graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
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| messages_l5
listlengths 2
2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,68],[0,3,15],[0,4,82],[0,5,74],[1,2,65],[1,3,20],[1,4,91],[1,5,78],[2,3,79],[2,4,90],[3,4,26],[3,5,87],[4,5,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,15],[0,4,82],[0,5,74],[1,2,65],[1,3,20],[1,4,91],[1,5,78],[2,3,79],[2,4,90],[3,4,26],[3,5,87],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,15],[0,4,82],[0,5,74],[1,2,65],[1,3,20],[1,4,91],[1,5,78],[2,3,79],[2,4,90],[3,4,26],[3,5,87],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (4,5)\",\"Add (1,2)\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,15],[0,4,82],[0,5,74],[1,2,65],[1,3,20],[1,4,91],[1,5,78],[2,3,79],[2,4,90],[3,4,26],[3,5,87],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15, w=15\",\"Add (1,3)=20, w=35\",\"Add (3,4)=26, w=61\",\"Add (4,5)=48, w=109\",\"Add (1,2)=65, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,15],[0,4,82],[0,5,74],[1,2,65],[1,3,20],[1,4,91],[1,5,78],[2,3,79],[2,4,90],[3,4,26],[3,5,87],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=15 Succeeded, w=15\",\"Add (1,3)=20 Succeeded, w=35\",\"Add (3,4)=26 Succeeded, w=61\",\"Add (4,5)=48 Succeeded, w=109\",\"Add (1,2)=65 Succeeded, w=174\",\"Add (0,1)=68 Failed, w=174\",\"Add (0,5)=74 Failed, w=174\",\"Add (1,5)=78 Failed, w=174\",\"Add (2,3)=79 Failed, w=174\",\"Add (0,4)=82 Failed, w=174\",\"Add (3,5)=87 Failed, w=174\",\"Add (2,4)=90 Failed, w=174\",\"Add (1,4)=91 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,15],[0,4,82],[0,5,74],[1,2,65],[1,3,20],[1,4,91],[1,5,78],[2,3,79],[2,4,90],[3,4,26],[3,5,87],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(1,3)=20,(3,4)=26,(4,5)=48,(1,2)=65,(0,1)=68,(0,5)=74,(1,5)=78,(2,3)=79,(0,4)=82,(3,5)=87,(2,4)=90,(1,4)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=0, Add (1,3)=20 Succeeded, w=35\",\"Find(3)=0, Find(4)=4, Add (3,4)=26 Succeeded, w=61\",\"Find(4)=0, Find(5)=5, Add (4,5)=48 Succeeded, w=109\",\"Find(1)=0, Find(2)=2, Add (1,2)=65 Succeeded, w=174\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=174\",\"Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=174\",\"Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=174\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=174\",\"Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=174\",\"Find(3)=0, Find(5)=0, Add (3,5)=87 Failed, w=174\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=174\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,68],[0,3,15],[0,4,82],[0,5,74],[1,2,65],[1,3,20],[1,4,91],[1,5,78],[2,3,79],[2,4,90],[3,4,26],[3,5,87],[4,5,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=15,(1,3)=20,(3,4)=26,(4,5)=48,(1,2)=65,(0,1)=68,(0,5)=74,(1,5)=78,(2,3)=79,(0,4)=82,(3,5)=87,(2,4)=90,(1,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=20 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=26 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=48 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=65 Succeeded, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=74 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=78 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=82 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=87 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=174\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=174\"],\"Answer\":174}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,2],[0,2,49],[0,3,49],[1,2,58],[1,3,96],[2,3,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,49],[0,3,49],[1,2,58],[1,3,96],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,49],[0,3,49],[1,2,58],[1,3,96],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,49],[0,3,49],[1,2,58],[1,3,96],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (2,3)=38, w=40\",\"Add (0,2)=49, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,49],[0,3,49],[1,2,58],[1,3,96],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (2,3)=38 Succeeded, w=40\",\"Add (0,2)=49 Succeeded, w=89\",\"Add (0,3)=49 Failed, w=89\",\"Add (1,2)=58 Failed, w=89\",\"Add (1,3)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,49],[0,3,49],[1,2,58],[1,3,96],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,3)=38,(0,2)=49,(0,3)=49,(1,2)=58,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=3, Add (2,3)=38 Succeeded, w=40\",\"Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=89\",\"Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=89\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=89\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,2],[0,2,49],[0,3,49],[1,2,58],[1,3,96],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(2,3)=38,(0,2)=49,(0,3)=49,(1,2)=58,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=38 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=49 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=49 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,1],[0,4,77],[0,6,78],[1,2,70],[1,3,28],[1,4,81],[1,5,55],[1,6,70],[2,3,89],[2,5,59],[3,6,50],[4,5,61],[5,6,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,1],[0,4,77],[0,6,78],[1,2,70],[1,3,28],[1,4,81],[1,5,55],[1,6,70],[2,3,89],[2,5,59],[3,6,50],[4,5,61],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,1],[0,4,77],[0,6,78],[1,2,70],[1,3,28],[1,4,81],[1,5,55],[1,6,70],[2,3,89],[2,5,59],[3,6,50],[4,5,61],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (4,5)\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,1],[0,4,77],[0,6,78],[1,2,70],[1,3,28],[1,4,81],[1,5,55],[1,6,70],[2,3,89],[2,5,59],[3,6,50],[4,5,61],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (1,3)=28, w=29\",\"Add (3,6)=50, w=79\",\"Add (1,5)=55, w=134\",\"Add (2,5)=59, w=193\",\"Add (4,5)=61, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,1],[0,4,77],[0,6,78],[1,2,70],[1,3,28],[1,4,81],[1,5,55],[1,6,70],[2,3,89],[2,5,59],[3,6,50],[4,5,61],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (1,3)=28 Succeeded, w=29\",\"Add (3,6)=50 Succeeded, w=79\",\"Add (1,5)=55 Succeeded, w=134\",\"Add (2,5)=59 Succeeded, w=193\",\"Add (4,5)=61 Succeeded, w=254\",\"Add (1,2)=70 Failed, w=254\",\"Add (1,6)=70 Failed, w=254\",\"Add (5,6)=74 Failed, w=254\",\"Add (0,4)=77 Failed, w=254\",\"Add (0,6)=78 Failed, w=254\",\"Add (1,4)=81 Failed, w=254\",\"Add (2,3)=89 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,1],[0,4,77],[0,6,78],[1,2,70],[1,3,28],[1,4,81],[1,5,55],[1,6,70],[2,3,89],[2,5,59],[3,6,50],[4,5,61],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=28,(3,6)=50,(1,5)=55,(2,5)=59,(4,5)=61,(1,2)=70,(1,6)=70,(5,6)=74,(0,4)=77,(0,6)=78,(1,4)=81,(2,3)=89]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=0, Add (1,3)=28 Succeeded, w=29\",\"Find(3)=0, Find(6)=6, Add (3,6)=50 Succeeded, w=79\",\"Find(1)=0, Find(5)=5, Add (1,5)=55 Succeeded, w=134\",\"Find(2)=2, Find(5)=0, Add (2,5)=59 Succeeded, w=193\",\"Find(4)=4, Find(5)=0, Add (4,5)=61 Succeeded, w=254\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=254\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=254\",\"Find(5)=0, Find(6)=0, Add (5,6)=74 Failed, w=254\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=254\",\"Find(0)=0, Find(6)=0, Add (0,6)=78 Failed, w=254\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=254\",\"Find(2)=0, Find(3)=0, Add (2,3)=89 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,1],[0,4,77],[0,6,78],[1,2,70],[1,3,28],[1,4,81],[1,5,55],[1,6,70],[2,3,89],[2,5,59],[3,6,50],[4,5,61],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,3)=28,(3,6)=50,(1,5)=55,(2,5)=59,(4,5)=61,(1,2)=70,(1,6)=70,(5,6)=74,(0,4)=77,(0,6)=78,(1,4)=81,(2,3)=89]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=28 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=50 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(5)=5, Add (1,5)=55 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=2, Find(5)=0, Add (2,5)=59 Succeeded, w=193\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(5)=0, Add (4,5)=61 Succeeded, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=254\",\"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=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=74 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=78 Failed, w=254\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=254\",\"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=254\"],\"Answer\":254}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,4,35],[0,5,15],[0,6,11],[0,7,30],[1,2,52],[1,4,17],[1,5,63],[1,7,34],[2,3,66],[2,4,78],[2,5,26],[2,6,18],[2,7,67],[3,4,62],[3,6,94],[3,7,96],[4,6,14],[4,7,14],[5,6,98],[5,7,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,4,35],[0,5,15],[0,6,11],[0,7,30],[1,2,52],[1,4,17],[1,5,63],[1,7,34],[2,3,66],[2,4,78],[2,5,26],[2,6,18],[2,7,67],[3,4,62],[3,6,94],[3,7,96],[4,6,14],[4,7,14],[5,6,98],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,4,35],[0,5,15],[0,6,11],[0,7,30],[1,2,52],[1,4,17],[1,5,63],[1,7,34],[2,3,66],[2,4,78],[2,5,26],[2,6,18],[2,7,67],[3,4,62],[3,6,94],[3,7,96],[4,6,14],[4,7,14],[5,6,98],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (4,7)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (3,4)\"],\"Answer\":148}",
"role": "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],[0,4,35],[0,5,15],[0,6,11],[0,7,30],[1,2,52],[1,4,17],[1,5,63],[1,7,34],[2,3,66],[2,4,78],[2,5,26],[2,6,18],[2,7,67],[3,4,62],[3,6,94],[3,7,96],[4,6,14],[4,7,14],[5,6,98],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=11, w=11\",\"Add (5,7)=12, w=23\",\"Add (4,6)=14, w=37\",\"Add (4,7)=14, w=51\",\"Add (1,4)=17, w=68\",\"Add (2,6)=18, w=86\",\"Add (3,4)=62, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,4,35],[0,5,15],[0,6,11],[0,7,30],[1,2,52],[1,4,17],[1,5,63],[1,7,34],[2,3,66],[2,4,78],[2,5,26],[2,6,18],[2,7,67],[3,4,62],[3,6,94],[3,7,96],[4,6,14],[4,7,14],[5,6,98],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=11 Succeeded, w=11\",\"Add (5,7)=12 Succeeded, w=23\",\"Add (4,6)=14 Succeeded, w=37\",\"Add (4,7)=14 Succeeded, w=51\",\"Add (0,5)=15 Failed, w=51\",\"Add (1,4)=17 Succeeded, w=68\",\"Add (2,6)=18 Succeeded, w=86\",\"Add (2,5)=26 Failed, w=86\",\"Add (0,7)=30 Failed, w=86\",\"Add (1,7)=34 Failed, w=86\",\"Add (0,4)=35 Failed, w=86\",\"Add (1,2)=52 Failed, w=86\",\"Add (3,4)=62 Succeeded, w=148\",\"Add (1,5)=63 Failed, w=148\",\"Add (2,3)=66 Failed, w=148\",\"Add (2,7)=67 Failed, w=148\",\"Add (0,1)=76 Failed, w=148\",\"Add (2,4)=78 Failed, w=148\",\"Add (3,6)=94 Failed, w=148\",\"Add (3,7)=96 Failed, w=148\",\"Add (5,6)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,4,35],[0,5,15],[0,6,11],[0,7,30],[1,2,52],[1,4,17],[1,5,63],[1,7,34],[2,3,66],[2,4,78],[2,5,26],[2,6,18],[2,7,67],[3,4,62],[3,6,94],[3,7,96],[4,6,14],[4,7,14],[5,6,98],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=11,(5,7)=12,(4,6)=14,(4,7)=14,(0,5)=15,(1,4)=17,(2,6)=18,(2,5)=26,(0,7)=30,(1,7)=34,(0,4)=35,(1,2)=52,(3,4)=62,(1,5)=63,(2,3)=66,(2,7)=67,(0,1)=76,(2,4)=78,(3,6)=94,(3,7)=96,(5,6)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=11 Succeeded, w=11\",\"Find(5)=5, Find(7)=7, Add (5,7)=12 Succeeded, w=23\",\"Find(4)=4, Find(6)=0, Add (4,6)=14 Succeeded, w=37\",\"Find(4)=0, Find(7)=5, Add (4,7)=14 Succeeded, w=51\",\"Find(0)=0, Find(5)=0, Add (0,5)=15 Failed, w=51\",\"Find(1)=1, Find(4)=0, Add (1,4)=17 Succeeded, w=68\",\"Find(2)=2, Find(6)=0, Add (2,6)=18 Succeeded, w=86\",\"Find(2)=0, Find(5)=0, Add (2,5)=26 Failed, w=86\",\"Find(0)=0, Find(7)=0, Add (0,7)=30 Failed, w=86\",\"Find(1)=0, Find(7)=0, Add (1,7)=34 Failed, w=86\",\"Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=86\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=86\",\"Find(3)=3, Find(4)=0, Add (3,4)=62 Succeeded, w=148\",\"Find(1)=0, Find(5)=0, Add (1,5)=63 Failed, w=148\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=148\",\"Find(2)=0, Find(7)=0, Add (2,7)=67 Failed, w=148\",\"Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=148\",\"Find(2)=0, Find(4)=0, Add (2,4)=78 Failed, w=148\",\"Find(3)=0, Find(6)=0, Add (3,6)=94 Failed, w=148\",\"Find(3)=0, Find(7)=0, Add (3,7)=96 Failed, w=148\",\"Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,4,35],[0,5,15],[0,6,11],[0,7,30],[1,2,52],[1,4,17],[1,5,63],[1,7,34],[2,3,66],[2,4,78],[2,5,26],[2,6,18],[2,7,67],[3,4,62],[3,6,94],[3,7,96],[4,6,14],[4,7,14],[5,6,98],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=11,(5,7)=12,(4,6)=14,(4,7)=14,(0,5)=15,(1,4)=17,(2,6)=18,(2,5)=26,(0,7)=30,(1,7)=34,(0,4)=35,(1,2)=52,(3,4)=62,(1,5)=63,(2,3)=66,(2,7)=67,(0,1)=76,(2,4)=78,(3,6)=94,(3,7)=96,(5,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 5}, Find(4)=4, Find(6)=0, Add (4,6)=14 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 5}, Find(4)=0, Find(7)=5, Add (4,7)=14 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(5)=0, Add (0,5)=15 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 5}, Find(1)=1, Find(4)=0, Add (1,4)=17 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 5}, Find(2)=2, Find(6)=0, Add (2,6)=18 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 5}, Find(2)=0, Find(5)=0, Add (2,5)=26 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=30 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=34 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=3, Find(4)=0, Add (3,4)=62 Succeeded, w=148\",\"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)=63 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=67 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=148\",\"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)=78 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=94 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=96 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=148\"],\"Answer\":148}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,92],[0,2,58],[0,3,12],[0,4,59],[0,5,29],[0,6,30],[1,2,66],[1,3,21],[1,4,12],[1,5,14],[1,6,95],[2,3,16],[2,4,48],[2,5,87],[2,6,56],[3,4,78],[3,5,97],[3,6,48],[4,5,33],[4,6,39],[5,6,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,58],[0,3,12],[0,4,59],[0,5,29],[0,6,30],[1,2,66],[1,3,21],[1,4,12],[1,5,14],[1,6,95],[2,3,16],[2,4,48],[2,5,87],[2,6,56],[3,4,78],[3,5,97],[3,6,48],[4,5,33],[4,6,39],[5,6,31]]}",
"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\":[[0,1,92],[0,2,58],[0,3,12],[0,4,59],[0,5,29],[0,6,30],[1,2,66],[1,3,21],[1,4,12],[1,5,14],[1,6,95],[2,3,16],[2,4,48],[2,5,87],[2,6,56],[3,4,78],[3,5,97],[3,6,48],[4,5,33],[4,6,39],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,6)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,58],[0,3,12],[0,4,59],[0,5,29],[0,6,30],[1,2,66],[1,3,21],[1,4,12],[1,5,14],[1,6,95],[2,3,16],[2,4,48],[2,5,87],[2,6,56],[3,4,78],[3,5,97],[3,6,48],[4,5,33],[4,6,39],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12, w=12\",\"Add (1,4)=12, w=24\",\"Add (1,5)=14, w=38\",\"Add (2,3)=16, w=54\",\"Add (1,3)=21, w=75\",\"Add (0,6)=30, 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\":[[0,1,92],[0,2,58],[0,3,12],[0,4,59],[0,5,29],[0,6,30],[1,2,66],[1,3,21],[1,4,12],[1,5,14],[1,6,95],[2,3,16],[2,4,48],[2,5,87],[2,6,56],[3,4,78],[3,5,97],[3,6,48],[4,5,33],[4,6,39],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=12 Succeeded, w=12\",\"Add (1,4)=12 Succeeded, w=24\",\"Add (1,5)=14 Succeeded, w=38\",\"Add (2,3)=16 Succeeded, w=54\",\"Add (1,3)=21 Succeeded, w=75\",\"Add (0,5)=29 Failed, w=75\",\"Add (0,6)=30 Succeeded, w=105\",\"Add (5,6)=31 Failed, w=105\",\"Add (4,5)=33 Failed, w=105\",\"Add (4,6)=39 Failed, w=105\",\"Add (2,4)=48 Failed, w=105\",\"Add (3,6)=48 Failed, w=105\",\"Add (2,6)=56 Failed, w=105\",\"Add (0,2)=58 Failed, w=105\",\"Add (0,4)=59 Failed, w=105\",\"Add (1,2)=66 Failed, w=105\",\"Add (3,4)=78 Failed, w=105\",\"Add (2,5)=87 Failed, w=105\",\"Add (0,1)=92 Failed, w=105\",\"Add (1,6)=95 Failed, w=105\",\"Add (3,5)=97 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\":[[0,1,92],[0,2,58],[0,3,12],[0,4,59],[0,5,29],[0,6,30],[1,2,66],[1,3,21],[1,4,12],[1,5,14],[1,6,95],[2,3,16],[2,4,48],[2,5,87],[2,6,56],[3,4,78],[3,5,97],[3,6,48],[4,5,33],[4,6,39],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(1,4)=12,(1,5)=14,(2,3)=16,(1,3)=21,(0,5)=29,(0,6)=30,(5,6)=31,(4,5)=33,(4,6)=39,(2,4)=48,(3,6)=48,(2,6)=56,(0,2)=58,(0,4)=59,(1,2)=66,(3,4)=78,(2,5)=87,(0,1)=92,(1,6)=95,(3,5)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=24\",\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=38\",\"Find(2)=2, Find(3)=0, Add (2,3)=16 Succeeded, w=54\",\"Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=75\",\"Find(0)=1, Find(5)=1, Add (0,5)=29 Failed, w=75\",\"Find(0)=1, Find(6)=6, Add (0,6)=30 Succeeded, w=105\",\"Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=105\",\"Find(4)=1, Find(5)=1, Add (4,5)=33 Failed, w=105\",\"Find(4)=1, Find(6)=1, Add (4,6)=39 Failed, w=105\",\"Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=105\",\"Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=105\",\"Find(2)=1, Find(6)=1, Add (2,6)=56 Failed, w=105\",\"Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=105\",\"Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=105\",\"Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=105\",\"Find(3)=1, Find(4)=1, Add (3,4)=78 Failed, w=105\",\"Find(2)=1, Find(5)=1, Add (2,5)=87 Failed, w=105\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=105\",\"Find(1)=1, Find(6)=1, Add (1,6)=95 Failed, w=105\",\"Find(3)=1, Find(5)=1, Add (3,5)=97 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\":[[0,1,92],[0,2,58],[0,3,12],[0,4,59],[0,5,29],[0,6,30],[1,2,66],[1,3,21],[1,4,12],[1,5,14],[1,6,95],[2,3,16],[2,4,48],[2,5,87],[2,6,56],[3,4,78],[3,5,97],[3,6,48],[4,5,33],[4,6,39],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=12,(1,4)=12,(1,5)=14,(2,3)=16,(1,3)=21,(0,5)=29,(0,6)=30,(5,6)=31,(4,5)=33,(4,6)=39,(2,4)=48,(3,6)=48,(2,6)=56,(0,2)=58,(0,4)=59,(1,2)=66,(3,4)=78,(2,5)=87,(0,1)=92,(1,6)=95,(3,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=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)=12 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 6}, Find(2)=2, Find(3)=0, Add (2,3)=16 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=21 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(5)=1, Add (0,5)=29 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=6, Add (0,6)=30 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=31 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=33 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=39 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=48 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=48 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=56 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=59 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=78 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=87 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=95 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,67],[0,2,49],[0,3,40],[0,4,47],[0,7,4],[1,2,2],[1,4,70],[1,5,4],[1,6,78],[1,7,50],[2,4,0],[2,5,73],[2,6,56],[2,7,84],[3,4,80],[3,5,55],[4,5,94],[4,6,96],[4,7,11],[5,6,26],[5,7,2],[6,7,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,49],[0,3,40],[0,4,47],[0,7,4],[1,2,2],[1,4,70],[1,5,4],[1,6,78],[1,7,50],[2,4,0],[2,5,73],[2,6,56],[2,7,84],[3,4,80],[3,5,55],[4,5,94],[4,6,96],[4,7,11],[5,6,26],[5,7,2],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,49],[0,3,40],[0,4,47],[0,7,4],[1,2,2],[1,4,70],[1,5,4],[1,6,78],[1,7,50],[2,4,0],[2,5,73],[2,6,56],[2,7,84],[3,4,80],[3,5,55],[4,5,94],[4,6,96],[4,7,11],[5,6,26],[5,7,2],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (5,7)\",\"Add (0,7)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (0,3)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,49],[0,3,40],[0,4,47],[0,7,4],[1,2,2],[1,4,70],[1,5,4],[1,6,78],[1,7,50],[2,4,0],[2,5,73],[2,6,56],[2,7,84],[3,4,80],[3,5,55],[4,5,94],[4,6,96],[4,7,11],[5,6,26],[5,7,2],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (1,2)=2, w=2\",\"Add (5,7)=2, w=4\",\"Add (0,7)=4, w=8\",\"Add (1,5)=4, w=12\",\"Add (5,6)=26, w=38\",\"Add (0,3)=40, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,49],[0,3,40],[0,4,47],[0,7,4],[1,2,2],[1,4,70],[1,5,4],[1,6,78],[1,7,50],[2,4,0],[2,5,73],[2,6,56],[2,7,84],[3,4,80],[3,5,55],[4,5,94],[4,6,96],[4,7,11],[5,6,26],[5,7,2],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (1,2)=2 Succeeded, w=2\",\"Add (5,7)=2 Succeeded, w=4\",\"Add (0,7)=4 Succeeded, w=8\",\"Add (1,5)=4 Succeeded, w=12\",\"Add (4,7)=11 Failed, w=12\",\"Add (5,6)=26 Succeeded, w=38\",\"Add (0,3)=40 Succeeded, w=78\",\"Add (6,7)=44 Failed, w=78\",\"Add (0,4)=47 Failed, w=78\",\"Add (0,2)=49 Failed, w=78\",\"Add (1,7)=50 Failed, w=78\",\"Add (3,5)=55 Failed, w=78\",\"Add (2,6)=56 Failed, w=78\",\"Add (0,1)=67 Failed, w=78\",\"Add (1,4)=70 Failed, w=78\",\"Add (2,5)=73 Failed, w=78\",\"Add (1,6)=78 Failed, w=78\",\"Add (3,4)=80 Failed, w=78\",\"Add (2,7)=84 Failed, w=78\",\"Add (4,5)=94 Failed, w=78\",\"Add (4,6)=96 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,49],[0,3,40],[0,4,47],[0,7,4],[1,2,2],[1,4,70],[1,5,4],[1,6,78],[1,7,50],[2,4,0],[2,5,73],[2,6,56],[2,7,84],[3,4,80],[3,5,55],[4,5,94],[4,6,96],[4,7,11],[5,6,26],[5,7,2],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,2)=2,(5,7)=2,(0,7)=4,(1,5)=4,(4,7)=11,(5,6)=26,(0,3)=40,(6,7)=44,(0,4)=47,(0,2)=49,(1,7)=50,(3,5)=55,(2,6)=56,(0,1)=67,(1,4)=70,(2,5)=73,(1,6)=78,(3,4)=80,(2,7)=84,(4,5)=94,(4,6)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=4\",\"Find(0)=0, Find(7)=5, Add (0,7)=4 Succeeded, w=8\",\"Find(1)=2, Find(5)=5, Add (1,5)=4 Succeeded, w=12\",\"Find(4)=2, Find(7)=2, Add (4,7)=11 Failed, w=12\",\"Find(5)=2, Find(6)=6, Add (5,6)=26 Succeeded, w=38\",\"Find(0)=2, Find(3)=3, Add (0,3)=40 Succeeded, w=78\",\"Find(6)=2, Find(7)=2, Add (6,7)=44 Failed, w=78\",\"Find(0)=2, Find(4)=2, Add (0,4)=47 Failed, w=78\",\"Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=78\",\"Find(1)=2, Find(7)=2, Add (1,7)=50 Failed, w=78\",\"Find(3)=2, Find(5)=2, Add (3,5)=55 Failed, w=78\",\"Find(2)=2, Find(6)=2, Add (2,6)=56 Failed, w=78\",\"Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=78\",\"Find(1)=2, Find(4)=2, Add (1,4)=70 Failed, w=78\",\"Find(2)=2, Find(5)=2, Add (2,5)=73 Failed, w=78\",\"Find(1)=2, Find(6)=2, Add (1,6)=78 Failed, w=78\",\"Find(3)=2, Find(4)=2, Add (3,4)=80 Failed, w=78\",\"Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=78\",\"Find(4)=2, Find(5)=2, Add (4,5)=94 Failed, w=78\",\"Find(4)=2, Find(6)=2, Add (4,6)=96 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,67],[0,2,49],[0,3,40],[0,4,47],[0,7,4],[1,2,2],[1,4,70],[1,5,4],[1,6,78],[1,7,50],[2,4,0],[2,5,73],[2,6,56],[2,7,84],[3,4,80],[3,5,55],[4,5,94],[4,6,96],[4,7,11],[5,6,26],[5,7,2],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(1,2)=2,(5,7)=2,(0,7)=4,(1,5)=4,(4,7)=11,(5,6)=26,(0,3)=40,(6,7)=44,(0,4)=47,(0,2)=49,(1,7)=50,(3,5)=55,(2,6)=56,(0,1)=67,(1,4)=70,(2,5)=73,(1,6)=78,(3,4)=80,(2,7)=84,(4,5)=94,(4,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=2 Succeeded, w=4\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=4 Succeeded, w=8\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 5}, Find(1)=2, Find(5)=5, Add (1,5)=4 Succeeded, w=12\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=11 Failed, w=12\",\"Parent: {0: 5, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=6, Add (5,6)=26 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=3, Add (0,3)=40 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=44 Failed, w=78\",\"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)=47 Failed, w=78\",\"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)=49 Failed, w=78\",\"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)=50 Failed, w=78\",\"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)=55 Failed, w=78\",\"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)=56 Failed, w=78\",\"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)=67 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=70 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=73 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=78 Failed, w=78\",\"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)=80 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=78\",\"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)=94 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=96 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,74],[0,2,44],[0,3,67],[0,4,27],[0,5,77],[0,6,21],[1,2,21],[1,3,100],[1,4,62],[1,5,8],[1,6,85],[2,3,64],[2,4,34],[2,5,8],[2,6,65],[3,4,44],[3,5,96],[3,6,42],[4,5,94],[4,6,59],[5,6,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,44],[0,3,67],[0,4,27],[0,5,77],[0,6,21],[1,2,21],[1,3,100],[1,4,62],[1,5,8],[1,6,85],[2,3,64],[2,4,34],[2,5,8],[2,6,65],[3,4,44],[3,5,96],[3,6,42],[4,5,94],[4,6,59],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,44],[0,3,67],[0,4,27],[0,5,77],[0,6,21],[1,2,21],[1,3,100],[1,4,62],[1,5,8],[1,6,85],[2,3,64],[2,4,34],[2,5,8],[2,6,65],[3,4,44],[3,5,96],[3,6,42],[4,5,94],[4,6,59],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,5)\",\"Add (0,6)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (3,6)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,44],[0,3,67],[0,4,27],[0,5,77],[0,6,21],[1,2,21],[1,3,100],[1,4,62],[1,5,8],[1,6,85],[2,3,64],[2,4,34],[2,5,8],[2,6,65],[3,4,44],[3,5,96],[3,6,42],[4,5,94],[4,6,59],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8, w=8\",\"Add (2,5)=8, w=16\",\"Add (0,6)=21, w=37\",\"Add (0,4)=27, w=64\",\"Add (2,4)=34, w=98\",\"Add (3,6)=42, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,44],[0,3,67],[0,4,27],[0,5,77],[0,6,21],[1,2,21],[1,3,100],[1,4,62],[1,5,8],[1,6,85],[2,3,64],[2,4,34],[2,5,8],[2,6,65],[3,4,44],[3,5,96],[3,6,42],[4,5,94],[4,6,59],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8 Succeeded, w=8\",\"Add (2,5)=8 Succeeded, w=16\",\"Add (0,6)=21 Succeeded, w=37\",\"Add (1,2)=21 Failed, w=37\",\"Add (0,4)=27 Succeeded, w=64\",\"Add (2,4)=34 Succeeded, w=98\",\"Add (3,6)=42 Succeeded, w=140\",\"Add (0,2)=44 Failed, w=140\",\"Add (3,4)=44 Failed, w=140\",\"Add (5,6)=51 Failed, w=140\",\"Add (4,6)=59 Failed, w=140\",\"Add (1,4)=62 Failed, w=140\",\"Add (2,3)=64 Failed, w=140\",\"Add (2,6)=65 Failed, w=140\",\"Add (0,3)=67 Failed, w=140\",\"Add (0,1)=74 Failed, w=140\",\"Add (0,5)=77 Failed, w=140\",\"Add (1,6)=85 Failed, w=140\",\"Add (4,5)=94 Failed, w=140\",\"Add (3,5)=96 Failed, w=140\",\"Add (1,3)=100 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,44],[0,3,67],[0,4,27],[0,5,77],[0,6,21],[1,2,21],[1,3,100],[1,4,62],[1,5,8],[1,6,85],[2,3,64],[2,4,34],[2,5,8],[2,6,65],[3,4,44],[3,5,96],[3,6,42],[4,5,94],[4,6,59],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(2,5)=8,(0,6)=21,(1,2)=21,(0,4)=27,(2,4)=34,(3,6)=42,(0,2)=44,(3,4)=44,(5,6)=51,(4,6)=59,(1,4)=62,(2,3)=64,(2,6)=65,(0,3)=67,(0,1)=74,(0,5)=77,(1,6)=85,(4,5)=94,(3,5)=96,(1,3)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Find(2)=2, Find(5)=1, Add (2,5)=8 Succeeded, w=16\",\"Find(0)=0, Find(6)=6, Add (0,6)=21 Succeeded, w=37\",\"Find(1)=1, Find(2)=1, Add (1,2)=21 Failed, w=37\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=64\",\"Find(2)=1, Find(4)=0, Add (2,4)=34 Succeeded, w=98\",\"Find(3)=3, Find(6)=1, Add (3,6)=42 Succeeded, w=140\",\"Find(0)=1, Find(2)=1, Add (0,2)=44 Failed, w=140\",\"Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=140\",\"Find(5)=1, Find(6)=1, Add (5,6)=51 Failed, w=140\",\"Find(4)=1, Find(6)=1, Add (4,6)=59 Failed, w=140\",\"Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=140\",\"Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=140\",\"Find(2)=1, Find(6)=1, Add (2,6)=65 Failed, w=140\",\"Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=140\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=140\",\"Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=140\",\"Find(1)=1, Find(6)=1, Add (1,6)=85 Failed, w=140\",\"Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=140\",\"Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=140\",\"Find(1)=1, Find(3)=1, Add (1,3)=100 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,44],[0,3,67],[0,4,27],[0,5,77],[0,6,21],[1,2,21],[1,3,100],[1,4,62],[1,5,8],[1,6,85],[2,3,64],[2,4,34],[2,5,8],[2,6,65],[3,4,44],[3,5,96],[3,6,42],[4,5,94],[4,6,59],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(2,5)=8,(0,6)=21,(1,2)=21,(0,4)=27,(2,4)=34,(3,6)=42,(0,2)=44,(3,4)=44,(5,6)=51,(4,6)=59,(1,4)=62,(2,3)=64,(2,6)=65,(0,3)=67,(0,1)=74,(0,5)=77,(1,6)=85,(4,5)=94,(3,5)=96,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(2)=2, Find(5)=1, Add (2,5)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=21 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 0}, Find(1)=1, Find(2)=1, Add (1,2)=21 Failed, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 0}, Find(2)=1, Find(4)=0, Add (2,4)=34 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=42 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=44 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=51 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=59 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=62 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=64 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=65 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=67 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=140\",\"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=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=85 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=96 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=100 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,97],[0,2,97],[0,3,23],[0,4,19],[0,5,85],[0,6,24],[0,7,28],[1,2,58],[1,3,67],[1,4,71],[1,5,18],[1,6,100],[1,7,2],[2,3,21],[2,4,93],[2,5,14],[2,6,30],[2,7,49],[3,4,4],[3,5,79],[3,6,25],[3,7,13],[4,5,65],[4,6,80],[4,7,88],[5,6,87],[5,7,74],[6,7,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,97],[0,3,23],[0,4,19],[0,5,85],[0,6,24],[0,7,28],[1,2,58],[1,3,67],[1,4,71],[1,5,18],[1,6,100],[1,7,2],[2,3,21],[2,4,93],[2,5,14],[2,6,30],[2,7,49],[3,4,4],[3,5,79],[3,6,25],[3,7,13],[4,5,65],[4,6,80],[4,7,88],[5,6,87],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,97],[0,3,23],[0,4,19],[0,5,85],[0,6,24],[0,7,28],[1,2,58],[1,3,67],[1,4,71],[1,5,18],[1,6,100],[1,7,2],[2,3,21],[2,4,93],[2,5,14],[2,6,30],[2,7,49],[3,4,4],[3,5,79],[3,6,25],[3,7,13],[4,5,65],[4,6,80],[4,7,88],[5,6,87],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (6,7)\",\"Add (3,4)\",\"Add (3,7)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,97],[0,3,23],[0,4,19],[0,5,85],[0,6,24],[0,7,28],[1,2,58],[1,3,67],[1,4,71],[1,5,18],[1,6,100],[1,7,2],[2,3,21],[2,4,93],[2,5,14],[2,6,30],[2,7,49],[3,4,4],[3,5,79],[3,6,25],[3,7,13],[4,5,65],[4,6,80],[4,7,88],[5,6,87],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2, w=2\",\"Add (6,7)=2, w=4\",\"Add (3,4)=4, w=8\",\"Add (3,7)=13, w=21\",\"Add (2,5)=14, w=35\",\"Add (1,5)=18, w=53\",\"Add (0,4)=19, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,97],[0,3,23],[0,4,19],[0,5,85],[0,6,24],[0,7,28],[1,2,58],[1,3,67],[1,4,71],[1,5,18],[1,6,100],[1,7,2],[2,3,21],[2,4,93],[2,5,14],[2,6,30],[2,7,49],[3,4,4],[3,5,79],[3,6,25],[3,7,13],[4,5,65],[4,6,80],[4,7,88],[5,6,87],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=2 Succeeded, w=2\",\"Add (6,7)=2 Succeeded, w=4\",\"Add (3,4)=4 Succeeded, w=8\",\"Add (3,7)=13 Succeeded, w=21\",\"Add (2,5)=14 Succeeded, w=35\",\"Add (1,5)=18 Succeeded, w=53\",\"Add (0,4)=19 Succeeded, w=72\",\"Add (2,3)=21 Failed, w=72\",\"Add (0,3)=23 Failed, w=72\",\"Add (0,6)=24 Failed, w=72\",\"Add (3,6)=25 Failed, w=72\",\"Add (0,7)=28 Failed, w=72\",\"Add (2,6)=30 Failed, w=72\",\"Add (2,7)=49 Failed, w=72\",\"Add (1,2)=58 Failed, w=72\",\"Add (4,5)=65 Failed, w=72\",\"Add (1,3)=67 Failed, w=72\",\"Add (1,4)=71 Failed, w=72\",\"Add (5,7)=74 Failed, w=72\",\"Add (3,5)=79 Failed, w=72\",\"Add (4,6)=80 Failed, w=72\",\"Add (0,5)=85 Failed, w=72\",\"Add (5,6)=87 Failed, w=72\",\"Add (4,7)=88 Failed, w=72\",\"Add (2,4)=93 Failed, w=72\",\"Add (0,1)=97 Failed, w=72\",\"Add (0,2)=97 Failed, w=72\",\"Add (1,6)=100 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,97],[0,3,23],[0,4,19],[0,5,85],[0,6,24],[0,7,28],[1,2,58],[1,3,67],[1,4,71],[1,5,18],[1,6,100],[1,7,2],[2,3,21],[2,4,93],[2,5,14],[2,6,30],[2,7,49],[3,4,4],[3,5,79],[3,6,25],[3,7,13],[4,5,65],[4,6,80],[4,7,88],[5,6,87],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(6,7)=2,(3,4)=4,(3,7)=13,(2,5)=14,(1,5)=18,(0,4)=19,(2,3)=21,(0,3)=23,(0,6)=24,(3,6)=25,(0,7)=28,(2,6)=30,(2,7)=49,(1,2)=58,(4,5)=65,(1,3)=67,(1,4)=71,(5,7)=74,(3,5)=79,(4,6)=80,(0,5)=85,(5,6)=87,(4,7)=88,(2,4)=93,(0,1)=97,(0,2)=97,(1,6)=100]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Find(6)=6, Find(7)=1, Add (6,7)=2 Succeeded, w=4\",\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=8\",\"Find(3)=3, Find(7)=1, Add (3,7)=13 Succeeded, w=21\",\"Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=35\",\"Find(1)=3, Find(5)=2, Add (1,5)=18 Succeeded, w=53\",\"Find(0)=0, Find(4)=3, Add (0,4)=19 Succeeded, w=72\",\"Find(2)=3, Find(3)=3, Add (2,3)=21 Failed, w=72\",\"Find(0)=3, Find(3)=3, Add (0,3)=23 Failed, w=72\",\"Find(0)=3, Find(6)=3, Add (0,6)=24 Failed, w=72\",\"Find(3)=3, Find(6)=3, Add (3,6)=25 Failed, w=72\",\"Find(0)=3, Find(7)=3, Add (0,7)=28 Failed, w=72\",\"Find(2)=3, Find(6)=3, Add (2,6)=30 Failed, w=72\",\"Find(2)=3, Find(7)=3, Add (2,7)=49 Failed, w=72\",\"Find(1)=3, Find(2)=3, Add (1,2)=58 Failed, w=72\",\"Find(4)=3, Find(5)=3, Add (4,5)=65 Failed, w=72\",\"Find(1)=3, Find(3)=3, Add (1,3)=67 Failed, w=72\",\"Find(1)=3, Find(4)=3, Add (1,4)=71 Failed, w=72\",\"Find(5)=3, Find(7)=3, Add (5,7)=74 Failed, w=72\",\"Find(3)=3, Find(5)=3, Add (3,5)=79 Failed, w=72\",\"Find(4)=3, Find(6)=3, Add (4,6)=80 Failed, w=72\",\"Find(0)=3, Find(5)=3, Add (0,5)=85 Failed, w=72\",\"Find(5)=3, Find(6)=3, Add (5,6)=87 Failed, w=72\",\"Find(4)=3, Find(7)=3, Add (4,7)=88 Failed, w=72\",\"Find(2)=3, Find(4)=3, Add (2,4)=93 Failed, w=72\",\"Find(0)=3, Find(1)=3, Add (0,1)=97 Failed, w=72\",\"Find(0)=3, Find(2)=3, Add (0,2)=97 Failed, w=72\",\"Find(1)=3, Find(6)=3, Add (1,6)=100 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,97],[0,2,97],[0,3,23],[0,4,19],[0,5,85],[0,6,24],[0,7,28],[1,2,58],[1,3,67],[1,4,71],[1,5,18],[1,6,100],[1,7,2],[2,3,21],[2,4,93],[2,5,14],[2,6,30],[2,7,49],[3,4,4],[3,5,79],[3,6,25],[3,7,13],[4,5,65],[4,6,80],[4,7,88],[5,6,87],[5,7,74],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=2,(6,7)=2,(3,4)=4,(3,7)=13,(2,5)=14,(1,5)=18,(0,4)=19,(2,3)=21,(0,3)=23,(0,6)=24,(3,6)=25,(0,7)=28,(2,6)=30,(2,7)=49,(1,2)=58,(4,5)=65,(1,3)=67,(1,4)=71,(5,7)=74,(3,5)=79,(4,6)=80,(0,5)=85,(5,6)=87,(4,7)=88,(2,4)=93,(0,1)=97,(0,2)=97,(1,6)=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: 5, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 1, 7: 1}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 1, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=13 Succeeded, w=21\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1, 7: 1}, Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=35\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 1, 7: 1}, Find(1)=3, Find(5)=2, Add (1,5)=18 Succeeded, w=53\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 1, 7: 1}, Find(0)=0, Find(4)=3, Add (0,4)=19 Succeeded, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 1, 7: 1}, Find(2)=3, Find(3)=3, Add (2,3)=21 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 1, 7: 1}, Find(0)=3, Find(3)=3, Add (0,3)=23 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 1}, Find(0)=3, Find(6)=3, Add (0,6)=24 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 1}, Find(3)=3, Find(6)=3, Add (3,6)=25 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=28 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=30 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=49 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=58 Failed, w=72\",\"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)=65 Failed, w=72\",\"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)=67 Failed, w=72\",\"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)=71 Failed, w=72\",\"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)=74 Failed, w=72\",\"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)=79 Failed, w=72\",\"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)=80 Failed, w=72\",\"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)=85 Failed, w=72\",\"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)=87 Failed, w=72\",\"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)=88 Failed, w=72\",\"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)=93 Failed, w=72\",\"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)=97 Failed, w=72\",\"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)=97 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=100 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,92],[0,2,85],[0,4,99],[0,5,39],[1,3,36],[1,4,1],[1,5,82],[2,3,77],[2,4,37],[2,5,74],[3,5,42],[4,5,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,85],[0,4,99],[0,5,39],[1,3,36],[1,4,1],[1,5,82],[2,3,77],[2,4,37],[2,5,74],[3,5,42],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,85],[0,4,99],[0,5,39],[1,3,36],[1,4,1],[1,5,82],[2,3,77],[2,4,37],[2,5,74],[3,5,42],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,85],[0,4,99],[0,5,39],[1,3,36],[1,4,1],[1,5,82],[2,3,77],[2,4,37],[2,5,74],[3,5,42],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (4,5)=26, w=27\",\"Add (1,3)=36, w=63\",\"Add (2,4)=37, w=100\",\"Add (0,5)=39, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,85],[0,4,99],[0,5,39],[1,3,36],[1,4,1],[1,5,82],[2,3,77],[2,4,37],[2,5,74],[3,5,42],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (4,5)=26 Succeeded, w=27\",\"Add (1,3)=36 Succeeded, w=63\",\"Add (2,4)=37 Succeeded, w=100\",\"Add (0,5)=39 Succeeded, w=139\",\"Add (3,5)=42 Failed, w=139\",\"Add (2,5)=74 Failed, w=139\",\"Add (2,3)=77 Failed, w=139\",\"Add (1,5)=82 Failed, w=139\",\"Add (0,2)=85 Failed, w=139\",\"Add (0,1)=92 Failed, w=139\",\"Add (0,4)=99 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,85],[0,4,99],[0,5,39],[1,3,36],[1,4,1],[1,5,82],[2,3,77],[2,4,37],[2,5,74],[3,5,42],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(4,5)=26,(1,3)=36,(2,4)=37,(0,5)=39,(3,5)=42,(2,5)=74,(2,3)=77,(1,5)=82,(0,2)=85,(0,1)=92,(0,4)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(4)=1, Find(5)=5, Add (4,5)=26 Succeeded, w=27\",\"Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=63\",\"Find(2)=2, Find(4)=1, Add (2,4)=37 Succeeded, w=100\",\"Find(0)=0, Find(5)=1, Add (0,5)=39 Succeeded, w=139\",\"Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=139\",\"Find(2)=1, Find(5)=1, Add (2,5)=74 Failed, w=139\",\"Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=139\",\"Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=139\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=139\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=139\",\"Find(0)=1, Find(4)=1, Add (0,4)=99 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,85],[0,4,99],[0,5,39],[1,3,36],[1,4,1],[1,5,82],[2,3,77],[2,4,37],[2,5,74],[3,5,42],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(4,5)=26,(1,3)=36,(2,4)=37,(0,5)=39,(3,5)=42,(2,5)=74,(2,3)=77,(1,5)=82,(0,2)=85,(0,1)=92,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=26 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=36 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(4)=1, Add (2,4)=37 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=39 Succeeded, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=42 Failed, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=74 Failed, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=82 Failed, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=139\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=99 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,5],[0,2,68],[0,3,76],[0,4,0],[0,5,7],[1,2,68],[1,3,40],[1,4,17],[1,5,93],[2,3,18],[2,4,71],[2,5,15],[3,4,38],[3,5,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,68],[0,3,76],[0,4,0],[0,5,7],[1,2,68],[1,3,40],[1,4,17],[1,5,93],[2,3,18],[2,4,71],[2,5,15],[3,4,38],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,68],[0,3,76],[0,4,0],[0,5,7],[1,2,68],[1,3,40],[1,4,17],[1,5,93],[2,3,18],[2,4,71],[2,5,15],[3,4,38],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (2,3)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,68],[0,3,76],[0,4,0],[0,5,7],[1,2,68],[1,3,40],[1,4,17],[1,5,93],[2,3,18],[2,4,71],[2,5,15],[3,4,38],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (0,1)=5, w=5\",\"Add (0,5)=7, w=12\",\"Add (2,5)=15, w=27\",\"Add (2,3)=18, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,68],[0,3,76],[0,4,0],[0,5,7],[1,2,68],[1,3,40],[1,4,17],[1,5,93],[2,3,18],[2,4,71],[2,5,15],[3,4,38],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (0,1)=5 Succeeded, w=5\",\"Add (0,5)=7 Succeeded, w=12\",\"Add (2,5)=15 Succeeded, w=27\",\"Add (1,4)=17 Failed, w=27\",\"Add (2,3)=18 Succeeded, w=45\",\"Add (3,4)=38 Failed, w=45\",\"Add (1,3)=40 Failed, w=45\",\"Add (0,2)=68 Failed, w=45\",\"Add (1,2)=68 Failed, w=45\",\"Add (2,4)=71 Failed, w=45\",\"Add (0,3)=76 Failed, w=45\",\"Add (3,5)=79 Failed, w=45\",\"Add (1,5)=93 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,68],[0,3,76],[0,4,0],[0,5,7],[1,2,68],[1,3,40],[1,4,17],[1,5,93],[2,3,18],[2,4,71],[2,5,15],[3,4,38],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,1)=5,(0,5)=7,(2,5)=15,(1,4)=17,(2,3)=18,(3,4)=38,(1,3)=40,(0,2)=68,(1,2)=68,(2,4)=71,(0,3)=76,(3,5)=79,(1,5)=93]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=12\",\"Find(2)=2, Find(5)=0, Add (2,5)=15 Succeeded, w=27\",\"Find(1)=0, Find(4)=0, Add (1,4)=17 Failed, w=27\",\"Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=45\",\"Find(3)=0, Find(4)=0, Add (3,4)=38 Failed, w=45\",\"Find(1)=0, Find(3)=0, Add (1,3)=40 Failed, w=45\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=45\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=45\",\"Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=45\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=45\",\"Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=45\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,5],[0,2,68],[0,3,76],[0,4,0],[0,5,7],[1,2,68],[1,3,40],[1,4,17],[1,5,93],[2,3,18],[2,4,71],[2,5,15],[3,4,38],[3,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,1)=5,(0,5)=7,(2,5)=15,(1,4)=17,(2,3)=18,(3,4)=38,(1,3)=40,(0,2)=68,(1,2)=68,(2,4)=71,(0,3)=76,(3,5)=79,(1,5)=93]\",\"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: 0, 2: 2, 3: 3, 4: 0, 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: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=17 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=38 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=40 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=79 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,79],[0,3,66],[1,3,18],[2,3,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,66],[1,3,18],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,66],[1,3,18],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,66],[1,3,18],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18, w=18\",\"Add (2,3)=63, w=81\",\"Add (0,3)=66, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,66],[1,3,18],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18 Succeeded, w=18\",\"Add (2,3)=63 Succeeded, w=81\",\"Add (0,3)=66 Succeeded, w=147\",\"Add (0,1)=79 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,66],[1,3,18],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(2,3)=63,(0,3)=66,(0,1)=79]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Find(2)=2, Find(3)=1, Add (2,3)=63 Succeeded, w=81\",\"Find(0)=0, Find(3)=1, Add (0,3)=66 Succeeded, w=147\",\"Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,66],[1,3,18],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(2,3)=63,(0,3)=66,(0,1)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=63 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=66 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,66],[1,2,98],[1,3,52],[1,4,89],[2,3,84],[2,4,90],[2,5,54],[4,5,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[1,2,98],[1,3,52],[1,4,89],[2,3,84],[2,4,90],[2,5,54],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":317}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[1,2,98],[1,3,52],[1,4,89],[2,3,84],[2,4,90],[2,5,54],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":317}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[1,2,98],[1,3,52],[1,4,89],[2,3,84],[2,4,90],[2,5,54],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=52, w=52\",\"Add (2,5)=54, w=106\",\"Add (4,5)=61, w=167\",\"Add (0,1)=66, w=233\",\"Add (2,3)=84, w=317\"],\"Answer\":317}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[1,2,98],[1,3,52],[1,4,89],[2,3,84],[2,4,90],[2,5,54],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=52 Succeeded, w=52\",\"Add (2,5)=54 Succeeded, w=106\",\"Add (4,5)=61 Succeeded, w=167\",\"Add (0,1)=66 Succeeded, w=233\",\"Add (2,3)=84 Succeeded, w=317\",\"Add (1,4)=89 Failed, w=317\",\"Add (2,4)=90 Failed, w=317\",\"Add (1,2)=98 Failed, w=317\"],\"Answer\":317}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[1,2,98],[1,3,52],[1,4,89],[2,3,84],[2,4,90],[2,5,54],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=52,(2,5)=54,(4,5)=61,(0,1)=66,(2,3)=84,(1,4)=89,(2,4)=90,(1,2)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=52 Succeeded, w=52\",\"Find(2)=2, Find(5)=5, Add (2,5)=54 Succeeded, w=106\",\"Find(4)=4, Find(5)=2, Add (4,5)=61 Succeeded, w=167\",\"Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=233\",\"Find(2)=2, Find(3)=1, Add (2,3)=84 Succeeded, w=317\",\"Find(1)=2, Find(4)=2, Add (1,4)=89 Failed, w=317\",\"Find(2)=2, Find(4)=2, Add (2,4)=90 Failed, w=317\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=317\"],\"Answer\":317}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[1,2,98],[1,3,52],[1,4,89],[2,3,84],[2,4,90],[2,5,54],[4,5,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=52,(2,5)=54,(4,5)=61,(0,1)=66,(2,3)=84,(1,4)=89,(2,4)=90,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=52 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=54 Succeeded, w=106\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=61 Succeeded, w=167\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=66 Succeeded, w=233\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(3)=1, Add (2,3)=84 Succeeded, w=317\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=89 Failed, w=317\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=90 Failed, w=317\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=317\"],\"Answer\":317}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,25],[0,2,4],[0,3,29],[0,4,4],[1,2,52],[1,4,80],[2,3,92],[2,4,96],[3,4,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,4],[0,3,29],[0,4,4],[1,2,52],[1,4,80],[2,3,92],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,4],[0,3,29],[0,4,4],[1,2,52],[1,4,80],[2,3,92],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,4],[0,3,29],[0,4,4],[1,2,52],[1,4,80],[2,3,92],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (0,4)=4, w=8\",\"Add (3,4)=24, w=32\",\"Add (0,1)=25, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,4],[0,3,29],[0,4,4],[1,2,52],[1,4,80],[2,3,92],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (0,4)=4 Succeeded, w=8\",\"Add (3,4)=24 Succeeded, w=32\",\"Add (0,1)=25 Succeeded, w=57\",\"Add (0,3)=29 Failed, w=57\",\"Add (1,2)=52 Failed, w=57\",\"Add (1,4)=80 Failed, w=57\",\"Add (2,3)=92 Failed, w=57\",\"Add (2,4)=96 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,4],[0,3,29],[0,4,4],[1,2,52],[1,4,80],[2,3,92],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(0,4)=4,(3,4)=24,(0,1)=25,(0,3)=29,(1,2)=52,(1,4)=80,(2,3)=92,(2,4)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=8\",\"Find(3)=3, Find(4)=0, Add (3,4)=24 Succeeded, w=32\",\"Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=57\",\"Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=57\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=57\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=57\",\"Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=57\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,25],[0,2,4],[0,3,29],[0,4,4],[1,2,52],[1,4,80],[2,3,92],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(0,4)=4,(3,4)=24,(0,1)=25,(0,3)=29,(1,2)=52,(1,4)=80,(2,3)=92,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=24 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=25 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=29 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=92 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,89],[0,2,73],[0,3,53],[0,4,28],[0,5,5],[0,6,24],[0,7,98],[1,2,16],[1,3,34],[1,4,66],[1,5,11],[1,6,6],[1,7,57],[2,3,26],[2,4,15],[2,5,61],[2,6,1],[2,7,17],[3,4,68],[3,5,83],[3,6,63],[3,7,42],[4,5,34],[4,6,45],[4,7,74],[5,6,98],[5,7,76],[6,7,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,73],[0,3,53],[0,4,28],[0,5,5],[0,6,24],[0,7,98],[1,2,16],[1,3,34],[1,4,66],[1,5,11],[1,6,6],[1,7,57],[2,3,26],[2,4,15],[2,5,61],[2,6,1],[2,7,17],[3,4,68],[3,5,83],[3,6,63],[3,7,42],[4,5,34],[4,6,45],[4,7,74],[5,6,98],[5,7,76],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,73],[0,3,53],[0,4,28],[0,5,5],[0,6,24],[0,7,98],[1,2,16],[1,3,34],[1,4,66],[1,5,11],[1,6,6],[1,7,57],[2,3,26],[2,4,15],[2,5,61],[2,6,1],[2,7,17],[3,4,68],[3,5,83],[3,6,63],[3,7,42],[4,5,34],[4,6,45],[4,7,74],[5,6,98],[5,7,76],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,5)\",\"Add (1,6)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (6,7)\",\"Add (2,3)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,73],[0,3,53],[0,4,28],[0,5,5],[0,6,24],[0,7,98],[1,2,16],[1,3,34],[1,4,66],[1,5,11],[1,6,6],[1,7,57],[2,3,26],[2,4,15],[2,5,61],[2,6,1],[2,7,17],[3,4,68],[3,5,83],[3,6,63],[3,7,42],[4,5,34],[4,6,45],[4,7,74],[5,6,98],[5,7,76],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (0,5)=5, w=6\",\"Add (1,6)=6, w=12\",\"Add (1,5)=11, w=23\",\"Add (2,4)=15, w=38\",\"Add (6,7)=16, w=54\",\"Add (2,3)=26, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,73],[0,3,53],[0,4,28],[0,5,5],[0,6,24],[0,7,98],[1,2,16],[1,3,34],[1,4,66],[1,5,11],[1,6,6],[1,7,57],[2,3,26],[2,4,15],[2,5,61],[2,6,1],[2,7,17],[3,4,68],[3,5,83],[3,6,63],[3,7,42],[4,5,34],[4,6,45],[4,7,74],[5,6,98],[5,7,76],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (0,5)=5 Succeeded, w=6\",\"Add (1,6)=6 Succeeded, w=12\",\"Add (1,5)=11 Succeeded, w=23\",\"Add (2,4)=15 Succeeded, w=38\",\"Add (1,2)=16 Failed, w=38\",\"Add (6,7)=16 Succeeded, w=54\",\"Add (2,7)=17 Failed, w=54\",\"Add (0,6)=24 Failed, w=54\",\"Add (2,3)=26 Succeeded, w=80\",\"Add (0,4)=28 Failed, w=80\",\"Add (1,3)=34 Failed, w=80\",\"Add (4,5)=34 Failed, w=80\",\"Add (3,7)=42 Failed, w=80\",\"Add (4,6)=45 Failed, w=80\",\"Add (0,3)=53 Failed, w=80\",\"Add (1,7)=57 Failed, w=80\",\"Add (2,5)=61 Failed, w=80\",\"Add (3,6)=63 Failed, w=80\",\"Add (1,4)=66 Failed, w=80\",\"Add (3,4)=68 Failed, w=80\",\"Add (0,2)=73 Failed, w=80\",\"Add (4,7)=74 Failed, w=80\",\"Add (5,7)=76 Failed, w=80\",\"Add (3,5)=83 Failed, w=80\",\"Add (0,1)=89 Failed, w=80\",\"Add (0,7)=98 Failed, w=80\",\"Add (5,6)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,73],[0,3,53],[0,4,28],[0,5,5],[0,6,24],[0,7,98],[1,2,16],[1,3,34],[1,4,66],[1,5,11],[1,6,6],[1,7,57],[2,3,26],[2,4,15],[2,5,61],[2,6,1],[2,7,17],[3,4,68],[3,5,83],[3,6,63],[3,7,42],[4,5,34],[4,6,45],[4,7,74],[5,6,98],[5,7,76],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(0,5)=5,(1,6)=6,(1,5)=11,(2,4)=15,(1,2)=16,(6,7)=16,(2,7)=17,(0,6)=24,(2,3)=26,(0,4)=28,(1,3)=34,(4,5)=34,(3,7)=42,(4,6)=45,(0,3)=53,(1,7)=57,(2,5)=61,(3,6)=63,(1,4)=66,(3,4)=68,(0,2)=73,(4,7)=74,(5,7)=76,(3,5)=83,(0,1)=89,(0,7)=98,(5,6)=98]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=6\",\"Find(1)=1, Find(6)=2, Add (1,6)=6 Succeeded, w=12\",\"Find(1)=2, Find(5)=0, Add (1,5)=11 Succeeded, w=23\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=38\",\"Find(1)=2, Find(2)=2, Add (1,2)=16 Failed, w=38\",\"Find(6)=2, Find(7)=7, Add (6,7)=16 Succeeded, w=54\",\"Find(2)=2, Find(7)=2, Add (2,7)=17 Failed, w=54\",\"Find(0)=2, Find(6)=2, Add (0,6)=24 Failed, w=54\",\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=80\",\"Find(0)=2, Find(4)=2, Add (0,4)=28 Failed, w=80\",\"Find(1)=2, Find(3)=2, Add (1,3)=34 Failed, w=80\",\"Find(4)=2, Find(5)=2, Add (4,5)=34 Failed, w=80\",\"Find(3)=2, Find(7)=2, Add (3,7)=42 Failed, w=80\",\"Find(4)=2, Find(6)=2, Add (4,6)=45 Failed, w=80\",\"Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=80\",\"Find(1)=2, Find(7)=2, Add (1,7)=57 Failed, w=80\",\"Find(2)=2, Find(5)=2, Add (2,5)=61 Failed, w=80\",\"Find(3)=2, Find(6)=2, Add (3,6)=63 Failed, w=80\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=80\",\"Find(3)=2, Find(4)=2, Add (3,4)=68 Failed, w=80\",\"Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=80\",\"Find(4)=2, Find(7)=2, Add (4,7)=74 Failed, w=80\",\"Find(5)=2, Find(7)=2, Add (5,7)=76 Failed, w=80\",\"Find(3)=2, Find(5)=2, Add (3,5)=83 Failed, w=80\",\"Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=80\",\"Find(0)=2, Find(7)=2, Add (0,7)=98 Failed, w=80\",\"Find(5)=2, Find(6)=2, Add (5,6)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,73],[0,3,53],[0,4,28],[0,5,5],[0,6,24],[0,7,98],[1,2,16],[1,3,34],[1,4,66],[1,5,11],[1,6,6],[1,7,57],[2,3,26],[2,4,15],[2,5,61],[2,6,1],[2,7,17],[3,4,68],[3,5,83],[3,6,63],[3,7,42],[4,5,34],[4,6,45],[4,7,74],[5,6,98],[5,7,76],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(0,5)=5,(1,6)=6,(1,5)=11,(2,4)=15,(1,2)=16,(6,7)=16,(2,7)=17,(0,6)=24,(2,3)=26,(0,4)=28,(1,3)=34,(4,5)=34,(3,7)=42,(4,6)=45,(0,3)=53,(1,7)=57,(2,5)=61,(3,6)=63,(1,4)=66,(3,4)=68,(0,2)=73,(4,7)=74,(5,7)=76,(3,5)=83,(0,1)=89,(0,7)=98,(5,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 7}, Find(1)=1, Find(6)=2, Add (1,6)=6 Succeeded, w=12\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 0, 6: 2, 7: 7}, Find(1)=2, Find(5)=0, Add (1,5)=11 Succeeded, w=23\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2, 7: 7}, Find(1)=2, Find(2)=2, Add (1,2)=16 Failed, w=38\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2, 7: 2}, Find(6)=2, Find(7)=7, Add (6,7)=16 Succeeded, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=17 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=24 Failed, w=54\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=28 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=34 Failed, w=80\",\"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)=34 Failed, w=80\",\"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)=42 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=45 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=53 Failed, w=80\",\"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)=57 Failed, w=80\",\"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)=61 Failed, w=80\",\"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)=63 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=80\",\"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)=68 Failed, w=80\",\"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)=73 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=74 Failed, w=80\",\"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)=76 Failed, w=80\",\"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)=83 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=80\",\"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)=98 Failed, w=80\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,20],[0,4,38],[0,5,87],[0,6,14],[1,2,33],[1,3,28],[1,7,51],[2,3,24],[2,4,75],[2,5,22],[2,6,28],[2,7,6],[3,4,79],[3,6,67],[4,5,97],[4,6,51],[4,7,24],[5,6,64],[6,7,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,38],[0,5,87],[0,6,14],[1,2,33],[1,3,28],[1,7,51],[2,3,24],[2,4,75],[2,5,22],[2,6,28],[2,7,6],[3,4,79],[3,6,67],[4,5,97],[4,6,51],[4,7,24],[5,6,64],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,38],[0,5,87],[0,6,14],[1,2,33],[1,3,28],[1,7,51],[2,3,24],[2,4,75],[2,5,22],[2,6,28],[2,7,6],[3,4,79],[3,6,67],[4,5,97],[4,6,51],[4,7,24],[5,6,64],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (1,3)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,38],[0,5,87],[0,6,14],[1,2,33],[1,3,28],[1,7,51],[2,3,24],[2,4,75],[2,5,22],[2,6,28],[2,7,6],[3,4,79],[3,6,67],[4,5,97],[4,6,51],[4,7,24],[5,6,64],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=6, w=6\",\"Add (0,6)=14, w=20\",\"Add (0,2)=20, w=40\",\"Add (2,5)=22, w=62\",\"Add (2,3)=24, w=86\",\"Add (4,7)=24, w=110\",\"Add (1,3)=28, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,38],[0,5,87],[0,6,14],[1,2,33],[1,3,28],[1,7,51],[2,3,24],[2,4,75],[2,5,22],[2,6,28],[2,7,6],[3,4,79],[3,6,67],[4,5,97],[4,6,51],[4,7,24],[5,6,64],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=6 Succeeded, w=6\",\"Add (0,6)=14 Succeeded, w=20\",\"Add (0,2)=20 Succeeded, w=40\",\"Add (2,5)=22 Succeeded, w=62\",\"Add (2,3)=24 Succeeded, w=86\",\"Add (4,7)=24 Succeeded, w=110\",\"Add (1,3)=28 Succeeded, w=138\",\"Add (2,6)=28 Failed, w=138\",\"Add (1,2)=33 Failed, w=138\",\"Add (0,4)=38 Failed, w=138\",\"Add (6,7)=49 Failed, w=138\",\"Add (1,7)=51 Failed, w=138\",\"Add (4,6)=51 Failed, w=138\",\"Add (5,6)=64 Failed, w=138\",\"Add (3,6)=67 Failed, w=138\",\"Add (2,4)=75 Failed, w=138\",\"Add (3,4)=79 Failed, w=138\",\"Add (0,5)=87 Failed, w=138\",\"Add (4,5)=97 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,38],[0,5,87],[0,6,14],[1,2,33],[1,3,28],[1,7,51],[2,3,24],[2,4,75],[2,5,22],[2,6,28],[2,7,6],[3,4,79],[3,6,67],[4,5,97],[4,6,51],[4,7,24],[5,6,64],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=6,(0,6)=14,(0,2)=20,(2,5)=22,(2,3)=24,(4,7)=24,(1,3)=28,(2,6)=28,(1,2)=33,(0,4)=38,(6,7)=49,(1,7)=51,(4,6)=51,(5,6)=64,(3,6)=67,(2,4)=75,(3,4)=79,(0,5)=87,(4,5)=97]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=40\",\"Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=62\",\"Find(2)=0, Find(3)=3, Add (2,3)=24 Succeeded, w=86\",\"Find(4)=4, Find(7)=0, Add (4,7)=24 Succeeded, w=110\",\"Find(1)=1, Find(3)=0, Add (1,3)=28 Succeeded, w=138\",\"Find(2)=0, Find(6)=0, Add (2,6)=28 Failed, w=138\",\"Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=138\",\"Find(0)=0, Find(4)=0, Add (0,4)=38 Failed, w=138\",\"Find(6)=0, Find(7)=0, Add (6,7)=49 Failed, w=138\",\"Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=138\",\"Find(4)=0, Find(6)=0, Add (4,6)=51 Failed, w=138\",\"Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=138\",\"Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=138\",\"Find(2)=0, Find(4)=0, Add (2,4)=75 Failed, w=138\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=138\",\"Find(0)=0, Find(5)=0, Add (0,5)=87 Failed, w=138\",\"Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,20],[0,4,38],[0,5,87],[0,6,14],[1,2,33],[1,3,28],[1,7,51],[2,3,24],[2,4,75],[2,5,22],[2,6,28],[2,7,6],[3,4,79],[3,6,67],[4,5,97],[4,6,51],[4,7,24],[5,6,64],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=6,(0,6)=14,(0,2)=20,(2,5)=22,(2,3)=24,(4,7)=24,(1,3)=28,(2,6)=28,(1,2)=33,(0,4)=38,(6,7)=49,(1,7)=51,(4,6)=51,(5,6)=64,(3,6)=67,(2,4)=75,(3,4)=79,(0,5)=87,(4,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 2}, Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(5)=5, Add (2,5)=22 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(3)=3, Add (2,3)=24 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(7)=0, Add (4,7)=24 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(3)=0, Add (1,3)=28 Succeeded, w=138\",\"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)=28 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=33 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=38 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=49 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=51 Failed, w=138\",\"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)=51 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=138\",\"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)=75 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=138\",\"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)=87 Failed, w=138\",\"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)=97 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,84],[0,2,39],[0,4,65],[0,5,64],[0,6,87],[0,7,49],[1,2,13],[1,4,11],[1,5,40],[1,6,29],[1,7,76],[2,3,50],[2,4,63],[2,5,30],[2,6,41],[2,7,57],[3,4,98],[3,6,13],[4,5,10],[4,6,94],[4,7,88],[5,6,31],[5,7,87],[6,7,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,39],[0,4,65],[0,5,64],[0,6,87],[0,7,49],[1,2,13],[1,4,11],[1,5,40],[1,6,29],[1,7,76],[2,3,50],[2,4,63],[2,5,30],[2,6,41],[2,7,57],[3,4,98],[3,6,13],[4,5,10],[4,6,94],[4,7,88],[5,6,31],[5,7,87],[6,7,13]]}",
"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\":[[0,1,84],[0,2,39],[0,4,65],[0,5,64],[0,6,87],[0,7,49],[1,2,13],[1,4,11],[1,5,40],[1,6,29],[1,7,76],[2,3,50],[2,4,63],[2,5,30],[2,6,41],[2,7,57],[3,4,98],[3,6,13],[4,5,10],[4,6,94],[4,7,88],[5,6,31],[5,7,87],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (6,7)\",\"Add (1,6)\",\"Add (0,2)\"],\"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\":[[0,1,84],[0,2,39],[0,4,65],[0,5,64],[0,6,87],[0,7,49],[1,2,13],[1,4,11],[1,5,40],[1,6,29],[1,7,76],[2,3,50],[2,4,63],[2,5,30],[2,6,41],[2,7,57],[3,4,98],[3,6,13],[4,5,10],[4,6,94],[4,7,88],[5,6,31],[5,7,87],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=10, w=10\",\"Add (1,4)=11, w=21\",\"Add (1,2)=13, w=34\",\"Add (3,6)=13, w=47\",\"Add (6,7)=13, w=60\",\"Add (1,6)=29, w=89\",\"Add (0,2)=39, 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\":[[0,1,84],[0,2,39],[0,4,65],[0,5,64],[0,6,87],[0,7,49],[1,2,13],[1,4,11],[1,5,40],[1,6,29],[1,7,76],[2,3,50],[2,4,63],[2,5,30],[2,6,41],[2,7,57],[3,4,98],[3,6,13],[4,5,10],[4,6,94],[4,7,88],[5,6,31],[5,7,87],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=10 Succeeded, w=10\",\"Add (1,4)=11 Succeeded, w=21\",\"Add (1,2)=13 Succeeded, w=34\",\"Add (3,6)=13 Succeeded, w=47\",\"Add (6,7)=13 Succeeded, w=60\",\"Add (1,6)=29 Succeeded, w=89\",\"Add (2,5)=30 Failed, w=89\",\"Add (5,6)=31 Failed, w=89\",\"Add (0,2)=39 Succeeded, w=128\",\"Add (1,5)=40 Failed, w=128\",\"Add (2,6)=41 Failed, w=128\",\"Add (0,7)=49 Failed, w=128\",\"Add (2,3)=50 Failed, w=128\",\"Add (2,7)=57 Failed, w=128\",\"Add (2,4)=63 Failed, w=128\",\"Add (0,5)=64 Failed, w=128\",\"Add (0,4)=65 Failed, w=128\",\"Add (1,7)=76 Failed, w=128\",\"Add (0,1)=84 Failed, w=128\",\"Add (0,6)=87 Failed, w=128\",\"Add (5,7)=87 Failed, w=128\",\"Add (4,7)=88 Failed, w=128\",\"Add (4,6)=94 Failed, w=128\",\"Add (3,4)=98 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\":[[0,1,84],[0,2,39],[0,4,65],[0,5,64],[0,6,87],[0,7,49],[1,2,13],[1,4,11],[1,5,40],[1,6,29],[1,7,76],[2,3,50],[2,4,63],[2,5,30],[2,6,41],[2,7,57],[3,4,98],[3,6,13],[4,5,10],[4,6,94],[4,7,88],[5,6,31],[5,7,87],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=10,(1,4)=11,(1,2)=13,(3,6)=13,(6,7)=13,(1,6)=29,(2,5)=30,(5,6)=31,(0,2)=39,(1,5)=40,(2,6)=41,(0,7)=49,(2,3)=50,(2,7)=57,(2,4)=63,(0,5)=64,(0,4)=65,(1,7)=76,(0,1)=84,(0,6)=87,(5,7)=87,(4,7)=88,(4,6)=94,(3,4)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=21\",\"Find(1)=4, Find(2)=2, Add (1,2)=13 Succeeded, w=34\",\"Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=47\",\"Find(6)=3, Find(7)=7, Add (6,7)=13 Succeeded, w=60\",\"Find(1)=4, Find(6)=3, Add (1,6)=29 Succeeded, w=89\",\"Find(2)=4, Find(5)=4, Add (2,5)=30 Failed, w=89\",\"Find(5)=4, Find(6)=4, Add (5,6)=31 Failed, w=89\",\"Find(0)=0, Find(2)=4, Add (0,2)=39 Succeeded, w=128\",\"Find(1)=4, Find(5)=4, Add (1,5)=40 Failed, w=128\",\"Find(2)=4, Find(6)=4, Add (2,6)=41 Failed, w=128\",\"Find(0)=4, Find(7)=4, Add (0,7)=49 Failed, w=128\",\"Find(2)=4, Find(3)=4, Add (2,3)=50 Failed, w=128\",\"Find(2)=4, Find(7)=4, Add (2,7)=57 Failed, w=128\",\"Find(2)=4, Find(4)=4, Add (2,4)=63 Failed, w=128\",\"Find(0)=4, Find(5)=4, Add (0,5)=64 Failed, w=128\",\"Find(0)=4, Find(4)=4, Add (0,4)=65 Failed, w=128\",\"Find(1)=4, Find(7)=4, Add (1,7)=76 Failed, w=128\",\"Find(0)=4, Find(1)=4, Add (0,1)=84 Failed, w=128\",\"Find(0)=4, Find(6)=4, Add (0,6)=87 Failed, w=128\",\"Find(5)=4, Find(7)=4, Add (5,7)=87 Failed, w=128\",\"Find(4)=4, Find(7)=4, Add (4,7)=88 Failed, w=128\",\"Find(4)=4, Find(6)=4, Add (4,6)=94 Failed, w=128\",\"Find(3)=4, Find(4)=4, Add (3,4)=98 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\":[[0,1,84],[0,2,39],[0,4,65],[0,5,64],[0,6,87],[0,7,49],[1,2,13],[1,4,11],[1,5,40],[1,6,29],[1,7,76],[2,3,50],[2,4,63],[2,5,30],[2,6,41],[2,7,57],[3,4,98],[3,6,13],[4,5,10],[4,6,94],[4,7,88],[5,6,31],[5,7,87],[6,7,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=10,(1,4)=11,(1,2)=13,(3,6)=13,(6,7)=13,(1,6)=29,(2,5)=30,(5,6)=31,(0,2)=39,(1,5)=40,(2,6)=41,(0,7)=49,(2,3)=50,(2,7)=57,(2,4)=63,(0,5)=64,(0,4)=65,(1,7)=76,(0,1)=84,(0,6)=87,(5,7)=87,(4,7)=88,(4,6)=94,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=4, Find(2)=2, Add (1,2)=13 Succeeded, w=34\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=13 Succeeded, w=47\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3, 7: 3}, Find(6)=3, Find(7)=7, Add (6,7)=13 Succeeded, w=60\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 3}, Find(1)=4, Find(6)=3, Add (1,6)=29 Succeeded, w=89\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 3}, Find(2)=4, Find(5)=4, Add (2,5)=30 Failed, w=89\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(5)=4, Find(6)=4, Add (5,6)=31 Failed, w=89\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(0)=0, Find(2)=4, Add (0,2)=39 Succeeded, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(1)=4, Find(5)=4, Add (1,5)=40 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 3}, Find(2)=4, Find(6)=4, Add (2,6)=41 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=49 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=50 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=57 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=63 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=64 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=65 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(7)=4, Add (1,7)=76 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=84 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=87 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=87 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=88 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=94 Failed, w=128\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=98 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,85],[0,2,48],[0,3,1],[0,4,35],[1,2,39],[1,3,78],[1,4,12],[2,3,69],[2,4,93],[3,4,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,48],[0,3,1],[0,4,35],[1,2,39],[1,3,78],[1,4,12],[2,3,69],[2,4,93],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,48],[0,3,1],[0,4,35],[1,2,39],[1,3,78],[1,4,12],[2,3,69],[2,4,93],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,48],[0,3,1],[0,4,35],[1,2,39],[1,3,78],[1,4,12],[2,3,69],[2,4,93],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (1,4)=12, w=13\",\"Add (0,4)=35, w=48\",\"Add (1,2)=39, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,48],[0,3,1],[0,4,35],[1,2,39],[1,3,78],[1,4,12],[2,3,69],[2,4,93],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (1,4)=12 Succeeded, w=13\",\"Add (0,4)=35 Succeeded, w=48\",\"Add (1,2)=39 Succeeded, w=87\",\"Add (0,2)=48 Failed, w=87\",\"Add (2,3)=69 Failed, w=87\",\"Add (1,3)=78 Failed, w=87\",\"Add (0,1)=85 Failed, w=87\",\"Add (3,4)=87 Failed, w=87\",\"Add (2,4)=93 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,48],[0,3,1],[0,4,35],[1,2,39],[1,3,78],[1,4,12],[2,3,69],[2,4,93],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,4)=12,(0,4)=35,(1,2)=39,(0,2)=48,(2,3)=69,(1,3)=78,(0,1)=85,(3,4)=87,(2,4)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=13\",\"Find(0)=0, Find(4)=1, Add (0,4)=35 Succeeded, w=48\",\"Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=87\",\"Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=87\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=87\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=87\",\"Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=87\",\"Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=87\",\"Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,48],[0,3,1],[0,4,35],[1,2,39],[1,3,78],[1,4,12],[2,3,69],[2,4,93],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(1,4)=12,(0,4)=35,(1,2)=39,(0,2)=48,(2,3)=69,(1,3)=78,(0,1)=85,(3,4)=87,(2,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=12 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=35 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(2)=2, Add (1,2)=39 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=87 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=93 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,52],[0,3,81],[1,3,61],[2,3,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,52],[0,3,81],[1,3,61],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,52],[0,3,81],[1,3,61],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,52],[0,3,81],[1,3,61],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=50, w=50\",\"Add (0,2)=52, w=102\",\"Add (1,3)=61, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,52],[0,3,81],[1,3,61],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=50 Succeeded, w=50\",\"Add (0,2)=52 Succeeded, w=102\",\"Add (1,3)=61 Succeeded, w=163\",\"Add (0,1)=77 Failed, w=163\",\"Add (0,3)=81 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,52],[0,3,81],[1,3,61],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=50,(0,2)=52,(1,3)=61,(0,1)=77,(0,3)=81]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=50 Succeeded, w=50\",\"Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=102\",\"Find(1)=1, Find(3)=2, Add (1,3)=61 Succeeded, w=163\",\"Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=163\",\"Find(0)=2, Find(3)=2, Add (0,3)=81 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,52],[0,3,81],[1,3,61],[2,3,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=50,(0,2)=52,(1,3)=61,(0,1)=77,(0,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=50 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=102\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=61 Succeeded, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=163\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=81 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,10],[0,3,51],[0,4,27],[0,5,52],[1,2,83],[1,3,29],[1,4,12],[1,5,27],[2,3,49],[2,4,4],[2,5,83],[3,4,45],[3,5,87],[4,5,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,10],[0,3,51],[0,4,27],[0,5,52],[1,2,83],[1,3,29],[1,4,12],[1,5,27],[2,3,49],[2,4,4],[2,5,83],[3,4,45],[3,5,87],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,10],[0,3,51],[0,4,27],[0,5,52],[1,2,83],[1,3,29],[1,4,12],[1,5,27],[2,3,49],[2,4,4],[2,5,83],[3,4,45],[3,5,87],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (1,3)\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,10],[0,3,51],[0,4,27],[0,5,52],[1,2,83],[1,3,29],[1,4,12],[1,5,27],[2,3,49],[2,4,4],[2,5,83],[3,4,45],[3,5,87],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (0,2)=10, w=14\",\"Add (1,4)=12, w=26\",\"Add (1,5)=27, w=53\",\"Add (1,3)=29, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,10],[0,3,51],[0,4,27],[0,5,52],[1,2,83],[1,3,29],[1,4,12],[1,5,27],[2,3,49],[2,4,4],[2,5,83],[3,4,45],[3,5,87],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (0,2)=10 Succeeded, w=14\",\"Add (1,4)=12 Succeeded, w=26\",\"Add (0,4)=27 Failed, w=26\",\"Add (1,5)=27 Succeeded, w=53\",\"Add (1,3)=29 Succeeded, w=82\",\"Add (0,1)=41 Failed, w=82\",\"Add (3,4)=45 Failed, w=82\",\"Add (4,5)=47 Failed, w=82\",\"Add (2,3)=49 Failed, w=82\",\"Add (0,3)=51 Failed, w=82\",\"Add (0,5)=52 Failed, w=82\",\"Add (1,2)=83 Failed, w=82\",\"Add (2,5)=83 Failed, w=82\",\"Add (3,5)=87 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,10],[0,3,51],[0,4,27],[0,5,52],[1,2,83],[1,3,29],[1,4,12],[1,5,27],[2,3,49],[2,4,4],[2,5,83],[3,4,45],[3,5,87],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=10,(1,4)=12,(0,4)=27,(1,5)=27,(1,3)=29,(0,1)=41,(3,4)=45,(4,5)=47,(2,3)=49,(0,3)=51,(0,5)=52,(1,2)=83,(2,5)=83,(3,5)=87]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=14\",\"Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=26\",\"Find(0)=2, Find(4)=2, Add (0,4)=27 Failed, w=26\",\"Find(1)=2, Find(5)=5, Add (1,5)=27 Succeeded, w=53\",\"Find(1)=2, Find(3)=3, Add (1,3)=29 Succeeded, w=82\",\"Find(0)=2, Find(1)=2, Add (0,1)=41 Failed, w=82\",\"Find(3)=2, Find(4)=2, Add (3,4)=45 Failed, w=82\",\"Find(4)=2, Find(5)=2, Add (4,5)=47 Failed, w=82\",\"Find(2)=2, Find(3)=2, Add (2,3)=49 Failed, w=82\",\"Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=82\",\"Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=82\",\"Find(1)=2, Find(2)=2, Add (1,2)=83 Failed, w=82\",\"Find(2)=2, Find(5)=2, Add (2,5)=83 Failed, w=82\",\"Find(3)=2, Find(5)=2, Add (3,5)=87 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,10],[0,3,51],[0,4,27],[0,5,52],[1,2,83],[1,3,29],[1,4,12],[1,5,27],[2,3,49],[2,4,4],[2,5,83],[3,4,45],[3,5,87],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(0,2)=10,(1,4)=12,(0,4)=27,(1,5)=27,(1,3)=29,(0,1)=41,(3,4)=45,(4,5)=47,(2,3)=49,(0,3)=51,(0,5)=52,(1,2)=83,(2,5)=83,(3,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=12 Succeeded, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=2, Find(4)=2, Add (0,4)=27 Failed, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=27 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=3, Add (1,3)=29 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=41 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=45 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=47 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=49 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=83 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=83 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=87 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,19],[0,3,76],[0,4,44],[1,3,98],[1,5,55],[2,3,41],[2,5,19],[3,5,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,76],[0,4,44],[1,3,98],[1,5,55],[2,3,41],[2,5,19],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,76],[0,4,44],[1,3,98],[1,5,55],[2,3,41],[2,5,19],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,76],[0,4,44],[1,3,98],[1,5,55],[2,3,41],[2,5,19],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (2,5)=19, w=38\",\"Add (2,3)=41, w=79\",\"Add (0,4)=44, w=123\",\"Add (1,5)=55, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,76],[0,4,44],[1,3,98],[1,5,55],[2,3,41],[2,5,19],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (2,5)=19 Succeeded, w=38\",\"Add (2,3)=41 Succeeded, w=79\",\"Add (3,5)=41 Failed, w=79\",\"Add (0,4)=44 Succeeded, w=123\",\"Add (1,5)=55 Succeeded, w=178\",\"Add (0,3)=76 Failed, w=178\",\"Add (1,3)=98 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,76],[0,4,44],[1,3,98],[1,5,55],[2,3,41],[2,5,19],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(2,5)=19,(2,3)=41,(3,5)=41,(0,4)=44,(1,5)=55,(0,3)=76,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(2)=0, Find(5)=5, Add (2,5)=19 Succeeded, w=38\",\"Find(2)=0, Find(3)=3, Add (2,3)=41 Succeeded, w=79\",\"Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=79\",\"Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=123\",\"Find(1)=1, Find(5)=0, Add (1,5)=55 Succeeded, w=178\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=178\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,76],[0,4,44],[1,3,98],[1,5,55],[2,3,41],[2,5,19],[3,5,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(2,5)=19,(2,3)=41,(3,5)=41,(0,4)=44,(1,5)=55,(0,3)=76,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=19 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=41 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=79\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=55 Succeeded, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=178\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=178\"],\"Answer\":178}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,63],[0,3,38],[0,4,18],[1,2,85],[1,3,37],[1,4,3],[2,3,39],[2,4,46],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,3,38],[0,4,18],[1,2,85],[1,3,37],[1,4,3],[2,3,39],[2,4,46],[3,4,54]]}",
"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\":[[0,2,63],[0,3,38],[0,4,18],[1,2,85],[1,3,37],[1,4,3],[2,3,39],[2,4,46],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,3,38],[0,4,18],[1,2,85],[1,3,37],[1,4,3],[2,3,39],[2,4,46],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (0,4)=18, w=21\",\"Add (1,3)=37, w=58\",\"Add (2,3)=39, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,63],[0,3,38],[0,4,18],[1,2,85],[1,3,37],[1,4,3],[2,3,39],[2,4,46],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (0,4)=18 Succeeded, w=21\",\"Add (1,3)=37 Succeeded, w=58\",\"Add (0,3)=38 Failed, w=58\",\"Add (2,3)=39 Succeeded, w=97\",\"Add (2,4)=46 Failed, w=97\",\"Add (3,4)=54 Failed, w=97\",\"Add (0,2)=63 Failed, w=97\",\"Add (1,2)=85 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\":[[0,2,63],[0,3,38],[0,4,18],[1,2,85],[1,3,37],[1,4,3],[2,3,39],[2,4,46],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,4)=18,(1,3)=37,(0,3)=38,(2,3)=39,(2,4)=46,(3,4)=54,(0,2)=63,(1,2)=85]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=58\",\"Find(0)=1, Find(3)=1, Add (0,3)=38 Failed, w=58\",\"Find(2)=2, Find(3)=1, Add (2,3)=39 Succeeded, w=97\",\"Find(2)=1, Find(4)=1, Add (2,4)=46 Failed, w=97\",\"Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=97\",\"Find(0)=1, Find(2)=1, Add (0,2)=63 Failed, w=97\",\"Find(1)=1, Find(2)=1, Add (1,2)=85 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\":[[0,2,63],[0,3,38],[0,4,18],[1,2,85],[1,3,37],[1,4,3],[2,3,39],[2,4,46],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(0,4)=18,(1,3)=37,(0,3)=38,(2,3)=39,(2,4)=46,(3,4)=54,(0,2)=63,(1,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=38 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=39 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=46 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=54 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=63 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=85 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,30],[0,4,25],[0,5,46],[1,3,38],[1,4,19],[1,5,45],[1,6,78],[2,3,56],[2,4,79],[2,5,94],[2,6,31],[3,4,100],[3,5,73],[3,6,19],[4,5,58],[4,6,0],[5,6,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,30],[0,4,25],[0,5,46],[1,3,38],[1,4,19],[1,5,45],[1,6,78],[2,3,56],[2,4,79],[2,5,94],[2,6,31],[3,4,100],[3,5,73],[3,6,19],[4,5,58],[4,6,0],[5,6,16]]}",
"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\":[[0,2,30],[0,4,25],[0,5,46],[1,3,38],[1,4,19],[1,5,45],[1,6,78],[2,3,56],[2,4,79],[2,5,94],[2,6,31],[3,4,100],[3,5,73],[3,6,19],[4,5,58],[4,6,0],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (5,6)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,30],[0,4,25],[0,5,46],[1,3,38],[1,4,19],[1,5,45],[1,6,78],[2,3,56],[2,4,79],[2,5,94],[2,6,31],[3,4,100],[3,5,73],[3,6,19],[4,5,58],[4,6,0],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0, w=0\",\"Add (5,6)=16, w=16\",\"Add (1,4)=19, w=35\",\"Add (3,6)=19, w=54\",\"Add (0,4)=25, w=79\",\"Add (0,2)=30, 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\":[[0,2,30],[0,4,25],[0,5,46],[1,3,38],[1,4,19],[1,5,45],[1,6,78],[2,3,56],[2,4,79],[2,5,94],[2,6,31],[3,4,100],[3,5,73],[3,6,19],[4,5,58],[4,6,0],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0 Succeeded, w=0\",\"Add (5,6)=16 Succeeded, w=16\",\"Add (1,4)=19 Succeeded, w=35\",\"Add (3,6)=19 Succeeded, w=54\",\"Add (0,4)=25 Succeeded, w=79\",\"Add (0,2)=30 Succeeded, w=109\",\"Add (2,6)=31 Failed, w=109\",\"Add (1,3)=38 Failed, w=109\",\"Add (1,5)=45 Failed, w=109\",\"Add (0,5)=46 Failed, w=109\",\"Add (2,3)=56 Failed, w=109\",\"Add (4,5)=58 Failed, w=109\",\"Add (3,5)=73 Failed, w=109\",\"Add (1,6)=78 Failed, w=109\",\"Add (2,4)=79 Failed, w=109\",\"Add (2,5)=94 Failed, w=109\",\"Add (3,4)=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\":[[0,2,30],[0,4,25],[0,5,46],[1,3,38],[1,4,19],[1,5,45],[1,6,78],[2,3,56],[2,4,79],[2,5,94],[2,6,31],[3,4,100],[3,5,73],[3,6,19],[4,5,58],[4,6,0],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(5,6)=16,(1,4)=19,(3,6)=19,(0,4)=25,(0,2)=30,(2,6)=31,(1,3)=38,(1,5)=45,(0,5)=46,(2,3)=56,(4,5)=58,(3,5)=73,(1,6)=78,(2,4)=79,(2,5)=94,(3,4)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(5)=5, Find(6)=4, Add (5,6)=16 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=35\",\"Find(3)=3, Find(6)=4, Add (3,6)=19 Succeeded, w=54\",\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=79\",\"Find(0)=4, Find(2)=2, Add (0,2)=30 Succeeded, w=109\",\"Find(2)=4, Find(6)=4, Add (2,6)=31 Failed, w=109\",\"Find(1)=4, Find(3)=4, Add (1,3)=38 Failed, w=109\",\"Find(1)=4, Find(5)=4, Add (1,5)=45 Failed, w=109\",\"Find(0)=4, Find(5)=4, Add (0,5)=46 Failed, w=109\",\"Find(2)=4, Find(3)=4, Add (2,3)=56 Failed, w=109\",\"Find(4)=4, Find(5)=4, Add (4,5)=58 Failed, w=109\",\"Find(3)=4, Find(5)=4, Add (3,5)=73 Failed, w=109\",\"Find(1)=4, Find(6)=4, Add (1,6)=78 Failed, w=109\",\"Find(2)=4, Find(4)=4, Add (2,4)=79 Failed, w=109\",\"Find(2)=4, Find(5)=4, Add (2,5)=94 Failed, w=109\",\"Find(3)=4, Find(4)=4, Add (3,4)=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\":[[0,2,30],[0,4,25],[0,5,46],[1,3,38],[1,4,19],[1,5,45],[1,6,78],[2,3,56],[2,4,79],[2,5,94],[2,6,31],[3,4,100],[3,5,73],[3,6,19],[4,5,58],[4,6,0],[5,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(5,6)=16,(1,4)=19,(3,6)=19,(0,4)=25,(0,2)=30,(2,6)=31,(1,3)=38,(1,5)=45,(0,5)=46,(2,3)=56,(4,5)=58,(3,5)=73,(1,6)=78,(2,4)=79,(2,5)=94,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=5, Find(6)=4, Add (5,6)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=35\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=3, Find(6)=4, Add (3,6)=19 Succeeded, w=54\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=79\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=2, Add (0,2)=30 Succeeded, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=31 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=38 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=45 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=46 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=56 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=4, Add (4,5)=58 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=73 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=78 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=79 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=94 Failed, w=109\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=100 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,51],[0,5,52],[1,2,12],[2,3,13],[2,4,84],[2,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,51],[0,5,52],[1,2,12],[2,3,13],[2,4,84],[2,5,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,51],[0,5,52],[1,2,12],[2,3,13],[2,4,84],[2,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (2,5)\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,51],[0,5,52],[1,2,12],[2,3,13],[2,4,84],[2,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (2,3)=13, w=25\",\"Add (0,4)=51, w=76\",\"Add (0,5)=52, w=128\",\"Add (2,5)=73, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,51],[0,5,52],[1,2,12],[2,3,13],[2,4,84],[2,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (2,3)=13 Succeeded, w=25\",\"Add (0,4)=51 Succeeded, w=76\",\"Add (0,5)=52 Succeeded, w=128\",\"Add (2,5)=73 Succeeded, w=201\",\"Add (2,4)=84 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,51],[0,5,52],[1,2,12],[2,3,13],[2,4,84],[2,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(2,3)=13,(0,4)=51,(0,5)=52,(2,5)=73,(2,4)=84]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(2)=1, Find(3)=3, Add (2,3)=13 Succeeded, w=25\",\"Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=76\",\"Find(0)=0, Find(5)=5, Add (0,5)=52 Succeeded, w=128\",\"Find(2)=1, Find(5)=0, Add (2,5)=73 Succeeded, w=201\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,51],[0,5,52],[1,2,12],[2,3,13],[2,4,84],[2,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(2,3)=13,(0,4)=51,(0,5)=52,(2,5)=73,(2,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(2)=1, Find(3)=3, Add (2,3)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=76\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=52 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 0}, Find(2)=1, Find(5)=0, Add (2,5)=73 Succeeded, w=201\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,46],[0,5,73],[1,2,98],[1,3,4],[1,5,30],[2,3,91],[2,4,23],[2,5,54],[3,5,7],[4,5,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,5,73],[1,2,98],[1,3,4],[1,5,30],[2,3,91],[2,4,23],[2,5,54],[3,5,7],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,5,73],[1,2,98],[1,3,4],[1,5,30],[2,3,91],[2,4,23],[2,5,54],[3,5,7],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (2,5)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,5,73],[1,2,98],[1,3,4],[1,5,30],[2,3,91],[2,4,23],[2,5,54],[3,5,7],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (3,5)=7, w=11\",\"Add (2,4)=23, w=34\",\"Add (0,1)=46, w=80\",\"Add (2,5)=54, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,5,73],[1,2,98],[1,3,4],[1,5,30],[2,3,91],[2,4,23],[2,5,54],[3,5,7],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (3,5)=7 Succeeded, w=11\",\"Add (2,4)=23 Succeeded, w=34\",\"Add (1,5)=30 Failed, w=34\",\"Add (0,1)=46 Succeeded, w=80\",\"Add (2,5)=54 Succeeded, w=134\",\"Add (4,5)=69 Failed, w=134\",\"Add (0,5)=73 Failed, w=134\",\"Add (2,3)=91 Failed, w=134\",\"Add (1,2)=98 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,5,73],[1,2,98],[1,3,4],[1,5,30],[2,3,91],[2,4,23],[2,5,54],[3,5,7],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(3,5)=7,(2,4)=23,(1,5)=30,(0,1)=46,(2,5)=54,(4,5)=69,(0,5)=73,(2,3)=91,(1,2)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(3)=1, Find(5)=5, Add (3,5)=7 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=34\",\"Find(1)=1, Find(5)=1, Add (1,5)=30 Failed, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=80\",\"Find(2)=2, Find(5)=1, Add (2,5)=54 Succeeded, w=134\",\"Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=134\",\"Find(0)=2, Find(5)=2, Add (0,5)=73 Failed, w=134\",\"Find(2)=2, Find(3)=2, Add (2,3)=91 Failed, w=134\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,5,73],[1,2,98],[1,3,4],[1,5,30],[2,3,91],[2,4,23],[2,5,54],[3,5,7],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(3,5)=7,(2,4)=23,(1,5)=30,(0,1)=46,(2,5)=54,(4,5)=69,(0,5)=73,(2,3)=91,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=30 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=46 Succeeded, w=80\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=54 Succeeded, w=134\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=73 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=91 Failed, w=134\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,62],[0,3,18],[0,4,50],[0,7,88],[1,2,98],[1,3,80],[1,4,92],[1,7,8],[2,4,67],[2,6,43],[3,5,52],[3,7,35],[4,5,80],[5,6,96],[5,7,86],[6,7,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,62],[0,3,18],[0,4,50],[0,7,88],[1,2,98],[1,3,80],[1,4,92],[1,7,8],[2,4,67],[2,6,43],[3,5,52],[3,7,35],[4,5,80],[5,6,96],[5,7,86],[6,7,68]]}",
"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\":[[0,2,62],[0,3,18],[0,4,50],[0,7,88],[1,2,98],[1,3,80],[1,4,92],[1,7,8],[2,4,67],[2,6,43],[3,5,52],[3,7,35],[4,5,80],[5,6,96],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (0,3)\",\"Add (3,7)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (0,2)\"],\"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\":[[0,2,62],[0,3,18],[0,4,50],[0,7,88],[1,2,98],[1,3,80],[1,4,92],[1,7,8],[2,4,67],[2,6,43],[3,5,52],[3,7,35],[4,5,80],[5,6,96],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=8, w=8\",\"Add (0,3)=18, w=26\",\"Add (3,7)=35, w=61\",\"Add (2,6)=43, w=104\",\"Add (0,4)=50, w=154\",\"Add (3,5)=52, w=206\",\"Add (0,2)=62, 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\":[[0,2,62],[0,3,18],[0,4,50],[0,7,88],[1,2,98],[1,3,80],[1,4,92],[1,7,8],[2,4,67],[2,6,43],[3,5,52],[3,7,35],[4,5,80],[5,6,96],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=8 Succeeded, w=8\",\"Add (0,3)=18 Succeeded, w=26\",\"Add (3,7)=35 Succeeded, w=61\",\"Add (2,6)=43 Succeeded, w=104\",\"Add (0,4)=50 Succeeded, w=154\",\"Add (3,5)=52 Succeeded, w=206\",\"Add (0,2)=62 Succeeded, w=268\",\"Add (2,4)=67 Failed, w=268\",\"Add (6,7)=68 Failed, w=268\",\"Add (1,3)=80 Failed, w=268\",\"Add (4,5)=80 Failed, w=268\",\"Add (5,7)=86 Failed, w=268\",\"Add (0,7)=88 Failed, w=268\",\"Add (1,4)=92 Failed, w=268\",\"Add (5,6)=96 Failed, w=268\",\"Add (1,2)=98 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\":[[0,2,62],[0,3,18],[0,4,50],[0,7,88],[1,2,98],[1,3,80],[1,4,92],[1,7,8],[2,4,67],[2,6,43],[3,5,52],[3,7,35],[4,5,80],[5,6,96],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=8,(0,3)=18,(3,7)=35,(2,6)=43,(0,4)=50,(3,5)=52,(0,2)=62,(2,4)=67,(6,7)=68,(1,3)=80,(4,5)=80,(5,7)=86,(0,7)=88,(1,4)=92,(5,6)=96,(1,2)=98]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=26\",\"Find(3)=0, Find(7)=1, Add (3,7)=35 Succeeded, w=61\",\"Find(2)=2, Find(6)=6, Add (2,6)=43 Succeeded, w=104\",\"Find(0)=0, Find(4)=4, Add (0,4)=50 Succeeded, w=154\",\"Find(3)=0, Find(5)=5, Add (3,5)=52 Succeeded, w=206\",\"Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=268\",\"Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=268\",\"Find(6)=0, Find(7)=0, Add (6,7)=68 Failed, w=268\",\"Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=268\",\"Find(4)=0, Find(5)=0, Add (4,5)=80 Failed, w=268\",\"Find(5)=0, Find(7)=0, Add (5,7)=86 Failed, w=268\",\"Find(0)=0, Find(7)=0, Add (0,7)=88 Failed, w=268\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=268\",\"Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=268\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 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\":[[0,2,62],[0,3,18],[0,4,50],[0,7,88],[1,2,98],[1,3,80],[1,4,92],[1,7,8],[2,4,67],[2,6,43],[3,5,52],[3,7,35],[4,5,80],[5,6,96],[5,7,86],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=8,(0,3)=18,(3,7)=35,(2,6)=43,(0,4)=50,(3,5)=52,(0,2)=62,(2,4)=67,(6,7)=68,(1,3)=80,(4,5)=80,(5,7)=86,(0,7)=88,(1,4)=92,(5,6)=96,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 1}, Find(3)=0, Find(7)=1, Add (3,7)=35 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 1}, Find(2)=2, Find(6)=6, Add (2,6)=43 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 2, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=50 Succeeded, w=154\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 1}, Find(3)=0, Find(5)=5, Add (3,5)=52 Succeeded, w=206\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 1}, Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 1}, Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=68 Failed, w=268\",\"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)=80 Failed, w=268\",\"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)=80 Failed, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=86 Failed, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=88 Failed, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=96 Failed, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=268\"],\"Answer\":268}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,80],[0,3,65],[0,4,32],[1,2,20],[1,4,13],[1,5,100],[2,4,39],[2,5,57],[3,4,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,3,65],[0,4,32],[1,2,20],[1,4,13],[1,5,100],[2,4,39],[2,5,57],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,3,65],[0,4,32],[1,2,20],[1,4,13],[1,5,100],[2,4,39],[2,5,57],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,3,65],[0,4,32],[1,2,20],[1,4,13],[1,5,100],[2,4,39],[2,5,57],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13, w=13\",\"Add (1,2)=20, w=33\",\"Add (0,4)=32, w=65\",\"Add (3,4)=36, w=101\",\"Add (2,5)=57, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,3,65],[0,4,32],[1,2,20],[1,4,13],[1,5,100],[2,4,39],[2,5,57],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13 Succeeded, w=13\",\"Add (1,2)=20 Succeeded, w=33\",\"Add (0,4)=32 Succeeded, w=65\",\"Add (3,4)=36 Succeeded, w=101\",\"Add (2,4)=39 Failed, w=101\",\"Add (2,5)=57 Succeeded, w=158\",\"Add (0,3)=65 Failed, w=158\",\"Add (0,1)=80 Failed, w=158\",\"Add (1,5)=100 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,3,65],[0,4,32],[1,2,20],[1,4,13],[1,5,100],[2,4,39],[2,5,57],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(1,2)=20,(0,4)=32,(3,4)=36,(2,4)=39,(2,5)=57,(0,3)=65,(0,1)=80,(1,5)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=33\",\"Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=65\",\"Find(3)=3, Find(4)=1, Add (3,4)=36 Succeeded, w=101\",\"Find(2)=1, Find(4)=1, Add (2,4)=39 Failed, w=101\",\"Find(2)=1, Find(5)=5, Add (2,5)=57 Succeeded, w=158\",\"Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=158\",\"Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=158\",\"Find(1)=1, Find(5)=1, Add (1,5)=100 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,80],[0,3,65],[0,4,32],[1,2,20],[1,4,13],[1,5,100],[2,4,39],[2,5,57],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(1,2)=20,(0,4)=32,(3,4)=36,(2,4)=39,(2,5)=57,(0,3)=65,(0,1)=80,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(0)=0, Find(4)=1, Add (0,4)=32 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=36 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(4)=1, Add (2,4)=39 Failed, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=5, Add (2,5)=57 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=65 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=80 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=100 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,21],[0,3,90],[0,4,88],[1,2,9],[1,3,22],[1,4,47],[2,3,50],[2,4,50],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,90],[0,4,88],[1,2,9],[1,3,22],[1,4,47],[2,3,50],[2,4,50],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,90],[0,4,88],[1,2,9],[1,3,22],[1,4,47],[2,3,50],[2,4,50],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,90],[0,4,88],[1,2,9],[1,3,22],[1,4,47],[2,3,50],[2,4,50],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (3,4)=11, w=20\",\"Add (0,2)=21, w=41\",\"Add (1,3)=22, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,90],[0,4,88],[1,2,9],[1,3,22],[1,4,47],[2,3,50],[2,4,50],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (3,4)=11 Succeeded, w=20\",\"Add (0,2)=21 Succeeded, w=41\",\"Add (1,3)=22 Succeeded, w=63\",\"Add (1,4)=47 Failed, w=63\",\"Add (2,3)=50 Failed, w=63\",\"Add (2,4)=50 Failed, w=63\",\"Add (0,4)=88 Failed, w=63\",\"Add (0,3)=90 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,90],[0,4,88],[1,2,9],[1,3,22],[1,4,47],[2,3,50],[2,4,50],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(3,4)=11,(0,2)=21,(1,3)=22,(1,4)=47,(2,3)=50,(2,4)=50,(0,4)=88,(0,3)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=20\",\"Find(0)=0, Find(2)=1, Add (0,2)=21 Succeeded, w=41\",\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=63\",\"Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=63\",\"Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=63\",\"Find(2)=1, Find(4)=1, Add (2,4)=50 Failed, w=63\",\"Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=63\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,90],[0,4,88],[1,2,9],[1,3,22],[1,4,47],[2,3,50],[2,4,50],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(3,4)=11,(0,2)=21,(1,3)=22,(1,4)=47,(2,3)=50,(2,4)=50,(0,4)=88,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(2)=1, Add (0,2)=21 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=50 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=50 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=88 Failed, w=63\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,46],[0,3,31],[1,2,45],[1,3,96],[1,4,39],[2,3,73],[2,4,26],[3,4,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,46],[0,3,31],[1,2,45],[1,3,96],[1,4,39],[2,3,73],[2,4,26],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,46],[0,3,31],[1,2,45],[1,3,96],[1,4,39],[2,3,73],[2,4,26],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,46],[0,3,31],[1,2,45],[1,3,96],[1,4,39],[2,3,73],[2,4,26],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=26, w=26\",\"Add (0,3)=31, w=57\",\"Add (0,1)=36, w=93\",\"Add (1,4)=39, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,46],[0,3,31],[1,2,45],[1,3,96],[1,4,39],[2,3,73],[2,4,26],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=26 Succeeded, w=26\",\"Add (0,3)=31 Succeeded, w=57\",\"Add (0,1)=36 Succeeded, w=93\",\"Add (1,4)=39 Succeeded, w=132\",\"Add (1,2)=45 Failed, w=132\",\"Add (0,2)=46 Failed, w=132\",\"Add (3,4)=68 Failed, w=132\",\"Add (2,3)=73 Failed, w=132\",\"Add (1,3)=96 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,46],[0,3,31],[1,2,45],[1,3,96],[1,4,39],[2,3,73],[2,4,26],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=26,(0,3)=31,(0,1)=36,(1,4)=39,(1,2)=45,(0,2)=46,(3,4)=68,(2,3)=73,(1,3)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=57\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=93\",\"Find(1)=0, Find(4)=2, Add (1,4)=39 Succeeded, w=132\",\"Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=132\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=132\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=132\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=132\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,46],[0,3,31],[1,2,45],[1,3,96],[1,4,39],[2,3,73],[2,4,26],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=26,(0,3)=31,(0,1)=36,(1,4)=39,(1,2)=45,(0,2)=46,(3,4)=68,(2,3)=73,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=39 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,77],[0,2,3],[1,2,61],[1,3,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,3],[1,2,61],[1,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,3],[1,2,61],[1,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,3],[1,2,61],[1,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (1,2)=61, w=64\",\"Add (1,3)=95, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,3],[1,2,61],[1,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (1,2)=61 Succeeded, w=64\",\"Add (0,1)=77 Failed, w=64\",\"Add (1,3)=95 Succeeded, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,3],[1,2,61],[1,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=61,(0,1)=77,(1,3)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=0, Add (1,2)=61 Succeeded, w=64\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=64\",\"Find(1)=0, Find(3)=3, Add (1,3)=95 Succeeded, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,77],[0,2,3],[1,2,61],[1,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=61,(0,1)=77,(1,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=61 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=95 Succeeded, w=159\"],\"Answer\":159}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,75],[0,3,9],[0,4,45],[0,5,45],[1,2,19],[1,4,7],[1,5,89],[1,6,7],[2,3,79],[2,4,2],[2,5,18],[2,6,62],[3,5,38],[4,5,46],[4,6,19],[5,6,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,9],[0,4,45],[0,5,45],[1,2,19],[1,4,7],[1,5,89],[1,6,7],[2,3,79],[2,4,2],[2,5,18],[2,6,62],[3,5,38],[4,5,46],[4,6,19],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,9],[0,4,45],[0,5,45],[1,2,19],[1,4,7],[1,5,89],[1,6,7],[2,3,79],[2,4,2],[2,5,18],[2,6,62],[3,5,38],[4,5,46],[4,6,19],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (0,3)\",\"Add (2,5)\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,9],[0,4,45],[0,5,45],[1,2,19],[1,4,7],[1,5,89],[1,6,7],[2,3,79],[2,4,2],[2,5,18],[2,6,62],[3,5,38],[4,5,46],[4,6,19],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (0,1)=5, w=7\",\"Add (1,4)=7, w=14\",\"Add (1,6)=7, w=21\",\"Add (0,3)=9, w=30\",\"Add (2,5)=18, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,9],[0,4,45],[0,5,45],[1,2,19],[1,4,7],[1,5,89],[1,6,7],[2,3,79],[2,4,2],[2,5,18],[2,6,62],[3,5,38],[4,5,46],[4,6,19],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (0,1)=5 Succeeded, w=7\",\"Add (1,4)=7 Succeeded, w=14\",\"Add (1,6)=7 Succeeded, w=21\",\"Add (0,3)=9 Succeeded, w=30\",\"Add (2,5)=18 Succeeded, w=48\",\"Add (1,2)=19 Failed, w=48\",\"Add (4,6)=19 Failed, w=48\",\"Add (3,5)=38 Failed, w=48\",\"Add (0,4)=45 Failed, w=48\",\"Add (0,5)=45 Failed, w=48\",\"Add (4,5)=46 Failed, w=48\",\"Add (5,6)=57 Failed, w=48\",\"Add (2,6)=62 Failed, w=48\",\"Add (0,2)=75 Failed, w=48\",\"Add (2,3)=79 Failed, w=48\",\"Add (1,5)=89 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,9],[0,4,45],[0,5,45],[1,2,19],[1,4,7],[1,5,89],[1,6,7],[2,3,79],[2,4,2],[2,5,18],[2,6,62],[3,5,38],[4,5,46],[4,6,19],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,1)=5,(1,4)=7,(1,6)=7,(0,3)=9,(2,5)=18,(1,2)=19,(4,6)=19,(3,5)=38,(0,4)=45,(0,5)=45,(4,5)=46,(5,6)=57,(2,6)=62,(0,2)=75,(2,3)=79,(1,5)=89]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=7\",\"Find(1)=0, Find(4)=2, Add (1,4)=7 Succeeded, w=14\",\"Find(1)=0, Find(6)=6, Add (1,6)=7 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=30\",\"Find(2)=0, Find(5)=5, Add (2,5)=18 Succeeded, w=48\",\"Find(1)=0, Find(2)=0, Add (1,2)=19 Failed, w=48\",\"Find(4)=0, Find(6)=0, Add (4,6)=19 Failed, w=48\",\"Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=48\",\"Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=48\",\"Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=48\",\"Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=48\",\"Find(5)=0, Find(6)=0, Add (5,6)=57 Failed, w=48\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=48\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=48\",\"Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=48\",\"Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,9],[0,4,45],[0,5,45],[1,2,19],[1,4,7],[1,5,89],[1,6,7],[2,3,79],[2,4,2],[2,5,18],[2,6,62],[3,5,38],[4,5,46],[4,6,19],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(0,1)=5,(1,4)=7,(1,6)=7,(0,3)=9,(2,5)=18,(1,2)=19,(4,6)=19,(3,5)=38,(0,4)=45,(0,5)=45,(4,5)=46,(5,6)=57,(2,6)=62,(0,2)=75,(2,3)=79,(1,5)=89]\",\"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: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5, 6: 6}, Find(1)=0, Find(4)=2, Add (1,4)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=7 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=18 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=19 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=19 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=45 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=46 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=57 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=79 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=48\"],\"Answer\":48}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,36],[0,3,61],[0,4,85],[1,4,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,36],[0,3,61],[0,4,85],[1,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,36],[0,3,61],[0,4,85],[1,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,36],[0,3,61],[0,4,85],[1,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=29, w=29\",\"Add (0,2)=36, w=65\",\"Add (0,3)=61, w=126\",\"Add (0,4)=85, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,36],[0,3,61],[0,4,85],[1,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=29 Succeeded, w=29\",\"Add (0,2)=36 Succeeded, w=65\",\"Add (0,3)=61 Succeeded, w=126\",\"Add (0,4)=85 Succeeded, w=211\",\"Add (1,4)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,36],[0,3,61],[0,4,85],[1,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=29,(0,2)=36,(0,3)=61,(0,4)=85,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=65\",\"Find(0)=0, Find(3)=3, Add (0,3)=61 Succeeded, w=126\",\"Find(0)=0, Find(4)=4, Add (0,4)=85 Succeeded, w=211\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,36],[0,3,61],[0,4,85],[1,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=29,(0,2)=36,(0,3)=61,(0,4)=85,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=36 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=61 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=85 Succeeded, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,58],[0,2,80],[0,3,95],[1,2,98],[1,3,3],[2,3,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,80],[0,3,95],[1,2,98],[1,3,3],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,80],[0,3,95],[1,2,98],[1,3,3],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,80],[0,3,95],[1,2,98],[1,3,3],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (2,3)=38, w=41\",\"Add (0,1)=58, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,80],[0,3,95],[1,2,98],[1,3,3],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (2,3)=38 Succeeded, w=41\",\"Add (0,1)=58 Succeeded, w=99\",\"Add (0,2)=80 Failed, w=99\",\"Add (0,3)=95 Failed, w=99\",\"Add (1,2)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,80],[0,3,95],[1,2,98],[1,3,3],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,3)=38,(0,1)=58,(0,2)=80,(0,3)=95,(1,2)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=1, Add (2,3)=38 Succeeded, w=41\",\"Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=99\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=99\",\"Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=99\",\"Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,58],[0,2,80],[0,3,95],[1,2,98],[1,3,3],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(2,3)=38,(0,1)=58,(0,2)=80,(0,3)=95,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=38 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=98 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,17],[0,2,13],[0,3,27],[0,4,68],[0,5,98],[0,6,85],[0,7,35],[1,2,13],[1,3,81],[1,4,44],[1,5,32],[1,6,12],[1,7,66],[2,3,58],[2,4,75],[2,5,90],[2,7,78],[3,5,35],[3,6,61],[4,5,91],[4,6,81],[4,7,62],[5,7,6],[6,7,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,13],[0,3,27],[0,4,68],[0,5,98],[0,6,85],[0,7,35],[1,2,13],[1,3,81],[1,4,44],[1,5,32],[1,6,12],[1,7,66],[2,3,58],[2,4,75],[2,5,90],[2,7,78],[3,5,35],[3,6,61],[4,5,91],[4,6,81],[4,7,62],[5,7,6],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,13],[0,3,27],[0,4,68],[0,5,98],[0,6,85],[0,7,35],[1,2,13],[1,3,81],[1,4,44],[1,5,32],[1,6,12],[1,7,66],[2,3,58],[2,4,75],[2,5,90],[2,7,78],[3,5,35],[3,6,61],[4,5,91],[4,6,81],[4,7,62],[5,7,6],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (1,6)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (1,4)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,13],[0,3,27],[0,4,68],[0,5,98],[0,6,85],[0,7,35],[1,2,13],[1,3,81],[1,4,44],[1,5,32],[1,6,12],[1,7,66],[2,3,58],[2,4,75],[2,5,90],[2,7,78],[3,5,35],[3,6,61],[4,5,91],[4,6,81],[4,7,62],[5,7,6],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6, w=6\",\"Add (1,6)=12, w=18\",\"Add (0,2)=13, w=31\",\"Add (1,2)=13, w=44\",\"Add (0,3)=27, w=71\",\"Add (1,5)=32, w=103\",\"Add (1,4)=44, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,13],[0,3,27],[0,4,68],[0,5,98],[0,6,85],[0,7,35],[1,2,13],[1,3,81],[1,4,44],[1,5,32],[1,6,12],[1,7,66],[2,3,58],[2,4,75],[2,5,90],[2,7,78],[3,5,35],[3,6,61],[4,5,91],[4,6,81],[4,7,62],[5,7,6],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=6 Succeeded, w=6\",\"Add (1,6)=12 Succeeded, w=18\",\"Add (0,2)=13 Succeeded, w=31\",\"Add (1,2)=13 Succeeded, w=44\",\"Add (0,1)=17 Failed, w=44\",\"Add (0,3)=27 Succeeded, w=71\",\"Add (1,5)=32 Succeeded, w=103\",\"Add (0,7)=35 Failed, w=103\",\"Add (3,5)=35 Failed, w=103\",\"Add (6,7)=35 Failed, w=103\",\"Add (1,4)=44 Succeeded, w=147\",\"Add (2,3)=58 Failed, w=147\",\"Add (3,6)=61 Failed, w=147\",\"Add (4,7)=62 Failed, w=147\",\"Add (1,7)=66 Failed, w=147\",\"Add (0,4)=68 Failed, w=147\",\"Add (2,4)=75 Failed, w=147\",\"Add (2,7)=78 Failed, w=147\",\"Add (1,3)=81 Failed, w=147\",\"Add (4,6)=81 Failed, w=147\",\"Add (0,6)=85 Failed, w=147\",\"Add (2,5)=90 Failed, w=147\",\"Add (4,5)=91 Failed, w=147\",\"Add (0,5)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,13],[0,3,27],[0,4,68],[0,5,98],[0,6,85],[0,7,35],[1,2,13],[1,3,81],[1,4,44],[1,5,32],[1,6,12],[1,7,66],[2,3,58],[2,4,75],[2,5,90],[2,7,78],[3,5,35],[3,6,61],[4,5,91],[4,6,81],[4,7,62],[5,7,6],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(1,6)=12,(0,2)=13,(1,2)=13,(0,1)=17,(0,3)=27,(1,5)=32,(0,7)=35,(3,5)=35,(6,7)=35,(1,4)=44,(2,3)=58,(3,6)=61,(4,7)=62,(1,7)=66,(0,4)=68,(2,4)=75,(2,7)=78,(1,3)=81,(4,6)=81,(0,6)=85,(2,5)=90,(4,5)=91,(0,5)=98]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=31\",\"Find(1)=1, Find(2)=0, Add (1,2)=13 Succeeded, w=44\",\"Find(0)=1, Find(1)=1, Add (0,1)=17 Failed, w=44\",\"Find(0)=1, Find(3)=3, Add (0,3)=27 Succeeded, w=71\",\"Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=103\",\"Find(0)=1, Find(7)=1, Add (0,7)=35 Failed, w=103\",\"Find(3)=1, Find(5)=1, Add (3,5)=35 Failed, w=103\",\"Find(6)=1, Find(7)=1, Add (6,7)=35 Failed, w=103\",\"Find(1)=1, Find(4)=4, Add (1,4)=44 Succeeded, w=147\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=147\",\"Find(3)=1, Find(6)=1, Add (3,6)=61 Failed, w=147\",\"Find(4)=1, Find(7)=1, Add (4,7)=62 Failed, w=147\",\"Find(1)=1, Find(7)=1, Add (1,7)=66 Failed, w=147\",\"Find(0)=1, Find(4)=1, Add (0,4)=68 Failed, w=147\",\"Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=147\",\"Find(2)=1, Find(7)=1, Add (2,7)=78 Failed, w=147\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=147\",\"Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=147\",\"Find(0)=1, Find(6)=1, Add (0,6)=85 Failed, w=147\",\"Find(2)=1, Find(5)=1, Add (2,5)=90 Failed, w=147\",\"Find(4)=1, Find(5)=1, Add (4,5)=91 Failed, w=147\",\"Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,13],[0,3,27],[0,4,68],[0,5,98],[0,6,85],[0,7,35],[1,2,13],[1,3,81],[1,4,44],[1,5,32],[1,6,12],[1,7,66],[2,3,58],[2,4,75],[2,5,90],[2,7,78],[3,5,35],[3,6,61],[4,5,91],[4,6,81],[4,7,62],[5,7,6],[6,7,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=6,(1,6)=12,(0,2)=13,(1,2)=13,(0,1)=17,(0,3)=27,(1,5)=32,(0,7)=35,(3,5)=35,(6,7)=35,(1,4)=44,(2,3)=58,(3,6)=61,(4,7)=62,(1,7)=66,(0,4)=68,(2,4)=75,(2,7)=78,(1,3)=81,(4,6)=81,(0,6)=85,(2,5)=90,(4,5)=91,(0,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 5}, Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1, 7: 5}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1, 7: 5}, Find(1)=1, Find(2)=0, Add (1,2)=13 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 1, 7: 5}, Find(0)=1, Find(1)=1, Add (0,1)=17 Failed, w=44\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 1, 7: 5}, Find(0)=1, Find(3)=3, Add (0,3)=27 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(5)=5, Add (1,5)=32 Succeeded, w=103\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=35 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=35 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=35 Failed, w=103\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=44 Succeeded, w=147\",\"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)=58 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=61 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=62 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=66 Failed, w=147\",\"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)=68 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=147\",\"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)=78 Failed, w=147\",\"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)=81 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=81 Failed, w=147\",\"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)=85 Failed, w=147\",\"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)=90 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=91 Failed, w=147\",\"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)=98 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,46],[1,2,32],[1,3,89],[1,4,2],[2,3,42],[3,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,46],[1,2,32],[1,3,89],[1,4,2],[2,3,42],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,46],[1,2,32],[1,3,89],[1,4,2],[2,3,42],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,46],[1,2,32],[1,3,89],[1,4,2],[2,3,42],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (3,4)=6, w=8\",\"Add (1,2)=32, w=40\",\"Add (0,2)=46, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,46],[1,2,32],[1,3,89],[1,4,2],[2,3,42],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (3,4)=6 Succeeded, w=8\",\"Add (1,2)=32 Succeeded, w=40\",\"Add (2,3)=42 Failed, w=40\",\"Add (0,2)=46 Succeeded, w=86\",\"Add (1,3)=89 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,46],[1,2,32],[1,3,89],[1,4,2],[2,3,42],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,4)=6,(1,2)=32,(2,3)=42,(0,2)=46,(1,3)=89]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=1, Add (3,4)=6 Succeeded, w=8\",\"Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=40\",\"Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=40\",\"Find(0)=0, Find(2)=1, Add (0,2)=46 Succeeded, w=86\",\"Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,46],[1,2,32],[1,3,89],[1,4,2],[2,3,42],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,4)=6,(1,2)=32,(2,3)=42,(0,2)=46,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(3)=3, Find(4)=1, Add (3,4)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=32 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=46 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=1, Add (1,3)=89 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,64],[0,5,68],[1,2,29],[1,3,17],[1,4,88],[1,5,11],[2,3,57],[2,4,43],[2,5,31],[3,4,64],[3,5,15],[4,5,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,68],[1,2,29],[1,3,17],[1,4,88],[1,5,11],[2,3,57],[2,4,43],[2,5,31],[3,4,64],[3,5,15],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,68],[1,2,29],[1,3,17],[1,4,88],[1,5,11],[2,3,57],[2,4,43],[2,5,31],[3,4,64],[3,5,15],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (4,5)\",\"Add (0,4)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,68],[1,2,29],[1,3,17],[1,4,88],[1,5,11],[2,3,57],[2,4,43],[2,5,31],[3,4,64],[3,5,15],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11, w=11\",\"Add (3,5)=15, w=26\",\"Add (1,2)=29, w=55\",\"Add (4,5)=36, w=91\",\"Add (0,4)=64, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,68],[1,2,29],[1,3,17],[1,4,88],[1,5,11],[2,3,57],[2,4,43],[2,5,31],[3,4,64],[3,5,15],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=11 Succeeded, w=11\",\"Add (3,5)=15 Succeeded, w=26\",\"Add (1,3)=17 Failed, w=26\",\"Add (1,2)=29 Succeeded, w=55\",\"Add (2,5)=31 Failed, w=55\",\"Add (4,5)=36 Succeeded, w=91\",\"Add (2,4)=43 Failed, w=91\",\"Add (2,3)=57 Failed, w=91\",\"Add (0,4)=64 Succeeded, w=155\",\"Add (3,4)=64 Failed, w=155\",\"Add (0,5)=68 Failed, 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\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,68],[1,2,29],[1,3,17],[1,4,88],[1,5,11],[2,3,57],[2,4,43],[2,5,31],[3,4,64],[3,5,15],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(3,5)=15,(1,3)=17,(1,2)=29,(2,5)=31,(4,5)=36,(2,4)=43,(2,3)=57,(0,4)=64,(3,4)=64,(0,5)=68,(1,4)=88]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Find(3)=3, Find(5)=1, Add (3,5)=15 Succeeded, w=26\",\"Find(1)=1, Find(3)=1, Add (1,3)=17 Failed, w=26\",\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=55\",\"Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=55\",\"Find(4)=4, Find(5)=1, Add (4,5)=36 Succeeded, w=91\",\"Find(2)=1, Find(4)=1, Add (2,4)=43 Failed, w=91\",\"Find(2)=1, Find(3)=1, Add (2,3)=57 Failed, w=91\",\"Find(0)=0, Find(4)=1, Add (0,4)=64 Succeeded, w=155\",\"Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=155\",\"Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=155\",\"Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,64],[0,5,68],[1,2,29],[1,3,17],[1,4,88],[1,5,11],[2,3,57],[2,4,43],[2,5,31],[3,4,64],[3,5,15],[4,5,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=11,(3,5)=15,(1,3)=17,(1,2)=29,(2,5)=31,(4,5)=36,(2,4)=43,(2,3)=57,(0,4)=64,(3,4)=64,(0,5)=68,(1,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=17 Failed, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=55\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=36 Succeeded, w=91\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=43 Failed, w=91\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=57 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=64 Succeeded, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=64 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,9],[0,3,73],[0,5,26],[0,6,56],[1,2,9],[1,3,56],[1,4,24],[1,6,41],[2,3,42],[2,4,85],[2,5,27],[2,6,3],[3,4,0],[3,5,53],[4,6,27],[5,6,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,3,73],[0,5,26],[0,6,56],[1,2,9],[1,3,56],[1,4,24],[1,6,41],[2,3,42],[2,4,85],[2,5,27],[2,6,3],[3,4,0],[3,5,53],[4,6,27],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,3,73],[0,5,26],[0,6,56],[1,2,9],[1,3,56],[1,4,24],[1,6,41],[2,3,42],[2,4,85],[2,5,27],[2,6,3],[3,4,0],[3,5,53],[4,6,27],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,6)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,5)\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,3,73],[0,5,26],[0,6,56],[1,2,9],[1,3,56],[1,4,24],[1,6,41],[2,3,42],[2,4,85],[2,5,27],[2,6,3],[3,4,0],[3,5,53],[4,6,27],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0, w=0\",\"Add (2,6)=3, w=3\",\"Add (0,2)=9, w=12\",\"Add (1,2)=9, w=21\",\"Add (1,4)=24, w=45\",\"Add (0,5)=26, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,3,73],[0,5,26],[0,6,56],[1,2,9],[1,3,56],[1,4,24],[1,6,41],[2,3,42],[2,4,85],[2,5,27],[2,6,3],[3,4,0],[3,5,53],[4,6,27],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=0 Succeeded, w=0\",\"Add (2,6)=3 Succeeded, w=3\",\"Add (0,2)=9 Succeeded, w=12\",\"Add (1,2)=9 Succeeded, w=21\",\"Add (1,4)=24 Succeeded, w=45\",\"Add (0,5)=26 Succeeded, w=71\",\"Add (2,5)=27 Failed, w=71\",\"Add (4,6)=27 Failed, w=71\",\"Add (1,6)=41 Failed, w=71\",\"Add (2,3)=42 Failed, w=71\",\"Add (3,5)=53 Failed, w=71\",\"Add (0,6)=56 Failed, w=71\",\"Add (1,3)=56 Failed, w=71\",\"Add (0,3)=73 Failed, w=71\",\"Add (2,4)=85 Failed, w=71\",\"Add (5,6)=87 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,3,73],[0,5,26],[0,6,56],[1,2,9],[1,3,56],[1,4,24],[1,6,41],[2,3,42],[2,4,85],[2,5,27],[2,6,3],[3,4,0],[3,5,53],[4,6,27],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(2,6)=3,(0,2)=9,(1,2)=9,(1,4)=24,(0,5)=26,(2,5)=27,(4,6)=27,(1,6)=41,(2,3)=42,(3,5)=53,(0,6)=56,(1,3)=56,(0,3)=73,(2,4)=85,(5,6)=87]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=3\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=12\",\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=21\",\"Find(1)=2, Find(4)=3, Add (1,4)=24 Succeeded, w=45\",\"Find(0)=2, Find(5)=5, Add (0,5)=26 Succeeded, w=71\",\"Find(2)=2, Find(5)=2, Add (2,5)=27 Failed, w=71\",\"Find(4)=2, Find(6)=2, Add (4,6)=27 Failed, w=71\",\"Find(1)=2, Find(6)=2, Add (1,6)=41 Failed, w=71\",\"Find(2)=2, Find(3)=2, Add (2,3)=42 Failed, w=71\",\"Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=71\",\"Find(0)=2, Find(6)=2, Add (0,6)=56 Failed, w=71\",\"Find(1)=2, Find(3)=2, Add (1,3)=56 Failed, w=71\",\"Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=71\",\"Find(2)=2, Find(4)=2, Add (2,4)=85 Failed, w=71\",\"Find(5)=2, Find(6)=2, Add (5,6)=87 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,9],[0,3,73],[0,5,26],[0,6,56],[1,2,9],[1,3,56],[1,4,24],[1,6,41],[2,3,42],[2,4,85],[2,5,27],[2,6,3],[3,4,0],[3,5,53],[4,6,27],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=0,(2,6)=3,(0,2)=9,(1,2)=9,(1,4)=24,(0,5)=26,(2,5)=27,(4,6)=27,(1,6)=41,(2,3)=42,(3,5)=53,(0,6)=56,(1,3)=56,(0,3)=73,(2,4)=85,(5,6)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=12\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=21\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 5, 6: 2}, Find(1)=2, Find(4)=3, Add (1,4)=24 Succeeded, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(0)=2, Find(5)=5, Add (0,5)=26 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=27 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=27 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=41 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=42 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=56 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=56 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=73 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=85 Failed, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=87 Failed, w=71\"],\"Answer\":71}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,57],[0,3,21],[1,2,14],[1,3,11],[1,4,81],[1,5,30],[1,7,29],[2,3,31],[2,6,80],[2,7,29],[3,4,80],[3,6,36],[3,7,75],[4,6,67],[4,7,59],[5,6,87],[6,7,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,21],[1,2,14],[1,3,11],[1,4,81],[1,5,30],[1,7,29],[2,3,31],[2,6,80],[2,7,29],[3,4,80],[3,6,36],[3,7,75],[4,6,67],[4,7,59],[5,6,87],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,21],[1,2,14],[1,3,11],[1,4,81],[1,5,30],[1,7,29],[2,3,31],[2,6,80],[2,7,29],[3,4,80],[3,6,36],[3,7,75],[4,6,67],[4,7,59],[5,6,87],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (1,7)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (4,7)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,21],[1,2,14],[1,3,11],[1,4,81],[1,5,30],[1,7,29],[2,3,31],[2,6,80],[2,7,29],[3,4,80],[3,6,36],[3,7,75],[4,6,67],[4,7,59],[5,6,87],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (1,2)=14, w=25\",\"Add (0,3)=21, w=46\",\"Add (1,7)=29, w=75\",\"Add (1,5)=30, w=105\",\"Add (3,6)=36, w=141\",\"Add (4,7)=59, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,21],[1,2,14],[1,3,11],[1,4,81],[1,5,30],[1,7,29],[2,3,31],[2,6,80],[2,7,29],[3,4,80],[3,6,36],[3,7,75],[4,6,67],[4,7,59],[5,6,87],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (1,2)=14 Succeeded, w=25\",\"Add (0,3)=21 Succeeded, w=46\",\"Add (1,7)=29 Succeeded, w=75\",\"Add (2,7)=29 Failed, w=75\",\"Add (1,5)=30 Succeeded, w=105\",\"Add (2,3)=31 Failed, w=105\",\"Add (3,6)=36 Succeeded, w=141\",\"Add (0,1)=57 Failed, w=141\",\"Add (4,7)=59 Succeeded, w=200\",\"Add (4,6)=67 Failed, w=200\",\"Add (3,7)=75 Failed, w=200\",\"Add (2,6)=80 Failed, w=200\",\"Add (3,4)=80 Failed, w=200\",\"Add (1,4)=81 Failed, w=200\",\"Add (5,6)=87 Failed, w=200\",\"Add (6,7)=97 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,21],[1,2,14],[1,3,11],[1,4,81],[1,5,30],[1,7,29],[2,3,31],[2,6,80],[2,7,29],[3,4,80],[3,6,36],[3,7,75],[4,6,67],[4,7,59],[5,6,87],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(1,2)=14,(0,3)=21,(1,7)=29,(2,7)=29,(1,5)=30,(2,3)=31,(3,6)=36,(0,1)=57,(4,7)=59,(4,6)=67,(3,7)=75,(2,6)=80,(3,4)=80,(1,4)=81,(5,6)=87,(6,7)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=25\",\"Find(0)=0, Find(3)=1, Add (0,3)=21 Succeeded, w=46\",\"Find(1)=1, Find(7)=7, Add (1,7)=29 Succeeded, w=75\",\"Find(2)=1, Find(7)=1, Add (2,7)=29 Failed, w=75\",\"Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=105\",\"Find(2)=1, Find(3)=1, Add (2,3)=31 Failed, w=105\",\"Find(3)=1, Find(6)=6, Add (3,6)=36 Succeeded, w=141\",\"Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=141\",\"Find(4)=4, Find(7)=1, Add (4,7)=59 Succeeded, w=200\",\"Find(4)=1, Find(6)=1, Add (4,6)=67 Failed, w=200\",\"Find(3)=1, Find(7)=1, Add (3,7)=75 Failed, w=200\",\"Find(2)=1, Find(6)=1, Add (2,6)=80 Failed, w=200\",\"Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=200\",\"Find(1)=1, Find(4)=1, Add (1,4)=81 Failed, w=200\",\"Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=200\",\"Find(6)=1, Find(7)=1, Add (6,7)=97 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,57],[0,3,21],[1,2,14],[1,3,11],[1,4,81],[1,5,30],[1,7,29],[2,3,31],[2,6,80],[2,7,29],[3,4,80],[3,6,36],[3,7,75],[4,6,67],[4,7,59],[5,6,87],[6,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(1,2)=14,(0,3)=21,(1,7)=29,(2,7)=29,(1,5)=30,(2,3)=31,(3,6)=36,(0,1)=57,(4,7)=59,(4,6)=67,(3,7)=75,(2,6)=80,(3,4)=80,(1,4)=81,(5,6)=87,(6,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=1, Add (0,3)=21 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=29 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=29 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=31 Failed, w=105\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=6, Add (3,6)=36 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=57 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=59 Succeeded, w=200\",\"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)=67 Failed, w=200\",\"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)=75 Failed, w=200\",\"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)=80 Failed, w=200\",\"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)=80 Failed, w=200\",\"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)=81 Failed, w=200\",\"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)=87 Failed, w=200\",\"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)=97 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,65],[0,3,78],[0,4,10],[0,5,98],[0,6,62],[0,7,14],[1,2,14],[1,3,3],[1,4,41],[1,5,75],[1,6,27],[1,7,58],[2,3,49],[2,4,40],[2,5,94],[2,6,54],[2,7,87],[3,5,54],[3,6,32],[3,7,83],[4,5,13],[4,6,25],[4,7,17],[5,6,100],[5,7,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,65],[0,3,78],[0,4,10],[0,5,98],[0,6,62],[0,7,14],[1,2,14],[1,3,3],[1,4,41],[1,5,75],[1,6,27],[1,7,58],[2,3,49],[2,4,40],[2,5,94],[2,6,54],[2,7,87],[3,5,54],[3,6,32],[3,7,83],[4,5,13],[4,6,25],[4,7,17],[5,6,100],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,65],[0,3,78],[0,4,10],[0,5,98],[0,6,62],[0,7,14],[1,2,14],[1,3,3],[1,4,41],[1,5,75],[1,6,27],[1,7,58],[2,3,49],[2,4,40],[2,5,94],[2,6,54],[2,7,87],[3,5,54],[3,6,32],[3,7,83],[4,5,13],[4,6,25],[4,7,17],[5,6,100],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (0,7)\",\"Add (1,2)\",\"Add (4,6)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,65],[0,3,78],[0,4,10],[0,5,98],[0,6,62],[0,7,14],[1,2,14],[1,3,3],[1,4,41],[1,5,75],[1,6,27],[1,7,58],[2,3,49],[2,4,40],[2,5,94],[2,6,54],[2,7,87],[3,5,54],[3,6,32],[3,7,83],[4,5,13],[4,6,25],[4,7,17],[5,6,100],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (0,1)=4, w=7\",\"Add (0,4)=10, w=17\",\"Add (4,5)=13, w=30\",\"Add (0,7)=14, w=44\",\"Add (1,2)=14, w=58\",\"Add (4,6)=25, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,65],[0,3,78],[0,4,10],[0,5,98],[0,6,62],[0,7,14],[1,2,14],[1,3,3],[1,4,41],[1,5,75],[1,6,27],[1,7,58],[2,3,49],[2,4,40],[2,5,94],[2,6,54],[2,7,87],[3,5,54],[3,6,32],[3,7,83],[4,5,13],[4,6,25],[4,7,17],[5,6,100],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (0,1)=4 Succeeded, w=7\",\"Add (0,4)=10 Succeeded, w=17\",\"Add (4,5)=13 Succeeded, w=30\",\"Add (0,7)=14 Succeeded, w=44\",\"Add (1,2)=14 Succeeded, w=58\",\"Add (4,7)=17 Failed, w=58\",\"Add (4,6)=25 Succeeded, w=83\",\"Add (1,6)=27 Failed, w=83\",\"Add (3,6)=32 Failed, w=83\",\"Add (2,4)=40 Failed, w=83\",\"Add (1,4)=41 Failed, w=83\",\"Add (2,3)=49 Failed, w=83\",\"Add (2,6)=54 Failed, w=83\",\"Add (3,5)=54 Failed, w=83\",\"Add (1,7)=58 Failed, w=83\",\"Add (0,6)=62 Failed, w=83\",\"Add (0,2)=65 Failed, w=83\",\"Add (1,5)=75 Failed, w=83\",\"Add (0,3)=78 Failed, w=83\",\"Add (3,7)=83 Failed, w=83\",\"Add (2,7)=87 Failed, w=83\",\"Add (2,5)=94 Failed, w=83\",\"Add (5,7)=97 Failed, w=83\",\"Add (0,5)=98 Failed, w=83\",\"Add (5,6)=100 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,65],[0,3,78],[0,4,10],[0,5,98],[0,6,62],[0,7,14],[1,2,14],[1,3,3],[1,4,41],[1,5,75],[1,6,27],[1,7,58],[2,3,49],[2,4,40],[2,5,94],[2,6,54],[2,7,87],[3,5,54],[3,6,32],[3,7,83],[4,5,13],[4,6,25],[4,7,17],[5,6,100],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,1)=4,(0,4)=10,(4,5)=13,(0,7)=14,(1,2)=14,(4,7)=17,(4,6)=25,(1,6)=27,(3,6)=32,(2,4)=40,(1,4)=41,(2,3)=49,(2,6)=54,(3,5)=54,(1,7)=58,(0,6)=62,(0,2)=65,(1,5)=75,(0,3)=78,(3,7)=83,(2,7)=87,(2,5)=94,(5,7)=97,(0,5)=98,(5,6)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Find(0)=1, Find(4)=4, Add (0,4)=10 Succeeded, w=17\",\"Find(4)=1, Find(5)=5, Add (4,5)=13 Succeeded, w=30\",\"Find(0)=1, Find(7)=7, Add (0,7)=14 Succeeded, w=44\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=58\",\"Find(4)=1, Find(7)=1, Add (4,7)=17 Failed, w=58\",\"Find(4)=1, Find(6)=6, Add (4,6)=25 Succeeded, w=83\",\"Find(1)=1, Find(6)=1, Add (1,6)=27 Failed, w=83\",\"Find(3)=1, Find(6)=1, Add (3,6)=32 Failed, w=83\",\"Find(2)=1, Find(4)=1, Add (2,4)=40 Failed, w=83\",\"Find(1)=1, Find(4)=1, Add (1,4)=41 Failed, w=83\",\"Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=83\",\"Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=83\",\"Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=83\",\"Find(1)=1, Find(7)=1, Add (1,7)=58 Failed, w=83\",\"Find(0)=1, Find(6)=1, Add (0,6)=62 Failed, w=83\",\"Find(0)=1, Find(2)=1, Add (0,2)=65 Failed, w=83\",\"Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=83\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=83\",\"Find(3)=1, Find(7)=1, Add (3,7)=83 Failed, w=83\",\"Find(2)=1, Find(7)=1, Add (2,7)=87 Failed, w=83\",\"Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=83\",\"Find(5)=1, Find(7)=1, Add (5,7)=97 Failed, w=83\",\"Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=83\",\"Find(5)=1, Find(6)=1, Add (5,6)=100 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,65],[0,3,78],[0,4,10],[0,5,98],[0,6,62],[0,7,14],[1,2,14],[1,3,3],[1,4,41],[1,5,75],[1,6,27],[1,7,58],[2,3,49],[2,4,40],[2,5,94],[2,6,54],[2,7,87],[3,5,54],[3,6,32],[3,7,83],[4,5,13],[4,6,25],[4,7,17],[5,6,100],[5,7,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,1)=4,(0,4)=10,(4,5)=13,(0,7)=14,(1,2)=14,(4,7)=17,(4,6)=25,(1,6)=27,(3,6)=32,(2,4)=40,(1,4)=41,(2,3)=49,(2,6)=54,(3,5)=54,(1,7)=58,(0,6)=62,(0,2)=65,(1,5)=75,(0,3)=78,(3,7)=83,(2,7)=87,(2,5)=94,(5,7)=97,(0,5)=98,(5,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=1, Find(4)=4, Add (0,4)=10 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 7}, Find(4)=1, Find(5)=5, Add (4,5)=13 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(7)=7, Add (0,7)=14 Succeeded, w=44\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=17 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=6, Add (4,6)=25 Succeeded, w=83\",\"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)=27 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=32 Failed, w=83\",\"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)=40 Failed, w=83\",\"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)=41 Failed, w=83\",\"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)=49 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=54 Failed, w=83\",\"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)=54 Failed, w=83\",\"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)=58 Failed, w=83\",\"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)=62 Failed, w=83\",\"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)=65 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=75 Failed, w=83\",\"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)=78 Failed, w=83\",\"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)=83 Failed, w=83\",\"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)=87 Failed, w=83\",\"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=83\",\"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)=97 Failed, w=83\",\"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)=98 Failed, w=83\",\"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=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,85],[0,2,76],[0,3,37],[0,4,76],[0,7,48],[1,2,5],[1,3,77],[1,5,99],[1,6,48],[1,7,78],[2,3,3],[2,4,93],[2,5,0],[2,6,35],[3,4,65],[3,5,38],[3,6,1],[3,7,47],[4,5,78],[4,7,33],[5,6,27],[5,7,41],[6,7,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,85],[0,2,76],[0,3,37],[0,4,76],[0,7,48],[1,2,5],[1,3,77],[1,5,99],[1,6,48],[1,7,78],[2,3,3],[2,4,93],[2,5,0],[2,6,35],[3,4,65],[3,5,38],[3,6,1],[3,7,47],[4,5,78],[4,7,33],[5,6,27],[5,7,41],[6,7,93]]}",
"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\":[[0,1,85],[0,2,76],[0,3,37],[0,4,76],[0,7,48],[1,2,5],[1,3,77],[1,5,99],[1,6,48],[1,7,78],[2,3,3],[2,4,93],[2,5,0],[2,6,35],[3,4,65],[3,5,38],[3,6,1],[3,7,47],[4,5,78],[4,7,33],[5,6,27],[5,7,41],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (4,7)\",\"Add (0,3)\",\"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\":[[0,1,85],[0,2,76],[0,3,37],[0,4,76],[0,7,48],[1,2,5],[1,3,77],[1,5,99],[1,6,48],[1,7,78],[2,3,3],[2,4,93],[2,5,0],[2,6,35],[3,4,65],[3,5,38],[3,6,1],[3,7,47],[4,5,78],[4,7,33],[5,6,27],[5,7,41],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (3,6)=1, w=1\",\"Add (2,3)=3, w=4\",\"Add (1,2)=5, w=9\",\"Add (4,7)=33, w=42\",\"Add (0,3)=37, w=79\",\"Add (5,7)=41, 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\":[[0,1,85],[0,2,76],[0,3,37],[0,4,76],[0,7,48],[1,2,5],[1,3,77],[1,5,99],[1,6,48],[1,7,78],[2,3,3],[2,4,93],[2,5,0],[2,6,35],[3,4,65],[3,5,38],[3,6,1],[3,7,47],[4,5,78],[4,7,33],[5,6,27],[5,7,41],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (3,6)=1 Succeeded, w=1\",\"Add (2,3)=3 Succeeded, w=4\",\"Add (1,2)=5 Succeeded, w=9\",\"Add (5,6)=27 Failed, w=9\",\"Add (4,7)=33 Succeeded, w=42\",\"Add (2,6)=35 Failed, w=42\",\"Add (0,3)=37 Succeeded, w=79\",\"Add (3,5)=38 Failed, w=79\",\"Add (5,7)=41 Succeeded, w=120\",\"Add (3,7)=47 Failed, w=120\",\"Add (0,7)=48 Failed, w=120\",\"Add (1,6)=48 Failed, w=120\",\"Add (3,4)=65 Failed, w=120\",\"Add (0,2)=76 Failed, w=120\",\"Add (0,4)=76 Failed, w=120\",\"Add (1,3)=77 Failed, w=120\",\"Add (1,7)=78 Failed, w=120\",\"Add (4,5)=78 Failed, w=120\",\"Add (0,1)=85 Failed, w=120\",\"Add (2,4)=93 Failed, w=120\",\"Add (6,7)=93 Failed, w=120\",\"Add (1,5)=99 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\":[[0,1,85],[0,2,76],[0,3,37],[0,4,76],[0,7,48],[1,2,5],[1,3,77],[1,5,99],[1,6,48],[1,7,78],[2,3,3],[2,4,93],[2,5,0],[2,6,35],[3,4,65],[3,5,38],[3,6,1],[3,7,47],[4,5,78],[4,7,33],[5,6,27],[5,7,41],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(3,6)=1,(2,3)=3,(1,2)=5,(5,6)=27,(4,7)=33,(2,6)=35,(0,3)=37,(3,5)=38,(5,7)=41,(3,7)=47,(0,7)=48,(1,6)=48,(3,4)=65,(0,2)=76,(0,4)=76,(1,3)=77,(1,7)=78,(4,5)=78,(0,1)=85,(2,4)=93,(6,7)=93,(1,5)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=4\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Find(5)=2, Find(6)=2, Add (5,6)=27 Failed, w=9\",\"Find(4)=4, Find(7)=7, Add (4,7)=33 Succeeded, w=42\",\"Find(2)=2, Find(6)=2, Add (2,6)=35 Failed, w=42\",\"Find(0)=0, Find(3)=2, Add (0,3)=37 Succeeded, w=79\",\"Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=79\",\"Find(5)=2, Find(7)=4, Add (5,7)=41 Succeeded, w=120\",\"Find(3)=2, Find(7)=2, Add (3,7)=47 Failed, w=120\",\"Find(0)=2, Find(7)=2, Add (0,7)=48 Failed, w=120\",\"Find(1)=2, Find(6)=2, Add (1,6)=48 Failed, w=120\",\"Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=120\",\"Find(0)=2, Find(2)=2, Add (0,2)=76 Failed, w=120\",\"Find(0)=2, Find(4)=2, Add (0,4)=76 Failed, w=120\",\"Find(1)=2, Find(3)=2, Add (1,3)=77 Failed, w=120\",\"Find(1)=2, Find(7)=2, Add (1,7)=78 Failed, w=120\",\"Find(4)=2, Find(5)=2, Add (4,5)=78 Failed, w=120\",\"Find(0)=2, Find(1)=2, Add (0,1)=85 Failed, w=120\",\"Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=120\",\"Find(6)=2, Find(7)=2, Add (6,7)=93 Failed, w=120\",\"Find(1)=2, Find(5)=2, Add (1,5)=99 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\":[[0,1,85],[0,2,76],[0,3,37],[0,4,76],[0,7,48],[1,2,5],[1,3,77],[1,5,99],[1,6,48],[1,7,78],[2,3,3],[2,4,93],[2,5,0],[2,6,35],[3,4,65],[3,5,38],[3,6,1],[3,7,47],[4,5,78],[4,7,33],[5,6,27],[5,7,41],[6,7,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(3,6)=1,(2,3)=3,(1,2)=5,(5,6)=27,(4,7)=33,(2,6)=35,(0,3)=37,(3,5)=38,(5,7)=41,(3,7)=47,(0,7)=48,(1,6)=48,(3,4)=65,(0,2)=76,(0,4)=76,(1,3)=77,(1,7)=78,(4,5)=78,(0,1)=85,(2,4)=93,(6,7)=93,(1,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=2, Add (5,6)=27 Failed, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=33 Succeeded, w=42\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 4}, Find(2)=2, Find(6)=2, Add (2,6)=35 Failed, w=42\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 4}, Find(0)=0, Find(3)=2, Add (0,3)=37 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 4}, Find(3)=2, Find(5)=2, Add (3,5)=38 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(5)=2, Find(7)=4, Add (5,7)=41 Succeeded, w=120\",\"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)=47 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)=48 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=48 Failed, w=120\",\"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)=65 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)=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(4)=2, Add (0,4)=76 Failed, w=120\",\"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)=77 Failed, w=120\",\"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)=78 Failed, 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)=78 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)=85 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)=93 Failed, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=93 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)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,2,47],[0,3,59],[0,5,24],[0,6,63],[1,2,46],[1,5,95],[1,6,72],[2,4,69],[2,5,78],[2,6,19],[3,4,90],[3,5,8],[3,6,6],[4,5,48],[4,6,27],[5,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,47],[0,3,59],[0,5,24],[0,6,63],[1,2,46],[1,5,95],[1,6,72],[2,4,69],[2,5,78],[2,6,19],[3,4,90],[3,5,8],[3,6,6],[4,5,48],[4,6,27],[5,6,83]]}",
"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\":[[0,1,27],[0,2,47],[0,3,59],[0,5,24],[0,6,63],[1,2,46],[1,5,95],[1,6,72],[2,4,69],[2,5,78],[2,6,19],[3,4,90],[3,5,8],[3,6,6],[4,5,48],[4,6,27],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (4,6)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,2,47],[0,3,59],[0,5,24],[0,6,63],[1,2,46],[1,5,95],[1,6,72],[2,4,69],[2,5,78],[2,6,19],[3,4,90],[3,5,8],[3,6,6],[4,5,48],[4,6,27],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=6, w=6\",\"Add (3,5)=8, w=14\",\"Add (2,6)=19, w=33\",\"Add (0,5)=24, w=57\",\"Add (0,1)=27, w=84\",\"Add (4,6)=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],\"edges\":[[0,1,27],[0,2,47],[0,3,59],[0,5,24],[0,6,63],[1,2,46],[1,5,95],[1,6,72],[2,4,69],[2,5,78],[2,6,19],[3,4,90],[3,5,8],[3,6,6],[4,5,48],[4,6,27],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=6 Succeeded, w=6\",\"Add (3,5)=8 Succeeded, w=14\",\"Add (2,6)=19 Succeeded, w=33\",\"Add (0,5)=24 Succeeded, w=57\",\"Add (0,1)=27 Succeeded, w=84\",\"Add (4,6)=27 Succeeded, w=111\",\"Add (1,2)=46 Failed, w=111\",\"Add (0,2)=47 Failed, w=111\",\"Add (4,5)=48 Failed, w=111\",\"Add (0,3)=59 Failed, w=111\",\"Add (0,6)=63 Failed, w=111\",\"Add (2,4)=69 Failed, w=111\",\"Add (1,6)=72 Failed, w=111\",\"Add (2,5)=78 Failed, w=111\",\"Add (5,6)=83 Failed, w=111\",\"Add (3,4)=90 Failed, w=111\",\"Add (1,5)=95 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\":[[0,1,27],[0,2,47],[0,3,59],[0,5,24],[0,6,63],[1,2,46],[1,5,95],[1,6,72],[2,4,69],[2,5,78],[2,6,19],[3,4,90],[3,5,8],[3,6,6],[4,5,48],[4,6,27],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=6,(3,5)=8,(2,6)=19,(0,5)=24,(0,1)=27,(4,6)=27,(1,2)=46,(0,2)=47,(4,5)=48,(0,3)=59,(0,6)=63,(2,4)=69,(1,6)=72,(2,5)=78,(5,6)=83,(3,4)=90,(1,5)=95]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=6\",\"Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=14\",\"Find(2)=2, Find(6)=3, Add (2,6)=19 Succeeded, w=33\",\"Find(0)=0, Find(5)=3, Add (0,5)=24 Succeeded, w=57\",\"Find(0)=3, Find(1)=1, Add (0,1)=27 Succeeded, w=84\",\"Find(4)=4, Find(6)=3, Add (4,6)=27 Succeeded, w=111\",\"Find(1)=3, Find(2)=3, Add (1,2)=46 Failed, w=111\",\"Find(0)=3, Find(2)=3, Add (0,2)=47 Failed, w=111\",\"Find(4)=3, Find(5)=3, Add (4,5)=48 Failed, w=111\",\"Find(0)=3, Find(3)=3, Add (0,3)=59 Failed, w=111\",\"Find(0)=3, Find(6)=3, Add (0,6)=63 Failed, w=111\",\"Find(2)=3, Find(4)=3, Add (2,4)=69 Failed, w=111\",\"Find(1)=3, Find(6)=3, Add (1,6)=72 Failed, w=111\",\"Find(2)=3, Find(5)=3, Add (2,5)=78 Failed, w=111\",\"Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=111\",\"Find(3)=3, Find(4)=3, Add (3,4)=90 Failed, w=111\",\"Find(1)=3, Find(5)=3, Add (1,5)=95 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\":[[0,1,27],[0,2,47],[0,3,59],[0,5,24],[0,6,63],[1,2,46],[1,5,95],[1,6,72],[2,4,69],[2,5,78],[2,6,19],[3,4,90],[3,5,8],[3,6,6],[4,5,48],[4,6,27],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=6,(3,5)=8,(2,6)=19,(0,5)=24,(0,1)=27,(4,6)=27,(1,2)=46,(0,2)=47,(4,5)=48,(0,3)=59,(0,6)=63,(2,4)=69,(1,6)=72,(2,5)=78,(5,6)=83,(3,4)=90,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3}, Find(3)=3, Find(5)=5, Add (3,5)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(2)=2, Find(6)=3, Add (2,6)=19 Succeeded, w=33\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=0, Find(5)=3, Add (0,5)=24 Succeeded, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=3, Find(1)=1, Add (0,1)=27 Succeeded, w=84\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=4, Find(6)=3, Add (4,6)=27 Succeeded, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=46 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(2)=3, Add (0,2)=47 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=48 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=59 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(6)=3, Add (0,6)=63 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(4)=3, Add (2,4)=69 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=72 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=3, Add (2,5)=78 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=3, Add (3,4)=90 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=95 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,54],[1,3,69],[1,4,51],[2,3,97],[3,5,52],[4,5,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[1,3,69],[1,4,51],[2,3,97],[3,5,52],[4,5,17]]}",
"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],\"edges\":[[0,4,54],[1,3,69],[1,4,51],[2,3,97],[3,5,52],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[1,3,69],[1,4,51],[2,3,97],[3,5,52],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=17, w=17\",\"Add (1,4)=51, w=68\",\"Add (3,5)=52, w=120\",\"Add (0,4)=54, w=174\",\"Add (2,3)=97, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[1,3,69],[1,4,51],[2,3,97],[3,5,52],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=17 Succeeded, w=17\",\"Add (1,4)=51 Succeeded, w=68\",\"Add (3,5)=52 Succeeded, w=120\",\"Add (0,4)=54 Succeeded, w=174\",\"Add (1,3)=69 Failed, w=174\",\"Add (2,3)=97 Succeeded, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[1,3,69],[1,4,51],[2,3,97],[3,5,52],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=17,(1,4)=51,(3,5)=52,(0,4)=54,(1,3)=69,(2,3)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=17 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=51 Succeeded, w=68\",\"Find(3)=3, Find(5)=4, Add (3,5)=52 Succeeded, w=120\",\"Find(0)=0, Find(4)=4, Add (0,4)=54 Succeeded, w=174\",\"Find(1)=4, Find(3)=4, Add (1,3)=69 Failed, w=174\",\"Find(2)=2, Find(3)=4, Add (2,3)=97 Succeeded, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,54],[1,3,69],[1,4,51],[2,3,97],[3,5,52],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=17,(1,4)=51,(3,5)=52,(0,4)=54,(1,3)=69,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=51 Succeeded, w=68\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=52 Succeeded, w=120\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=54 Succeeded, w=174\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=69 Failed, w=174\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(3)=4, Add (2,3)=97 Succeeded, w=271\"],\"Answer\":271}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,77],[0,4,64],[0,5,34],[1,2,70],[1,3,3],[2,3,41],[3,4,81],[3,5,84],[3,6,33],[3,7,76],[4,5,1],[4,7,53],[5,6,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,4,64],[0,5,34],[1,2,70],[1,3,3],[2,3,41],[3,4,81],[3,5,84],[3,6,33],[3,7,76],[4,5,1],[4,7,53],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,4,64],[0,5,34],[1,2,70],[1,3,3],[2,3,41],[3,4,81],[3,5,84],[3,6,33],[3,7,76],[4,5,1],[4,7,53],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (5,6)\"],\"Answer\":221}",
"role": "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],[0,4,64],[0,5,34],[1,2,70],[1,3,3],[2,3,41],[3,4,81],[3,5,84],[3,6,33],[3,7,76],[4,5,1],[4,7,53],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (1,3)=3, w=4\",\"Add (3,6)=33, w=37\",\"Add (0,5)=34, w=71\",\"Add (2,3)=41, w=112\",\"Add (4,7)=53, w=165\",\"Add (5,6)=56, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,4,64],[0,5,34],[1,2,70],[1,3,3],[2,3,41],[3,4,81],[3,5,84],[3,6,33],[3,7,76],[4,5,1],[4,7,53],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (1,3)=3 Succeeded, w=4\",\"Add (3,6)=33 Succeeded, w=37\",\"Add (0,5)=34 Succeeded, w=71\",\"Add (2,3)=41 Succeeded, w=112\",\"Add (4,7)=53 Succeeded, w=165\",\"Add (5,6)=56 Succeeded, w=221\",\"Add (0,4)=64 Failed, w=221\",\"Add (1,2)=70 Failed, w=221\",\"Add (3,7)=76 Failed, w=221\",\"Add (0,1)=77 Failed, w=221\",\"Add (3,4)=81 Failed, w=221\",\"Add (3,5)=84 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,4,64],[0,5,34],[1,2,70],[1,3,3],[2,3,41],[3,4,81],[3,5,84],[3,6,33],[3,7,76],[4,5,1],[4,7,53],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,3)=3,(3,6)=33,(0,5)=34,(2,3)=41,(4,7)=53,(5,6)=56,(0,4)=64,(1,2)=70,(3,7)=76,(0,1)=77,(3,4)=81,(3,5)=84]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Find(3)=1, Find(6)=6, Add (3,6)=33 Succeeded, w=37\",\"Find(0)=0, Find(5)=4, Add (0,5)=34 Succeeded, w=71\",\"Find(2)=2, Find(3)=1, Add (2,3)=41 Succeeded, w=112\",\"Find(4)=4, Find(7)=7, Add (4,7)=53 Succeeded, w=165\",\"Find(5)=4, Find(6)=1, Add (5,6)=56 Succeeded, w=221\",\"Find(0)=4, Find(4)=4, Add (0,4)=64 Failed, w=221\",\"Find(1)=4, Find(2)=4, Add (1,2)=70 Failed, w=221\",\"Find(3)=4, Find(7)=4, Add (3,7)=76 Failed, w=221\",\"Find(0)=4, Find(1)=4, Add (0,1)=77 Failed, w=221\",\"Find(3)=4, Find(4)=4, Add (3,4)=81 Failed, w=221\",\"Find(3)=4, Find(5)=4, Add (3,5)=84 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,4,64],[0,5,34],[1,2,70],[1,3,3],[2,3,41],[3,4,81],[3,5,84],[3,6,33],[3,7,76],[4,5,1],[4,7,53],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,3)=3,(3,6)=33,(0,5)=34,(2,3)=41,(4,7)=53,(5,6)=56,(0,4)=64,(1,2)=70,(3,7)=76,(0,1)=77,(3,4)=81,(3,5)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 1, 7: 7}, Find(3)=1, Find(6)=6, Add (3,6)=33 Succeeded, w=37\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 1, 7: 7}, Find(0)=0, Find(5)=4, Add (0,5)=34 Succeeded, w=71\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1, 7: 7}, Find(2)=2, Find(3)=1, Add (2,3)=41 Succeeded, w=112\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=53 Succeeded, w=165\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1, 7: 4}, Find(5)=4, Find(6)=1, Add (5,6)=56 Succeeded, w=221\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=64 Failed, w=221\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 1, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=70 Failed, w=221\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=76 Failed, w=221\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=77 Failed, w=221\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=81 Failed, w=221\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 1, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=84 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,93],[0,2,48],[0,3,55],[0,4,11],[0,5,6],[0,6,60],[1,2,11],[1,3,93],[1,5,97],[1,6,60],[2,3,23],[2,4,98],[2,5,3],[2,6,36],[3,4,46],[3,6,58],[4,5,71],[4,6,43],[5,6,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,2,48],[0,3,55],[0,4,11],[0,5,6],[0,6,60],[1,2,11],[1,3,93],[1,5,97],[1,6,60],[2,3,23],[2,4,98],[2,5,3],[2,6,36],[3,4,46],[3,6,58],[4,5,71],[4,6,43],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,2,48],[0,3,55],[0,4,11],[0,5,6],[0,6,60],[1,2,11],[1,3,93],[1,5,97],[1,6,60],[2,3,23],[2,4,98],[2,5,3],[2,6,36],[3,4,46],[3,6,58],[4,5,71],[4,6,43],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,2,48],[0,3,55],[0,4,11],[0,5,6],[0,6,60],[1,2,11],[1,3,93],[1,5,97],[1,6,60],[2,3,23],[2,4,98],[2,5,3],[2,6,36],[3,4,46],[3,6,58],[4,5,71],[4,6,43],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (0,5)=6, w=9\",\"Add (5,6)=10, w=19\",\"Add (0,4)=11, w=30\",\"Add (1,2)=11, w=41\",\"Add (2,3)=23, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,2,48],[0,3,55],[0,4,11],[0,5,6],[0,6,60],[1,2,11],[1,3,93],[1,5,97],[1,6,60],[2,3,23],[2,4,98],[2,5,3],[2,6,36],[3,4,46],[3,6,58],[4,5,71],[4,6,43],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (0,5)=6 Succeeded, w=9\",\"Add (5,6)=10 Succeeded, w=19\",\"Add (0,4)=11 Succeeded, w=30\",\"Add (1,2)=11 Succeeded, w=41\",\"Add (2,3)=23 Succeeded, w=64\",\"Add (2,6)=36 Failed, w=64\",\"Add (4,6)=43 Failed, w=64\",\"Add (3,4)=46 Failed, w=64\",\"Add (0,2)=48 Failed, w=64\",\"Add (0,3)=55 Failed, w=64\",\"Add (3,6)=58 Failed, w=64\",\"Add (0,6)=60 Failed, w=64\",\"Add (1,6)=60 Failed, w=64\",\"Add (4,5)=71 Failed, w=64\",\"Add (0,1)=93 Failed, w=64\",\"Add (1,3)=93 Failed, w=64\",\"Add (1,5)=97 Failed, w=64\",\"Add (2,4)=98 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,2,48],[0,3,55],[0,4,11],[0,5,6],[0,6,60],[1,2,11],[1,3,93],[1,5,97],[1,6,60],[2,3,23],[2,4,98],[2,5,3],[2,6,36],[3,4,46],[3,6,58],[4,5,71],[4,6,43],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,5)=6,(5,6)=10,(0,4)=11,(1,2)=11,(2,3)=23,(2,6)=36,(4,6)=43,(3,4)=46,(0,2)=48,(0,3)=55,(3,6)=58,(0,6)=60,(1,6)=60,(4,5)=71,(0,1)=93,(1,3)=93,(1,5)=97,(2,4)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=2, Add (0,5)=6 Succeeded, w=9\",\"Find(5)=2, Find(6)=6, Add (5,6)=10 Succeeded, w=19\",\"Find(0)=2, Find(4)=4, Add (0,4)=11 Succeeded, w=30\",\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=41\",\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=64\",\"Find(2)=2, Find(6)=2, Add (2,6)=36 Failed, w=64\",\"Find(4)=2, Find(6)=2, Add (4,6)=43 Failed, w=64\",\"Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=64\",\"Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=64\",\"Find(0)=2, Find(3)=2, Add (0,3)=55 Failed, w=64\",\"Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=64\",\"Find(0)=2, Find(6)=2, Add (0,6)=60 Failed, w=64\",\"Find(1)=2, Find(6)=2, Add (1,6)=60 Failed, w=64\",\"Find(4)=2, Find(5)=2, Add (4,5)=71 Failed, w=64\",\"Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=64\",\"Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=64\",\"Find(1)=2, Find(5)=2, Add (1,5)=97 Failed, w=64\",\"Find(2)=2, Find(4)=2, Add (2,4)=98 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,93],[0,2,48],[0,3,55],[0,4,11],[0,5,6],[0,6,60],[1,2,11],[1,3,93],[1,5,97],[1,6,60],[2,3,23],[2,4,98],[2,5,3],[2,6,36],[3,4,46],[3,6,58],[4,5,71],[4,6,43],[5,6,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,5)=6,(5,6)=10,(0,4)=11,(1,2)=11,(2,3)=23,(2,6)=36,(4,6)=43,(3,4)=46,(0,2)=48,(0,3)=55,(3,6)=58,(0,6)=60,(1,6)=60,(4,5)=71,(0,1)=93,(1,3)=93,(1,5)=97,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(5)=2, Add (0,5)=6 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(5)=2, Find(6)=6, Add (5,6)=10 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=4, Add (0,4)=11 Succeeded, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=41\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=36 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=43 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=55 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=58 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=60 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=60 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=71 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=93 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=97 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=98 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,89],[0,2,39],[0,3,45],[0,4,70],[1,2,38],[1,3,20],[2,3,100],[2,4,89],[3,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,39],[0,3,45],[0,4,70],[1,2,38],[1,3,20],[2,3,100],[2,4,89],[3,4,18]]}",
"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\":[[0,1,89],[0,2,39],[0,3,45],[0,4,70],[1,2,38],[1,3,20],[2,3,100],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (1,2)\",\"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\":[[0,1,89],[0,2,39],[0,3,45],[0,4,70],[1,2,38],[1,3,20],[2,3,100],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=18, w=18\",\"Add (1,3)=20, w=38\",\"Add (1,2)=38, w=76\",\"Add (0,2)=39, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,89],[0,2,39],[0,3,45],[0,4,70],[1,2,38],[1,3,20],[2,3,100],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=18 Succeeded, w=18\",\"Add (1,3)=20 Succeeded, w=38\",\"Add (1,2)=38 Succeeded, w=76\",\"Add (0,2)=39 Succeeded, w=115\",\"Add (0,3)=45 Failed, w=115\",\"Add (0,4)=70 Failed, w=115\",\"Add (0,1)=89 Failed, w=115\",\"Add (2,4)=89 Failed, w=115\",\"Add (2,3)=100 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\":[[0,1,89],[0,2,39],[0,3,45],[0,4,70],[1,2,38],[1,3,20],[2,3,100],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=18,(1,3)=20,(1,2)=38,(0,2)=39,(0,3)=45,(0,4)=70,(0,1)=89,(2,4)=89,(2,3)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=18\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=38\",\"Find(1)=3, Find(2)=2, Add (1,2)=38 Succeeded, w=76\",\"Find(0)=0, Find(2)=3, Add (0,2)=39 Succeeded, w=115\",\"Find(0)=3, Find(3)=3, Add (0,3)=45 Failed, w=115\",\"Find(0)=3, Find(4)=3, Add (0,4)=70 Failed, w=115\",\"Find(0)=3, Find(1)=3, Add (0,1)=89 Failed, w=115\",\"Find(2)=3, Find(4)=3, Add (2,4)=89 Failed, w=115\",\"Find(2)=3, Find(3)=3, Add (2,3)=100 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\":[[0,1,89],[0,2,39],[0,3,45],[0,4,70],[1,2,38],[1,3,20],[2,3,100],[2,4,89],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=18,(1,3)=20,(1,2)=38,(0,2)=39,(0,3)=45,(0,4)=70,(0,1)=89,(2,4)=89,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=38\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=2, Add (1,2)=38 Succeeded, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(2)=3, Add (0,2)=39 Succeeded, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=45 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=70 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=89 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=89 Failed, w=115\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,2,17],[0,3,35],[0,4,10],[1,2,92],[1,3,43],[2,4,19],[3,4,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,17],[0,3,35],[0,4,10],[1,2,92],[1,3,43],[2,4,19],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,17],[0,3,35],[0,4,10],[1,2,92],[1,3,43],[2,4,19],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,17],[0,3,35],[0,4,10],[1,2,92],[1,3,43],[2,4,19],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (0,4)=10, w=19\",\"Add (3,4)=14, w=33\",\"Add (0,2)=17, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,17],[0,3,35],[0,4,10],[1,2,92],[1,3,43],[2,4,19],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (0,4)=10 Succeeded, w=19\",\"Add (3,4)=14 Succeeded, w=33\",\"Add (0,2)=17 Succeeded, w=50\",\"Add (2,4)=19 Failed, w=50\",\"Add (0,3)=35 Failed, w=50\",\"Add (1,3)=43 Failed, w=50\",\"Add (1,2)=92 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,17],[0,3,35],[0,4,10],[1,2,92],[1,3,43],[2,4,19],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,4)=10,(3,4)=14,(0,2)=17,(2,4)=19,(0,3)=35,(1,3)=43,(1,2)=92]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=19\",\"Find(3)=3, Find(4)=0, Add (3,4)=14 Succeeded, w=33\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=50\",\"Find(2)=0, Find(4)=0, Add (2,4)=19 Failed, w=50\",\"Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=50\",\"Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=50\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,17],[0,3,35],[0,4,10],[1,2,92],[1,3,43],[2,4,19],[3,4,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(0,4)=10,(3,4)=14,(0,2)=17,(2,4)=19,(0,3)=35,(1,3)=43,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=14 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=19 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,92],[0,2,25],[0,3,99],[0,4,48],[1,2,82],[1,4,82],[2,3,20],[2,4,26],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,25],[0,3,99],[0,4,48],[1,2,82],[1,4,82],[2,3,20],[2,4,26],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,25],[0,3,99],[0,4,48],[1,2,82],[1,4,82],[2,3,20],[2,4,26],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,25],[0,3,99],[0,4,48],[1,2,82],[1,4,82],[2,3,20],[2,4,26],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=19, w=19\",\"Add (2,3)=20, w=39\",\"Add (0,2)=25, w=64\",\"Add (1,2)=82, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,25],[0,3,99],[0,4,48],[1,2,82],[1,4,82],[2,3,20],[2,4,26],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=19 Succeeded, w=19\",\"Add (2,3)=20 Succeeded, w=39\",\"Add (0,2)=25 Succeeded, w=64\",\"Add (2,4)=26 Failed, w=64\",\"Add (0,4)=48 Failed, w=64\",\"Add (1,2)=82 Succeeded, w=146\",\"Add (1,4)=82 Failed, w=146\",\"Add (0,1)=92 Failed, w=146\",\"Add (0,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,25],[0,3,99],[0,4,48],[1,2,82],[1,4,82],[2,3,20],[2,4,26],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=19,(2,3)=20,(0,2)=25,(2,4)=26,(0,4)=48,(1,2)=82,(1,4)=82,(0,1)=92,(0,3)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=19\",\"Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=39\",\"Find(0)=0, Find(2)=3, Add (0,2)=25 Succeeded, w=64\",\"Find(2)=3, Find(4)=3, Add (2,4)=26 Failed, w=64\",\"Find(0)=3, Find(4)=3, Add (0,4)=48 Failed, w=64\",\"Find(1)=1, Find(2)=3, Add (1,2)=82 Succeeded, w=146\",\"Find(1)=3, Find(4)=3, Add (1,4)=82 Failed, w=146\",\"Find(0)=3, Find(1)=3, Add (0,1)=92 Failed, w=146\",\"Find(0)=3, Find(3)=3, Add (0,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,25],[0,3,99],[0,4,48],[1,2,82],[1,4,82],[2,3,20],[2,4,26],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=19,(2,3)=20,(0,2)=25,(2,4)=26,(0,4)=48,(1,2)=82,(1,4)=82,(0,1)=92,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=20 Succeeded, w=39\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(2)=3, Add (0,2)=25 Succeeded, w=64\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=26 Failed, w=64\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=48 Failed, w=64\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(2)=3, Add (1,2)=82 Succeeded, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=82 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=92 Failed, w=146\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=99 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,87],[0,3,100],[0,5,79],[1,3,49],[2,5,8],[3,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,3,100],[0,5,79],[1,3,49],[2,5,8],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,3,100],[0,5,79],[1,3,49],[2,5,8],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (0,1)\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,3,100],[0,5,79],[1,3,49],[2,5,8],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8, w=8\",\"Add (1,3)=49, w=57\",\"Add (3,4)=58, w=115\",\"Add (0,5)=79, w=194\",\"Add (0,1)=87, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,3,100],[0,5,79],[1,3,49],[2,5,8],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8 Succeeded, w=8\",\"Add (1,3)=49 Succeeded, w=57\",\"Add (3,4)=58 Succeeded, w=115\",\"Add (0,5)=79 Succeeded, w=194\",\"Add (0,1)=87 Succeeded, w=281\",\"Add (0,3)=100 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,3,100],[0,5,79],[1,3,49],[2,5,8],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(1,3)=49,(3,4)=58,(0,5)=79,(0,1)=87,(0,3)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=57\",\"Find(3)=1, Find(4)=4, Add (3,4)=58 Succeeded, w=115\",\"Find(0)=0, Find(5)=2, Add (0,5)=79 Succeeded, w=194\",\"Find(0)=2, Find(1)=1, Add (0,1)=87 Succeeded, w=281\",\"Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,3,100],[0,5,79],[1,3,49],[2,5,8],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(1,3)=49,(3,4)=58,(0,5)=79,(0,1)=87,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=49 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(3)=1, Find(4)=4, Add (3,4)=58 Succeeded, w=115\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=79 Succeeded, w=194\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=2, Find(1)=1, Add (0,1)=87 Succeeded, w=281\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=100 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,65],[0,2,1],[0,3,10],[0,4,74],[0,5,86],[0,6,95],[1,3,53],[1,4,44],[2,3,93],[2,5,79],[2,6,8],[3,6,89],[4,5,49],[4,6,20],[5,6,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,1],[0,3,10],[0,4,74],[0,5,86],[0,6,95],[1,3,53],[1,4,44],[2,3,93],[2,5,79],[2,6,8],[3,6,89],[4,5,49],[4,6,20],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,1],[0,3,10],[0,4,74],[0,5,86],[0,6,95],[1,3,53],[1,4,44],[2,3,93],[2,5,79],[2,6,8],[3,6,89],[4,5,49],[4,6,20],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (4,6)\",\"Add (1,4)\",\"Add (5,6)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,1],[0,3,10],[0,4,74],[0,5,86],[0,6,95],[1,3,53],[1,4,44],[2,3,93],[2,5,79],[2,6,8],[3,6,89],[4,5,49],[4,6,20],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (2,6)=8, w=9\",\"Add (0,3)=10, w=19\",\"Add (4,6)=20, w=39\",\"Add (1,4)=44, w=83\",\"Add (5,6)=47, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,1],[0,3,10],[0,4,74],[0,5,86],[0,6,95],[1,3,53],[1,4,44],[2,3,93],[2,5,79],[2,6,8],[3,6,89],[4,5,49],[4,6,20],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (2,6)=8 Succeeded, w=9\",\"Add (0,3)=10 Succeeded, w=19\",\"Add (4,6)=20 Succeeded, w=39\",\"Add (1,4)=44 Succeeded, w=83\",\"Add (5,6)=47 Succeeded, w=130\",\"Add (4,5)=49 Failed, w=130\",\"Add (1,3)=53 Failed, w=130\",\"Add (0,1)=65 Failed, w=130\",\"Add (0,4)=74 Failed, w=130\",\"Add (2,5)=79 Failed, w=130\",\"Add (0,5)=86 Failed, w=130\",\"Add (3,6)=89 Failed, w=130\",\"Add (2,3)=93 Failed, w=130\",\"Add (0,6)=95 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,1],[0,3,10],[0,4,74],[0,5,86],[0,6,95],[1,3,53],[1,4,44],[2,3,93],[2,5,79],[2,6,8],[3,6,89],[4,5,49],[4,6,20],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(2,6)=8,(0,3)=10,(4,6)=20,(1,4)=44,(5,6)=47,(4,5)=49,(1,3)=53,(0,1)=65,(0,4)=74,(2,5)=79,(0,5)=86,(3,6)=89,(2,3)=93,(0,6)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(2)=0, Find(6)=6, Add (2,6)=8 Succeeded, w=9\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=19\",\"Find(4)=4, Find(6)=0, Add (4,6)=20 Succeeded, w=39\",\"Find(1)=1, Find(4)=0, Add (1,4)=44 Succeeded, w=83\",\"Find(5)=5, Find(6)=0, Add (5,6)=47 Succeeded, w=130\",\"Find(4)=0, Find(5)=0, Add (4,5)=49 Failed, w=130\",\"Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=130\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=130\",\"Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=130\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=130\",\"Find(0)=0, Find(5)=0, Add (0,5)=86 Failed, w=130\",\"Find(3)=0, Find(6)=0, Add (3,6)=89 Failed, w=130\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=130\",\"Find(0)=0, Find(6)=0, Add (0,6)=95 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,1],[0,3,10],[0,4,74],[0,5,86],[0,6,95],[1,3,53],[1,4,44],[2,3,93],[2,5,79],[2,6,8],[3,6,89],[4,5,49],[4,6,20],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(2,6)=8,(0,3)=10,(4,6)=20,(1,4)=44,(5,6)=47,(4,5)=49,(1,3)=53,(0,1)=65,(0,4)=74,(2,5)=79,(0,5)=86,(3,6)=89,(2,3)=93,(0,6)=95]\",\"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: 4, 5: 5, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=20 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=1, Find(4)=0, Add (1,4)=44 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=47 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=49 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=53 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=86 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=89 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=95 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,81],[0,3,28],[1,2,39],[1,3,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,28],[1,2,39],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,28],[1,2,39],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"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],\"edges\":[[0,2,81],[0,3,28],[1,2,39],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18, w=18\",\"Add (0,3)=28, w=46\",\"Add (1,2)=39, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,28],[1,2,39],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=18 Succeeded, w=18\",\"Add (0,3)=28 Succeeded, w=46\",\"Add (1,2)=39 Succeeded, w=85\",\"Add (0,2)=81 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,28],[1,2,39],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(0,3)=28,(1,2)=39,(0,2)=81]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=46\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=85\",\"Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,81],[0,3,28],[1,2,39],[1,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=18,(0,3)=28,(1,2)=39,(0,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,59],[0,2,19],[0,3,50],[1,2,29],[1,3,88],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,19],[0,3,50],[1,2,29],[1,3,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,19],[0,3,50],[1,2,29],[1,3,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,19],[0,3,50],[1,2,29],[1,3,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (1,2)=29, w=48\",\"Add (0,3)=50, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,19],[0,3,50],[1,2,29],[1,3,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (1,2)=29 Succeeded, w=48\",\"Add (0,3)=50 Succeeded, w=98\",\"Add (0,1)=59 Failed, w=98\",\"Add (2,3)=69 Failed, w=98\",\"Add (1,3)=88 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,19],[0,3,50],[1,2,29],[1,3,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,2)=29,(0,3)=50,(0,1)=59,(2,3)=69,(1,3)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(1)=1, Find(2)=0, Add (1,2)=29 Succeeded, w=48\",\"Find(0)=0, Find(3)=3, Add (0,3)=50 Succeeded, w=98\",\"Find(0)=0, Find(1)=0, Add (0,1)=59 Failed, w=98\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=98\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,19],[0,3,50],[1,2,29],[1,3,88],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,2)=29,(0,3)=50,(0,1)=59,(2,3)=69,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=29 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=50 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=59 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=98\"],\"Answer\":98}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,10],[0,2,45],[0,3,95],[0,4,22],[0,5,52],[0,6,20],[0,7,54],[1,2,90],[1,3,98],[1,4,22],[1,5,48],[1,6,70],[1,7,55],[2,3,32],[2,4,100],[2,6,69],[3,4,61],[3,5,6],[3,6,43],[3,7,93],[4,5,21],[4,6,7],[5,6,56],[5,7,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,45],[0,3,95],[0,4,22],[0,5,52],[0,6,20],[0,7,54],[1,2,90],[1,3,98],[1,4,22],[1,5,48],[1,6,70],[1,7,55],[2,3,32],[2,4,100],[2,6,69],[3,4,61],[3,5,6],[3,6,43],[3,7,93],[4,5,21],[4,6,7],[5,6,56],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,45],[0,3,95],[0,4,22],[0,5,52],[0,6,20],[0,7,54],[1,2,90],[1,3,98],[1,4,22],[1,5,48],[1,6,70],[1,7,55],[2,3,32],[2,4,100],[2,6,69],[3,4,61],[3,5,6],[3,6,43],[3,7,93],[4,5,21],[4,6,7],[5,6,56],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,7)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,45],[0,3,95],[0,4,22],[0,5,52],[0,6,20],[0,7,54],[1,2,90],[1,3,98],[1,4,22],[1,5,48],[1,6,70],[1,7,55],[2,3,32],[2,4,100],[2,6,69],[3,4,61],[3,5,6],[3,6,43],[3,7,93],[4,5,21],[4,6,7],[5,6,56],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6, w=6\",\"Add (4,6)=7, w=13\",\"Add (0,1)=10, w=23\",\"Add (0,6)=20, w=43\",\"Add (4,5)=21, w=64\",\"Add (2,3)=32, w=96\",\"Add (0,7)=54, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,45],[0,3,95],[0,4,22],[0,5,52],[0,6,20],[0,7,54],[1,2,90],[1,3,98],[1,4,22],[1,5,48],[1,6,70],[1,7,55],[2,3,32],[2,4,100],[2,6,69],[3,4,61],[3,5,6],[3,6,43],[3,7,93],[4,5,21],[4,6,7],[5,6,56],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6 Succeeded, w=6\",\"Add (4,6)=7 Succeeded, w=13\",\"Add (0,1)=10 Succeeded, w=23\",\"Add (0,6)=20 Succeeded, w=43\",\"Add (4,5)=21 Succeeded, w=64\",\"Add (0,4)=22 Failed, w=64\",\"Add (1,4)=22 Failed, w=64\",\"Add (2,3)=32 Succeeded, w=96\",\"Add (3,6)=43 Failed, w=96\",\"Add (0,2)=45 Failed, w=96\",\"Add (1,5)=48 Failed, w=96\",\"Add (0,5)=52 Failed, w=96\",\"Add (0,7)=54 Succeeded, w=150\",\"Add (1,7)=55 Failed, w=150\",\"Add (5,6)=56 Failed, w=150\",\"Add (3,4)=61 Failed, w=150\",\"Add (2,6)=69 Failed, w=150\",\"Add (1,6)=70 Failed, w=150\",\"Add (5,7)=80 Failed, w=150\",\"Add (1,2)=90 Failed, w=150\",\"Add (3,7)=93 Failed, w=150\",\"Add (0,3)=95 Failed, w=150\",\"Add (1,3)=98 Failed, w=150\",\"Add (2,4)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,45],[0,3,95],[0,4,22],[0,5,52],[0,6,20],[0,7,54],[1,2,90],[1,3,98],[1,4,22],[1,5,48],[1,6,70],[1,7,55],[2,3,32],[2,4,100],[2,6,69],[3,4,61],[3,5,6],[3,6,43],[3,7,93],[4,5,21],[4,6,7],[5,6,56],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(4,6)=7,(0,1)=10,(0,6)=20,(4,5)=21,(0,4)=22,(1,4)=22,(2,3)=32,(3,6)=43,(0,2)=45,(1,5)=48,(0,5)=52,(0,7)=54,(1,7)=55,(5,6)=56,(3,4)=61,(2,6)=69,(1,6)=70,(5,7)=80,(1,2)=90,(3,7)=93,(0,3)=95,(1,3)=98,(2,4)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=13\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=23\",\"Find(0)=0, Find(6)=4, Add (0,6)=20 Succeeded, w=43\",\"Find(4)=0, Find(5)=3, Add (4,5)=21 Succeeded, w=64\",\"Find(0)=0, Find(4)=0, Add (0,4)=22 Failed, w=64\",\"Find(1)=0, Find(4)=0, Add (1,4)=22 Failed, w=64\",\"Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=96\",\"Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=96\",\"Find(0)=0, Find(2)=0, Add (0,2)=45 Failed, w=96\",\"Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=96\",\"Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=96\",\"Find(0)=0, Find(7)=7, Add (0,7)=54 Succeeded, w=150\",\"Find(1)=0, Find(7)=0, Add (1,7)=55 Failed, w=150\",\"Find(5)=0, Find(6)=0, Add (5,6)=56 Failed, w=150\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=150\",\"Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=150\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=150\",\"Find(5)=0, Find(7)=0, Add (5,7)=80 Failed, w=150\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=150\",\"Find(3)=0, Find(7)=0, Add (3,7)=93 Failed, w=150\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=150\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=150\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,2,45],[0,3,95],[0,4,22],[0,5,52],[0,6,20],[0,7,54],[1,2,90],[1,3,98],[1,4,22],[1,5,48],[1,6,70],[1,7,55],[2,3,32],[2,4,100],[2,6,69],[3,4,61],[3,5,6],[3,6,43],[3,7,93],[4,5,21],[4,6,7],[5,6,56],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(4,6)=7,(0,1)=10,(0,6)=20,(4,5)=21,(0,4)=22,(1,4)=22,(2,3)=32,(3,6)=43,(0,2)=45,(1,5)=48,(0,5)=52,(0,7)=54,(1,7)=55,(5,6)=56,(3,4)=61,(2,6)=69,(1,6)=70,(5,7)=80,(1,2)=90,(3,7)=93,(0,3)=95,(1,3)=98,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3, 6: 4, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 3, 6: 4, 7: 7}, Find(0)=0, Find(6)=4, Add (0,6)=20 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 4, 7: 7}, Find(4)=0, Find(5)=3, Add (4,5)=21 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 4, 7: 7}, Find(0)=0, Find(4)=0, Add (0,4)=22 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3, 6: 4, 7: 7}, Find(1)=0, Find(4)=0, Add (1,4)=22 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 4, 7: 7}, Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 7}, Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 7}, Find(0)=0, Find(2)=0, Add (0,2)=45 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(5)=0, Add (1,5)=48 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=54 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=55 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=56 Failed, w=150\",\"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)=61 Failed, w=150\",\"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)=69 Failed, w=150\",\"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)=70 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=80 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=93 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=150\",\"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)=98 Failed, w=150\",\"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)=100 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,56],[1,3,82],[2,3,35],[2,4,6],[3,4,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,56],[1,3,82],[2,3,35],[2,4,6],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,56],[1,3,82],[2,3,35],[2,4,6],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,56],[1,3,82],[2,3,35],[2,4,6],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (2,3)=35, w=41\",\"Add (0,3)=56, w=97\",\"Add (1,3)=82, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,56],[1,3,82],[2,3,35],[2,4,6],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (2,3)=35 Succeeded, w=41\",\"Add (3,4)=44 Failed, w=41\",\"Add (0,3)=56 Succeeded, w=97\",\"Add (1,3)=82 Succeeded, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,56],[1,3,82],[2,3,35],[2,4,6],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(2,3)=35,(3,4)=44,(0,3)=56,(1,3)=82]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=41\",\"Find(3)=2, Find(4)=2, Add (3,4)=44 Failed, w=41\",\"Find(0)=0, Find(3)=2, Add (0,3)=56 Succeeded, w=97\",\"Find(1)=1, Find(3)=2, Add (1,3)=82 Succeeded, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,56],[1,3,82],[2,3,35],[2,4,6],[3,4,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(2,3)=35,(3,4)=44,(0,3)=56,(1,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=35 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=44 Failed, w=41\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=56 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=82 Succeeded, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,55],[0,2,29],[0,5,17],[0,7,86],[1,3,71],[1,4,57],[1,7,5],[2,3,54],[2,5,31],[2,6,61],[2,7,56],[3,5,88],[3,6,16],[3,7,35],[4,5,33],[4,6,43],[5,6,82],[5,7,16],[6,7,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,29],[0,5,17],[0,7,86],[1,3,71],[1,4,57],[1,7,5],[2,3,54],[2,5,31],[2,6,61],[2,7,56],[3,5,88],[3,6,16],[3,7,35],[4,5,33],[4,6,43],[5,6,82],[5,7,16],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,29],[0,5,17],[0,7,86],[1,3,71],[1,4,57],[1,7,5],[2,3,54],[2,5,31],[2,6,61],[2,7,56],[3,5,88],[3,6,16],[3,7,35],[4,5,33],[4,6,43],[5,6,82],[5,7,16],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (3,6)\",\"Add (5,7)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (3,7)\"],\"Answer\":151}",
"role": "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],[0,2,29],[0,5,17],[0,7,86],[1,3,71],[1,4,57],[1,7,5],[2,3,54],[2,5,31],[2,6,61],[2,7,56],[3,5,88],[3,6,16],[3,7,35],[4,5,33],[4,6,43],[5,6,82],[5,7,16],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=5, w=5\",\"Add (3,6)=16, w=21\",\"Add (5,7)=16, w=37\",\"Add (0,5)=17, w=54\",\"Add (0,2)=29, w=83\",\"Add (4,5)=33, w=116\",\"Add (3,7)=35, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,29],[0,5,17],[0,7,86],[1,3,71],[1,4,57],[1,7,5],[2,3,54],[2,5,31],[2,6,61],[2,7,56],[3,5,88],[3,6,16],[3,7,35],[4,5,33],[4,6,43],[5,6,82],[5,7,16],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=5 Succeeded, w=5\",\"Add (3,6)=16 Succeeded, w=21\",\"Add (5,7)=16 Succeeded, w=37\",\"Add (0,5)=17 Succeeded, w=54\",\"Add (0,2)=29 Succeeded, w=83\",\"Add (2,5)=31 Failed, w=83\",\"Add (4,5)=33 Succeeded, w=116\",\"Add (3,7)=35 Succeeded, w=151\",\"Add (4,6)=43 Failed, w=151\",\"Add (2,3)=54 Failed, w=151\",\"Add (0,1)=55 Failed, w=151\",\"Add (2,7)=56 Failed, w=151\",\"Add (1,4)=57 Failed, w=151\",\"Add (6,7)=59 Failed, w=151\",\"Add (2,6)=61 Failed, w=151\",\"Add (1,3)=71 Failed, w=151\",\"Add (5,6)=82 Failed, w=151\",\"Add (0,7)=86 Failed, w=151\",\"Add (3,5)=88 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,29],[0,5,17],[0,7,86],[1,3,71],[1,4,57],[1,7,5],[2,3,54],[2,5,31],[2,6,61],[2,7,56],[3,5,88],[3,6,16],[3,7,35],[4,5,33],[4,6,43],[5,6,82],[5,7,16],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=5,(3,6)=16,(5,7)=16,(0,5)=17,(0,2)=29,(2,5)=31,(4,5)=33,(3,7)=35,(4,6)=43,(2,3)=54,(0,1)=55,(2,7)=56,(1,4)=57,(6,7)=59,(2,6)=61,(1,3)=71,(5,6)=82,(0,7)=86,(3,5)=88]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=5 Succeeded, w=5\",\"Find(3)=3, Find(6)=6, Add (3,6)=16 Succeeded, w=21\",\"Find(5)=5, Find(7)=1, Add (5,7)=16 Succeeded, w=37\",\"Find(0)=0, Find(5)=1, Add (0,5)=17 Succeeded, w=54\",\"Find(0)=1, Find(2)=2, Add (0,2)=29 Succeeded, w=83\",\"Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=83\",\"Find(4)=4, Find(5)=1, Add (4,5)=33 Succeeded, w=116\",\"Find(3)=3, Find(7)=1, Add (3,7)=35 Succeeded, w=151\",\"Find(4)=3, Find(6)=3, Add (4,6)=43 Failed, w=151\",\"Find(2)=3, Find(3)=3, Add (2,3)=54 Failed, w=151\",\"Find(0)=3, Find(1)=3, Add (0,1)=55 Failed, w=151\",\"Find(2)=3, Find(7)=3, Add (2,7)=56 Failed, w=151\",\"Find(1)=3, Find(4)=3, Add (1,4)=57 Failed, w=151\",\"Find(6)=3, Find(7)=3, Add (6,7)=59 Failed, w=151\",\"Find(2)=3, Find(6)=3, Add (2,6)=61 Failed, w=151\",\"Find(1)=3, Find(3)=3, Add (1,3)=71 Failed, w=151\",\"Find(5)=3, Find(6)=3, Add (5,6)=82 Failed, w=151\",\"Find(0)=3, Find(7)=3, Add (0,7)=86 Failed, w=151\",\"Find(3)=3, Find(5)=3, Add (3,5)=88 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,29],[0,5,17],[0,7,86],[1,3,71],[1,4,57],[1,7,5],[2,3,54],[2,5,31],[2,6,61],[2,7,56],[3,5,88],[3,6,16],[3,7,35],[4,5,33],[4,6,43],[5,6,82],[5,7,16],[6,7,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=5,(3,6)=16,(5,7)=16,(0,5)=17,(0,2)=29,(2,5)=31,(4,5)=33,(3,7)=35,(4,6)=43,(2,3)=54,(0,1)=55,(2,7)=56,(1,4)=57,(6,7)=59,(2,6)=61,(1,3)=71,(5,6)=82,(0,7)=86,(3,5)=88]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 1}, Find(3)=3, Find(6)=6, Add (3,6)=16 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=16 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 3, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=17 Succeeded, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3, 7: 1}, Find(0)=1, Find(2)=2, Add (0,2)=29 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 3, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=31 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3, 7: 1}, Find(4)=4, Find(5)=1, Add (4,5)=33 Succeeded, w=116\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 1, 5: 1, 6: 3, 7: 1}, Find(3)=3, Find(7)=1, Add (3,7)=35 Succeeded, w=151\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1, 6: 3, 7: 1}, Find(4)=3, Find(6)=3, Add (4,6)=43 Failed, w=151\",\"Parent: {0: 1, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3, 7: 1}, Find(2)=3, Find(3)=3, Add (2,3)=54 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3, 7: 1}, Find(0)=3, Find(1)=3, Add (0,1)=55 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=56 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=57 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=59 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=61 Failed, w=151\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 1, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=71 Failed, w=151\",\"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)=82 Failed, w=151\",\"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)=86 Failed, w=151\",\"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)=88 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,15],[0,3,17],[0,4,86],[0,5,43],[0,6,57],[0,7,79],[1,2,38],[1,3,46],[1,4,38],[1,5,58],[1,7,100],[2,3,60],[2,4,24],[2,5,51],[2,6,23],[3,4,91],[3,5,11],[3,6,54],[3,7,26],[6,7,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,17],[0,4,86],[0,5,43],[0,6,57],[0,7,79],[1,2,38],[1,3,46],[1,4,38],[1,5,58],[1,7,100],[2,3,60],[2,4,24],[2,5,51],[2,6,23],[3,4,91],[3,5,11],[3,6,54],[3,7,26],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,17],[0,4,86],[0,5,43],[0,6,57],[0,7,79],[1,2,38],[1,3,46],[1,4,38],[1,5,58],[1,7,100],[2,3,60],[2,4,24],[2,5,51],[2,6,23],[3,4,91],[3,5,11],[3,6,54],[3,7,26],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (6,7)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,17],[0,4,86],[0,5,43],[0,6,57],[0,7,79],[1,2,38],[1,3,46],[1,4,38],[1,5,58],[1,7,100],[2,3,60],[2,4,24],[2,5,51],[2,6,23],[3,4,91],[3,5,11],[3,6,54],[3,7,26],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11, w=11\",\"Add (0,2)=15, w=26\",\"Add (6,7)=16, w=42\",\"Add (0,3)=17, w=59\",\"Add (2,6)=23, w=82\",\"Add (2,4)=24, w=106\",\"Add (1,2)=38, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,17],[0,4,86],[0,5,43],[0,6,57],[0,7,79],[1,2,38],[1,3,46],[1,4,38],[1,5,58],[1,7,100],[2,3,60],[2,4,24],[2,5,51],[2,6,23],[3,4,91],[3,5,11],[3,6,54],[3,7,26],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=11 Succeeded, w=11\",\"Add (0,2)=15 Succeeded, w=26\",\"Add (6,7)=16 Succeeded, w=42\",\"Add (0,3)=17 Succeeded, w=59\",\"Add (2,6)=23 Succeeded, w=82\",\"Add (2,4)=24 Succeeded, w=106\",\"Add (3,7)=26 Failed, w=106\",\"Add (1,2)=38 Succeeded, w=144\",\"Add (1,4)=38 Failed, w=144\",\"Add (0,5)=43 Failed, w=144\",\"Add (1,3)=46 Failed, w=144\",\"Add (2,5)=51 Failed, w=144\",\"Add (3,6)=54 Failed, w=144\",\"Add (0,6)=57 Failed, w=144\",\"Add (1,5)=58 Failed, w=144\",\"Add (2,3)=60 Failed, w=144\",\"Add (0,7)=79 Failed, w=144\",\"Add (0,4)=86 Failed, w=144\",\"Add (3,4)=91 Failed, w=144\",\"Add (1,7)=100 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,17],[0,4,86],[0,5,43],[0,6,57],[0,7,79],[1,2,38],[1,3,46],[1,4,38],[1,5,58],[1,7,100],[2,3,60],[2,4,24],[2,5,51],[2,6,23],[3,4,91],[3,5,11],[3,6,54],[3,7,26],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(0,2)=15,(6,7)=16,(0,3)=17,(2,6)=23,(2,4)=24,(3,7)=26,(1,2)=38,(1,4)=38,(0,5)=43,(1,3)=46,(2,5)=51,(3,6)=54,(0,6)=57,(1,5)=58,(2,3)=60,(0,7)=79,(0,4)=86,(3,4)=91,(1,7)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=26\",\"Find(6)=6, Find(7)=7, Add (6,7)=16 Succeeded, w=42\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=59\",\"Find(2)=0, Find(6)=6, Add (2,6)=23 Succeeded, w=82\",\"Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=106\",\"Find(3)=0, Find(7)=0, Add (3,7)=26 Failed, w=106\",\"Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=144\",\"Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=144\",\"Find(0)=0, Find(5)=0, Add (0,5)=43 Failed, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=46 Failed, w=144\",\"Find(2)=0, Find(5)=0, Add (2,5)=51 Failed, w=144\",\"Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=144\",\"Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=144\",\"Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=144\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=144\",\"Find(0)=0, Find(7)=0, Add (0,7)=79 Failed, w=144\",\"Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=144\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=144\",\"Find(1)=0, Find(7)=0, Add (1,7)=100 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,15],[0,3,17],[0,4,86],[0,5,43],[0,6,57],[0,7,79],[1,2,38],[1,3,46],[1,4,38],[1,5,58],[1,7,100],[2,3,60],[2,4,24],[2,5,51],[2,6,23],[3,4,91],[3,5,11],[3,6,54],[3,7,26],[6,7,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=11,(0,2)=15,(6,7)=16,(0,3)=17,(2,6)=23,(2,4)=24,(3,7)=26,(1,2)=38,(1,4)=38,(0,5)=43,(1,3)=46,(2,5)=51,(3,6)=54,(0,6)=57,(1,5)=58,(2,3)=60,(0,7)=79,(0,4)=86,(3,4)=91,(1,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=16 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 6, 7: 6}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3, 6: 0, 7: 6}, Find(2)=0, Find(6)=6, Add (2,6)=23 Succeeded, w=82\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 6}, Find(2)=0, Find(4)=4, Add (2,4)=24 Succeeded, w=106\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=26 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=38 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=144\",\"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)=43 Failed, w=144\",\"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)=46 Failed, w=144\",\"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)=51 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=144\",\"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)=58 Failed, w=144\",\"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)=60 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=79 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=86 Failed, w=144\",\"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)=91 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=100 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,3,48],[1,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,48],[1,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,48],[1,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,48],[1,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=48, w=48\",\"Add (1,3)=51, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,48],[1,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=48 Succeeded, w=48\",\"Add (1,3)=51 Succeeded, w=99\",\"Add (0,1)=62 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,48],[1,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=48,(1,3)=51,(0,1)=62]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=48\",\"Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=99\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,48],[1,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=48,(1,3)=51,(0,1)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,82],[0,3,58],[0,5,75],[1,3,4],[1,4,72],[1,5,91],[2,3,27],[2,4,3],[3,5,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,58],[0,5,75],[1,3,4],[1,4,72],[1,5,91],[2,3,27],[2,4,3],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,58],[0,5,75],[1,3,4],[1,4,72],[1,5,91],[2,3,27],[2,4,3],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,58],[0,5,75],[1,3,4],[1,4,72],[1,5,91],[2,3,27],[2,4,3],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (1,3)=4, w=7\",\"Add (3,5)=23, w=30\",\"Add (2,3)=27, w=57\",\"Add (0,3)=58, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,58],[0,5,75],[1,3,4],[1,4,72],[1,5,91],[2,3,27],[2,4,3],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (1,3)=4 Succeeded, w=7\",\"Add (3,5)=23 Succeeded, w=30\",\"Add (2,3)=27 Succeeded, w=57\",\"Add (0,3)=58 Succeeded, w=115\",\"Add (1,4)=72 Failed, w=115\",\"Add (0,5)=75 Failed, w=115\",\"Add (0,2)=82 Failed, w=115\",\"Add (1,5)=91 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,58],[0,5,75],[1,3,4],[1,4,72],[1,5,91],[2,3,27],[2,4,3],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(1,3)=4,(3,5)=23,(2,3)=27,(0,3)=58,(1,4)=72,(0,5)=75,(0,2)=82,(1,5)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=7\",\"Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=30\",\"Find(2)=2, Find(3)=1, Add (2,3)=27 Succeeded, w=57\",\"Find(0)=0, Find(3)=2, Add (0,3)=58 Succeeded, w=115\",\"Find(1)=2, Find(4)=2, Add (1,4)=72 Failed, w=115\",\"Find(0)=2, Find(5)=2, Add (0,5)=75 Failed, w=115\",\"Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=115\",\"Find(1)=2, Find(5)=2, Add (1,5)=91 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,82],[0,3,58],[0,5,75],[1,3,4],[1,4,72],[1,5,91],[2,3,27],[2,4,3],[3,5,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(1,3)=4,(3,5)=23,(2,3)=27,(0,3)=58,(1,4)=72,(0,5)=75,(0,2)=82,(1,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=27 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(0)=0, Find(3)=2, Add (0,3)=58 Succeeded, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1}, Find(1)=2, Find(4)=2, Add (1,4)=72 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=75 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=82 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=91 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,49],[0,2,20],[0,3,83],[0,4,31],[0,5,16],[1,2,27],[1,3,38],[1,4,99],[1,5,95],[2,4,25],[3,4,52],[3,5,84],[4,5,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,20],[0,3,83],[0,4,31],[0,5,16],[1,2,27],[1,3,38],[1,4,99],[1,5,95],[2,4,25],[3,4,52],[3,5,84],[4,5,32]]}",
"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],\"edges\":[[0,1,49],[0,2,20],[0,3,83],[0,4,31],[0,5,16],[1,2,27],[1,3,38],[1,4,99],[1,5,95],[2,4,25],[3,4,52],[3,5,84],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,20],[0,3,83],[0,4,31],[0,5,16],[1,2,27],[1,3,38],[1,4,99],[1,5,95],[2,4,25],[3,4,52],[3,5,84],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=16, w=16\",\"Add (0,2)=20, w=36\",\"Add (2,4)=25, w=61\",\"Add (1,2)=27, w=88\",\"Add (1,3)=38, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,20],[0,3,83],[0,4,31],[0,5,16],[1,2,27],[1,3,38],[1,4,99],[1,5,95],[2,4,25],[3,4,52],[3,5,84],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=16 Succeeded, w=16\",\"Add (0,2)=20 Succeeded, w=36\",\"Add (2,4)=25 Succeeded, w=61\",\"Add (1,2)=27 Succeeded, w=88\",\"Add (0,4)=31 Failed, w=88\",\"Add (4,5)=32 Failed, w=88\",\"Add (1,3)=38 Succeeded, w=126\",\"Add (0,1)=49 Failed, w=126\",\"Add (3,4)=52 Failed, w=126\",\"Add (0,3)=83 Failed, w=126\",\"Add (3,5)=84 Failed, w=126\",\"Add (1,5)=95 Failed, w=126\",\"Add (1,4)=99 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],\"edges\":[[0,1,49],[0,2,20],[0,3,83],[0,4,31],[0,5,16],[1,2,27],[1,3,38],[1,4,99],[1,5,95],[2,4,25],[3,4,52],[3,5,84],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=16,(0,2)=20,(2,4)=25,(1,2)=27,(0,4)=31,(4,5)=32,(1,3)=38,(0,1)=49,(3,4)=52,(0,3)=83,(3,5)=84,(1,5)=95,(1,4)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=36\",\"Find(2)=0, Find(4)=4, Add (2,4)=25 Succeeded, w=61\",\"Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=88\",\"Find(0)=0, Find(4)=0, Add (0,4)=31 Failed, w=88\",\"Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=88\",\"Find(1)=0, Find(3)=3, Add (1,3)=38 Succeeded, w=126\",\"Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=126\",\"Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=126\",\"Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=126\",\"Find(3)=0, Find(5)=0, Add (3,5)=84 Failed, w=126\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=126\",\"Find(1)=0, Find(4)=0, Add (1,4)=99 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],\"edges\":[[0,1,49],[0,2,20],[0,3,83],[0,4,31],[0,5,16],[1,2,27],[1,3,38],[1,4,99],[1,5,95],[2,4,25],[3,4,52],[3,5,84],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=16,(0,2)=20,(2,4)=25,(1,2)=27,(0,4)=31,(4,5)=32,(1,3)=38,(0,1)=49,(3,4)=52,(0,3)=83,(3,5)=84,(1,5)=95,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(4)=4, Add (2,4)=25 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=27 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=31 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=32 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=3, Add (1,3)=38 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=84 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=126\",\"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=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,77],[0,3,13],[0,4,23],[0,5,56],[0,7,59],[1,3,79],[1,4,91],[2,5,87],[2,6,83],[3,6,85],[4,7,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,3,13],[0,4,23],[0,5,56],[0,7,59],[1,3,79],[1,4,91],[2,5,87],[2,6,83],[3,6,85],[4,7,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":396}",
"role": "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],[0,3,13],[0,4,23],[0,5,56],[0,7,59],[1,3,79],[1,4,91],[2,5,87],[2,6,83],[3,6,85],[4,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (0,7)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (3,6)\"],\"Answer\":396}",
"role": "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],[0,3,13],[0,4,23],[0,5,56],[0,7,59],[1,3,79],[1,4,91],[2,5,87],[2,6,83],[3,6,85],[4,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (0,4)=23, w=36\",\"Add (0,5)=56, w=92\",\"Add (0,7)=59, w=151\",\"Add (0,1)=77, w=228\",\"Add (2,6)=83, w=311\",\"Add (3,6)=85, w=396\"],\"Answer\":396}",
"role": "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],[0,3,13],[0,4,23],[0,5,56],[0,7,59],[1,3,79],[1,4,91],[2,5,87],[2,6,83],[3,6,85],[4,7,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (0,4)=23 Succeeded, w=36\",\"Add (0,5)=56 Succeeded, w=92\",\"Add (0,7)=59 Succeeded, w=151\",\"Add (0,1)=77 Succeeded, w=228\",\"Add (1,3)=79 Failed, w=228\",\"Add (2,6)=83 Succeeded, w=311\",\"Add (3,6)=85 Succeeded, w=396\",\"Add (4,7)=85 Failed, w=396\",\"Add (2,5)=87 Failed, w=396\",\"Add (1,4)=91 Failed, w=396\"],\"Answer\":396}",
"role": "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],[0,3,13],[0,4,23],[0,5,56],[0,7,59],[1,3,79],[1,4,91],[2,5,87],[2,6,83],[3,6,85],[4,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,4)=23,(0,5)=56,(0,7)=59,(0,1)=77,(1,3)=79,(2,6)=83,(3,6)=85,(4,7)=85,(2,5)=87,(1,4)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=36\",\"Find(0)=0, Find(5)=5, Add (0,5)=56 Succeeded, w=92\",\"Find(0)=0, Find(7)=7, Add (0,7)=59 Succeeded, w=151\",\"Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=228\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=228\",\"Find(2)=2, Find(6)=6, Add (2,6)=83 Succeeded, w=311\",\"Find(3)=0, Find(6)=2, Add (3,6)=85 Succeeded, w=396\",\"Find(4)=0, Find(7)=0, Add (4,7)=85 Failed, w=396\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=396\",\"Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=396\"],\"Answer\":396}",
"role": "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],[0,3,13],[0,4,23],[0,5,56],[0,7,59],[1,3,79],[1,4,91],[2,5,87],[2,6,83],[3,6,85],[4,7,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(0,4)=23,(0,5)=56,(0,7)=59,(0,1)=77,(1,3)=79,(2,6)=83,(3,6)=85,(4,7)=85,(2,5)=87,(1,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=56 Succeeded, w=92\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=59 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=77 Succeeded, w=228\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=228\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=2, Find(6)=6, Add (2,6)=83 Succeeded, w=311\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(3)=0, Find(6)=2, Add (3,6)=85 Succeeded, w=396\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=85 Failed, w=396\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=396\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=91 Failed, w=396\"],\"Answer\":396}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,35],[0,2,11],[0,3,57],[0,4,54],[1,2,49],[1,3,4],[1,4,4],[2,3,42],[3,4,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,11],[0,3,57],[0,4,54],[1,2,49],[1,3,4],[1,4,4],[2,3,42],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,11],[0,3,57],[0,4,54],[1,2,49],[1,3,4],[1,4,4],[2,3,42],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,11],[0,3,57],[0,4,54],[1,2,49],[1,3,4],[1,4,4],[2,3,42],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (1,4)=4, w=8\",\"Add (0,2)=11, w=19\",\"Add (0,1)=35, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,11],[0,3,57],[0,4,54],[1,2,49],[1,3,4],[1,4,4],[2,3,42],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (1,4)=4 Succeeded, w=8\",\"Add (0,2)=11 Succeeded, w=19\",\"Add (3,4)=17 Failed, w=19\",\"Add (0,1)=35 Succeeded, w=54\",\"Add (2,3)=42 Failed, w=54\",\"Add (1,2)=49 Failed, w=54\",\"Add (0,4)=54 Failed, w=54\",\"Add (0,3)=57 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,11],[0,3,57],[0,4,54],[1,2,49],[1,3,4],[1,4,4],[2,3,42],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(1,4)=4,(0,2)=11,(3,4)=17,(0,1)=35,(2,3)=42,(1,2)=49,(0,4)=54,(0,3)=57]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=19\",\"Find(3)=1, Find(4)=1, Add (3,4)=17 Failed, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=54\",\"Find(2)=0, Find(3)=0, Add (2,3)=42 Failed, w=54\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=54\",\"Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=54\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,11],[0,3,57],[0,4,54],[1,2,49],[1,3,4],[1,4,4],[2,3,42],[3,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(1,4)=4,(0,2)=11,(3,4)=17,(0,1)=35,(2,3)=42,(1,2)=49,(0,4)=54,(0,3)=57]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=17 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=42 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,19],[0,3,74],[0,4,72],[1,2,96],[1,3,70],[1,4,98],[1,5,23],[2,4,49],[2,5,64],[3,4,62],[3,5,42],[4,5,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,3,74],[0,4,72],[1,2,96],[1,3,70],[1,4,98],[1,5,23],[2,4,49],[2,5,64],[3,4,62],[3,5,42],[4,5,27]]}",
"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],\"edges\":[[0,1,19],[0,3,74],[0,4,72],[1,2,96],[1,3,70],[1,4,98],[1,5,23],[2,4,49],[2,5,64],[3,4,62],[3,5,42],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (2,4)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,3,74],[0,4,72],[1,2,96],[1,3,70],[1,4,98],[1,5,23],[2,4,49],[2,5,64],[3,4,62],[3,5,42],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=19, w=19\",\"Add (1,5)=23, w=42\",\"Add (4,5)=27, w=69\",\"Add (3,5)=42, w=111\",\"Add (2,4)=49, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,19],[0,3,74],[0,4,72],[1,2,96],[1,3,70],[1,4,98],[1,5,23],[2,4,49],[2,5,64],[3,4,62],[3,5,42],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=19 Succeeded, w=19\",\"Add (1,5)=23 Succeeded, w=42\",\"Add (4,5)=27 Succeeded, w=69\",\"Add (3,5)=42 Succeeded, w=111\",\"Add (2,4)=49 Succeeded, w=160\",\"Add (3,4)=62 Failed, w=160\",\"Add (2,5)=64 Failed, w=160\",\"Add (1,3)=70 Failed, w=160\",\"Add (0,4)=72 Failed, w=160\",\"Add (0,3)=74 Failed, w=160\",\"Add (1,2)=96 Failed, w=160\",\"Add (1,4)=98 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],\"edges\":[[0,1,19],[0,3,74],[0,4,72],[1,2,96],[1,3,70],[1,4,98],[1,5,23],[2,4,49],[2,5,64],[3,4,62],[3,5,42],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=19,(1,5)=23,(4,5)=27,(3,5)=42,(2,4)=49,(3,4)=62,(2,5)=64,(1,3)=70,(0,4)=72,(0,3)=74,(1,2)=96,(1,4)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Find(1)=0, Find(5)=5, Add (1,5)=23 Succeeded, w=42\",\"Find(4)=4, Find(5)=0, Add (4,5)=27 Succeeded, w=69\",\"Find(3)=3, Find(5)=0, Add (3,5)=42 Succeeded, w=111\",\"Find(2)=2, Find(4)=0, Add (2,4)=49 Succeeded, w=160\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=160\",\"Find(2)=0, Find(5)=0, Add (2,5)=64 Failed, w=160\",\"Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=160\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=160\",\"Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=160\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=160\",\"Find(1)=0, Find(4)=0, Add (1,4)=98 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],\"edges\":[[0,1,19],[0,3,74],[0,4,72],[1,2,96],[1,3,70],[1,4,98],[1,5,23],[2,4,49],[2,5,64],[3,4,62],[3,5,42],[4,5,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=19,(1,5)=23,(4,5)=27,(3,5)=42,(2,4)=49,(3,4)=62,(2,5)=64,(1,3)=70,(0,4)=72,(0,3)=74,(1,2)=96,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=23 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=27 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=42 Succeeded, w=111\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=49 Succeeded, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=64 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=98 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\"],\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\"],\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\"],\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\"],\"Answer\":10}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\"],\"Answer\":10}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,81],[0,2,66],[0,3,83],[0,4,43],[0,5,92],[0,7,24],[1,2,13],[1,3,90],[1,4,36],[1,6,2],[1,7,97],[2,4,35],[2,5,70],[2,6,66],[2,7,78],[3,5,46],[3,6,2],[3,7,1],[4,5,96],[4,6,80],[4,7,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,66],[0,3,83],[0,4,43],[0,5,92],[0,7,24],[1,2,13],[1,3,90],[1,4,36],[1,6,2],[1,7,97],[2,4,35],[2,5,70],[2,6,66],[2,7,78],[3,5,46],[3,6,2],[3,7,1],[4,5,96],[4,6,80],[4,7,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,66],[0,3,83],[0,4,43],[0,5,92],[0,7,24],[1,2,13],[1,3,90],[1,4,36],[1,6,2],[1,7,97],[2,4,35],[2,5,70],[2,6,66],[2,7,78],[3,5,46],[3,6,2],[3,7,1],[4,5,96],[4,6,80],[4,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (1,6)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (0,7)\",\"Add (2,4)\",\"Add (3,5)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,66],[0,3,83],[0,4,43],[0,5,92],[0,7,24],[1,2,13],[1,3,90],[1,4,36],[1,6,2],[1,7,97],[2,4,35],[2,5,70],[2,6,66],[2,7,78],[3,5,46],[3,6,2],[3,7,1],[4,5,96],[4,6,80],[4,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=1, w=1\",\"Add (1,6)=2, w=3\",\"Add (3,6)=2, w=5\",\"Add (1,2)=13, w=18\",\"Add (0,7)=24, w=42\",\"Add (2,4)=35, w=77\",\"Add (3,5)=46, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,66],[0,3,83],[0,4,43],[0,5,92],[0,7,24],[1,2,13],[1,3,90],[1,4,36],[1,6,2],[1,7,97],[2,4,35],[2,5,70],[2,6,66],[2,7,78],[3,5,46],[3,6,2],[3,7,1],[4,5,96],[4,6,80],[4,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=1 Succeeded, w=1\",\"Add (1,6)=2 Succeeded, w=3\",\"Add (3,6)=2 Succeeded, w=5\",\"Add (1,2)=13 Succeeded, w=18\",\"Add (0,7)=24 Succeeded, w=42\",\"Add (2,4)=35 Succeeded, w=77\",\"Add (1,4)=36 Failed, w=77\",\"Add (0,4)=43 Failed, w=77\",\"Add (4,7)=45 Failed, w=77\",\"Add (3,5)=46 Succeeded, w=123\",\"Add (0,2)=66 Failed, w=123\",\"Add (2,6)=66 Failed, w=123\",\"Add (2,5)=70 Failed, w=123\",\"Add (2,7)=78 Failed, w=123\",\"Add (4,6)=80 Failed, w=123\",\"Add (0,1)=81 Failed, w=123\",\"Add (0,3)=83 Failed, w=123\",\"Add (1,3)=90 Failed, w=123\",\"Add (0,5)=92 Failed, w=123\",\"Add (4,5)=96 Failed, w=123\",\"Add (1,7)=97 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,66],[0,3,83],[0,4,43],[0,5,92],[0,7,24],[1,2,13],[1,3,90],[1,4,36],[1,6,2],[1,7,97],[2,4,35],[2,5,70],[2,6,66],[2,7,78],[3,5,46],[3,6,2],[3,7,1],[4,5,96],[4,6,80],[4,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=1,(1,6)=2,(3,6)=2,(1,2)=13,(0,7)=24,(2,4)=35,(1,4)=36,(0,4)=43,(4,7)=45,(3,5)=46,(0,2)=66,(2,6)=66,(2,5)=70,(2,7)=78,(4,6)=80,(0,1)=81,(0,3)=83,(1,3)=90,(0,5)=92,(4,5)=96,(1,7)=97]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=3\",\"Find(3)=3, Find(6)=1, Add (3,6)=2 Succeeded, w=5\",\"Find(1)=3, Find(2)=2, Add (1,2)=13 Succeeded, w=18\",\"Find(0)=0, Find(7)=3, Add (0,7)=24 Succeeded, w=42\",\"Find(2)=3, Find(4)=4, Add (2,4)=35 Succeeded, w=77\",\"Find(1)=3, Find(4)=3, Add (1,4)=36 Failed, w=77\",\"Find(0)=3, Find(4)=3, Add (0,4)=43 Failed, w=77\",\"Find(4)=3, Find(7)=3, Add (4,7)=45 Failed, w=77\",\"Find(3)=3, Find(5)=5, Add (3,5)=46 Succeeded, w=123\",\"Find(0)=3, Find(2)=3, Add (0,2)=66 Failed, w=123\",\"Find(2)=3, Find(6)=3, Add (2,6)=66 Failed, w=123\",\"Find(2)=3, Find(5)=3, Add (2,5)=70 Failed, w=123\",\"Find(2)=3, Find(7)=3, Add (2,7)=78 Failed, w=123\",\"Find(4)=3, Find(6)=3, Add (4,6)=80 Failed, w=123\",\"Find(0)=3, Find(1)=3, Add (0,1)=81 Failed, w=123\",\"Find(0)=3, Find(3)=3, Add (0,3)=83 Failed, w=123\",\"Find(1)=3, Find(3)=3, Add (1,3)=90 Failed, w=123\",\"Find(0)=3, Find(5)=3, Add (0,5)=92 Failed, w=123\",\"Find(4)=3, Find(5)=3, Add (4,5)=96 Failed, w=123\",\"Find(1)=3, Find(7)=3, Add (1,7)=97 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,81],[0,2,66],[0,3,83],[0,4,43],[0,5,92],[0,7,24],[1,2,13],[1,3,90],[1,4,36],[1,6,2],[1,7,97],[2,4,35],[2,5,70],[2,6,66],[2,7,78],[3,5,46],[3,6,2],[3,7,1],[4,5,96],[4,6,80],[4,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=1,(1,6)=2,(3,6)=2,(1,2)=13,(0,7)=24,(2,4)=35,(1,4)=36,(0,4)=43,(4,7)=45,(3,5)=46,(0,2)=66,(2,6)=66,(2,5)=70,(2,7)=78,(4,6)=80,(0,1)=81,(0,3)=83,(1,3)=90,(0,5)=92,(4,5)=96,(1,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 3}, Find(1)=1, Find(6)=6, Add (1,6)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 3}, Find(3)=3, Find(6)=1, Add (3,6)=2 Succeeded, w=5\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 1, 7: 3}, Find(1)=3, Find(2)=2, Add (1,2)=13 Succeeded, w=18\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 1, 7: 3}, Find(0)=0, Find(7)=3, Add (0,7)=24 Succeeded, w=42\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 1, 7: 3}, Find(2)=3, Find(4)=4, Add (2,4)=35 Succeeded, w=77\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 1, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=36 Failed, w=77\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 1, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=43 Failed, w=77\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 1, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=45 Failed, w=77\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(3)=3, Find(5)=5, Add (3,5)=46 Succeeded, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=66 Failed, w=123\",\"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)=66 Failed, w=123\",\"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)=70 Failed, w=123\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=78 Failed, w=123\",\"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)=80 Failed, w=123\",\"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)=81 Failed, w=123\",\"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)=83 Failed, w=123\",\"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)=90 Failed, w=123\",\"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)=92 Failed, w=123\",\"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)=96 Failed, w=123\",\"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)=97 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,3],[0,3,57],[0,5,86],[0,6,27],[0,7,80],[1,2,36],[1,3,63],[1,5,61],[1,7,98],[2,3,18],[2,4,73],[2,5,19],[2,7,56],[3,5,33],[3,6,35],[3,7,5],[4,5,15],[4,6,93],[4,7,25],[5,6,74],[6,7,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,3],[0,3,57],[0,5,86],[0,6,27],[0,7,80],[1,2,36],[1,3,63],[1,5,61],[1,7,98],[2,3,18],[2,4,73],[2,5,19],[2,7,56],[3,5,33],[3,6,35],[3,7,5],[4,5,15],[4,6,93],[4,7,25],[5,6,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,3],[0,3,57],[0,5,86],[0,6,27],[0,7,80],[1,2,36],[1,3,63],[1,5,61],[1,7,98],[2,3,18],[2,4,73],[2,5,19],[2,7,56],[3,5,33],[3,6,35],[3,7,5],[4,5,15],[4,6,93],[4,7,25],[5,6,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,7)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (2,5)\",\"Add (0,6)\",\"Add (1,2)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,3],[0,3,57],[0,5,86],[0,6,27],[0,7,80],[1,2,36],[1,3,63],[1,5,61],[1,7,98],[2,3,18],[2,4,73],[2,5,19],[2,7,56],[3,5,33],[3,6,35],[3,7,5],[4,5,15],[4,6,93],[4,7,25],[5,6,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (3,7)=5, w=8\",\"Add (4,5)=15, w=23\",\"Add (2,3)=18, w=41\",\"Add (2,5)=19, w=60\",\"Add (0,6)=27, w=87\",\"Add (1,2)=36, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,3],[0,3,57],[0,5,86],[0,6,27],[0,7,80],[1,2,36],[1,3,63],[1,5,61],[1,7,98],[2,3,18],[2,4,73],[2,5,19],[2,7,56],[3,5,33],[3,6,35],[3,7,5],[4,5,15],[4,6,93],[4,7,25],[5,6,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (3,7)=5 Succeeded, w=8\",\"Add (4,5)=15 Succeeded, w=23\",\"Add (2,3)=18 Succeeded, w=41\",\"Add (2,5)=19 Succeeded, w=60\",\"Add (4,7)=25 Failed, w=60\",\"Add (0,6)=27 Succeeded, w=87\",\"Add (3,5)=33 Failed, w=87\",\"Add (3,6)=35 Failed, w=87\",\"Add (1,2)=36 Succeeded, w=123\",\"Add (2,7)=56 Failed, w=123\",\"Add (0,3)=57 Failed, w=123\",\"Add (1,5)=61 Failed, w=123\",\"Add (1,3)=63 Failed, w=123\",\"Add (6,7)=68 Failed, w=123\",\"Add (2,4)=73 Failed, w=123\",\"Add (5,6)=74 Failed, w=123\",\"Add (0,7)=80 Failed, w=123\",\"Add (0,5)=86 Failed, w=123\",\"Add (4,6)=93 Failed, w=123\",\"Add (1,7)=98 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,3],[0,3,57],[0,5,86],[0,6,27],[0,7,80],[1,2,36],[1,3,63],[1,5,61],[1,7,98],[2,3,18],[2,4,73],[2,5,19],[2,7,56],[3,5,33],[3,6,35],[3,7,5],[4,5,15],[4,6,93],[4,7,25],[5,6,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(3,7)=5,(4,5)=15,(2,3)=18,(2,5)=19,(4,7)=25,(0,6)=27,(3,5)=33,(3,6)=35,(1,2)=36,(2,7)=56,(0,3)=57,(1,5)=61,(1,3)=63,(6,7)=68,(2,4)=73,(5,6)=74,(0,7)=80,(0,5)=86,(4,6)=93,(1,7)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=8\",\"Find(4)=4, Find(5)=5, Add (4,5)=15 Succeeded, w=23\",\"Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=41\",\"Find(2)=0, Find(5)=4, Add (2,5)=19 Succeeded, w=60\",\"Find(4)=0, Find(7)=0, Add (4,7)=25 Failed, w=60\",\"Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=87\",\"Find(3)=0, Find(5)=0, Add (3,5)=33 Failed, w=87\",\"Find(3)=0, Find(6)=0, Add (3,6)=35 Failed, w=87\",\"Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=123\",\"Find(2)=0, Find(7)=0, Add (2,7)=56 Failed, w=123\",\"Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=123\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=123\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=123\",\"Find(6)=0, Find(7)=0, Add (6,7)=68 Failed, w=123\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=123\",\"Find(5)=0, Find(6)=0, Add (5,6)=74 Failed, w=123\",\"Find(0)=0, Find(7)=0, Add (0,7)=80 Failed, w=123\",\"Find(0)=0, Find(5)=0, Add (0,5)=86 Failed, w=123\",\"Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=123\",\"Find(1)=0, Find(7)=0, Add (1,7)=98 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,3],[0,3,57],[0,5,86],[0,6,27],[0,7,80],[1,2,36],[1,3,63],[1,5,61],[1,7,98],[2,3,18],[2,4,73],[2,5,19],[2,7,56],[3,5,33],[3,6,35],[3,7,5],[4,5,15],[4,6,93],[4,7,25],[5,6,74],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(3,7)=5,(4,5)=15,(2,3)=18,(2,5)=19,(4,7)=25,(0,6)=27,(3,5)=33,(3,6)=35,(1,2)=36,(2,7)=56,(0,3)=57,(1,5)=61,(1,3)=63,(6,7)=68,(2,4)=73,(5,6)=74,(0,7)=80,(0,5)=86,(4,6)=93,(1,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6, 7: 3}, Find(4)=4, Find(5)=5, Add (4,5)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 4, 6: 6, 7: 3}, Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 3}, Find(2)=0, Find(5)=4, Add (2,5)=19 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=25 Failed, w=60\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=87\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=33 Failed, w=87\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=35 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=36 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=56 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=57 Failed, w=123\",\"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)=61 Failed, w=123\",\"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)=63 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=68 Failed, w=123\",\"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)=73 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=74 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=80 Failed, w=123\",\"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)=86 Failed, w=123\",\"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)=93 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=98 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,59],[0,2,70],[0,3,29],[0,4,58],[0,5,99],[0,6,66],[0,7,92],[1,2,48],[1,3,56],[1,4,19],[1,5,93],[1,6,47],[1,7,13],[2,3,9],[2,4,0],[2,5,24],[2,6,27],[3,4,93],[3,5,31],[3,6,38],[3,7,1],[4,5,21],[4,6,75],[4,7,70],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,70],[0,3,29],[0,4,58],[0,5,99],[0,6,66],[0,7,92],[1,2,48],[1,3,56],[1,4,19],[1,5,93],[1,6,47],[1,7,13],[2,3,9],[2,4,0],[2,5,24],[2,6,27],[3,4,93],[3,5,31],[3,6,38],[3,7,1],[4,5,21],[4,6,75],[4,7,70],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,70],[0,3,29],[0,4,58],[0,5,99],[0,6,66],[0,7,92],[1,2,48],[1,3,56],[1,4,19],[1,5,93],[1,6,47],[1,7,13],[2,3,9],[2,4,0],[2,5,24],[2,6,27],[3,4,93],[3,5,31],[3,6,38],[3,7,1],[4,5,21],[4,6,75],[4,7,70],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,7)\",\"Add (2,3)\",\"Add (1,7)\",\"Add (4,5)\",\"Add (2,6)\",\"Add (0,3)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,70],[0,3,29],[0,4,58],[0,5,99],[0,6,66],[0,7,92],[1,2,48],[1,3,56],[1,4,19],[1,5,93],[1,6,47],[1,7,13],[2,3,9],[2,4,0],[2,5,24],[2,6,27],[3,4,93],[3,5,31],[3,6,38],[3,7,1],[4,5,21],[4,6,75],[4,7,70],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (3,7)=1, w=1\",\"Add (2,3)=9, w=10\",\"Add (1,7)=13, w=23\",\"Add (4,5)=21, w=44\",\"Add (2,6)=27, w=71\",\"Add (0,3)=29, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,70],[0,3,29],[0,4,58],[0,5,99],[0,6,66],[0,7,92],[1,2,48],[1,3,56],[1,4,19],[1,5,93],[1,6,47],[1,7,13],[2,3,9],[2,4,0],[2,5,24],[2,6,27],[3,4,93],[3,5,31],[3,6,38],[3,7,1],[4,5,21],[4,6,75],[4,7,70],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (3,7)=1 Succeeded, w=1\",\"Add (2,3)=9 Succeeded, w=10\",\"Add (1,7)=13 Succeeded, w=23\",\"Add (1,4)=19 Failed, w=23\",\"Add (4,5)=21 Succeeded, w=44\",\"Add (2,5)=24 Failed, w=44\",\"Add (2,6)=27 Succeeded, w=71\",\"Add (0,3)=29 Succeeded, w=100\",\"Add (3,5)=31 Failed, w=100\",\"Add (3,6)=38 Failed, w=100\",\"Add (5,6)=41 Failed, w=100\",\"Add (1,6)=47 Failed, w=100\",\"Add (1,2)=48 Failed, w=100\",\"Add (1,3)=56 Failed, w=100\",\"Add (0,4)=58 Failed, w=100\",\"Add (0,1)=59 Failed, w=100\",\"Add (0,6)=66 Failed, w=100\",\"Add (0,2)=70 Failed, w=100\",\"Add (4,7)=70 Failed, w=100\",\"Add (4,6)=75 Failed, w=100\",\"Add (0,7)=92 Failed, w=100\",\"Add (1,5)=93 Failed, w=100\",\"Add (3,4)=93 Failed, w=100\",\"Add (0,5)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,70],[0,3,29],[0,4,58],[0,5,99],[0,6,66],[0,7,92],[1,2,48],[1,3,56],[1,4,19],[1,5,93],[1,6,47],[1,7,13],[2,3,9],[2,4,0],[2,5,24],[2,6,27],[3,4,93],[3,5,31],[3,6,38],[3,7,1],[4,5,21],[4,6,75],[4,7,70],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(3,7)=1,(2,3)=9,(1,7)=13,(1,4)=19,(4,5)=21,(2,5)=24,(2,6)=27,(0,3)=29,(3,5)=31,(3,6)=38,(5,6)=41,(1,6)=47,(1,2)=48,(1,3)=56,(0,4)=58,(0,1)=59,(0,6)=66,(0,2)=70,(4,7)=70,(4,6)=75,(0,7)=92,(1,5)=93,(3,4)=93,(0,5)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=10\",\"Find(1)=1, Find(7)=2, Add (1,7)=13 Succeeded, w=23\",\"Find(1)=2, Find(4)=2, Add (1,4)=19 Failed, w=23\",\"Find(4)=2, Find(5)=5, Add (4,5)=21 Succeeded, w=44\",\"Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=44\",\"Find(2)=2, Find(6)=6, Add (2,6)=27 Succeeded, w=71\",\"Find(0)=0, Find(3)=2, Add (0,3)=29 Succeeded, w=100\",\"Find(3)=2, Find(5)=2, Add (3,5)=31 Failed, w=100\",\"Find(3)=2, Find(6)=2, Add (3,6)=38 Failed, w=100\",\"Find(5)=2, Find(6)=2, Add (5,6)=41 Failed, w=100\",\"Find(1)=2, Find(6)=2, Add (1,6)=47 Failed, w=100\",\"Find(1)=2, Find(2)=2, Add (1,2)=48 Failed, w=100\",\"Find(1)=2, Find(3)=2, Add (1,3)=56 Failed, w=100\",\"Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=100\",\"Find(0)=2, Find(1)=2, Add (0,1)=59 Failed, w=100\",\"Find(0)=2, Find(6)=2, Add (0,6)=66 Failed, w=100\",\"Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=100\",\"Find(4)=2, Find(7)=2, Add (4,7)=70 Failed, w=100\",\"Find(4)=2, Find(6)=2, Add (4,6)=75 Failed, w=100\",\"Find(0)=2, Find(7)=2, Add (0,7)=92 Failed, w=100\",\"Find(1)=2, Find(5)=2, Add (1,5)=93 Failed, w=100\",\"Find(3)=2, Find(4)=2, Add (3,4)=93 Failed, w=100\",\"Find(0)=2, Find(5)=2, Add (0,5)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,59],[0,2,70],[0,3,29],[0,4,58],[0,5,99],[0,6,66],[0,7,92],[1,2,48],[1,3,56],[1,4,19],[1,5,93],[1,6,47],[1,7,13],[2,3,9],[2,4,0],[2,5,24],[2,6,27],[3,4,93],[3,5,31],[3,6,38],[3,7,1],[4,5,21],[4,6,75],[4,7,70],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(3,7)=1,(2,3)=9,(1,7)=13,(1,4)=19,(4,5)=21,(2,5)=24,(2,6)=27,(0,3)=29,(3,5)=31,(3,6)=38,(5,6)=41,(1,6)=47,(1,2)=48,(1,3)=56,(0,4)=58,(0,1)=59,(0,6)=66,(0,2)=70,(4,7)=70,(4,6)=75,(0,7)=92,(1,5)=93,(3,4)=93,(0,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 2}, Find(1)=1, Find(7)=2, Add (1,7)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=19 Failed, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(4)=2, Find(5)=5, Add (4,5)=21 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=24 Failed, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=6, Add (2,6)=27 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(3)=2, Add (0,3)=29 Succeeded, w=100\",\"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)=31 Failed, w=100\",\"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)=38 Failed, w=100\",\"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)=41 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=47 Failed, w=100\",\"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)=48 Failed, w=100\",\"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)=56 Failed, w=100\",\"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)=58 Failed, w=100\",\"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)=59 Failed, w=100\",\"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)=66 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=70 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=70 Failed, w=100\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=75 Failed, w=100\",\"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)=92 Failed, w=100\",\"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)=93 Failed, w=100\",\"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)=93 Failed, w=100\",\"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)=99 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,6],[0,2,50],[0,3,35],[0,5,78],[0,6,18],[1,2,50],[1,5,91],[1,6,85],[2,3,77],[2,5,28],[3,4,81],[4,5,11],[4,6,7],[5,6,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,50],[0,3,35],[0,5,78],[0,6,18],[1,2,50],[1,5,91],[1,6,85],[2,3,77],[2,5,28],[3,4,81],[4,5,11],[4,6,7],[5,6,15]]}",
"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\":[[0,1,6],[0,2,50],[0,3,35],[0,5,78],[0,6,18],[1,2,50],[1,5,91],[1,6,85],[2,3,77],[2,5,28],[3,4,81],[4,5,11],[4,6,7],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (4,6)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (2,5)\",\"Add (0,3)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,6],[0,2,50],[0,3,35],[0,5,78],[0,6,18],[1,2,50],[1,5,91],[1,6,85],[2,3,77],[2,5,28],[3,4,81],[4,5,11],[4,6,7],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (4,6)=7, w=13\",\"Add (4,5)=11, w=24\",\"Add (0,6)=18, w=42\",\"Add (2,5)=28, w=70\",\"Add (0,3)=35, 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\":[[0,1,6],[0,2,50],[0,3,35],[0,5,78],[0,6,18],[1,2,50],[1,5,91],[1,6,85],[2,3,77],[2,5,28],[3,4,81],[4,5,11],[4,6,7],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (4,6)=7 Succeeded, w=13\",\"Add (4,5)=11 Succeeded, w=24\",\"Add (5,6)=15 Failed, w=24\",\"Add (0,6)=18 Succeeded, w=42\",\"Add (2,5)=28 Succeeded, w=70\",\"Add (0,3)=35 Succeeded, w=105\",\"Add (0,2)=50 Failed, w=105\",\"Add (1,2)=50 Failed, w=105\",\"Add (2,3)=77 Failed, w=105\",\"Add (0,5)=78 Failed, w=105\",\"Add (3,4)=81 Failed, w=105\",\"Add (1,6)=85 Failed, w=105\",\"Add (1,5)=91 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\":[[0,1,6],[0,2,50],[0,3,35],[0,5,78],[0,6,18],[1,2,50],[1,5,91],[1,6,85],[2,3,77],[2,5,28],[3,4,81],[4,5,11],[4,6,7],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(4,6)=7,(4,5)=11,(5,6)=15,(0,6)=18,(2,5)=28,(0,3)=35,(0,2)=50,(1,2)=50,(2,3)=77,(0,5)=78,(3,4)=81,(1,6)=85,(1,5)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=13\",\"Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=24\",\"Find(5)=4, Find(6)=4, Add (5,6)=15 Failed, w=24\",\"Find(0)=0, Find(6)=4, Add (0,6)=18 Succeeded, w=42\",\"Find(2)=2, Find(5)=0, Add (2,5)=28 Succeeded, w=70\",\"Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=105\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=105\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=105\",\"Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=105\",\"Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=105\",\"Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=105\",\"Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=105\",\"Find(1)=0, Find(5)=0, Add (1,5)=91 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\":[[0,1,6],[0,2,50],[0,3,35],[0,5,78],[0,6,18],[1,2,50],[1,5,91],[1,6,85],[2,3,77],[2,5,28],[3,4,81],[4,5,11],[4,6,7],[5,6,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(4,6)=7,(4,5)=11,(5,6)=15,(0,6)=18,(2,5)=28,(0,3)=35,(0,2)=50,(1,2)=50,(2,3)=77,(0,5)=78,(3,4)=81,(1,6)=85,(1,5)=91]\",\"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: 4}, Find(4)=4, Find(6)=6, Add (4,6)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=5, Add (4,5)=11 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=15 Failed, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 4, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=18 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4}, Find(2)=2, Find(5)=0, Add (2,5)=28 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(3)=3, Add (0,3)=35 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(2)=0, Find(3)=0, Add (2,3)=77 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(3)=0, Find(4)=0, Add (3,4)=81 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)=85 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,51],[0,2,2],[0,3,93],[0,4,75],[0,5,12],[0,6,7],[0,7,14],[1,2,11],[1,3,89],[1,5,92],[1,7,84],[2,3,97],[2,4,88],[2,5,92],[2,7,58],[3,4,96],[3,5,2],[3,6,48],[3,7,17],[4,5,9],[4,6,63],[5,6,20],[5,7,37],[6,7,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,2],[0,3,93],[0,4,75],[0,5,12],[0,6,7],[0,7,14],[1,2,11],[1,3,89],[1,5,92],[1,7,84],[2,3,97],[2,4,88],[2,5,92],[2,7,58],[3,4,96],[3,5,2],[3,6,48],[3,7,17],[4,5,9],[4,6,63],[5,6,20],[5,7,37],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,2],[0,3,93],[0,4,75],[0,5,12],[0,6,7],[0,7,14],[1,2,11],[1,3,89],[1,5,92],[1,7,84],[2,3,97],[2,4,88],[2,5,92],[2,7,58],[3,4,96],[3,5,2],[3,6,48],[3,7,17],[4,5,9],[4,6,63],[5,6,20],[5,7,37],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (0,7)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,2],[0,3,93],[0,4,75],[0,5,12],[0,6,7],[0,7,14],[1,2,11],[1,3,89],[1,5,92],[1,7,84],[2,3,97],[2,4,88],[2,5,92],[2,7,58],[3,4,96],[3,5,2],[3,6,48],[3,7,17],[4,5,9],[4,6,63],[5,6,20],[5,7,37],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (3,5)=2, w=4\",\"Add (0,6)=7, w=11\",\"Add (4,5)=9, w=20\",\"Add (1,2)=11, w=31\",\"Add (0,5)=12, w=43\",\"Add (0,7)=14, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,2],[0,3,93],[0,4,75],[0,5,12],[0,6,7],[0,7,14],[1,2,11],[1,3,89],[1,5,92],[1,7,84],[2,3,97],[2,4,88],[2,5,92],[2,7,58],[3,4,96],[3,5,2],[3,6,48],[3,7,17],[4,5,9],[4,6,63],[5,6,20],[5,7,37],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (3,5)=2 Succeeded, w=4\",\"Add (0,6)=7 Succeeded, w=11\",\"Add (4,5)=9 Succeeded, w=20\",\"Add (1,2)=11 Succeeded, w=31\",\"Add (0,5)=12 Succeeded, w=43\",\"Add (0,7)=14 Succeeded, w=57\",\"Add (3,7)=17 Failed, w=57\",\"Add (5,6)=20 Failed, w=57\",\"Add (5,7)=37 Failed, w=57\",\"Add (6,7)=41 Failed, w=57\",\"Add (3,6)=48 Failed, w=57\",\"Add (0,1)=51 Failed, w=57\",\"Add (2,7)=58 Failed, w=57\",\"Add (4,6)=63 Failed, w=57\",\"Add (0,4)=75 Failed, w=57\",\"Add (1,7)=84 Failed, w=57\",\"Add (2,4)=88 Failed, w=57\",\"Add (1,3)=89 Failed, w=57\",\"Add (1,5)=92 Failed, w=57\",\"Add (2,5)=92 Failed, w=57\",\"Add (0,3)=93 Failed, w=57\",\"Add (3,4)=96 Failed, w=57\",\"Add (2,3)=97 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,2],[0,3,93],[0,4,75],[0,5,12],[0,6,7],[0,7,14],[1,2,11],[1,3,89],[1,5,92],[1,7,84],[2,3,97],[2,4,88],[2,5,92],[2,7,58],[3,4,96],[3,5,2],[3,6,48],[3,7,17],[4,5,9],[4,6,63],[5,6,20],[5,7,37],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(3,5)=2,(0,6)=7,(4,5)=9,(1,2)=11,(0,5)=12,(0,7)=14,(3,7)=17,(5,6)=20,(5,7)=37,(6,7)=41,(3,6)=48,(0,1)=51,(2,7)=58,(4,6)=63,(0,4)=75,(1,7)=84,(2,4)=88,(1,3)=89,(1,5)=92,(2,5)=92,(0,3)=93,(3,4)=96,(2,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=4\",\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=11\",\"Find(4)=4, Find(5)=3, Add (4,5)=9 Succeeded, w=20\",\"Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=31\",\"Find(0)=0, Find(5)=3, Add (0,5)=12 Succeeded, w=43\",\"Find(0)=0, Find(7)=7, Add (0,7)=14 Succeeded, w=57\",\"Find(3)=0, Find(7)=0, Add (3,7)=17 Failed, w=57\",\"Find(5)=0, Find(6)=0, Add (5,6)=20 Failed, w=57\",\"Find(5)=0, Find(7)=0, Add (5,7)=37 Failed, w=57\",\"Find(6)=0, Find(7)=0, Add (6,7)=41 Failed, w=57\",\"Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=57\",\"Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=57\",\"Find(2)=0, Find(7)=0, Add (2,7)=58 Failed, w=57\",\"Find(4)=0, Find(6)=0, Add (4,6)=63 Failed, w=57\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=57\",\"Find(1)=0, Find(7)=0, Add (1,7)=84 Failed, w=57\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=57\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=57\",\"Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=57\",\"Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=57\",\"Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=57\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=57\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,51],[0,2,2],[0,3,93],[0,4,75],[0,5,12],[0,6,7],[0,7,14],[1,2,11],[1,3,89],[1,5,92],[1,7,84],[2,3,97],[2,4,88],[2,5,92],[2,7,58],[3,4,96],[3,5,2],[3,6,48],[3,7,17],[4,5,9],[4,6,63],[5,6,20],[5,7,37],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(3,5)=2,(0,6)=7,(4,5)=9,(1,2)=11,(0,5)=12,(0,7)=14,(3,7)=17,(5,6)=20,(5,7)=37,(6,7)=41,(3,6)=48,(0,1)=51,(2,7)=58,(4,6)=63,(0,4)=75,(1,7)=84,(2,4)=88,(1,3)=89,(1,5)=92,(2,5)=92,(0,3)=93,(3,4)=96,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3, 6: 0, 7: 7}, Find(4)=4, Find(5)=3, Add (4,5)=9 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 3, 6: 0, 7: 7}, Find(1)=1, Find(2)=0, Add (1,2)=11 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0, 7: 7}, Find(0)=0, Find(5)=3, Add (0,5)=12 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=14 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=17 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=20 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=37 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=41 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=48 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=58 Failed, w=57\",\"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)=63 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=84 Failed, w=57\",\"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)=88 Failed, w=57\",\"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)=89 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=92 Failed, w=57\",\"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)=92 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=57\",\"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)=96 Failed, w=57\",\"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)=97 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,58],[0,2,58],[0,3,4],[0,4,85],[1,2,30],[1,3,91],[1,4,14],[2,3,31],[2,4,54],[3,4,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,58],[0,3,4],[0,4,85],[1,2,30],[1,3,91],[1,4,14],[2,3,31],[2,4,54],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,58],[0,3,4],[0,4,85],[1,2,30],[1,3,91],[1,4,14],[2,3,31],[2,4,54],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,58],[0,3,4],[0,4,85],[1,2,30],[1,3,91],[1,4,14],[2,3,31],[2,4,54],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (1,4)=14, w=18\",\"Add (1,2)=30, w=48\",\"Add (2,3)=31, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,58],[0,3,4],[0,4,85],[1,2,30],[1,3,91],[1,4,14],[2,3,31],[2,4,54],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (1,4)=14 Succeeded, w=18\",\"Add (1,2)=30 Succeeded, w=48\",\"Add (2,3)=31 Succeeded, w=79\",\"Add (3,4)=32 Failed, w=79\",\"Add (2,4)=54 Failed, w=79\",\"Add (0,1)=58 Failed, w=79\",\"Add (0,2)=58 Failed, w=79\",\"Add (0,4)=85 Failed, w=79\",\"Add (1,3)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,58],[0,3,4],[0,4,85],[1,2,30],[1,3,91],[1,4,14],[2,3,31],[2,4,54],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,4)=14,(1,2)=30,(2,3)=31,(3,4)=32,(2,4)=54,(0,1)=58,(0,2)=58,(0,4)=85,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=48\",\"Find(2)=1, Find(3)=0, Add (2,3)=31 Succeeded, w=79\",\"Find(3)=1, Find(4)=1, Add (3,4)=32 Failed, w=79\",\"Find(2)=1, Find(4)=1, Add (2,4)=54 Failed, w=79\",\"Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=79\",\"Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=79\",\"Find(0)=1, Find(4)=1, Add (0,4)=85 Failed, w=79\",\"Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,58],[0,2,58],[0,3,4],[0,4,85],[1,2,30],[1,3,91],[1,4,14],[2,3,31],[2,4,54],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,4)=14,(1,2)=30,(2,3)=31,(3,4)=32,(2,4)=54,(0,1)=58,(0,2)=58,(0,4)=85,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(3)=0, Add (2,3)=31 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=32 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=54 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=58 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=85 Failed, w=79\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,80],[1,2,49],[2,3,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[1,2,49],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[1,2,49],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[1,2,49],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=27, w=27\",\"Add (1,2)=49, w=76\",\"Add (0,1)=80, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[1,2,49],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=27 Succeeded, w=27\",\"Add (1,2)=49 Succeeded, w=76\",\"Add (0,1)=80 Succeeded, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[1,2,49],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=27,(1,2)=49,(0,1)=80]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=27\",\"Find(1)=1, Find(2)=2, Add (1,2)=49 Succeeded, w=76\",\"Find(0)=0, Find(1)=2, Add (0,1)=80 Succeeded, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,80],[1,2,49],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=27,(1,2)=49,(0,1)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=49 Succeeded, w=76\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=80 Succeeded, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,17],[0,3,79],[1,2,70],[2,3,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,79],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,79],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,79],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17, w=17\",\"Add (1,2)=70, w=87\",\"Add (2,3)=70, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,79],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=17 Succeeded, w=17\",\"Add (1,2)=70 Succeeded, w=87\",\"Add (2,3)=70 Succeeded, w=157\",\"Add (0,3)=79 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,79],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(1,2)=70,(2,3)=70,(0,3)=79]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Find(1)=0, Find(2)=2, Add (1,2)=70 Succeeded, w=87\",\"Find(2)=0, Find(3)=3, Add (2,3)=70 Succeeded, w=157\",\"Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,17],[0,3,79],[1,2,70],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=17,(1,2)=70,(2,3)=70,(0,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=70 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=70 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=79 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,6,69],[0,7,58],[1,3,72],[1,5,87],[2,3,10],[2,4,38],[2,5,48],[2,6,6],[3,5,6],[3,7,95],[5,6,25],[5,7,5],[6,7,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,69],[0,7,58],[1,3,72],[1,5,87],[2,3,10],[2,4,38],[2,5,48],[2,6,6],[3,5,6],[3,7,95],[5,6,25],[5,7,5],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,69],[0,7,58],[1,3,72],[1,5,87],[2,3,10],[2,4,38],[2,5,48],[2,6,6],[3,5,6],[3,7,95],[5,6,25],[5,7,5],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,7)\",\"Add (1,3)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,69],[0,7,58],[1,3,72],[1,5,87],[2,3,10],[2,4,38],[2,5,48],[2,6,6],[3,5,6],[3,7,95],[5,6,25],[5,7,5],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=5, w=5\",\"Add (2,6)=6, w=11\",\"Add (3,5)=6, w=17\",\"Add (2,3)=10, w=27\",\"Add (2,4)=38, w=65\",\"Add (0,7)=58, w=123\",\"Add (1,3)=72, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,69],[0,7,58],[1,3,72],[1,5,87],[2,3,10],[2,4,38],[2,5,48],[2,6,6],[3,5,6],[3,7,95],[5,6,25],[5,7,5],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=5 Succeeded, w=5\",\"Add (2,6)=6 Succeeded, w=11\",\"Add (3,5)=6 Succeeded, w=17\",\"Add (2,3)=10 Succeeded, w=27\",\"Add (6,7)=14 Failed, w=27\",\"Add (5,6)=25 Failed, w=27\",\"Add (2,4)=38 Succeeded, w=65\",\"Add (2,5)=48 Failed, w=65\",\"Add (0,7)=58 Succeeded, w=123\",\"Add (0,6)=69 Failed, w=123\",\"Add (1,3)=72 Succeeded, w=195\",\"Add (1,5)=87 Failed, w=195\",\"Add (3,7)=95 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,69],[0,7,58],[1,3,72],[1,5,87],[2,3,10],[2,4,38],[2,5,48],[2,6,6],[3,5,6],[3,7,95],[5,6,25],[5,7,5],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=5,(2,6)=6,(3,5)=6,(2,3)=10,(6,7)=14,(5,6)=25,(2,4)=38,(2,5)=48,(0,7)=58,(0,6)=69,(1,3)=72,(1,5)=87,(3,7)=95]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=11\",\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=17\",\"Find(2)=2, Find(3)=5, Add (2,3)=10 Succeeded, w=27\",\"Find(6)=2, Find(7)=2, Add (6,7)=14 Failed, w=27\",\"Find(5)=2, Find(6)=2, Add (5,6)=25 Failed, w=27\",\"Find(2)=2, Find(4)=4, Add (2,4)=38 Succeeded, w=65\",\"Find(2)=2, Find(5)=2, Add (2,5)=48 Failed, w=65\",\"Find(0)=0, Find(7)=2, Add (0,7)=58 Succeeded, w=123\",\"Find(0)=2, Find(6)=2, Add (0,6)=69 Failed, w=123\",\"Find(1)=1, Find(3)=2, Add (1,3)=72 Succeeded, w=195\",\"Find(1)=2, Find(5)=2, Add (1,5)=87 Failed, w=195\",\"Find(3)=2, Find(7)=2, Add (3,7)=95 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,6,69],[0,7,58],[1,3,72],[1,5,87],[2,3,10],[2,4,38],[2,5,48],[2,6,6],[3,5,6],[3,7,95],[5,6,25],[5,7,5],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=5,(2,6)=6,(3,5)=6,(2,3)=10,(6,7)=14,(5,6)=25,(2,4)=38,(2,5)=48,(0,7)=58,(0,6)=69,(1,3)=72,(1,5)=87,(3,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 5}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 4, 5: 5, 6: 2, 7: 5}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 4, 5: 2, 6: 2, 7: 5}, Find(2)=2, Find(3)=5, Add (2,3)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 4, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=14 Failed, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 4, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=25 Failed, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=38 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 5, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=48 Failed, w=65\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 5, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=58 Succeeded, w=123\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 5, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=69 Failed, w=123\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(3)=2, Add (1,3)=72 Succeeded, w=195\",\"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)=87 Failed, w=195\",\"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)=95 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,4],[0,2,70],[1,3,90],[2,3,11],[2,4,29],[3,4,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,70],[1,3,90],[2,3,11],[2,4,29],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,70],[1,3,90],[2,3,11],[2,4,29],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,70],[1,3,90],[2,3,11],[2,4,29],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (2,3)=11, w=15\",\"Add (2,4)=29, w=44\",\"Add (0,2)=70, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,70],[1,3,90],[2,3,11],[2,4,29],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (2,3)=11 Succeeded, w=15\",\"Add (2,4)=29 Succeeded, w=44\",\"Add (3,4)=69 Failed, w=44\",\"Add (0,2)=70 Succeeded, w=114\",\"Add (1,3)=90 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,70],[1,3,90],[2,3,11],[2,4,29],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,3)=11,(2,4)=29,(3,4)=69,(0,2)=70,(1,3)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=15\",\"Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=44\",\"Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=44\",\"Find(0)=0, Find(2)=2, Add (0,2)=70 Succeeded, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,70],[1,3,90],[2,3,11],[2,4,29],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,3)=11,(2,4)=29,(3,4)=69,(0,2)=70,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=70 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,53],[0,2,42],[0,3,82],[1,2,57],[1,3,11],[2,3,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,42],[0,3,82],[1,2,57],[1,3,11],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,42],[0,3,82],[1,2,57],[1,3,11],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,42],[0,3,82],[1,2,57],[1,3,11],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11, w=11\",\"Add (0,2)=42, w=53\",\"Add (0,1)=53, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,42],[0,3,82],[1,2,57],[1,3,11],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=11 Succeeded, w=11\",\"Add (0,2)=42 Succeeded, w=53\",\"Add (0,1)=53 Succeeded, w=106\",\"Add (1,2)=57 Failed, w=106\",\"Add (2,3)=67 Failed, w=106\",\"Add (0,3)=82 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,42],[0,3,82],[1,2,57],[1,3,11],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(0,2)=42,(0,1)=53,(1,2)=57,(2,3)=67,(0,3)=82]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=53\",\"Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=106\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=106\",\"Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=106\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,42],[0,3,82],[1,2,57],[1,3,11],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=11,(0,2)=42,(0,1)=53,(1,2)=57,(2,3)=67,(0,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=42 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,30],[0,2,6],[0,3,61],[1,2,81],[1,3,80],[2,3,48],[2,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,6],[0,3,61],[1,2,81],[1,3,80],[2,3,48],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,6],[0,3,61],[1,2,81],[1,3,80],[2,3,48],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,6],[0,3,61],[1,2,81],[1,3,80],[2,3,48],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (2,4)=21, w=27\",\"Add (0,1)=30, w=57\",\"Add (2,3)=48, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,6],[0,3,61],[1,2,81],[1,3,80],[2,3,48],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (2,4)=21 Succeeded, w=27\",\"Add (0,1)=30 Succeeded, w=57\",\"Add (2,3)=48 Succeeded, w=105\",\"Add (0,3)=61 Failed, w=105\",\"Add (1,3)=80 Failed, w=105\",\"Add (1,2)=81 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,6],[0,3,61],[1,2,81],[1,3,80],[2,3,48],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(2,4)=21,(0,1)=30,(2,3)=48,(0,3)=61,(1,3)=80,(1,2)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(2)=0, Find(4)=4, Add (2,4)=21 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=57\",\"Find(2)=0, Find(3)=3, Add (2,3)=48 Succeeded, w=105\",\"Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=105\",\"Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=105\",\"Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,6],[0,3,61],[1,2,81],[1,3,80],[2,3,48],[2,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(2,4)=21,(0,1)=30,(2,3)=48,(0,3)=61,(1,3)=80,(1,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=21 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=48 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=81 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,36],[0,3,27],[0,4,41],[0,7,82],[1,2,87],[1,3,22],[1,6,50],[1,7,67],[2,3,33],[2,6,30],[3,4,48],[3,5,55],[4,6,63],[4,7,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,27],[0,4,41],[0,7,82],[1,2,87],[1,3,22],[1,6,50],[1,7,67],[2,3,33],[2,6,30],[3,4,48],[3,5,55],[4,6,63],[4,7,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,27],[0,4,41],[0,7,82],[1,2,87],[1,3,22],[1,6,50],[1,7,67],[2,3,33],[2,6,30],[3,4,48],[3,5,55],[4,6,63],[4,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (3,5)\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,27],[0,4,41],[0,7,82],[1,2,87],[1,3,22],[1,6,50],[1,7,67],[2,3,33],[2,6,30],[3,4,48],[3,5,55],[4,6,63],[4,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=21, w=21\",\"Add (1,3)=22, w=43\",\"Add (0,3)=27, w=70\",\"Add (2,6)=30, w=100\",\"Add (2,3)=33, w=133\",\"Add (0,4)=41, w=174\",\"Add (3,5)=55, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,27],[0,4,41],[0,7,82],[1,2,87],[1,3,22],[1,6,50],[1,7,67],[2,3,33],[2,6,30],[3,4,48],[3,5,55],[4,6,63],[4,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=21 Succeeded, w=21\",\"Add (1,3)=22 Succeeded, w=43\",\"Add (0,3)=27 Succeeded, w=70\",\"Add (2,6)=30 Succeeded, w=100\",\"Add (2,3)=33 Succeeded, w=133\",\"Add (0,2)=36 Failed, w=133\",\"Add (0,4)=41 Succeeded, w=174\",\"Add (3,4)=48 Failed, w=174\",\"Add (1,6)=50 Failed, w=174\",\"Add (3,5)=55 Succeeded, w=229\",\"Add (4,6)=63 Failed, w=229\",\"Add (1,7)=67 Failed, w=229\",\"Add (0,7)=82 Failed, w=229\",\"Add (1,2)=87 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,27],[0,4,41],[0,7,82],[1,2,87],[1,3,22],[1,6,50],[1,7,67],[2,3,33],[2,6,30],[3,4,48],[3,5,55],[4,6,63],[4,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=21,(1,3)=22,(0,3)=27,(2,6)=30,(2,3)=33,(0,2)=36,(0,4)=41,(3,4)=48,(1,6)=50,(3,5)=55,(4,6)=63,(1,7)=67,(0,7)=82,(1,2)=87]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=21 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=43\",\"Find(0)=0, Find(3)=1, Add (0,3)=27 Succeeded, w=70\",\"Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=100\",\"Find(2)=2, Find(3)=1, Add (2,3)=33 Succeeded, w=133\",\"Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=133\",\"Find(0)=2, Find(4)=4, Add (0,4)=41 Succeeded, w=174\",\"Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=174\",\"Find(1)=2, Find(6)=2, Add (1,6)=50 Failed, w=174\",\"Find(3)=2, Find(5)=5, Add (3,5)=55 Succeeded, w=229\",\"Find(4)=2, Find(6)=2, Add (4,6)=63 Failed, w=229\",\"Find(1)=2, Find(7)=2, Add (1,7)=67 Failed, w=229\",\"Find(0)=2, Find(7)=2, Add (0,7)=82 Failed, w=229\",\"Find(1)=2, Find(2)=2, Add (1,2)=87 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,36],[0,3,27],[0,4,41],[0,7,82],[1,2,87],[1,3,22],[1,6,50],[1,7,67],[2,3,33],[2,6,30],[3,4,48],[3,5,55],[4,6,63],[4,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=21,(1,3)=22,(0,3)=27,(2,6)=30,(2,3)=33,(0,2)=36,(0,4)=41,(3,4)=48,(1,6)=50,(3,5)=55,(4,6)=63,(1,7)=67,(0,7)=82,(1,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 4}, Find(0)=0, Find(3)=1, Add (0,3)=27 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 2, 7: 4}, Find(2)=2, Find(6)=6, Add (2,6)=30 Succeeded, w=100\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 4, 5: 5, 6: 2, 7: 4}, Find(2)=2, Find(3)=1, Add (2,3)=33 Succeeded, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 4, 5: 5, 6: 2, 7: 4}, Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=133\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 5, 6: 2, 7: 4}, Find(0)=2, Find(4)=4, Add (0,4)=41 Succeeded, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 4}, Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 4}, Find(1)=2, Find(6)=2, Add (1,6)=50 Failed, w=174\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(3)=2, Find(5)=5, Add (3,5)=55 Succeeded, w=229\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 4}, Find(4)=2, Find(6)=2, Add (4,6)=63 Failed, w=229\",\"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=229\",\"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)=82 Failed, w=229\",\"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)=87 Failed, w=229\"],\"Answer\":229}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,22],[0,5,56],[0,6,18],[1,4,93],[1,5,53],[1,6,40],[2,3,87],[2,5,60],[2,6,1],[2,7,45],[3,4,11],[3,5,22],[3,7,10],[4,5,24],[4,6,62],[4,7,78],[5,6,49],[5,7,50],[6,7,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,22],[0,5,56],[0,6,18],[1,4,93],[1,5,53],[1,6,40],[2,3,87],[2,5,60],[2,6,1],[2,7,45],[3,4,11],[3,5,22],[3,7,10],[4,5,24],[4,6,62],[4,7,78],[5,6,49],[5,7,50],[6,7,64]]}",
"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\":[[0,4,22],[0,5,56],[0,6,18],[1,4,93],[1,5,53],[1,6,40],[2,3,87],[2,5,60],[2,6,1],[2,7,45],[3,4,11],[3,5,22],[3,7,10],[4,5,24],[4,6,62],[4,7,78],[5,6,49],[5,7,50],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (3,7)\",\"Add (3,4)\",\"Add (0,6)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (1,6)\"],\"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\":[[0,4,22],[0,5,56],[0,6,18],[1,4,93],[1,5,53],[1,6,40],[2,3,87],[2,5,60],[2,6,1],[2,7,45],[3,4,11],[3,5,22],[3,7,10],[4,5,24],[4,6,62],[4,7,78],[5,6,49],[5,7,50],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (3,7)=10, w=11\",\"Add (3,4)=11, w=22\",\"Add (0,6)=18, w=40\",\"Add (0,4)=22, w=62\",\"Add (3,5)=22, w=84\",\"Add (1,6)=40, 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\":[[0,4,22],[0,5,56],[0,6,18],[1,4,93],[1,5,53],[1,6,40],[2,3,87],[2,5,60],[2,6,1],[2,7,45],[3,4,11],[3,5,22],[3,7,10],[4,5,24],[4,6,62],[4,7,78],[5,6,49],[5,7,50],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (3,7)=10 Succeeded, w=11\",\"Add (3,4)=11 Succeeded, w=22\",\"Add (0,6)=18 Succeeded, w=40\",\"Add (0,4)=22 Succeeded, w=62\",\"Add (3,5)=22 Succeeded, w=84\",\"Add (4,5)=24 Failed, w=84\",\"Add (1,6)=40 Succeeded, w=124\",\"Add (2,7)=45 Failed, w=124\",\"Add (5,6)=49 Failed, w=124\",\"Add (5,7)=50 Failed, w=124\",\"Add (1,5)=53 Failed, w=124\",\"Add (0,5)=56 Failed, w=124\",\"Add (2,5)=60 Failed, w=124\",\"Add (4,6)=62 Failed, w=124\",\"Add (6,7)=64 Failed, w=124\",\"Add (4,7)=78 Failed, w=124\",\"Add (2,3)=87 Failed, w=124\",\"Add (1,4)=93 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\":[[0,4,22],[0,5,56],[0,6,18],[1,4,93],[1,5,53],[1,6,40],[2,3,87],[2,5,60],[2,6,1],[2,7,45],[3,4,11],[3,5,22],[3,7,10],[4,5,24],[4,6,62],[4,7,78],[5,6,49],[5,7,50],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(3,7)=10,(3,4)=11,(0,6)=18,(0,4)=22,(3,5)=22,(4,5)=24,(1,6)=40,(2,7)=45,(5,6)=49,(5,7)=50,(1,5)=53,(0,5)=56,(2,5)=60,(4,6)=62,(6,7)=64,(4,7)=78,(2,3)=87,(1,4)=93]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(7)=7, Add (3,7)=10 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=22\",\"Find(0)=0, Find(6)=2, Add (0,6)=18 Succeeded, w=40\",\"Find(0)=2, Find(4)=3, Add (0,4)=22 Succeeded, w=62\",\"Find(3)=2, Find(5)=5, Add (3,5)=22 Succeeded, w=84\",\"Find(4)=2, Find(5)=2, Add (4,5)=24 Failed, w=84\",\"Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=124\",\"Find(2)=2, Find(7)=2, Add (2,7)=45 Failed, w=124\",\"Find(5)=2, Find(6)=2, Add (5,6)=49 Failed, w=124\",\"Find(5)=2, Find(7)=2, Add (5,7)=50 Failed, w=124\",\"Find(1)=2, Find(5)=2, Add (1,5)=53 Failed, w=124\",\"Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=124\",\"Find(2)=2, Find(5)=2, Add (2,5)=60 Failed, w=124\",\"Find(4)=2, Find(6)=2, Add (4,6)=62 Failed, w=124\",\"Find(6)=2, Find(7)=2, Add (6,7)=64 Failed, w=124\",\"Find(4)=2, Find(7)=2, Add (4,7)=78 Failed, w=124\",\"Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=124\",\"Find(1)=2, Find(4)=2, Add (1,4)=93 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\":[[0,4,22],[0,5,56],[0,6,18],[1,4,93],[1,5,53],[1,6,40],[2,3,87],[2,5,60],[2,6,1],[2,7,45],[3,4,11],[3,5,22],[3,7,10],[4,5,24],[4,6,62],[4,7,78],[5,6,49],[5,7,50],[6,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(3,7)=10,(3,4)=11,(0,6)=18,(0,4)=22,(3,5)=22,(4,5)=24,(1,6)=40,(2,7)=45,(5,6)=49,(5,7)=50,(1,5)=53,(0,5)=56,(2,5)=60,(4,6)=62,(6,7)=64,(4,7)=78,(2,3)=87,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2, 7: 3}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2, 7: 3}, Find(0)=0, Find(6)=2, Add (0,6)=18 Succeeded, w=40\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 5, 6: 2, 7: 3}, Find(0)=2, Find(4)=3, Add (0,4)=22 Succeeded, w=62\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 3, 5: 2, 6: 2, 7: 3}, Find(3)=2, Find(5)=5, Add (3,5)=22 Succeeded, w=84\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 3}, Find(4)=2, Find(5)=2, Add (4,5)=24 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 3}, Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=45 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)=49 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)=50 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)=53 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)=56 Failed, w=124\",\"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)=60 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=62 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=64 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=78 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=87 Failed, w=124\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,57],[0,5,75],[0,6,50],[1,2,15],[1,3,1],[1,4,24],[1,6,5],[1,7,1],[2,3,95],[2,4,30],[2,5,84],[3,4,21],[3,5,7],[3,6,45],[3,7,40],[4,5,54],[4,6,17],[4,7,27],[5,6,73],[5,7,62],[6,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,5,75],[0,6,50],[1,2,15],[1,3,1],[1,4,24],[1,6,5],[1,7,1],[2,3,95],[2,4,30],[2,5,84],[3,4,21],[3,5,7],[3,6,45],[3,7,40],[4,5,54],[4,6,17],[4,7,27],[5,6,73],[5,7,62],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,5,75],[0,6,50],[1,2,15],[1,3,1],[1,4,24],[1,6,5],[1,7,1],[2,3,95],[2,4,30],[2,5,84],[3,4,21],[3,5,7],[3,6,45],[3,7,40],[4,5,54],[4,6,17],[4,7,27],[5,6,73],[5,7,62],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,7)\",\"Add (1,6)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (0,6)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,5,75],[0,6,50],[1,2,15],[1,3,1],[1,4,24],[1,6,5],[1,7,1],[2,3,95],[2,4,30],[2,5,84],[3,4,21],[3,5,7],[3,6,45],[3,7,40],[4,5,54],[4,6,17],[4,7,27],[5,6,73],[5,7,62],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (1,7)=1, w=2\",\"Add (1,6)=5, w=7\",\"Add (3,5)=7, w=14\",\"Add (1,2)=15, w=29\",\"Add (4,6)=17, w=46\",\"Add (0,6)=50, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,5,75],[0,6,50],[1,2,15],[1,3,1],[1,4,24],[1,6,5],[1,7,1],[2,3,95],[2,4,30],[2,5,84],[3,4,21],[3,5,7],[3,6,45],[3,7,40],[4,5,54],[4,6,17],[4,7,27],[5,6,73],[5,7,62],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (1,7)=1 Succeeded, w=2\",\"Add (1,6)=5 Succeeded, w=7\",\"Add (3,5)=7 Succeeded, w=14\",\"Add (1,2)=15 Succeeded, w=29\",\"Add (4,6)=17 Succeeded, w=46\",\"Add (3,4)=21 Failed, w=46\",\"Add (1,4)=24 Failed, w=46\",\"Add (4,7)=27 Failed, w=46\",\"Add (2,4)=30 Failed, w=46\",\"Add (3,7)=40 Failed, w=46\",\"Add (3,6)=45 Failed, w=46\",\"Add (0,6)=50 Succeeded, w=96\",\"Add (4,5)=54 Failed, w=96\",\"Add (0,2)=57 Failed, w=96\",\"Add (5,7)=62 Failed, w=96\",\"Add (5,6)=73 Failed, w=96\",\"Add (0,5)=75 Failed, w=96\",\"Add (2,5)=84 Failed, w=96\",\"Add (6,7)=84 Failed, w=96\",\"Add (2,3)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,5,75],[0,6,50],[1,2,15],[1,3,1],[1,4,24],[1,6,5],[1,7,1],[2,3,95],[2,4,30],[2,5,84],[3,4,21],[3,5,7],[3,6,45],[3,7,40],[4,5,54],[4,6,17],[4,7,27],[5,6,73],[5,7,62],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,7)=1,(1,6)=5,(3,5)=7,(1,2)=15,(4,6)=17,(3,4)=21,(1,4)=24,(4,7)=27,(2,4)=30,(3,7)=40,(3,6)=45,(0,6)=50,(4,5)=54,(0,2)=57,(5,7)=62,(5,6)=73,(0,5)=75,(2,5)=84,(6,7)=84,(2,3)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=2\",\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=7\",\"Find(3)=1, Find(5)=5, Add (3,5)=7 Succeeded, w=14\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=29\",\"Find(4)=4, Find(6)=1, Add (4,6)=17 Succeeded, w=46\",\"Find(3)=1, Find(4)=1, Add (3,4)=21 Failed, w=46\",\"Find(1)=1, Find(4)=1, Add (1,4)=24 Failed, w=46\",\"Find(4)=1, Find(7)=1, Add (4,7)=27 Failed, w=46\",\"Find(2)=1, Find(4)=1, Add (2,4)=30 Failed, w=46\",\"Find(3)=1, Find(7)=1, Add (3,7)=40 Failed, w=46\",\"Find(3)=1, Find(6)=1, Add (3,6)=45 Failed, w=46\",\"Find(0)=0, Find(6)=1, Add (0,6)=50 Succeeded, w=96\",\"Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=96\",\"Find(0)=1, Find(2)=1, Add (0,2)=57 Failed, w=96\",\"Find(5)=1, Find(7)=1, Add (5,7)=62 Failed, w=96\",\"Find(5)=1, Find(6)=1, Add (5,6)=73 Failed, w=96\",\"Find(0)=1, Find(5)=1, Add (0,5)=75 Failed, w=96\",\"Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=96\",\"Find(6)=1, Find(7)=1, Add (6,7)=84 Failed, w=96\",\"Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,57],[0,5,75],[0,6,50],[1,2,15],[1,3,1],[1,4,24],[1,6,5],[1,7,1],[2,3,95],[2,4,30],[2,5,84],[3,4,21],[3,5,7],[3,6,45],[3,7,40],[4,5,54],[4,6,17],[4,7,27],[5,6,73],[5,7,62],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(1,7)=1,(1,6)=5,(3,5)=7,(1,2)=15,(4,6)=17,(3,4)=21,(1,4)=24,(4,7)=27,(2,4)=30,(3,7)=40,(3,6)=45,(0,6)=50,(4,5)=54,(0,2)=57,(5,7)=62,(5,6)=73,(0,5)=75,(2,5)=84,(6,7)=84,(2,3)=95]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=5, Add (3,5)=7 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=4, Find(6)=1, Add (4,6)=17 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=21 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=24 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=27 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=30 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=40 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=45 Failed, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=0, Find(6)=1, Add (0,6)=50 Succeeded, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=54 Failed, w=96\",\"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)=57 Failed, w=96\",\"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)=62 Failed, w=96\",\"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)=73 Failed, w=96\",\"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)=75 Failed, w=96\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=96\",\"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)=84 Failed, w=96\",\"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)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,38],[0,2,3],[0,3,98],[0,4,18],[1,2,80],[1,4,17],[2,3,16],[2,4,24],[3,4,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,3],[0,3,98],[0,4,18],[1,2,80],[1,4,17],[2,3,16],[2,4,24],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,3],[0,3,98],[0,4,18],[1,2,80],[1,4,17],[2,3,16],[2,4,24],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,3],[0,3,98],[0,4,18],[1,2,80],[1,4,17],[2,3,16],[2,4,24],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (2,3)=16, w=19\",\"Add (1,4)=17, w=36\",\"Add (0,4)=18, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,3],[0,3,98],[0,4,18],[1,2,80],[1,4,17],[2,3,16],[2,4,24],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (2,3)=16 Succeeded, w=19\",\"Add (1,4)=17 Succeeded, w=36\",\"Add (0,4)=18 Succeeded, w=54\",\"Add (2,4)=24 Failed, w=54\",\"Add (0,1)=38 Failed, w=54\",\"Add (3,4)=61 Failed, w=54\",\"Add (1,2)=80 Failed, w=54\",\"Add (0,3)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,3],[0,3,98],[0,4,18],[1,2,80],[1,4,17],[2,3,16],[2,4,24],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,3)=16,(1,4)=17,(0,4)=18,(2,4)=24,(0,1)=38,(3,4)=61,(1,2)=80,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=19\",\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=36\",\"Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=54\",\"Find(2)=0, Find(4)=0, Add (2,4)=24 Failed, w=54\",\"Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=54\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=54\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=54\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,3],[0,3,98],[0,4,18],[1,2,80],[1,4,17],[2,3,16],[2,4,24],[3,4,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(2,3)=16,(1,4)=17,(0,4)=18,(2,4)=24,(0,1)=38,(3,4)=61,(1,2)=80,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=18 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=24 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=38 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,57],[0,2,93],[0,3,59],[0,4,44],[1,2,53],[1,3,99],[2,4,81],[3,4,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,59],[0,4,44],[1,2,53],[1,3,99],[2,4,81],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,59],[0,4,44],[1,2,53],[1,3,99],[2,4,81],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,59],[0,4,44],[1,2,53],[1,3,99],[2,4,81],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=44, w=44\",\"Add (1,2)=53, w=97\",\"Add (0,1)=57, w=154\",\"Add (0,3)=59, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,59],[0,4,44],[1,2,53],[1,3,99],[2,4,81],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=44 Succeeded, w=44\",\"Add (1,2)=53 Succeeded, w=97\",\"Add (0,1)=57 Succeeded, w=154\",\"Add (0,3)=59 Succeeded, w=213\",\"Add (2,4)=81 Failed, w=213\",\"Add (3,4)=89 Failed, w=213\",\"Add (0,2)=93 Failed, w=213\",\"Add (1,3)=99 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,59],[0,4,44],[1,2,53],[1,3,99],[2,4,81],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=44,(1,2)=53,(0,1)=57,(0,3)=59,(2,4)=81,(3,4)=89,(0,2)=93,(1,3)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=44\",\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=97\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=154\",\"Find(0)=0, Find(3)=3, Add (0,3)=59 Succeeded, w=213\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=213\",\"Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=213\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=213\",\"Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,57],[0,2,93],[0,3,59],[0,4,44],[1,2,53],[1,3,99],[2,4,81],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=44,(1,2)=53,(0,1)=57,(0,3)=59,(2,4)=81,(3,4)=89,(0,2)=93,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=154\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=59 Succeeded, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=99 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,27],[0,3,9],[0,4,47],[0,5,76],[0,6,36],[0,7,78],[1,2,89],[1,3,80],[1,4,78],[1,5,26],[1,6,86],[1,7,4],[2,3,70],[2,4,5],[2,5,72],[2,6,20],[2,7,31],[3,6,88],[3,7,49],[4,6,90],[4,7,3],[5,6,1],[6,7,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,9],[0,4,47],[0,5,76],[0,6,36],[0,7,78],[1,2,89],[1,3,80],[1,4,78],[1,5,26],[1,6,86],[1,7,4],[2,3,70],[2,4,5],[2,5,72],[2,6,20],[2,7,31],[3,6,88],[3,7,49],[4,6,90],[4,7,3],[5,6,1],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,9],[0,4,47],[0,5,76],[0,6,36],[0,7,78],[1,2,89],[1,3,80],[1,4,78],[1,5,26],[1,6,86],[1,7,4],[2,3,70],[2,4,5],[2,5,72],[2,6,20],[2,7,31],[3,6,88],[3,7,49],[4,6,90],[4,7,3],[5,6,1],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (4,7)\",\"Add (1,7)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (2,6)\",\"Add (0,2)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,9],[0,4,47],[0,5,76],[0,6,36],[0,7,78],[1,2,89],[1,3,80],[1,4,78],[1,5,26],[1,6,86],[1,7,4],[2,3,70],[2,4,5],[2,5,72],[2,6,20],[2,7,31],[3,6,88],[3,7,49],[4,6,90],[4,7,3],[5,6,1],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1, w=1\",\"Add (4,7)=3, w=4\",\"Add (1,7)=4, w=8\",\"Add (2,4)=5, w=13\",\"Add (0,3)=9, w=22\",\"Add (2,6)=20, w=42\",\"Add (0,2)=27, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,9],[0,4,47],[0,5,76],[0,6,36],[0,7,78],[1,2,89],[1,3,80],[1,4,78],[1,5,26],[1,6,86],[1,7,4],[2,3,70],[2,4,5],[2,5,72],[2,6,20],[2,7,31],[3,6,88],[3,7,49],[4,6,90],[4,7,3],[5,6,1],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=1 Succeeded, w=1\",\"Add (4,7)=3 Succeeded, w=4\",\"Add (1,7)=4 Succeeded, w=8\",\"Add (2,4)=5 Succeeded, w=13\",\"Add (0,3)=9 Succeeded, w=22\",\"Add (2,6)=20 Succeeded, w=42\",\"Add (1,5)=26 Failed, w=42\",\"Add (0,2)=27 Succeeded, w=69\",\"Add (2,7)=31 Failed, w=69\",\"Add (0,6)=36 Failed, w=69\",\"Add (0,4)=47 Failed, w=69\",\"Add (3,7)=49 Failed, w=69\",\"Add (6,7)=62 Failed, w=69\",\"Add (2,3)=70 Failed, w=69\",\"Add (2,5)=72 Failed, w=69\",\"Add (0,5)=76 Failed, w=69\",\"Add (0,7)=78 Failed, w=69\",\"Add (1,4)=78 Failed, w=69\",\"Add (1,3)=80 Failed, w=69\",\"Add (1,6)=86 Failed, w=69\",\"Add (3,6)=88 Failed, w=69\",\"Add (1,2)=89 Failed, w=69\",\"Add (4,6)=90 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,9],[0,4,47],[0,5,76],[0,6,36],[0,7,78],[1,2,89],[1,3,80],[1,4,78],[1,5,26],[1,6,86],[1,7,4],[2,3,70],[2,4,5],[2,5,72],[2,6,20],[2,7,31],[3,6,88],[3,7,49],[4,6,90],[4,7,3],[5,6,1],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(4,7)=3,(1,7)=4,(2,4)=5,(0,3)=9,(2,6)=20,(1,5)=26,(0,2)=27,(2,7)=31,(0,6)=36,(0,4)=47,(3,7)=49,(6,7)=62,(2,3)=70,(2,5)=72,(0,5)=76,(0,7)=78,(1,4)=78,(1,3)=80,(1,6)=86,(3,6)=88,(1,2)=89,(4,6)=90]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=4\",\"Find(1)=1, Find(7)=4, Add (1,7)=4 Succeeded, w=8\",\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=22\",\"Find(2)=4, Find(6)=5, Add (2,6)=20 Succeeded, w=42\",\"Find(1)=4, Find(5)=4, Add (1,5)=26 Failed, w=42\",\"Find(0)=0, Find(2)=4, Add (0,2)=27 Succeeded, w=69\",\"Find(2)=4, Find(7)=4, Add (2,7)=31 Failed, w=69\",\"Find(0)=4, Find(6)=4, Add (0,6)=36 Failed, w=69\",\"Find(0)=4, Find(4)=4, Add (0,4)=47 Failed, w=69\",\"Find(3)=4, Find(7)=4, Add (3,7)=49 Failed, w=69\",\"Find(6)=4, Find(7)=4, Add (6,7)=62 Failed, w=69\",\"Find(2)=4, Find(3)=4, Add (2,3)=70 Failed, w=69\",\"Find(2)=4, Find(5)=4, Add (2,5)=72 Failed, w=69\",\"Find(0)=4, Find(5)=4, Add (0,5)=76 Failed, w=69\",\"Find(0)=4, Find(7)=4, Add (0,7)=78 Failed, w=69\",\"Find(1)=4, Find(4)=4, Add (1,4)=78 Failed, w=69\",\"Find(1)=4, Find(3)=4, Add (1,3)=80 Failed, w=69\",\"Find(1)=4, Find(6)=4, Add (1,6)=86 Failed, w=69\",\"Find(3)=4, Find(6)=4, Add (3,6)=88 Failed, w=69\",\"Find(1)=4, Find(2)=4, Add (1,2)=89 Failed, w=69\",\"Find(4)=4, Find(6)=4, Add (4,6)=90 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,3,9],[0,4,47],[0,5,76],[0,6,36],[0,7,78],[1,2,89],[1,3,80],[1,4,78],[1,5,26],[1,6,86],[1,7,4],[2,3,70],[2,4,5],[2,5,72],[2,6,20],[2,7,31],[3,6,88],[3,7,49],[4,6,90],[4,7,3],[5,6,1],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=1,(4,7)=3,(1,7)=4,(2,4)=5,(0,3)=9,(2,6)=20,(1,5)=26,(0,2)=27,(2,7)=31,(0,6)=36,(0,4)=47,(3,7)=49,(6,7)=62,(2,3)=70,(2,5)=72,(0,5)=76,(0,7)=78,(1,4)=78,(1,3)=80,(1,6)=86,(3,6)=88,(1,2)=89,(4,6)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 5, 6: 5, 7: 4}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=13\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 5, 6: 5, 7: 4}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=22\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 5, 7: 4}, Find(2)=4, Find(6)=5, Add (2,6)=20 Succeeded, w=42\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 5, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=26 Failed, w=42\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 5, 7: 4}, Find(0)=0, Find(2)=4, Add (0,2)=27 Succeeded, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 5, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=31 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=36 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 0, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=47 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=49 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=62 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=70 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=72 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=76 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=78 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=78 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=80 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=86 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=88 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=89 Failed, w=69\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=90 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,2],[0,4,75],[1,2,96],[1,4,57],[1,5,61],[2,4,54],[3,5,1],[4,5,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,4,75],[1,2,96],[1,4,57],[1,5,61],[2,4,54],[3,5,1],[4,5,32]]}",
"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],\"edges\":[[0,2,2],[0,4,75],[1,2,96],[1,4,57],[1,5,61],[2,4,54],[3,5,1],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,2)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,4,75],[1,2,96],[1,4,57],[1,5,61],[2,4,54],[3,5,1],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (0,2)=2, w=3\",\"Add (4,5)=32, w=35\",\"Add (2,4)=54, w=89\",\"Add (1,4)=57, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,2],[0,4,75],[1,2,96],[1,4,57],[1,5,61],[2,4,54],[3,5,1],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (0,2)=2 Succeeded, w=3\",\"Add (4,5)=32 Succeeded, w=35\",\"Add (2,4)=54 Succeeded, w=89\",\"Add (1,4)=57 Succeeded, w=146\",\"Add (1,5)=61 Failed, w=146\",\"Add (0,4)=75 Failed, w=146\",\"Add (1,2)=96 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],\"edges\":[[0,2,2],[0,4,75],[1,2,96],[1,4,57],[1,5,61],[2,4,54],[3,5,1],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,2)=2,(4,5)=32,(2,4)=54,(1,4)=57,(1,5)=61,(0,4)=75,(1,2)=96]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=3\",\"Find(4)=4, Find(5)=3, Add (4,5)=32 Succeeded, w=35\",\"Find(2)=0, Find(4)=3, Add (2,4)=54 Succeeded, w=89\",\"Find(1)=1, Find(4)=0, Add (1,4)=57 Succeeded, w=146\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=146\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=146\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 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],\"edges\":[[0,2,2],[0,4,75],[1,2,96],[1,4,57],[1,5,61],[2,4,54],[3,5,1],[4,5,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(0,2)=2,(4,5)=32,(2,4)=54,(1,4)=57,(1,5)=61,(0,4)=75,(1,2)=96]\",\"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)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 3}, Find(4)=4, Find(5)=3, Add (4,5)=32 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 3}, Find(2)=0, Find(4)=3, Add (2,4)=54 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=1, Find(4)=0, Add (1,4)=57 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,24],[0,2,87],[0,3,0],[0,4,34],[0,5,72],[0,6,18],[0,7,46],[1,3,93],[1,5,56],[1,7,91],[2,4,62],[2,5,59],[2,7,79],[3,4,69],[3,6,68],[3,7,1],[4,7,47],[5,6,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,87],[0,3,0],[0,4,34],[0,5,72],[0,6,18],[0,7,46],[1,3,93],[1,5,56],[1,7,91],[2,4,62],[2,5,59],[2,7,79],[3,4,69],[3,6,68],[3,7,1],[4,7,47],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,87],[0,3,0],[0,4,34],[0,5,72],[0,6,18],[0,7,46],[1,3,93],[1,5,56],[1,7,91],[2,4,62],[2,5,59],[2,7,79],[3,4,69],[3,6,68],[3,7,1],[4,7,47],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,7)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (2,5)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,87],[0,3,0],[0,4,34],[0,5,72],[0,6,18],[0,7,46],[1,3,93],[1,5,56],[1,7,91],[2,4,62],[2,5,59],[2,7,79],[3,4,69],[3,6,68],[3,7,1],[4,7,47],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (3,7)=1, w=1\",\"Add (0,6)=18, w=19\",\"Add (0,1)=24, w=43\",\"Add (0,4)=34, w=77\",\"Add (1,5)=56, w=133\",\"Add (2,5)=59, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,87],[0,3,0],[0,4,34],[0,5,72],[0,6,18],[0,7,46],[1,3,93],[1,5,56],[1,7,91],[2,4,62],[2,5,59],[2,7,79],[3,4,69],[3,6,68],[3,7,1],[4,7,47],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (3,7)=1 Succeeded, w=1\",\"Add (0,6)=18 Succeeded, w=19\",\"Add (0,1)=24 Succeeded, w=43\",\"Add (0,4)=34 Succeeded, w=77\",\"Add (0,7)=46 Failed, w=77\",\"Add (4,7)=47 Failed, w=77\",\"Add (1,5)=56 Succeeded, w=133\",\"Add (2,5)=59 Succeeded, w=192\",\"Add (2,4)=62 Failed, w=192\",\"Add (3,6)=68 Failed, w=192\",\"Add (3,4)=69 Failed, w=192\",\"Add (0,5)=72 Failed, w=192\",\"Add (2,7)=79 Failed, w=192\",\"Add (0,2)=87 Failed, w=192\",\"Add (1,7)=91 Failed, w=192\",\"Add (1,3)=93 Failed, w=192\",\"Add (5,6)=99 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,87],[0,3,0],[0,4,34],[0,5,72],[0,6,18],[0,7,46],[1,3,93],[1,5,56],[1,7,91],[2,4,62],[2,5,59],[2,7,79],[3,4,69],[3,6,68],[3,7,1],[4,7,47],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,7)=1,(0,6)=18,(0,1)=24,(0,4)=34,(0,7)=46,(4,7)=47,(1,5)=56,(2,5)=59,(2,4)=62,(3,6)=68,(3,4)=69,(0,5)=72,(2,7)=79,(0,2)=87,(1,7)=91,(1,3)=93,(5,6)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(3)=0, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=43\",\"Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=77\",\"Find(0)=0, Find(7)=0, Add (0,7)=46 Failed, w=77\",\"Find(4)=0, Find(7)=0, Add (4,7)=47 Failed, w=77\",\"Find(1)=0, Find(5)=5, Add (1,5)=56 Succeeded, w=133\",\"Find(2)=2, Find(5)=0, Add (2,5)=59 Succeeded, w=192\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=192\",\"Find(3)=0, Find(6)=0, Add (3,6)=68 Failed, w=192\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=192\",\"Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=192\",\"Find(2)=0, Find(7)=0, Add (2,7)=79 Failed, w=192\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=192\",\"Find(1)=0, Find(7)=0, Add (1,7)=91 Failed, w=192\",\"Find(1)=0, Find(3)=0, Add (1,3)=93 Failed, w=192\",\"Find(5)=0, Find(6)=0, Add (5,6)=99 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,24],[0,2,87],[0,3,0],[0,4,34],[0,5,72],[0,6,18],[0,7,46],[1,3,93],[1,5,56],[1,7,91],[2,4,62],[2,5,59],[2,7,79],[3,4,69],[3,6,68],[3,7,1],[4,7,47],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,7)=1,(0,6)=18,(0,1)=24,(0,4)=34,(0,7)=46,(4,7)=47,(1,5)=56,(2,5)=59,(2,4)=62,(3,6)=68,(3,4)=69,(0,5)=72,(2,7)=79,(0,2)=87,(1,7)=91,(1,3)=93,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=46 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=47 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=5, Add (1,5)=56 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(5)=0, Add (2,5)=59 Succeeded, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=68 Failed, w=192\",\"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)=69 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=79 Failed, w=192\",\"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=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=91 Failed, w=192\",\"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)=93 Failed, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=99 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,24],[0,2,75],[0,3,83],[0,4,93],[1,2,70],[1,4,2],[1,5,2],[2,3,32],[2,4,63],[3,4,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,75],[0,3,83],[0,4,93],[1,2,70],[1,4,2],[1,5,2],[2,3,32],[2,4,63],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,75],[0,3,83],[0,4,93],[1,2,70],[1,4,2],[1,5,2],[2,3,32],[2,4,63],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (2,3)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,75],[0,3,83],[0,4,93],[1,2,70],[1,4,2],[1,5,2],[2,3,32],[2,4,63],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (1,5)=2, w=4\",\"Add (0,1)=24, w=28\",\"Add (3,4)=30, w=58\",\"Add (2,3)=32, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,75],[0,3,83],[0,4,93],[1,2,70],[1,4,2],[1,5,2],[2,3,32],[2,4,63],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (1,5)=2 Succeeded, w=4\",\"Add (0,1)=24 Succeeded, w=28\",\"Add (3,4)=30 Succeeded, w=58\",\"Add (2,3)=32 Succeeded, w=90\",\"Add (2,4)=63 Failed, w=90\",\"Add (1,2)=70 Failed, w=90\",\"Add (0,2)=75 Failed, w=90\",\"Add (0,3)=83 Failed, w=90\",\"Add (0,4)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,75],[0,3,83],[0,4,93],[1,2,70],[1,4,2],[1,5,2],[2,3,32],[2,4,63],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,5)=2,(0,1)=24,(3,4)=30,(2,3)=32,(2,4)=63,(1,2)=70,(0,2)=75,(0,3)=83,(0,4)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=28\",\"Find(3)=3, Find(4)=1, Add (3,4)=30 Succeeded, w=58\",\"Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=90\",\"Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=90\",\"Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=90\",\"Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=90\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=90\",\"Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,75],[0,3,83],[0,4,93],[1,2,70],[1,4,2],[1,5,2],[2,3,32],[2,4,63],[3,4,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,5)=2,(0,1)=24,(3,4)=30,(2,3)=32,(2,4)=63,(1,2)=70,(0,2)=75,(0,3)=83,(0,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(4)=1, Add (3,4)=30 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=63 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=75 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,54],[0,4,52],[0,5,56],[0,6,78],[0,7,44],[1,3,6],[1,4,56],[1,5,63],[1,6,100],[2,3,76],[2,5,83],[2,6,80],[2,7,44],[3,5,26],[3,6,99],[3,7,16],[4,5,84],[4,7,31],[5,7,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,52],[0,5,56],[0,6,78],[0,7,44],[1,3,6],[1,4,56],[1,5,63],[1,6,100],[2,3,76],[2,5,83],[2,6,80],[2,7,44],[3,5,26],[3,6,99],[3,7,16],[4,5,84],[4,7,31],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":245}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,52],[0,5,56],[0,6,78],[0,7,44],[1,3,6],[1,4,56],[1,5,63],[1,6,100],[2,3,76],[2,5,83],[2,6,80],[2,7,44],[3,5,26],[3,6,99],[3,7,16],[4,5,84],[4,7,31],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,7)\",\"Add (3,5)\",\"Add (4,7)\",\"Add (0,7)\",\"Add (2,7)\",\"Add (0,6)\"],\"Answer\":245}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,52],[0,5,56],[0,6,78],[0,7,44],[1,3,6],[1,4,56],[1,5,63],[1,6,100],[2,3,76],[2,5,83],[2,6,80],[2,7,44],[3,5,26],[3,6,99],[3,7,16],[4,5,84],[4,7,31],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (3,7)=16, w=22\",\"Add (3,5)=26, w=48\",\"Add (4,7)=31, w=79\",\"Add (0,7)=44, w=123\",\"Add (2,7)=44, w=167\",\"Add (0,6)=78, w=245\"],\"Answer\":245}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,52],[0,5,56],[0,6,78],[0,7,44],[1,3,6],[1,4,56],[1,5,63],[1,6,100],[2,3,76],[2,5,83],[2,6,80],[2,7,44],[3,5,26],[3,6,99],[3,7,16],[4,5,84],[4,7,31],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (3,7)=16 Succeeded, w=22\",\"Add (3,5)=26 Succeeded, w=48\",\"Add (4,7)=31 Succeeded, w=79\",\"Add (0,7)=44 Succeeded, w=123\",\"Add (2,7)=44 Succeeded, w=167\",\"Add (0,4)=52 Failed, w=167\",\"Add (0,1)=54 Failed, w=167\",\"Add (0,5)=56 Failed, w=167\",\"Add (1,4)=56 Failed, w=167\",\"Add (5,7)=56 Failed, w=167\",\"Add (1,5)=63 Failed, w=167\",\"Add (2,3)=76 Failed, w=167\",\"Add (0,6)=78 Succeeded, w=245\",\"Add (2,6)=80 Failed, w=245\",\"Add (2,5)=83 Failed, w=245\",\"Add (4,5)=84 Failed, w=245\",\"Add (3,6)=99 Failed, w=245\",\"Add (1,6)=100 Failed, w=245\"],\"Answer\":245}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,52],[0,5,56],[0,6,78],[0,7,44],[1,3,6],[1,4,56],[1,5,63],[1,6,100],[2,3,76],[2,5,83],[2,6,80],[2,7,44],[3,5,26],[3,6,99],[3,7,16],[4,5,84],[4,7,31],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(3,7)=16,(3,5)=26,(4,7)=31,(0,7)=44,(2,7)=44,(0,4)=52,(0,1)=54,(0,5)=56,(1,4)=56,(5,7)=56,(1,5)=63,(2,3)=76,(0,6)=78,(2,6)=80,(2,5)=83,(4,5)=84,(3,6)=99,(1,6)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(3)=1, Find(7)=7, Add (3,7)=16 Succeeded, w=22\",\"Find(3)=1, Find(5)=5, Add (3,5)=26 Succeeded, w=48\",\"Find(4)=4, Find(7)=1, Add (4,7)=31 Succeeded, w=79\",\"Find(0)=0, Find(7)=1, Add (0,7)=44 Succeeded, w=123\",\"Find(2)=2, Find(7)=1, Add (2,7)=44 Succeeded, w=167\",\"Find(0)=1, Find(4)=1, Add (0,4)=52 Failed, w=167\",\"Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=167\",\"Find(0)=1, Find(5)=1, Add (0,5)=56 Failed, w=167\",\"Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=167\",\"Find(5)=1, Find(7)=1, Add (5,7)=56 Failed, w=167\",\"Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=167\",\"Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=167\",\"Find(0)=1, Find(6)=6, Add (0,6)=78 Succeeded, w=245\",\"Find(2)=1, Find(6)=1, Add (2,6)=80 Failed, w=245\",\"Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=245\",\"Find(4)=1, Find(5)=1, Add (4,5)=84 Failed, w=245\",\"Find(3)=1, Find(6)=1, Add (3,6)=99 Failed, w=245\",\"Find(1)=1, Find(6)=1, Add (1,6)=100 Failed, w=245\"],\"Answer\":245}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,54],[0,4,52],[0,5,56],[0,6,78],[0,7,44],[1,3,6],[1,4,56],[1,5,63],[1,6,100],[2,3,76],[2,5,83],[2,6,80],[2,7,44],[3,5,26],[3,6,99],[3,7,16],[4,5,84],[4,7,31],[5,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(3,7)=16,(3,5)=26,(4,7)=31,(0,7)=44,(2,7)=44,(0,4)=52,(0,1)=54,(0,5)=56,(1,4)=56,(5,7)=56,(1,5)=63,(2,3)=76,(0,6)=78,(2,6)=80,(2,5)=83,(4,5)=84,(3,6)=99,(1,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=16 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(3)=1, Find(5)=5, Add (3,5)=26 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=31 Succeeded, w=79\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=44 Succeeded, w=123\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=2, Find(7)=1, Add (2,7)=44 Succeeded, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=52 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=56 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=56 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=63 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=6, Add (0,6)=78 Succeeded, w=245\",\"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)=80 Failed, w=245\",\"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)=83 Failed, w=245\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=84 Failed, w=245\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=99 Failed, w=245\",\"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)=100 Failed, w=245\"],\"Answer\":245}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,7],[0,3,65],[0,5,58],[0,6,11],[1,2,31],[1,6,85],[2,6,37],[3,5,70],[4,5,98],[4,6,67],[5,6,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,65],[0,5,58],[0,6,11],[1,2,31],[1,6,85],[2,6,37],[3,5,70],[4,5,98],[4,6,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,65],[0,5,58],[0,6,11],[1,2,31],[1,6,85],[2,6,37],[3,5,70],[4,5,98],[4,6,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (4,6)\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,65],[0,5,58],[0,6,11],[1,2,31],[1,6,85],[2,6,37],[3,5,70],[4,5,98],[4,6,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7, w=7\",\"Add (0,6)=11, w=18\",\"Add (5,6)=23, w=41\",\"Add (1,2)=31, w=72\",\"Add (0,3)=65, w=137\",\"Add (4,6)=67, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,65],[0,5,58],[0,6,11],[1,2,31],[1,6,85],[2,6,37],[3,5,70],[4,5,98],[4,6,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=7 Succeeded, w=7\",\"Add (0,6)=11 Succeeded, w=18\",\"Add (5,6)=23 Succeeded, w=41\",\"Add (1,2)=31 Succeeded, w=72\",\"Add (2,6)=37 Failed, w=72\",\"Add (0,5)=58 Failed, w=72\",\"Add (0,3)=65 Succeeded, w=137\",\"Add (4,6)=67 Succeeded, w=204\",\"Add (3,5)=70 Failed, w=204\",\"Add (1,6)=85 Failed, w=204\",\"Add (4,5)=98 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,65],[0,5,58],[0,6,11],[1,2,31],[1,6,85],[2,6,37],[3,5,70],[4,5,98],[4,6,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,6)=11,(5,6)=23,(1,2)=31,(2,6)=37,(0,5)=58,(0,3)=65,(4,6)=67,(3,5)=70,(1,6)=85,(4,5)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=11 Succeeded, w=18\",\"Find(5)=5, Find(6)=0, Add (5,6)=23 Succeeded, w=41\",\"Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=72\",\"Find(2)=0, Find(6)=0, Add (2,6)=37 Failed, w=72\",\"Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=72\",\"Find(0)=0, Find(3)=3, Add (0,3)=65 Succeeded, w=137\",\"Find(4)=4, Find(6)=0, Add (4,6)=67 Succeeded, w=204\",\"Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=204\",\"Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=204\",\"Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,7],[0,3,65],[0,5,58],[0,6,11],[1,2,31],[1,6,85],[2,6,37],[3,5,70],[4,5,98],[4,6,67],[5,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=7,(0,6)=11,(5,6)=23,(1,2)=31,(2,6)=37,(0,5)=58,(0,3)=65,(4,6)=67,(3,5)=70,(1,6)=85,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=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)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=23 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=37 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=65 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=67 Succeeded, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=70 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=85 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,89],[0,2,91],[0,4,94],[0,5,18],[0,6,2],[1,3,90],[1,5,45],[1,6,48],[1,7,56],[2,3,27],[2,5,60],[2,7,23],[3,4,33],[3,5,65],[3,6,59],[4,6,86],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,91],[0,4,94],[0,5,18],[0,6,2],[1,3,90],[1,5,45],[1,6,48],[1,7,56],[2,3,27],[2,5,60],[2,7,23],[3,4,33],[3,5,65],[3,6,59],[4,6,86],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,91],[0,4,94],[0,5,18],[0,6,2],[1,3,90],[1,5,45],[1,6,48],[1,7,56],[2,3,27],[2,5,60],[2,7,23],[3,4,33],[3,5,65],[3,6,59],[4,6,86],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,5)\",\"Add (2,7)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (1,7)\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,91],[0,4,94],[0,5,18],[0,6,2],[1,3,90],[1,5,45],[1,6,48],[1,7,56],[2,3,27],[2,5,60],[2,7,23],[3,4,33],[3,5,65],[3,6,59],[4,6,86],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2, w=2\",\"Add (0,5)=18, w=20\",\"Add (2,7)=23, w=43\",\"Add (2,3)=27, w=70\",\"Add (3,4)=33, w=103\",\"Add (1,5)=45, w=148\",\"Add (1,7)=56, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,91],[0,4,94],[0,5,18],[0,6,2],[1,3,90],[1,5,45],[1,6,48],[1,7,56],[2,3,27],[2,5,60],[2,7,23],[3,4,33],[3,5,65],[3,6,59],[4,6,86],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2 Succeeded, w=2\",\"Add (0,5)=18 Succeeded, w=20\",\"Add (2,7)=23 Succeeded, w=43\",\"Add (2,3)=27 Succeeded, w=70\",\"Add (3,4)=33 Succeeded, w=103\",\"Add (1,5)=45 Succeeded, w=148\",\"Add (1,6)=48 Failed, w=148\",\"Add (1,7)=56 Succeeded, w=204\",\"Add (3,6)=59 Failed, w=204\",\"Add (2,5)=60 Failed, w=204\",\"Add (3,5)=65 Failed, w=204\",\"Add (4,6)=86 Failed, w=204\",\"Add (6,7)=87 Failed, w=204\",\"Add (0,1)=89 Failed, w=204\",\"Add (1,3)=90 Failed, w=204\",\"Add (0,2)=91 Failed, w=204\",\"Add (0,4)=94 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,91],[0,4,94],[0,5,18],[0,6,2],[1,3,90],[1,5,45],[1,6,48],[1,7,56],[2,3,27],[2,5,60],[2,7,23],[3,4,33],[3,5,65],[3,6,59],[4,6,86],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(0,5)=18,(2,7)=23,(2,3)=27,(3,4)=33,(1,5)=45,(1,6)=48,(1,7)=56,(3,6)=59,(2,5)=60,(3,5)=65,(4,6)=86,(6,7)=87,(0,1)=89,(1,3)=90,(0,2)=91,(0,4)=94]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=20\",\"Find(2)=2, Find(7)=7, Add (2,7)=23 Succeeded, w=43\",\"Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=70\",\"Find(3)=2, Find(4)=4, Add (3,4)=33 Succeeded, w=103\",\"Find(1)=1, Find(5)=0, Add (1,5)=45 Succeeded, w=148\",\"Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=148\",\"Find(1)=0, Find(7)=2, Add (1,7)=56 Succeeded, w=204\",\"Find(3)=0, Find(6)=0, Add (3,6)=59 Failed, w=204\",\"Find(2)=0, Find(5)=0, Add (2,5)=60 Failed, w=204\",\"Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=204\",\"Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=204\",\"Find(6)=0, Find(7)=0, Add (6,7)=87 Failed, w=204\",\"Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=204\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=204\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=204\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,91],[0,4,94],[0,5,18],[0,6,2],[1,3,90],[1,5,45],[1,6,48],[1,7,56],[2,3,27],[2,5,60],[2,7,23],[3,4,33],[3,5,65],[3,6,59],[4,6,86],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(0,5)=18,(2,7)=23,(2,3)=27,(3,4)=33,(1,5)=45,(1,6)=48,(1,7)=56,(3,6)=59,(2,5)=60,(3,5)=65,(4,6)=86,(6,7)=87,(0,1)=89,(1,3)=90,(0,2)=91,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 0, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=23 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 0, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=27 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 0, 7: 2}, Find(3)=2, Find(4)=4, Add (3,4)=33 Succeeded, w=103\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0, 6: 0, 7: 2}, Find(1)=1, Find(5)=0, Add (1,5)=45 Succeeded, w=148\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0, 6: 0, 7: 2}, Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=148\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0, 7: 2}, Find(1)=0, Find(7)=2, Add (1,7)=56 Succeeded, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(6)=0, Add (3,6)=59 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(5)=0, Add (2,5)=60 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(5)=0, Add (3,5)=65 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=87 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=89 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=204\",\"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)=91 Failed, w=204\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=204\"],\"Answer\":204}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,91],[0,2,8],[0,3,0],[1,2,58],[1,3,49],[2,3,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,8],[0,3,0],[1,2,58],[1,3,49],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,8],[0,3,0],[1,2,58],[1,3,49],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,8],[0,3,0],[1,2,58],[1,3,49],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (0,2)=8, w=8\",\"Add (1,3)=49, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,8],[0,3,0],[1,2,58],[1,3,49],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (0,2)=8 Succeeded, w=8\",\"Add (1,3)=49 Succeeded, w=57\",\"Add (1,2)=58 Failed, w=57\",\"Add (2,3)=69 Failed, w=57\",\"Add (0,1)=91 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,8],[0,3,0],[1,2,58],[1,3,49],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=8,(1,3)=49,(1,2)=58,(2,3)=69,(0,1)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=0, Add (1,3)=49 Succeeded, w=57\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=57\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=57\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,91],[0,2,8],[0,3,0],[1,2,58],[1,3,49],[2,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(0,2)=8,(1,3)=49,(1,2)=58,(2,3)=69,(0,1)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=49 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,24],[0,2,51],[1,2,17],[1,3,64],[2,3,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,51],[1,2,17],[1,3,64],[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\":[[0,1,24],[0,2,51],[1,2,17],[1,3,64],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,51],[1,2,17],[1,3,64],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10, w=10\",\"Add (1,2)=17, w=27\",\"Add (0,1)=24, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,51],[1,2,17],[1,3,64],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=10 Succeeded, w=10\",\"Add (1,2)=17 Succeeded, w=27\",\"Add (0,1)=24 Succeeded, w=51\",\"Add (0,2)=51 Failed, w=51\",\"Add (1,3)=64 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,51],[1,2,17],[1,3,64],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(1,2)=17,(0,1)=24,(0,2)=51,(1,3)=64]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=27\",\"Find(0)=0, Find(1)=2, Add (0,1)=24 Succeeded, w=51\",\"Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=51\",\"Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,24],[0,2,51],[1,2,17],[1,3,64],[2,3,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=10,(1,2)=17,(0,1)=24,(0,2)=51,(1,3)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=24 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=51 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=64 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,57],[0,3,75],[1,4,28],[2,3,97],[2,4,44],[3,4,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,57],[0,3,75],[1,4,28],[2,3,97],[2,4,44],[3,4,41]]}",
"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\":[[0,2,57],[0,3,75],[1,4,28],[2,3,97],[2,4,44],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,57],[0,3,75],[1,4,28],[2,3,97],[2,4,44],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=28, w=28\",\"Add (3,4)=41, w=69\",\"Add (2,4)=44, w=113\",\"Add (0,2)=57, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,57],[0,3,75],[1,4,28],[2,3,97],[2,4,44],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=28 Succeeded, w=28\",\"Add (3,4)=41 Succeeded, w=69\",\"Add (2,4)=44 Succeeded, w=113\",\"Add (0,2)=57 Succeeded, w=170\",\"Add (0,3)=75 Failed, w=170\",\"Add (2,3)=97 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\":[[0,2,57],[0,3,75],[1,4,28],[2,3,97],[2,4,44],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=28,(3,4)=41,(2,4)=44,(0,2)=57,(0,3)=75,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=28\",\"Find(3)=3, Find(4)=1, Add (3,4)=41 Succeeded, w=69\",\"Find(2)=2, Find(4)=1, Add (2,4)=44 Succeeded, w=113\",\"Find(0)=0, Find(2)=1, Add (0,2)=57 Succeeded, w=170\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=170\",\"Find(2)=1, Find(3)=1, Add (2,3)=97 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\":[[0,2,57],[0,3,75],[1,4,28],[2,3,97],[2,4,44],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=28,(3,4)=41,(2,4)=44,(0,2)=57,(0,3)=75,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=41 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=44 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=57 Succeeded, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=170\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=97 Failed, w=170\"],\"Answer\":170}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,60],[0,4,52],[1,2,30],[1,3,51],[1,4,65],[2,3,0],[2,4,53],[3,4,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,4,52],[1,2,30],[1,3,51],[1,4,65],[2,3,0],[2,4,53],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,4,52],[1,2,30],[1,3,51],[1,4,65],[2,3,0],[2,4,53],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,4,52],[1,2,30],[1,3,51],[1,4,65],[2,3,0],[2,4,53],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,2)=30, w=30\",\"Add (0,4)=52, w=82\",\"Add (2,4)=53, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,4,52],[1,2,30],[1,3,51],[1,4,65],[2,3,0],[2,4,53],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,2)=30 Succeeded, w=30\",\"Add (1,3)=51 Failed, w=30\",\"Add (0,4)=52 Succeeded, w=82\",\"Add (2,4)=53 Succeeded, w=135\",\"Add (3,4)=54 Failed, w=135\",\"Add (0,1)=60 Failed, w=135\",\"Add (1,4)=65 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,4,52],[1,2,30],[1,3,51],[1,4,65],[2,3,0],[2,4,53],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=30,(1,3)=51,(0,4)=52,(2,4)=53,(3,4)=54,(0,1)=60,(1,4)=65]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=30\",\"Find(0)=0, Find(4)=4, Add (0,4)=52 Succeeded, w=82\",\"Find(2)=2, Find(4)=0, Add (2,4)=53 Succeeded, w=135\",\"Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=135\",\"Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=135\",\"Find(1)=2, Find(4)=2, Add (1,4)=65 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,4,52],[1,2,30],[1,3,51],[1,4,65],[2,3,0],[2,4,53],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,2)=30,(1,3)=51,(0,4)=52,(2,4)=53,(3,4)=54,(0,1)=60,(1,4)=65]\",\"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: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=52 Succeeded, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=53 Succeeded, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=60 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=65 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,99],[1,2,19],[1,3,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[1,2,19],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[1,2,19],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[1,2,19],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19, w=19\",\"Add (1,3)=82, w=101\",\"Add (0,2)=99, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[1,2,19],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=19 Succeeded, w=19\",\"Add (1,3)=82 Succeeded, w=101\",\"Add (0,2)=99 Succeeded, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[1,2,19],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(1,3)=82,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=82 Succeeded, w=101\",\"Find(0)=0, Find(2)=1, Add (0,2)=99 Succeeded, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[1,2,19],[1,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=19,(1,3)=82,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=82 Succeeded, w=101\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=99 Succeeded, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,61],[0,3,80],[0,4,53],[1,3,57],[1,4,67],[2,3,39],[2,4,1],[3,4,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,61],[0,3,80],[0,4,53],[1,3,57],[1,4,67],[2,3,39],[2,4,1],[3,4,38]]}",
"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\":[[0,1,66],[0,2,61],[0,3,80],[0,4,53],[1,3,57],[1,4,67],[2,3,39],[2,4,1],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,61],[0,3,80],[0,4,53],[1,3,57],[1,4,67],[2,3,39],[2,4,1],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (3,4)=38, w=39\",\"Add (0,4)=53, w=92\",\"Add (1,3)=57, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,61],[0,3,80],[0,4,53],[1,3,57],[1,4,67],[2,3,39],[2,4,1],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (3,4)=38 Succeeded, w=39\",\"Add (2,3)=39 Failed, w=39\",\"Add (0,4)=53 Succeeded, w=92\",\"Add (1,3)=57 Succeeded, w=149\",\"Add (0,2)=61 Failed, w=149\",\"Add (0,1)=66 Failed, w=149\",\"Add (1,4)=67 Failed, w=149\",\"Add (0,3)=80 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\":[[0,1,66],[0,2,61],[0,3,80],[0,4,53],[1,3,57],[1,4,67],[2,3,39],[2,4,1],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(3,4)=38,(2,3)=39,(0,4)=53,(1,3)=57,(0,2)=61,(0,1)=66,(1,4)=67,(0,3)=80]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=2, Add (3,4)=38 Succeeded, w=39\",\"Find(2)=2, Find(3)=2, Add (2,3)=39 Failed, w=39\",\"Find(0)=0, Find(4)=2, Add (0,4)=53 Succeeded, w=92\",\"Find(1)=1, Find(3)=2, Add (1,3)=57 Succeeded, w=149\",\"Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=149\",\"Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=149\",\"Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=149\",\"Find(0)=2, Find(3)=2, Add (0,3)=80 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\":[[0,1,66],[0,2,61],[0,3,80],[0,4,53],[1,3,57],[1,4,67],[2,3,39],[2,4,1],[3,4,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(3,4)=38,(2,3)=39,(0,4)=53,(1,3)=57,(0,2)=61,(0,1)=66,(1,4)=67,(0,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=38 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=39 Failed, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=53 Succeeded, w=92\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(3)=2, Add (1,3)=57 Succeeded, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=61 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=67 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=80 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,69],[0,2,44],[0,3,19],[0,4,40],[0,5,35],[0,6,38],[0,7,50],[1,2,65],[1,3,60],[1,4,9],[1,5,46],[1,6,39],[1,7,65],[2,3,55],[2,4,53],[2,5,42],[2,6,84],[2,7,34],[3,4,32],[3,5,60],[3,6,8],[3,7,35],[4,5,55],[4,6,72],[4,7,32],[5,6,57],[5,7,24],[6,7,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,44],[0,3,19],[0,4,40],[0,5,35],[0,6,38],[0,7,50],[1,2,65],[1,3,60],[1,4,9],[1,5,46],[1,6,39],[1,7,65],[2,3,55],[2,4,53],[2,5,42],[2,6,84],[2,7,34],[3,4,32],[3,5,60],[3,6,8],[3,7,35],[4,5,55],[4,6,72],[4,7,32],[5,6,57],[5,7,24],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,44],[0,3,19],[0,4,40],[0,5,35],[0,6,38],[0,7,50],[1,2,65],[1,3,60],[1,4,9],[1,5,46],[1,6,39],[1,7,65],[2,3,55],[2,4,53],[2,5,42],[2,6,84],[2,7,34],[3,4,32],[3,5,60],[3,6,8],[3,7,35],[4,5,55],[4,6,72],[4,7,32],[5,6,57],[5,7,24],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (3,6)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (5,7)\",\"Add (3,4)\",\"Add (2,7)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,44],[0,3,19],[0,4,40],[0,5,35],[0,6,38],[0,7,50],[1,2,65],[1,3,60],[1,4,9],[1,5,46],[1,6,39],[1,7,65],[2,3,55],[2,4,53],[2,5,42],[2,6,84],[2,7,34],[3,4,32],[3,5,60],[3,6,8],[3,7,35],[4,5,55],[4,6,72],[4,7,32],[5,6,57],[5,7,24],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3, w=3\",\"Add (3,6)=8, w=11\",\"Add (1,4)=9, w=20\",\"Add (0,3)=19, w=39\",\"Add (5,7)=24, w=63\",\"Add (3,4)=32, w=95\",\"Add (2,7)=34, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,44],[0,3,19],[0,4,40],[0,5,35],[0,6,38],[0,7,50],[1,2,65],[1,3,60],[1,4,9],[1,5,46],[1,6,39],[1,7,65],[2,3,55],[2,4,53],[2,5,42],[2,6,84],[2,7,34],[3,4,32],[3,5,60],[3,6,8],[3,7,35],[4,5,55],[4,6,72],[4,7,32],[5,6,57],[5,7,24],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=3 Succeeded, w=3\",\"Add (3,6)=8 Succeeded, w=11\",\"Add (1,4)=9 Succeeded, w=20\",\"Add (0,3)=19 Succeeded, w=39\",\"Add (5,7)=24 Succeeded, w=63\",\"Add (3,4)=32 Succeeded, w=95\",\"Add (4,7)=32 Failed, w=95\",\"Add (2,7)=34 Succeeded, w=129\",\"Add (0,5)=35 Failed, w=129\",\"Add (3,7)=35 Failed, w=129\",\"Add (0,6)=38 Failed, w=129\",\"Add (1,6)=39 Failed, w=129\",\"Add (0,4)=40 Failed, w=129\",\"Add (2,5)=42 Failed, w=129\",\"Add (0,2)=44 Failed, w=129\",\"Add (1,5)=46 Failed, w=129\",\"Add (0,7)=50 Failed, w=129\",\"Add (2,4)=53 Failed, w=129\",\"Add (2,3)=55 Failed, w=129\",\"Add (4,5)=55 Failed, w=129\",\"Add (5,6)=57 Failed, w=129\",\"Add (1,3)=60 Failed, w=129\",\"Add (3,5)=60 Failed, w=129\",\"Add (1,2)=65 Failed, w=129\",\"Add (1,7)=65 Failed, w=129\",\"Add (0,1)=69 Failed, w=129\",\"Add (4,6)=72 Failed, w=129\",\"Add (2,6)=84 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,44],[0,3,19],[0,4,40],[0,5,35],[0,6,38],[0,7,50],[1,2,65],[1,3,60],[1,4,9],[1,5,46],[1,6,39],[1,7,65],[2,3,55],[2,4,53],[2,5,42],[2,6,84],[2,7,34],[3,4,32],[3,5,60],[3,6,8],[3,7,35],[4,5,55],[4,6,72],[4,7,32],[5,6,57],[5,7,24],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(3,6)=8,(1,4)=9,(0,3)=19,(5,7)=24,(3,4)=32,(4,7)=32,(2,7)=34,(0,5)=35,(3,7)=35,(0,6)=38,(1,6)=39,(0,4)=40,(2,5)=42,(0,2)=44,(1,5)=46,(0,7)=50,(2,4)=53,(2,3)=55,(4,5)=55,(5,6)=57,(1,3)=60,(3,5)=60,(1,2)=65,(1,7)=65,(0,1)=69,(4,6)=72,(2,6)=84]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=3\",\"Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=20\",\"Find(0)=0, Find(3)=6, Add (0,3)=19 Succeeded, w=39\",\"Find(5)=5, Find(7)=6, Add (5,7)=24 Succeeded, w=63\",\"Find(3)=6, Find(4)=1, Add (3,4)=32 Succeeded, w=95\",\"Find(4)=6, Find(7)=6, Add (4,7)=32 Failed, w=95\",\"Find(2)=2, Find(7)=6, Add (2,7)=34 Succeeded, w=129\",\"Find(0)=6, Find(5)=6, Add (0,5)=35 Failed, w=129\",\"Find(3)=6, Find(7)=6, Add (3,7)=35 Failed, w=129\",\"Find(0)=6, Find(6)=6, Add (0,6)=38 Failed, w=129\",\"Find(1)=6, Find(6)=6, Add (1,6)=39 Failed, w=129\",\"Find(0)=6, Find(4)=6, Add (0,4)=40 Failed, w=129\",\"Find(2)=6, Find(5)=6, Add (2,5)=42 Failed, w=129\",\"Find(0)=6, Find(2)=6, Add (0,2)=44 Failed, w=129\",\"Find(1)=6, Find(5)=6, Add (1,5)=46 Failed, w=129\",\"Find(0)=6, Find(7)=6, Add (0,7)=50 Failed, w=129\",\"Find(2)=6, Find(4)=6, Add (2,4)=53 Failed, w=129\",\"Find(2)=6, Find(3)=6, Add (2,3)=55 Failed, w=129\",\"Find(4)=6, Find(5)=6, Add (4,5)=55 Failed, w=129\",\"Find(5)=6, Find(6)=6, Add (5,6)=57 Failed, w=129\",\"Find(1)=6, Find(3)=6, Add (1,3)=60 Failed, w=129\",\"Find(3)=6, Find(5)=6, Add (3,5)=60 Failed, w=129\",\"Find(1)=6, Find(2)=6, Add (1,2)=65 Failed, w=129\",\"Find(1)=6, Find(7)=6, Add (1,7)=65 Failed, w=129\",\"Find(0)=6, Find(1)=6, Add (0,1)=69 Failed, w=129\",\"Find(4)=6, Find(6)=6, Add (4,6)=72 Failed, w=129\",\"Find(2)=6, Find(6)=6, Add (2,6)=84 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,44],[0,3,19],[0,4,40],[0,5,35],[0,6,38],[0,7,50],[1,2,65],[1,3,60],[1,4,9],[1,5,46],[1,6,39],[1,7,65],[2,3,55],[2,4,53],[2,5,42],[2,6,84],[2,7,34],[3,4,32],[3,5,60],[3,6,8],[3,7,35],[4,5,55],[4,6,72],[4,7,32],[5,6,57],[5,7,24],[6,7,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=3,(3,6)=8,(1,4)=9,(0,3)=19,(5,7)=24,(3,4)=32,(4,7)=32,(2,7)=34,(0,5)=35,(3,7)=35,(0,6)=38,(1,6)=39,(0,4)=40,(2,5)=42,(0,2)=44,(1,5)=46,(0,7)=50,(2,4)=53,(2,3)=55,(4,5)=55,(5,6)=57,(1,3)=60,(3,5)=60,(1,2)=65,(1,7)=65,(0,1)=69,(4,6)=72,(2,6)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 4, 5: 5, 6: 6, 7: 6}, Find(3)=3, Find(6)=6, Add (3,6)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 1, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=20\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 6, 4: 1, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(3)=6, Add (0,3)=19 Succeeded, w=39\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 6, 4: 1, 5: 6, 6: 6, 7: 6}, Find(5)=5, Find(7)=6, Add (5,7)=24 Succeeded, w=63\",\"Parent: {0: 6, 1: 6, 2: 2, 3: 6, 4: 1, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(4)=1, Add (3,4)=32 Succeeded, w=95\",\"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)=32 Failed, w=95\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=34 Succeeded, w=129\",\"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)=35 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(7)=6, Add (3,7)=35 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(6)=6, Add (0,6)=38 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(6)=6, Add (1,6)=39 Failed, w=129\",\"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)=40 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(5)=6, Add (2,5)=42 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(2)=6, Add (0,2)=44 Failed, w=129\",\"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)=46 Failed, w=129\",\"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)=50 Failed, w=129\",\"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)=53 Failed, w=129\",\"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)=55 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(5)=6, Add (4,5)=55 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(6)=6, Add (5,6)=57 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(3)=6, Add (1,3)=60 Failed, w=129\",\"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)=60 Failed, w=129\",\"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)=65 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(7)=6, Add (1,7)=65 Failed, w=129\",\"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)=69 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(6)=6, Add (4,6)=72 Failed, w=129\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(6)=6, Add (2,6)=84 Failed, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,64],[0,3,72],[0,4,19],[0,5,97],[1,2,33],[1,3,33],[1,4,29],[1,5,61],[2,3,47],[2,4,69],[2,5,80],[3,4,86],[3,5,62],[4,5,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,72],[0,4,19],[0,5,97],[1,2,33],[1,3,33],[1,4,29],[1,5,61],[2,3,47],[2,4,69],[2,5,80],[3,4,86],[3,5,62],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,72],[0,4,19],[0,5,97],[1,2,33],[1,3,33],[1,4,29],[1,5,61],[2,3,47],[2,4,69],[2,5,80],[3,4,86],[3,5,62],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (4,5)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,72],[0,4,19],[0,5,97],[1,2,33],[1,3,33],[1,4,29],[1,5,61],[2,3,47],[2,4,69],[2,5,80],[3,4,86],[3,5,62],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=19, w=19\",\"Add (1,4)=29, w=48\",\"Add (1,2)=33, w=81\",\"Add (1,3)=33, w=114\",\"Add (4,5)=52, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,72],[0,4,19],[0,5,97],[1,2,33],[1,3,33],[1,4,29],[1,5,61],[2,3,47],[2,4,69],[2,5,80],[3,4,86],[3,5,62],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=19 Succeeded, w=19\",\"Add (1,4)=29 Succeeded, w=48\",\"Add (1,2)=33 Succeeded, w=81\",\"Add (1,3)=33 Succeeded, w=114\",\"Add (2,3)=47 Failed, w=114\",\"Add (4,5)=52 Succeeded, w=166\",\"Add (1,5)=61 Failed, w=166\",\"Add (3,5)=62 Failed, w=166\",\"Add (0,2)=64 Failed, w=166\",\"Add (2,4)=69 Failed, w=166\",\"Add (0,3)=72 Failed, w=166\",\"Add (2,5)=80 Failed, w=166\",\"Add (3,4)=86 Failed, w=166\",\"Add (0,5)=97 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,72],[0,4,19],[0,5,97],[1,2,33],[1,3,33],[1,4,29],[1,5,61],[2,3,47],[2,4,69],[2,5,80],[3,4,86],[3,5,62],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=19,(1,4)=29,(1,2)=33,(1,3)=33,(2,3)=47,(4,5)=52,(1,5)=61,(3,5)=62,(0,2)=64,(2,4)=69,(0,3)=72,(2,5)=80,(3,4)=86,(0,5)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=19\",\"Find(1)=1, Find(4)=0, Add (1,4)=29 Succeeded, w=48\",\"Find(1)=0, Find(2)=2, Add (1,2)=33 Succeeded, w=81\",\"Find(1)=0, Find(3)=3, Add (1,3)=33 Succeeded, w=114\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=114\",\"Find(4)=0, Find(5)=5, Add (4,5)=52 Succeeded, w=166\",\"Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=166\",\"Find(3)=0, Find(5)=0, Add (3,5)=62 Failed, w=166\",\"Find(0)=0, Find(2)=0, Add (0,2)=64 Failed, w=166\",\"Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=166\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=166\",\"Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=166\",\"Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=166\",\"Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,64],[0,3,72],[0,4,19],[0,5,97],[1,2,33],[1,3,33],[1,4,29],[1,5,61],[2,3,47],[2,4,69],[2,5,80],[3,4,86],[3,5,62],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=19,(1,4)=29,(1,2)=33,(1,3)=33,(2,3)=47,(4,5)=52,(1,5)=61,(3,5)=62,(0,2)=64,(2,4)=69,(0,3)=72,(2,5)=80,(3,4)=86,(0,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=29 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(1)=0, Find(2)=2, Add (1,2)=33 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(3)=3, Add (1,3)=33 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=52 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=61 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=62 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=64 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=69 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=80 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=86 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,15],[0,2,74],[0,4,44],[2,3,67],[2,4,20],[3,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,74],[0,4,44],[2,3,67],[2,4,20],[3,4,18]]}",
"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\":[[0,1,15],[0,2,74],[0,4,44],[2,3,67],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,4)\",\"Add (2,4)\",\"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\":[[0,1,15],[0,2,74],[0,4,44],[2,3,67],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (3,4)=18, w=33\",\"Add (2,4)=20, w=53\",\"Add (0,4)=44, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,74],[0,4,44],[2,3,67],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (3,4)=18 Succeeded, w=33\",\"Add (2,4)=20 Succeeded, w=53\",\"Add (0,4)=44 Succeeded, w=97\",\"Add (2,3)=67 Failed, w=97\",\"Add (0,2)=74 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\":[[0,1,15],[0,2,74],[0,4,44],[2,3,67],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(3,4)=18,(2,4)=20,(0,4)=44,(2,3)=67,(0,2)=74]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=33\",\"Find(2)=2, Find(4)=3, Add (2,4)=20 Succeeded, w=53\",\"Find(0)=0, Find(4)=3, Add (0,4)=44 Succeeded, w=97\",\"Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=97\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 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\":[[0,1,15],[0,2,74],[0,4,44],[2,3,67],[2,4,20],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(3,4)=18,(2,4)=20,(0,4)=44,(2,3)=67,(0,2)=74]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=20 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=44 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=0, Find(3)=0, Add (2,3)=67 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,89],[0,2,74],[0,3,35],[0,4,17],[0,5,50],[0,6,22],[0,7,59],[1,2,27],[1,3,76],[1,4,50],[1,5,83],[1,6,3],[2,3,64],[2,4,14],[2,5,71],[2,6,52],[2,7,86],[3,4,57],[3,6,29],[3,7,40],[4,5,46],[4,6,49],[5,6,91],[5,7,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,74],[0,3,35],[0,4,17],[0,5,50],[0,6,22],[0,7,59],[1,2,27],[1,3,76],[1,4,50],[1,5,83],[1,6,3],[2,3,64],[2,4,14],[2,5,71],[2,6,52],[2,7,86],[3,4,57],[3,6,29],[3,7,40],[4,5,46],[4,6,49],[5,6,91],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,74],[0,3,35],[0,4,17],[0,5,50],[0,6,22],[0,7,59],[1,2,27],[1,3,76],[1,4,50],[1,5,83],[1,6,3],[2,3,64],[2,4,14],[2,5,71],[2,6,52],[2,7,86],[3,4,57],[3,6,29],[3,7,40],[4,5,46],[4,6,49],[5,6,91],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (3,6)\",\"Add (3,7)\",\"Add (4,5)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,74],[0,3,35],[0,4,17],[0,5,50],[0,6,22],[0,7,59],[1,2,27],[1,3,76],[1,4,50],[1,5,83],[1,6,3],[2,3,64],[2,4,14],[2,5,71],[2,6,52],[2,7,86],[3,4,57],[3,6,29],[3,7,40],[4,5,46],[4,6,49],[5,6,91],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=3, w=3\",\"Add (2,4)=14, w=17\",\"Add (0,4)=17, w=34\",\"Add (0,6)=22, w=56\",\"Add (3,6)=29, w=85\",\"Add (3,7)=40, w=125\",\"Add (4,5)=46, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,74],[0,3,35],[0,4,17],[0,5,50],[0,6,22],[0,7,59],[1,2,27],[1,3,76],[1,4,50],[1,5,83],[1,6,3],[2,3,64],[2,4,14],[2,5,71],[2,6,52],[2,7,86],[3,4,57],[3,6,29],[3,7,40],[4,5,46],[4,6,49],[5,6,91],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=3 Succeeded, w=3\",\"Add (2,4)=14 Succeeded, w=17\",\"Add (0,4)=17 Succeeded, w=34\",\"Add (0,6)=22 Succeeded, w=56\",\"Add (1,2)=27 Failed, w=56\",\"Add (3,6)=29 Succeeded, w=85\",\"Add (0,3)=35 Failed, w=85\",\"Add (3,7)=40 Succeeded, w=125\",\"Add (4,5)=46 Succeeded, w=171\",\"Add (4,6)=49 Failed, w=171\",\"Add (0,5)=50 Failed, w=171\",\"Add (1,4)=50 Failed, w=171\",\"Add (2,6)=52 Failed, w=171\",\"Add (5,7)=52 Failed, w=171\",\"Add (3,4)=57 Failed, w=171\",\"Add (0,7)=59 Failed, w=171\",\"Add (2,3)=64 Failed, w=171\",\"Add (2,5)=71 Failed, w=171\",\"Add (0,2)=74 Failed, w=171\",\"Add (1,3)=76 Failed, w=171\",\"Add (1,5)=83 Failed, w=171\",\"Add (2,7)=86 Failed, w=171\",\"Add (0,1)=89 Failed, w=171\",\"Add (5,6)=91 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,74],[0,3,35],[0,4,17],[0,5,50],[0,6,22],[0,7,59],[1,2,27],[1,3,76],[1,4,50],[1,5,83],[1,6,3],[2,3,64],[2,4,14],[2,5,71],[2,6,52],[2,7,86],[3,4,57],[3,6,29],[3,7,40],[4,5,46],[4,6,49],[5,6,91],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=3,(2,4)=14,(0,4)=17,(0,6)=22,(1,2)=27,(3,6)=29,(0,3)=35,(3,7)=40,(4,5)=46,(4,6)=49,(0,5)=50,(1,4)=50,(2,6)=52,(5,7)=52,(3,4)=57,(0,7)=59,(2,3)=64,(2,5)=71,(0,2)=74,(1,3)=76,(1,5)=83,(2,7)=86,(0,1)=89,(5,6)=91]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=17\",\"Find(0)=0, Find(4)=2, Add (0,4)=17 Succeeded, w=34\",\"Find(0)=2, Find(6)=1, Add (0,6)=22 Succeeded, w=56\",\"Find(1)=2, Find(2)=2, Add (1,2)=27 Failed, w=56\",\"Find(3)=3, Find(6)=2, Add (3,6)=29 Succeeded, w=85\",\"Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=85\",\"Find(3)=2, Find(7)=7, Add (3,7)=40 Succeeded, w=125\",\"Find(4)=2, Find(5)=5, Add (4,5)=46 Succeeded, w=171\",\"Find(4)=2, Find(6)=2, Add (4,6)=49 Failed, w=171\",\"Find(0)=2, Find(5)=2, Add (0,5)=50 Failed, w=171\",\"Find(1)=2, Find(4)=2, Add (1,4)=50 Failed, w=171\",\"Find(2)=2, Find(6)=2, Add (2,6)=52 Failed, w=171\",\"Find(5)=2, Find(7)=2, Add (5,7)=52 Failed, w=171\",\"Find(3)=2, Find(4)=2, Add (3,4)=57 Failed, w=171\",\"Find(0)=2, Find(7)=2, Add (0,7)=59 Failed, w=171\",\"Find(2)=2, Find(3)=2, Add (2,3)=64 Failed, w=171\",\"Find(2)=2, Find(5)=2, Add (2,5)=71 Failed, w=171\",\"Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=171\",\"Find(1)=2, Find(3)=2, Add (1,3)=76 Failed, w=171\",\"Find(1)=2, Find(5)=2, Add (1,5)=83 Failed, w=171\",\"Find(2)=2, Find(7)=2, Add (2,7)=86 Failed, w=171\",\"Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=171\",\"Find(5)=2, Find(6)=2, Add (5,6)=91 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,89],[0,2,74],[0,3,35],[0,4,17],[0,5,50],[0,6,22],[0,7,59],[1,2,27],[1,3,76],[1,4,50],[1,5,83],[1,6,3],[2,3,64],[2,4,14],[2,5,71],[2,6,52],[2,7,86],[3,4,57],[3,6,29],[3,7,40],[4,5,46],[4,6,49],[5,6,91],[5,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=3,(2,4)=14,(0,4)=17,(0,6)=22,(1,2)=27,(3,6)=29,(0,3)=35,(3,7)=40,(4,5)=46,(4,6)=49,(0,5)=50,(1,4)=50,(2,6)=52,(5,7)=52,(3,4)=57,(0,7)=59,(2,3)=64,(2,5)=71,(0,2)=74,(1,3)=76,(1,5)=83,(2,7)=86,(0,1)=89,(5,6)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=17 Succeeded, w=34\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1, 7: 7}, Find(0)=2, Find(6)=1, Add (0,6)=22 Succeeded, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5, 6: 1, 7: 7}, Find(1)=2, Find(2)=2, Add (1,2)=27 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 7}, Find(3)=3, Find(6)=2, Add (3,6)=29 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 7}, Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5, 6: 2, 7: 2}, Find(3)=2, Find(7)=7, Add (3,7)=40 Succeeded, w=125\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=5, Add (4,5)=46 Succeeded, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=49 Failed, w=171\",\"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)=50 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=50 Failed, w=171\",\"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)=52 Failed, w=171\",\"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)=52 Failed, w=171\",\"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)=57 Failed, w=171\",\"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)=59 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=64 Failed, w=171\",\"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)=71 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=171\",\"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)=76 Failed, w=171\",\"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)=83 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=86 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=89 Failed, w=171\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=91 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,54],[0,4,71],[1,2,16],[1,4,97],[2,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,54],[0,4,71],[1,2,16],[1,4,97],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,54],[0,4,71],[1,2,16],[1,4,97],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,54],[0,4,71],[1,2,16],[1,4,97],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (1,2)=16, w=22\",\"Add (0,3)=54, w=76\",\"Add (0,4)=71, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,54],[0,4,71],[1,2,16],[1,4,97],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (1,2)=16 Succeeded, w=22\",\"Add (0,3)=54 Succeeded, w=76\",\"Add (0,4)=71 Succeeded, w=147\",\"Add (1,4)=97 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,54],[0,4,71],[1,2,16],[1,4,97],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(1,2)=16,(0,3)=54,(0,4)=71,(1,4)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=22\",\"Find(0)=0, Find(3)=3, Add (0,3)=54 Succeeded, w=76\",\"Find(0)=0, Find(4)=2, Add (0,4)=71 Succeeded, w=147\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,54],[0,4,71],[1,2,16],[1,4,97],[2,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(1,2)=16,(0,3)=54,(0,4)=71,(1,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=22\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=54 Succeeded, w=76\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=71 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,94],[0,3,4],[0,4,46],[1,2,20],[1,3,17],[1,4,1],[2,3,53],[2,4,34],[3,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,3,4],[0,4,46],[1,2,20],[1,3,17],[1,4,1],[2,3,53],[2,4,34],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,3,4],[0,4,46],[1,2,20],[1,3,17],[1,4,1],[2,3,53],[2,4,34],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,3,4],[0,4,46],[1,2,20],[1,3,17],[1,4,1],[2,3,53],[2,4,34],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (0,3)=4, w=5\",\"Add (1,3)=17, w=22\",\"Add (1,2)=20, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,3,4],[0,4,46],[1,2,20],[1,3,17],[1,4,1],[2,3,53],[2,4,34],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (0,3)=4 Succeeded, w=5\",\"Add (1,3)=17 Succeeded, w=22\",\"Add (1,2)=20 Succeeded, w=42\",\"Add (2,4)=34 Failed, w=42\",\"Add (0,4)=46 Failed, w=42\",\"Add (2,3)=53 Failed, w=42\",\"Add (0,1)=94 Failed, w=42\",\"Add (3,4)=97 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,3,4],[0,4,46],[1,2,20],[1,3,17],[1,4,1],[2,3,53],[2,4,34],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(0,3)=4,(1,3)=17,(1,2)=20,(2,4)=34,(0,4)=46,(2,3)=53,(0,1)=94,(3,4)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=5\",\"Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=22\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=42\",\"Find(2)=1, Find(4)=1, Add (2,4)=34 Failed, w=42\",\"Find(0)=1, Find(4)=1, Add (0,4)=46 Failed, w=42\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=42\",\"Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=42\",\"Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,3,4],[0,4,46],[1,2,20],[1,3,17],[1,4,1],[2,3,53],[2,4,34],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(0,3)=4,(1,3)=17,(1,2)=20,(2,4)=34,(0,4)=46,(2,3)=53,(0,1)=94,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1}, Find(1)=1, Find(3)=0, Add (1,3)=17 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=34 Failed, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=46 Failed, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=97 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,25],[0,2,6],[0,3,36],[0,4,74],[0,5,42],[0,6,100],[1,2,47],[1,3,26],[1,4,17],[1,5,59],[1,6,70],[2,3,72],[2,4,31],[2,5,23],[2,6,1],[3,4,51],[3,5,100],[3,6,94],[4,5,5],[4,6,66],[5,6,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,6],[0,3,36],[0,4,74],[0,5,42],[0,6,100],[1,2,47],[1,3,26],[1,4,17],[1,5,59],[1,6,70],[2,3,72],[2,4,31],[2,5,23],[2,6,1],[3,4,51],[3,5,100],[3,6,94],[4,5,5],[4,6,66],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,6],[0,3,36],[0,4,74],[0,5,42],[0,6,100],[1,2,47],[1,3,26],[1,4,17],[1,5,59],[1,6,70],[2,3,72],[2,4,31],[2,5,23],[2,6,1],[3,4,51],[3,5,100],[3,6,94],[4,5,5],[4,6,66],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (2,5)\",\"Add (1,3)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,6],[0,3,36],[0,4,74],[0,5,42],[0,6,100],[1,2,47],[1,3,26],[1,4,17],[1,5,59],[1,6,70],[2,3,72],[2,4,31],[2,5,23],[2,6,1],[3,4,51],[3,5,100],[3,6,94],[4,5,5],[4,6,66],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (4,5)=5, w=6\",\"Add (0,2)=6, w=12\",\"Add (1,4)=17, w=29\",\"Add (2,5)=23, w=52\",\"Add (1,3)=26, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,6],[0,3,36],[0,4,74],[0,5,42],[0,6,100],[1,2,47],[1,3,26],[1,4,17],[1,5,59],[1,6,70],[2,3,72],[2,4,31],[2,5,23],[2,6,1],[3,4,51],[3,5,100],[3,6,94],[4,5,5],[4,6,66],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (4,5)=5 Succeeded, w=6\",\"Add (0,2)=6 Succeeded, w=12\",\"Add (1,4)=17 Succeeded, w=29\",\"Add (2,5)=23 Succeeded, w=52\",\"Add (0,1)=25 Failed, w=52\",\"Add (1,3)=26 Succeeded, w=78\",\"Add (2,4)=31 Failed, w=78\",\"Add (0,3)=36 Failed, w=78\",\"Add (0,5)=42 Failed, w=78\",\"Add (1,2)=47 Failed, w=78\",\"Add (3,4)=51 Failed, w=78\",\"Add (1,5)=59 Failed, w=78\",\"Add (5,6)=63 Failed, w=78\",\"Add (4,6)=66 Failed, w=78\",\"Add (1,6)=70 Failed, w=78\",\"Add (2,3)=72 Failed, w=78\",\"Add (0,4)=74 Failed, w=78\",\"Add (3,6)=94 Failed, w=78\",\"Add (0,6)=100 Failed, w=78\",\"Add (3,5)=100 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,6],[0,3,36],[0,4,74],[0,5,42],[0,6,100],[1,2,47],[1,3,26],[1,4,17],[1,5,59],[1,6,70],[2,3,72],[2,4,31],[2,5,23],[2,6,1],[3,4,51],[3,5,100],[3,6,94],[4,5,5],[4,6,66],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(4,5)=5,(0,2)=6,(1,4)=17,(2,5)=23,(0,1)=25,(1,3)=26,(2,4)=31,(0,3)=36,(0,5)=42,(1,2)=47,(3,4)=51,(1,5)=59,(5,6)=63,(4,6)=66,(1,6)=70,(2,3)=72,(0,4)=74,(3,6)=94,(0,6)=100,(3,5)=100]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=29\",\"Find(2)=2, Find(5)=4, Add (2,5)=23 Succeeded, w=52\",\"Find(0)=2, Find(1)=2, Add (0,1)=25 Failed, w=52\",\"Find(1)=2, Find(3)=3, Add (1,3)=26 Succeeded, w=78\",\"Find(2)=2, Find(4)=2, Add (2,4)=31 Failed, w=78\",\"Find(0)=2, Find(3)=2, Add (0,3)=36 Failed, w=78\",\"Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=78\",\"Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=78\",\"Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=78\",\"Find(1)=2, Find(5)=2, Add (1,5)=59 Failed, w=78\",\"Find(5)=2, Find(6)=2, Add (5,6)=63 Failed, w=78\",\"Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=78\",\"Find(1)=2, Find(6)=2, Add (1,6)=70 Failed, w=78\",\"Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=78\",\"Find(0)=2, Find(4)=2, Add (0,4)=74 Failed, w=78\",\"Find(3)=2, Find(6)=2, Add (3,6)=94 Failed, w=78\",\"Find(0)=2, Find(6)=2, Add (0,6)=100 Failed, w=78\",\"Find(3)=2, Find(5)=2, Add (3,5)=100 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,25],[0,2,6],[0,3,36],[0,4,74],[0,5,42],[0,6,100],[1,2,47],[1,3,26],[1,4,17],[1,5,59],[1,6,70],[2,3,72],[2,4,31],[2,5,23],[2,6,1],[3,4,51],[3,5,100],[3,6,94],[4,5,5],[4,6,66],[5,6,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(4,5)=5,(0,2)=6,(1,4)=17,(2,5)=23,(0,1)=25,(1,3)=26,(2,4)=31,(0,3)=36,(0,5)=42,(1,2)=47,(3,4)=51,(1,5)=59,(5,6)=63,(4,6)=66,(1,6)=70,(2,3)=72,(0,4)=74,(3,6)=94,(0,6)=100,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=6\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=12\",\"Parent: {0: 2, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=29\",\"Parent: {0: 2, 1: 4, 2: 2, 3: 3, 4: 2, 5: 4, 6: 2}, Find(2)=2, Find(5)=4, Add (2,5)=23 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 4, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=25 Failed, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(1)=2, Find(3)=3, Add (1,3)=26 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=31 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=36 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=42 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=47 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=51 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=59 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=63 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=66 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=70 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=74 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=94 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=100 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=100 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,73],[0,2,24],[0,3,9],[0,4,29],[0,6,52],[1,2,76],[1,3,85],[1,4,22],[1,5,27],[1,6,20],[1,7,100],[2,3,17],[2,6,14],[2,7,24],[3,4,95],[3,5,79],[3,7,25],[4,5,58],[4,7,18],[5,7,21],[6,7,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,24],[0,3,9],[0,4,29],[0,6,52],[1,2,76],[1,3,85],[1,4,22],[1,5,27],[1,6,20],[1,7,100],[2,3,17],[2,6,14],[2,7,24],[3,4,95],[3,5,79],[3,7,25],[4,5,58],[4,7,18],[5,7,21],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,24],[0,3,9],[0,4,29],[0,6,52],[1,2,76],[1,3,85],[1,4,22],[1,5,27],[1,6,20],[1,7,100],[2,3,17],[2,6,14],[2,7,24],[3,4,95],[3,5,79],[3,7,25],[4,5,58],[4,7,18],[5,7,21],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,6)\",\"Add (2,3)\",\"Add (4,7)\",\"Add (1,6)\",\"Add (5,7)\",\"Add (1,4)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,24],[0,3,9],[0,4,29],[0,6,52],[1,2,76],[1,3,85],[1,4,22],[1,5,27],[1,6,20],[1,7,100],[2,3,17],[2,6,14],[2,7,24],[3,4,95],[3,5,79],[3,7,25],[4,5,58],[4,7,18],[5,7,21],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (2,6)=14, w=23\",\"Add (2,3)=17, w=40\",\"Add (4,7)=18, w=58\",\"Add (1,6)=20, w=78\",\"Add (5,7)=21, w=99\",\"Add (1,4)=22, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,24],[0,3,9],[0,4,29],[0,6,52],[1,2,76],[1,3,85],[1,4,22],[1,5,27],[1,6,20],[1,7,100],[2,3,17],[2,6,14],[2,7,24],[3,4,95],[3,5,79],[3,7,25],[4,5,58],[4,7,18],[5,7,21],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (2,6)=14 Succeeded, w=23\",\"Add (2,3)=17 Succeeded, w=40\",\"Add (4,7)=18 Succeeded, w=58\",\"Add (1,6)=20 Succeeded, w=78\",\"Add (5,7)=21 Succeeded, w=99\",\"Add (1,4)=22 Succeeded, w=121\",\"Add (0,2)=24 Failed, w=121\",\"Add (2,7)=24 Failed, w=121\",\"Add (3,7)=25 Failed, w=121\",\"Add (1,5)=27 Failed, w=121\",\"Add (0,4)=29 Failed, w=121\",\"Add (0,6)=52 Failed, w=121\",\"Add (4,5)=58 Failed, w=121\",\"Add (6,7)=61 Failed, w=121\",\"Add (0,1)=73 Failed, w=121\",\"Add (1,2)=76 Failed, w=121\",\"Add (3,5)=79 Failed, w=121\",\"Add (1,3)=85 Failed, w=121\",\"Add (3,4)=95 Failed, w=121\",\"Add (1,7)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,24],[0,3,9],[0,4,29],[0,6,52],[1,2,76],[1,3,85],[1,4,22],[1,5,27],[1,6,20],[1,7,100],[2,3,17],[2,6,14],[2,7,24],[3,4,95],[3,5,79],[3,7,25],[4,5,58],[4,7,18],[5,7,21],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(2,6)=14,(2,3)=17,(4,7)=18,(1,6)=20,(5,7)=21,(1,4)=22,(0,2)=24,(2,7)=24,(3,7)=25,(1,5)=27,(0,4)=29,(0,6)=52,(4,5)=58,(6,7)=61,(0,1)=73,(1,2)=76,(3,5)=79,(1,3)=85,(3,4)=95,(1,7)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(2)=2, Find(6)=6, Add (2,6)=14 Succeeded, w=23\",\"Find(2)=2, Find(3)=0, Add (2,3)=17 Succeeded, w=40\",\"Find(4)=4, Find(7)=7, Add (4,7)=18 Succeeded, w=58\",\"Find(1)=1, Find(6)=2, Add (1,6)=20 Succeeded, w=78\",\"Find(5)=5, Find(7)=4, Add (5,7)=21 Succeeded, w=99\",\"Find(1)=2, Find(4)=4, Add (1,4)=22 Succeeded, w=121\",\"Find(0)=2, Find(2)=2, Add (0,2)=24 Failed, w=121\",\"Find(2)=2, Find(7)=2, Add (2,7)=24 Failed, w=121\",\"Find(3)=2, Find(7)=2, Add (3,7)=25 Failed, w=121\",\"Find(1)=2, Find(5)=2, Add (1,5)=27 Failed, w=121\",\"Find(0)=2, Find(4)=2, Add (0,4)=29 Failed, w=121\",\"Find(0)=2, Find(6)=2, Add (0,6)=52 Failed, w=121\",\"Find(4)=2, Find(5)=2, Add (4,5)=58 Failed, w=121\",\"Find(6)=2, Find(7)=2, Add (6,7)=61 Failed, w=121\",\"Find(0)=2, Find(1)=2, Add (0,1)=73 Failed, w=121\",\"Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=121\",\"Find(3)=2, Find(5)=2, Add (3,5)=79 Failed, w=121\",\"Find(1)=2, Find(3)=2, Add (1,3)=85 Failed, w=121\",\"Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=121\",\"Find(1)=2, Find(7)=2, Add (1,7)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,73],[0,2,24],[0,3,9],[0,4,29],[0,6,52],[1,2,76],[1,3,85],[1,4,22],[1,5,27],[1,6,20],[1,7,100],[2,3,17],[2,6,14],[2,7,24],[3,4,95],[3,5,79],[3,7,25],[4,5,58],[4,7,18],[5,7,21],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(2,6)=14,(2,3)=17,(4,7)=18,(1,6)=20,(5,7)=21,(1,4)=22,(0,2)=24,(2,7)=24,(3,7)=25,(1,5)=27,(0,4)=29,(0,6)=52,(4,5)=58,(6,7)=61,(0,1)=73,(1,2)=76,(3,5)=79,(1,3)=85,(3,4)=95,(1,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=14 Succeeded, w=23\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(3)=0, Add (2,3)=17 Succeeded, w=40\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=18 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 4}, Find(1)=1, Find(6)=2, Add (1,6)=20 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 4, 5: 4, 6: 2, 7: 4}, Find(5)=5, Find(7)=4, Add (5,7)=21 Succeeded, w=99\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 4, 6: 2, 7: 4}, Find(1)=2, Find(4)=4, Add (1,4)=22 Succeeded, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 4, 6: 2, 7: 4}, Find(0)=2, Find(2)=2, Add (0,2)=24 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2, 5: 4, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=24 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 4, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=25 Failed, w=121\",\"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)=27 Failed, w=121\",\"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)=29 Failed, w=121\",\"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)=52 Failed, w=121\",\"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)=58 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=61 Failed, w=121\",\"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)=73 Failed, w=121\",\"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)=76 Failed, w=121\",\"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)=79 Failed, w=121\",\"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)=85 Failed, w=121\",\"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)=95 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,71],[0,2,15],[0,4,26],[1,2,48],[1,3,71],[1,5,18],[2,3,26],[2,4,33],[2,5,22],[3,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,15],[0,4,26],[1,2,48],[1,3,71],[1,5,18],[2,3,26],[2,4,33],[2,5,22],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,15],[0,4,26],[1,2,48],[1,3,71],[1,5,18],[2,3,26],[2,4,33],[2,5,22],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (0,4)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,15],[0,4,26],[1,2,48],[1,3,71],[1,5,18],[2,3,26],[2,4,33],[2,5,22],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (0,2)=15, w=21\",\"Add (1,5)=18, w=39\",\"Add (2,5)=22, w=61\",\"Add (0,4)=26, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,15],[0,4,26],[1,2,48],[1,3,71],[1,5,18],[2,3,26],[2,4,33],[2,5,22],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (0,2)=15 Succeeded, w=21\",\"Add (1,5)=18 Succeeded, w=39\",\"Add (2,5)=22 Succeeded, w=61\",\"Add (0,4)=26 Succeeded, w=87\",\"Add (2,3)=26 Failed, w=87\",\"Add (2,4)=33 Failed, w=87\",\"Add (1,2)=48 Failed, w=87\",\"Add (0,1)=71 Failed, w=87\",\"Add (1,3)=71 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,15],[0,4,26],[1,2,48],[1,3,71],[1,5,18],[2,3,26],[2,4,33],[2,5,22],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(0,2)=15,(1,5)=18,(2,5)=22,(0,4)=26,(2,3)=26,(2,4)=33,(1,2)=48,(0,1)=71,(1,3)=71]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=21\",\"Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=39\",\"Find(2)=0, Find(5)=1, Add (2,5)=22 Succeeded, w=61\",\"Find(0)=0, Find(4)=3, Add (0,4)=26 Succeeded, w=87\",\"Find(2)=0, Find(3)=0, Add (2,3)=26 Failed, w=87\",\"Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=87\",\"Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=87\",\"Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=87\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,71],[0,2,15],[0,4,26],[1,2,48],[1,3,71],[1,5,18],[2,3,26],[2,4,33],[2,5,22],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(0,2)=15,(1,5)=18,(2,5)=22,(0,4)=26,(2,3)=26,(2,4)=33,(1,2)=48,(0,1)=71,(1,3)=71]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=18 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 1}, Find(2)=0, Find(5)=1, Add (2,5)=22 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 1}, Find(0)=0, Find(4)=3, Add (0,4)=26 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=26 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(2)=0, Find(4)=0, Add (2,4)=33 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(1)=0, Find(2)=0, Add (1,2)=48 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
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