0,2,14],[0,3,61],[1,2,39],[1,3,68],[2,3,29]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,14],[0,3,61],[1,2,39],[1,3,68],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,14],[0,3,61],[1,2,39],[1,3,68],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,14],[0,3,61],[1,2,39],[1,3,68],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14, w=14\",\"Add (0,1)=28, w=42\",\"Add (2,3)=29, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,14],[0,3,61],[1,2,39],[1,3,68],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=14 Succeeded, w=14\",\"Add (0,1)=28 Succeeded, w=42\",\"Add (2,3)=29 Succeeded, w=71\",\"Add (1,2)=39 Failed, w=71\",\"Add (0,3)=61 Failed, w=71\",\"Add (1,3)=68 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,14],[0,3,61],[1,2,39],[1,3,68],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(0,1)=28,(2,3)=29,(1,2)=39,(0,3)=61,(1,3)=68]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=42\",\"Find(2)=0, Find(3)=3, Add (2,3)=29 Succeeded, w=71\",\"Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=71\",\"Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=71\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,28],[0,2,14],[0,3,61],[1,2,39],[1,3,68],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=14,(0,1)=28,(2,3)=29,(1,2)=39,(0,3)=61,(1,3)=68]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=29 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=39 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,66],[0,2,10],[0,3,52],[1,3,87]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,10],[0,3,52],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,10],[0,3,52],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,10],[0,3,52],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (0,3)=52, w=62\",\"Add (0,1)=66, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,10],[0,3,52],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (0,3)=52 Succeeded, w=62\",\"Add (0,1)=66 Succeeded, w=128\",\"Add (1,3)=87 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,10],[0,3,52],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(0,3)=52,(0,1)=66,(1,3)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=62\",\"Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=128\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,66],[0,2,10],[0,3,52],[1,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(0,3)=52,(0,1)=66,(1,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=52 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,25],[0,2,59],[0,3,59],[1,2,52],[1,3,8],[2,3,6]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,59],[0,3,59],[1,2,52],[1,3,8],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,59],[0,3,59],[1,2,52],[1,3,8],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,59],[0,3,59],[1,2,52],[1,3,8],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (1,3)=8, w=14\",\"Add (0,1)=25, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,59],[0,3,59],[1,2,52],[1,3,8],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (1,3)=8 Succeeded, w=14\",\"Add (0,1)=25 Succeeded, w=39\",\"Add (1,2)=52 Failed, w=39\",\"Add (0,2)=59 Failed, w=39\",\"Add (0,3)=59 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,59],[0,3,59],[1,2,52],[1,3,8],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(1,3)=8,(0,1)=25,(1,2)=52,(0,2)=59,(0,3)=59]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=2, Add (1,3)=8 Succeeded, w=14\",\"Find(0)=0, Find(1)=2, Add (0,1)=25 Succeeded, w=39\",\"Find(1)=2, Find(2)=2, Add (1,2)=52 Failed, w=39\",\"Find(0)=2, Find(2)=2, Add (0,2)=59 Failed, w=39\",\"Find(0)=2, Find(3)=2, Add (0,3)=59 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,25],[0,2,59],[0,3,59],[1,2,52],[1,3,8],[2,3,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(1,3)=8,(0,1)=25,(1,2)=52,(0,2)=59,(0,3)=59]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=8 Succeeded, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=25 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=52 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=59 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=59 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,5],[2,3,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,5],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,5],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,5],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (2,3)=95, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,5],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (2,3)=95 Succeeded, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,5],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,3)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(2)=1, Find(3)=3, Add (2,3)=95 Succeeded, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,5],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=95 Succeeded, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,75],[0,3,89],[1,3,31],[2,3,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,75],[0,3,89],[1,3,31],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,75],[0,3,89],[1,3,31],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,75],[0,3,89],[1,3,31],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=31, w=31\",\"Add (2,3)=41, w=72\",\"Add (0,2)=75, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,75],[0,3,89],[1,3,31],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=31 Succeeded, w=31\",\"Add (2,3)=41 Succeeded, w=72\",\"Add (0,2)=75 Succeeded, w=147\",\"Add (0,3)=89 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,75],[0,3,89],[1,3,31],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=31,(2,3)=41,(0,2)=75,(0,3)=89]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=31\",\"Find(2)=2, Find(3)=1, Add (2,3)=41 Succeeded, w=72\",\"Find(0)=0, Find(2)=1, Add (0,2)=75 Succeeded, w=147\",\"Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,75],[0,3,89],[1,3,31],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=31,(2,3)=41,(0,2)=75,(0,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=41 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=75 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=89 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,95],[0,2,9],[0,3,53],[0,4,47],[0,5,21],[0,7,14],[1,2,67],[1,3,59],[1,4,93],[1,5,68],[1,7,78],[2,3,58],[2,4,94],[2,6,60],[2,7,71],[3,4,20],[3,5,45],[3,6,84],[3,7,12],[4,5,5],[4,6,94],[4,7,36],[5,6,88],[5,7,74],[6,7,68]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,3,53],[0,4,47],[0,5,21],[0,7,14],[1,2,67],[1,3,59],[1,4,93],[1,5,68],[1,7,78],[2,3,58],[2,4,94],[2,6,60],[2,7,71],[3,4,20],[3,5,45],[3,6,84],[3,7,12],[4,5,5],[4,6,94],[4,7,36],[5,6,88],[5,7,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,3,53],[0,4,47],[0,5,21],[0,7,14],[1,2,67],[1,3,59],[1,4,93],[1,5,68],[1,7,78],[2,3,58],[2,4,94],[2,6,60],[2,7,71],[3,4,20],[3,5,45],[3,6,84],[3,7,12],[4,5,5],[4,6,94],[4,7,36],[5,6,88],[5,7,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,2)\",\"Add (3,7)\",\"Add (0,7)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (2,6)\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,3,53],[0,4,47],[0,5,21],[0,7,14],[1,2,67],[1,3,59],[1,4,93],[1,5,68],[1,7,78],[2,3,58],[2,4,94],[2,6,60],[2,7,71],[3,4,20],[3,5,45],[3,6,84],[3,7,12],[4,5,5],[4,6,94],[4,7,36],[5,6,88],[5,7,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5, w=5\",\"Add (0,2)=9, w=14\",\"Add (3,7)=12, w=26\",\"Add (0,7)=14, w=40\",\"Add (3,4)=20, w=60\",\"Add (1,3)=59, w=119\",\"Add (2,6)=60, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,3,53],[0,4,47],[0,5,21],[0,7,14],[1,2,67],[1,3,59],[1,4,93],[1,5,68],[1,7,78],[2,3,58],[2,4,94],[2,6,60],[2,7,71],[3,4,20],[3,5,45],[3,6,84],[3,7,12],[4,5,5],[4,6,94],[4,7,36],[5,6,88],[5,7,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5 Succeeded, w=5\",\"Add (0,2)=9 Succeeded, w=14\",\"Add (3,7)=12 Succeeded, w=26\",\"Add (0,7)=14 Succeeded, w=40\",\"Add (3,4)=20 Succeeded, w=60\",\"Add (0,5)=21 Failed, w=60\",\"Add (4,7)=36 Failed, w=60\",\"Add (3,5)=45 Failed, w=60\",\"Add (0,4)=47 Failed, w=60\",\"Add (0,3)=53 Failed, w=60\",\"Add (2,3)=58 Failed, w=60\",\"Add (1,3)=59 Succeeded, w=119\",\"Add (2,6)=60 Succeeded, w=179\",\"Add (1,2)=67 Failed, w=179\",\"Add (1,5)=68 Failed, w=179\",\"Add (6,7)=68 Failed, w=179\",\"Add (2,7)=71 Failed, w=179\",\"Add (5,7)=74 Failed, w=179\",\"Add (1,7)=78 Failed, w=179\",\"Add (3,6)=84 Failed, w=179\",\"Add (5,6)=88 Failed, w=179\",\"Add (1,4)=93 Failed, w=179\",\"Add (2,4)=94 Failed, w=179\",\"Add (4,6)=94 Failed, w=179\",\"Add (0,1)=95 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,3,53],[0,4,47],[0,5,21],[0,7,14],[1,2,67],[1,3,59],[1,4,93],[1,5,68],[1,7,78],[2,3,58],[2,4,94],[2,6,60],[2,7,71],[3,4,20],[3,5,45],[3,6,84],[3,7,12],[4,5,5],[4,6,94],[4,7,36],[5,6,88],[5,7,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(0,2)=9,(3,7)=12,(0,7)=14,(3,4)=20,(0,5)=21,(4,7)=36,(3,5)=45,(0,4)=47,(0,3)=53,(2,3)=58,(1,3)=59,(2,6)=60,(1,2)=67,(1,5)=68,(6,7)=68,(2,7)=71,(5,7)=74,(1,7)=78,(3,6)=84,(5,6)=88,(1,4)=93,(2,4)=94,(4,6)=94,(0,1)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=14\",\"Find(3)=3, Find(7)=7, Add (3,7)=12 Succeeded, w=26\",\"Find(0)=0, Find(7)=3, Add (0,7)=14 Succeeded, w=40\",\"Find(3)=0, Find(4)=4, Add (3,4)=20 Succeeded, w=60\",\"Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=60\",\"Find(4)=0, Find(7)=0, Add (4,7)=36 Failed, w=60\",\"Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=60\",\"Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=60\",\"Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=60\",\"Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=60\",\"Find(1)=1, Find(3)=0, Add (1,3)=59 Succeeded, w=119\",\"Find(2)=0, Find(6)=6, Add (2,6)=60 Succeeded, w=179\",\"Find(1)=0, Find(2)=0, Add (1,2)=67 Failed, w=179\",\"Find(1)=0, Find(5)=0, Add (1,5)=68 Failed, w=179\",\"Find(6)=0, Find(7)=0, Add (6,7)=68 Failed, w=179\",\"Find(2)=0, Find(7)=0, Add (2,7)=71 Failed, w=179\",\"Find(5)=0, Find(7)=0, Add (5,7)=74 Failed, w=179\",\"Find(1)=0, Find(7)=0, Add (1,7)=78 Failed, w=179\",\"Find(3)=0, Find(6)=0, Add (3,6)=84 Failed, w=179\",\"Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=179\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=179\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=179\",\"Find(4)=0, Find(6)=0, Add (4,6)=94 Failed, w=179\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,95],[0,2,9],[0,3,53],[0,4,47],[0,5,21],[0,7,14],[1,2,67],[1,3,59],[1,4,93],[1,5,68],[1,7,78],[2,3,58],[2,4,94],[2,6,60],[2,7,71],[3,4,20],[3,5,45],[3,6,84],[3,7,12],[4,5,5],[4,6,94],[4,7,36],[5,6,88],[5,7,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(0,2)=9,(3,7)=12,(0,7)=14,(3,4)=20,(0,5)=21,(4,7)=36,(3,5)=45,(0,4)=47,(0,3)=53,(2,3)=58,(1,3)=59,(2,6)=60,(1,2)=67,(1,5)=68,(6,7)=68,(2,7)=71,(5,7)=74,(1,7)=78,(3,6)=84,(5,6)=88,(1,4)=93,(2,4)=94,(4,6)=94,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=12 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 6, 7: 3}, Find(0)=0, Find(7)=3, Add (0,7)=14 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 3}, Find(3)=0, Find(4)=4, Add (3,4)=20 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=36 Failed, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=45 Failed, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=47 Failed, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=59 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=6, Add (2,6)=60 Succeeded, w=179\",\"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=179\",\"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)=68 Failed, w=179\",\"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)=68 Failed, w=179\",\"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)=71 Failed, w=179\",\"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)=74 Failed, w=179\",\"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)=78 Failed, w=179\",\"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)=84 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=179\",\"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)=94 Failed, w=179\",\"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)=94 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,3,56],[1,2,51],[2,3,22]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,56],[1,2,51],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,56],[1,2,51],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,56],[1,2,51],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=22, w=22\",\"Add (1,2)=51, w=73\",\"Add (0,3)=56, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,56],[1,2,51],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=22 Succeeded, w=22\",\"Add (1,2)=51 Succeeded, w=73\",\"Add (0,3)=56 Succeeded, w=129\",\"Add (0,1)=62 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,56],[1,2,51],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=22,(1,2)=51,(0,3)=56,(0,1)=62]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=22\",\"Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=73\",\"Find(0)=0, Find(3)=2, Add (0,3)=56 Succeeded, w=129\",\"Find(0)=2, Find(1)=2, Add (0,1)=62 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,56],[1,2,51],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=22,(1,2)=51,(0,3)=56,(0,1)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=56 Succeeded, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=62 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,91],[0,5,10],[0,6,59],[1,2,32],[1,5,15],[1,6,32],[1,7,39],[2,3,0],[2,5,6],[4,5,32],[4,6,39],[4,7,8],[5,7,97]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,5,10],[0,6,59],[1,2,32],[1,5,15],[1,6,32],[1,7,39],[2,3,0],[2,5,6],[4,5,32],[4,6,39],[4,7,8],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,5,10],[0,6,59],[1,2,32],[1,5,15],[1,6,32],[1,7,39],[2,3,0],[2,5,6],[4,5,32],[4,6,39],[4,7,8],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,5)\",\"Add (4,7)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (1,6)\",\"Add (4,5)\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,5,10],[0,6,59],[1,2,32],[1,5,15],[1,6,32],[1,7,39],[2,3,0],[2,5,6],[4,5,32],[4,6,39],[4,7,8],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (2,5)=6, w=6\",\"Add (4,7)=8, w=14\",\"Add (0,5)=10, w=24\",\"Add (1,5)=15, w=39\",\"Add (1,6)=32, w=71\",\"Add (4,5)=32, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,5,10],[0,6,59],[1,2,32],[1,5,15],[1,6,32],[1,7,39],[2,3,0],[2,5,6],[4,5,32],[4,6,39],[4,7,8],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (2,5)=6 Succeeded, w=6\",\"Add (4,7)=8 Succeeded, w=14\",\"Add (0,5)=10 Succeeded, w=24\",\"Add (1,5)=15 Succeeded, w=39\",\"Add (1,2)=32 Failed, w=39\",\"Add (1,6)=32 Succeeded, w=71\",\"Add (4,5)=32 Succeeded, w=103\",\"Add (1,7)=39 Failed, w=103\",\"Add (4,6)=39 Failed, w=103\",\"Add (0,6)=59 Failed, w=103\",\"Add (0,2)=91 Failed, w=103\",\"Add (5,7)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,5,10],[0,6,59],[1,2,32],[1,5,15],[1,6,32],[1,7,39],[2,3,0],[2,5,6],[4,5,32],[4,6,39],[4,7,8],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,5)=6,(4,7)=8,(0,5)=10,(1,5)=15,(1,2)=32,(1,6)=32,(4,5)=32,(1,7)=39,(4,6)=39,(0,6)=59,(0,2)=91,(5,7)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(4)=4, Find(7)=7, Add (4,7)=8 Succeeded, w=14\",\"Find(0)=0, Find(5)=2, Add (0,5)=10 Succeeded, w=24\",\"Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=39\",\"Find(1)=2, Find(2)=2, Add (1,2)=32 Failed, w=39\",\"Find(1)=2, Find(6)=6, Add (1,6)=32 Succeeded, w=71\",\"Find(4)=4, Find(5)=2, Add (4,5)=32 Succeeded, w=103\",\"Find(1)=4, Find(7)=4, Add (1,7)=39 Failed, w=103\",\"Find(4)=4, Find(6)=4, Add (4,6)=39 Failed, w=103\",\"Find(0)=4, Find(6)=4, Add (0,6)=59 Failed, w=103\",\"Find(0)=4, Find(2)=4, Add (0,2)=91 Failed, w=103\",\"Find(5)=4, Find(7)=4, Add (5,7)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,91],[0,5,10],[0,6,59],[1,2,32],[1,5,15],[1,6,32],[1,7,39],[2,3,0],[2,5,6],[4,5,32],[4,6,39],[4,7,8],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,5)=6,(4,7)=8,(0,5)=10,(1,5)=15,(1,2)=32,(1,6)=32,(4,5)=32,(1,7)=39,(4,6)=39,(0,6)=59,(0,2)=91,(5,7)=97]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=8 Succeeded, w=14\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 4}, Find(0)=0, Find(5)=2, Add (0,5)=10 Succeeded, w=24\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 4}, Find(1)=1, Find(5)=2, Add (1,5)=15 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6, 7: 4}, Find(1)=2, Find(2)=2, Add (1,2)=32 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 4}, Find(1)=2, Find(6)=6, Add (1,6)=32 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 4, 3: 2, 4: 4, 5: 2, 6: 2, 7: 4}, Find(4)=4, Find(5)=2, Add (4,5)=32 Succeeded, w=103\",\"Parent: {0: 2, 1: 4, 2: 4, 3: 2, 4: 4, 5: 2, 6: 2, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=39 Failed, w=103\",\"Parent: {0: 2, 1: 4, 2: 4, 3: 2, 4: 4, 5: 2, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=39 Failed, w=103\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 2, 4: 4, 5: 2, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=59 Failed, w=103\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 2, 4: 4, 5: 2, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=91 Failed, w=103\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 2, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=97 Failed, w=103\"],\"Answer\":103}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,48],[0,2,67],[0,3,59],[0,5,1],[0,6,67],[0,7,25],[1,2,99],[1,3,59],[1,5,9],[1,6,83],[1,7,42],[2,3,72],[2,4,5],[2,5,3],[2,6,13],[2,7,75],[3,4,21],[3,5,92],[3,6,90],[3,7,5],[4,5,54],[4,6,23],[4,7,9],[5,6,39],[5,7,64],[6,7,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,67],[0,3,59],[0,5,1],[0,6,67],[0,7,25],[1,2,99],[1,3,59],[1,5,9],[1,6,83],[1,7,42],[2,3,72],[2,4,5],[2,5,3],[2,6,13],[2,7,75],[3,4,21],[3,5,92],[3,6,90],[3,7,5],[4,5,54],[4,6,23],[4,7,9],[5,6,39],[5,7,64],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,67],[0,3,59],[0,5,1],[0,6,67],[0,7,25],[1,2,99],[1,3,59],[1,5,9],[1,6,83],[1,7,42],[2,3,72],[2,4,5],[2,5,3],[2,6,13],[2,7,75],[3,4,21],[3,5,92],[3,6,90],[3,7,5],[4,5,54],[4,6,23],[4,7,9],[5,6,39],[5,7,64],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (3,7)\",\"Add (1,5)\",\"Add (4,7)\",\"Add (2,6)\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,67],[0,3,59],[0,5,1],[0,6,67],[0,7,25],[1,2,99],[1,3,59],[1,5,9],[1,6,83],[1,7,42],[2,3,72],[2,4,5],[2,5,3],[2,6,13],[2,7,75],[3,4,21],[3,5,92],[3,6,90],[3,7,5],[4,5,54],[4,6,23],[4,7,9],[5,6,39],[5,7,64],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (2,5)=3, w=4\",\"Add (2,4)=5, w=9\",\"Add (3,7)=5, w=14\",\"Add (1,5)=9, w=23\",\"Add (4,7)=9, w=32\",\"Add (2,6)=13, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,67],[0,3,59],[0,5,1],[0,6,67],[0,7,25],[1,2,99],[1,3,59],[1,5,9],[1,6,83],[1,7,42],[2,3,72],[2,4,5],[2,5,3],[2,6,13],[2,7,75],[3,4,21],[3,5,92],[3,6,90],[3,7,5],[4,5,54],[4,6,23],[4,7,9],[5,6,39],[5,7,64],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (2,5)=3 Succeeded, w=4\",\"Add (2,4)=5 Succeeded, w=9\",\"Add (3,7)=5 Succeeded, w=14\",\"Add (1,5)=9 Succeeded, w=23\",\"Add (4,7)=9 Succeeded, w=32\",\"Add (2,6)=13 Succeeded, w=45\",\"Add (3,4)=21 Failed, w=45\",\"Add (4,6)=23 Failed, w=45\",\"Add (0,7)=25 Failed, w=45\",\"Add (5,6)=39 Failed, w=45\",\"Add (1,7)=42 Failed, w=45\",\"Add (0,1)=48 Failed, w=45\",\"Add (4,5)=54 Failed, w=45\",\"Add (0,3)=59 Failed, w=45\",\"Add (1,3)=59 Failed, w=45\",\"Add (5,7)=64 Failed, w=45\",\"Add (0,2)=67 Failed, w=45\",\"Add (0,6)=67 Failed, w=45\",\"Add (2,3)=72 Failed, w=45\",\"Add (2,7)=75 Failed, w=45\",\"Add (1,6)=83 Failed, w=45\",\"Add (3,6)=90 Failed, w=45\",\"Add (3,5)=92 Failed, w=45\",\"Add (6,7)=95 Failed, w=45\",\"Add (1,2)=99 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,67],[0,3,59],[0,5,1],[0,6,67],[0,7,25],[1,2,99],[1,3,59],[1,5,9],[1,6,83],[1,7,42],[2,3,72],[2,4,5],[2,5,3],[2,6,13],[2,7,75],[3,4,21],[3,5,92],[3,6,90],[3,7,5],[4,5,54],[4,6,23],[4,7,9],[5,6,39],[5,7,64],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(2,5)=3,(2,4)=5,(3,7)=5,(1,5)=9,(4,7)=9,(2,6)=13,(3,4)=21,(4,6)=23,(0,7)=25,(5,6)=39,(1,7)=42,(0,1)=48,(4,5)=54,(0,3)=59,(1,3)=59,(5,7)=64,(0,2)=67,(0,6)=67,(2,3)=72,(2,7)=75,(1,6)=83,(3,6)=90,(3,5)=92,(6,7)=95,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=0, Add (2,5)=3 Succeeded, w=4\",\"Find(2)=0, Find(4)=4, Add (2,4)=5 Succeeded, w=9\",\"Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=14\",\"Find(1)=1, Find(5)=0, Add (1,5)=9 Succeeded, w=23\",\"Find(4)=0, Find(7)=3, Add (4,7)=9 Succeeded, w=32\",\"Find(2)=0, Find(6)=6, Add (2,6)=13 Succeeded, w=45\",\"Find(3)=0, Find(4)=0, Add (3,4)=21 Failed, w=45\",\"Find(4)=0, Find(6)=0, Add (4,6)=23 Failed, w=45\",\"Find(0)=0, Find(7)=0, Add (0,7)=25 Failed, w=45\",\"Find(5)=0, Find(6)=0, Add (5,6)=39 Failed, w=45\",\"Find(1)=0, Find(7)=0, Add (1,7)=42 Failed, w=45\",\"Find(0)=0, Find(1)=0, Add (0,1)=48 Failed, w=45\",\"Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=45\",\"Find(0)=0, Find(3)=0, Add (0,3)=59 Failed, w=45\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=45\",\"Find(5)=0, Find(7)=0, Add (5,7)=64 Failed, w=45\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=45\",\"Find(0)=0, Find(6)=0, Add (0,6)=67 Failed, w=45\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=45\",\"Find(2)=0, Find(7)=0, Add (2,7)=75 Failed, w=45\",\"Find(1)=0, Find(6)=0, Add (1,6)=83 Failed, w=45\",\"Find(3)=0, Find(6)=0, Add (3,6)=90 Failed, w=45\",\"Find(3)=0, Find(5)=0, Add (3,5)=92 Failed, w=45\",\"Find(6)=0, Find(7)=0, Add (6,7)=95 Failed, w=45\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,67],[0,3,59],[0,5,1],[0,6,67],[0,7,25],[1,2,99],[1,3,59],[1,5,9],[1,6,83],[1,7,42],[2,3,72],[2,4,5],[2,5,3],[2,6,13],[2,7,75],[3,4,21],[3,5,92],[3,6,90],[3,7,5],[4,5,54],[4,6,23],[4,7,9],[5,6,39],[5,7,64],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(2,5)=3,(2,4)=5,(3,7)=5,(1,5)=9,(4,7)=9,(2,6)=13,(3,4)=21,(4,6)=23,(0,7)=25,(5,6)=39,(1,7)=42,(0,1)=48,(4,5)=54,(0,3)=59,(1,3)=59,(5,7)=64,(0,2)=67,(0,6)=67,(2,3)=72,(2,7)=75,(1,6)=83,(3,6)=90,(3,5)=92,(6,7)=95,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=2, Find(5)=0, Add (2,5)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(4)=4, Add (2,4)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 6, 7: 3}, Find(1)=1, Find(5)=0, Add (1,5)=9 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 3}, Find(4)=0, Find(7)=3, Add (4,7)=9 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(6)=6, Add (2,6)=13 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(3)=0, Find(4)=0, Add (3,4)=21 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(4)=0, Find(6)=0, Add (4,6)=23 Failed, w=45\",\"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)=25 Failed, w=45\",\"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)=39 Failed, w=45\",\"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)=42 Failed, w=45\",\"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)=48 Failed, w=45\",\"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)=54 Failed, w=45\",\"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)=59 Failed, w=45\",\"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)=59 Failed, w=45\",\"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)=64 Failed, w=45\",\"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)=67 Failed, w=45\",\"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)=67 Failed, w=45\",\"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)=72 Failed, w=45\",\"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)=75 Failed, w=45\",\"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)=83 Failed, w=45\",\"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)=90 Failed, w=45\",\"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)=92 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=95 Failed, w=45\",\"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)=99 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
] |
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