graph
stringlengths 50
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| messages_l0
listlengths 2
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| messages_l1
listlengths 2
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| messages_l2
listlengths 2
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| messages_l3
listlengths 2
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| messages_l4
listlengths 2
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| messages_l5
listlengths 2
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{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,19],[0,3,75],[0,4,43],[0,5,77],[0,6,56],[1,2,59],[1,3,47],[1,5,100],[1,6,8],[2,3,57],[2,4,11],[2,5,91],[3,4,23],[4,5,43],[4,6,10],[5,6,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,75],[0,4,43],[0,5,77],[0,6,56],[1,2,59],[1,3,47],[1,5,100],[1,6,8],[2,3,57],[2,4,11],[2,5,91],[3,4,23],[4,5,43],[4,6,10],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,75],[0,4,43],[0,5,77],[0,6,56],[1,2,59],[1,3,47],[1,5,100],[1,6,8],[2,3,57],[2,4,11],[2,5,91],[3,4,23],[4,5,43],[4,6,10],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (4,6)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (5,6)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,75],[0,4,43],[0,5,77],[0,6,56],[1,2,59],[1,3,47],[1,5,100],[1,6,8],[2,3,57],[2,4,11],[2,5,91],[3,4,23],[4,5,43],[4,6,10],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8, w=8\",\"Add (4,6)=10, w=18\",\"Add (2,4)=11, w=29\",\"Add (0,2)=19, w=48\",\"Add (3,4)=23, w=71\",\"Add (5,6)=38, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,75],[0,4,43],[0,5,77],[0,6,56],[1,2,59],[1,3,47],[1,5,100],[1,6,8],[2,3,57],[2,4,11],[2,5,91],[3,4,23],[4,5,43],[4,6,10],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=8 Succeeded, w=8\",\"Add (4,6)=10 Succeeded, w=18\",\"Add (2,4)=11 Succeeded, w=29\",\"Add (0,2)=19 Succeeded, w=48\",\"Add (3,4)=23 Succeeded, w=71\",\"Add (5,6)=38 Succeeded, w=109\",\"Add (0,4)=43 Failed, w=109\",\"Add (4,5)=43 Failed, w=109\",\"Add (1,3)=47 Failed, w=109\",\"Add (0,6)=56 Failed, w=109\",\"Add (2,3)=57 Failed, w=109\",\"Add (1,2)=59 Failed, w=109\",\"Add (0,3)=75 Failed, w=109\",\"Add (0,5)=77 Failed, w=109\",\"Add (2,5)=91 Failed, w=109\",\"Add (1,5)=100 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,75],[0,4,43],[0,5,77],[0,6,56],[1,2,59],[1,3,47],[1,5,100],[1,6,8],[2,3,57],[2,4,11],[2,5,91],[3,4,23],[4,5,43],[4,6,10],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(4,6)=10,(2,4)=11,(0,2)=19,(3,4)=23,(5,6)=38,(0,4)=43,(4,5)=43,(1,3)=47,(0,6)=56,(2,3)=57,(1,2)=59,(0,3)=75,(0,5)=77,(2,5)=91,(1,5)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Find(4)=4, Find(6)=1, Add (4,6)=10 Succeeded, w=18\",\"Find(2)=2, Find(4)=1, Add (2,4)=11 Succeeded, w=29\",\"Find(0)=0, Find(2)=1, Add (0,2)=19 Succeeded, w=48\",\"Find(3)=3, Find(4)=1, Add (3,4)=23 Succeeded, w=71\",\"Find(5)=5, Find(6)=1, Add (5,6)=38 Succeeded, w=109\",\"Find(0)=1, Find(4)=1, Add (0,4)=43 Failed, w=109\",\"Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=109\",\"Find(1)=1, Find(3)=1, Add (1,3)=47 Failed, w=109\",\"Find(0)=1, Find(6)=1, Add (0,6)=56 Failed, w=109\",\"Find(2)=1, Find(3)=1, Add (2,3)=57 Failed, w=109\",\"Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=109\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=109\",\"Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=109\",\"Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=109\",\"Find(1)=1, Find(5)=1, Add (1,5)=100 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,19],[0,3,75],[0,4,43],[0,5,77],[0,6,56],[1,2,59],[1,3,47],[1,5,100],[1,6,8],[2,3,57],[2,4,11],[2,5,91],[3,4,23],[4,5,43],[4,6,10],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=8,(4,6)=10,(2,4)=11,(0,2)=19,(3,4)=23,(5,6)=38,(0,4)=43,(4,5)=43,(1,3)=47,(0,6)=56,(2,3)=57,(1,2)=59,(0,3)=75,(0,5)=77,(2,5)=91,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1}, Find(4)=4, Find(6)=1, Add (4,6)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(2)=2, Find(4)=1, Add (2,4)=11 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=19 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=3, Find(4)=1, Add (3,4)=23 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=5, Find(6)=1, Add (5,6)=38 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=43 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=47 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=56 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=57 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=59 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=91 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=100 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,20],[0,2,99],[0,3,29],[0,5,19],[1,2,18],[1,3,66],[1,4,31],[2,3,80],[2,4,84],[3,4,43],[3,5,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,99],[0,3,29],[0,5,19],[1,2,18],[1,3,66],[1,4,31],[2,3,80],[2,4,84],[3,4,43],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,99],[0,3,29],[0,5,19],[1,2,18],[1,3,66],[1,4,31],[2,3,80],[2,4,84],[3,4,43],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,99],[0,3,29],[0,5,19],[1,2,18],[1,3,66],[1,4,31],[2,3,80],[2,4,84],[3,4,43],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=12, w=12\",\"Add (1,2)=18, w=30\",\"Add (0,5)=19, w=49\",\"Add (0,1)=20, w=69\",\"Add (1,4)=31, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,99],[0,3,29],[0,5,19],[1,2,18],[1,3,66],[1,4,31],[2,3,80],[2,4,84],[3,4,43],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=12 Succeeded, w=12\",\"Add (1,2)=18 Succeeded, w=30\",\"Add (0,5)=19 Succeeded, w=49\",\"Add (0,1)=20 Succeeded, w=69\",\"Add (0,3)=29 Failed, w=69\",\"Add (1,4)=31 Succeeded, w=100\",\"Add (3,4)=43 Failed, w=100\",\"Add (1,3)=66 Failed, w=100\",\"Add (2,3)=80 Failed, w=100\",\"Add (2,4)=84 Failed, w=100\",\"Add (0,2)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,99],[0,3,29],[0,5,19],[1,2,18],[1,3,66],[1,4,31],[2,3,80],[2,4,84],[3,4,43],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=12,(1,2)=18,(0,5)=19,(0,1)=20,(0,3)=29,(1,4)=31,(3,4)=43,(1,3)=66,(2,3)=80,(2,4)=84,(0,2)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=12\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=30\",\"Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=49\",\"Find(0)=3, Find(1)=1, Add (0,1)=20 Succeeded, w=69\",\"Find(0)=3, Find(3)=3, Add (0,3)=29 Failed, w=69\",\"Find(1)=3, Find(4)=4, Add (1,4)=31 Succeeded, w=100\",\"Find(3)=3, Find(4)=3, Add (3,4)=43 Failed, w=100\",\"Find(1)=3, Find(3)=3, Add (1,3)=66 Failed, w=100\",\"Find(2)=3, Find(3)=3, Add (2,3)=80 Failed, w=100\",\"Find(2)=3, Find(4)=3, Add (2,4)=84 Failed, w=100\",\"Find(0)=3, Find(2)=3, Add (0,2)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,20],[0,2,99],[0,3,29],[0,5,19],[1,2,18],[1,3,66],[1,4,31],[2,3,80],[2,4,84],[3,4,43],[3,5,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=12,(1,2)=18,(0,5)=19,(0,1)=20,(0,3)=29,(1,4)=31,(3,4)=43,(1,3)=66,(2,3)=80,(2,4)=84,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=30\",\"Parent: {0: 3, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=49\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 4, 5: 3}, Find(0)=3, Find(1)=1, Add (0,1)=20 Succeeded, w=69\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 4, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=29 Failed, w=69\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=4, Add (1,4)=31 Succeeded, w=100\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=43 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=66 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=80 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=84 Failed, w=100\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,62],[0,3,12],[1,2,81],[1,4,22],[1,6,63],[2,3,28],[3,6,32],[4,5,48],[5,6,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,3,12],[1,2,81],[1,4,22],[1,6,63],[2,3,28],[3,6,32],[4,5,48],[5,6,46]]}",
"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\":[[0,1,62],[0,3,12],[1,2,81],[1,4,22],[1,6,63],[2,3,28],[3,6,32],[4,5,48],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (3,6)\",\"Add (5,6)\",\"Add (4,5)\"],\"Answer\":188}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,3,12],[1,2,81],[1,4,22],[1,6,63],[2,3,28],[3,6,32],[4,5,48],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12, w=12\",\"Add (1,4)=22, w=34\",\"Add (2,3)=28, w=62\",\"Add (3,6)=32, w=94\",\"Add (5,6)=46, w=140\",\"Add (4,5)=48, 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\":[[0,1,62],[0,3,12],[1,2,81],[1,4,22],[1,6,63],[2,3,28],[3,6,32],[4,5,48],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12 Succeeded, w=12\",\"Add (1,4)=22 Succeeded, w=34\",\"Add (2,3)=28 Succeeded, w=62\",\"Add (3,6)=32 Succeeded, w=94\",\"Add (5,6)=46 Succeeded, w=140\",\"Add (4,5)=48 Succeeded, w=188\",\"Add (0,1)=62 Failed, w=188\",\"Add (1,6)=63 Failed, w=188\",\"Add (1,2)=81 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\":[[0,1,62],[0,3,12],[1,2,81],[1,4,22],[1,6,63],[2,3,28],[3,6,32],[4,5,48],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(1,4)=22,(2,3)=28,(3,6)=32,(5,6)=46,(4,5)=48,(0,1)=62,(1,6)=63,(1,2)=81]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=34\",\"Find(2)=2, Find(3)=0, Add (2,3)=28 Succeeded, w=62\",\"Find(3)=0, Find(6)=6, Add (3,6)=32 Succeeded, w=94\",\"Find(5)=5, Find(6)=0, Add (5,6)=46 Succeeded, w=140\",\"Find(4)=1, Find(5)=0, Add (4,5)=48 Succeeded, w=188\",\"Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=188\",\"Find(1)=1, Find(6)=1, Add (1,6)=63 Failed, w=188\",\"Find(1)=1, Find(2)=1, Add (1,2)=81 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\":[[0,1,62],[0,3,12],[1,2,81],[1,4,22],[1,6,63],[2,3,28],[3,6,32],[4,5,48],[5,6,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(1,4)=22,(2,3)=28,(3,6)=32,(5,6)=46,(4,5)=48,(0,1)=62,(1,6)=63,(1,2)=81]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(3)=0, Add (2,3)=28 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=32 Succeeded, w=94\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=46 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(4)=1, Find(5)=0, Add (4,5)=48 Succeeded, w=188\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=188\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=63 Failed, w=188\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=188\"],\"Answer\":188}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,78],[0,3,11],[0,4,47],[0,5,46],[0,6,63],[0,7,20],[1,3,20],[1,4,11],[1,5,50],[1,6,27],[1,7,84],[2,3,7],[2,5,57],[2,6,100],[2,7,14],[3,4,65],[3,5,56],[3,7,50],[4,5,33],[4,6,38],[5,6,90],[5,7,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,11],[0,4,47],[0,5,46],[0,6,63],[0,7,20],[1,3,20],[1,4,11],[1,5,50],[1,6,27],[1,7,84],[2,3,7],[2,5,57],[2,6,100],[2,7,14],[3,4,65],[3,5,56],[3,7,50],[4,5,33],[4,6,38],[5,6,90],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,11],[0,4,47],[0,5,46],[0,6,63],[0,7,20],[1,3,20],[1,4,11],[1,5,50],[1,6,27],[1,7,84],[2,3,7],[2,5,57],[2,6,100],[2,7,14],[3,4,65],[3,5,56],[3,7,50],[4,5,33],[4,6,38],[5,6,90],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (2,7)\",\"Add (1,3)\",\"Add (5,7)\",\"Add (1,6)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,11],[0,4,47],[0,5,46],[0,6,63],[0,7,20],[1,3,20],[1,4,11],[1,5,50],[1,6,27],[1,7,84],[2,3,7],[2,5,57],[2,6,100],[2,7,14],[3,4,65],[3,5,56],[3,7,50],[4,5,33],[4,6,38],[5,6,90],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (0,3)=11, w=18\",\"Add (1,4)=11, w=29\",\"Add (2,7)=14, w=43\",\"Add (1,3)=20, w=63\",\"Add (5,7)=21, w=84\",\"Add (1,6)=27, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,11],[0,4,47],[0,5,46],[0,6,63],[0,7,20],[1,3,20],[1,4,11],[1,5,50],[1,6,27],[1,7,84],[2,3,7],[2,5,57],[2,6,100],[2,7,14],[3,4,65],[3,5,56],[3,7,50],[4,5,33],[4,6,38],[5,6,90],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (0,3)=11 Succeeded, w=18\",\"Add (1,4)=11 Succeeded, w=29\",\"Add (2,7)=14 Succeeded, w=43\",\"Add (0,7)=20 Failed, w=43\",\"Add (1,3)=20 Succeeded, w=63\",\"Add (5,7)=21 Succeeded, w=84\",\"Add (1,6)=27 Succeeded, w=111\",\"Add (4,5)=33 Failed, w=111\",\"Add (4,6)=38 Failed, w=111\",\"Add (0,5)=46 Failed, w=111\",\"Add (0,4)=47 Failed, w=111\",\"Add (1,5)=50 Failed, w=111\",\"Add (3,7)=50 Failed, w=111\",\"Add (3,5)=56 Failed, w=111\",\"Add (2,5)=57 Failed, w=111\",\"Add (0,6)=63 Failed, w=111\",\"Add (3,4)=65 Failed, w=111\",\"Add (0,1)=78 Failed, w=111\",\"Add (1,7)=84 Failed, w=111\",\"Add (5,6)=90 Failed, w=111\",\"Add (2,6)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,11],[0,4,47],[0,5,46],[0,6,63],[0,7,20],[1,3,20],[1,4,11],[1,5,50],[1,6,27],[1,7,84],[2,3,7],[2,5,57],[2,6,100],[2,7,14],[3,4,65],[3,5,56],[3,7,50],[4,5,33],[4,6,38],[5,6,90],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,3)=11,(1,4)=11,(2,7)=14,(0,7)=20,(1,3)=20,(5,7)=21,(1,6)=27,(4,5)=33,(4,6)=38,(0,5)=46,(0,4)=47,(1,5)=50,(3,7)=50,(3,5)=56,(2,5)=57,(0,6)=63,(3,4)=65,(0,1)=78,(1,7)=84,(5,6)=90,(2,6)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=2, Add (0,3)=11 Succeeded, w=18\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=29\",\"Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=43\",\"Find(0)=2, Find(7)=2, Add (0,7)=20 Failed, w=43\",\"Find(1)=1, Find(3)=2, Add (1,3)=20 Succeeded, w=63\",\"Find(5)=5, Find(7)=1, Add (5,7)=21 Succeeded, w=84\",\"Find(1)=1, Find(6)=6, Add (1,6)=27 Succeeded, w=111\",\"Find(4)=1, Find(5)=1, Add (4,5)=33 Failed, w=111\",\"Find(4)=1, Find(6)=1, Add (4,6)=38 Failed, w=111\",\"Find(0)=1, Find(5)=1, Add (0,5)=46 Failed, w=111\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=111\",\"Find(1)=1, Find(5)=1, Add (1,5)=50 Failed, w=111\",\"Find(3)=1, Find(7)=1, Add (3,7)=50 Failed, w=111\",\"Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=111\",\"Find(2)=1, Find(5)=1, Add (2,5)=57 Failed, w=111\",\"Find(0)=1, Find(6)=1, Add (0,6)=63 Failed, w=111\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=111\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=111\",\"Find(1)=1, Find(7)=1, Add (1,7)=84 Failed, w=111\",\"Find(5)=1, Find(6)=1, Add (5,6)=90 Failed, w=111\",\"Find(2)=1, Find(6)=1, Add (2,6)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,11],[0,4,47],[0,5,46],[0,6,63],[0,7,20],[1,3,20],[1,4,11],[1,5,50],[1,6,27],[1,7,84],[2,3,7],[2,5,57],[2,6,100],[2,7,14],[3,4,65],[3,5,56],[3,7,50],[4,5,33],[4,6,38],[5,6,90],[5,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(0,3)=11,(1,4)=11,(2,7)=14,(0,7)=20,(1,3)=20,(5,7)=21,(1,6)=27,(4,5)=33,(4,6)=38,(0,5)=46,(0,4)=47,(1,5)=50,(3,7)=50,(3,5)=56,(2,5)=57,(0,6)=63,(3,4)=65,(0,1)=78,(1,7)=84,(5,6)=90,(2,6)=100]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=2, Add (0,3)=11 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=14 Succeeded, w=43\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=20 Failed, w=43\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(3)=2, Add (1,3)=20 Succeeded, w=63\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=21 Succeeded, w=84\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=6, Add (1,6)=27 Succeeded, w=111\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=33 Failed, w=111\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=38 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=46 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=50 Failed, w=111\",\"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)=50 Failed, w=111\",\"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)=56 Failed, w=111\",\"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)=57 Failed, w=111\",\"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)=63 Failed, w=111\",\"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)=65 Failed, w=111\",\"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)=78 Failed, w=111\",\"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=111\",\"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)=90 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,45],[0,2,72],[0,3,61],[0,4,100],[0,5,6],[1,2,14],[1,3,54],[1,4,60],[1,5,5],[2,3,53],[2,4,6],[2,5,34],[3,4,32],[3,5,45],[4,5,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,72],[0,3,61],[0,4,100],[0,5,6],[1,2,14],[1,3,54],[1,4,60],[1,5,5],[2,3,53],[2,4,6],[2,5,34],[3,4,32],[3,5,45],[4,5,52]]}",
"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\":[[0,1,45],[0,2,72],[0,3,61],[0,4,100],[0,5,6],[1,2,14],[1,3,54],[1,4,60],[1,5,5],[2,3,53],[2,4,6],[2,5,34],[3,4,32],[3,5,45],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,72],[0,3,61],[0,4,100],[0,5,6],[1,2,14],[1,3,54],[1,4,60],[1,5,5],[2,3,53],[2,4,6],[2,5,34],[3,4,32],[3,5,45],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5, w=5\",\"Add (0,5)=6, w=11\",\"Add (2,4)=6, w=17\",\"Add (1,2)=14, w=31\",\"Add (3,4)=32, 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\":[[0,1,45],[0,2,72],[0,3,61],[0,4,100],[0,5,6],[1,2,14],[1,3,54],[1,4,60],[1,5,5],[2,3,53],[2,4,6],[2,5,34],[3,4,32],[3,5,45],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5 Succeeded, w=5\",\"Add (0,5)=6 Succeeded, w=11\",\"Add (2,4)=6 Succeeded, w=17\",\"Add (1,2)=14 Succeeded, w=31\",\"Add (3,4)=32 Succeeded, w=63\",\"Add (2,5)=34 Failed, w=63\",\"Add (0,1)=45 Failed, w=63\",\"Add (3,5)=45 Failed, w=63\",\"Add (4,5)=52 Failed, w=63\",\"Add (2,3)=53 Failed, w=63\",\"Add (1,3)=54 Failed, w=63\",\"Add (1,4)=60 Failed, w=63\",\"Add (0,3)=61 Failed, w=63\",\"Add (0,2)=72 Failed, w=63\",\"Add (0,4)=100 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\":[[0,1,45],[0,2,72],[0,3,61],[0,4,100],[0,5,6],[1,2,14],[1,3,54],[1,4,60],[1,5,5],[2,3,53],[2,4,6],[2,5,34],[3,4,32],[3,5,45],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(0,5)=6,(2,4)=6,(1,2)=14,(3,4)=32,(2,5)=34,(0,1)=45,(3,5)=45,(4,5)=52,(2,3)=53,(1,3)=54,(1,4)=60,(0,3)=61,(0,2)=72,(0,4)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=1, Add (0,5)=6 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=17\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=31\",\"Find(3)=3, Find(4)=1, Add (3,4)=32 Succeeded, w=63\",\"Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=63\",\"Find(0)=1, Find(1)=1, Add (0,1)=45 Failed, w=63\",\"Find(3)=1, Find(5)=1, Add (3,5)=45 Failed, w=63\",\"Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=63\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=63\",\"Find(1)=1, Find(3)=1, Add (1,3)=54 Failed, w=63\",\"Find(1)=1, Find(4)=1, Add (1,4)=60 Failed, w=63\",\"Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=63\",\"Find(0)=1, Find(2)=1, Add (0,2)=72 Failed, w=63\",\"Find(0)=1, Find(4)=1, Add (0,4)=100 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\":[[0,1,45],[0,2,72],[0,3,61],[0,4,100],[0,5,6],[1,2,14],[1,3,54],[1,4,60],[1,5,5],[2,3,53],[2,4,6],[2,5,34],[3,4,32],[3,5,45],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(0,5)=6,(2,4)=6,(1,2)=14,(3,4)=32,(2,5)=34,(0,1)=45,(3,5)=45,(4,5)=52,(2,3)=53,(1,3)=54,(1,4)=60,(0,3)=61,(0,2)=72,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=6 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(4)=1, Add (3,4)=32 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=34 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=45 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=45 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=54 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=60 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=72 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,61],[0,3,63],[0,4,35],[1,2,0],[1,3,67],[1,5,96],[1,6,77],[2,3,8],[2,6,49],[3,5,86],[3,6,88],[4,5,58],[4,6,98],[5,6,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,63],[0,4,35],[1,2,0],[1,3,67],[1,5,96],[1,6,77],[2,3,8],[2,6,49],[3,5,86],[3,6,88],[4,5,58],[4,6,98],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,63],[0,4,35],[1,2,0],[1,3,67],[1,5,96],[1,6,77],[2,3,8],[2,6,49],[3,5,86],[3,6,88],[4,5,58],[4,6,98],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (5,6)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (4,5)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,63],[0,4,35],[1,2,0],[1,3,67],[1,5,96],[1,6,77],[2,3,8],[2,6,49],[3,5,86],[3,6,88],[4,5,58],[4,6,98],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (5,6)=6, w=6\",\"Add (2,3)=8, w=14\",\"Add (0,4)=35, w=49\",\"Add (2,6)=49, w=98\",\"Add (4,5)=58, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,63],[0,4,35],[1,2,0],[1,3,67],[1,5,96],[1,6,77],[2,3,8],[2,6,49],[3,5,86],[3,6,88],[4,5,58],[4,6,98],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (5,6)=6 Succeeded, w=6\",\"Add (2,3)=8 Succeeded, w=14\",\"Add (0,4)=35 Succeeded, w=49\",\"Add (2,6)=49 Succeeded, w=98\",\"Add (4,5)=58 Succeeded, w=156\",\"Add (0,2)=61 Failed, w=156\",\"Add (0,3)=63 Failed, w=156\",\"Add (1,3)=67 Failed, w=156\",\"Add (1,6)=77 Failed, w=156\",\"Add (3,5)=86 Failed, w=156\",\"Add (3,6)=88 Failed, w=156\",\"Add (1,5)=96 Failed, w=156\",\"Add (4,6)=98 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,63],[0,4,35],[1,2,0],[1,3,67],[1,5,96],[1,6,77],[2,3,8],[2,6,49],[3,5,86],[3,6,88],[4,5,58],[4,6,98],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(5,6)=6,(2,3)=8,(0,4)=35,(2,6)=49,(4,5)=58,(0,2)=61,(0,3)=63,(1,3)=67,(1,6)=77,(3,5)=86,(3,6)=88,(1,5)=96,(4,6)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=6\",\"Find(2)=1, Find(3)=3, Add (2,3)=8 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=49\",\"Find(2)=1, Find(6)=5, Add (2,6)=49 Succeeded, w=98\",\"Find(4)=0, Find(5)=1, Add (4,5)=58 Succeeded, w=156\",\"Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=156\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=156\",\"Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=156\",\"Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=156\",\"Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=156\",\"Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=156\",\"Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=156\",\"Find(4)=1, Find(6)=1, Add (4,6)=98 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,61],[0,3,63],[0,4,35],[1,2,0],[1,3,67],[1,5,96],[1,6,77],[2,3,8],[2,6,49],[3,5,86],[3,6,88],[4,5,58],[4,6,98],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(5,6)=6,(2,3)=8,(0,4)=35,(2,6)=49,(4,5)=58,(0,2)=61,(0,3)=63,(1,3)=67,(1,6)=77,(3,5)=86,(3,6)=88,(1,5)=96,(4,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 5}, Find(2)=1, Find(3)=3, Add (2,3)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5}, Find(2)=1, Find(6)=5, Add (2,6)=49 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5}, Find(4)=0, Find(5)=1, Add (4,5)=58 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5}, Find(0)=1, Find(2)=1, Add (0,2)=61 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5}, Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=86 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=96 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=98 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,44],[0,2,0],[0,3,75],[0,5,32],[1,2,25],[1,3,72],[1,5,14],[2,3,11],[2,4,88],[3,4,10],[3,5,5],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,0],[0,3,75],[0,5,32],[1,2,25],[1,3,72],[1,5,14],[2,3,11],[2,4,88],[3,4,10],[3,5,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,0],[0,3,75],[0,5,32],[1,2,25],[1,3,72],[1,5,14],[2,3,11],[2,4,88],[3,4,10],[3,5,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (1,5)\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,0],[0,3,75],[0,5,32],[1,2,25],[1,3,72],[1,5,14],[2,3,11],[2,4,88],[3,4,10],[3,5,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (3,5)=5, w=5\",\"Add (4,5)=8, w=13\",\"Add (2,3)=11, w=24\",\"Add (1,5)=14, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,0],[0,3,75],[0,5,32],[1,2,25],[1,3,72],[1,5,14],[2,3,11],[2,4,88],[3,4,10],[3,5,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (3,5)=5 Succeeded, w=5\",\"Add (4,5)=8 Succeeded, w=13\",\"Add (3,4)=10 Failed, w=13\",\"Add (2,3)=11 Succeeded, w=24\",\"Add (1,5)=14 Succeeded, w=38\",\"Add (1,2)=25 Failed, w=38\",\"Add (0,5)=32 Failed, w=38\",\"Add (0,1)=44 Failed, w=38\",\"Add (1,3)=72 Failed, w=38\",\"Add (0,3)=75 Failed, w=38\",\"Add (2,4)=88 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,0],[0,3,75],[0,5,32],[1,2,25],[1,3,72],[1,5,14],[2,3,11],[2,4,88],[3,4,10],[3,5,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(3,5)=5,(4,5)=8,(3,4)=10,(2,3)=11,(1,5)=14,(1,2)=25,(0,5)=32,(0,1)=44,(1,3)=72,(0,3)=75,(2,4)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(4)=4, Find(5)=3, Add (4,5)=8 Succeeded, w=13\",\"Find(3)=3, Find(4)=3, Add (3,4)=10 Failed, w=13\",\"Find(2)=0, Find(3)=3, Add (2,3)=11 Succeeded, w=24\",\"Find(1)=1, Find(5)=0, Add (1,5)=14 Succeeded, w=38\",\"Find(1)=0, Find(2)=0, Add (1,2)=25 Failed, w=38\",\"Find(0)=0, Find(5)=0, Add (0,5)=32 Failed, w=38\",\"Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=38\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=38\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=38\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,0],[0,3,75],[0,5,32],[1,2,25],[1,3,72],[1,5,14],[2,3,11],[2,4,88],[3,4,10],[3,5,5],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(3,5)=5,(4,5)=8,(3,4)=10,(2,3)=11,(1,5)=14,(1,2)=25,(0,5)=32,(0,1)=44,(1,3)=72,(0,3)=75,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=10 Failed, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3}, Find(2)=0, Find(3)=3, Add (2,3)=11 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=14 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=25 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=32 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=38\"],\"Answer\":38}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,23],[0,2,9],[0,3,41],[0,4,21],[1,3,15],[1,4,11],[1,5,79],[2,3,78],[2,4,66],[2,5,88],[3,4,99],[3,5,1],[4,5,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,9],[0,3,41],[0,4,21],[1,3,15],[1,4,11],[1,5,79],[2,3,78],[2,4,66],[2,5,88],[3,4,99],[3,5,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,9],[0,3,41],[0,4,21],[1,3,15],[1,4,11],[1,5,79],[2,3,78],[2,4,66],[2,5,88],[3,4,99],[3,5,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,9],[0,3,41],[0,4,21],[1,3,15],[1,4,11],[1,5,79],[2,3,78],[2,4,66],[2,5,88],[3,4,99],[3,5,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (0,2)=9, w=10\",\"Add (1,4)=11, w=21\",\"Add (1,3)=15, w=36\",\"Add (0,4)=21, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,9],[0,3,41],[0,4,21],[1,3,15],[1,4,11],[1,5,79],[2,3,78],[2,4,66],[2,5,88],[3,4,99],[3,5,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (0,2)=9 Succeeded, w=10\",\"Add (1,4)=11 Succeeded, w=21\",\"Add (1,3)=15 Succeeded, w=36\",\"Add (0,4)=21 Succeeded, w=57\",\"Add (0,1)=23 Failed, w=57\",\"Add (4,5)=38 Failed, w=57\",\"Add (0,3)=41 Failed, w=57\",\"Add (2,4)=66 Failed, w=57\",\"Add (2,3)=78 Failed, w=57\",\"Add (1,5)=79 Failed, w=57\",\"Add (2,5)=88 Failed, w=57\",\"Add (3,4)=99 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,9],[0,3,41],[0,4,21],[1,3,15],[1,4,11],[1,5,79],[2,3,78],[2,4,66],[2,5,88],[3,4,99],[3,5,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,2)=9,(1,4)=11,(1,3)=15,(0,4)=21,(0,1)=23,(4,5)=38,(0,3)=41,(2,4)=66,(2,3)=78,(1,5)=79,(2,5)=88,(3,4)=99]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=10\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=36\",\"Find(0)=0, Find(4)=1, Add (0,4)=21 Succeeded, w=57\",\"Find(0)=1, Find(1)=1, Add (0,1)=23 Failed, w=57\",\"Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=57\",\"Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=57\",\"Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=57\",\"Find(2)=1, Find(3)=1, Add (2,3)=78 Failed, w=57\",\"Find(1)=1, Find(5)=1, Add (1,5)=79 Failed, w=57\",\"Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=57\",\"Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,9],[0,3,41],[0,4,21],[1,3,15],[1,4,11],[1,5,79],[2,3,78],[2,4,66],[2,5,88],[3,4,99],[3,5,1],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,2)=9,(1,4)=11,(1,3)=15,(0,4)=21,(0,1)=23,(4,5)=38,(0,3)=41,(2,4)=66,(2,3)=78,(1,5)=79,(2,5)=88,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 3}, Find(0)=0, Find(4)=1, Add (0,4)=21 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=23 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=38 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=66 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=78 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=79 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=99 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[0,2,71],[0,3,47],[1,3,16],[2,3,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,71],[0,3,47],[1,3,16],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,71],[0,3,47],[1,3,16],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,71],[0,3,47],[1,3,16],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16, w=16\",\"Add (0,3)=47, w=63\",\"Add (0,2)=71, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,71],[0,3,47],[1,3,16],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=16 Succeeded, w=16\",\"Add (0,3)=47 Succeeded, w=63\",\"Add (0,1)=49 Failed, w=63\",\"Add (0,2)=71 Succeeded, w=134\",\"Add (2,3)=86 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,71],[0,3,47],[1,3,16],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(0,3)=47,(0,1)=49,(0,2)=71,(2,3)=86]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=63\",\"Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=63\",\"Find(0)=1, Find(2)=2, Add (0,2)=71 Succeeded, w=134\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,71],[0,3,47],[1,3,16],[2,3,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=16,(0,3)=47,(0,1)=49,(0,2)=71,(2,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=71 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,2,3],[0,3,38],[0,4,82],[2,3,0],[2,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,3],[0,3,38],[0,4,82],[2,3,0],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,3],[0,3,38],[0,4,82],[2,3,0],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,3],[0,3,38],[0,4,82],[2,3,0],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (2,4)=1, w=1\",\"Add (0,2)=3, w=4\",\"Add (0,1)=80, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,3],[0,3,38],[0,4,82],[2,3,0],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (2,4)=1 Succeeded, w=1\",\"Add (0,2)=3 Succeeded, w=4\",\"Add (0,3)=38 Failed, w=4\",\"Add (0,1)=80 Succeeded, w=84\",\"Add (0,4)=82 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,3],[0,3,38],[0,4,82],[2,3,0],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=1,(0,2)=3,(0,3)=38,(0,1)=80,(0,4)=82]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=4\",\"Find(0)=2, Find(3)=2, Add (0,3)=38 Failed, w=4\",\"Find(0)=2, Find(1)=1, Add (0,1)=80 Succeeded, w=84\",\"Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,3],[0,3,38],[0,4,82],[2,3,0],[2,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=1,(0,2)=3,(0,3)=38,(0,1)=80,(0,4)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=38 Failed, w=4\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=80 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,64],[0,2,8],[0,4,11],[0,5,14],[0,6,31],[1,3,91],[1,4,44],[1,6,5],[2,3,14],[2,4,26],[2,5,87],[3,5,23],[3,6,21],[5,6,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,8],[0,4,11],[0,5,14],[0,6,31],[1,3,91],[1,4,44],[1,6,5],[2,3,14],[2,4,26],[2,5,87],[3,5,23],[3,6,21],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,8],[0,4,11],[0,5,14],[0,6,31],[1,3,91],[1,4,44],[1,6,5],[2,3,14],[2,4,26],[2,5,87],[3,5,23],[3,6,21],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (3,6)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,8],[0,4,11],[0,5,14],[0,6,31],[1,3,91],[1,4,44],[1,6,5],[2,3,14],[2,4,26],[2,5,87],[3,5,23],[3,6,21],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=5, w=5\",\"Add (0,2)=8, w=13\",\"Add (0,4)=11, w=24\",\"Add (0,5)=14, w=38\",\"Add (2,3)=14, w=52\",\"Add (3,6)=21, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,8],[0,4,11],[0,5,14],[0,6,31],[1,3,91],[1,4,44],[1,6,5],[2,3,14],[2,4,26],[2,5,87],[3,5,23],[3,6,21],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=5 Succeeded, w=5\",\"Add (0,2)=8 Succeeded, w=13\",\"Add (0,4)=11 Succeeded, w=24\",\"Add (0,5)=14 Succeeded, w=38\",\"Add (2,3)=14 Succeeded, w=52\",\"Add (3,6)=21 Succeeded, w=73\",\"Add (3,5)=23 Failed, w=73\",\"Add (2,4)=26 Failed, w=73\",\"Add (0,6)=31 Failed, w=73\",\"Add (1,4)=44 Failed, w=73\",\"Add (5,6)=52 Failed, w=73\",\"Add (0,1)=64 Failed, w=73\",\"Add (2,5)=87 Failed, w=73\",\"Add (1,3)=91 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,8],[0,4,11],[0,5,14],[0,6,31],[1,3,91],[1,4,44],[1,6,5],[2,3,14],[2,4,26],[2,5,87],[3,5,23],[3,6,21],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=5,(0,2)=8,(0,4)=11,(0,5)=14,(2,3)=14,(3,6)=21,(3,5)=23,(2,4)=26,(0,6)=31,(1,4)=44,(5,6)=52,(0,1)=64,(2,5)=87,(1,3)=91]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=24\",\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=38\",\"Find(2)=0, Find(3)=3, Add (2,3)=14 Succeeded, w=52\",\"Find(3)=0, Find(6)=1, Add (3,6)=21 Succeeded, w=73\",\"Find(3)=0, Find(5)=0, Add (3,5)=23 Failed, w=73\",\"Find(2)=0, Find(4)=0, Add (2,4)=26 Failed, w=73\",\"Find(0)=0, Find(6)=0, Add (0,6)=31 Failed, w=73\",\"Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=73\",\"Find(5)=0, Find(6)=0, Add (5,6)=52 Failed, w=73\",\"Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=73\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=73\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,64],[0,2,8],[0,4,11],[0,5,14],[0,6,31],[1,3,91],[1,4,44],[1,6,5],[2,3,14],[2,4,26],[2,5,87],[3,5,23],[3,6,21],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=5,(0,2)=8,(0,4)=11,(0,5)=14,(2,3)=14,(3,6)=21,(3,5)=23,(2,4)=26,(0,6)=31,(1,4)=44,(5,6)=52,(0,1)=64,(2,5)=87,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 1}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(3)=3, Add (2,3)=14 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(3)=0, Find(6)=1, Add (3,6)=21 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(3)=0, Find(5)=0, Add (3,5)=23 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(4)=0, Add (2,4)=26 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=31 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=44 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=52 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=64 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,12],[0,3,42],[0,4,16],[0,5,18],[1,2,47],[1,3,13],[1,4,86],[1,5,86],[2,3,69],[2,4,3],[2,5,23],[3,4,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,42],[0,4,16],[0,5,18],[1,2,47],[1,3,13],[1,4,86],[1,5,86],[2,3,69],[2,4,3],[2,5,23],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,42],[0,4,16],[0,5,18],[1,2,47],[1,3,13],[1,4,86],[1,5,86],[2,3,69],[2,4,3],[2,5,23],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (0,5)\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,42],[0,4,16],[0,5,18],[1,2,47],[1,3,13],[1,4,86],[1,5,86],[2,3,69],[2,4,3],[2,5,23],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (2,4)=3, w=3\",\"Add (0,2)=12, w=15\",\"Add (1,3)=13, w=28\",\"Add (0,5)=18, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,42],[0,4,16],[0,5,18],[1,2,47],[1,3,13],[1,4,86],[1,5,86],[2,3,69],[2,4,3],[2,5,23],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (2,4)=3 Succeeded, w=3\",\"Add (0,2)=12 Succeeded, w=15\",\"Add (1,3)=13 Succeeded, w=28\",\"Add (0,4)=16 Failed, w=28\",\"Add (0,5)=18 Succeeded, w=46\",\"Add (2,5)=23 Failed, w=46\",\"Add (0,3)=42 Failed, w=46\",\"Add (1,2)=47 Failed, w=46\",\"Add (2,3)=69 Failed, w=46\",\"Add (1,4)=86 Failed, w=46\",\"Add (1,5)=86 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,42],[0,4,16],[0,5,18],[1,2,47],[1,3,13],[1,4,86],[1,5,86],[2,3,69],[2,4,3],[2,5,23],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(2,4)=3,(0,2)=12,(1,3)=13,(0,4)=16,(0,5)=18,(2,5)=23,(0,3)=42,(1,2)=47,(2,3)=69,(1,4)=86,(1,5)=86]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=3, Add (2,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=3, Add (0,2)=12 Succeeded, w=15\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=28\",\"Find(0)=3, Find(4)=3, Add (0,4)=16 Failed, w=28\",\"Find(0)=3, Find(5)=5, Add (0,5)=18 Succeeded, w=46\",\"Find(2)=3, Find(5)=3, Add (2,5)=23 Failed, w=46\",\"Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=46\",\"Find(1)=3, Find(2)=3, Add (1,2)=47 Failed, w=46\",\"Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=46\",\"Find(1)=3, Find(4)=3, Add (1,4)=86 Failed, w=46\",\"Find(1)=3, Find(5)=3, Add (1,5)=86 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,12],[0,3,42],[0,4,16],[0,5,18],[1,2,47],[1,3,13],[1,4,86],[1,5,86],[2,3,69],[2,4,3],[2,5,23],[3,4,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(2,4)=3,(0,2)=12,(1,3)=13,(0,4)=16,(0,5)=18,(2,5)=23,(0,3)=42,(1,2)=47,(2,3)=69,(1,4)=86,(1,5)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(2)=3, Add (0,2)=12 Succeeded, w=15\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=28\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(0)=3, Find(4)=3, Add (0,4)=16 Failed, w=28\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=5, Add (0,5)=18 Succeeded, w=46\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=23 Failed, w=46\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=46\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=47 Failed, w=46\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=46\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=86 Failed, w=46\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=86 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,14],[0,2,32],[0,3,70],[1,2,1],[1,3,94],[2,3,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,32],[0,3,70],[1,2,1],[1,3,94],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,32],[0,3,70],[1,2,1],[1,3,94],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,32],[0,3,70],[1,2,1],[1,3,94],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,1)=14, w=15\",\"Add (2,3)=19, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,32],[0,3,70],[1,2,1],[1,3,94],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,1)=14 Succeeded, w=15\",\"Add (2,3)=19 Succeeded, w=34\",\"Add (0,2)=32 Failed, w=34\",\"Add (0,3)=70 Failed, w=34\",\"Add (1,3)=94 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,32],[0,3,70],[1,2,1],[1,3,94],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=14,(2,3)=19,(0,2)=32,(0,3)=70,(1,3)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=15\",\"Find(2)=1, Find(3)=3, Add (2,3)=19 Succeeded, w=34\",\"Find(0)=1, Find(2)=1, Add (0,2)=32 Failed, w=34\",\"Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=34\",\"Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,14],[0,2,32],[0,3,70],[1,2,1],[1,3,94],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=14,(2,3)=19,(0,2)=32,(0,3)=70,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=15\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=19 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=32 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=70 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=34\"],\"Answer\":34}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,16],[0,2,72],[0,3,19],[0,4,94],[1,2,94],[1,3,33],[1,4,6],[2,3,60],[2,4,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,16],[0,2,72],[0,3,19],[0,4,94],[1,2,94],[1,3,33],[1,4,6],[2,3,60],[2,4,31]]}",
"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\":[[0,1,16],[0,2,72],[0,3,19],[0,4,94],[1,2,94],[1,3,33],[1,4,6],[2,3,60],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (0,3)\",\"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\":[[0,1,16],[0,2,72],[0,3,19],[0,4,94],[1,2,94],[1,3,33],[1,4,6],[2,3,60],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6, w=6\",\"Add (0,1)=16, w=22\",\"Add (0,3)=19, 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\":[[0,1,16],[0,2,72],[0,3,19],[0,4,94],[1,2,94],[1,3,33],[1,4,6],[2,3,60],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=6 Succeeded, w=6\",\"Add (0,1)=16 Succeeded, w=22\",\"Add (0,3)=19 Succeeded, w=41\",\"Add (2,4)=31 Succeeded, w=72\",\"Add (1,3)=33 Failed, w=72\",\"Add (2,3)=60 Failed, w=72\",\"Add (0,2)=72 Failed, w=72\",\"Add (0,4)=94 Failed, w=72\",\"Add (1,2)=94 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\":[[0,1,16],[0,2,72],[0,3,19],[0,4,94],[1,2,94],[1,3,33],[1,4,6],[2,3,60],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(0,1)=16,(0,3)=19,(2,4)=31,(1,3)=33,(2,3)=60,(0,2)=72,(0,4)=94,(1,2)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=22\",\"Find(0)=1, Find(3)=3, Add (0,3)=19 Succeeded, w=41\",\"Find(2)=2, Find(4)=1, Add (2,4)=31 Succeeded, w=72\",\"Find(1)=1, Find(3)=1, Add (1,3)=33 Failed, w=72\",\"Find(2)=1, Find(3)=1, Add (2,3)=60 Failed, w=72\",\"Find(0)=1, Find(2)=1, Add (0,2)=72 Failed, w=72\",\"Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=72\",\"Find(1)=1, Find(2)=1, Add (1,2)=94 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\":[[0,1,16],[0,2,72],[0,3,19],[0,4,94],[1,2,94],[1,3,33],[1,4,6],[2,3,60],[2,4,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=6,(0,1)=16,(0,3)=19,(2,4)=31,(1,3)=33,(2,3)=60,(0,2)=72,(0,4)=94,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=19 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=31 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=33 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=60 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=72 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=94 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,96],[0,2,0],[0,3,14],[0,4,7],[0,5,3],[0,6,96],[1,2,81],[1,3,99],[1,4,45],[1,5,9],[1,6,56],[2,3,87],[2,4,66],[2,5,26],[2,6,46],[3,4,4],[3,5,18],[3,6,51],[4,5,32],[4,6,23],[5,6,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,0],[0,3,14],[0,4,7],[0,5,3],[0,6,96],[1,2,81],[1,3,99],[1,4,45],[1,5,9],[1,6,56],[2,3,87],[2,4,66],[2,5,26],[2,6,46],[3,4,4],[3,5,18],[3,6,51],[4,5,32],[4,6,23],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,0],[0,3,14],[0,4,7],[0,5,3],[0,6,96],[1,2,81],[1,3,99],[1,4,45],[1,5,9],[1,6,56],[2,3,87],[2,4,66],[2,5,26],[2,6,46],[3,4,4],[3,5,18],[3,6,51],[4,5,32],[4,6,23],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (4,6)\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,0],[0,3,14],[0,4,7],[0,5,3],[0,6,96],[1,2,81],[1,3,99],[1,4,45],[1,5,9],[1,6,56],[2,3,87],[2,4,66],[2,5,26],[2,6,46],[3,4,4],[3,5,18],[3,6,51],[4,5,32],[4,6,23],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (0,5)=3, w=3\",\"Add (3,4)=4, w=7\",\"Add (0,4)=7, w=14\",\"Add (1,5)=9, w=23\",\"Add (4,6)=23, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,0],[0,3,14],[0,4,7],[0,5,3],[0,6,96],[1,2,81],[1,3,99],[1,4,45],[1,5,9],[1,6,56],[2,3,87],[2,4,66],[2,5,26],[2,6,46],[3,4,4],[3,5,18],[3,6,51],[4,5,32],[4,6,23],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (0,5)=3 Succeeded, w=3\",\"Add (3,4)=4 Succeeded, w=7\",\"Add (0,4)=7 Succeeded, w=14\",\"Add (1,5)=9 Succeeded, w=23\",\"Add (0,3)=14 Failed, w=23\",\"Add (3,5)=18 Failed, w=23\",\"Add (4,6)=23 Succeeded, w=46\",\"Add (2,5)=26 Failed, w=46\",\"Add (4,5)=32 Failed, w=46\",\"Add (1,4)=45 Failed, w=46\",\"Add (5,6)=45 Failed, w=46\",\"Add (2,6)=46 Failed, w=46\",\"Add (3,6)=51 Failed, w=46\",\"Add (1,6)=56 Failed, w=46\",\"Add (2,4)=66 Failed, w=46\",\"Add (1,2)=81 Failed, w=46\",\"Add (2,3)=87 Failed, w=46\",\"Add (0,1)=96 Failed, w=46\",\"Add (0,6)=96 Failed, w=46\",\"Add (1,3)=99 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,0],[0,3,14],[0,4,7],[0,5,3],[0,6,96],[1,2,81],[1,3,99],[1,4,45],[1,5,9],[1,6,56],[2,3,87],[2,4,66],[2,5,26],[2,6,46],[3,4,4],[3,5,18],[3,6,51],[4,5,32],[4,6,23],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,5)=3,(3,4)=4,(0,4)=7,(1,5)=9,(0,3)=14,(3,5)=18,(4,6)=23,(2,5)=26,(4,5)=32,(1,4)=45,(5,6)=45,(2,6)=46,(3,6)=51,(1,6)=56,(2,4)=66,(1,2)=81,(2,3)=87,(0,1)=96,(0,6)=96,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=7\",\"Find(0)=0, Find(4)=3, Add (0,4)=7 Succeeded, w=14\",\"Find(1)=1, Find(5)=0, Add (1,5)=9 Succeeded, w=23\",\"Find(0)=0, Find(3)=0, Add (0,3)=14 Failed, w=23\",\"Find(3)=0, Find(5)=0, Add (3,5)=18 Failed, w=23\",\"Find(4)=0, Find(6)=6, Add (4,6)=23 Succeeded, w=46\",\"Find(2)=0, Find(5)=0, Add (2,5)=26 Failed, w=46\",\"Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=46\",\"Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=46\",\"Find(5)=0, Find(6)=0, Add (5,6)=45 Failed, w=46\",\"Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=46\",\"Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=46\",\"Find(1)=0, Find(6)=0, Add (1,6)=56 Failed, w=46\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=46\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=46\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=46\",\"Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=46\",\"Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=46\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,0],[0,3,14],[0,4,7],[0,5,3],[0,6,96],[1,2,81],[1,3,99],[1,4,45],[1,5,9],[1,6,56],[2,3,87],[2,4,66],[2,5,26],[2,6,46],[3,4,4],[3,5,18],[3,6,51],[4,5,32],[4,6,23],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,5)=3,(3,4)=4,(0,4)=7,(1,5)=9,(0,3)=14,(3,5)=18,(4,6)=23,(2,5)=26,(4,5)=32,(1,4)=45,(5,6)=45,(2,6)=46,(3,6)=51,(1,6)=56,(2,4)=66,(1,2)=81,(2,3)=87,(0,1)=96,(0,6)=96,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(4)=3, Add (0,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=9 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(0)=0, Find(3)=0, Add (0,3)=14 Failed, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(3)=0, Find(5)=0, Add (3,5)=18 Failed, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=23 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=26 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=45 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=45 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=51 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=56 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=96 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=96 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,79],[0,2,30],[0,4,94],[0,6,53],[1,2,44],[1,5,51],[1,6,91],[2,4,15],[2,5,9],[3,4,9],[3,6,26],[5,6,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,30],[0,4,94],[0,6,53],[1,2,44],[1,5,51],[1,6,91],[2,4,15],[2,5,9],[3,4,9],[3,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,30],[0,4,94],[0,6,53],[1,2,44],[1,5,51],[1,6,91],[2,4,15],[2,5,9],[3,4,9],[3,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,30],[0,4,94],[0,6,53],[1,2,44],[1,5,51],[1,6,91],[2,4,15],[2,5,9],[3,4,9],[3,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=9, w=9\",\"Add (3,4)=9, w=18\",\"Add (2,4)=15, w=33\",\"Add (3,6)=26, w=59\",\"Add (0,2)=30, w=89\",\"Add (1,2)=44, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,30],[0,4,94],[0,6,53],[1,2,44],[1,5,51],[1,6,91],[2,4,15],[2,5,9],[3,4,9],[3,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=9 Succeeded, w=9\",\"Add (3,4)=9 Succeeded, w=18\",\"Add (2,4)=15 Succeeded, w=33\",\"Add (3,6)=26 Succeeded, w=59\",\"Add (0,2)=30 Succeeded, w=89\",\"Add (1,2)=44 Succeeded, w=133\",\"Add (1,5)=51 Failed, w=133\",\"Add (5,6)=52 Failed, w=133\",\"Add (0,6)=53 Failed, w=133\",\"Add (0,1)=79 Failed, w=133\",\"Add (1,6)=91 Failed, w=133\",\"Add (0,4)=94 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,30],[0,4,94],[0,6,53],[1,2,44],[1,5,51],[1,6,91],[2,4,15],[2,5,9],[3,4,9],[3,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=9,(3,4)=9,(2,4)=15,(3,6)=26,(0,2)=30,(1,2)=44,(1,5)=51,(5,6)=52,(0,6)=53,(0,1)=79,(1,6)=91,(0,4)=94]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=18\",\"Find(2)=2, Find(4)=3, Add (2,4)=15 Succeeded, w=33\",\"Find(3)=2, Find(6)=6, Add (3,6)=26 Succeeded, w=59\",\"Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=89\",\"Find(1)=1, Find(2)=2, Add (1,2)=44 Succeeded, w=133\",\"Find(1)=2, Find(5)=2, Add (1,5)=51 Failed, w=133\",\"Find(5)=2, Find(6)=2, Add (5,6)=52 Failed, w=133\",\"Find(0)=2, Find(6)=2, Add (0,6)=53 Failed, w=133\",\"Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=133\",\"Find(1)=2, Find(6)=2, Add (1,6)=91 Failed, w=133\",\"Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,30],[0,4,94],[0,6,53],[1,2,44],[1,5,51],[1,6,91],[2,4,15],[2,5,9],[3,4,9],[3,6,26],[5,6,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=9,(3,4)=9,(2,4)=15,(3,6)=26,(0,2)=30,(1,2)=44,(1,5)=51,(5,6)=52,(0,6)=53,(0,1)=79,(1,6)=91,(0,4)=94]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 6}, Find(2)=2, Find(4)=3, Add (2,4)=15 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=26 Succeeded, w=59\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=30 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=44 Succeeded, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=51 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=52 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=53 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=91 Failed, w=133\",\"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=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,87],[0,4,19],[0,5,85],[0,6,27],[0,7,30],[1,3,91],[1,7,54],[2,3,57],[2,4,51],[2,5,61],[2,6,87],[2,7,52],[3,4,52],[3,5,56],[4,6,52],[4,7,100],[6,7,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,4,19],[0,5,85],[0,6,27],[0,7,30],[1,3,91],[1,7,54],[2,3,57],[2,4,51],[2,5,61],[2,6,87],[2,7,52],[3,4,52],[3,5,56],[4,6,52],[4,7,100],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,4,19],[0,5,85],[0,6,27],[0,7,30],[1,3,91],[1,7,54],[2,3,57],[2,4,51],[2,5,61],[2,6,87],[2,7,52],[3,4,52],[3,5,56],[4,6,52],[4,7,100],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (1,7)\",\"Add (3,5)\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,4,19],[0,5,85],[0,6,27],[0,7,30],[1,3,91],[1,7,54],[2,3,57],[2,4,51],[2,5,61],[2,6,87],[2,7,52],[3,4,52],[3,5,56],[4,6,52],[4,7,100],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=12, w=12\",\"Add (0,4)=19, w=31\",\"Add (0,6)=27, w=58\",\"Add (2,4)=51, w=109\",\"Add (3,4)=52, w=161\",\"Add (1,7)=54, w=215\",\"Add (3,5)=56, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,4,19],[0,5,85],[0,6,27],[0,7,30],[1,3,91],[1,7,54],[2,3,57],[2,4,51],[2,5,61],[2,6,87],[2,7,52],[3,4,52],[3,5,56],[4,6,52],[4,7,100],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=12 Succeeded, w=12\",\"Add (0,4)=19 Succeeded, w=31\",\"Add (0,6)=27 Succeeded, w=58\",\"Add (0,7)=30 Failed, w=58\",\"Add (2,4)=51 Succeeded, w=109\",\"Add (2,7)=52 Failed, w=109\",\"Add (3,4)=52 Succeeded, w=161\",\"Add (4,6)=52 Failed, w=161\",\"Add (1,7)=54 Succeeded, w=215\",\"Add (3,5)=56 Succeeded, w=271\",\"Add (2,3)=57 Failed, w=271\",\"Add (2,5)=61 Failed, w=271\",\"Add (0,5)=85 Failed, w=271\",\"Add (0,2)=87 Failed, w=271\",\"Add (2,6)=87 Failed, w=271\",\"Add (1,3)=91 Failed, w=271\",\"Add (4,7)=100 Failed, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,4,19],[0,5,85],[0,6,27],[0,7,30],[1,3,91],[1,7,54],[2,3,57],[2,4,51],[2,5,61],[2,6,87],[2,7,52],[3,4,52],[3,5,56],[4,6,52],[4,7,100],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=12,(0,4)=19,(0,6)=27,(0,7)=30,(2,4)=51,(2,7)=52,(3,4)=52,(4,6)=52,(1,7)=54,(3,5)=56,(2,3)=57,(2,5)=61,(0,5)=85,(0,2)=87,(2,6)=87,(1,3)=91,(4,7)=100]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=12 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=31\",\"Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=58\",\"Find(0)=0, Find(7)=0, Add (0,7)=30 Failed, w=58\",\"Find(2)=2, Find(4)=0, Add (2,4)=51 Succeeded, w=109\",\"Find(2)=0, Find(7)=0, Add (2,7)=52 Failed, w=109\",\"Find(3)=3, Find(4)=0, Add (3,4)=52 Succeeded, w=161\",\"Find(4)=0, Find(6)=0, Add (4,6)=52 Failed, w=161\",\"Find(1)=1, Find(7)=0, Add (1,7)=54 Succeeded, w=215\",\"Find(3)=0, Find(5)=5, Add (3,5)=56 Succeeded, w=271\",\"Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=271\",\"Find(2)=0, Find(5)=0, Add (2,5)=61 Failed, w=271\",\"Find(0)=0, Find(5)=0, Add (0,5)=85 Failed, w=271\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=271\",\"Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=271\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=271\",\"Find(4)=0, Find(7)=0, Add (4,7)=100 Failed, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,4,19],[0,5,85],[0,6,27],[0,7,30],[1,3,91],[1,7,54],[2,3,57],[2,4,51],[2,5,61],[2,6,87],[2,7,52],[3,4,52],[3,5,56],[4,6,52],[4,7,100],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=12,(0,4)=19,(0,6)=27,(0,7)=30,(2,4)=51,(2,7)=52,(3,4)=52,(4,6)=52,(1,7)=54,(3,5)=56,(2,3)=57,(2,5)=61,(0,5)=85,(0,2)=87,(2,6)=87,(1,3)=91,(4,7)=100]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=30 Failed, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=2, Find(4)=0, Add (2,4)=51 Succeeded, w=109\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=52 Failed, w=109\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=3, Find(4)=0, Add (3,4)=52 Succeeded, w=161\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=52 Failed, w=161\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=54 Succeeded, w=215\",\"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)=56 Succeeded, w=271\",\"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)=57 Failed, w=271\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=61 Failed, w=271\",\"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)=85 Failed, w=271\",\"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=271\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=87 Failed, w=271\",\"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=271\",\"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)=100 Failed, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,8],[0,2,39],[0,3,46],[1,3,59],[2,3,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,39],[0,3,46],[1,3,59],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,39],[0,3,46],[1,3,59],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,39],[0,3,46],[1,3,59],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (2,3)=19, w=27\",\"Add (0,2)=39, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,39],[0,3,46],[1,3,59],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (2,3)=19 Succeeded, w=27\",\"Add (0,2)=39 Succeeded, w=66\",\"Add (0,3)=46 Failed, w=66\",\"Add (1,3)=59 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,39],[0,3,46],[1,3,59],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(2,3)=19,(0,2)=39,(0,3)=46,(1,3)=59]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=66\",\"Find(0)=0, Find(3)=0, Add (0,3)=46 Failed, w=66\",\"Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,2,39],[0,3,46],[1,3,59],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(2,3)=19,(0,2)=39,(0,3)=46,(1,3)=59]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=46 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=59 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,14],[0,6,9],[1,2,44],[1,4,8],[1,6,96],[2,4,96],[2,6,79],[3,4,24],[3,5,9],[4,5,1],[5,6,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,14],[0,6,9],[1,2,44],[1,4,8],[1,6,96],[2,4,96],[2,6,79],[3,4,24],[3,5,9],[4,5,1],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,14],[0,6,9],[1,2,44],[1,4,8],[1,6,96],[2,4,96],[2,6,79],[3,4,24],[3,5,9],[4,5,1],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,14],[0,6,9],[1,2,44],[1,4,8],[1,6,96],[2,4,96],[2,6,79],[3,4,24],[3,5,9],[4,5,1],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (1,4)=8, w=9\",\"Add (0,6)=9, w=18\",\"Add (3,5)=9, w=27\",\"Add (0,3)=14, w=41\",\"Add (1,2)=44, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,14],[0,6,9],[1,2,44],[1,4,8],[1,6,96],[2,4,96],[2,6,79],[3,4,24],[3,5,9],[4,5,1],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (1,4)=8 Succeeded, w=9\",\"Add (0,6)=9 Succeeded, w=18\",\"Add (3,5)=9 Succeeded, w=27\",\"Add (0,3)=14 Succeeded, w=41\",\"Add (3,4)=24 Failed, w=41\",\"Add (5,6)=25 Failed, w=41\",\"Add (1,2)=44 Succeeded, w=85\",\"Add (2,6)=79 Failed, w=85\",\"Add (1,6)=96 Failed, w=85\",\"Add (2,4)=96 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,14],[0,6,9],[1,2,44],[1,4,8],[1,6,96],[2,4,96],[2,6,79],[3,4,24],[3,5,9],[4,5,1],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,4)=8,(0,6)=9,(3,5)=9,(0,3)=14,(3,4)=24,(5,6)=25,(1,2)=44,(2,6)=79,(1,6)=96,(2,4)=96]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=9\",\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=18\",\"Find(3)=3, Find(5)=4, Add (3,5)=9 Succeeded, w=27\",\"Find(0)=0, Find(3)=4, Add (0,3)=14 Succeeded, w=41\",\"Find(3)=0, Find(4)=0, Add (3,4)=24 Failed, w=41\",\"Find(5)=0, Find(6)=0, Add (5,6)=25 Failed, w=41\",\"Find(1)=0, Find(2)=2, Add (1,2)=44 Succeeded, w=85\",\"Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=85\",\"Find(1)=0, Find(6)=0, Add (1,6)=96 Failed, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,14],[0,6,9],[1,2,44],[1,4,8],[1,6,96],[2,4,96],[2,6,79],[3,4,24],[3,5,9],[4,5,1],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,4)=8,(0,6)=9,(3,5)=9,(0,3)=14,(3,4)=24,(5,6)=25,(1,2)=44,(2,6)=79,(1,6)=96,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 0}, Find(3)=3, Find(5)=4, Add (3,5)=9 Succeeded, w=27\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(3)=4, Add (0,3)=14 Succeeded, w=41\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 0, 5: 4, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=24 Failed, w=41\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=25 Failed, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=2, Add (1,2)=44 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=79 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=96 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,67],[0,2,34],[0,3,50],[1,2,17],[1,3,38],[2,3,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,34],[0,3,50],[1,2,17],[1,3,38],[2,3,5]]}",
"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],[0,2,34],[0,3,50],[1,2,17],[1,3,38],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"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],[0,2,34],[0,3,50],[1,2,17],[1,3,38],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (1,2)=17, w=22\",\"Add (0,2)=34, 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],[0,2,34],[0,3,50],[1,2,17],[1,3,38],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (1,2)=17 Succeeded, w=22\",\"Add (0,2)=34 Succeeded, w=56\",\"Add (1,3)=38 Failed, w=56\",\"Add (0,3)=50 Failed, w=56\",\"Add (0,1)=67 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],[0,2,34],[0,3,50],[1,2,17],[1,3,38],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,2)=17,(0,2)=34,(1,3)=38,(0,3)=50,(0,1)=67]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=22\",\"Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=56\",\"Find(1)=2, Find(3)=2, Add (1,3)=38 Failed, w=56\",\"Find(0)=2, Find(3)=2, Add (0,3)=50 Failed, w=56\",\"Find(0)=2, Find(1)=2, Add (0,1)=67 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],[0,2,34],[0,3,50],[1,2,17],[1,3,38],[2,3,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,2)=17,(0,2)=34,(1,3)=38,(0,3)=50,(0,1)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=34 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=38 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=50 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,28],[0,3,41],[1,2,3],[1,3,18],[1,4,5],[3,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,41],[1,2,3],[1,3,18],[1,4,5],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,41],[1,2,3],[1,3,18],[1,4,5],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,41],[1,2,3],[1,3,18],[1,4,5],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (3,4)=3, w=6\",\"Add (1,4)=5, w=11\",\"Add (0,2)=28, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,41],[1,2,3],[1,3,18],[1,4,5],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (3,4)=3 Succeeded, w=6\",\"Add (1,4)=5 Succeeded, w=11\",\"Add (1,3)=18 Failed, w=11\",\"Add (0,2)=28 Succeeded, w=39\",\"Add (0,3)=41 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,41],[1,2,3],[1,3,18],[1,4,5],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(3,4)=3,(1,4)=5,(1,3)=18,(0,2)=28,(0,3)=41]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=6\",\"Find(1)=1, Find(4)=3, Add (1,4)=5 Succeeded, w=11\",\"Find(1)=1, Find(3)=1, Add (1,3)=18 Failed, w=11\",\"Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=39\",\"Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,28],[0,3,41],[1,2,3],[1,3,18],[1,4,5],[3,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(3,4)=3,(1,4)=5,(1,3)=18,(0,2)=28,(0,3)=41]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=5 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=1, Add (1,3)=18 Failed, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=0, Find(2)=1, Add (0,2)=28 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(3)=1, Add (0,3)=41 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,80],[0,3,78],[0,5,39],[1,3,82],[1,4,72],[1,5,39],[2,3,76],[2,4,35],[2,5,9],[3,4,97],[3,5,2],[4,5,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,80],[0,3,78],[0,5,39],[1,3,82],[1,4,72],[1,5,39],[2,3,76],[2,4,35],[2,5,9],[3,4,97],[3,5,2],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,80],[0,3,78],[0,5,39],[1,3,82],[1,4,72],[1,5,39],[2,3,76],[2,4,35],[2,5,9],[3,4,97],[3,5,2],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,5)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,80],[0,3,78],[0,5,39],[1,3,82],[1,4,72],[1,5,39],[2,3,76],[2,4,35],[2,5,9],[3,4,97],[3,5,2],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2, w=2\",\"Add (2,5)=9, w=11\",\"Add (2,4)=35, w=46\",\"Add (0,5)=39, w=85\",\"Add (1,5)=39, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,80],[0,3,78],[0,5,39],[1,3,82],[1,4,72],[1,5,39],[2,3,76],[2,4,35],[2,5,9],[3,4,97],[3,5,2],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=2 Succeeded, w=2\",\"Add (2,5)=9 Succeeded, w=11\",\"Add (2,4)=35 Succeeded, w=46\",\"Add (0,5)=39 Succeeded, w=85\",\"Add (1,5)=39 Succeeded, w=124\",\"Add (4,5)=43 Failed, w=124\",\"Add (0,1)=61 Failed, w=124\",\"Add (1,4)=72 Failed, w=124\",\"Add (2,3)=76 Failed, w=124\",\"Add (0,3)=78 Failed, w=124\",\"Add (0,2)=80 Failed, w=124\",\"Add (1,3)=82 Failed, w=124\",\"Add (3,4)=97 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,80],[0,3,78],[0,5,39],[1,3,82],[1,4,72],[1,5,39],[2,3,76],[2,4,35],[2,5,9],[3,4,97],[3,5,2],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(2,5)=9,(2,4)=35,(0,5)=39,(1,5)=39,(4,5)=43,(0,1)=61,(1,4)=72,(2,3)=76,(0,3)=78,(0,2)=80,(1,3)=82,(3,4)=97]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Find(2)=2, Find(5)=3, Add (2,5)=9 Succeeded, w=11\",\"Find(2)=3, Find(4)=4, Add (2,4)=35 Succeeded, w=46\",\"Find(0)=0, Find(5)=3, Add (0,5)=39 Succeeded, w=85\",\"Find(1)=1, Find(5)=3, Add (1,5)=39 Succeeded, w=124\",\"Find(4)=3, Find(5)=3, Add (4,5)=43 Failed, w=124\",\"Find(0)=3, Find(1)=3, Add (0,1)=61 Failed, w=124\",\"Find(1)=3, Find(4)=3, Add (1,4)=72 Failed, w=124\",\"Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=124\",\"Find(0)=3, Find(3)=3, Add (0,3)=78 Failed, w=124\",\"Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=124\",\"Find(1)=3, Find(3)=3, Add (1,3)=82 Failed, w=124\",\"Find(3)=3, Find(4)=3, Add (3,4)=97 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,80],[0,3,78],[0,5,39],[1,3,82],[1,4,72],[1,5,39],[2,3,76],[2,4,35],[2,5,9],[3,4,97],[3,5,2],[4,5,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=2,(2,5)=9,(2,4)=35,(0,5)=39,(1,5)=39,(4,5)=43,(0,1)=61,(1,4)=72,(2,3)=76,(0,3)=78,(0,2)=80,(1,3)=82,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=4, Add (2,4)=35 Succeeded, w=46\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=39 Succeeded, w=85\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=39 Succeeded, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=43 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=61 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=72 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=78 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=82 Failed, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=3, Add (3,4)=97 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,40],[0,4,87],[1,2,95],[2,4,2],[3,4,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,4,87],[1,2,95],[2,4,2],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,4,87],[1,2,95],[2,4,2],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,4,87],[1,2,95],[2,4,2],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,2)=40, w=42\",\"Add (3,4)=43, w=85\",\"Add (1,2)=95, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,4,87],[1,2,95],[2,4,2],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,2)=40 Succeeded, w=42\",\"Add (3,4)=43 Succeeded, w=85\",\"Add (0,4)=87 Failed, w=85\",\"Add (1,2)=95 Succeeded, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,4,87],[1,2,95],[2,4,2],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,2)=40,(3,4)=43,(0,4)=87,(1,2)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=42\",\"Find(3)=3, Find(4)=2, Add (3,4)=43 Succeeded, w=85\",\"Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=85\",\"Find(1)=1, Find(2)=2, Add (1,2)=95 Succeeded, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,40],[0,4,87],[1,2,95],[2,4,2],[3,4,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,2)=40,(3,4)=43,(0,4)=87,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=40 Succeeded, w=42\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=43 Succeeded, w=85\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=95 Succeeded, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,49],[0,2,60],[0,3,92],[0,4,74],[0,5,12],[1,2,28],[1,3,2],[1,4,28],[1,6,58],[1,7,68],[2,3,75],[2,5,27],[2,6,38],[2,7,90],[3,4,47],[3,5,84],[3,6,30],[4,5,52],[4,6,91],[4,7,15],[5,7,82],[6,7,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,60],[0,3,92],[0,4,74],[0,5,12],[1,2,28],[1,3,2],[1,4,28],[1,6,58],[1,7,68],[2,3,75],[2,5,27],[2,6,38],[2,7,90],[3,4,47],[3,5,84],[3,6,30],[4,5,52],[4,6,91],[4,7,15],[5,7,82],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,60],[0,3,92],[0,4,74],[0,5,12],[1,2,28],[1,3,2],[1,4,28],[1,6,58],[1,7,68],[2,3,75],[2,5,27],[2,6,38],[2,7,90],[3,4,47],[3,5,84],[3,6,30],[4,5,52],[4,6,91],[4,7,15],[5,7,82],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,5)\",\"Add (4,7)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (3,6)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,60],[0,3,92],[0,4,74],[0,5,12],[1,2,28],[1,3,2],[1,4,28],[1,6,58],[1,7,68],[2,3,75],[2,5,27],[2,6,38],[2,7,90],[3,4,47],[3,5,84],[3,6,30],[4,5,52],[4,6,91],[4,7,15],[5,7,82],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,5)=12, w=14\",\"Add (4,7)=15, w=29\",\"Add (2,5)=27, w=56\",\"Add (1,2)=28, w=84\",\"Add (1,4)=28, w=112\",\"Add (3,6)=30, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,60],[0,3,92],[0,4,74],[0,5,12],[1,2,28],[1,3,2],[1,4,28],[1,6,58],[1,7,68],[2,3,75],[2,5,27],[2,6,38],[2,7,90],[3,4,47],[3,5,84],[3,6,30],[4,5,52],[4,6,91],[4,7,15],[5,7,82],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,5)=12 Succeeded, w=14\",\"Add (4,7)=15 Succeeded, w=29\",\"Add (2,5)=27 Succeeded, w=56\",\"Add (1,2)=28 Succeeded, w=84\",\"Add (1,4)=28 Succeeded, w=112\",\"Add (3,6)=30 Succeeded, w=142\",\"Add (2,6)=38 Failed, w=142\",\"Add (3,4)=47 Failed, w=142\",\"Add (0,1)=49 Failed, w=142\",\"Add (4,5)=52 Failed, w=142\",\"Add (1,6)=58 Failed, w=142\",\"Add (0,2)=60 Failed, w=142\",\"Add (1,7)=68 Failed, w=142\",\"Add (0,4)=74 Failed, w=142\",\"Add (2,3)=75 Failed, w=142\",\"Add (5,7)=82 Failed, w=142\",\"Add (3,5)=84 Failed, w=142\",\"Add (2,7)=90 Failed, w=142\",\"Add (4,6)=91 Failed, w=142\",\"Add (0,3)=92 Failed, w=142\",\"Add (6,7)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,60],[0,3,92],[0,4,74],[0,5,12],[1,2,28],[1,3,2],[1,4,28],[1,6,58],[1,7,68],[2,3,75],[2,5,27],[2,6,38],[2,7,90],[3,4,47],[3,5,84],[3,6,30],[4,5,52],[4,6,91],[4,7,15],[5,7,82],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,5)=12,(4,7)=15,(2,5)=27,(1,2)=28,(1,4)=28,(3,6)=30,(2,6)=38,(3,4)=47,(0,1)=49,(4,5)=52,(1,6)=58,(0,2)=60,(1,7)=68,(0,4)=74,(2,3)=75,(5,7)=82,(3,5)=84,(2,7)=90,(4,6)=91,(0,3)=92,(6,7)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=14\",\"Find(4)=4, Find(7)=7, Add (4,7)=15 Succeeded, w=29\",\"Find(2)=2, Find(5)=0, Add (2,5)=27 Succeeded, w=56\",\"Find(1)=1, Find(2)=0, Add (1,2)=28 Succeeded, w=84\",\"Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=112\",\"Find(3)=1, Find(6)=6, Add (3,6)=30 Succeeded, w=142\",\"Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=142\",\"Find(3)=1, Find(4)=1, Add (3,4)=47 Failed, w=142\",\"Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=142\",\"Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=142\",\"Find(1)=1, Find(6)=1, Add (1,6)=58 Failed, w=142\",\"Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=142\",\"Find(1)=1, Find(7)=1, Add (1,7)=68 Failed, w=142\",\"Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=142\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=142\",\"Find(5)=1, Find(7)=1, Add (5,7)=82 Failed, w=142\",\"Find(3)=1, Find(5)=1, Add (3,5)=84 Failed, w=142\",\"Find(2)=1, Find(7)=1, Add (2,7)=90 Failed, w=142\",\"Find(4)=1, Find(6)=1, Add (4,6)=91 Failed, w=142\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=142\",\"Find(6)=1, Find(7)=1, Add (6,7)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,60],[0,3,92],[0,4,74],[0,5,12],[1,2,28],[1,3,2],[1,4,28],[1,6,58],[1,7,68],[2,3,75],[2,5,27],[2,6,38],[2,7,90],[3,4,47],[3,5,84],[3,6,30],[4,5,52],[4,6,91],[4,7,15],[5,7,82],[6,7,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,5)=12,(4,7)=15,(2,5)=27,(1,2)=28,(1,4)=28,(3,6)=30,(2,6)=38,(3,4)=47,(0,1)=49,(4,5)=52,(1,6)=58,(0,2)=60,(1,7)=68,(0,4)=74,(2,3)=75,(5,7)=82,(3,5)=84,(2,7)=90,(4,6)=91,(0,3)=92,(6,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 6, 7: 4}, Find(2)=2, Find(5)=0, Add (2,5)=27 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 6, 7: 4}, Find(1)=1, Find(2)=0, Add (1,2)=28 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 6, 7: 4}, Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 4}, Find(3)=1, Find(6)=6, Add (3,6)=30 Succeeded, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 4}, Find(2)=1, Find(6)=1, Add (2,6)=38 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 4}, Find(3)=1, Find(4)=1, Add (3,4)=47 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 4}, Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(4)=1, Find(5)=1, Add (4,5)=52 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(6)=1, Add (1,6)=58 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=142\",\"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)=68 Failed, w=142\",\"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)=74 Failed, w=142\",\"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)=75 Failed, w=142\",\"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)=82 Failed, w=142\",\"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)=84 Failed, w=142\",\"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)=90 Failed, w=142\",\"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)=91 Failed, w=142\",\"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)=92 Failed, w=142\",\"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)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,3,40],[0,4,8],[0,5,23],[1,2,48],[1,3,39],[1,4,99],[1,5,15],[2,4,97],[2,5,79],[3,4,78],[3,5,30],[4,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,40],[0,4,8],[0,5,23],[1,2,48],[1,3,39],[1,4,99],[1,5,15],[2,4,97],[2,5,79],[3,4,78],[3,5,30],[4,5,80]]}",
"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],\"edges\":[[0,1,6],[0,3,40],[0,4,8],[0,5,23],[1,2,48],[1,3,39],[1,4,99],[1,5,15],[2,4,97],[2,5,79],[3,4,78],[3,5,30],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (3,5)\",\"Add (1,2)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,40],[0,4,8],[0,5,23],[1,2,48],[1,3,39],[1,4,99],[1,5,15],[2,4,97],[2,5,79],[3,4,78],[3,5,30],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (0,4)=8, w=14\",\"Add (1,5)=15, w=29\",\"Add (3,5)=30, w=59\",\"Add (1,2)=48, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,3,40],[0,4,8],[0,5,23],[1,2,48],[1,3,39],[1,4,99],[1,5,15],[2,4,97],[2,5,79],[3,4,78],[3,5,30],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (0,4)=8 Succeeded, w=14\",\"Add (1,5)=15 Succeeded, w=29\",\"Add (0,5)=23 Failed, w=29\",\"Add (3,5)=30 Succeeded, w=59\",\"Add (1,3)=39 Failed, w=59\",\"Add (0,3)=40 Failed, w=59\",\"Add (1,2)=48 Succeeded, w=107\",\"Add (3,4)=78 Failed, w=107\",\"Add (2,5)=79 Failed, w=107\",\"Add (4,5)=80 Failed, w=107\",\"Add (2,4)=97 Failed, w=107\",\"Add (1,4)=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],\"edges\":[[0,1,6],[0,3,40],[0,4,8],[0,5,23],[1,2,48],[1,3,39],[1,4,99],[1,5,15],[2,4,97],[2,5,79],[3,4,78],[3,5,30],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,4)=8,(1,5)=15,(0,5)=23,(3,5)=30,(1,3)=39,(0,3)=40,(1,2)=48,(3,4)=78,(2,5)=79,(4,5)=80,(2,4)=97,(1,4)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=14\",\"Find(1)=0, Find(5)=5, Add (1,5)=15 Succeeded, w=29\",\"Find(0)=0, Find(5)=0, Add (0,5)=23 Failed, w=29\",\"Find(3)=3, Find(5)=0, Add (3,5)=30 Succeeded, w=59\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=59\",\"Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=59\",\"Find(1)=0, Find(2)=2, Add (1,2)=48 Succeeded, w=107\",\"Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=107\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=107\",\"Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=107\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=107\",\"Find(1)=0, Find(4)=0, Add (1,4)=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],\"edges\":[[0,1,6],[0,3,40],[0,4,8],[0,5,23],[1,2,48],[1,3,39],[1,4,99],[1,5,15],[2,4,97],[2,5,79],[3,4,78],[3,5,30],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,4)=8,(1,5)=15,(0,5)=23,(3,5)=30,(1,3)=39,(0,3)=40,(1,2)=48,(3,4)=78,(2,5)=79,(4,5)=80,(2,4)=97,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=23 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=30 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=48 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=78 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,83],[0,2,9],[0,3,27],[0,5,66],[0,6,2],[1,2,24],[1,3,29],[1,4,80],[1,5,31],[1,6,99],[2,3,22],[2,4,37],[2,5,82],[3,4,57],[3,5,97],[3,6,27],[4,5,76],[4,6,11],[5,6,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,9],[0,3,27],[0,5,66],[0,6,2],[1,2,24],[1,3,29],[1,4,80],[1,5,31],[1,6,99],[2,3,22],[2,4,37],[2,5,82],[3,4,57],[3,5,97],[3,6,27],[4,5,76],[4,6,11],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,9],[0,3,27],[0,5,66],[0,6,2],[1,2,24],[1,3,29],[1,4,80],[1,5,31],[1,6,99],[2,3,22],[2,4,37],[2,5,82],[3,4,57],[3,5,97],[3,6,27],[4,5,76],[4,6,11],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,9],[0,3,27],[0,5,66],[0,6,2],[1,2,24],[1,3,29],[1,4,80],[1,5,31],[1,6,99],[2,3,22],[2,4,37],[2,5,82],[3,4,57],[3,5,97],[3,6,27],[4,5,76],[4,6,11],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2, w=2\",\"Add (0,2)=9, w=11\",\"Add (4,6)=11, w=22\",\"Add (5,6)=17, w=39\",\"Add (2,3)=22, w=61\",\"Add (1,2)=24, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,9],[0,3,27],[0,5,66],[0,6,2],[1,2,24],[1,3,29],[1,4,80],[1,5,31],[1,6,99],[2,3,22],[2,4,37],[2,5,82],[3,4,57],[3,5,97],[3,6,27],[4,5,76],[4,6,11],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2 Succeeded, w=2\",\"Add (0,2)=9 Succeeded, w=11\",\"Add (4,6)=11 Succeeded, w=22\",\"Add (5,6)=17 Succeeded, w=39\",\"Add (2,3)=22 Succeeded, w=61\",\"Add (1,2)=24 Succeeded, w=85\",\"Add (0,3)=27 Failed, w=85\",\"Add (3,6)=27 Failed, w=85\",\"Add (1,3)=29 Failed, w=85\",\"Add (1,5)=31 Failed, w=85\",\"Add (2,4)=37 Failed, w=85\",\"Add (3,4)=57 Failed, w=85\",\"Add (0,5)=66 Failed, w=85\",\"Add (4,5)=76 Failed, w=85\",\"Add (1,4)=80 Failed, w=85\",\"Add (2,5)=82 Failed, w=85\",\"Add (0,1)=83 Failed, w=85\",\"Add (3,5)=97 Failed, w=85\",\"Add (1,6)=99 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,9],[0,3,27],[0,5,66],[0,6,2],[1,2,24],[1,3,29],[1,4,80],[1,5,31],[1,6,99],[2,3,22],[2,4,37],[2,5,82],[3,4,57],[3,5,97],[3,6,27],[4,5,76],[4,6,11],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(0,2)=9,(4,6)=11,(5,6)=17,(2,3)=22,(1,2)=24,(0,3)=27,(3,6)=27,(1,3)=29,(1,5)=31,(2,4)=37,(3,4)=57,(0,5)=66,(4,5)=76,(1,4)=80,(2,5)=82,(0,1)=83,(3,5)=97,(1,6)=99]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=11\",\"Find(4)=4, Find(6)=0, Add (4,6)=11 Succeeded, w=22\",\"Find(5)=5, Find(6)=0, Add (5,6)=17 Succeeded, w=39\",\"Find(2)=0, Find(3)=3, Add (2,3)=22 Succeeded, w=61\",\"Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=85\",\"Find(0)=0, Find(3)=0, Add (0,3)=27 Failed, w=85\",\"Find(3)=0, Find(6)=0, Add (3,6)=27 Failed, w=85\",\"Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=85\",\"Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=85\",\"Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=85\",\"Find(3)=0, Find(4)=0, Add (3,4)=57 Failed, w=85\",\"Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=85\",\"Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=85\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=85\",\"Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=85\",\"Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=85\",\"Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=85\",\"Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,9],[0,3,27],[0,5,66],[0,6,2],[1,2,24],[1,3,29],[1,4,80],[1,5,31],[1,6,99],[2,3,22],[2,4,37],[2,5,82],[3,4,57],[3,5,97],[3,6,27],[4,5,76],[4,6,11],[5,6,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(0,2)=9,(4,6)=11,(5,6)=17,(2,3)=22,(1,2)=24,(0,3)=27,(3,6)=27,(1,3)=29,(1,5)=31,(2,4)=37,(3,4)=57,(0,5)=66,(4,5)=76,(1,4)=80,(2,5)=82,(0,1)=83,(3,5)=97,(1,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=17 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=22 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=27 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=27 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=29 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=57 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=66 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=76 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=83 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,86],[0,2,21],[0,3,61],[0,4,33],[0,5,29],[1,2,100],[1,3,33],[1,4,31],[1,5,10],[2,4,37],[2,5,25],[3,4,58],[3,5,59],[4,5,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,21],[0,3,61],[0,4,33],[0,5,29],[1,2,100],[1,3,33],[1,4,31],[1,5,10],[2,4,37],[2,5,25],[3,4,58],[3,5,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,21],[0,3,61],[0,4,33],[0,5,29],[1,2,100],[1,3,33],[1,4,31],[1,5,10],[2,4,37],[2,5,25],[3,4,58],[3,5,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,21],[0,3,61],[0,4,33],[0,5,29],[1,2,100],[1,3,33],[1,4,31],[1,5,10],[2,4,37],[2,5,25],[3,4,58],[3,5,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10, w=10\",\"Add (0,2)=21, w=31\",\"Add (2,5)=25, w=56\",\"Add (1,4)=31, w=87\",\"Add (1,3)=33, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,21],[0,3,61],[0,4,33],[0,5,29],[1,2,100],[1,3,33],[1,4,31],[1,5,10],[2,4,37],[2,5,25],[3,4,58],[3,5,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10 Succeeded, w=10\",\"Add (0,2)=21 Succeeded, w=31\",\"Add (2,5)=25 Succeeded, w=56\",\"Add (0,5)=29 Failed, w=56\",\"Add (1,4)=31 Succeeded, w=87\",\"Add (0,4)=33 Failed, w=87\",\"Add (1,3)=33 Succeeded, w=120\",\"Add (2,4)=37 Failed, w=120\",\"Add (3,4)=58 Failed, w=120\",\"Add (3,5)=59 Failed, w=120\",\"Add (0,3)=61 Failed, w=120\",\"Add (0,1)=86 Failed, w=120\",\"Add (4,5)=89 Failed, w=120\",\"Add (1,2)=100 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,21],[0,3,61],[0,4,33],[0,5,29],[1,2,100],[1,3,33],[1,4,31],[1,5,10],[2,4,37],[2,5,25],[3,4,58],[3,5,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(0,2)=21,(2,5)=25,(0,5)=29,(1,4)=31,(0,4)=33,(1,3)=33,(2,4)=37,(3,4)=58,(3,5)=59,(0,3)=61,(0,1)=86,(4,5)=89,(1,2)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=31\",\"Find(2)=0, Find(5)=1, Add (2,5)=25 Succeeded, w=56\",\"Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=56\",\"Find(1)=0, Find(4)=4, Add (1,4)=31 Succeeded, w=87\",\"Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=87\",\"Find(1)=0, Find(3)=3, Add (1,3)=33 Succeeded, w=120\",\"Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=120\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=120\",\"Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=120\",\"Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=120\",\"Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=120\",\"Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=120\",\"Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,86],[0,2,21],[0,3,61],[0,4,33],[0,5,29],[1,2,100],[1,3,33],[1,4,31],[1,5,10],[2,4,37],[2,5,25],[3,4,58],[3,5,59],[4,5,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(0,2)=21,(2,5)=25,(0,5)=29,(1,4)=31,(0,4)=33,(1,3)=33,(2,4)=37,(3,4)=58,(3,5)=59,(0,3)=61,(0,1)=86,(4,5)=89,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 1}, Find(2)=0, Find(5)=1, Add (2,5)=25 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=31 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=3, Add (1,3)=33 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=37 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=59 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=89 Failed, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=100 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,28],[0,2,18],[1,2,86],[1,4,22],[2,3,69],[3,4,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,18],[1,2,86],[1,4,22],[2,3,69],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,18],[1,2,86],[1,4,22],[2,3,69],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,18],[1,2,86],[1,4,22],[2,3,69],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=18, w=18\",\"Add (1,4)=22, w=40\",\"Add (0,1)=28, w=68\",\"Add (3,4)=36, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,18],[1,2,86],[1,4,22],[2,3,69],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=18 Succeeded, w=18\",\"Add (1,4)=22 Succeeded, w=40\",\"Add (0,1)=28 Succeeded, w=68\",\"Add (3,4)=36 Succeeded, w=104\",\"Add (2,3)=69 Failed, w=104\",\"Add (1,2)=86 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,18],[1,2,86],[1,4,22],[2,3,69],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=18,(1,4)=22,(0,1)=28,(3,4)=36,(2,3)=69,(1,2)=86]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=18\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=68\",\"Find(3)=3, Find(4)=0, Add (3,4)=36 Succeeded, w=104\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=104\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,28],[0,2,18],[1,2,86],[1,4,22],[2,3,69],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=18,(1,4)=22,(0,1)=28,(3,4)=36,(2,3)=69,(1,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=36 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,14],[0,4,3],[0,5,74],[0,6,42],[1,2,40],[1,3,26],[1,5,87],[1,6,31],[2,3,89],[2,4,66],[3,4,14],[3,5,48],[4,5,9],[4,6,61],[5,6,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,4,3],[0,5,74],[0,6,42],[1,2,40],[1,3,26],[1,5,87],[1,6,31],[2,3,89],[2,4,66],[3,4,14],[3,5,48],[4,5,9],[4,6,61],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,4,3],[0,5,74],[0,6,42],[1,2,40],[1,3,26],[1,5,87],[1,6,31],[2,3,89],[2,4,66],[3,4,14],[3,5,48],[4,5,9],[4,6,61],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (1,2)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,4,3],[0,5,74],[0,6,42],[1,2,40],[1,3,26],[1,5,87],[1,6,31],[2,3,89],[2,4,66],[3,4,14],[3,5,48],[4,5,9],[4,6,61],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (4,5)=9, w=12\",\"Add (0,1)=14, w=26\",\"Add (3,4)=14, w=40\",\"Add (1,6)=31, w=71\",\"Add (1,2)=40, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,4,3],[0,5,74],[0,6,42],[1,2,40],[1,3,26],[1,5,87],[1,6,31],[2,3,89],[2,4,66],[3,4,14],[3,5,48],[4,5,9],[4,6,61],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (4,5)=9 Succeeded, w=12\",\"Add (0,1)=14 Succeeded, w=26\",\"Add (3,4)=14 Succeeded, w=40\",\"Add (1,3)=26 Failed, w=40\",\"Add (1,6)=31 Succeeded, w=71\",\"Add (1,2)=40 Succeeded, w=111\",\"Add (0,6)=42 Failed, w=111\",\"Add (5,6)=44 Failed, w=111\",\"Add (3,5)=48 Failed, w=111\",\"Add (4,6)=61 Failed, w=111\",\"Add (2,4)=66 Failed, w=111\",\"Add (0,5)=74 Failed, w=111\",\"Add (1,5)=87 Failed, w=111\",\"Add (2,3)=89 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,4,3],[0,5,74],[0,6,42],[1,2,40],[1,3,26],[1,5,87],[1,6,31],[2,3,89],[2,4,66],[3,4,14],[3,5,48],[4,5,9],[4,6,61],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(4,5)=9,(0,1)=14,(3,4)=14,(1,3)=26,(1,6)=31,(1,2)=40,(0,6)=42,(5,6)=44,(3,5)=48,(4,6)=61,(2,4)=66,(0,5)=74,(1,5)=87,(2,3)=89]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(4)=0, Find(5)=5, Add (4,5)=9 Succeeded, w=12\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=26\",\"Find(3)=3, Find(4)=0, Add (3,4)=14 Succeeded, w=40\",\"Find(1)=0, Find(3)=0, Add (1,3)=26 Failed, w=40\",\"Find(1)=0, Find(6)=6, Add (1,6)=31 Succeeded, w=71\",\"Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=111\",\"Find(0)=0, Find(6)=0, Add (0,6)=42 Failed, w=111\",\"Find(5)=0, Find(6)=0, Add (5,6)=44 Failed, w=111\",\"Find(3)=0, Find(5)=0, Add (3,5)=48 Failed, w=111\",\"Find(4)=0, Find(6)=0, Add (4,6)=61 Failed, w=111\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=111\",\"Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=111\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=111\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,14],[0,4,3],[0,5,74],[0,6,42],[1,2,40],[1,3,26],[1,5,87],[1,6,31],[2,3,89],[2,4,66],[3,4,14],[3,5,48],[4,5,9],[4,6,61],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(4,5)=9,(0,1)=14,(3,4)=14,(1,3)=26,(1,6)=31,(1,2)=40,(0,6)=42,(5,6)=44,(3,5)=48,(4,6)=61,(2,4)=66,(0,5)=74,(1,5)=87,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=5, Add (4,5)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=14 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=26 Failed, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=31 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=2, Add (1,2)=40 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=42 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=44 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=48 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=61 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,28],[0,2,51],[0,3,71],[0,4,82],[0,6,33],[0,7,5],[1,3,45],[1,4,16],[1,5,92],[2,4,28],[2,6,12],[2,7,22],[3,5,39],[3,7,40],[4,5,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,51],[0,3,71],[0,4,82],[0,6,33],[0,7,5],[1,3,45],[1,4,16],[1,5,92],[2,4,28],[2,6,12],[2,7,22],[3,5,39],[3,7,40],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,51],[0,3,71],[0,4,82],[0,6,33],[0,7,5],[1,3,45],[1,4,16],[1,5,92],[2,4,28],[2,6,12],[2,7,22],[3,5,39],[3,7,40],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (2,7)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (3,5)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,51],[0,3,71],[0,4,82],[0,6,33],[0,7,5],[1,3,45],[1,4,16],[1,5,92],[2,4,28],[2,6,12],[2,7,22],[3,5,39],[3,7,40],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=5, w=5\",\"Add (2,6)=12, w=17\",\"Add (1,4)=16, w=33\",\"Add (2,7)=22, w=55\",\"Add (4,5)=27, w=82\",\"Add (0,1)=28, w=110\",\"Add (3,5)=39, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,51],[0,3,71],[0,4,82],[0,6,33],[0,7,5],[1,3,45],[1,4,16],[1,5,92],[2,4,28],[2,6,12],[2,7,22],[3,5,39],[3,7,40],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=5 Succeeded, w=5\",\"Add (2,6)=12 Succeeded, w=17\",\"Add (1,4)=16 Succeeded, w=33\",\"Add (2,7)=22 Succeeded, w=55\",\"Add (4,5)=27 Succeeded, w=82\",\"Add (0,1)=28 Succeeded, w=110\",\"Add (2,4)=28 Failed, w=110\",\"Add (0,6)=33 Failed, w=110\",\"Add (3,5)=39 Succeeded, w=149\",\"Add (3,7)=40 Failed, w=149\",\"Add (1,3)=45 Failed, w=149\",\"Add (0,2)=51 Failed, w=149\",\"Add (0,3)=71 Failed, w=149\",\"Add (0,4)=82 Failed, w=149\",\"Add (1,5)=92 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,51],[0,3,71],[0,4,82],[0,6,33],[0,7,5],[1,3,45],[1,4,16],[1,5,92],[2,4,28],[2,6,12],[2,7,22],[3,5,39],[3,7,40],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=5,(2,6)=12,(1,4)=16,(2,7)=22,(4,5)=27,(0,1)=28,(2,4)=28,(0,6)=33,(3,5)=39,(3,7)=40,(1,3)=45,(0,2)=51,(0,3)=71,(0,4)=82,(1,5)=92]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=33\",\"Find(2)=2, Find(7)=0, Add (2,7)=22 Succeeded, w=55\",\"Find(4)=1, Find(5)=5, Add (4,5)=27 Succeeded, w=82\",\"Find(0)=2, Find(1)=1, Add (0,1)=28 Succeeded, w=110\",\"Find(2)=2, Find(4)=2, Add (2,4)=28 Failed, w=110\",\"Find(0)=2, Find(6)=2, Add (0,6)=33 Failed, w=110\",\"Find(3)=3, Find(5)=2, Add (3,5)=39 Succeeded, w=149\",\"Find(3)=2, Find(7)=2, Add (3,7)=40 Failed, w=149\",\"Find(1)=2, Find(3)=2, Add (1,3)=45 Failed, w=149\",\"Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=149\",\"Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=149\",\"Find(0)=2, Find(4)=2, Add (0,4)=82 Failed, w=149\",\"Find(1)=2, Find(5)=2, Add (1,5)=92 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,28],[0,2,51],[0,3,71],[0,4,82],[0,6,33],[0,7,5],[1,3,45],[1,4,16],[1,5,92],[2,4,28],[2,6,12],[2,7,22],[3,5,39],[3,7,40],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=5,(2,6)=12,(1,4)=16,(2,7)=22,(4,5)=27,(0,1)=28,(2,4)=28,(0,6)=33,(3,5)=39,(3,7)=40,(1,3)=45,(0,2)=51,(0,3)=71,(0,4)=82,(1,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 0}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=33\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=22 Succeeded, w=55\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 2, 7: 0}, Find(4)=1, Find(5)=5, Add (4,5)=27 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 1, 6: 2, 7: 0}, Find(0)=2, Find(1)=1, Add (0,1)=28 Succeeded, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 2, 7: 0}, Find(2)=2, Find(4)=2, Add (2,4)=28 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 2, 7: 0}, Find(0)=2, Find(6)=2, Add (0,6)=33 Failed, w=110\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 0}, Find(3)=3, Find(5)=2, Add (3,5)=39 Succeeded, w=149\",\"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)=40 Failed, w=149\",\"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)=45 Failed, w=149\",\"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)=51 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=71 Failed, w=149\",\"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)=82 Failed, w=149\",\"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)=92 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,79],[0,4,59],[0,5,86],[0,6,78],[1,4,32],[2,6,62],[3,4,76],[3,5,98],[4,5,58],[4,6,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,4,59],[0,5,86],[0,6,78],[1,4,32],[2,6,62],[3,4,76],[3,5,98],[4,5,58],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":365}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,4,59],[0,5,86],[0,6,78],[1,4,32],[2,6,62],[3,4,76],[3,5,98],[4,5,58],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (0,6)\"],\"Answer\":365}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,4,59],[0,5,86],[0,6,78],[1,4,32],[2,6,62],[3,4,76],[3,5,98],[4,5,58],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=32, w=32\",\"Add (4,5)=58, w=90\",\"Add (0,4)=59, w=149\",\"Add (2,6)=62, w=211\",\"Add (3,4)=76, w=287\",\"Add (0,6)=78, w=365\"],\"Answer\":365}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,4,59],[0,5,86],[0,6,78],[1,4,32],[2,6,62],[3,4,76],[3,5,98],[4,5,58],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=32 Succeeded, w=32\",\"Add (4,5)=58 Succeeded, w=90\",\"Add (0,4)=59 Succeeded, w=149\",\"Add (2,6)=62 Succeeded, w=211\",\"Add (3,4)=76 Succeeded, w=287\",\"Add (0,6)=78 Succeeded, w=365\",\"Add (0,2)=79 Failed, w=365\",\"Add (0,5)=86 Failed, w=365\",\"Add (4,6)=97 Failed, w=365\",\"Add (3,5)=98 Failed, w=365\"],\"Answer\":365}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,4,59],[0,5,86],[0,6,78],[1,4,32],[2,6,62],[3,4,76],[3,5,98],[4,5,58],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=32,(4,5)=58,(0,4)=59,(2,6)=62,(3,4)=76,(0,6)=78,(0,2)=79,(0,5)=86,(4,6)=97,(3,5)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=32 Succeeded, w=32\",\"Find(4)=1, Find(5)=5, Add (4,5)=58 Succeeded, w=90\",\"Find(0)=0, Find(4)=1, Add (0,4)=59 Succeeded, w=149\",\"Find(2)=2, Find(6)=6, Add (2,6)=62 Succeeded, w=211\",\"Find(3)=3, Find(4)=1, Add (3,4)=76 Succeeded, w=287\",\"Find(0)=1, Find(6)=2, Add (0,6)=78 Succeeded, w=365\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=365\",\"Find(0)=1, Find(5)=1, Add (0,5)=86 Failed, w=365\",\"Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=365\",\"Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=365\"],\"Answer\":365}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,79],[0,4,59],[0,5,86],[0,6,78],[1,4,32],[2,6,62],[3,4,76],[3,5,98],[4,5,58],[4,6,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=32,(4,5)=58,(0,4)=59,(2,6)=62,(3,4)=76,(0,6)=78,(0,2)=79,(0,5)=86,(4,6)=97,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6}, Find(4)=1, Find(5)=5, Add (4,5)=58 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6}, Find(0)=0, Find(4)=1, Add (0,4)=59 Succeeded, w=149\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=62 Succeeded, w=211\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2}, Find(3)=3, Find(4)=1, Add (3,4)=76 Succeeded, w=287\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(6)=2, Add (0,6)=78 Succeeded, w=365\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=365\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(5)=1, Add (0,5)=86 Failed, w=365\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=365\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=98 Failed, w=365\"],\"Answer\":365}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,72],[0,2,35],[0,3,98],[0,4,56],[0,5,66],[1,2,12],[1,3,55],[1,4,94],[1,5,75],[2,3,71],[2,4,5],[2,5,71],[3,4,98],[3,5,98],[4,5,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,35],[0,3,98],[0,4,56],[0,5,66],[1,2,12],[1,3,55],[1,4,94],[1,5,75],[2,3,71],[2,4,5],[2,5,71],[3,4,98],[3,5,98],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,35],[0,3,98],[0,4,56],[0,5,66],[1,2,12],[1,3,55],[1,4,94],[1,5,75],[2,3,71],[2,4,5],[2,5,71],[3,4,98],[3,5,98],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (0,5)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,35],[0,3,98],[0,4,56],[0,5,66],[1,2,12],[1,3,55],[1,4,94],[1,5,75],[2,3,71],[2,4,5],[2,5,71],[3,4,98],[3,5,98],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (1,2)=12, w=17\",\"Add (0,2)=35, w=52\",\"Add (1,3)=55, w=107\",\"Add (0,5)=66, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,35],[0,3,98],[0,4,56],[0,5,66],[1,2,12],[1,3,55],[1,4,94],[1,5,75],[2,3,71],[2,4,5],[2,5,71],[3,4,98],[3,5,98],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (1,2)=12 Succeeded, w=17\",\"Add (0,2)=35 Succeeded, w=52\",\"Add (1,3)=55 Succeeded, w=107\",\"Add (0,4)=56 Failed, w=107\",\"Add (0,5)=66 Succeeded, w=173\",\"Add (2,3)=71 Failed, w=173\",\"Add (2,5)=71 Failed, w=173\",\"Add (0,1)=72 Failed, w=173\",\"Add (1,5)=75 Failed, w=173\",\"Add (1,4)=94 Failed, w=173\",\"Add (0,3)=98 Failed, w=173\",\"Add (3,4)=98 Failed, w=173\",\"Add (3,5)=98 Failed, w=173\",\"Add (4,5)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,35],[0,3,98],[0,4,56],[0,5,66],[1,2,12],[1,3,55],[1,4,94],[1,5,75],[2,3,71],[2,4,5],[2,5,71],[3,4,98],[3,5,98],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,2)=12,(0,2)=35,(1,3)=55,(0,4)=56,(0,5)=66,(2,3)=71,(2,5)=71,(0,1)=72,(1,5)=75,(1,4)=94,(0,3)=98,(3,4)=98,(3,5)=98,(4,5)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=52\",\"Find(1)=2, Find(3)=3, Add (1,3)=55 Succeeded, w=107\",\"Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=107\",\"Find(0)=2, Find(5)=5, Add (0,5)=66 Succeeded, w=173\",\"Find(2)=2, Find(3)=2, Add (2,3)=71 Failed, w=173\",\"Find(2)=2, Find(5)=2, Add (2,5)=71 Failed, w=173\",\"Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=173\",\"Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=173\",\"Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=173\",\"Find(0)=2, Find(3)=2, Add (0,3)=98 Failed, w=173\",\"Find(3)=2, Find(4)=2, Add (3,4)=98 Failed, w=173\",\"Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=173\",\"Find(4)=2, Find(5)=2, Add (4,5)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,72],[0,2,35],[0,3,98],[0,4,56],[0,5,66],[1,2,12],[1,3,55],[1,4,94],[1,5,75],[2,3,71],[2,4,5],[2,5,71],[3,4,98],[3,5,98],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(1,2)=12,(0,2)=35,(1,3)=55,(0,4)=56,(0,5)=66,(2,3)=71,(2,5)=71,(0,1)=72,(1,5)=75,(1,4)=94,(0,3)=98,(3,4)=98,(3,5)=98,(4,5)=98]\",\"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: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=17\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=35 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=2, Find(3)=3, Add (1,3)=55 Succeeded, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=2, Find(4)=2, Add (0,4)=56 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=5, Add (0,5)=66 Succeeded, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=71 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=71 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=72 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=75 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=94 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=98 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=98 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=98 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,62],[0,2,95],[0,4,65],[0,5,59],[0,6,70],[0,7,80],[1,2,75],[1,3,70],[1,5,18],[1,6,47],[1,7,78],[2,3,69],[2,4,71],[2,5,79],[2,6,32],[2,7,37],[3,4,57],[3,5,34],[3,6,67],[3,7,31],[4,5,61],[4,6,73],[4,7,100],[5,6,43],[5,7,61],[6,7,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,95],[0,4,65],[0,5,59],[0,6,70],[0,7,80],[1,2,75],[1,3,70],[1,5,18],[1,6,47],[1,7,78],[2,3,69],[2,4,71],[2,5,79],[2,6,32],[2,7,37],[3,4,57],[3,5,34],[3,6,67],[3,7,31],[4,5,61],[4,6,73],[4,7,100],[5,6,43],[5,7,61],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,95],[0,4,65],[0,5,59],[0,6,70],[0,7,80],[1,2,75],[1,3,70],[1,5,18],[1,6,47],[1,7,78],[2,3,69],[2,4,71],[2,5,79],[2,6,32],[2,7,37],[3,4,57],[3,5,34],[3,6,67],[3,7,31],[4,5,61],[4,6,73],[4,7,100],[5,6,43],[5,7,61],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,7)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (2,7)\",\"Add (3,4)\",\"Add (0,5)\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,95],[0,4,65],[0,5,59],[0,6,70],[0,7,80],[1,2,75],[1,3,70],[1,5,18],[1,6,47],[1,7,78],[2,3,69],[2,4,71],[2,5,79],[2,6,32],[2,7,37],[3,4,57],[3,5,34],[3,6,67],[3,7,31],[4,5,61],[4,6,73],[4,7,100],[5,6,43],[5,7,61],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=18, w=18\",\"Add (3,7)=31, w=49\",\"Add (2,6)=32, w=81\",\"Add (3,5)=34, w=115\",\"Add (2,7)=37, w=152\",\"Add (3,4)=57, w=209\",\"Add (0,5)=59, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,95],[0,4,65],[0,5,59],[0,6,70],[0,7,80],[1,2,75],[1,3,70],[1,5,18],[1,6,47],[1,7,78],[2,3,69],[2,4,71],[2,5,79],[2,6,32],[2,7,37],[3,4,57],[3,5,34],[3,6,67],[3,7,31],[4,5,61],[4,6,73],[4,7,100],[5,6,43],[5,7,61],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=18 Succeeded, w=18\",\"Add (3,7)=31 Succeeded, w=49\",\"Add (2,6)=32 Succeeded, w=81\",\"Add (3,5)=34 Succeeded, w=115\",\"Add (2,7)=37 Succeeded, w=152\",\"Add (5,6)=43 Failed, w=152\",\"Add (1,6)=47 Failed, w=152\",\"Add (3,4)=57 Succeeded, w=209\",\"Add (0,5)=59 Succeeded, w=268\",\"Add (4,5)=61 Failed, w=268\",\"Add (5,7)=61 Failed, w=268\",\"Add (0,1)=62 Failed, w=268\",\"Add (0,4)=65 Failed, w=268\",\"Add (3,6)=67 Failed, w=268\",\"Add (2,3)=69 Failed, w=268\",\"Add (0,6)=70 Failed, w=268\",\"Add (1,3)=70 Failed, w=268\",\"Add (6,7)=70 Failed, w=268\",\"Add (2,4)=71 Failed, w=268\",\"Add (4,6)=73 Failed, w=268\",\"Add (1,2)=75 Failed, w=268\",\"Add (1,7)=78 Failed, w=268\",\"Add (2,5)=79 Failed, w=268\",\"Add (0,7)=80 Failed, w=268\",\"Add (0,2)=95 Failed, w=268\",\"Add (4,7)=100 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,95],[0,4,65],[0,5,59],[0,6,70],[0,7,80],[1,2,75],[1,3,70],[1,5,18],[1,6,47],[1,7,78],[2,3,69],[2,4,71],[2,5,79],[2,6,32],[2,7,37],[3,4,57],[3,5,34],[3,6,67],[3,7,31],[4,5,61],[4,6,73],[4,7,100],[5,6,43],[5,7,61],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=18,(3,7)=31,(2,6)=32,(3,5)=34,(2,7)=37,(5,6)=43,(1,6)=47,(3,4)=57,(0,5)=59,(4,5)=61,(5,7)=61,(0,1)=62,(0,4)=65,(3,6)=67,(2,3)=69,(0,6)=70,(1,3)=70,(6,7)=70,(2,4)=71,(4,6)=73,(1,2)=75,(1,7)=78,(2,5)=79,(0,7)=80,(0,2)=95,(4,7)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=18\",\"Find(3)=3, Find(7)=7, Add (3,7)=31 Succeeded, w=49\",\"Find(2)=2, Find(6)=6, Add (2,6)=32 Succeeded, w=81\",\"Find(3)=3, Find(5)=1, Add (3,5)=34 Succeeded, w=115\",\"Find(2)=2, Find(7)=3, Add (2,7)=37 Succeeded, w=152\",\"Find(5)=3, Find(6)=3, Add (5,6)=43 Failed, w=152\",\"Find(1)=3, Find(6)=3, Add (1,6)=47 Failed, w=152\",\"Find(3)=3, Find(4)=4, Add (3,4)=57 Succeeded, w=209\",\"Find(0)=0, Find(5)=3, Add (0,5)=59 Succeeded, w=268\",\"Find(4)=3, Find(5)=3, Add (4,5)=61 Failed, w=268\",\"Find(5)=3, Find(7)=3, Add (5,7)=61 Failed, w=268\",\"Find(0)=3, Find(1)=3, Add (0,1)=62 Failed, w=268\",\"Find(0)=3, Find(4)=3, Add (0,4)=65 Failed, w=268\",\"Find(3)=3, Find(6)=3, Add (3,6)=67 Failed, w=268\",\"Find(2)=3, Find(3)=3, Add (2,3)=69 Failed, w=268\",\"Find(0)=3, Find(6)=3, Add (0,6)=70 Failed, w=268\",\"Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=268\",\"Find(6)=3, Find(7)=3, Add (6,7)=70 Failed, w=268\",\"Find(2)=3, Find(4)=3, Add (2,4)=71 Failed, w=268\",\"Find(4)=3, Find(6)=3, Add (4,6)=73 Failed, w=268\",\"Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=268\",\"Find(1)=3, Find(7)=3, Add (1,7)=78 Failed, w=268\",\"Find(2)=3, Find(5)=3, Add (2,5)=79 Failed, w=268\",\"Find(0)=3, Find(7)=3, Add (0,7)=80 Failed, w=268\",\"Find(0)=3, Find(2)=3, Add (0,2)=95 Failed, w=268\",\"Find(4)=3, Find(7)=3, Add (4,7)=100 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,95],[0,4,65],[0,5,59],[0,6,70],[0,7,80],[1,2,75],[1,3,70],[1,5,18],[1,6,47],[1,7,78],[2,3,69],[2,4,71],[2,5,79],[2,6,32],[2,7,37],[3,4,57],[3,5,34],[3,6,67],[3,7,31],[4,5,61],[4,6,73],[4,7,100],[5,6,43],[5,7,61],[6,7,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=18,(3,7)=31,(2,6)=32,(3,5)=34,(2,7)=37,(5,6)=43,(1,6)=47,(3,4)=57,(0,5)=59,(4,5)=61,(5,7)=61,(0,1)=62,(0,4)=65,(3,6)=67,(2,3)=69,(0,6)=70,(1,3)=70,(6,7)=70,(2,4)=71,(4,6)=73,(1,2)=75,(1,7)=78,(2,5)=79,(0,7)=80,(0,2)=95,(4,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=31 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2, 7: 3}, Find(2)=2, Find(6)=6, Add (2,6)=32 Succeeded, w=81\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2, 7: 3}, Find(3)=3, Find(5)=1, Add (3,5)=34 Succeeded, w=115\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 1, 6: 2, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=37 Succeeded, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=43 Failed, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=47 Failed, w=152\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=4, Add (3,4)=57 Succeeded, w=209\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=0, Find(5)=3, Add (0,5)=59 Succeeded, w=268\",\"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)=61 Failed, w=268\",\"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)=61 Failed, w=268\",\"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)=62 Failed, w=268\",\"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)=65 Failed, w=268\",\"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)=67 Failed, w=268\",\"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)=69 Failed, w=268\",\"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)=70 Failed, w=268\",\"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)=70 Failed, w=268\",\"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)=70 Failed, w=268\",\"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)=71 Failed, w=268\",\"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)=73 Failed, w=268\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=75 Failed, w=268\",\"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)=78 Failed, w=268\",\"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)=79 Failed, w=268\",\"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)=80 Failed, w=268\",\"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)=95 Failed, w=268\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=100 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,16],[0,2,73],[0,3,67],[1,2,42],[1,3,25],[2,3,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,73],[0,3,67],[1,2,42],[1,3,25],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,73],[0,3,67],[1,2,42],[1,3,25],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,73],[0,3,67],[1,2,42],[1,3,25],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16, w=16\",\"Add (1,3)=25, w=41\",\"Add (1,2)=42, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,73],[0,3,67],[1,2,42],[1,3,25],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=16 Succeeded, w=16\",\"Add (1,3)=25 Succeeded, w=41\",\"Add (1,2)=42 Succeeded, w=83\",\"Add (0,3)=67 Failed, w=83\",\"Add (0,2)=73 Failed, w=83\",\"Add (2,3)=89 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,73],[0,3,67],[1,2,42],[1,3,25],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,3)=25,(1,2)=42,(0,3)=67,(0,2)=73,(2,3)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=41\",\"Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=83\",\"Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=83\",\"Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,16],[0,2,73],[0,3,67],[1,2,42],[1,3,25],[2,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=16,(1,3)=25,(1,2)=42,(0,3)=67,(0,2)=73,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=42 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=67 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,35],[0,4,81],[0,5,94],[1,2,55],[1,4,27],[2,3,66],[2,5,72],[3,4,13],[3,5,15],[4,5,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,35],[0,4,81],[0,5,94],[1,2,55],[1,4,27],[2,3,66],[2,5,72],[3,4,13],[3,5,15],[4,5,53]]}",
"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],\"edges\":[[0,3,35],[0,4,81],[0,5,94],[1,2,55],[1,4,27],[2,3,66],[2,5,72],[3,4,13],[3,5,15],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (0,3)\",\"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],\"edges\":[[0,3,35],[0,4,81],[0,5,94],[1,2,55],[1,4,27],[2,3,66],[2,5,72],[3,4,13],[3,5,15],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=13, w=13\",\"Add (3,5)=15, w=28\",\"Add (1,4)=27, w=55\",\"Add (0,3)=35, w=90\",\"Add (1,2)=55, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,35],[0,4,81],[0,5,94],[1,2,55],[1,4,27],[2,3,66],[2,5,72],[3,4,13],[3,5,15],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=13 Succeeded, w=13\",\"Add (3,5)=15 Succeeded, w=28\",\"Add (1,4)=27 Succeeded, w=55\",\"Add (0,3)=35 Succeeded, w=90\",\"Add (4,5)=53 Failed, w=90\",\"Add (1,2)=55 Succeeded, w=145\",\"Add (2,3)=66 Failed, w=145\",\"Add (2,5)=72 Failed, w=145\",\"Add (0,4)=81 Failed, w=145\",\"Add (0,5)=94 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],\"edges\":[[0,3,35],[0,4,81],[0,5,94],[1,2,55],[1,4,27],[2,3,66],[2,5,72],[3,4,13],[3,5,15],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=13,(3,5)=15,(1,4)=27,(0,3)=35,(4,5)=53,(1,2)=55,(2,3)=66,(2,5)=72,(0,4)=81,(0,5)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=13\",\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=28\",\"Find(1)=1, Find(4)=3, Add (1,4)=27 Succeeded, w=55\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=90\",\"Find(4)=3, Find(5)=3, Add (4,5)=53 Failed, w=90\",\"Find(1)=3, Find(2)=2, Add (1,2)=55 Succeeded, w=145\",\"Find(2)=3, Find(3)=3, Add (2,3)=66 Failed, w=145\",\"Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=145\",\"Find(0)=3, Find(4)=3, Add (0,4)=81 Failed, w=145\",\"Find(0)=3, Find(5)=3, Add (0,5)=94 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],\"edges\":[[0,3,35],[0,4,81],[0,5,94],[1,2,55],[1,4,27],[2,3,66],[2,5,72],[3,4,13],[3,5,15],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=13,(3,5)=15,(1,4)=27,(0,3)=35,(4,5)=53,(1,2)=55,(2,3)=66,(2,5)=72,(0,4)=81,(0,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=28\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(4)=3, Add (1,4)=27 Succeeded, w=55\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=90\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=53 Failed, w=90\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=2, Add (1,2)=55 Succeeded, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=66 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=72 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=81 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=94 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,2,70],[0,3,67],[1,2,52],[1,3,6],[1,4,15],[1,5,78],[2,4,1],[3,4,75],[3,5,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,70],[0,3,67],[1,2,52],[1,3,6],[1,4,15],[1,5,78],[2,4,1],[3,4,75],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,70],[0,3,67],[1,2,52],[1,3,6],[1,4,15],[1,5,78],[2,4,1],[3,4,75],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,3)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,70],[0,3,67],[1,2,52],[1,3,6],[1,4,15],[1,5,78],[2,4,1],[3,4,75],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (1,3)=6, w=7\",\"Add (1,4)=15, w=22\",\"Add (3,5)=29, w=51\",\"Add (0,3)=67, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,70],[0,3,67],[1,2,52],[1,3,6],[1,4,15],[1,5,78],[2,4,1],[3,4,75],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (1,3)=6 Succeeded, w=7\",\"Add (1,4)=15 Succeeded, w=22\",\"Add (3,5)=29 Succeeded, w=51\",\"Add (1,2)=52 Failed, w=51\",\"Add (0,3)=67 Succeeded, w=118\",\"Add (0,2)=70 Failed, w=118\",\"Add (3,4)=75 Failed, w=118\",\"Add (1,5)=78 Failed, w=118\",\"Add (0,1)=95 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,70],[0,3,67],[1,2,52],[1,3,6],[1,4,15],[1,5,78],[2,4,1],[3,4,75],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,3)=6,(1,4)=15,(3,5)=29,(1,2)=52,(0,3)=67,(0,2)=70,(3,4)=75,(1,5)=78,(0,1)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=7\",\"Find(1)=1, Find(4)=2, Add (1,4)=15 Succeeded, w=22\",\"Find(3)=1, Find(5)=5, Add (3,5)=29 Succeeded, w=51\",\"Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=51\",\"Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=118\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=118\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=118\",\"Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=118\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,70],[0,3,67],[1,2,52],[1,3,6],[1,4,15],[1,5,78],[2,4,1],[3,4,75],[3,5,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,3)=6,(1,4)=15,(3,5)=29,(1,2)=52,(0,3)=67,(0,2)=70,(3,4)=75,(1,5)=78,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=15 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=29 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=52 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=0, Find(3)=1, Add (0,3)=67 Succeeded, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,7],[0,2,65],[0,3,96],[0,4,85],[0,5,80],[0,6,61],[0,7,13],[1,2,36],[1,3,32],[1,4,20],[1,5,36],[1,7,67],[2,3,22],[2,4,14],[2,5,35],[2,6,95],[2,7,18],[3,4,52],[3,5,80],[3,6,15],[3,7,70],[4,5,91],[4,6,29],[4,7,23],[5,6,47],[5,7,99],[6,7,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,65],[0,3,96],[0,4,85],[0,5,80],[0,6,61],[0,7,13],[1,2,36],[1,3,32],[1,4,20],[1,5,36],[1,7,67],[2,3,22],[2,4,14],[2,5,35],[2,6,95],[2,7,18],[3,4,52],[3,5,80],[3,6,15],[3,7,70],[4,5,91],[4,6,29],[4,7,23],[5,6,47],[5,7,99],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,65],[0,3,96],[0,4,85],[0,5,80],[0,6,61],[0,7,13],[1,2,36],[1,3,32],[1,4,20],[1,5,36],[1,7,67],[2,3,22],[2,4,14],[2,5,35],[2,6,95],[2,7,18],[3,4,52],[3,5,80],[3,6,15],[3,7,70],[4,5,91],[4,6,29],[4,7,23],[5,6,47],[5,7,99],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,7)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (2,7)\",\"Add (2,3)\",\"Add (2,5)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,65],[0,3,96],[0,4,85],[0,5,80],[0,6,61],[0,7,13],[1,2,36],[1,3,32],[1,4,20],[1,5,36],[1,7,67],[2,3,22],[2,4,14],[2,5,35],[2,6,95],[2,7,18],[3,4,52],[3,5,80],[3,6,15],[3,7,70],[4,5,91],[4,6,29],[4,7,23],[5,6,47],[5,7,99],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (0,7)=13, w=20\",\"Add (2,4)=14, w=34\",\"Add (3,6)=15, w=49\",\"Add (2,7)=18, w=67\",\"Add (2,3)=22, w=89\",\"Add (2,5)=35, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,65],[0,3,96],[0,4,85],[0,5,80],[0,6,61],[0,7,13],[1,2,36],[1,3,32],[1,4,20],[1,5,36],[1,7,67],[2,3,22],[2,4,14],[2,5,35],[2,6,95],[2,7,18],[3,4,52],[3,5,80],[3,6,15],[3,7,70],[4,5,91],[4,6,29],[4,7,23],[5,6,47],[5,7,99],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (0,7)=13 Succeeded, w=20\",\"Add (2,4)=14 Succeeded, w=34\",\"Add (3,6)=15 Succeeded, w=49\",\"Add (2,7)=18 Succeeded, w=67\",\"Add (1,4)=20 Failed, w=67\",\"Add (2,3)=22 Succeeded, w=89\",\"Add (4,7)=23 Failed, w=89\",\"Add (6,7)=23 Failed, w=89\",\"Add (4,6)=29 Failed, w=89\",\"Add (1,3)=32 Failed, w=89\",\"Add (2,5)=35 Succeeded, w=124\",\"Add (1,2)=36 Failed, w=124\",\"Add (1,5)=36 Failed, w=124\",\"Add (5,6)=47 Failed, w=124\",\"Add (3,4)=52 Failed, w=124\",\"Add (0,6)=61 Failed, w=124\",\"Add (0,2)=65 Failed, w=124\",\"Add (1,7)=67 Failed, w=124\",\"Add (3,7)=70 Failed, w=124\",\"Add (0,5)=80 Failed, w=124\",\"Add (3,5)=80 Failed, w=124\",\"Add (0,4)=85 Failed, w=124\",\"Add (4,5)=91 Failed, w=124\",\"Add (2,6)=95 Failed, w=124\",\"Add (0,3)=96 Failed, w=124\",\"Add (5,7)=99 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,65],[0,3,96],[0,4,85],[0,5,80],[0,6,61],[0,7,13],[1,2,36],[1,3,32],[1,4,20],[1,5,36],[1,7,67],[2,3,22],[2,4,14],[2,5,35],[2,6,95],[2,7,18],[3,4,52],[3,5,80],[3,6,15],[3,7,70],[4,5,91],[4,6,29],[4,7,23],[5,6,47],[5,7,99],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,7)=13,(2,4)=14,(3,6)=15,(2,7)=18,(1,4)=20,(2,3)=22,(4,7)=23,(6,7)=23,(4,6)=29,(1,3)=32,(2,5)=35,(1,2)=36,(1,5)=36,(5,6)=47,(3,4)=52,(0,6)=61,(0,2)=65,(1,7)=67,(3,7)=70,(0,5)=80,(3,5)=80,(0,4)=85,(4,5)=91,(2,6)=95,(0,3)=96,(5,7)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(0)=0, Find(7)=7, Add (0,7)=13 Succeeded, w=20\",\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=34\",\"Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=49\",\"Find(2)=2, Find(7)=0, Add (2,7)=18 Succeeded, w=67\",\"Find(1)=2, Find(4)=2, Add (1,4)=20 Failed, w=67\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=89\",\"Find(4)=2, Find(7)=2, Add (4,7)=23 Failed, w=89\",\"Find(6)=2, Find(7)=2, Add (6,7)=23 Failed, w=89\",\"Find(4)=2, Find(6)=2, Add (4,6)=29 Failed, w=89\",\"Find(1)=2, Find(3)=2, Add (1,3)=32 Failed, w=89\",\"Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=124\",\"Find(1)=2, Find(2)=2, Add (1,2)=36 Failed, w=124\",\"Find(1)=2, Find(5)=2, Add (1,5)=36 Failed, w=124\",\"Find(5)=2, Find(6)=2, Add (5,6)=47 Failed, w=124\",\"Find(3)=2, Find(4)=2, Add (3,4)=52 Failed, w=124\",\"Find(0)=2, Find(6)=2, Add (0,6)=61 Failed, w=124\",\"Find(0)=2, Find(2)=2, Add (0,2)=65 Failed, w=124\",\"Find(1)=2, Find(7)=2, Add (1,7)=67 Failed, w=124\",\"Find(3)=2, Find(7)=2, Add (3,7)=70 Failed, w=124\",\"Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=124\",\"Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=124\",\"Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=124\",\"Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=124\",\"Find(2)=2, Find(6)=2, Add (2,6)=95 Failed, w=124\",\"Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=124\",\"Find(5)=2, Find(7)=2, Add (5,7)=99 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,7],[0,2,65],[0,3,96],[0,4,85],[0,5,80],[0,6,61],[0,7,13],[1,2,36],[1,3,32],[1,4,20],[1,5,36],[1,7,67],[2,3,22],[2,4,14],[2,5,35],[2,6,95],[2,7,18],[3,4,52],[3,5,80],[3,6,15],[3,7,70],[4,5,91],[4,6,29],[4,7,23],[5,6,47],[5,7,99],[6,7,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,7)=13,(2,4)=14,(3,6)=15,(2,7)=18,(1,4)=20,(2,3)=22,(4,7)=23,(6,7)=23,(4,6)=29,(1,3)=32,(2,5)=35,(1,2)=36,(1,5)=36,(5,6)=47,(3,4)=52,(0,6)=61,(0,2)=65,(1,7)=67,(3,7)=70,(0,5)=80,(3,5)=80,(0,4)=85,(4,5)=91,(2,6)=95,(0,3)=96,(5,7)=99]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=13 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 0}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=15 Succeeded, w=49\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 0}, Find(2)=2, Find(7)=0, Add (2,7)=18 Succeeded, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 3, 7: 0}, Find(1)=2, Find(4)=2, Add (1,4)=20 Failed, w=67\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 3, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=23 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=23 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=29 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=32 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=5, Add (2,5)=35 Succeeded, w=124\",\"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)=36 Failed, w=124\",\"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)=36 Failed, w=124\",\"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)=47 Failed, w=124\",\"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)=52 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=61 Failed, w=124\",\"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)=65 Failed, w=124\",\"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)=67 Failed, w=124\",\"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)=70 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=80 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=124\",\"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)=85 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=124\",\"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)=95 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=96 Failed, w=124\",\"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)=99 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,73],[0,2,59],[1,2,95],[1,3,2],[2,3,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,59],[1,2,95],[1,3,2],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,59],[1,2,95],[1,3,2],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,59],[1,2,95],[1,3,2],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,3)=44, w=46\",\"Add (0,2)=59, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,59],[1,2,95],[1,3,2],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,3)=44 Succeeded, w=46\",\"Add (0,2)=59 Succeeded, w=105\",\"Add (0,1)=73 Failed, w=105\",\"Add (1,2)=95 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,59],[1,2,95],[1,3,2],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=44,(0,2)=59,(0,1)=73,(1,2)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=1, Add (2,3)=44 Succeeded, w=46\",\"Find(0)=0, Find(2)=1, Add (0,2)=59 Succeeded, w=105\",\"Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=105\",\"Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,73],[0,2,59],[1,2,95],[1,3,2],[2,3,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=44,(0,2)=59,(0,1)=73,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=44 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=59 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=73 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,17],[0,2,25],[0,4,65],[0,5,46],[1,4,100],[1,5,23],[2,4,58],[2,5,51],[3,4,30],[3,5,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,25],[0,4,65],[0,5,46],[1,4,100],[1,5,23],[2,4,58],[2,5,51],[3,4,30],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,25],[0,4,65],[0,5,46],[1,4,100],[1,5,23],[2,4,58],[2,5,51],[3,4,30],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,25],[0,4,65],[0,5,46],[1,4,100],[1,5,23],[2,4,58],[2,5,51],[3,4,30],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16, w=16\",\"Add (0,1)=17, w=33\",\"Add (1,5)=23, w=56\",\"Add (0,2)=25, w=81\",\"Add (3,4)=30, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,25],[0,4,65],[0,5,46],[1,4,100],[1,5,23],[2,4,58],[2,5,51],[3,4,30],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=16 Succeeded, w=16\",\"Add (0,1)=17 Succeeded, w=33\",\"Add (1,5)=23 Succeeded, w=56\",\"Add (0,2)=25 Succeeded, w=81\",\"Add (3,4)=30 Succeeded, w=111\",\"Add (0,5)=46 Failed, w=111\",\"Add (2,5)=51 Failed, w=111\",\"Add (2,4)=58 Failed, w=111\",\"Add (0,4)=65 Failed, w=111\",\"Add (1,4)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,25],[0,4,65],[0,5,46],[1,4,100],[1,5,23],[2,4,58],[2,5,51],[3,4,30],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(0,1)=17,(1,5)=23,(0,2)=25,(3,4)=30,(0,5)=46,(2,5)=51,(2,4)=58,(0,4)=65,(1,4)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=33\",\"Find(1)=0, Find(5)=3, Add (1,5)=23 Succeeded, w=56\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=81\",\"Find(3)=0, Find(4)=4, Add (3,4)=30 Succeeded, w=111\",\"Find(0)=0, Find(5)=0, Add (0,5)=46 Failed, w=111\",\"Find(2)=0, Find(5)=0, Add (2,5)=51 Failed, w=111\",\"Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=111\",\"Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=111\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,2,25],[0,4,65],[0,5,46],[1,4,100],[1,5,23],[2,4,58],[2,5,51],[3,4,30],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=16,(0,1)=17,(1,5)=23,(0,2)=25,(3,4)=30,(0,5)=46,(2,5)=51,(2,4)=58,(0,4)=65,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3}, Find(1)=0, Find(5)=3, Add (1,5)=23 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(3)=0, Find(4)=4, Add (3,4)=30 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=46 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=51 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=65 Failed, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,71],[0,2,61],[0,5,28],[1,2,85],[1,3,40],[1,4,51],[1,5,44],[1,6,45],[1,7,25],[2,3,26],[2,6,34],[3,4,6],[3,5,30],[3,7,27],[4,5,57],[4,7,29],[5,6,84],[5,7,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,61],[0,5,28],[1,2,85],[1,3,40],[1,4,51],[1,5,44],[1,6,45],[1,7,25],[2,3,26],[2,6,34],[3,4,6],[3,5,30],[3,7,27],[4,5,57],[4,7,29],[5,6,84],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,61],[0,5,28],[1,2,85],[1,3,40],[1,4,51],[1,5,44],[1,6,45],[1,7,25],[2,3,26],[2,6,34],[3,4,6],[3,5,30],[3,7,27],[4,5,57],[4,7,29],[5,6,84],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,7)\",\"Add (2,3)\",\"Add (3,7)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,6)\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,61],[0,5,28],[1,2,85],[1,3,40],[1,4,51],[1,5,44],[1,6,45],[1,7,25],[2,3,26],[2,6,34],[3,4,6],[3,5,30],[3,7,27],[4,5,57],[4,7,29],[5,6,84],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (1,7)=25, w=31\",\"Add (2,3)=26, w=57\",\"Add (3,7)=27, w=84\",\"Add (0,5)=28, w=112\",\"Add (3,5)=30, w=142\",\"Add (2,6)=34, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,61],[0,5,28],[1,2,85],[1,3,40],[1,4,51],[1,5,44],[1,6,45],[1,7,25],[2,3,26],[2,6,34],[3,4,6],[3,5,30],[3,7,27],[4,5,57],[4,7,29],[5,6,84],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (1,7)=25 Succeeded, w=31\",\"Add (2,3)=26 Succeeded, w=57\",\"Add (3,7)=27 Succeeded, w=84\",\"Add (0,5)=28 Succeeded, w=112\",\"Add (4,7)=29 Failed, w=112\",\"Add (3,5)=30 Succeeded, w=142\",\"Add (2,6)=34 Succeeded, w=176\",\"Add (1,3)=40 Failed, w=176\",\"Add (1,5)=44 Failed, w=176\",\"Add (1,6)=45 Failed, w=176\",\"Add (1,4)=51 Failed, w=176\",\"Add (4,5)=57 Failed, w=176\",\"Add (0,2)=61 Failed, w=176\",\"Add (0,1)=71 Failed, w=176\",\"Add (5,6)=84 Failed, w=176\",\"Add (1,2)=85 Failed, w=176\",\"Add (5,7)=95 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,61],[0,5,28],[1,2,85],[1,3,40],[1,4,51],[1,5,44],[1,6,45],[1,7,25],[2,3,26],[2,6,34],[3,4,6],[3,5,30],[3,7,27],[4,5,57],[4,7,29],[5,6,84],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(1,7)=25,(2,3)=26,(3,7)=27,(0,5)=28,(4,7)=29,(3,5)=30,(2,6)=34,(1,3)=40,(1,5)=44,(1,6)=45,(1,4)=51,(4,5)=57,(0,2)=61,(0,1)=71,(5,6)=84,(1,2)=85,(5,7)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(7)=7, Add (1,7)=25 Succeeded, w=31\",\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=57\",\"Find(3)=3, Find(7)=1, Add (3,7)=27 Succeeded, w=84\",\"Find(0)=0, Find(5)=5, Add (0,5)=28 Succeeded, w=112\",\"Find(4)=3, Find(7)=3, Add (4,7)=29 Failed, w=112\",\"Find(3)=3, Find(5)=0, Add (3,5)=30 Succeeded, w=142\",\"Find(2)=3, Find(6)=6, Add (2,6)=34 Succeeded, w=176\",\"Find(1)=3, Find(3)=3, Add (1,3)=40 Failed, w=176\",\"Find(1)=3, Find(5)=3, Add (1,5)=44 Failed, w=176\",\"Find(1)=3, Find(6)=3, Add (1,6)=45 Failed, w=176\",\"Find(1)=3, Find(4)=3, Add (1,4)=51 Failed, w=176\",\"Find(4)=3, Find(5)=3, Add (4,5)=57 Failed, w=176\",\"Find(0)=3, Find(2)=3, Add (0,2)=61 Failed, w=176\",\"Find(0)=3, Find(1)=3, Add (0,1)=71 Failed, w=176\",\"Find(5)=3, Find(6)=3, Add (5,6)=84 Failed, w=176\",\"Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=176\",\"Find(5)=3, Find(7)=3, Add (5,7)=95 Failed, w=176\"],\"Answer\":176}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,61],[0,5,28],[1,2,85],[1,3,40],[1,4,51],[1,5,44],[1,6,45],[1,7,25],[2,3,26],[2,6,34],[3,4,6],[3,5,30],[3,7,27],[4,5,57],[4,7,29],[5,6,84],[5,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(1,7)=25,(2,3)=26,(3,7)=27,(0,5)=28,(4,7)=29,(3,5)=30,(2,6)=34,(1,3)=40,(1,5)=44,(1,6)=45,(1,4)=51,(4,5)=57,(0,2)=61,(0,1)=71,(5,6)=84,(1,2)=85,(5,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=25 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 1}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=57\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=27 Succeeded, w=84\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 6, 7: 1}, Find(0)=0, Find(5)=5, Add (0,5)=28 Succeeded, w=112\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 6, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=29 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 6, 7: 3}, Find(3)=3, Find(5)=0, Add (3,5)=30 Succeeded, w=142\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(2)=3, Find(6)=6, Add (2,6)=34 Succeeded, w=176\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=40 Failed, w=176\",\"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)=44 Failed, w=176\",\"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)=45 Failed, w=176\",\"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)=51 Failed, w=176\",\"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)=57 Failed, w=176\",\"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)=61 Failed, w=176\",\"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)=71 Failed, w=176\",\"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=176\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=85 Failed, w=176\",\"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=176\"],\"Answer\":176}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,21],[0,3,46],[0,4,51],[0,5,35],[0,6,42],[1,2,49],[1,3,42],[1,4,85],[1,6,91],[2,3,100],[2,4,2],[2,6,10],[3,6,79],[4,5,92],[5,6,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,46],[0,4,51],[0,5,35],[0,6,42],[1,2,49],[1,3,42],[1,4,85],[1,6,91],[2,3,100],[2,4,2],[2,6,10],[3,6,79],[4,5,92],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,46],[0,4,51],[0,5,35],[0,6,42],[1,2,49],[1,3,42],[1,4,85],[1,6,91],[2,3,100],[2,4,2],[2,6,10],[3,6,79],[4,5,92],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (5,6)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,46],[0,4,51],[0,5,35],[0,6,42],[1,2,49],[1,3,42],[1,4,85],[1,6,91],[2,3,100],[2,4,2],[2,6,10],[3,6,79],[4,5,92],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (5,6)=5, w=7\",\"Add (2,6)=10, w=17\",\"Add (0,2)=21, w=38\",\"Add (1,3)=42, w=80\",\"Add (0,3)=46, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,21],[0,3,46],[0,4,51],[0,5,35],[0,6,42],[1,2,49],[1,3,42],[1,4,85],[1,6,91],[2,3,100],[2,4,2],[2,6,10],[3,6,79],[4,5,92],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (5,6)=5 Succeeded, w=7\",\"Add (2,6)=10 Succeeded, w=17\",\"Add (0,2)=21 Succeeded, w=38\",\"Add (0,5)=35 Failed, w=38\",\"Add (0,6)=42 Failed, w=38\",\"Add (1,3)=42 Succeeded, w=80\",\"Add (0,3)=46 Succeeded, w=126\",\"Add (1,2)=49 Failed, w=126\",\"Add (0,4)=51 Failed, w=126\",\"Add (3,6)=79 Failed, w=126\",\"Add (1,4)=85 Failed, w=126\",\"Add (1,6)=91 Failed, w=126\",\"Add (4,5)=92 Failed, w=126\",\"Add (2,3)=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],\"edges\":[[0,2,21],[0,3,46],[0,4,51],[0,5,35],[0,6,42],[1,2,49],[1,3,42],[1,4,85],[1,6,91],[2,3,100],[2,4,2],[2,6,10],[3,6,79],[4,5,92],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(5,6)=5,(2,6)=10,(0,2)=21,(0,5)=35,(0,6)=42,(1,3)=42,(0,3)=46,(1,2)=49,(0,4)=51,(3,6)=79,(1,4)=85,(1,6)=91,(4,5)=92,(2,3)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=7\",\"Find(2)=2, Find(6)=5, Add (2,6)=10 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=38\",\"Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=38\",\"Find(0)=2, Find(6)=2, Add (0,6)=42 Failed, w=38\",\"Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=80\",\"Find(0)=2, Find(3)=1, Add (0,3)=46 Succeeded, w=126\",\"Find(1)=2, Find(2)=2, Add (1,2)=49 Failed, w=126\",\"Find(0)=2, Find(4)=2, Add (0,4)=51 Failed, w=126\",\"Find(3)=2, Find(6)=2, Add (3,6)=79 Failed, w=126\",\"Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=126\",\"Find(1)=2, Find(6)=2, Add (1,6)=91 Failed, w=126\",\"Find(4)=2, Find(5)=2, Add (4,5)=92 Failed, w=126\",\"Find(2)=2, Find(3)=2, Add (2,3)=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],\"edges\":[[0,2,21],[0,3,46],[0,4,51],[0,5,35],[0,6,42],[1,2,49],[1,3,42],[1,4,85],[1,6,91],[2,3,100],[2,4,2],[2,6,10],[3,6,79],[4,5,92],[5,6,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(5,6)=5,(2,6)=10,(0,2)=21,(0,5)=35,(0,6)=42,(1,3)=42,(0,3)=46,(1,2)=49,(0,4)=51,(3,6)=79,(1,4)=85,(1,6)=91,(4,5)=92,(2,3)=100]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=10 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=38\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 5}, Find(0)=2, Find(5)=2, Add (0,5)=35 Failed, w=38\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=42 Failed, w=38\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(3)=3, Add (1,3)=42 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=1, Add (0,3)=46 Succeeded, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=49 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=51 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=79 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=91 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=92 Failed, w=126\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,75],[1,3,19],[1,4,35],[2,3,86],[2,4,62],[2,5,63],[3,5,99],[4,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,75],[1,3,19],[1,4,35],[2,3,86],[2,4,62],[2,5,63],[3,5,99],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,75],[1,3,19],[1,4,35],[2,3,86],[2,4,62],[2,5,63],[3,5,99],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,75],[1,3,19],[1,4,35],[2,3,86],[2,4,62],[2,5,63],[3,5,99],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19, w=19\",\"Add (1,4)=35, w=54\",\"Add (4,5)=56, w=110\",\"Add (2,4)=62, w=172\",\"Add (0,4)=75, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,75],[1,3,19],[1,4,35],[2,3,86],[2,4,62],[2,5,63],[3,5,99],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19 Succeeded, w=19\",\"Add (1,4)=35 Succeeded, w=54\",\"Add (4,5)=56 Succeeded, w=110\",\"Add (2,4)=62 Succeeded, w=172\",\"Add (2,5)=63 Failed, w=172\",\"Add (0,4)=75 Succeeded, w=247\",\"Add (2,3)=86 Failed, w=247\",\"Add (3,5)=99 Failed, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,75],[1,3,19],[1,4,35],[2,3,86],[2,4,62],[2,5,63],[3,5,99],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(1,4)=35,(4,5)=56,(2,4)=62,(2,5)=63,(0,4)=75,(2,3)=86,(3,5)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Find(1)=1, Find(4)=4, Add (1,4)=35 Succeeded, w=54\",\"Find(4)=1, Find(5)=5, Add (4,5)=56 Succeeded, w=110\",\"Find(2)=2, Find(4)=1, Add (2,4)=62 Succeeded, w=172\",\"Find(2)=1, Find(5)=1, Add (2,5)=63 Failed, w=172\",\"Find(0)=0, Find(4)=1, Add (0,4)=75 Succeeded, w=247\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=247\",\"Find(3)=1, Find(5)=1, Add (3,5)=99 Failed, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,75],[1,3,19],[1,4,35],[2,3,86],[2,4,62],[2,5,63],[3,5,99],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(1,4)=35,(4,5)=56,(2,4)=62,(2,5)=63,(0,4)=75,(2,3)=86,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=35 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=56 Succeeded, w=110\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(4)=1, Add (2,4)=62 Succeeded, w=172\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=63 Failed, w=172\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=75 Succeeded, w=247\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=247\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=99 Failed, w=247\"],\"Answer\":247}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,87],[0,2,80],[0,3,16],[1,2,17],[1,3,95],[2,3,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,80],[0,3,16],[1,2,17],[1,3,95],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,80],[0,3,16],[1,2,17],[1,3,95],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,80],[0,3,16],[1,2,17],[1,3,95],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16, w=16\",\"Add (1,2)=17, w=33\",\"Add (2,3)=25, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,80],[0,3,16],[1,2,17],[1,3,95],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=16 Succeeded, w=16\",\"Add (1,2)=17 Succeeded, w=33\",\"Add (2,3)=25 Succeeded, w=58\",\"Add (0,2)=80 Failed, w=58\",\"Add (0,1)=87 Failed, w=58\",\"Add (1,3)=95 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,80],[0,3,16],[1,2,17],[1,3,95],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(1,2)=17,(2,3)=25,(0,2)=80,(0,1)=87,(1,3)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=33\",\"Find(2)=1, Find(3)=0, Add (2,3)=25 Succeeded, w=58\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=58\",\"Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=58\",\"Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,80],[0,3,16],[1,2,17],[1,3,95],[2,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=16,(1,2)=17,(2,3)=25,(0,2)=80,(0,1)=87,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=25 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,28],[0,2,31],[0,3,90],[0,4,27],[0,5,19],[1,2,52],[1,3,19],[1,4,92],[1,5,70],[2,3,89],[2,4,16],[2,5,92],[3,5,15],[4,5,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,31],[0,3,90],[0,4,27],[0,5,19],[1,2,52],[1,3,19],[1,4,92],[1,5,70],[2,3,89],[2,4,16],[2,5,92],[3,5,15],[4,5,32]]}",
"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],\"edges\":[[0,1,28],[0,2,31],[0,3,90],[0,4,27],[0,5,19],[1,2,52],[1,3,19],[1,4,92],[1,5,70],[2,3,89],[2,4,16],[2,5,92],[3,5,15],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,31],[0,3,90],[0,4,27],[0,5,19],[1,2,52],[1,3,19],[1,4,92],[1,5,70],[2,3,89],[2,4,16],[2,5,92],[3,5,15],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=15, w=15\",\"Add (2,4)=16, w=31\",\"Add (0,5)=19, w=50\",\"Add (1,3)=19, w=69\",\"Add (0,4)=27, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,31],[0,3,90],[0,4,27],[0,5,19],[1,2,52],[1,3,19],[1,4,92],[1,5,70],[2,3,89],[2,4,16],[2,5,92],[3,5,15],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=15 Succeeded, w=15\",\"Add (2,4)=16 Succeeded, w=31\",\"Add (0,5)=19 Succeeded, w=50\",\"Add (1,3)=19 Succeeded, w=69\",\"Add (0,4)=27 Succeeded, w=96\",\"Add (0,1)=28 Failed, w=96\",\"Add (0,2)=31 Failed, w=96\",\"Add (4,5)=32 Failed, w=96\",\"Add (1,2)=52 Failed, w=96\",\"Add (1,5)=70 Failed, w=96\",\"Add (2,3)=89 Failed, w=96\",\"Add (0,3)=90 Failed, w=96\",\"Add (1,4)=92 Failed, w=96\",\"Add (2,5)=92 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],\"edges\":[[0,1,28],[0,2,31],[0,3,90],[0,4,27],[0,5,19],[1,2,52],[1,3,19],[1,4,92],[1,5,70],[2,3,89],[2,4,16],[2,5,92],[3,5,15],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=15,(2,4)=16,(0,5)=19,(1,3)=19,(0,4)=27,(0,1)=28,(0,2)=31,(4,5)=32,(1,2)=52,(1,5)=70,(2,3)=89,(0,3)=90,(1,4)=92,(2,5)=92]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=31\",\"Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=50\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=69\",\"Find(0)=3, Find(4)=2, Add (0,4)=27 Succeeded, w=96\",\"Find(0)=3, Find(1)=3, Add (0,1)=28 Failed, w=96\",\"Find(0)=3, Find(2)=3, Add (0,2)=31 Failed, w=96\",\"Find(4)=3, Find(5)=3, Add (4,5)=32 Failed, w=96\",\"Find(1)=3, Find(2)=3, Add (1,2)=52 Failed, w=96\",\"Find(1)=3, Find(5)=3, Add (1,5)=70 Failed, w=96\",\"Find(2)=3, Find(3)=3, Add (2,3)=89 Failed, w=96\",\"Find(0)=3, Find(3)=3, Add (0,3)=90 Failed, w=96\",\"Find(1)=3, Find(4)=3, Add (1,4)=92 Failed, w=96\",\"Find(2)=3, Find(5)=3, Add (2,5)=92 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],\"edges\":[[0,1,28],[0,2,31],[0,3,90],[0,4,27],[0,5,19],[1,2,52],[1,3,19],[1,4,92],[1,5,70],[2,3,89],[2,4,16],[2,5,92],[3,5,15],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=15,(2,4)=16,(0,5)=19,(1,3)=19,(0,4)=27,(0,1)=28,(0,2)=31,(4,5)=32,(1,2)=52,(1,5)=70,(2,3)=89,(0,3)=90,(1,4)=92,(2,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=31\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 2, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=19 Succeeded, w=50\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 2, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=69\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(0)=3, Find(4)=2, Add (0,4)=27 Succeeded, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=28 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 2, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=31 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=32 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=52 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=70 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=89 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=90 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=92 Failed, w=96\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=92 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,8],[0,3,21],[0,4,92],[1,3,77],[3,4,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,8],[0,3,21],[0,4,92],[1,3,77],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,8],[0,3,21],[0,4,92],[1,3,77],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,8],[0,3,21],[0,4,92],[1,3,77],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (0,3)=21, w=29\",\"Add (3,4)=64, w=93\",\"Add (1,3)=77, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,8],[0,3,21],[0,4,92],[1,3,77],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (0,3)=21 Succeeded, w=29\",\"Add (3,4)=64 Succeeded, w=93\",\"Add (1,3)=77 Succeeded, w=170\",\"Add (0,4)=92 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,8],[0,3,21],[0,4,92],[1,3,77],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(0,3)=21,(3,4)=64,(1,3)=77,(0,4)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=29\",\"Find(3)=0, Find(4)=4, Add (3,4)=64 Succeeded, w=93\",\"Find(1)=1, Find(3)=0, Add (1,3)=77 Succeeded, w=170\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,8],[0,3,21],[0,4,92],[1,3,77],[3,4,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(0,3)=21,(3,4)=64,(1,3)=77,(0,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=64 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=77 Succeeded, w=170\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,6],[0,3,69],[0,4,49],[0,5,90],[1,2,55],[1,3,56],[1,4,12],[2,3,85],[2,5,88],[2,6,64],[3,5,76],[3,6,42],[4,5,100],[4,6,92],[5,6,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,3,69],[0,4,49],[0,5,90],[1,2,55],[1,3,56],[1,4,12],[2,3,85],[2,5,88],[2,6,64],[3,5,76],[3,6,42],[4,5,100],[4,6,92],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,3,69],[0,4,49],[0,5,90],[1,2,55],[1,3,56],[1,4,12],[2,3,85],[2,5,88],[2,6,64],[3,5,76],[3,6,42],[4,5,100],[4,6,92],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (5,6)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,3,69],[0,4,49],[0,5,90],[1,2,55],[1,3,56],[1,4,12],[2,3,85],[2,5,88],[2,6,64],[3,5,76],[3,6,42],[4,5,100],[4,6,92],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (5,6)=9, w=15\",\"Add (1,4)=12, w=27\",\"Add (3,6)=42, w=69\",\"Add (1,2)=55, w=124\",\"Add (1,3)=56, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,3,69],[0,4,49],[0,5,90],[1,2,55],[1,3,56],[1,4,12],[2,3,85],[2,5,88],[2,6,64],[3,5,76],[3,6,42],[4,5,100],[4,6,92],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (5,6)=9 Succeeded, w=15\",\"Add (1,4)=12 Succeeded, w=27\",\"Add (3,6)=42 Succeeded, w=69\",\"Add (0,4)=49 Failed, w=69\",\"Add (1,2)=55 Succeeded, w=124\",\"Add (1,3)=56 Succeeded, w=180\",\"Add (2,6)=64 Failed, w=180\",\"Add (0,3)=69 Failed, w=180\",\"Add (3,5)=76 Failed, w=180\",\"Add (2,3)=85 Failed, w=180\",\"Add (2,5)=88 Failed, w=180\",\"Add (0,5)=90 Failed, w=180\",\"Add (4,6)=92 Failed, w=180\",\"Add (4,5)=100 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,3,69],[0,4,49],[0,5,90],[1,2,55],[1,3,56],[1,4,12],[2,3,85],[2,5,88],[2,6,64],[3,5,76],[3,6,42],[4,5,100],[4,6,92],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(5,6)=9,(1,4)=12,(3,6)=42,(0,4)=49,(1,2)=55,(1,3)=56,(2,6)=64,(0,3)=69,(3,5)=76,(2,3)=85,(2,5)=88,(0,5)=90,(4,6)=92,(4,5)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=15\",\"Find(1)=0, Find(4)=4, Add (1,4)=12 Succeeded, w=27\",\"Find(3)=3, Find(6)=5, Add (3,6)=42 Succeeded, w=69\",\"Find(0)=0, Find(4)=0, Add (0,4)=49 Failed, w=69\",\"Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=124\",\"Find(1)=0, Find(3)=5, Add (1,3)=56 Succeeded, w=180\",\"Find(2)=0, Find(6)=0, Add (2,6)=64 Failed, w=180\",\"Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=180\",\"Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=180\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=180\",\"Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=180\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=180\",\"Find(4)=0, Find(6)=0, Add (4,6)=92 Failed, w=180\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,3,69],[0,4,49],[0,5,90],[1,2,55],[1,3,56],[1,4,12],[2,3,85],[2,5,88],[2,6,64],[3,5,76],[3,6,42],[4,5,100],[4,6,92],[5,6,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(5,6)=9,(1,4)=12,(3,6)=42,(0,4)=49,(1,2)=55,(1,3)=56,(2,6)=64,(0,3)=69,(3,5)=76,(2,3)=85,(2,5)=88,(0,5)=90,(4,6)=92,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 5}, Find(1)=0, Find(4)=4, Add (1,4)=12 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 5, 4: 0, 5: 5, 6: 5}, Find(3)=3, Find(6)=5, Add (3,6)=42 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 5, 4: 0, 5: 5, 6: 5}, Find(0)=0, Find(4)=0, Add (0,4)=49 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 5, 6: 5}, Find(1)=0, Find(2)=2, Add (1,2)=55 Succeeded, w=124\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 5}, Find(1)=0, Find(3)=5, Add (1,3)=56 Succeeded, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 5, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=64 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=69 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=92 Failed, w=180\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=180\"],\"Answer\":180}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,96],[0,2,44],[0,3,92],[0,4,2],[0,7,76],[1,5,95],[1,7,32],[2,3,5],[2,4,44],[2,5,95],[2,6,49],[2,7,15],[3,4,32],[3,6,52],[4,5,41],[4,6,31],[5,7,35],[6,7,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,44],[0,3,92],[0,4,2],[0,7,76],[1,5,95],[1,7,32],[2,3,5],[2,4,44],[2,5,95],[2,6,49],[2,7,15],[3,4,32],[3,6,52],[4,5,41],[4,6,31],[5,7,35],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,44],[0,3,92],[0,4,2],[0,7,76],[1,5,95],[1,7,32],[2,3,5],[2,4,44],[2,5,95],[2,6,49],[2,7,15],[3,4,32],[3,6,52],[4,5,41],[4,6,31],[5,7,35],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (2,7)\",\"Add (4,6)\",\"Add (1,7)\",\"Add (5,7)\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,44],[0,3,92],[0,4,2],[0,7,76],[1,5,95],[1,7,32],[2,3,5],[2,4,44],[2,5,95],[2,6,49],[2,7,15],[3,4,32],[3,6,52],[4,5,41],[4,6,31],[5,7,35],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0, w=0\",\"Add (0,4)=2, w=2\",\"Add (2,3)=5, w=7\",\"Add (2,7)=15, w=22\",\"Add (4,6)=31, w=53\",\"Add (1,7)=32, w=85\",\"Add (5,7)=35, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,44],[0,3,92],[0,4,2],[0,7,76],[1,5,95],[1,7,32],[2,3,5],[2,4,44],[2,5,95],[2,6,49],[2,7,15],[3,4,32],[3,6,52],[4,5,41],[4,6,31],[5,7,35],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0 Succeeded, w=0\",\"Add (0,4)=2 Succeeded, w=2\",\"Add (2,3)=5 Succeeded, w=7\",\"Add (2,7)=15 Succeeded, w=22\",\"Add (4,6)=31 Succeeded, w=53\",\"Add (1,7)=32 Succeeded, w=85\",\"Add (3,4)=32 Failed, w=85\",\"Add (5,7)=35 Succeeded, w=120\",\"Add (4,5)=41 Failed, w=120\",\"Add (0,2)=44 Failed, w=120\",\"Add (2,4)=44 Failed, w=120\",\"Add (2,6)=49 Failed, w=120\",\"Add (3,6)=52 Failed, w=120\",\"Add (0,7)=76 Failed, w=120\",\"Add (0,3)=92 Failed, w=120\",\"Add (1,5)=95 Failed, w=120\",\"Add (2,5)=95 Failed, w=120\",\"Add (0,1)=96 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,44],[0,3,92],[0,4,2],[0,7,76],[1,5,95],[1,7,32],[2,3,5],[2,4,44],[2,5,95],[2,6,49],[2,7,15],[3,4,32],[3,6,52],[4,5,41],[4,6,31],[5,7,35],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(0,4)=2,(2,3)=5,(2,7)=15,(4,6)=31,(1,7)=32,(3,4)=32,(5,7)=35,(4,5)=41,(0,2)=44,(2,4)=44,(2,6)=49,(3,6)=52,(0,7)=76,(0,3)=92,(1,5)=95,(2,5)=95,(0,1)=96]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=7\",\"Find(2)=2, Find(7)=6, Add (2,7)=15 Succeeded, w=22\",\"Find(4)=0, Find(6)=2, Add (4,6)=31 Succeeded, w=53\",\"Find(1)=1, Find(7)=2, Add (1,7)=32 Succeeded, w=85\",\"Find(3)=2, Find(4)=2, Add (3,4)=32 Failed, w=85\",\"Find(5)=5, Find(7)=2, Add (5,7)=35 Succeeded, w=120\",\"Find(4)=2, Find(5)=2, Add (4,5)=41 Failed, w=120\",\"Find(0)=2, Find(2)=2, Add (0,2)=44 Failed, w=120\",\"Find(2)=2, Find(4)=2, Add (2,4)=44 Failed, w=120\",\"Find(2)=2, Find(6)=2, Add (2,6)=49 Failed, w=120\",\"Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=120\",\"Find(0)=2, Find(7)=2, Add (0,7)=76 Failed, w=120\",\"Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=120\",\"Find(1)=2, Find(5)=2, Add (1,5)=95 Failed, w=120\",\"Find(2)=2, Find(5)=2, Add (2,5)=95 Failed, w=120\",\"Find(0)=2, Find(1)=2, Add (0,1)=96 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,44],[0,3,92],[0,4,2],[0,7,76],[1,5,95],[1,7,32],[2,3,5],[2,4,44],[2,5,95],[2,6,49],[2,7,15],[3,4,32],[3,6,52],[4,5,41],[4,6,31],[5,7,35],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(0,4)=2,(2,3)=5,(2,7)=15,(4,6)=31,(1,7)=32,(3,4)=32,(5,7)=35,(4,5)=41,(0,2)=44,(2,4)=44,(2,6)=49,(3,6)=52,(0,7)=76,(0,3)=92,(1,5)=95,(2,5)=95,(0,1)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 2, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=15 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5, 6: 2, 7: 6}, Find(4)=0, Find(6)=2, Add (4,6)=31 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 5, 6: 2, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=32 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=32 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=5, Find(7)=2, Add (5,7)=35 Succeeded, w=120\",\"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)=41 Failed, w=120\",\"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)=44 Failed, w=120\",\"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)=44 Failed, w=120\",\"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)=49 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=52 Failed, w=120\",\"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)=76 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=92 Failed, w=120\",\"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)=95 Failed, w=120\",\"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)=95 Failed, w=120\",\"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)=96 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,5],[0,2,98],[0,3,62],[0,4,11],[0,6,73],[0,7,35],[1,3,93],[1,4,66],[1,6,27],[1,7,2],[2,3,13],[2,4,31],[2,5,94],[2,6,37],[2,7,40],[3,4,90],[3,5,97],[3,6,25],[3,7,8],[4,5,4],[4,6,65],[4,7,19],[5,6,100],[5,7,36],[6,7,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,62],[0,4,11],[0,6,73],[0,7,35],[1,3,93],[1,4,66],[1,6,27],[1,7,2],[2,3,13],[2,4,31],[2,5,94],[2,6,37],[2,7,40],[3,4,90],[3,5,97],[3,6,25],[3,7,8],[4,5,4],[4,6,65],[4,7,19],[5,6,100],[5,7,36],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,62],[0,4,11],[0,6,73],[0,7,35],[1,3,93],[1,4,66],[1,6,27],[1,7,2],[2,3,13],[2,4,31],[2,5,94],[2,6,37],[2,7,40],[3,4,90],[3,5,97],[3,6,25],[3,7,8],[4,5,4],[4,6,65],[4,7,19],[5,6,100],[5,7,36],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (3,7)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (3,6)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,62],[0,4,11],[0,6,73],[0,7,35],[1,3,93],[1,4,66],[1,6,27],[1,7,2],[2,3,13],[2,4,31],[2,5,94],[2,6,37],[2,7,40],[3,4,90],[3,5,97],[3,6,25],[3,7,8],[4,5,4],[4,6,65],[4,7,19],[5,6,100],[5,7,36],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2, w=2\",\"Add (4,5)=4, w=6\",\"Add (0,1)=5, w=11\",\"Add (3,7)=8, w=19\",\"Add (0,4)=11, w=30\",\"Add (2,3)=13, w=43\",\"Add (3,6)=25, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,62],[0,4,11],[0,6,73],[0,7,35],[1,3,93],[1,4,66],[1,6,27],[1,7,2],[2,3,13],[2,4,31],[2,5,94],[2,6,37],[2,7,40],[3,4,90],[3,5,97],[3,6,25],[3,7,8],[4,5,4],[4,6,65],[4,7,19],[5,6,100],[5,7,36],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2 Succeeded, w=2\",\"Add (4,5)=4 Succeeded, w=6\",\"Add (0,1)=5 Succeeded, w=11\",\"Add (3,7)=8 Succeeded, w=19\",\"Add (0,4)=11 Succeeded, w=30\",\"Add (2,3)=13 Succeeded, w=43\",\"Add (4,7)=19 Failed, w=43\",\"Add (3,6)=25 Succeeded, w=68\",\"Add (1,6)=27 Failed, w=68\",\"Add (2,4)=31 Failed, w=68\",\"Add (0,7)=35 Failed, w=68\",\"Add (5,7)=36 Failed, w=68\",\"Add (2,6)=37 Failed, w=68\",\"Add (2,7)=40 Failed, w=68\",\"Add (6,7)=59 Failed, w=68\",\"Add (0,3)=62 Failed, w=68\",\"Add (4,6)=65 Failed, w=68\",\"Add (1,4)=66 Failed, w=68\",\"Add (0,6)=73 Failed, w=68\",\"Add (3,4)=90 Failed, w=68\",\"Add (1,3)=93 Failed, w=68\",\"Add (2,5)=94 Failed, w=68\",\"Add (3,5)=97 Failed, w=68\",\"Add (0,2)=98 Failed, w=68\",\"Add (5,6)=100 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,62],[0,4,11],[0,6,73],[0,7,35],[1,3,93],[1,4,66],[1,6,27],[1,7,2],[2,3,13],[2,4,31],[2,5,94],[2,6,37],[2,7,40],[3,4,90],[3,5,97],[3,6,25],[3,7,8],[4,5,4],[4,6,65],[4,7,19],[5,6,100],[5,7,36],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(4,5)=4,(0,1)=5,(3,7)=8,(0,4)=11,(2,3)=13,(4,7)=19,(3,6)=25,(1,6)=27,(2,4)=31,(0,7)=35,(5,7)=36,(2,6)=37,(2,7)=40,(6,7)=59,(0,3)=62,(4,6)=65,(1,4)=66,(0,6)=73,(3,4)=90,(1,3)=93,(2,5)=94,(3,5)=97,(0,2)=98,(5,6)=100]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=11\",\"Find(3)=3, Find(7)=1, Add (3,7)=8 Succeeded, w=19\",\"Find(0)=1, Find(4)=4, Add (0,4)=11 Succeeded, w=30\",\"Find(2)=2, Find(3)=1, Add (2,3)=13 Succeeded, w=43\",\"Find(4)=1, Find(7)=1, Add (4,7)=19 Failed, w=43\",\"Find(3)=1, Find(6)=6, Add (3,6)=25 Succeeded, w=68\",\"Find(1)=1, Find(6)=1, Add (1,6)=27 Failed, w=68\",\"Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=68\",\"Find(0)=1, Find(7)=1, Add (0,7)=35 Failed, w=68\",\"Find(5)=1, Find(7)=1, Add (5,7)=36 Failed, w=68\",\"Find(2)=1, Find(6)=1, Add (2,6)=37 Failed, w=68\",\"Find(2)=1, Find(7)=1, Add (2,7)=40 Failed, w=68\",\"Find(6)=1, Find(7)=1, Add (6,7)=59 Failed, w=68\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=68\",\"Find(4)=1, Find(6)=1, Add (4,6)=65 Failed, w=68\",\"Find(1)=1, Find(4)=1, Add (1,4)=66 Failed, w=68\",\"Find(0)=1, Find(6)=1, Add (0,6)=73 Failed, w=68\",\"Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=68\",\"Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=68\",\"Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=68\",\"Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=68\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=68\",\"Find(5)=1, Find(6)=1, Add (5,6)=100 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,98],[0,3,62],[0,4,11],[0,6,73],[0,7,35],[1,3,93],[1,4,66],[1,6,27],[1,7,2],[2,3,13],[2,4,31],[2,5,94],[2,6,37],[2,7,40],[3,4,90],[3,5,97],[3,6,25],[3,7,8],[4,5,4],[4,6,65],[4,7,19],[5,6,100],[5,7,36],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(4,5)=4,(0,1)=5,(3,7)=8,(0,4)=11,(2,3)=13,(4,7)=19,(3,6)=25,(1,6)=27,(2,4)=31,(0,7)=35,(5,7)=36,(2,6)=37,(2,7)=40,(6,7)=59,(0,3)=62,(4,6)=65,(1,4)=66,(0,6)=73,(3,4)=90,(1,3)=93,(2,5)=94,(3,5)=97,(0,2)=98,(5,6)=100]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 1}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=6\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=8 Succeeded, w=19\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 4, 6: 6, 7: 1}, Find(0)=1, Find(4)=4, Add (0,4)=11 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 6, 7: 1}, Find(2)=2, Find(3)=1, Add (2,3)=13 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 6, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=19 Failed, w=43\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(3)=1, Find(6)=6, Add (3,6)=25 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=27 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=31 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=35 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=36 Failed, w=68\",\"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)=37 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=40 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=59 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=65 Failed, w=68\",\"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)=66 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=73 Failed, w=68\",\"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)=90 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=68\",\"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=68\",\"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)=97 Failed, w=68\",\"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)=98 Failed, w=68\",\"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)=100 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,100],[0,4,50],[1,2,60],[1,4,29],[2,3,55],[2,4,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,4,50],[1,2,60],[1,4,29],[2,3,55],[2,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,4,50],[1,2,60],[1,4,29],[2,3,55],[2,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,4,50],[1,2,60],[1,4,29],[2,3,55],[2,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=25, w=25\",\"Add (1,4)=29, w=54\",\"Add (0,4)=50, w=104\",\"Add (2,3)=55, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,4,50],[1,2,60],[1,4,29],[2,3,55],[2,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=25 Succeeded, w=25\",\"Add (1,4)=29 Succeeded, w=54\",\"Add (0,4)=50 Succeeded, w=104\",\"Add (2,3)=55 Succeeded, w=159\",\"Add (1,2)=60 Failed, w=159\",\"Add (0,1)=100 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,4,50],[1,2,60],[1,4,29],[2,3,55],[2,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=25,(1,4)=29,(0,4)=50,(2,3)=55,(1,2)=60,(0,1)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=25\",\"Find(1)=1, Find(4)=2, Add (1,4)=29 Succeeded, w=54\",\"Find(0)=0, Find(4)=2, Add (0,4)=50 Succeeded, w=104\",\"Find(2)=2, Find(3)=3, Add (2,3)=55 Succeeded, w=159\",\"Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=159\",\"Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,100],[0,4,50],[1,2,60],[1,4,29],[2,3,55],[2,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=25,(1,4)=29,(0,4)=50,(2,3)=55,(1,2)=60,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=29 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=50 Succeeded, w=104\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=55 Succeeded, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=100 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,97],[0,2,23],[0,3,22],[0,4,0],[0,5,100],[1,3,22],[1,4,65],[1,5,63],[2,3,6],[2,4,16],[2,5,97],[3,4,19],[4,5,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,23],[0,3,22],[0,4,0],[0,5,100],[1,3,22],[1,4,65],[1,5,63],[2,3,6],[2,4,16],[2,5,97],[3,4,19],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,23],[0,3,22],[0,4,0],[0,5,100],[1,3,22],[1,4,65],[1,5,63],[2,3,6],[2,4,16],[2,5,97],[3,4,19],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,23],[0,3,22],[0,4,0],[0,5,100],[1,3,22],[1,4,65],[1,5,63],[2,3,6],[2,4,16],[2,5,97],[3,4,19],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (2,3)=6, w=6\",\"Add (2,4)=16, w=22\",\"Add (1,3)=22, w=44\",\"Add (4,5)=51, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,23],[0,3,22],[0,4,0],[0,5,100],[1,3,22],[1,4,65],[1,5,63],[2,3,6],[2,4,16],[2,5,97],[3,4,19],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (2,3)=6 Succeeded, w=6\",\"Add (2,4)=16 Succeeded, w=22\",\"Add (3,4)=19 Failed, w=22\",\"Add (0,3)=22 Failed, w=22\",\"Add (1,3)=22 Succeeded, w=44\",\"Add (0,2)=23 Failed, w=44\",\"Add (4,5)=51 Succeeded, w=95\",\"Add (1,5)=63 Failed, w=95\",\"Add (1,4)=65 Failed, w=95\",\"Add (0,1)=97 Failed, w=95\",\"Add (2,5)=97 Failed, w=95\",\"Add (0,5)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,23],[0,3,22],[0,4,0],[0,5,100],[1,3,22],[1,4,65],[1,5,63],[2,3,6],[2,4,16],[2,5,97],[3,4,19],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,3)=6,(2,4)=16,(3,4)=19,(0,3)=22,(1,3)=22,(0,2)=23,(4,5)=51,(1,5)=63,(1,4)=65,(0,1)=97,(2,5)=97,(0,5)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(2)=2, Find(4)=0, Add (2,4)=16 Succeeded, w=22\",\"Find(3)=2, Find(4)=2, Add (3,4)=19 Failed, w=22\",\"Find(0)=2, Find(3)=2, Add (0,3)=22 Failed, w=22\",\"Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=44\",\"Find(0)=2, Find(2)=2, Add (0,2)=23 Failed, w=44\",\"Find(4)=2, Find(5)=5, Add (4,5)=51 Succeeded, w=95\",\"Find(1)=2, Find(5)=2, Add (1,5)=63 Failed, w=95\",\"Find(1)=2, Find(4)=2, Add (1,4)=65 Failed, w=95\",\"Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=95\",\"Find(2)=2, Find(5)=2, Add (2,5)=97 Failed, w=95\",\"Find(0)=2, Find(5)=2, Add (0,5)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,97],[0,2,23],[0,3,22],[0,4,0],[0,5,100],[1,3,22],[1,4,65],[1,5,63],[2,3,6],[2,4,16],[2,5,97],[3,4,19],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,3)=6,(2,4)=16,(3,4)=19,(0,3)=22,(1,3)=22,(0,2)=23,(4,5)=51,(1,5)=63,(1,4)=65,(0,1)=97,(2,5)=97,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=16 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=2, Find(4)=2, Add (3,4)=19 Failed, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=2, Find(3)=2, Add (0,3)=22 Failed, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=1, Find(3)=2, Add (1,3)=22 Succeeded, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=2, Find(2)=2, Add (0,2)=23 Failed, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=51 Succeeded, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=63 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=65 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=97 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=97 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,4,35],[1,2,80],[1,3,30],[1,4,81],[2,3,57],[2,4,23],[3,4,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,35],[1,2,80],[1,3,30],[1,4,81],[2,3,57],[2,4,23],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,35],[1,2,80],[1,3,30],[1,4,81],[2,3,57],[2,4,23],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,35],[1,2,80],[1,3,30],[1,4,81],[2,3,57],[2,4,23],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=23, w=23\",\"Add (1,3)=30, w=53\",\"Add (0,4)=35, w=88\",\"Add (2,3)=57, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,35],[1,2,80],[1,3,30],[1,4,81],[2,3,57],[2,4,23],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=23 Succeeded, w=23\",\"Add (1,3)=30 Succeeded, w=53\",\"Add (0,4)=35 Succeeded, w=88\",\"Add (2,3)=57 Succeeded, w=145\",\"Add (0,1)=74 Failed, w=145\",\"Add (1,2)=80 Failed, w=145\",\"Add (1,4)=81 Failed, w=145\",\"Add (3,4)=95 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,35],[1,2,80],[1,3,30],[1,4,81],[2,3,57],[2,4,23],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=23,(1,3)=30,(0,4)=35,(2,3)=57,(0,1)=74,(1,2)=80,(1,4)=81,(3,4)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=53\",\"Find(0)=0, Find(4)=2, Add (0,4)=35 Succeeded, w=88\",\"Find(2)=2, Find(3)=1, Add (2,3)=57 Succeeded, w=145\",\"Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=145\",\"Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=145\",\"Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=145\",\"Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,35],[1,2,80],[1,3,30],[1,4,81],[2,3,57],[2,4,23],[3,4,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=23,(1,3)=30,(0,4)=35,(2,3)=57,(0,1)=74,(1,2)=80,(1,4)=81,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=30 Succeeded, w=53\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=35 Succeeded, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(3)=1, Add (2,3)=57 Succeeded, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=74 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=80 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,11],[1,2,73],[1,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[1,2,73],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[1,2,73],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"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\":[[0,2,11],[1,2,73],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10, w=10\",\"Add (0,2)=11, w=21\",\"Add (1,2)=73, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[1,2,73],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=10 Succeeded, w=10\",\"Add (0,2)=11 Succeeded, w=21\",\"Add (1,2)=73 Succeeded, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[1,2,73],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,2)=11,(1,2)=73]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=21\",\"Find(1)=1, Find(2)=0, Add (1,2)=73 Succeeded, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,11],[1,2,73],[1,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=10,(0,2)=11,(1,2)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=73 Succeeded, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,91],[0,3,56],[0,4,92],[0,5,84],[1,2,27],[1,3,51],[1,5,30],[2,3,25],[2,5,76],[3,5,24],[4,5,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,3,56],[0,4,92],[0,5,84],[1,2,27],[1,3,51],[1,5,30],[2,3,25],[2,5,76],[3,5,24],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,3,56],[0,4,92],[0,5,84],[1,2,27],[1,3,51],[1,5,30],[2,3,25],[2,5,76],[3,5,24],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (0,3)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,3,56],[0,4,92],[0,5,84],[1,2,27],[1,3,51],[1,5,30],[2,3,25],[2,5,76],[3,5,24],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=24, w=24\",\"Add (2,3)=25, w=49\",\"Add (1,2)=27, w=76\",\"Add (4,5)=55, w=131\",\"Add (0,3)=56, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,3,56],[0,4,92],[0,5,84],[1,2,27],[1,3,51],[1,5,30],[2,3,25],[2,5,76],[3,5,24],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=24 Succeeded, w=24\",\"Add (2,3)=25 Succeeded, w=49\",\"Add (1,2)=27 Succeeded, w=76\",\"Add (1,5)=30 Failed, w=76\",\"Add (1,3)=51 Failed, w=76\",\"Add (4,5)=55 Succeeded, w=131\",\"Add (0,3)=56 Succeeded, w=187\",\"Add (2,5)=76 Failed, w=187\",\"Add (0,5)=84 Failed, w=187\",\"Add (0,1)=91 Failed, w=187\",\"Add (0,4)=92 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,3,56],[0,4,92],[0,5,84],[1,2,27],[1,3,51],[1,5,30],[2,3,25],[2,5,76],[3,5,24],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=24,(2,3)=25,(1,2)=27,(1,5)=30,(1,3)=51,(4,5)=55,(0,3)=56,(2,5)=76,(0,5)=84,(0,1)=91,(0,4)=92]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=24 Succeeded, w=24\",\"Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=49\",\"Find(1)=1, Find(2)=3, Add (1,2)=27 Succeeded, w=76\",\"Find(1)=3, Find(5)=3, Add (1,5)=30 Failed, w=76\",\"Find(1)=3, Find(3)=3, Add (1,3)=51 Failed, w=76\",\"Find(4)=4, Find(5)=3, Add (4,5)=55 Succeeded, w=131\",\"Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=187\",\"Find(2)=3, Find(5)=3, Add (2,5)=76 Failed, w=187\",\"Find(0)=3, Find(5)=3, Add (0,5)=84 Failed, w=187\",\"Find(0)=3, Find(1)=3, Add (0,1)=91 Failed, w=187\",\"Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,91],[0,3,56],[0,4,92],[0,5,84],[1,2,27],[1,3,51],[1,5,30],[2,3,25],[2,5,76],[3,5,24],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=24,(2,3)=25,(1,2)=27,(1,5)=30,(1,3)=51,(4,5)=55,(0,3)=56,(2,5)=76,(0,5)=84,(0,1)=91,(0,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=25 Succeeded, w=49\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(2)=3, Add (1,2)=27 Succeeded, w=76\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=30 Failed, w=76\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=51 Failed, w=76\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=55 Succeeded, w=131\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=187\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(5)=3, Add (2,5)=76 Failed, w=187\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=84 Failed, w=187\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=91 Failed, w=187\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=92 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,12],[0,3,26],[0,4,85],[0,5,0],[0,6,52],[0,7,84],[1,7,99],[2,3,91],[2,4,33],[3,6,20],[4,7,85],[5,7,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,12],[0,3,26],[0,4,85],[0,5,0],[0,6,52],[0,7,84],[1,7,99],[2,3,91],[2,4,33],[3,6,20],[4,7,85],[5,7,66]]}",
"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\":[[0,2,12],[0,3,26],[0,4,85],[0,5,0],[0,6,52],[0,7,84],[1,7,99],[2,3,91],[2,4,33],[3,6,20],[4,7,85],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,2)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (5,7)\",\"Add (1,7)\"],\"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\":[[0,2,12],[0,3,26],[0,4,85],[0,5,0],[0,6,52],[0,7,84],[1,7,99],[2,3,91],[2,4,33],[3,6,20],[4,7,85],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (0,2)=12, w=12\",\"Add (3,6)=20, w=32\",\"Add (0,3)=26, w=58\",\"Add (2,4)=33, w=91\",\"Add (5,7)=66, w=157\",\"Add (1,7)=99, 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\":[[0,2,12],[0,3,26],[0,4,85],[0,5,0],[0,6,52],[0,7,84],[1,7,99],[2,3,91],[2,4,33],[3,6,20],[4,7,85],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (0,2)=12 Succeeded, w=12\",\"Add (3,6)=20 Succeeded, w=32\",\"Add (0,3)=26 Succeeded, w=58\",\"Add (2,4)=33 Succeeded, w=91\",\"Add (0,6)=52 Failed, w=91\",\"Add (5,7)=66 Succeeded, w=157\",\"Add (0,7)=84 Failed, w=157\",\"Add (0,4)=85 Failed, w=157\",\"Add (4,7)=85 Failed, w=157\",\"Add (2,3)=91 Failed, w=157\",\"Add (1,7)=99 Succeeded, 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\":[[0,2,12],[0,3,26],[0,4,85],[0,5,0],[0,6,52],[0,7,84],[1,7,99],[2,3,91],[2,4,33],[3,6,20],[4,7,85],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,2)=12,(3,6)=20,(0,3)=26,(2,4)=33,(0,6)=52,(5,7)=66,(0,7)=84,(0,4)=85,(4,7)=85,(2,3)=91,(1,7)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(3)=3, Find(6)=6, Add (3,6)=20 Succeeded, w=32\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=58\",\"Find(2)=0, Find(4)=4, Add (2,4)=33 Succeeded, w=91\",\"Find(0)=0, Find(6)=0, Add (0,6)=52 Failed, w=91\",\"Find(5)=0, Find(7)=7, Add (5,7)=66 Succeeded, w=157\",\"Find(0)=0, Find(7)=0, Add (0,7)=84 Failed, w=157\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=157\",\"Find(4)=0, Find(7)=0, Add (4,7)=85 Failed, w=157\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=157\",\"Find(1)=1, Find(7)=0, Add (1,7)=99 Succeeded, 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\":[[0,2,12],[0,3,26],[0,4,85],[0,5,0],[0,6,52],[0,7,84],[1,7,99],[2,3,91],[2,4,33],[3,6,20],[4,7,85],[5,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,2)=12,(3,6)=20,(0,3)=26,(2,4)=33,(0,6)=52,(5,7)=66,(0,7)=84,(0,4)=85,(4,7)=85,(2,3)=91,(1,7)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=20 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 7}, Find(2)=0, Find(4)=4, Add (2,4)=33 Succeeded, w=91\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(6)=0, Add (0,6)=52 Failed, w=91\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=66 Succeeded, w=157\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=84 Failed, w=157\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=157\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=85 Failed, w=157\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=157\",\"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)=99 Succeeded, w=256\"],\"Answer\":256}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,55],[0,3,10],[1,2,18],[1,3,78],[2,3,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,10],[1,2,18],[1,3,78],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,10],[1,2,18],[1,3,78],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,10],[1,2,18],[1,3,78],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (1,2)=18, w=28\",\"Add (2,3)=27, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,10],[1,2,18],[1,3,78],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (1,2)=18 Succeeded, w=28\",\"Add (2,3)=27 Succeeded, w=55\",\"Add (0,1)=55 Failed, w=55\",\"Add (1,3)=78 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,10],[1,2,18],[1,3,78],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,2)=18,(2,3)=27,(0,1)=55,(1,3)=78]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=28\",\"Find(2)=1, Find(3)=0, Add (2,3)=27 Succeeded, w=55\",\"Find(0)=1, Find(1)=1, Add (0,1)=55 Failed, w=55\",\"Find(1)=1, Find(3)=1, Add (1,3)=78 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,55],[0,3,10],[1,2,18],[1,3,78],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(1,2)=18,(2,3)=27,(0,1)=55,(1,3)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=27 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=55 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=78 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,79],[0,5,74],[0,6,91],[1,2,76],[1,4,64],[2,4,37],[3,4,22],[3,5,48],[3,6,37],[4,5,18],[4,6,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,5,74],[0,6,91],[1,2,76],[1,4,64],[2,4,37],[3,4,22],[3,5,48],[3,6,37],[4,5,18],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,5,74],[0,6,91],[1,2,76],[1,4,64],[2,4,37],[3,4,22],[3,5,48],[3,6,37],[4,5,18],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (0,5)\"],\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,5,74],[0,6,91],[1,2,76],[1,4,64],[2,4,37],[3,4,22],[3,5,48],[3,6,37],[4,5,18],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=18, w=18\",\"Add (3,4)=22, w=40\",\"Add (2,4)=37, w=77\",\"Add (3,6)=37, w=114\",\"Add (1,4)=64, w=178\",\"Add (0,5)=74, w=252\"],\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,5,74],[0,6,91],[1,2,76],[1,4,64],[2,4,37],[3,4,22],[3,5,48],[3,6,37],[4,5,18],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=18 Succeeded, w=18\",\"Add (3,4)=22 Succeeded, w=40\",\"Add (2,4)=37 Succeeded, w=77\",\"Add (3,6)=37 Succeeded, w=114\",\"Add (4,6)=43 Failed, w=114\",\"Add (3,5)=48 Failed, w=114\",\"Add (1,4)=64 Succeeded, w=178\",\"Add (0,5)=74 Succeeded, w=252\",\"Add (1,2)=76 Failed, w=252\",\"Add (0,1)=79 Failed, w=252\",\"Add (0,6)=91 Failed, w=252\"],\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,5,74],[0,6,91],[1,2,76],[1,4,64],[2,4,37],[3,4,22],[3,5,48],[3,6,37],[4,5,18],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=18,(3,4)=22,(2,4)=37,(3,6)=37,(4,6)=43,(3,5)=48,(1,4)=64,(0,5)=74,(1,2)=76,(0,1)=79,(0,6)=91]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=18 Succeeded, w=18\",\"Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=40\",\"Find(2)=2, Find(4)=4, Add (2,4)=37 Succeeded, w=77\",\"Find(3)=4, Find(6)=6, Add (3,6)=37 Succeeded, w=114\",\"Find(4)=4, Find(6)=4, Add (4,6)=43 Failed, w=114\",\"Find(3)=4, Find(5)=4, Add (3,5)=48 Failed, w=114\",\"Find(1)=1, Find(4)=4, Add (1,4)=64 Succeeded, w=178\",\"Find(0)=0, Find(5)=4, Add (0,5)=74 Succeeded, w=252\",\"Find(1)=4, Find(2)=4, Add (1,2)=76 Failed, w=252\",\"Find(0)=4, Find(1)=4, Add (0,1)=79 Failed, w=252\",\"Find(0)=4, Find(6)=4, Add (0,6)=91 Failed, w=252\"],\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,5,74],[0,6,91],[1,2,76],[1,4,64],[2,4,37],[3,4,22],[3,5,48],[3,6,37],[4,5,18],[4,6,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=18,(3,4)=22,(2,4)=37,(3,6)=37,(4,6)=43,(3,5)=48,(1,4)=64,(0,5)=74,(1,2)=76,(0,1)=79,(0,6)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=37 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=6, Add (3,6)=37 Succeeded, w=114\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=43 Failed, w=114\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=48 Failed, w=114\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=64 Succeeded, w=178\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(5)=4, Add (0,5)=74 Succeeded, w=252\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=76 Failed, w=252\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=79 Failed, w=252\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=91 Failed, w=252\"],\"Answer\":252}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,3,98],[1,2,70],[1,3,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,98],[1,2,70],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,98],[1,2,70],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,98],[1,2,70],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=70, w=70\",\"Add (1,3)=70, w=140\",\"Add (0,1)=91, w=231\"],\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,98],[1,2,70],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=70 Succeeded, w=70\",\"Add (1,3)=70 Succeeded, w=140\",\"Add (0,1)=91 Succeeded, w=231\",\"Add (0,3)=98 Failed, w=231\"],\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,98],[1,2,70],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=70,(1,3)=70,(0,1)=91,(0,3)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=70 Succeeded, w=70\",\"Find(1)=1, Find(3)=3, Add (1,3)=70 Succeeded, w=140\",\"Find(0)=0, Find(1)=1, Add (0,1)=91 Succeeded, w=231\",\"Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=231\"],\"Answer\":231}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,3,98],[1,2,70],[1,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=70,(1,3)=70,(0,1)=91,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=70 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=70 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=91 Succeeded, w=231\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=98 Failed, w=231\"],\"Answer\":231}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,77],[0,3,22],[1,2,49],[1,3,77],[2,3,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,77],[0,3,22],[1,2,49],[1,3,77],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,77],[0,3,22],[1,2,49],[1,3,77],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,77],[0,3,22],[1,2,49],[1,3,77],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=22, w=22\",\"Add (0,1)=36, w=58\",\"Add (1,2)=49, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,77],[0,3,22],[1,2,49],[1,3,77],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=22 Succeeded, w=22\",\"Add (0,1)=36 Succeeded, w=58\",\"Add (1,2)=49 Succeeded, w=107\",\"Add (0,2)=77 Failed, w=107\",\"Add (1,3)=77 Failed, w=107\",\"Add (2,3)=81 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,77],[0,3,22],[1,2,49],[1,3,77],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=22,(0,1)=36,(1,2)=49,(0,2)=77,(1,3)=77,(2,3)=81]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=58\",\"Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=107\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=107\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=107\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,77],[0,3,22],[1,2,49],[1,3,77],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=22,(0,1)=36,(1,2)=49,(0,2)=77,(1,3)=77,(2,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=49 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,51],[0,3,51],[0,4,28],[0,5,86],[1,3,21],[1,4,58],[1,5,7],[2,3,26],[2,4,15],[2,5,16],[3,4,62],[4,5,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,51],[0,4,28],[0,5,86],[1,3,21],[1,4,58],[1,5,7],[2,3,26],[2,4,15],[2,5,16],[3,4,62],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,51],[0,4,28],[0,5,86],[1,3,21],[1,4,58],[1,5,7],[2,3,26],[2,4,15],[2,5,16],[3,4,62],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (1,3)\",\"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],\"edges\":[[0,2,51],[0,3,51],[0,4,28],[0,5,86],[1,3,21],[1,4,58],[1,5,7],[2,3,26],[2,4,15],[2,5,16],[3,4,62],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7, w=7\",\"Add (2,4)=15, w=22\",\"Add (2,5)=16, w=38\",\"Add (1,3)=21, w=59\",\"Add (0,4)=28, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,51],[0,4,28],[0,5,86],[1,3,21],[1,4,58],[1,5,7],[2,3,26],[2,4,15],[2,5,16],[3,4,62],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=7 Succeeded, w=7\",\"Add (2,4)=15 Succeeded, w=22\",\"Add (2,5)=16 Succeeded, w=38\",\"Add (1,3)=21 Succeeded, w=59\",\"Add (2,3)=26 Failed, w=59\",\"Add (0,4)=28 Succeeded, w=87\",\"Add (0,2)=51 Failed, w=87\",\"Add (0,3)=51 Failed, w=87\",\"Add (1,4)=58 Failed, w=87\",\"Add (3,4)=62 Failed, w=87\",\"Add (0,5)=86 Failed, w=87\",\"Add (4,5)=95 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,51],[0,4,28],[0,5,86],[1,3,21],[1,4,58],[1,5,7],[2,3,26],[2,4,15],[2,5,16],[3,4,62],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(2,4)=15,(2,5)=16,(1,3)=21,(2,3)=26,(0,4)=28,(0,2)=51,(0,3)=51,(1,4)=58,(3,4)=62,(0,5)=86,(4,5)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=22\",\"Find(2)=2, Find(5)=1, Add (2,5)=16 Succeeded, w=38\",\"Find(1)=2, Find(3)=3, Add (1,3)=21 Succeeded, w=59\",\"Find(2)=2, Find(3)=2, Add (2,3)=26 Failed, w=59\",\"Find(0)=0, Find(4)=2, Add (0,4)=28 Succeeded, w=87\",\"Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=87\",\"Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=87\",\"Find(1)=2, Find(4)=2, Add (1,4)=58 Failed, w=87\",\"Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=87\",\"Find(0)=2, Find(5)=2, Add (0,5)=86 Failed, w=87\",\"Find(4)=2, Find(5)=2, Add (4,5)=95 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,3,51],[0,4,28],[0,5,86],[1,3,21],[1,4,58],[1,5,7],[2,3,26],[2,4,15],[2,5,16],[3,4,62],[4,5,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=7,(2,4)=15,(2,5)=16,(1,3)=21,(2,3)=26,(0,4)=28,(0,2)=51,(0,3)=51,(1,4)=58,(3,4)=62,(0,5)=86,(4,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=16 Succeeded, w=38\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=2, Find(3)=3, Add (1,3)=21 Succeeded, w=59\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(2)=2, Find(3)=2, Add (2,3)=26 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=0, Find(4)=2, Add (0,4)=28 Succeeded, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=2, Find(4)=2, Add (1,4)=58 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(3)=2, Find(4)=2, Add (3,4)=62 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=86 Failed, w=87\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=95 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,52],[1,2,87],[1,3,8],[2,3,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,52],[1,2,87],[1,3,8],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,52],[1,2,87],[1,3,8],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,52],[1,2,87],[1,3,8],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8, w=8\",\"Add (2,3)=9, w=17\",\"Add (0,3)=52, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,52],[1,2,87],[1,3,8],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8 Succeeded, w=8\",\"Add (2,3)=9 Succeeded, w=17\",\"Add (0,3)=52 Succeeded, w=69\",\"Add (1,2)=87 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,52],[1,2,87],[1,3,8],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(2,3)=9,(0,3)=52,(1,2)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=1, Add (2,3)=9 Succeeded, w=17\",\"Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=69\",\"Find(1)=1, Find(2)=1, Add (1,2)=87 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,52],[1,2,87],[1,3,8],[2,3,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(2,3)=9,(0,3)=52,(1,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=9 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=52 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=87 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,2,67],[0,3,86],[0,6,20],[0,7,56],[1,2,89],[1,3,47],[1,5,29],[1,6,79],[1,7,54],[2,3,66],[2,4,80],[2,5,37],[2,6,16],[2,7,33],[3,4,13],[3,5,14],[3,6,42],[3,7,49],[4,5,49],[4,6,85],[4,7,55],[5,6,88],[5,7,3],[6,7,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,67],[0,3,86],[0,6,20],[0,7,56],[1,2,89],[1,3,47],[1,5,29],[1,6,79],[1,7,54],[2,3,66],[2,4,80],[2,5,37],[2,6,16],[2,7,33],[3,4,13],[3,5,14],[3,6,42],[3,7,49],[4,5,49],[4,6,85],[4,7,55],[5,6,88],[5,7,3],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,67],[0,3,86],[0,6,20],[0,7,56],[1,2,89],[1,3,47],[1,5,29],[1,6,79],[1,7,54],[2,3,66],[2,4,80],[2,5,37],[2,6,16],[2,7,33],[3,4,13],[3,5,14],[3,6,42],[3,7,49],[4,5,49],[4,6,85],[4,7,55],[5,6,88],[5,7,3],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (1,5)\",\"Add (2,7)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,67],[0,3,86],[0,6,20],[0,7,56],[1,2,89],[1,3,47],[1,5,29],[1,6,79],[1,7,54],[2,3,66],[2,4,80],[2,5,37],[2,6,16],[2,7,33],[3,4,13],[3,5,14],[3,6,42],[3,7,49],[4,5,49],[4,6,85],[4,7,55],[5,6,88],[5,7,3],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=3, w=3\",\"Add (3,4)=13, w=16\",\"Add (3,5)=14, w=30\",\"Add (2,6)=16, w=46\",\"Add (0,6)=20, w=66\",\"Add (1,5)=29, w=95\",\"Add (2,7)=33, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,67],[0,3,86],[0,6,20],[0,7,56],[1,2,89],[1,3,47],[1,5,29],[1,6,79],[1,7,54],[2,3,66],[2,4,80],[2,5,37],[2,6,16],[2,7,33],[3,4,13],[3,5,14],[3,6,42],[3,7,49],[4,5,49],[4,6,85],[4,7,55],[5,6,88],[5,7,3],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=3 Succeeded, w=3\",\"Add (3,4)=13 Succeeded, w=16\",\"Add (3,5)=14 Succeeded, w=30\",\"Add (2,6)=16 Succeeded, w=46\",\"Add (0,6)=20 Succeeded, w=66\",\"Add (1,5)=29 Succeeded, w=95\",\"Add (2,7)=33 Succeeded, w=128\",\"Add (2,5)=37 Failed, w=128\",\"Add (3,6)=42 Failed, w=128\",\"Add (1,3)=47 Failed, w=128\",\"Add (3,7)=49 Failed, w=128\",\"Add (4,5)=49 Failed, w=128\",\"Add (1,7)=54 Failed, w=128\",\"Add (4,7)=55 Failed, w=128\",\"Add (0,7)=56 Failed, w=128\",\"Add (2,3)=66 Failed, w=128\",\"Add (0,2)=67 Failed, w=128\",\"Add (0,1)=76 Failed, w=128\",\"Add (6,7)=78 Failed, w=128\",\"Add (1,6)=79 Failed, w=128\",\"Add (2,4)=80 Failed, w=128\",\"Add (4,6)=85 Failed, w=128\",\"Add (0,3)=86 Failed, w=128\",\"Add (5,6)=88 Failed, w=128\",\"Add (1,2)=89 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,67],[0,3,86],[0,6,20],[0,7,56],[1,2,89],[1,3,47],[1,5,29],[1,6,79],[1,7,54],[2,3,66],[2,4,80],[2,5,37],[2,6,16],[2,7,33],[3,4,13],[3,5,14],[3,6,42],[3,7,49],[4,5,49],[4,6,85],[4,7,55],[5,6,88],[5,7,3],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=3,(3,4)=13,(3,5)=14,(2,6)=16,(0,6)=20,(1,5)=29,(2,7)=33,(2,5)=37,(3,6)=42,(1,3)=47,(3,7)=49,(4,5)=49,(1,7)=54,(4,7)=55,(0,7)=56,(2,3)=66,(0,2)=67,(0,1)=76,(6,7)=78,(1,6)=79,(2,4)=80,(4,6)=85,(0,3)=86,(5,6)=88,(1,2)=89]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=16\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=30\",\"Find(2)=2, Find(6)=6, Add (2,6)=16 Succeeded, w=46\",\"Find(0)=0, Find(6)=2, Add (0,6)=20 Succeeded, w=66\",\"Find(1)=1, Find(5)=3, Add (1,5)=29 Succeeded, w=95\",\"Find(2)=2, Find(7)=3, Add (2,7)=33 Succeeded, w=128\",\"Find(2)=3, Find(5)=3, Add (2,5)=37 Failed, w=128\",\"Find(3)=3, Find(6)=3, Add (3,6)=42 Failed, w=128\",\"Find(1)=3, Find(3)=3, Add (1,3)=47 Failed, w=128\",\"Find(3)=3, Find(7)=3, Add (3,7)=49 Failed, w=128\",\"Find(4)=3, Find(5)=3, Add (4,5)=49 Failed, w=128\",\"Find(1)=3, Find(7)=3, Add (1,7)=54 Failed, w=128\",\"Find(4)=3, Find(7)=3, Add (4,7)=55 Failed, w=128\",\"Find(0)=3, Find(7)=3, Add (0,7)=56 Failed, w=128\",\"Find(2)=3, Find(3)=3, Add (2,3)=66 Failed, w=128\",\"Find(0)=3, Find(2)=3, Add (0,2)=67 Failed, w=128\",\"Find(0)=3, Find(1)=3, Add (0,1)=76 Failed, w=128\",\"Find(6)=3, Find(7)=3, Add (6,7)=78 Failed, w=128\",\"Find(1)=3, Find(6)=3, Add (1,6)=79 Failed, w=128\",\"Find(2)=3, Find(4)=3, Add (2,4)=80 Failed, w=128\",\"Find(4)=3, Find(6)=3, Add (4,6)=85 Failed, w=128\",\"Find(0)=3, Find(3)=3, Add (0,3)=86 Failed, w=128\",\"Find(5)=3, Find(6)=3, Add (5,6)=88 Failed, w=128\",\"Find(1)=3, Find(2)=3, Add (1,2)=89 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,2,67],[0,3,86],[0,6,20],[0,7,56],[1,2,89],[1,3,47],[1,5,29],[1,6,79],[1,7,54],[2,3,66],[2,4,80],[2,5,37],[2,6,16],[2,7,33],[3,4,13],[3,5,14],[3,6,42],[3,7,49],[4,5,49],[4,6,85],[4,7,55],[5,6,88],[5,7,3],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=3,(3,4)=13,(3,5)=14,(2,6)=16,(0,6)=20,(1,5)=29,(2,7)=33,(2,5)=37,(3,6)=42,(1,3)=47,(3,7)=49,(4,5)=49,(1,7)=54,(4,7)=55,(0,7)=56,(2,3)=66,(0,2)=67,(0,1)=76,(6,7)=78,(1,6)=79,(2,4)=80,(4,6)=85,(0,3)=86,(5,6)=88,(1,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 5}, Find(3)=3, Find(4)=4, Add (3,4)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 5}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2, 7: 5}, Find(2)=2, Find(6)=6, Add (2,6)=16 Succeeded, w=46\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2, 7: 5}, Find(0)=0, Find(6)=2, Add (0,6)=20 Succeeded, w=66\",\"Parent: {0: 2, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2, 7: 5}, Find(1)=1, Find(5)=3, Add (1,5)=29 Succeeded, w=95\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=33 Succeeded, w=128\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=37 Failed, w=128\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=42 Failed, w=128\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=47 Failed, w=128\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=49 Failed, w=128\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=49 Failed, w=128\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=54 Failed, w=128\",\"Parent: {0: 2, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=55 Failed, w=128\",\"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)=56 Failed, w=128\",\"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)=66 Failed, w=128\",\"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)=67 Failed, w=128\",\"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)=76 Failed, w=128\",\"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=128\",\"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)=79 Failed, w=128\",\"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)=80 Failed, w=128\",\"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)=85 Failed, w=128\",\"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)=86 Failed, w=128\",\"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)=88 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=89 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,2,1],[0,3,36],[0,4,12],[0,5,51],[0,6,28],[1,2,28],[1,3,58],[1,4,99],[1,6,96],[2,3,61],[2,4,41],[2,5,54],[2,6,61],[3,4,17],[3,5,85],[3,6,61],[4,5,73],[4,6,35],[5,6,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,1],[0,3,36],[0,4,12],[0,5,51],[0,6,28],[1,2,28],[1,3,58],[1,4,99],[1,6,96],[2,3,61],[2,4,41],[2,5,54],[2,6,61],[3,4,17],[3,5,85],[3,6,61],[4,5,73],[4,6,35],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,1],[0,3,36],[0,4,12],[0,5,51],[0,6,28],[1,2,28],[1,3,58],[1,4,99],[1,6,96],[2,3,61],[2,4,41],[2,5,54],[2,6,61],[3,4,17],[3,5,85],[3,6,61],[4,5,73],[4,6,35],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (1,2)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,1],[0,3,36],[0,4,12],[0,5,51],[0,6,28],[1,2,28],[1,3,58],[1,4,99],[1,6,96],[2,3,61],[2,4,41],[2,5,54],[2,6,61],[3,4,17],[3,5,85],[3,6,61],[4,5,73],[4,6,35],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,4)=12, w=13\",\"Add (3,4)=17, w=30\",\"Add (5,6)=19, w=49\",\"Add (0,6)=28, w=77\",\"Add (1,2)=28, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,1],[0,3,36],[0,4,12],[0,5,51],[0,6,28],[1,2,28],[1,3,58],[1,4,99],[1,6,96],[2,3,61],[2,4,41],[2,5,54],[2,6,61],[3,4,17],[3,5,85],[3,6,61],[4,5,73],[4,6,35],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,4)=12 Succeeded, w=13\",\"Add (3,4)=17 Succeeded, w=30\",\"Add (5,6)=19 Succeeded, w=49\",\"Add (0,6)=28 Succeeded, w=77\",\"Add (1,2)=28 Succeeded, w=105\",\"Add (4,6)=35 Failed, w=105\",\"Add (0,3)=36 Failed, w=105\",\"Add (2,4)=41 Failed, w=105\",\"Add (0,5)=51 Failed, w=105\",\"Add (2,5)=54 Failed, w=105\",\"Add (1,3)=58 Failed, w=105\",\"Add (0,1)=61 Failed, w=105\",\"Add (2,3)=61 Failed, w=105\",\"Add (2,6)=61 Failed, w=105\",\"Add (3,6)=61 Failed, w=105\",\"Add (4,5)=73 Failed, w=105\",\"Add (3,5)=85 Failed, w=105\",\"Add (1,6)=96 Failed, w=105\",\"Add (1,4)=99 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,1],[0,3,36],[0,4,12],[0,5,51],[0,6,28],[1,2,28],[1,3,58],[1,4,99],[1,6,96],[2,3,61],[2,4,41],[2,5,54],[2,6,61],[3,4,17],[3,5,85],[3,6,61],[4,5,73],[4,6,35],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,4)=12,(3,4)=17,(5,6)=19,(0,6)=28,(1,2)=28,(4,6)=35,(0,3)=36,(2,4)=41,(0,5)=51,(2,5)=54,(1,3)=58,(0,1)=61,(2,3)=61,(2,6)=61,(3,6)=61,(4,5)=73,(3,5)=85,(1,6)=96,(1,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=13\",\"Find(3)=3, Find(4)=0, Add (3,4)=17 Succeeded, w=30\",\"Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=49\",\"Find(0)=0, Find(6)=5, Add (0,6)=28 Succeeded, w=77\",\"Find(1)=1, Find(2)=0, Add (1,2)=28 Succeeded, w=105\",\"Find(4)=0, Find(6)=0, Add (4,6)=35 Failed, w=105\",\"Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=105\",\"Find(2)=0, Find(4)=0, Add (2,4)=41 Failed, w=105\",\"Find(0)=0, Find(5)=0, Add (0,5)=51 Failed, w=105\",\"Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=105\",\"Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=105\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=105\",\"Find(2)=0, Find(3)=0, Add (2,3)=61 Failed, w=105\",\"Find(2)=0, Find(6)=0, Add (2,6)=61 Failed, w=105\",\"Find(3)=0, Find(6)=0, Add (3,6)=61 Failed, w=105\",\"Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=105\",\"Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=105\",\"Find(1)=0, Find(6)=0, Add (1,6)=96 Failed, w=105\",\"Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,2,1],[0,3,36],[0,4,12],[0,5,51],[0,6,28],[1,2,28],[1,3,58],[1,4,99],[1,6,96],[2,3,61],[2,4,41],[2,5,54],[2,6,61],[3,4,17],[3,5,85],[3,6,61],[4,5,73],[4,6,35],[5,6,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,4)=12,(3,4)=17,(5,6)=19,(0,6)=28,(1,2)=28,(4,6)=35,(0,3)=36,(2,4)=41,(0,5)=51,(2,5)=54,(1,3)=58,(0,1)=61,(2,3)=61,(2,6)=61,(3,6)=61,(4,5)=73,(3,5)=85,(1,6)=96,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=19 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(0)=0, Find(6)=5, Add (0,6)=28 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5}, Find(1)=1, Find(2)=0, Add (1,2)=28 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=35 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=41 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=51 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=61 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=61 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=61 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=85 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=96 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=99 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,63],[0,3,13],[0,5,39],[1,2,41],[1,5,48],[2,3,89],[2,4,36],[2,5,77],[3,4,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,63],[0,3,13],[0,5,39],[1,2,41],[1,5,48],[2,3,89],[2,4,36],[2,5,77],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,63],[0,3,13],[0,5,39],[1,2,41],[1,5,48],[2,3,89],[2,4,36],[2,5,77],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (1,5)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,63],[0,3,13],[0,5,39],[1,2,41],[1,5,48],[2,3,89],[2,4,36],[2,5,77],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (2,4)=36, w=49\",\"Add (0,5)=39, w=88\",\"Add (1,2)=41, w=129\",\"Add (1,5)=48, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,63],[0,3,13],[0,5,39],[1,2,41],[1,5,48],[2,3,89],[2,4,36],[2,5,77],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (2,4)=36 Succeeded, w=49\",\"Add (0,5)=39 Succeeded, w=88\",\"Add (1,2)=41 Succeeded, w=129\",\"Add (1,5)=48 Succeeded, w=177\",\"Add (0,2)=63 Failed, w=177\",\"Add (2,5)=77 Failed, w=177\",\"Add (3,4)=84 Failed, w=177\",\"Add (2,3)=89 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,63],[0,3,13],[0,5,39],[1,2,41],[1,5,48],[2,3,89],[2,4,36],[2,5,77],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(2,4)=36,(0,5)=39,(1,2)=41,(1,5)=48,(0,2)=63,(2,5)=77,(3,4)=84,(2,3)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=49\",\"Find(0)=0, Find(5)=5, Add (0,5)=39 Succeeded, w=88\",\"Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=129\",\"Find(1)=2, Find(5)=0, Add (1,5)=48 Succeeded, w=177\",\"Find(0)=2, Find(2)=2, Add (0,2)=63 Failed, w=177\",\"Find(2)=2, Find(5)=2, Add (2,5)=77 Failed, w=177\",\"Find(3)=2, Find(4)=2, Add (3,4)=84 Failed, w=177\",\"Find(2)=2, Find(3)=2, Add (2,3)=89 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,63],[0,3,13],[0,5,39],[1,2,41],[1,5,48],[2,3,89],[2,4,36],[2,5,77],[3,4,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(2,4)=36,(0,5)=39,(1,2)=41,(1,5)=48,(0,2)=63,(2,5)=77,(3,4)=84,(2,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=36 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=39 Succeeded, w=88\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=41 Succeeded, w=129\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0}, Find(1)=2, Find(5)=0, Add (1,5)=48 Succeeded, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 0}, Find(0)=2, Find(2)=2, Add (0,2)=63 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=77 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=84 Failed, w=177\",\"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=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,93],[0,3,74],[0,4,80],[0,5,71],[0,6,26],[0,7,92],[1,2,72],[1,5,86],[1,6,23],[1,7,17],[2,3,96],[2,4,100],[2,5,69],[3,4,51],[3,5,87],[3,7,21],[4,7,56],[5,7,32],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,3,74],[0,4,80],[0,5,71],[0,6,26],[0,7,92],[1,2,72],[1,5,86],[1,6,23],[1,7,17],[2,3,96],[2,4,100],[2,5,69],[3,4,51],[3,5,87],[3,7,21],[4,7,56],[5,7,32],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,3,74],[0,4,80],[0,5,71],[0,6,26],[0,7,92],[1,2,72],[1,5,86],[1,6,23],[1,7,17],[2,3,96],[2,4,100],[2,5,69],[3,4,51],[3,5,87],[3,7,21],[4,7,56],[5,7,32],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (1,7)\",\"Add (3,7)\",\"Add (0,6)\",\"Add (5,7)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,3,74],[0,4,80],[0,5,71],[0,6,26],[0,7,92],[1,2,72],[1,5,86],[1,6,23],[1,7,17],[2,3,96],[2,4,100],[2,5,69],[3,4,51],[3,5,87],[3,7,21],[4,7,56],[5,7,32],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8, w=8\",\"Add (1,7)=17, w=25\",\"Add (3,7)=21, w=46\",\"Add (0,6)=26, w=72\",\"Add (5,7)=32, w=104\",\"Add (3,4)=51, w=155\",\"Add (2,5)=69, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,3,74],[0,4,80],[0,5,71],[0,6,26],[0,7,92],[1,2,72],[1,5,86],[1,6,23],[1,7,17],[2,3,96],[2,4,100],[2,5,69],[3,4,51],[3,5,87],[3,7,21],[4,7,56],[5,7,32],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=8 Succeeded, w=8\",\"Add (1,7)=17 Succeeded, w=25\",\"Add (3,7)=21 Succeeded, w=46\",\"Add (1,6)=23 Failed, w=46\",\"Add (0,6)=26 Succeeded, w=72\",\"Add (5,7)=32 Succeeded, w=104\",\"Add (3,4)=51 Succeeded, w=155\",\"Add (4,7)=56 Failed, w=155\",\"Add (2,5)=69 Succeeded, w=224\",\"Add (0,5)=71 Failed, w=224\",\"Add (1,2)=72 Failed, w=224\",\"Add (0,3)=74 Failed, w=224\",\"Add (0,4)=80 Failed, w=224\",\"Add (1,5)=86 Failed, w=224\",\"Add (3,5)=87 Failed, w=224\",\"Add (0,7)=92 Failed, w=224\",\"Add (0,1)=93 Failed, w=224\",\"Add (2,3)=96 Failed, w=224\",\"Add (2,4)=100 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,3,74],[0,4,80],[0,5,71],[0,6,26],[0,7,92],[1,2,72],[1,5,86],[1,6,23],[1,7,17],[2,3,96],[2,4,100],[2,5,69],[3,4,51],[3,5,87],[3,7,21],[4,7,56],[5,7,32],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(1,7)=17,(3,7)=21,(1,6)=23,(0,6)=26,(5,7)=32,(3,4)=51,(4,7)=56,(2,5)=69,(0,5)=71,(1,2)=72,(0,3)=74,(0,4)=80,(1,5)=86,(3,5)=87,(0,7)=92,(0,1)=93,(2,3)=96,(2,4)=100]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=8\",\"Find(1)=1, Find(7)=6, Add (1,7)=17 Succeeded, w=25\",\"Find(3)=3, Find(7)=6, Add (3,7)=21 Succeeded, w=46\",\"Find(1)=6, Find(6)=6, Add (1,6)=23 Failed, w=46\",\"Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=72\",\"Find(5)=5, Find(7)=6, Add (5,7)=32 Succeeded, w=104\",\"Find(3)=6, Find(4)=4, Add (3,4)=51 Succeeded, w=155\",\"Find(4)=6, Find(7)=6, Add (4,7)=56 Failed, w=155\",\"Find(2)=2, Find(5)=6, Add (2,5)=69 Succeeded, w=224\",\"Find(0)=6, Find(5)=6, Add (0,5)=71 Failed, w=224\",\"Find(1)=6, Find(2)=6, Add (1,2)=72 Failed, w=224\",\"Find(0)=6, Find(3)=6, Add (0,3)=74 Failed, w=224\",\"Find(0)=6, Find(4)=6, Add (0,4)=80 Failed, w=224\",\"Find(1)=6, Find(5)=6, Add (1,5)=86 Failed, w=224\",\"Find(3)=6, Find(5)=6, Add (3,5)=87 Failed, w=224\",\"Find(0)=6, Find(7)=6, Add (0,7)=92 Failed, w=224\",\"Find(0)=6, Find(1)=6, Add (0,1)=93 Failed, w=224\",\"Find(2)=6, Find(3)=6, Add (2,3)=96 Failed, w=224\",\"Find(2)=6, Find(4)=6, Add (2,4)=100 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,3,74],[0,4,80],[0,5,71],[0,6,26],[0,7,92],[1,2,72],[1,5,86],[1,6,23],[1,7,17],[2,3,96],[2,4,100],[2,5,69],[3,4,51],[3,5,87],[3,7,21],[4,7,56],[5,7,32],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=8,(1,7)=17,(3,7)=21,(1,6)=23,(0,6)=26,(5,7)=32,(3,4)=51,(4,7)=56,(2,5)=69,(0,5)=71,(1,2)=72,(0,3)=74,(0,4)=80,(1,5)=86,(3,5)=87,(0,7)=92,(0,1)=93,(2,3)=96,(2,4)=100]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(7)=6, Add (1,7)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=21 Succeeded, w=46\",\"Parent: {0: 0, 1: 6, 2: 2, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(1)=6, Find(6)=6, Add (1,6)=23 Failed, w=46\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=26 Succeeded, w=72\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 6, 4: 4, 5: 6, 6: 6, 7: 6}, Find(5)=5, Find(7)=6, Add (5,7)=32 Succeeded, w=104\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(4)=4, Add (3,4)=51 Succeeded, w=155\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(7)=6, Add (4,7)=56 Failed, w=155\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=2, Find(5)=6, Add (2,5)=69 Succeeded, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(5)=6, Add (0,5)=71 Failed, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(2)=6, Add (1,2)=72 Failed, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(3)=6, Add (0,3)=74 Failed, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(4)=6, Add (0,4)=80 Failed, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(5)=6, Add (1,5)=86 Failed, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(5)=6, Add (3,5)=87 Failed, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(7)=6, Add (0,7)=92 Failed, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(1)=6, Add (0,1)=93 Failed, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(3)=6, Add (2,3)=96 Failed, w=224\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(4)=6, Add (2,4)=100 Failed, w=224\"],\"Answer\":224}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,74],[0,3,90],[1,2,66],[1,3,48],[1,4,31],[2,3,39],[3,4,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,90],[1,2,66],[1,3,48],[1,4,31],[2,3,39],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,90],[1,2,66],[1,3,48],[1,4,31],[2,3,39],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,90],[1,2,66],[1,3,48],[1,4,31],[2,3,39],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=31, w=31\",\"Add (2,3)=39, w=70\",\"Add (1,3)=48, w=118\",\"Add (0,2)=74, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,90],[1,2,66],[1,3,48],[1,4,31],[2,3,39],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=31 Succeeded, w=31\",\"Add (2,3)=39 Succeeded, w=70\",\"Add (1,3)=48 Succeeded, w=118\",\"Add (1,2)=66 Failed, w=118\",\"Add (0,2)=74 Succeeded, w=192\",\"Add (3,4)=85 Failed, w=192\",\"Add (0,3)=90 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,90],[1,2,66],[1,3,48],[1,4,31],[2,3,39],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=31,(2,3)=39,(1,3)=48,(1,2)=66,(0,2)=74,(3,4)=85,(0,3)=90]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=31\",\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=70\",\"Find(1)=1, Find(3)=2, Add (1,3)=48 Succeeded, w=118\",\"Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=118\",\"Find(0)=0, Find(2)=1, Add (0,2)=74 Succeeded, w=192\",\"Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=192\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,74],[0,3,90],[1,2,66],[1,3,48],[1,4,31],[2,3,39],[3,4,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=31,(2,3)=39,(1,3)=48,(1,2)=66,(0,2)=74,(3,4)=85,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1}, Find(1)=1, Find(3)=2, Add (1,3)=48 Succeeded, w=118\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=118\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=74 Succeeded, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=85 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,9],[0,3,4],[1,2,38],[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,9],[0,3,4],[1,2,38],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,9],[0,3,4],[1,2,38],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,9],[0,3,4],[1,2,38],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (0,2)=9, w=13\",\"Add (1,2)=38, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,9],[0,3,4],[1,2,38],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (0,2)=9 Succeeded, w=13\",\"Add (2,3)=10 Failed, w=13\",\"Add (1,2)=38 Succeeded, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,9],[0,3,4],[1,2,38],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,2)=9,(2,3)=10,(1,2)=38]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=13\",\"Find(2)=0, Find(3)=0, Add (2,3)=10 Failed, w=13\",\"Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,9],[0,3,4],[1,2,38],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(0,2)=9,(2,3)=10,(1,2)=38]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=10 Failed, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,73],[0,4,59],[2,5,13],[4,5,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,73],[0,4,59],[2,5,13],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,73],[0,4,59],[2,5,13],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (4,5)\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,73],[0,4,59],[2,5,13],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=13, w=13\",\"Add (0,4)=59, w=72\",\"Add (0,3)=73, w=145\",\"Add (4,5)=87, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,73],[0,4,59],[2,5,13],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=13 Succeeded, w=13\",\"Add (0,4)=59 Succeeded, w=72\",\"Add (0,3)=73 Succeeded, w=145\",\"Add (4,5)=87 Succeeded, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,73],[0,4,59],[2,5,13],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=13,(0,4)=59,(0,3)=73,(4,5)=87]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=59 Succeeded, w=72\",\"Find(0)=0, Find(3)=3, Add (0,3)=73 Succeeded, w=145\",\"Find(4)=0, Find(5)=2, Add (4,5)=87 Succeeded, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,73],[0,4,59],[2,5,13],[4,5,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=13,(0,4)=59,(0,3)=73,(4,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=59 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=73 Succeeded, w=145\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2}, Find(4)=0, Find(5)=2, Add (4,5)=87 Succeeded, w=232\"],\"Answer\":232}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,93],[0,3,30],[0,4,44],[0,5,23],[1,2,53],[1,3,26],[1,4,90],[1,5,50],[2,4,45],[3,4,8],[3,5,3],[4,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,30],[0,4,44],[0,5,23],[1,2,53],[1,3,26],[1,4,90],[1,5,50],[2,4,45],[3,4,8],[3,5,3],[4,5,80]]}",
"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\":[[0,2,93],[0,3,30],[0,4,44],[0,5,23],[1,2,53],[1,3,26],[1,4,90],[1,5,50],[2,4,45],[3,4,8],[3,5,3],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,30],[0,4,44],[0,5,23],[1,2,53],[1,3,26],[1,4,90],[1,5,50],[2,4,45],[3,4,8],[3,5,3],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (3,4)=8, w=11\",\"Add (0,5)=23, w=34\",\"Add (1,3)=26, w=60\",\"Add (2,4)=45, 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\":[[0,2,93],[0,3,30],[0,4,44],[0,5,23],[1,2,53],[1,3,26],[1,4,90],[1,5,50],[2,4,45],[3,4,8],[3,5,3],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (3,4)=8 Succeeded, w=11\",\"Add (0,5)=23 Succeeded, w=34\",\"Add (1,3)=26 Succeeded, w=60\",\"Add (0,3)=30 Failed, w=60\",\"Add (0,4)=44 Failed, w=60\",\"Add (2,4)=45 Succeeded, w=105\",\"Add (1,5)=50 Failed, w=105\",\"Add (1,2)=53 Failed, w=105\",\"Add (4,5)=80 Failed, w=105\",\"Add (1,4)=90 Failed, w=105\",\"Add (0,2)=93 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,30],[0,4,44],[0,5,23],[1,2,53],[1,3,26],[1,4,90],[1,5,50],[2,4,45],[3,4,8],[3,5,3],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(3,4)=8,(0,5)=23,(1,3)=26,(0,3)=30,(0,4)=44,(2,4)=45,(1,5)=50,(1,2)=53,(4,5)=80,(1,4)=90,(0,2)=93]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=11\",\"Find(0)=0, Find(5)=3, Add (0,5)=23 Succeeded, w=34\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=60\",\"Find(0)=3, Find(3)=3, Add (0,3)=30 Failed, w=60\",\"Find(0)=3, Find(4)=3, Add (0,4)=44 Failed, w=60\",\"Find(2)=2, Find(4)=3, Add (2,4)=45 Succeeded, w=105\",\"Find(1)=3, Find(5)=3, Add (1,5)=50 Failed, w=105\",\"Find(1)=3, Find(2)=3, Add (1,2)=53 Failed, w=105\",\"Find(4)=3, Find(5)=3, Add (4,5)=80 Failed, w=105\",\"Find(1)=3, Find(4)=3, Add (1,4)=90 Failed, w=105\",\"Find(0)=3, Find(2)=3, Add (0,2)=93 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,93],[0,3,30],[0,4,44],[0,5,23],[1,2,53],[1,3,26],[1,4,90],[1,5,50],[2,4,45],[3,4,8],[3,5,3],[4,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(3,4)=8,(0,5)=23,(1,3)=26,(0,3)=30,(0,4)=44,(2,4)=45,(1,5)=50,(1,2)=53,(4,5)=80,(1,4)=90,(0,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=11\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=23 Succeeded, w=34\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=60\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=30 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=44 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(4)=3, Add (2,4)=45 Succeeded, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=50 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(2)=3, Add (1,2)=53 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=80 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=90 Failed, w=105\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=93 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,57],[0,2,29],[0,3,1],[0,5,84],[1,2,78],[1,3,14],[1,4,25],[1,5,30],[2,3,40],[2,4,19],[2,5,16],[3,4,55],[3,5,52],[4,5,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,29],[0,3,1],[0,5,84],[1,2,78],[1,3,14],[1,4,25],[1,5,30],[2,3,40],[2,4,19],[2,5,16],[3,4,55],[3,5,52],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,29],[0,3,1],[0,5,84],[1,2,78],[1,3,14],[1,4,25],[1,5,30],[2,3,40],[2,4,19],[2,5,16],[3,4,55],[3,5,52],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,29],[0,3,1],[0,5,84],[1,2,78],[1,3,14],[1,4,25],[1,5,30],[2,3,40],[2,4,19],[2,5,16],[3,4,55],[3,5,52],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (1,3)=14, w=15\",\"Add (2,5)=16, w=31\",\"Add (2,4)=19, w=50\",\"Add (1,4)=25, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,29],[0,3,1],[0,5,84],[1,2,78],[1,3,14],[1,4,25],[1,5,30],[2,3,40],[2,4,19],[2,5,16],[3,4,55],[3,5,52],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (1,3)=14 Succeeded, w=15\",\"Add (2,5)=16 Succeeded, w=31\",\"Add (2,4)=19 Succeeded, w=50\",\"Add (1,4)=25 Succeeded, w=75\",\"Add (0,2)=29 Failed, w=75\",\"Add (1,5)=30 Failed, w=75\",\"Add (2,3)=40 Failed, w=75\",\"Add (4,5)=45 Failed, w=75\",\"Add (3,5)=52 Failed, w=75\",\"Add (3,4)=55 Failed, w=75\",\"Add (0,1)=57 Failed, w=75\",\"Add (1,2)=78 Failed, w=75\",\"Add (0,5)=84 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,29],[0,3,1],[0,5,84],[1,2,78],[1,3,14],[1,4,25],[1,5,30],[2,3,40],[2,4,19],[2,5,16],[3,4,55],[3,5,52],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=14,(2,5)=16,(2,4)=19,(1,4)=25,(0,2)=29,(1,5)=30,(2,3)=40,(4,5)=45,(3,5)=52,(3,4)=55,(0,1)=57,(1,2)=78,(0,5)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=15\",\"Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=31\",\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=50\",\"Find(1)=0, Find(4)=2, Add (1,4)=25 Succeeded, w=75\",\"Find(0)=0, Find(2)=0, Add (0,2)=29 Failed, w=75\",\"Find(1)=0, Find(5)=0, Add (1,5)=30 Failed, w=75\",\"Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=75\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=75\",\"Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=75\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=75\",\"Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=75\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=75\",\"Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,57],[0,2,29],[0,3,1],[0,5,84],[1,2,78],[1,3,14],[1,4,25],[1,5,30],[2,3,40],[2,4,19],[2,5,16],[3,4,55],[3,5,52],[4,5,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=14,(2,5)=16,(2,4)=19,(1,4)=25,(0,2)=29,(1,5)=30,(2,3)=40,(4,5)=45,(3,5)=52,(3,4)=55,(0,1)=57,(1,2)=78,(0,5)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(1)=0, Find(4)=2, Add (1,4)=25 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(2)=0, Add (0,2)=29 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=30 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=40 Failed, w=75\",\"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=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=57 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=84 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,28],[0,2,83],[0,3,39],[0,4,88],[0,5,2],[0,6,7],[1,2,62],[1,4,75],[1,5,34],[1,6,28],[2,3,88],[2,4,56],[2,5,16],[2,6,21],[3,4,51],[3,5,56],[3,6,21],[4,5,7],[4,6,58],[5,6,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,83],[0,3,39],[0,4,88],[0,5,2],[0,6,7],[1,2,62],[1,4,75],[1,5,34],[1,6,28],[2,3,88],[2,4,56],[2,5,16],[2,6,21],[3,4,51],[3,5,56],[3,6,21],[4,5,7],[4,6,58],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,83],[0,3,39],[0,4,88],[0,5,2],[0,6,7],[1,2,62],[1,4,75],[1,5,34],[1,6,28],[2,3,88],[2,4,56],[2,5,16],[2,6,21],[3,4,51],[3,5,56],[3,6,21],[4,5,7],[4,6,58],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (0,1)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,83],[0,3,39],[0,4,88],[0,5,2],[0,6,7],[1,2,62],[1,4,75],[1,5,34],[1,6,28],[2,3,88],[2,4,56],[2,5,16],[2,6,21],[3,4,51],[3,5,56],[3,6,21],[4,5,7],[4,6,58],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (0,6)=7, w=9\",\"Add (4,5)=7, w=16\",\"Add (2,5)=16, w=32\",\"Add (3,6)=21, w=53\",\"Add (0,1)=28, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,83],[0,3,39],[0,4,88],[0,5,2],[0,6,7],[1,2,62],[1,4,75],[1,5,34],[1,6,28],[2,3,88],[2,4,56],[2,5,16],[2,6,21],[3,4,51],[3,5,56],[3,6,21],[4,5,7],[4,6,58],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (0,6)=7 Succeeded, w=9\",\"Add (4,5)=7 Succeeded, w=16\",\"Add (2,5)=16 Succeeded, w=32\",\"Add (2,6)=21 Failed, w=32\",\"Add (3,6)=21 Succeeded, w=53\",\"Add (0,1)=28 Succeeded, w=81\",\"Add (1,6)=28 Failed, w=81\",\"Add (1,5)=34 Failed, w=81\",\"Add (0,3)=39 Failed, w=81\",\"Add (3,4)=51 Failed, w=81\",\"Add (2,4)=56 Failed, w=81\",\"Add (3,5)=56 Failed, w=81\",\"Add (4,6)=58 Failed, w=81\",\"Add (1,2)=62 Failed, w=81\",\"Add (5,6)=64 Failed, w=81\",\"Add (1,4)=75 Failed, w=81\",\"Add (0,2)=83 Failed, w=81\",\"Add (0,4)=88 Failed, w=81\",\"Add (2,3)=88 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,83],[0,3,39],[0,4,88],[0,5,2],[0,6,7],[1,2,62],[1,4,75],[1,5,34],[1,6,28],[2,3,88],[2,4,56],[2,5,16],[2,6,21],[3,4,51],[3,5,56],[3,6,21],[4,5,7],[4,6,58],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,6)=7,(4,5)=7,(2,5)=16,(2,6)=21,(3,6)=21,(0,1)=28,(1,6)=28,(1,5)=34,(0,3)=39,(3,4)=51,(2,4)=56,(3,5)=56,(4,6)=58,(1,2)=62,(5,6)=64,(1,4)=75,(0,2)=83,(0,4)=88,(2,3)=88]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=9\",\"Find(4)=4, Find(5)=0, Add (4,5)=7 Succeeded, w=16\",\"Find(2)=2, Find(5)=0, Add (2,5)=16 Succeeded, w=32\",\"Find(2)=0, Find(6)=0, Add (2,6)=21 Failed, w=32\",\"Find(3)=3, Find(6)=0, Add (3,6)=21 Succeeded, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=81\",\"Find(1)=0, Find(6)=0, Add (1,6)=28 Failed, w=81\",\"Find(1)=0, Find(5)=0, Add (1,5)=34 Failed, w=81\",\"Find(0)=0, Find(3)=0, Add (0,3)=39 Failed, w=81\",\"Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=81\",\"Find(2)=0, Find(4)=0, Add (2,4)=56 Failed, w=81\",\"Find(3)=0, Find(5)=0, Add (3,5)=56 Failed, w=81\",\"Find(4)=0, Find(6)=0, Add (4,6)=58 Failed, w=81\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=81\",\"Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=81\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=81\",\"Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=81\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=81\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,28],[0,2,83],[0,3,39],[0,4,88],[0,5,2],[0,6,7],[1,2,62],[1,4,75],[1,5,34],[1,6,28],[2,3,88],[2,4,56],[2,5,16],[2,6,21],[3,4,51],[3,5,56],[3,6,21],[4,5,7],[4,6,58],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,6)=7,(4,5)=7,(2,5)=16,(2,6)=21,(3,6)=21,(0,1)=28,(1,6)=28,(1,5)=34,(0,3)=39,(3,4)=51,(2,4)=56,(3,5)=56,(4,6)=58,(1,2)=62,(5,6)=64,(1,4)=75,(0,2)=83,(0,4)=88,(2,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(5)=0, Add (4,5)=7 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(5)=0, Add (2,5)=16 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=21 Failed, w=32\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=21 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=28 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=34 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=39 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=51 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=56 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=56 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=58 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=83 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,22],[0,4,23],[1,3,84],[1,4,88],[2,4,36],[3,4,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,4,23],[1,3,84],[1,4,88],[2,4,36],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,4,23],[1,3,84],[1,4,88],[2,4,36],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,4,23],[1,3,84],[1,4,88],[2,4,36],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22, w=22\",\"Add (0,4)=23, w=45\",\"Add (3,4)=26, w=71\",\"Add (1,3)=84, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,4,23],[1,3,84],[1,4,88],[2,4,36],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22 Succeeded, w=22\",\"Add (0,4)=23 Succeeded, w=45\",\"Add (3,4)=26 Succeeded, w=71\",\"Add (2,4)=36 Failed, w=71\",\"Add (1,3)=84 Succeeded, w=155\",\"Add (1,4)=88 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,4,23],[1,3,84],[1,4,88],[2,4,36],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(0,4)=23,(3,4)=26,(2,4)=36,(1,3)=84,(1,4)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=22\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=45\",\"Find(3)=3, Find(4)=0, Add (3,4)=26 Succeeded, w=71\",\"Find(2)=0, Find(4)=0, Add (2,4)=36 Failed, w=71\",\"Find(1)=1, Find(3)=0, Add (1,3)=84 Succeeded, w=155\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,22],[0,4,23],[1,3,84],[1,4,88],[2,4,36],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(0,4)=23,(3,4)=26,(2,4)=36,(1,3)=84,(1,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=26 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=36 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(3)=0, Add (1,3)=84 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,77],[0,3,12],[0,4,16],[0,5,49],[0,6,26],[0,7,92],[1,2,15],[1,3,88],[1,4,20],[1,6,70],[2,3,17],[2,4,4],[2,5,44],[2,6,51],[2,7,40],[3,4,2],[3,5,72],[3,6,5],[3,7,48],[4,5,57],[4,6,59],[4,7,89],[6,7,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,3,12],[0,4,16],[0,5,49],[0,6,26],[0,7,92],[1,2,15],[1,3,88],[1,4,20],[1,6,70],[2,3,17],[2,4,4],[2,5,44],[2,6,51],[2,7,40],[3,4,2],[3,5,72],[3,6,5],[3,7,48],[4,5,57],[4,6,59],[4,7,89],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,3,12],[0,4,16],[0,5,49],[0,6,26],[0,7,92],[1,2,15],[1,3,88],[1,4,20],[1,6,70],[2,3,17],[2,4,4],[2,5,44],[2,6,51],[2,7,40],[3,4,2],[3,5,72],[3,6,5],[3,7,48],[4,5,57],[4,6,59],[4,7,89],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (6,7)\",\"Add (2,5)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,3,12],[0,4,16],[0,5,49],[0,6,26],[0,7,92],[1,2,15],[1,3,88],[1,4,20],[1,6,70],[2,3,17],[2,4,4],[2,5,44],[2,6,51],[2,7,40],[3,4,2],[3,5,72],[3,6,5],[3,7,48],[4,5,57],[4,6,59],[4,7,89],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (2,4)=4, w=6\",\"Add (3,6)=5, w=11\",\"Add (0,3)=12, w=23\",\"Add (1,2)=15, w=38\",\"Add (6,7)=19, w=57\",\"Add (2,5)=44, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,3,12],[0,4,16],[0,5,49],[0,6,26],[0,7,92],[1,2,15],[1,3,88],[1,4,20],[1,6,70],[2,3,17],[2,4,4],[2,5,44],[2,6,51],[2,7,40],[3,4,2],[3,5,72],[3,6,5],[3,7,48],[4,5,57],[4,6,59],[4,7,89],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (2,4)=4 Succeeded, w=6\",\"Add (3,6)=5 Succeeded, w=11\",\"Add (0,3)=12 Succeeded, w=23\",\"Add (1,2)=15 Succeeded, w=38\",\"Add (0,4)=16 Failed, w=38\",\"Add (2,3)=17 Failed, w=38\",\"Add (6,7)=19 Succeeded, w=57\",\"Add (1,4)=20 Failed, w=57\",\"Add (0,6)=26 Failed, w=57\",\"Add (2,7)=40 Failed, w=57\",\"Add (2,5)=44 Succeeded, w=101\",\"Add (3,7)=48 Failed, w=101\",\"Add (0,5)=49 Failed, w=101\",\"Add (2,6)=51 Failed, w=101\",\"Add (4,5)=57 Failed, w=101\",\"Add (4,6)=59 Failed, w=101\",\"Add (1,6)=70 Failed, w=101\",\"Add (3,5)=72 Failed, w=101\",\"Add (0,1)=77 Failed, w=101\",\"Add (1,3)=88 Failed, w=101\",\"Add (4,7)=89 Failed, w=101\",\"Add (0,7)=92 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,3,12],[0,4,16],[0,5,49],[0,6,26],[0,7,92],[1,2,15],[1,3,88],[1,4,20],[1,6,70],[2,3,17],[2,4,4],[2,5,44],[2,6,51],[2,7,40],[3,4,2],[3,5,72],[3,6,5],[3,7,48],[4,5,57],[4,6,59],[4,7,89],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(2,4)=4,(3,6)=5,(0,3)=12,(1,2)=15,(0,4)=16,(2,3)=17,(6,7)=19,(1,4)=20,(0,6)=26,(2,7)=40,(2,5)=44,(3,7)=48,(0,5)=49,(2,6)=51,(4,5)=57,(4,6)=59,(1,6)=70,(3,5)=72,(0,1)=77,(1,3)=88,(4,7)=89,(0,7)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(2)=2, Find(4)=3, Add (2,4)=4 Succeeded, w=6\",\"Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=23\",\"Find(1)=1, Find(2)=3, Add (1,2)=15 Succeeded, w=38\",\"Find(0)=3, Find(4)=3, Add (0,4)=16 Failed, w=38\",\"Find(2)=3, Find(3)=3, Add (2,3)=17 Failed, w=38\",\"Find(6)=3, Find(7)=7, Add (6,7)=19 Succeeded, w=57\",\"Find(1)=3, Find(4)=3, Add (1,4)=20 Failed, w=57\",\"Find(0)=3, Find(6)=3, Add (0,6)=26 Failed, w=57\",\"Find(2)=3, Find(7)=3, Add (2,7)=40 Failed, w=57\",\"Find(2)=3, Find(5)=5, Add (2,5)=44 Succeeded, w=101\",\"Find(3)=3, Find(7)=3, Add (3,7)=48 Failed, w=101\",\"Find(0)=3, Find(5)=3, Add (0,5)=49 Failed, w=101\",\"Find(2)=3, Find(6)=3, Add (2,6)=51 Failed, w=101\",\"Find(4)=3, Find(5)=3, Add (4,5)=57 Failed, w=101\",\"Find(4)=3, Find(6)=3, Add (4,6)=59 Failed, w=101\",\"Find(1)=3, Find(6)=3, Add (1,6)=70 Failed, w=101\",\"Find(3)=3, Find(5)=3, Add (3,5)=72 Failed, w=101\",\"Find(0)=3, Find(1)=3, Add (0,1)=77 Failed, w=101\",\"Find(1)=3, Find(3)=3, Add (1,3)=88 Failed, w=101\",\"Find(4)=3, Find(7)=3, Add (4,7)=89 Failed, w=101\",\"Find(0)=3, Find(7)=3, Add (0,7)=92 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,3,12],[0,4,16],[0,5,49],[0,6,26],[0,7,92],[1,2,15],[1,3,88],[1,4,20],[1,6,70],[2,3,17],[2,4,4],[2,5,44],[2,6,51],[2,7,40],[3,4,2],[3,5,72],[3,6,5],[3,7,48],[4,5,57],[4,6,59],[4,7,89],[6,7,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(2,4)=4,(3,6)=5,(0,3)=12,(1,2)=15,(0,4)=16,(2,3)=17,(6,7)=19,(1,4)=20,(0,6)=26,(2,7)=40,(2,5)=44,(3,7)=48,(0,5)=49,(2,6)=51,(4,5)=57,(4,6)=59,(1,6)=70,(3,5)=72,(0,1)=77,(1,3)=88,(4,7)=89,(0,7)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=3, Add (2,4)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=11\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=23\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(1)=1, Find(2)=3, Add (1,2)=15 Succeeded, w=38\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(0)=3, Find(4)=3, Add (0,4)=16 Failed, w=38\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 7}, Find(2)=3, Find(3)=3, Add (2,3)=17 Failed, w=38\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(6)=3, Find(7)=7, Add (6,7)=19 Succeeded, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=20 Failed, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=26 Failed, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=40 Failed, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=5, Add (2,5)=44 Succeeded, w=101\",\"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)=48 Failed, w=101\",\"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)=49 Failed, w=101\",\"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)=51 Failed, w=101\",\"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)=57 Failed, w=101\",\"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)=59 Failed, w=101\",\"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)=70 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=72 Failed, w=101\",\"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)=77 Failed, w=101\",\"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)=88 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=89 Failed, w=101\",\"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)=92 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,5],[0,2,67],[1,2,68],[1,3,99],[1,4,76],[2,5,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,67],[1,2,68],[1,3,99],[1,4,76],[2,5,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":288}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,67],[1,2,68],[1,3,99],[1,4,76],[2,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":288}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,67],[1,2,68],[1,3,99],[1,4,76],[2,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (2,5)=41, w=46\",\"Add (0,2)=67, w=113\",\"Add (1,4)=76, w=189\",\"Add (1,3)=99, w=288\"],\"Answer\":288}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,67],[1,2,68],[1,3,99],[1,4,76],[2,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (2,5)=41 Succeeded, w=46\",\"Add (0,2)=67 Succeeded, w=113\",\"Add (1,2)=68 Failed, w=113\",\"Add (1,4)=76 Succeeded, w=189\",\"Add (1,3)=99 Succeeded, w=288\"],\"Answer\":288}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,67],[1,2,68],[1,3,99],[1,4,76],[2,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(2,5)=41,(0,2)=67,(1,2)=68,(1,4)=76,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(2)=2, Find(5)=5, Add (2,5)=41 Succeeded, w=46\",\"Find(0)=0, Find(2)=2, Add (0,2)=67 Succeeded, w=113\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=113\",\"Find(1)=0, Find(4)=4, Add (1,4)=76 Succeeded, w=189\",\"Find(1)=0, Find(3)=3, Add (1,3)=99 Succeeded, w=288\"],\"Answer\":288}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,67],[1,2,68],[1,3,99],[1,4,76],[2,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(2,5)=41,(0,2)=67,(1,2)=68,(1,4)=76,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=41 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=67 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2}, Find(1)=0, Find(4)=4, Add (1,4)=76 Succeeded, w=189\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(3)=3, Add (1,3)=99 Succeeded, w=288\"],\"Answer\":288}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,90],[0,4,35],[0,5,57],[1,2,74],[1,3,55],[1,4,97],[1,5,50],[2,4,56],[2,5,100],[3,6,54],[4,5,0],[4,6,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,90],[0,4,35],[0,5,57],[1,2,74],[1,3,55],[1,4,97],[1,5,50],[2,4,56],[2,5,100],[3,6,54],[4,5,0],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":250}",
"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],[0,4,35],[0,5,57],[1,2,74],[1,3,55],[1,4,97],[1,5,50],[2,4,56],[2,5,100],[3,6,54],[4,5,0],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":250}",
"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],[0,4,35],[0,5,57],[1,2,74],[1,3,55],[1,4,97],[1,5,50],[2,4,56],[2,5,100],[3,6,54],[4,5,0],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (0,4)=35, w=35\",\"Add (1,5)=50, w=85\",\"Add (3,6)=54, w=139\",\"Add (1,3)=55, w=194\",\"Add (2,4)=56, w=250\"],\"Answer\":250}",
"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],[0,4,35],[0,5,57],[1,2,74],[1,3,55],[1,4,97],[1,5,50],[2,4,56],[2,5,100],[3,6,54],[4,5,0],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (0,4)=35 Succeeded, w=35\",\"Add (1,5)=50 Succeeded, w=85\",\"Add (3,6)=54 Succeeded, w=139\",\"Add (1,3)=55 Succeeded, w=194\",\"Add (2,4)=56 Succeeded, w=250\",\"Add (0,5)=57 Failed, w=250\",\"Add (1,2)=74 Failed, w=250\",\"Add (4,6)=84 Failed, w=250\",\"Add (0,3)=90 Failed, w=250\",\"Add (1,4)=97 Failed, w=250\",\"Add (2,5)=100 Failed, w=250\"],\"Answer\":250}",
"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],[0,4,35],[0,5,57],[1,2,74],[1,3,55],[1,4,97],[1,5,50],[2,4,56],[2,5,100],[3,6,54],[4,5,0],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,4)=35,(1,5)=50,(3,6)=54,(1,3)=55,(2,4)=56,(0,5)=57,(1,2)=74,(4,6)=84,(0,3)=90,(1,4)=97,(2,5)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=35\",\"Find(1)=1, Find(5)=4, Add (1,5)=50 Succeeded, w=85\",\"Find(3)=3, Find(6)=6, Add (3,6)=54 Succeeded, w=139\",\"Find(1)=4, Find(3)=3, Add (1,3)=55 Succeeded, w=194\",\"Find(2)=2, Find(4)=4, Add (2,4)=56 Succeeded, w=250\",\"Find(0)=4, Find(5)=4, Add (0,5)=57 Failed, w=250\",\"Find(1)=4, Find(2)=4, Add (1,2)=74 Failed, w=250\",\"Find(4)=4, Find(6)=4, Add (4,6)=84 Failed, w=250\",\"Find(0)=4, Find(3)=4, Add (0,3)=90 Failed, w=250\",\"Find(1)=4, Find(4)=4, Add (1,4)=97 Failed, w=250\",\"Find(2)=4, Find(5)=4, Add (2,5)=100 Failed, w=250\"],\"Answer\":250}",
"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],[0,4,35],[0,5,57],[1,2,74],[1,3,55],[1,4,97],[1,5,50],[2,4,56],[2,5,100],[3,6,54],[4,5,0],[4,6,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(0,4)=35,(1,5)=50,(3,6)=54,(1,3)=55,(2,4)=56,(0,5)=57,(1,2)=74,(4,6)=84,(0,3)=90,(1,4)=97,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=35\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(5)=4, Add (1,5)=50 Succeeded, w=85\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=54 Succeeded, w=139\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 3}, Find(1)=4, Find(3)=3, Add (1,3)=55 Succeeded, w=194\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3}, Find(2)=2, Find(4)=4, Add (2,4)=56 Succeeded, w=250\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3}, Find(0)=4, Find(5)=4, Add (0,5)=57 Failed, w=250\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3}, Find(1)=4, Find(2)=4, Add (1,2)=74 Failed, w=250\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=84 Failed, w=250\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=90 Failed, w=250\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=97 Failed, w=250\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=100 Failed, w=250\"],\"Answer\":250}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,100],[0,2,27],[0,3,47],[0,4,24],[0,5,98],[0,6,78],[1,2,72],[1,3,99],[1,4,4],[1,5,72],[1,6,82],[2,3,49],[2,4,28],[2,5,72],[2,6,33],[3,4,59],[3,5,52],[3,6,42],[4,5,74],[4,6,94],[5,6,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,27],[0,3,47],[0,4,24],[0,5,98],[0,6,78],[1,2,72],[1,3,99],[1,4,4],[1,5,72],[1,6,82],[2,3,49],[2,4,28],[2,5,72],[2,6,33],[3,4,59],[3,5,52],[3,6,42],[4,5,74],[4,6,94],[5,6,80]]}",
"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\":[[0,1,100],[0,2,27],[0,3,47],[0,4,24],[0,5,98],[0,6,78],[1,2,72],[1,3,99],[1,4,4],[1,5,72],[1,6,82],[2,3,49],[2,4,28],[2,5,72],[2,6,33],[3,4,59],[3,5,52],[3,6,42],[4,5,74],[4,6,94],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (3,5)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,100],[0,2,27],[0,3,47],[0,4,24],[0,5,98],[0,6,78],[1,2,72],[1,3,99],[1,4,4],[1,5,72],[1,6,82],[2,3,49],[2,4,28],[2,5,72],[2,6,33],[3,4,59],[3,5,52],[3,6,42],[4,5,74],[4,6,94],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (0,4)=24, w=28\",\"Add (0,2)=27, w=55\",\"Add (2,6)=33, w=88\",\"Add (3,6)=42, w=130\",\"Add (3,5)=52, 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\":[[0,1,100],[0,2,27],[0,3,47],[0,4,24],[0,5,98],[0,6,78],[1,2,72],[1,3,99],[1,4,4],[1,5,72],[1,6,82],[2,3,49],[2,4,28],[2,5,72],[2,6,33],[3,4,59],[3,5,52],[3,6,42],[4,5,74],[4,6,94],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (0,4)=24 Succeeded, w=28\",\"Add (0,2)=27 Succeeded, w=55\",\"Add (2,4)=28 Failed, w=55\",\"Add (2,6)=33 Succeeded, w=88\",\"Add (3,6)=42 Succeeded, w=130\",\"Add (0,3)=47 Failed, w=130\",\"Add (2,3)=49 Failed, w=130\",\"Add (3,5)=52 Succeeded, w=182\",\"Add (3,4)=59 Failed, w=182\",\"Add (1,2)=72 Failed, w=182\",\"Add (1,5)=72 Failed, w=182\",\"Add (2,5)=72 Failed, w=182\",\"Add (4,5)=74 Failed, w=182\",\"Add (0,6)=78 Failed, w=182\",\"Add (5,6)=80 Failed, w=182\",\"Add (1,6)=82 Failed, w=182\",\"Add (4,6)=94 Failed, w=182\",\"Add (0,5)=98 Failed, w=182\",\"Add (1,3)=99 Failed, w=182\",\"Add (0,1)=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\":[[0,1,100],[0,2,27],[0,3,47],[0,4,24],[0,5,98],[0,6,78],[1,2,72],[1,3,99],[1,4,4],[1,5,72],[1,6,82],[2,3,49],[2,4,28],[2,5,72],[2,6,33],[3,4,59],[3,5,52],[3,6,42],[4,5,74],[4,6,94],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,4)=24,(0,2)=27,(2,4)=28,(2,6)=33,(3,6)=42,(0,3)=47,(2,3)=49,(3,5)=52,(3,4)=59,(1,2)=72,(1,5)=72,(2,5)=72,(4,5)=74,(0,6)=78,(5,6)=80,(1,6)=82,(4,6)=94,(0,5)=98,(1,3)=99,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=28\",\"Find(0)=1, Find(2)=2, Add (0,2)=27 Succeeded, w=55\",\"Find(2)=1, Find(4)=1, Add (2,4)=28 Failed, w=55\",\"Find(2)=1, Find(6)=6, Add (2,6)=33 Succeeded, w=88\",\"Find(3)=3, Find(6)=1, Add (3,6)=42 Succeeded, w=130\",\"Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=130\",\"Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=130\",\"Find(3)=1, Find(5)=5, Add (3,5)=52 Succeeded, w=182\",\"Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=182\",\"Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=182\",\"Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=182\",\"Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=182\",\"Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=182\",\"Find(0)=1, Find(6)=1, Add (0,6)=78 Failed, w=182\",\"Find(5)=1, Find(6)=1, Add (5,6)=80 Failed, w=182\",\"Find(1)=1, Find(6)=1, Add (1,6)=82 Failed, w=182\",\"Find(4)=1, Find(6)=1, Add (4,6)=94 Failed, w=182\",\"Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=182\",\"Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=182\",\"Find(0)=1, Find(1)=1, Add (0,1)=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\":[[0,1,100],[0,2,27],[0,3,47],[0,4,24],[0,5,98],[0,6,78],[1,2,72],[1,3,99],[1,4,4],[1,5,72],[1,6,82],[2,3,49],[2,4,28],[2,5,72],[2,6,33],[3,4,59],[3,5,52],[3,6,42],[4,5,74],[4,6,94],[5,6,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,4)=24,(0,2)=27,(2,4)=28,(2,6)=33,(3,6)=42,(0,3)=47,(2,3)=49,(3,5)=52,(3,4)=59,(1,2)=72,(1,5)=72,(2,5)=72,(4,5)=74,(0,6)=78,(5,6)=80,(1,6)=82,(4,6)=94,(0,5)=98,(1,3)=99,(0,1)=100]\",\"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)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(4)=1, Add (0,4)=24 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(0)=1, Find(2)=2, Add (0,2)=27 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(2)=1, Find(4)=1, Add (2,4)=28 Failed, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=33 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=42 Succeeded, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=52 Succeeded, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=59 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=72 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=72 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=78 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=80 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=82 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=94 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=99 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,55],[0,2,3],[0,4,50],[0,5,94],[0,6,19],[0,7,46],[1,2,31],[1,3,19],[1,4,49],[1,5,42],[1,6,56],[1,7,8],[2,3,41],[2,4,67],[2,5,3],[2,6,73],[2,7,82],[3,4,40],[3,5,22],[3,6,40],[3,7,22],[4,5,19],[4,6,60],[4,7,25],[5,6,63],[5,7,88],[6,7,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,3],[0,4,50],[0,5,94],[0,6,19],[0,7,46],[1,2,31],[1,3,19],[1,4,49],[1,5,42],[1,6,56],[1,7,8],[2,3,41],[2,4,67],[2,5,3],[2,6,73],[2,7,82],[3,4,40],[3,5,22],[3,6,40],[3,7,22],[4,5,19],[4,6,60],[4,7,25],[5,6,63],[5,7,88],[6,7,33]]}",
"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\":[[0,1,55],[0,2,3],[0,4,50],[0,5,94],[0,6,19],[0,7,46],[1,2,31],[1,3,19],[1,4,49],[1,5,42],[1,6,56],[1,7,8],[2,3,41],[2,4,67],[2,5,3],[2,6,73],[2,7,82],[3,4,40],[3,5,22],[3,6,40],[3,7,22],[4,5,19],[4,6,60],[4,7,25],[5,6,63],[5,7,88],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (1,7)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (4,5)\",\"Add (3,5)\"],\"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\":[[0,1,55],[0,2,3],[0,4,50],[0,5,94],[0,6,19],[0,7,46],[1,2,31],[1,3,19],[1,4,49],[1,5,42],[1,6,56],[1,7,8],[2,3,41],[2,4,67],[2,5,3],[2,6,73],[2,7,82],[3,4,40],[3,5,22],[3,6,40],[3,7,22],[4,5,19],[4,6,60],[4,7,25],[5,6,63],[5,7,88],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (2,5)=3, w=6\",\"Add (1,7)=8, w=14\",\"Add (0,6)=19, w=33\",\"Add (1,3)=19, w=52\",\"Add (4,5)=19, w=71\",\"Add (3,5)=22, 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\":[[0,1,55],[0,2,3],[0,4,50],[0,5,94],[0,6,19],[0,7,46],[1,2,31],[1,3,19],[1,4,49],[1,5,42],[1,6,56],[1,7,8],[2,3,41],[2,4,67],[2,5,3],[2,6,73],[2,7,82],[3,4,40],[3,5,22],[3,6,40],[3,7,22],[4,5,19],[4,6,60],[4,7,25],[5,6,63],[5,7,88],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (2,5)=3 Succeeded, w=6\",\"Add (1,7)=8 Succeeded, w=14\",\"Add (0,6)=19 Succeeded, w=33\",\"Add (1,3)=19 Succeeded, w=52\",\"Add (4,5)=19 Succeeded, w=71\",\"Add (3,5)=22 Succeeded, w=93\",\"Add (3,7)=22 Failed, w=93\",\"Add (4,7)=25 Failed, w=93\",\"Add (1,2)=31 Failed, w=93\",\"Add (6,7)=33 Failed, w=93\",\"Add (3,4)=40 Failed, w=93\",\"Add (3,6)=40 Failed, w=93\",\"Add (2,3)=41 Failed, w=93\",\"Add (1,5)=42 Failed, w=93\",\"Add (0,7)=46 Failed, w=93\",\"Add (1,4)=49 Failed, w=93\",\"Add (0,4)=50 Failed, w=93\",\"Add (0,1)=55 Failed, w=93\",\"Add (1,6)=56 Failed, w=93\",\"Add (4,6)=60 Failed, w=93\",\"Add (5,6)=63 Failed, w=93\",\"Add (2,4)=67 Failed, w=93\",\"Add (2,6)=73 Failed, w=93\",\"Add (2,7)=82 Failed, w=93\",\"Add (5,7)=88 Failed, w=93\",\"Add (0,5)=94 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,3],[0,4,50],[0,5,94],[0,6,19],[0,7,46],[1,2,31],[1,3,19],[1,4,49],[1,5,42],[1,6,56],[1,7,8],[2,3,41],[2,4,67],[2,5,3],[2,6,73],[2,7,82],[3,4,40],[3,5,22],[3,6,40],[3,7,22],[4,5,19],[4,6,60],[4,7,25],[5,6,63],[5,7,88],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,5)=3,(1,7)=8,(0,6)=19,(1,3)=19,(4,5)=19,(3,5)=22,(3,7)=22,(4,7)=25,(1,2)=31,(6,7)=33,(3,4)=40,(3,6)=40,(2,3)=41,(1,5)=42,(0,7)=46,(1,4)=49,(0,4)=50,(0,1)=55,(1,6)=56,(4,6)=60,(5,6)=63,(2,4)=67,(2,6)=73,(2,7)=82,(5,7)=88,(0,5)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(2)=0, Find(5)=5, Add (2,5)=3 Succeeded, w=6\",\"Find(1)=1, Find(7)=7, Add (1,7)=8 Succeeded, w=14\",\"Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=33\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=52\",\"Find(4)=4, Find(5)=0, Add (4,5)=19 Succeeded, w=71\",\"Find(3)=1, Find(5)=0, Add (3,5)=22 Succeeded, w=93\",\"Find(3)=1, Find(7)=1, Add (3,7)=22 Failed, w=93\",\"Find(4)=1, Find(7)=1, Add (4,7)=25 Failed, w=93\",\"Find(1)=1, Find(2)=1, Add (1,2)=31 Failed, w=93\",\"Find(6)=1, Find(7)=1, Add (6,7)=33 Failed, w=93\",\"Find(3)=1, Find(4)=1, Add (3,4)=40 Failed, w=93\",\"Find(3)=1, Find(6)=1, Add (3,6)=40 Failed, w=93\",\"Find(2)=1, Find(3)=1, Add (2,3)=41 Failed, w=93\",\"Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=93\",\"Find(0)=1, Find(7)=1, Add (0,7)=46 Failed, w=93\",\"Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=93\",\"Find(0)=1, Find(4)=1, Add (0,4)=50 Failed, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=55 Failed, w=93\",\"Find(1)=1, Find(6)=1, Add (1,6)=56 Failed, w=93\",\"Find(4)=1, Find(6)=1, Add (4,6)=60 Failed, w=93\",\"Find(5)=1, Find(6)=1, Add (5,6)=63 Failed, w=93\",\"Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=93\",\"Find(2)=1, Find(6)=1, Add (2,6)=73 Failed, w=93\",\"Find(2)=1, Find(7)=1, Add (2,7)=82 Failed, w=93\",\"Find(5)=1, Find(7)=1, Add (5,7)=88 Failed, w=93\",\"Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,3],[0,4,50],[0,5,94],[0,6,19],[0,7,46],[1,2,31],[1,3,19],[1,4,49],[1,5,42],[1,6,56],[1,7,8],[2,3,41],[2,4,67],[2,5,3],[2,6,73],[2,7,82],[3,4,40],[3,5,22],[3,6,40],[3,7,22],[4,5,19],[4,6,60],[4,7,25],[5,6,63],[5,7,88],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,5)=3,(1,7)=8,(0,6)=19,(1,3)=19,(4,5)=19,(3,5)=22,(3,7)=22,(4,7)=25,(1,2)=31,(6,7)=33,(3,4)=40,(3,6)=40,(2,3)=41,(1,5)=42,(0,7)=46,(1,4)=49,(0,4)=50,(0,1)=55,(1,6)=56,(4,6)=60,(5,6)=63,(2,4)=67,(2,6)=73,(2,7)=82,(5,7)=88,(0,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 1}, Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 0, 6: 0, 7: 1}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 1}, Find(4)=4, Find(5)=0, Add (4,5)=19 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 1}, Find(3)=1, Find(5)=0, Add (3,5)=22 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=22 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 0, 6: 0, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=25 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=31 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=33 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=40 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=40 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=41 Failed, w=93\",\"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)=42 Failed, w=93\",\"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)=46 Failed, w=93\",\"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)=49 Failed, w=93\",\"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)=50 Failed, w=93\",\"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)=55 Failed, w=93\",\"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=93\",\"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)=60 Failed, w=93\",\"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)=63 Failed, w=93\",\"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)=67 Failed, w=93\",\"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)=73 Failed, w=93\",\"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)=82 Failed, w=93\",\"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)=88 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,15],[0,2,19],[0,5,2],[0,6,97],[0,7,15],[1,2,37],[1,3,24],[1,4,37],[1,5,76],[1,6,46],[1,7,34],[2,3,19],[2,4,41],[3,4,82],[3,5,77],[4,5,61],[4,6,78],[4,7,69],[5,6,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,19],[0,5,2],[0,6,97],[0,7,15],[1,2,37],[1,3,24],[1,4,37],[1,5,76],[1,6,46],[1,7,34],[2,3,19],[2,4,41],[3,4,82],[3,5,77],[4,5,61],[4,6,78],[4,7,69],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,19],[0,5,2],[0,6,97],[0,7,15],[1,2,37],[1,3,24],[1,4,37],[1,5,76],[1,6,46],[1,7,34],[2,3,19],[2,4,41],[3,4,82],[3,5,77],[4,5,61],[4,6,78],[4,7,69],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,1)\",\"Add (0,7)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (1,4)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,19],[0,5,2],[0,6,97],[0,7,15],[1,2,37],[1,3,24],[1,4,37],[1,5,76],[1,6,46],[1,7,34],[2,3,19],[2,4,41],[3,4,82],[3,5,77],[4,5,61],[4,6,78],[4,7,69],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (0,1)=15, w=17\",\"Add (0,7)=15, w=32\",\"Add (0,2)=19, w=51\",\"Add (2,3)=19, w=70\",\"Add (5,6)=35, w=105\",\"Add (1,4)=37, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,19],[0,5,2],[0,6,97],[0,7,15],[1,2,37],[1,3,24],[1,4,37],[1,5,76],[1,6,46],[1,7,34],[2,3,19],[2,4,41],[3,4,82],[3,5,77],[4,5,61],[4,6,78],[4,7,69],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (0,1)=15 Succeeded, w=17\",\"Add (0,7)=15 Succeeded, w=32\",\"Add (0,2)=19 Succeeded, w=51\",\"Add (2,3)=19 Succeeded, w=70\",\"Add (1,3)=24 Failed, w=70\",\"Add (1,7)=34 Failed, w=70\",\"Add (5,6)=35 Succeeded, w=105\",\"Add (1,2)=37 Failed, w=105\",\"Add (1,4)=37 Succeeded, w=142\",\"Add (2,4)=41 Failed, w=142\",\"Add (1,6)=46 Failed, w=142\",\"Add (4,5)=61 Failed, w=142\",\"Add (4,7)=69 Failed, w=142\",\"Add (1,5)=76 Failed, w=142\",\"Add (3,5)=77 Failed, w=142\",\"Add (4,6)=78 Failed, w=142\",\"Add (3,4)=82 Failed, w=142\",\"Add (0,6)=97 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,19],[0,5,2],[0,6,97],[0,7,15],[1,2,37],[1,3,24],[1,4,37],[1,5,76],[1,6,46],[1,7,34],[2,3,19],[2,4,41],[3,4,82],[3,5,77],[4,5,61],[4,6,78],[4,7,69],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,1)=15,(0,7)=15,(0,2)=19,(2,3)=19,(1,3)=24,(1,7)=34,(5,6)=35,(1,2)=37,(1,4)=37,(2,4)=41,(1,6)=46,(4,5)=61,(4,7)=69,(1,5)=76,(3,5)=77,(4,6)=78,(3,4)=82,(0,6)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=17\",\"Find(0)=0, Find(7)=7, Add (0,7)=15 Succeeded, w=32\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=51\",\"Find(2)=0, Find(3)=3, Add (2,3)=19 Succeeded, w=70\",\"Find(1)=0, Find(3)=0, Add (1,3)=24 Failed, w=70\",\"Find(1)=0, Find(7)=0, Add (1,7)=34 Failed, w=70\",\"Find(5)=0, Find(6)=6, Add (5,6)=35 Succeeded, w=105\",\"Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=105\",\"Find(1)=0, Find(4)=4, Add (1,4)=37 Succeeded, w=142\",\"Find(2)=0, Find(4)=0, Add (2,4)=41 Failed, w=142\",\"Find(1)=0, Find(6)=0, Add (1,6)=46 Failed, w=142\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=142\",\"Find(4)=0, Find(7)=0, Add (4,7)=69 Failed, w=142\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=142\",\"Find(3)=0, Find(5)=0, Add (3,5)=77 Failed, w=142\",\"Find(4)=0, Find(6)=0, Add (4,6)=78 Failed, w=142\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=142\",\"Find(0)=0, Find(6)=0, Add (0,6)=97 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,15],[0,2,19],[0,5,2],[0,6,97],[0,7,15],[1,2,37],[1,3,24],[1,4,37],[1,5,76],[1,6,46],[1,7,34],[2,3,19],[2,4,41],[3,4,82],[3,5,77],[4,5,61],[4,6,78],[4,7,69],[5,6,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,1)=15,(0,7)=15,(0,2)=19,(2,3)=19,(1,3)=24,(1,7)=34,(5,6)=35,(1,2)=37,(1,4)=37,(2,4)=41,(1,6)=46,(4,5)=61,(4,7)=69,(1,5)=76,(3,5)=77,(4,6)=78,(3,4)=82,(0,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=15 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(3)=3, Add (2,3)=19 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=24 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=34 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=6, Add (5,6)=35 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=4, Add (1,4)=37 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=41 Failed, w=142\",\"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)=46 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=142\",\"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)=69 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=142\",\"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=142\",\"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)=78 Failed, w=142\",\"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)=82 Failed, w=142\",\"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)=97 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,90],[0,2,42],[0,3,47],[0,4,100],[1,2,65],[1,3,73],[2,3,18],[2,4,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,42],[0,3,47],[0,4,100],[1,2,65],[1,3,73],[2,3,18],[2,4,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,42],[0,3,47],[0,4,100],[1,2,65],[1,3,73],[2,3,18],[2,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,42],[0,3,47],[0,4,100],[1,2,65],[1,3,73],[2,3,18],[2,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (2,4)=24, w=42\",\"Add (0,2)=42, w=84\",\"Add (1,2)=65, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,42],[0,3,47],[0,4,100],[1,2,65],[1,3,73],[2,3,18],[2,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (2,4)=24 Succeeded, w=42\",\"Add (0,2)=42 Succeeded, w=84\",\"Add (0,3)=47 Failed, w=84\",\"Add (1,2)=65 Succeeded, w=149\",\"Add (1,3)=73 Failed, w=149\",\"Add (0,1)=90 Failed, w=149\",\"Add (0,4)=100 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,42],[0,3,47],[0,4,100],[1,2,65],[1,3,73],[2,3,18],[2,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(2,4)=24,(0,2)=42,(0,3)=47,(1,2)=65,(1,3)=73,(0,1)=90,(0,4)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=42\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=84\",\"Find(0)=2, Find(3)=2, Add (0,3)=47 Failed, w=84\",\"Find(1)=1, Find(2)=2, Add (1,2)=65 Succeeded, w=149\",\"Find(1)=2, Find(3)=2, Add (1,3)=73 Failed, w=149\",\"Find(0)=2, Find(1)=2, Add (0,1)=90 Failed, w=149\",\"Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,42],[0,3,47],[0,4,100],[1,2,65],[1,3,73],[2,3,18],[2,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(2,4)=24,(0,2)=42,(0,3)=47,(1,2)=65,(1,3)=73,(0,1)=90,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=24 Succeeded, w=42\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=84\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=47 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=65 Succeeded, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=73 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=90 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=100 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,29],[0,4,94],[0,5,27],[1,3,50],[1,5,28],[2,3,62],[2,5,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,4,94],[0,5,27],[1,3,50],[1,5,28],[2,3,62],[2,5,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,4,94],[0,5,27],[1,3,50],[1,5,28],[2,3,62],[2,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,4,94],[0,5,27],[1,3,50],[1,5,28],[2,3,62],[2,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=27, w=27\",\"Add (1,5)=28, w=55\",\"Add (1,3)=50, w=105\",\"Add (2,3)=62, w=167\",\"Add (0,4)=94, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,4,94],[0,5,27],[1,3,50],[1,5,28],[2,3,62],[2,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=27 Succeeded, w=27\",\"Add (1,5)=28 Succeeded, w=55\",\"Add (0,1)=29 Failed, w=55\",\"Add (1,3)=50 Succeeded, w=105\",\"Add (2,3)=62 Succeeded, w=167\",\"Add (2,5)=77 Failed, w=167\",\"Add (0,4)=94 Succeeded, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,4,94],[0,5,27],[1,3,50],[1,5,28],[2,3,62],[2,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=27,(1,5)=28,(0,1)=29,(1,3)=50,(2,3)=62,(2,5)=77,(0,4)=94]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=27\",\"Find(1)=1, Find(5)=0, Add (1,5)=28 Succeeded, w=55\",\"Find(0)=0, Find(1)=0, Add (0,1)=29 Failed, w=55\",\"Find(1)=0, Find(3)=3, Add (1,3)=50 Succeeded, w=105\",\"Find(2)=2, Find(3)=0, Add (2,3)=62 Succeeded, w=167\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=167\",\"Find(0)=0, Find(4)=4, Add (0,4)=94 Succeeded, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,29],[0,4,94],[0,5,27],[1,3,50],[1,5,28],[2,3,62],[2,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=27,(1,5)=28,(0,1)=29,(1,3)=50,(2,3)=62,(2,5)=77,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=28 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=29 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(3)=3, Add (1,3)=50 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=62 Succeeded, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=94 Succeeded, w=261\"],\"Answer\":261}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,26],[0,4,43],[0,5,14],[1,2,47],[1,3,73],[1,5,47],[2,3,15],[2,4,6],[2,5,26],[3,4,100],[4,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,26],[0,4,43],[0,5,14],[1,2,47],[1,3,73],[1,5,47],[2,3,15],[2,4,6],[2,5,26],[3,4,100],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,26],[0,4,43],[0,5,14],[1,2,47],[1,3,73],[1,5,47],[2,3,15],[2,4,6],[2,5,26],[3,4,100],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,26],[0,4,43],[0,5,14],[1,2,47],[1,3,73],[1,5,47],[2,3,15],[2,4,6],[2,5,26],[3,4,100],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (0,5)=14, w=20\",\"Add (2,3)=15, w=35\",\"Add (0,3)=26, w=61\",\"Add (1,2)=47, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,26],[0,4,43],[0,5,14],[1,2,47],[1,3,73],[1,5,47],[2,3,15],[2,4,6],[2,5,26],[3,4,100],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (0,5)=14 Succeeded, w=20\",\"Add (2,3)=15 Succeeded, w=35\",\"Add (0,3)=26 Succeeded, w=61\",\"Add (2,5)=26 Failed, w=61\",\"Add (0,4)=43 Failed, w=61\",\"Add (1,2)=47 Succeeded, w=108\",\"Add (1,5)=47 Failed, w=108\",\"Add (1,3)=73 Failed, w=108\",\"Add (4,5)=73 Failed, w=108\",\"Add (3,4)=100 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,26],[0,4,43],[0,5,14],[1,2,47],[1,3,73],[1,5,47],[2,3,15],[2,4,6],[2,5,26],[3,4,100],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,5)=14,(2,3)=15,(0,3)=26,(2,5)=26,(0,4)=43,(1,2)=47,(1,5)=47,(1,3)=73,(4,5)=73,(3,4)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=35\",\"Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=61\",\"Find(2)=0, Find(5)=0, Add (2,5)=26 Failed, w=61\",\"Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=61\",\"Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=108\",\"Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=108\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=108\",\"Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=108\",\"Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,26],[0,4,43],[0,5,14],[1,2,47],[1,3,73],[1,5,47],[2,3,15],[2,4,6],[2,5,26],[3,4,100],[4,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,5)=14,(2,3)=15,(0,3)=26,(2,5)=26,(0,4)=43,(1,2)=47,(1,5)=47,(1,3)=73,(4,5)=73,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=14 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 2, 5: 0}, Find(0)=0, Find(3)=2, Add (0,3)=26 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 2, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=26 Failed, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=47 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=73 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=100 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,91],[0,4,29],[1,2,36],[1,3,98],[1,4,33],[1,5,89],[2,4,31],[3,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,91],[0,4,29],[1,2,36],[1,3,98],[1,4,33],[1,5,89],[2,4,31],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,91],[0,4,29],[1,2,36],[1,3,98],[1,4,33],[1,5,89],[2,4,31],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (1,5)\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,91],[0,4,29],[1,2,36],[1,3,98],[1,4,33],[1,5,89],[2,4,31],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5, w=5\",\"Add (0,4)=29, w=34\",\"Add (2,4)=31, w=65\",\"Add (1,4)=33, w=98\",\"Add (1,5)=89, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,91],[0,4,29],[1,2,36],[1,3,98],[1,4,33],[1,5,89],[2,4,31],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=5 Succeeded, w=5\",\"Add (0,4)=29 Succeeded, w=34\",\"Add (2,4)=31 Succeeded, w=65\",\"Add (1,4)=33 Succeeded, w=98\",\"Add (1,2)=36 Failed, w=98\",\"Add (1,5)=89 Succeeded, w=187\",\"Add (0,3)=91 Failed, w=187\",\"Add (1,3)=98 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,91],[0,4,29],[1,2,36],[1,3,98],[1,4,33],[1,5,89],[2,4,31],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(0,4)=29,(2,4)=31,(1,4)=33,(1,2)=36,(1,5)=89,(0,3)=91,(1,3)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=34\",\"Find(2)=2, Find(4)=0, Add (2,4)=31 Succeeded, w=65\",\"Find(1)=1, Find(4)=0, Add (1,4)=33 Succeeded, w=98\",\"Find(1)=0, Find(2)=0, Add (1,2)=36 Failed, w=98\",\"Find(1)=0, Find(5)=3, Add (1,5)=89 Succeeded, w=187\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=187\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,91],[0,4,29],[1,2,36],[1,3,98],[1,4,33],[1,5,89],[2,4,31],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=5,(0,4)=29,(2,4)=31,(1,4)=33,(1,2)=36,(1,5)=89,(0,3)=91,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3}, Find(2)=2, Find(4)=0, Add (2,4)=31 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3}, Find(1)=1, Find(4)=0, Add (1,4)=33 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3}, Find(1)=0, Find(2)=0, Add (1,2)=36 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(5)=3, Add (1,5)=89 Succeeded, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=187\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,46],[0,3,76],[0,5,49],[0,6,9],[1,2,88],[1,3,74],[1,5,39],[1,6,89],[2,5,13],[3,4,67],[3,5,47],[3,6,81],[4,5,34],[4,6,18],[5,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,46],[0,3,76],[0,5,49],[0,6,9],[1,2,88],[1,3,74],[1,5,39],[1,6,89],[2,5,13],[3,4,67],[3,5,47],[3,6,81],[4,5,34],[4,6,18],[5,6,37]]}",
"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],\"edges\":[[0,2,46],[0,3,76],[0,5,49],[0,6,9],[1,2,88],[1,3,74],[1,5,39],[1,6,89],[2,5,13],[3,4,67],[3,5,47],[3,6,81],[4,5,34],[4,6,18],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (3,5)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,46],[0,3,76],[0,5,49],[0,6,9],[1,2,88],[1,3,74],[1,5,39],[1,6,89],[2,5,13],[3,4,67],[3,5,47],[3,6,81],[4,5,34],[4,6,18],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9, w=9\",\"Add (2,5)=13, w=22\",\"Add (4,6)=18, w=40\",\"Add (4,5)=34, w=74\",\"Add (1,5)=39, w=113\",\"Add (3,5)=47, 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],\"edges\":[[0,2,46],[0,3,76],[0,5,49],[0,6,9],[1,2,88],[1,3,74],[1,5,39],[1,6,89],[2,5,13],[3,4,67],[3,5,47],[3,6,81],[4,5,34],[4,6,18],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9 Succeeded, w=9\",\"Add (2,5)=13 Succeeded, w=22\",\"Add (4,6)=18 Succeeded, w=40\",\"Add (4,5)=34 Succeeded, w=74\",\"Add (5,6)=37 Failed, w=74\",\"Add (1,5)=39 Succeeded, w=113\",\"Add (0,2)=46 Failed, w=113\",\"Add (3,5)=47 Succeeded, w=160\",\"Add (0,5)=49 Failed, w=160\",\"Add (3,4)=67 Failed, w=160\",\"Add (1,3)=74 Failed, w=160\",\"Add (0,3)=76 Failed, w=160\",\"Add (3,6)=81 Failed, w=160\",\"Add (1,2)=88 Failed, w=160\",\"Add (1,6)=89 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],\"edges\":[[0,2,46],[0,3,76],[0,5,49],[0,6,9],[1,2,88],[1,3,74],[1,5,39],[1,6,89],[2,5,13],[3,4,67],[3,5,47],[3,6,81],[4,5,34],[4,6,18],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(2,5)=13,(4,6)=18,(4,5)=34,(5,6)=37,(1,5)=39,(0,2)=46,(3,5)=47,(0,5)=49,(3,4)=67,(1,3)=74,(0,3)=76,(3,6)=81,(1,2)=88,(1,6)=89]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=22\",\"Find(4)=4, Find(6)=0, Add (4,6)=18 Succeeded, w=40\",\"Find(4)=0, Find(5)=2, Add (4,5)=34 Succeeded, w=74\",\"Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=74\",\"Find(1)=1, Find(5)=0, Add (1,5)=39 Succeeded, w=113\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=113\",\"Find(3)=3, Find(5)=0, Add (3,5)=47 Succeeded, w=160\",\"Find(0)=0, Find(5)=0, Add (0,5)=49 Failed, w=160\",\"Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=160\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=160\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=160\",\"Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=160\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=160\",\"Find(1)=0, Find(6)=0, Add (1,6)=89 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],\"edges\":[[0,2,46],[0,3,76],[0,5,49],[0,6,9],[1,2,88],[1,3,74],[1,5,39],[1,6,89],[2,5,13],[3,4,67],[3,5,47],[3,6,81],[4,5,34],[4,6,18],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(2,5)=13,(4,6)=18,(4,5)=34,(5,6)=37,(1,5)=39,(0,2)=46,(3,5)=47,(0,5)=49,(3,4)=67,(1,3)=74,(0,3)=76,(3,6)=81,(1,2)=88,(1,6)=89]\",\"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)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0}, Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=18 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 2, 6: 0}, Find(4)=0, Find(5)=2, Add (4,5)=34 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(5)=0, Add (1,5)=39 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(5)=0, Add (3,5)=47 Succeeded, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=49 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=67 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,16],[0,5,1],[0,6,74],[1,3,68],[1,4,69],[1,5,79],[1,6,93],[2,4,68],[2,5,48],[2,6,27],[3,5,57],[4,5,1],[4,6,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,5,1],[0,6,74],[1,3,68],[1,4,69],[1,5,79],[1,6,93],[2,4,68],[2,5,48],[2,6,27],[3,5,57],[4,5,1],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,5,1],[0,6,74],[1,3,68],[1,4,69],[1,5,79],[1,6,93],[2,4,68],[2,5,48],[2,6,27],[3,5,57],[4,5,1],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (4,6)\",\"Add (2,6)\",\"Add (3,5)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,5,1],[0,6,74],[1,3,68],[1,4,69],[1,5,79],[1,6,93],[2,4,68],[2,5,48],[2,6,27],[3,5,57],[4,5,1],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (4,5)=1, w=2\",\"Add (0,1)=16, w=18\",\"Add (4,6)=25, w=43\",\"Add (2,6)=27, w=70\",\"Add (3,5)=57, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,5,1],[0,6,74],[1,3,68],[1,4,69],[1,5,79],[1,6,93],[2,4,68],[2,5,48],[2,6,27],[3,5,57],[4,5,1],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (4,5)=1 Succeeded, w=2\",\"Add (0,1)=16 Succeeded, w=18\",\"Add (4,6)=25 Succeeded, w=43\",\"Add (2,6)=27 Succeeded, w=70\",\"Add (2,5)=48 Failed, w=70\",\"Add (3,5)=57 Succeeded, w=127\",\"Add (1,3)=68 Failed, w=127\",\"Add (2,4)=68 Failed, w=127\",\"Add (1,4)=69 Failed, w=127\",\"Add (0,6)=74 Failed, w=127\",\"Add (1,5)=79 Failed, w=127\",\"Add (1,6)=93 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,5,1],[0,6,74],[1,3,68],[1,4,69],[1,5,79],[1,6,93],[2,4,68],[2,5,48],[2,6,27],[3,5,57],[4,5,1],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(4,5)=1,(0,1)=16,(4,6)=25,(2,6)=27,(2,5)=48,(3,5)=57,(1,3)=68,(2,4)=68,(1,4)=69,(0,6)=74,(1,5)=79,(1,6)=93]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=0, Add (4,5)=1 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=18\",\"Find(4)=0, Find(6)=6, Add (4,6)=25 Succeeded, w=43\",\"Find(2)=2, Find(6)=0, Add (2,6)=27 Succeeded, w=70\",\"Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=70\",\"Find(3)=3, Find(5)=0, Add (3,5)=57 Succeeded, w=127\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=127\",\"Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=127\",\"Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=127\",\"Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=127\",\"Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=127\",\"Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,16],[0,5,1],[0,6,74],[1,3,68],[1,4,69],[1,5,79],[1,6,93],[2,4,68],[2,5,48],[2,6,27],[3,5,57],[4,5,1],[4,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(4,5)=1,(0,1)=16,(4,6)=25,(2,6)=27,(2,5)=48,(3,5)=57,(1,3)=68,(2,4)=68,(1,4)=69,(0,6)=74,(1,5)=79,(1,6)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=25 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=27 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(5)=0, Add (3,5)=57 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=69 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=74 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=79 Failed, w=127\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,82],[0,3,95],[1,2,99],[1,3,44],[2,3,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,3,95],[1,2,99],[1,3,44],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,3,95],[1,2,99],[1,3,44],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,3,95],[1,2,99],[1,3,44],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=44, w=44\",\"Add (0,1)=82, w=126\",\"Add (2,3)=84, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,3,95],[1,2,99],[1,3,44],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=44 Succeeded, w=44\",\"Add (0,1)=82 Succeeded, w=126\",\"Add (2,3)=84 Succeeded, w=210\",\"Add (0,3)=95 Failed, w=210\",\"Add (1,2)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,3,95],[1,2,99],[1,3,44],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=44,(0,1)=82,(2,3)=84,(0,3)=95,(1,2)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=82 Succeeded, w=126\",\"Find(2)=2, Find(3)=1, Add (2,3)=84 Succeeded, w=210\",\"Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=210\",\"Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,82],[0,3,95],[1,2,99],[1,3,44],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=44,(0,1)=82,(2,3)=84,(0,3)=95,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=82 Succeeded, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=84 Succeeded, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=210\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,74],[0,2,73],[0,3,8],[1,3,9],[2,3,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,73],[0,3,8],[1,3,9],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,73],[0,3,8],[1,3,9],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,73],[0,3,8],[1,3,9],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (1,3)=9, w=17\",\"Add (0,2)=73, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,73],[0,3,8],[1,3,9],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (1,3)=9 Succeeded, w=17\",\"Add (0,2)=73 Succeeded, w=90\",\"Add (0,1)=74 Failed, w=90\",\"Add (2,3)=88 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,73],[0,3,8],[1,3,9],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,3)=9,(0,2)=73,(0,1)=74,(2,3)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=0, Add (1,3)=9 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=73 Succeeded, w=90\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=90\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,74],[0,2,73],[0,3,8],[1,3,9],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,3)=9,(0,2)=73,(0,1)=74,(2,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=73 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,13],[0,2,77],[0,3,42],[0,4,68],[0,5,94],[0,6,67],[1,2,81],[1,3,90],[1,4,77],[1,5,14],[1,6,70],[2,3,33],[2,4,66],[2,5,77],[2,6,66],[3,4,43],[3,5,53],[3,6,63],[4,5,10],[4,6,23],[5,6,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,77],[0,3,42],[0,4,68],[0,5,94],[0,6,67],[1,2,81],[1,3,90],[1,4,77],[1,5,14],[1,6,70],[2,3,33],[2,4,66],[2,5,77],[2,6,66],[3,4,43],[3,5,53],[3,6,63],[4,5,10],[4,6,23],[5,6,58]]}",
"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\":[[0,1,13],[0,2,77],[0,3,42],[0,4,68],[0,5,94],[0,6,67],[1,2,81],[1,3,90],[1,4,77],[1,5,14],[1,6,70],[2,3,33],[2,4,66],[2,5,77],[2,6,66],[3,4,43],[3,5,53],[3,6,63],[4,5,10],[4,6,23],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,13],[0,2,77],[0,3,42],[0,4,68],[0,5,94],[0,6,67],[1,2,81],[1,3,90],[1,4,77],[1,5,14],[1,6,70],[2,3,33],[2,4,66],[2,5,77],[2,6,66],[3,4,43],[3,5,53],[3,6,63],[4,5,10],[4,6,23],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=10, w=10\",\"Add (0,1)=13, w=23\",\"Add (1,5)=14, w=37\",\"Add (4,6)=23, w=60\",\"Add (2,3)=33, w=93\",\"Add (0,3)=42, 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\":[[0,1,13],[0,2,77],[0,3,42],[0,4,68],[0,5,94],[0,6,67],[1,2,81],[1,3,90],[1,4,77],[1,5,14],[1,6,70],[2,3,33],[2,4,66],[2,5,77],[2,6,66],[3,4,43],[3,5,53],[3,6,63],[4,5,10],[4,6,23],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=10 Succeeded, w=10\",\"Add (0,1)=13 Succeeded, w=23\",\"Add (1,5)=14 Succeeded, w=37\",\"Add (4,6)=23 Succeeded, w=60\",\"Add (2,3)=33 Succeeded, w=93\",\"Add (0,3)=42 Succeeded, w=135\",\"Add (3,4)=43 Failed, w=135\",\"Add (3,5)=53 Failed, w=135\",\"Add (5,6)=58 Failed, w=135\",\"Add (3,6)=63 Failed, w=135\",\"Add (2,4)=66 Failed, w=135\",\"Add (2,6)=66 Failed, w=135\",\"Add (0,6)=67 Failed, w=135\",\"Add (0,4)=68 Failed, w=135\",\"Add (1,6)=70 Failed, w=135\",\"Add (0,2)=77 Failed, w=135\",\"Add (1,4)=77 Failed, w=135\",\"Add (2,5)=77 Failed, w=135\",\"Add (1,2)=81 Failed, w=135\",\"Add (1,3)=90 Failed, w=135\",\"Add (0,5)=94 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\":[[0,1,13],[0,2,77],[0,3,42],[0,4,68],[0,5,94],[0,6,67],[1,2,81],[1,3,90],[1,4,77],[1,5,14],[1,6,70],[2,3,33],[2,4,66],[2,5,77],[2,6,66],[3,4,43],[3,5,53],[3,6,63],[4,5,10],[4,6,23],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=10,(0,1)=13,(1,5)=14,(4,6)=23,(2,3)=33,(0,3)=42,(3,4)=43,(3,5)=53,(5,6)=58,(3,6)=63,(2,4)=66,(2,6)=66,(0,6)=67,(0,4)=68,(1,6)=70,(0,2)=77,(1,4)=77,(2,5)=77,(1,2)=81,(1,3)=90,(0,5)=94]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=23\",\"Find(1)=0, Find(5)=4, Add (1,5)=14 Succeeded, w=37\",\"Find(4)=0, Find(6)=6, Add (4,6)=23 Succeeded, w=60\",\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=93\",\"Find(0)=0, Find(3)=2, Add (0,3)=42 Succeeded, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=135\",\"Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=135\",\"Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=135\",\"Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=135\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=135\",\"Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=135\",\"Find(0)=0, Find(6)=0, Add (0,6)=67 Failed, w=135\",\"Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=135\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=135\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=135\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=135\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=135\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=135\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=135\",\"Find(0)=0, Find(5)=0, Add (0,5)=94 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\":[[0,1,13],[0,2,77],[0,3,42],[0,4,68],[0,5,94],[0,6,67],[1,2,81],[1,3,90],[1,4,77],[1,5,14],[1,6,70],[2,3,33],[2,4,66],[2,5,77],[2,6,66],[3,4,43],[3,5,53],[3,6,63],[4,5,10],[4,6,23],[5,6,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=10,(0,1)=13,(1,5)=14,(4,6)=23,(2,3)=33,(0,3)=42,(3,4)=43,(3,5)=53,(5,6)=58,(3,6)=63,(2,4)=66,(2,6)=66,(0,6)=67,(0,4)=68,(1,6)=70,(0,2)=77,(1,4)=77,(2,5)=77,(1,2)=81,(1,3)=90,(0,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(5)=4, Add (1,5)=14 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 0}, Find(4)=0, Find(6)=6, Add (4,6)=23 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 4, 6: 0}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(3)=2, Add (0,3)=42 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=43 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=53 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=58 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=67 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=68 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,34],[0,2,16],[0,3,66],[0,5,46],[1,4,72],[1,5,31],[2,5,4],[3,4,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,16],[0,3,66],[0,5,46],[1,4,72],[1,5,31],[2,5,4],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,16],[0,3,66],[0,5,46],[1,4,72],[1,5,31],[2,5,4],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (0,3)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,16],[0,3,66],[0,5,46],[1,4,72],[1,5,31],[2,5,4],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (0,2)=16, w=20\",\"Add (1,5)=31, w=51\",\"Add (3,4)=47, w=98\",\"Add (0,3)=66, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,16],[0,3,66],[0,5,46],[1,4,72],[1,5,31],[2,5,4],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (0,2)=16 Succeeded, w=20\",\"Add (1,5)=31 Succeeded, w=51\",\"Add (0,1)=34 Failed, w=51\",\"Add (0,5)=46 Failed, w=51\",\"Add (3,4)=47 Succeeded, w=98\",\"Add (0,3)=66 Succeeded, w=164\",\"Add (1,4)=72 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,16],[0,3,66],[0,5,46],[1,4,72],[1,5,31],[2,5,4],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(0,2)=16,(1,5)=31,(0,1)=34,(0,5)=46,(3,4)=47,(0,3)=66,(1,4)=72]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=20\",\"Find(1)=1, Find(5)=2, Add (1,5)=31 Succeeded, w=51\",\"Find(0)=2, Find(1)=2, Add (0,1)=34 Failed, w=51\",\"Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=51\",\"Find(3)=3, Find(4)=4, Add (3,4)=47 Succeeded, w=98\",\"Find(0)=2, Find(3)=3, Add (0,3)=66 Succeeded, w=164\",\"Find(1)=2, Find(4)=2, Add (1,4)=72 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,16],[0,3,66],[0,5,46],[1,4,72],[1,5,31],[2,5,4],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(0,2)=16,(1,5)=31,(0,1)=34,(0,5)=46,(3,4)=47,(0,3)=66,(1,4)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=20\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=31 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=34 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=47 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(0)=2, Find(3)=3, Add (0,3)=66 Succeeded, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=72 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,10],[0,2,14],[0,4,66],[0,6,41],[1,2,11],[1,3,18],[1,4,60],[1,5,43],[2,3,47],[2,4,76],[2,6,89],[3,4,75],[3,5,63],[3,6,62],[4,5,70],[4,6,23],[5,6,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,14],[0,4,66],[0,6,41],[1,2,11],[1,3,18],[1,4,60],[1,5,43],[2,3,47],[2,4,76],[2,6,89],[3,4,75],[3,5,63],[3,6,62],[4,5,70],[4,6,23],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,14],[0,4,66],[0,6,41],[1,2,11],[1,3,18],[1,4,60],[1,5,43],[2,3,47],[2,4,76],[2,6,89],[3,4,75],[3,5,63],[3,6,62],[4,5,70],[4,6,23],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (1,5)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,14],[0,4,66],[0,6,41],[1,2,11],[1,3,18],[1,4,60],[1,5,43],[2,3,47],[2,4,76],[2,6,89],[3,4,75],[3,5,63],[3,6,62],[4,5,70],[4,6,23],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (1,2)=11, w=21\",\"Add (1,3)=18, w=39\",\"Add (4,6)=23, w=62\",\"Add (0,6)=41, w=103\",\"Add (1,5)=43, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,14],[0,4,66],[0,6,41],[1,2,11],[1,3,18],[1,4,60],[1,5,43],[2,3,47],[2,4,76],[2,6,89],[3,4,75],[3,5,63],[3,6,62],[4,5,70],[4,6,23],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (1,2)=11 Succeeded, w=21\",\"Add (0,2)=14 Failed, w=21\",\"Add (1,3)=18 Succeeded, w=39\",\"Add (4,6)=23 Succeeded, w=62\",\"Add (0,6)=41 Succeeded, w=103\",\"Add (1,5)=43 Succeeded, w=146\",\"Add (2,3)=47 Failed, w=146\",\"Add (1,4)=60 Failed, w=146\",\"Add (3,6)=62 Failed, w=146\",\"Add (3,5)=63 Failed, w=146\",\"Add (5,6)=64 Failed, w=146\",\"Add (0,4)=66 Failed, w=146\",\"Add (4,5)=70 Failed, w=146\",\"Add (3,4)=75 Failed, w=146\",\"Add (2,4)=76 Failed, w=146\",\"Add (2,6)=89 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,14],[0,4,66],[0,6,41],[1,2,11],[1,3,18],[1,4,60],[1,5,43],[2,3,47],[2,4,76],[2,6,89],[3,4,75],[3,5,63],[3,6,62],[4,5,70],[4,6,23],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,2)=11,(0,2)=14,(1,3)=18,(4,6)=23,(0,6)=41,(1,5)=43,(2,3)=47,(1,4)=60,(3,6)=62,(3,5)=63,(5,6)=64,(0,4)=66,(4,5)=70,(3,4)=75,(2,4)=76,(2,6)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=21\",\"Find(0)=0, Find(2)=0, Add (0,2)=14 Failed, w=21\",\"Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=39\",\"Find(4)=4, Find(6)=6, Add (4,6)=23 Succeeded, w=62\",\"Find(0)=0, Find(6)=4, Add (0,6)=41 Succeeded, w=103\",\"Find(1)=0, Find(5)=5, Add (1,5)=43 Succeeded, w=146\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=146\",\"Find(1)=0, Find(4)=0, Add (1,4)=60 Failed, w=146\",\"Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=146\",\"Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=146\",\"Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=146\",\"Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=146\",\"Find(4)=0, Find(5)=0, Add (4,5)=70 Failed, w=146\",\"Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=146\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=146\",\"Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,14],[0,4,66],[0,6,41],[1,2,11],[1,3,18],[1,4,60],[1,5,43],[2,3,47],[2,4,76],[2,6,89],[3,4,75],[3,5,63],[3,6,62],[4,5,70],[4,6,23],[5,6,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,2)=11,(0,2)=14,(1,3)=18,(4,6)=23,(0,6)=41,(1,5)=43,(2,3)=47,(1,4)=60,(3,6)=62,(3,5)=63,(5,6)=64,(0,4)=66,(4,5)=70,(3,4)=75,(2,4)=76,(2,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=0, Add (0,2)=14 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=0, Find(3)=3, Add (1,3)=18 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=23 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=41 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(5)=5, Add (1,5)=43 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(4)=0, Add (1,4)=60 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=62 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=70 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,17],[0,4,61],[1,2,1],[1,3,18],[1,4,86],[2,3,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,61],[1,2,1],[1,3,18],[1,4,86],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,61],[1,2,1],[1,3,18],[1,4,86],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,61],[1,2,1],[1,3,18],[1,4,86],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,1)=17, w=18\",\"Add (1,3)=18, w=36\",\"Add (0,4)=61, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,61],[1,2,1],[1,3,18],[1,4,86],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,1)=17 Succeeded, w=18\",\"Add (1,3)=18 Succeeded, w=36\",\"Add (0,4)=61 Succeeded, w=97\",\"Add (2,3)=65 Failed, w=97\",\"Add (1,4)=86 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,61],[1,2,1],[1,3,18],[1,4,86],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=17,(1,3)=18,(0,4)=61,(2,3)=65,(1,4)=86]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=18\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=36\",\"Find(0)=1, Find(4)=4, Add (0,4)=61 Succeeded, w=97\",\"Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=97\",\"Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,17],[0,4,61],[1,2,1],[1,3,18],[1,4,86],[2,3,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=17,(1,3)=18,(0,4)=61,(2,3)=65,(1,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=61 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=65 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=86 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,80],[1,2,11],[1,3,21],[2,3,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,11],[1,3,21],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,11],[1,3,21],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,11],[1,3,21],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11, w=11\",\"Add (1,3)=21, w=32\",\"Add (0,3)=80, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,11],[1,3,21],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11 Succeeded, w=11\",\"Add (1,3)=21 Succeeded, w=32\",\"Add (0,3)=80 Succeeded, w=112\",\"Add (2,3)=99 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,11],[1,3,21],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(1,3)=21,(0,3)=80,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=32\",\"Find(0)=0, Find(3)=1, Add (0,3)=80 Succeeded, w=112\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,80],[1,2,11],[1,3,21],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(1,3)=21,(0,3)=80,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=32\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=80 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,58],[0,2,7],[0,3,46],[0,4,90],[0,5,72],[0,6,19],[1,2,47],[1,3,83],[1,4,96],[1,5,78],[1,6,77],[2,5,82],[2,6,75],[3,4,46],[3,5,32],[3,6,83],[4,5,71],[4,6,50],[5,6,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,7],[0,3,46],[0,4,90],[0,5,72],[0,6,19],[1,2,47],[1,3,83],[1,4,96],[1,5,78],[1,6,77],[2,5,82],[2,6,75],[3,4,46],[3,5,32],[3,6,83],[4,5,71],[4,6,50],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,7],[0,3,46],[0,4,90],[0,5,72],[0,6,19],[1,2,47],[1,3,83],[1,4,96],[1,5,78],[1,6,77],[2,5,82],[2,6,75],[3,4,46],[3,5,32],[3,6,83],[4,5,71],[4,6,50],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,6)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,7],[0,3,46],[0,4,90],[0,5,72],[0,6,19],[1,2,47],[1,3,83],[1,4,96],[1,5,78],[1,6,77],[2,5,82],[2,6,75],[3,4,46],[3,5,32],[3,6,83],[4,5,71],[4,6,50],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,6)=19, w=26\",\"Add (3,5)=32, w=58\",\"Add (0,3)=46, w=104\",\"Add (3,4)=46, w=150\",\"Add (1,2)=47, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,7],[0,3,46],[0,4,90],[0,5,72],[0,6,19],[1,2,47],[1,3,83],[1,4,96],[1,5,78],[1,6,77],[2,5,82],[2,6,75],[3,4,46],[3,5,32],[3,6,83],[4,5,71],[4,6,50],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,6)=19 Succeeded, w=26\",\"Add (3,5)=32 Succeeded, w=58\",\"Add (0,3)=46 Succeeded, w=104\",\"Add (3,4)=46 Succeeded, w=150\",\"Add (1,2)=47 Succeeded, w=197\",\"Add (5,6)=48 Failed, w=197\",\"Add (4,6)=50 Failed, w=197\",\"Add (0,1)=58 Failed, w=197\",\"Add (4,5)=71 Failed, w=197\",\"Add (0,5)=72 Failed, w=197\",\"Add (2,6)=75 Failed, w=197\",\"Add (1,6)=77 Failed, w=197\",\"Add (1,5)=78 Failed, w=197\",\"Add (2,5)=82 Failed, w=197\",\"Add (1,3)=83 Failed, w=197\",\"Add (3,6)=83 Failed, w=197\",\"Add (0,4)=90 Failed, w=197\",\"Add (1,4)=96 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,7],[0,3,46],[0,4,90],[0,5,72],[0,6,19],[1,2,47],[1,3,83],[1,4,96],[1,5,78],[1,6,77],[2,5,82],[2,6,75],[3,4,46],[3,5,32],[3,6,83],[4,5,71],[4,6,50],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,6)=19,(3,5)=32,(0,3)=46,(3,4)=46,(1,2)=47,(5,6)=48,(4,6)=50,(0,1)=58,(4,5)=71,(0,5)=72,(2,6)=75,(1,6)=77,(1,5)=78,(2,5)=82,(1,3)=83,(3,6)=83,(0,4)=90,(1,4)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=26\",\"Find(3)=3, Find(5)=5, Add (3,5)=32 Succeeded, w=58\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=104\",\"Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=150\",\"Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=197\",\"Find(5)=0, Find(6)=0, Add (5,6)=48 Failed, w=197\",\"Find(4)=0, Find(6)=0, Add (4,6)=50 Failed, w=197\",\"Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=197\",\"Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=197\",\"Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=197\",\"Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=197\",\"Find(1)=0, Find(6)=0, Add (1,6)=77 Failed, w=197\",\"Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=197\",\"Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=197\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=197\",\"Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=197\",\"Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=197\",\"Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,7],[0,3,46],[0,4,90],[0,5,72],[0,6,19],[1,2,47],[1,3,83],[1,4,96],[1,5,78],[1,6,77],[2,5,82],[2,6,75],[3,4,46],[3,5,32],[3,6,83],[4,5,71],[4,6,50],[5,6,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,6)=19,(3,5)=32,(0,3)=46,(3,4)=46,(1,2)=47,(5,6)=48,(4,6)=50,(0,1)=58,(4,5)=71,(0,5)=72,(2,6)=75,(1,6)=77,(1,5)=78,(2,5)=82,(1,3)=83,(3,6)=83,(0,4)=90,(1,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=19 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 0}, Find(3)=3, Find(5)=5, Add (3,5)=32 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=104\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(3)=0, Find(4)=4, Add (3,4)=46 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=197\",\"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=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=50 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=71 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=197\",\"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=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=77 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=197\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,2],[0,3,60],[0,4,80],[1,2,26],[1,3,78],[1,4,31],[2,3,71],[2,4,76],[3,4,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,60],[0,4,80],[1,2,26],[1,3,78],[1,4,31],[2,3,71],[2,4,76],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,60],[0,4,80],[1,2,26],[1,3,78],[1,4,31],[2,3,71],[2,4,76],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,60],[0,4,80],[1,2,26],[1,3,78],[1,4,31],[2,3,71],[2,4,76],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (3,4)=25, w=27\",\"Add (1,2)=26, w=53\",\"Add (1,4)=31, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,60],[0,4,80],[1,2,26],[1,3,78],[1,4,31],[2,3,71],[2,4,76],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (3,4)=25 Succeeded, w=27\",\"Add (1,2)=26 Succeeded, w=53\",\"Add (1,4)=31 Succeeded, w=84\",\"Add (0,3)=60 Failed, w=84\",\"Add (2,3)=71 Failed, w=84\",\"Add (2,4)=76 Failed, w=84\",\"Add (1,3)=78 Failed, w=84\",\"Add (0,4)=80 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,60],[0,4,80],[1,2,26],[1,3,78],[1,4,31],[2,3,71],[2,4,76],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(3,4)=25,(1,2)=26,(1,4)=31,(0,3)=60,(2,3)=71,(2,4)=76,(1,3)=78,(0,4)=80]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=27\",\"Find(1)=0, Find(2)=2, Add (1,2)=26 Succeeded, w=53\",\"Find(1)=0, Find(4)=3, Add (1,4)=31 Succeeded, w=84\",\"Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=84\",\"Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=84\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=84\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=84\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,2],[0,3,60],[0,4,80],[1,2,26],[1,3,78],[1,4,31],[2,3,71],[2,4,76],[3,4,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(3,4)=25,(1,2)=26,(1,4)=31,(0,3)=60,(2,3)=71,(2,4)=76,(1,3)=78,(0,4)=80]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=25 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3}, Find(1)=0, Find(2)=2, Add (1,2)=26 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(4)=3, Add (1,4)=31 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=60 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=71 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,90],[0,2,37],[0,3,66],[0,4,32],[1,2,78],[1,3,26],[1,4,20],[2,4,73],[3,4,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,37],[0,3,66],[0,4,32],[1,2,78],[1,3,26],[1,4,20],[2,4,73],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,37],[0,3,66],[0,4,32],[1,2,78],[1,3,26],[1,4,20],[2,4,73],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,37],[0,3,66],[0,4,32],[1,2,78],[1,3,26],[1,4,20],[2,4,73],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20, w=20\",\"Add (1,3)=26, w=46\",\"Add (0,4)=32, w=78\",\"Add (0,2)=37, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,37],[0,3,66],[0,4,32],[1,2,78],[1,3,26],[1,4,20],[2,4,73],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=20 Succeeded, w=20\",\"Add (1,3)=26 Succeeded, w=46\",\"Add (0,4)=32 Succeeded, w=78\",\"Add (3,4)=32 Failed, w=78\",\"Add (0,2)=37 Succeeded, w=115\",\"Add (0,3)=66 Failed, w=115\",\"Add (2,4)=73 Failed, w=115\",\"Add (1,2)=78 Failed, w=115\",\"Add (0,1)=90 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,37],[0,3,66],[0,4,32],[1,2,78],[1,3,26],[1,4,20],[2,4,73],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(1,3)=26,(0,4)=32,(3,4)=32,(0,2)=37,(0,3)=66,(2,4)=73,(1,2)=78,(0,1)=90]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=46\",\"Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=78\",\"Find(3)=1, Find(4)=1, Add (3,4)=32 Failed, w=78\",\"Find(0)=1, Find(2)=2, Add (0,2)=37 Succeeded, w=115\",\"Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=115\",\"Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=115\",\"Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=115\",\"Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,37],[0,3,66],[0,4,32],[1,2,78],[1,3,26],[1,4,20],[2,4,73],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=20,(1,3)=26,(0,4)=32,(3,4)=32,(0,2)=37,(0,3)=66,(2,4)=73,(1,2)=78,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=32 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=37 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=73 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=78 Failed, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=90 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,1],[0,2,67],[0,3,68],[1,2,26],[1,3,75],[2,3,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,67],[0,3,68],[1,2,26],[1,3,75],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,67],[0,3,68],[1,2,26],[1,3,75],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,67],[0,3,68],[1,2,26],[1,3,75],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (2,3)=19, w=20\",\"Add (1,2)=26, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,67],[0,3,68],[1,2,26],[1,3,75],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (2,3)=19 Succeeded, w=20\",\"Add (1,2)=26 Succeeded, w=46\",\"Add (0,2)=67 Failed, w=46\",\"Add (0,3)=68 Failed, w=46\",\"Add (1,3)=75 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,67],[0,3,68],[1,2,26],[1,3,75],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(2,3)=19,(1,2)=26,(0,2)=67,(0,3)=68,(1,3)=75]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=20\",\"Find(1)=0, Find(2)=2, Add (1,2)=26 Succeeded, w=46\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=46\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=46\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,1],[0,2,67],[0,3,68],[1,2,26],[1,3,75],[2,3,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(2,3)=19,(1,2)=26,(0,2)=67,(0,3)=68,(1,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=26 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=46\"],\"Answer\":46}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,39],[0,2,32],[0,3,70],[1,3,42],[2,3,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,32],[0,3,70],[1,3,42],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,32],[0,3,70],[1,3,42],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,32],[0,3,70],[1,3,42],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=32, w=32\",\"Add (0,1)=39, w=71\",\"Add (2,3)=41, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,32],[0,3,70],[1,3,42],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=32 Succeeded, w=32\",\"Add (0,1)=39 Succeeded, w=71\",\"Add (2,3)=41 Succeeded, w=112\",\"Add (1,3)=42 Failed, w=112\",\"Add (0,3)=70 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,32],[0,3,70],[1,3,42],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=32,(0,1)=39,(2,3)=41,(1,3)=42,(0,3)=70]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=71\",\"Find(2)=0, Find(3)=3, Add (2,3)=41 Succeeded, w=112\",\"Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=112\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,32],[0,3,70],[1,3,42],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=32,(0,1)=39,(2,3)=41,(1,3)=42,(0,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=32 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=41 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=42 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,84],[0,2,83],[0,3,94],[0,4,43],[0,5,3],[1,2,37],[1,3,76],[1,4,0],[1,5,5],[2,3,21],[2,4,79],[3,5,78],[4,5,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,83],[0,3,94],[0,4,43],[0,5,3],[1,2,37],[1,3,76],[1,4,0],[1,5,5],[2,3,21],[2,4,79],[3,5,78],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,83],[0,3,94],[0,4,43],[0,5,3],[1,2,37],[1,3,76],[1,4,0],[1,5,5],[2,3,21],[2,4,79],[3,5,78],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,83],[0,3,94],[0,4,43],[0,5,3],[1,2,37],[1,3,76],[1,4,0],[1,5,5],[2,3,21],[2,4,79],[3,5,78],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,5)=3, w=3\",\"Add (1,5)=5, w=8\",\"Add (2,3)=21, w=29\",\"Add (1,2)=37, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,83],[0,3,94],[0,4,43],[0,5,3],[1,2,37],[1,3,76],[1,4,0],[1,5,5],[2,3,21],[2,4,79],[3,5,78],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,5)=3 Succeeded, w=3\",\"Add (1,5)=5 Succeeded, w=8\",\"Add (2,3)=21 Succeeded, w=29\",\"Add (1,2)=37 Succeeded, w=66\",\"Add (0,4)=43 Failed, w=66\",\"Add (1,3)=76 Failed, w=66\",\"Add (3,5)=78 Failed, w=66\",\"Add (2,4)=79 Failed, w=66\",\"Add (0,2)=83 Failed, w=66\",\"Add (0,1)=84 Failed, w=66\",\"Add (0,3)=94 Failed, w=66\",\"Add (4,5)=99 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,83],[0,3,94],[0,4,43],[0,5,3],[1,2,37],[1,3,76],[1,4,0],[1,5,5],[2,3,21],[2,4,79],[3,5,78],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,5)=3,(1,5)=5,(2,3)=21,(1,2)=37,(0,4)=43,(1,3)=76,(3,5)=78,(2,4)=79,(0,2)=83,(0,1)=84,(0,3)=94,(4,5)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=0, Add (1,5)=5 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=29\",\"Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=66\",\"Find(0)=1, Find(4)=1, Add (0,4)=43 Failed, w=66\",\"Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=66\",\"Find(3)=1, Find(5)=1, Add (3,5)=78 Failed, w=66\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=66\",\"Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=66\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=66\",\"Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=66\",\"Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,84],[0,2,83],[0,3,94],[0,4,43],[0,5,3],[1,2,37],[1,3,76],[1,4,0],[1,5,5],[2,3,21],[2,4,79],[3,5,78],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,5)=3,(1,5)=5,(2,3)=21,(1,2)=37,(0,4)=43,(1,3)=76,(3,5)=78,(2,4)=79,(0,2)=83,(0,1)=84,(0,3)=94,(4,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, 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: 0}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=5 Succeeded, w=8\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 0}, Find(0)=1, Find(4)=1, Add (0,4)=43 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=78 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=83 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=99 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,7],[0,3,79],[0,4,91],[0,5,35],[1,2,56],[1,3,46],[1,4,70],[1,5,32],[2,3,92],[2,4,10],[2,5,52],[3,4,44],[3,5,41],[4,5,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,7],[0,3,79],[0,4,91],[0,5,35],[1,2,56],[1,3,46],[1,4,70],[1,5,32],[2,3,92],[2,4,10],[2,5,52],[3,4,44],[3,5,41],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,7],[0,3,79],[0,4,91],[0,5,35],[1,2,56],[1,3,46],[1,4,70],[1,5,32],[2,3,92],[2,4,10],[2,5,52],[3,4,44],[3,5,41],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,5)\",\"Add (0,5)\",\"Add (3,5)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,7],[0,3,79],[0,4,91],[0,5,35],[1,2,56],[1,3,46],[1,4,70],[1,5,32],[2,3,92],[2,4,10],[2,5,52],[3,4,44],[3,5,41],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (2,4)=10, w=17\",\"Add (1,5)=32, w=49\",\"Add (0,5)=35, w=84\",\"Add (3,5)=41, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,7],[0,3,79],[0,4,91],[0,5,35],[1,2,56],[1,3,46],[1,4,70],[1,5,32],[2,3,92],[2,4,10],[2,5,52],[3,4,44],[3,5,41],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (2,4)=10 Succeeded, w=17\",\"Add (1,5)=32 Succeeded, w=49\",\"Add (0,5)=35 Succeeded, w=84\",\"Add (3,5)=41 Succeeded, w=125\",\"Add (3,4)=44 Failed, w=125\",\"Add (1,3)=46 Failed, w=125\",\"Add (2,5)=52 Failed, w=125\",\"Add (1,2)=56 Failed, w=125\",\"Add (0,1)=61 Failed, w=125\",\"Add (4,5)=65 Failed, w=125\",\"Add (1,4)=70 Failed, w=125\",\"Add (0,3)=79 Failed, w=125\",\"Add (0,4)=91 Failed, w=125\",\"Add (2,3)=92 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,7],[0,3,79],[0,4,91],[0,5,35],[1,2,56],[1,3,46],[1,4,70],[1,5,32],[2,3,92],[2,4,10],[2,5,52],[3,4,44],[3,5,41],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,4)=10,(1,5)=32,(0,5)=35,(3,5)=41,(3,4)=44,(1,3)=46,(2,5)=52,(1,2)=56,(0,1)=61,(4,5)=65,(1,4)=70,(0,3)=79,(0,4)=91,(2,3)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(2)=0, Find(4)=4, Add (2,4)=10 Succeeded, w=17\",\"Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=49\",\"Find(0)=0, Find(5)=1, Add (0,5)=35 Succeeded, w=84\",\"Find(3)=3, Find(5)=0, Add (3,5)=41 Succeeded, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=44 Failed, w=125\",\"Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=125\",\"Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=125\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=125\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=125\",\"Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=125\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=125\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=125\",\"Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=125\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,7],[0,3,79],[0,4,91],[0,5,35],[1,2,56],[1,3,46],[1,4,70],[1,5,32],[2,3,92],[2,4,10],[2,5,52],[3,4,44],[3,5,41],[4,5,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(2,4)=10,(1,5)=32,(0,5)=35,(3,5)=41,(3,4)=44,(1,3)=46,(2,5)=52,(1,2)=56,(0,1)=61,(4,5)=65,(1,4)=70,(0,3)=79,(0,4)=91,(2,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=0, Find(4)=4, Add (2,4)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=35 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=41 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=44 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=65 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=91 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,21],[0,2,86],[1,2,52],[1,3,57],[2,3,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,86],[1,2,52],[1,3,57],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,86],[1,2,52],[1,3,57],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,86],[1,2,52],[1,3,57],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16, w=16\",\"Add (0,1)=21, w=37\",\"Add (1,2)=52, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,86],[1,2,52],[1,3,57],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=16 Succeeded, w=16\",\"Add (0,1)=21 Succeeded, w=37\",\"Add (1,2)=52 Succeeded, w=89\",\"Add (1,3)=57 Failed, w=89\",\"Add (0,2)=86 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,86],[1,2,52],[1,3,57],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,1)=21,(1,2)=52,(1,3)=57,(0,2)=86]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=37\",\"Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=89\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=89\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,21],[0,2,86],[1,2,52],[1,3,57],[2,3,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=16,(0,1)=21,(1,2)=52,(1,3)=57,(0,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=52 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,25],[0,2,76],[0,4,74],[0,5,0],[1,2,58],[3,4,97],[3,5,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,76],[0,4,74],[0,5,0],[1,2,58],[3,4,97],[3,5,26]]}",
"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\":[[0,1,25],[0,2,76],[0,4,74],[0,5,0],[1,2,58],[3,4,97],[3,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,76],[0,4,74],[0,5,0],[1,2,58],[3,4,97],[3,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (0,1)=25, w=25\",\"Add (3,5)=26, w=51\",\"Add (1,2)=58, w=109\",\"Add (0,4)=74, 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\":[[0,1,25],[0,2,76],[0,4,74],[0,5,0],[1,2,58],[3,4,97],[3,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (0,1)=25 Succeeded, w=25\",\"Add (3,5)=26 Succeeded, w=51\",\"Add (1,2)=58 Succeeded, w=109\",\"Add (0,4)=74 Succeeded, w=183\",\"Add (0,2)=76 Failed, w=183\",\"Add (3,4)=97 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,76],[0,4,74],[0,5,0],[1,2,58],[3,4,97],[3,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,1)=25,(3,5)=26,(1,2)=58,(0,4)=74,(0,2)=76,(3,4)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=25\",\"Find(3)=3, Find(5)=0, Add (3,5)=26 Succeeded, w=51\",\"Find(1)=0, Find(2)=2, Add (1,2)=58 Succeeded, w=109\",\"Find(0)=0, Find(4)=4, Add (0,4)=74 Succeeded, w=183\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=183\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,25],[0,2,76],[0,4,74],[0,5,0],[1,2,58],[3,4,97],[3,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(0,1)=25,(3,5)=26,(1,2)=58,(0,4)=74,(0,2)=76,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=26 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=58 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=74 Succeeded, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=183\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,4,95],[1,2,57],[2,3,8],[2,4,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,95],[1,2,57],[2,3,8],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,95],[1,2,57],[2,3,8],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,95],[1,2,57],[2,3,8],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,1)=39, w=47\",\"Add (1,2)=57, w=104\",\"Add (2,4)=62, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,95],[1,2,57],[2,3,8],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,1)=39 Succeeded, w=47\",\"Add (1,2)=57 Succeeded, w=104\",\"Add (2,4)=62 Succeeded, w=166\",\"Add (0,4)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,95],[1,2,57],[2,3,8],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,1)=39,(1,2)=57,(2,4)=62,(0,4)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=47\",\"Find(1)=0, Find(2)=2, Add (1,2)=57 Succeeded, w=104\",\"Find(2)=0, Find(4)=4, Add (2,4)=62 Succeeded, w=166\",\"Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,4,95],[1,2,57],[2,3,8],[2,4,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,1)=39,(1,2)=57,(2,4)=62,(0,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=57 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=62 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
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