graph
stringlengths 50
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| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
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| messages_l4
listlengths 2
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| messages_l5
listlengths 2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,69],[0,4,69],[0,5,80],[1,2,31],[1,3,37],[1,4,26],[1,5,10],[1,6,97],[2,5,95],[3,6,27],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,69],[0,4,69],[0,5,80],[1,2,31],[1,3,37],[1,4,26],[1,5,10],[1,6,97],[2,5,95],[3,6,27],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,69],[0,4,69],[0,5,80],[1,2,31],[1,3,37],[1,4,26],[1,5,10],[1,6,97],[2,5,95],[3,6,27],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,69],[0,4,69],[0,5,80],[1,2,31],[1,3,37],[1,4,26],[1,5,10],[1,6,97],[2,5,95],[3,6,27],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8, w=8\",\"Add (1,5)=10, w=18\",\"Add (3,6)=27, w=45\",\"Add (1,2)=31, w=76\",\"Add (1,3)=37, w=113\",\"Add (0,3)=69, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,69],[0,4,69],[0,5,80],[1,2,31],[1,3,37],[1,4,26],[1,5,10],[1,6,97],[2,5,95],[3,6,27],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=8 Succeeded, w=8\",\"Add (1,5)=10 Succeeded, w=18\",\"Add (1,4)=26 Failed, w=18\",\"Add (3,6)=27 Succeeded, w=45\",\"Add (1,2)=31 Succeeded, w=76\",\"Add (1,3)=37 Succeeded, w=113\",\"Add (0,3)=69 Succeeded, w=182\",\"Add (0,4)=69 Failed, w=182\",\"Add (0,5)=80 Failed, w=182\",\"Add (2,5)=95 Failed, w=182\",\"Add (1,6)=97 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,69],[0,4,69],[0,5,80],[1,2,31],[1,3,37],[1,4,26],[1,5,10],[1,6,97],[2,5,95],[3,6,27],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(1,5)=10,(1,4)=26,(3,6)=27,(1,2)=31,(1,3)=37,(0,3)=69,(0,4)=69,(0,5)=80,(2,5)=95,(1,6)=97]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=8\",\"Find(1)=1, Find(5)=4, Add (1,5)=10 Succeeded, w=18\",\"Find(1)=4, Find(4)=4, Add (1,4)=26 Failed, w=18\",\"Find(3)=3, Find(6)=6, Add (3,6)=27 Succeeded, w=45\",\"Find(1)=4, Find(2)=2, Add (1,2)=31 Succeeded, w=76\",\"Find(1)=4, Find(3)=3, Add (1,3)=37 Succeeded, w=113\",\"Find(0)=0, Find(3)=4, Add (0,3)=69 Succeeded, w=182\",\"Find(0)=4, Find(4)=4, Add (0,4)=69 Failed, w=182\",\"Find(0)=4, Find(5)=4, Add (0,5)=80 Failed, w=182\",\"Find(2)=4, Find(5)=4, Add (2,5)=95 Failed, w=182\",\"Find(1)=4, Find(6)=4, Add (1,6)=97 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,69],[0,4,69],[0,5,80],[1,2,31],[1,3,37],[1,4,26],[1,5,10],[1,6,97],[2,5,95],[3,6,27],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=8,(1,5)=10,(1,4)=26,(3,6)=27,(1,2)=31,(1,3)=37,(0,3)=69,(0,4)=69,(0,5)=80,(2,5)=95,(1,6)=97]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(5)=4, Add (1,5)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=4, Find(4)=4, Add (1,4)=26 Failed, w=18\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=27 Succeeded, w=45\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3, 7: 7}, Find(1)=4, Find(2)=2, Add (1,2)=31 Succeeded, w=76\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 7}, Find(1)=4, Find(3)=3, Add (1,3)=37 Succeeded, w=113\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 7}, Find(0)=0, Find(3)=4, Add (0,3)=69 Succeeded, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 7}, Find(0)=4, Find(4)=4, Add (0,4)=69 Failed, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 7}, Find(0)=4, Find(5)=4, Add (0,5)=80 Failed, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 3, 7: 7}, Find(2)=4, Find(5)=4, Add (2,5)=95 Failed, w=182\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(1)=4, Find(6)=4, Add (1,6)=97 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,82],[0,2,10],[0,3,42],[0,4,26],[0,5,32],[0,6,33],[1,2,24],[1,3,45],[1,4,15],[1,5,8],[2,4,98],[2,5,68],[3,4,3],[3,6,17],[4,5,51],[4,6,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,10],[0,3,42],[0,4,26],[0,5,32],[0,6,33],[1,2,24],[1,3,45],[1,4,15],[1,5,8],[2,4,98],[2,5,68],[3,4,3],[3,6,17],[4,5,51],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,10],[0,3,42],[0,4,26],[0,5,32],[0,6,33],[1,2,24],[1,3,45],[1,4,15],[1,5,8],[2,4,98],[2,5,68],[3,4,3],[3,6,17],[4,5,51],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (1,2)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,10],[0,3,42],[0,4,26],[0,5,32],[0,6,33],[1,2,24],[1,3,45],[1,4,15],[1,5,8],[2,4,98],[2,5,68],[3,4,3],[3,6,17],[4,5,51],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (1,5)=8, w=11\",\"Add (0,2)=10, w=21\",\"Add (1,4)=15, w=36\",\"Add (3,6)=17, w=53\",\"Add (1,2)=24, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,10],[0,3,42],[0,4,26],[0,5,32],[0,6,33],[1,2,24],[1,3,45],[1,4,15],[1,5,8],[2,4,98],[2,5,68],[3,4,3],[3,6,17],[4,5,51],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (1,5)=8 Succeeded, w=11\",\"Add (0,2)=10 Succeeded, w=21\",\"Add (1,4)=15 Succeeded, w=36\",\"Add (3,6)=17 Succeeded, w=53\",\"Add (1,2)=24 Succeeded, w=77\",\"Add (0,4)=26 Failed, w=77\",\"Add (0,5)=32 Failed, w=77\",\"Add (0,6)=33 Failed, w=77\",\"Add (4,6)=36 Failed, w=77\",\"Add (0,3)=42 Failed, w=77\",\"Add (1,3)=45 Failed, w=77\",\"Add (4,5)=51 Failed, w=77\",\"Add (2,5)=68 Failed, w=77\",\"Add (0,1)=82 Failed, w=77\",\"Add (2,4)=98 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,10],[0,3,42],[0,4,26],[0,5,32],[0,6,33],[1,2,24],[1,3,45],[1,4,15],[1,5,8],[2,4,98],[2,5,68],[3,4,3],[3,6,17],[4,5,51],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(1,5)=8,(0,2)=10,(1,4)=15,(3,6)=17,(1,2)=24,(0,4)=26,(0,5)=32,(0,6)=33,(4,6)=36,(0,3)=42,(1,3)=45,(4,5)=51,(2,5)=68,(0,1)=82,(2,4)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=21\",\"Find(1)=1, Find(4)=3, Add (1,4)=15 Succeeded, w=36\",\"Find(3)=1, Find(6)=6, Add (3,6)=17 Succeeded, w=53\",\"Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=77\",\"Find(0)=1, Find(4)=1, Add (0,4)=26 Failed, w=77\",\"Find(0)=1, Find(5)=1, Add (0,5)=32 Failed, w=77\",\"Find(0)=1, Find(6)=1, Add (0,6)=33 Failed, w=77\",\"Find(4)=1, Find(6)=1, Add (4,6)=36 Failed, w=77\",\"Find(0)=1, Find(3)=1, Add (0,3)=42 Failed, w=77\",\"Find(1)=1, Find(3)=1, Add (1,3)=45 Failed, w=77\",\"Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=77\",\"Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=77\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=77\",\"Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,82],[0,2,10],[0,3,42],[0,4,26],[0,5,32],[0,6,33],[1,2,24],[1,3,45],[1,4,15],[1,5,8],[2,4,98],[2,5,68],[3,4,3],[3,6,17],[4,5,51],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(1,5)=8,(0,2)=10,(1,4)=15,(3,6)=17,(1,2)=24,(0,4)=26,(0,5)=32,(0,6)=33,(4,6)=36,(0,3)=42,(1,3)=45,(4,5)=51,(2,5)=68,(0,1)=82,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 1, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 3, 5: 1, 6: 6}, Find(1)=1, Find(4)=3, Add (1,4)=15 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 3, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=17 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 3, 5: 1, 6: 1}, Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=26 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=32 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=33 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=36 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=42 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=45 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=51 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,59],[0,2,80],[0,3,39],[0,4,26],[0,5,80],[1,2,80],[1,4,2],[1,5,35],[2,3,92],[2,4,21],[2,5,92],[3,4,44],[3,5,6],[4,5,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,80],[0,3,39],[0,4,26],[0,5,80],[1,2,80],[1,4,2],[1,5,35],[2,3,92],[2,4,21],[2,5,92],[3,4,44],[3,5,6],[4,5,62]]}",
"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\":[[0,1,59],[0,2,80],[0,3,39],[0,4,26],[0,5,80],[1,2,80],[1,4,2],[1,5,35],[2,3,92],[2,4,21],[2,5,92],[3,4,44],[3,5,6],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,80],[0,3,39],[0,4,26],[0,5,80],[1,2,80],[1,4,2],[1,5,35],[2,3,92],[2,4,21],[2,5,92],[3,4,44],[3,5,6],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (3,5)=6, w=8\",\"Add (2,4)=21, w=29\",\"Add (0,4)=26, w=55\",\"Add (1,5)=35, 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\":[[0,1,59],[0,2,80],[0,3,39],[0,4,26],[0,5,80],[1,2,80],[1,4,2],[1,5,35],[2,3,92],[2,4,21],[2,5,92],[3,4,44],[3,5,6],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (3,5)=6 Succeeded, w=8\",\"Add (2,4)=21 Succeeded, w=29\",\"Add (0,4)=26 Succeeded, w=55\",\"Add (1,5)=35 Succeeded, w=90\",\"Add (0,3)=39 Failed, w=90\",\"Add (3,4)=44 Failed, w=90\",\"Add (0,1)=59 Failed, w=90\",\"Add (4,5)=62 Failed, w=90\",\"Add (0,2)=80 Failed, w=90\",\"Add (0,5)=80 Failed, w=90\",\"Add (1,2)=80 Failed, w=90\",\"Add (2,3)=92 Failed, w=90\",\"Add (2,5)=92 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\":[[0,1,59],[0,2,80],[0,3,39],[0,4,26],[0,5,80],[1,2,80],[1,4,2],[1,5,35],[2,3,92],[2,4,21],[2,5,92],[3,4,44],[3,5,6],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,5)=6,(2,4)=21,(0,4)=26,(1,5)=35,(0,3)=39,(3,4)=44,(0,1)=59,(4,5)=62,(0,2)=80,(0,5)=80,(1,2)=80,(2,3)=92,(2,5)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=8\",\"Find(2)=2, Find(4)=1, Add (2,4)=21 Succeeded, w=29\",\"Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=55\",\"Find(1)=1, Find(5)=3, Add (1,5)=35 Succeeded, w=90\",\"Find(0)=1, Find(3)=1, Add (0,3)=39 Failed, w=90\",\"Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=90\",\"Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=90\",\"Find(4)=1, Find(5)=1, Add (4,5)=62 Failed, w=90\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=90\",\"Find(0)=1, Find(5)=1, Add (0,5)=80 Failed, w=90\",\"Find(1)=1, Find(2)=1, Add (1,2)=80 Failed, w=90\",\"Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=90\",\"Find(2)=1, Find(5)=1, Add (2,5)=92 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\":[[0,1,59],[0,2,80],[0,3,39],[0,4,26],[0,5,80],[1,2,80],[1,4,2],[1,5,35],[2,3,92],[2,4,21],[2,5,92],[3,4,44],[3,5,6],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,5)=6,(2,4)=21,(0,4)=26,(1,5)=35,(0,3)=39,(3,4)=44,(0,1)=59,(4,5)=62,(0,2)=80,(0,5)=80,(1,2)=80,(2,3)=92,(2,5)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3}, Find(2)=2, Find(4)=1, Add (2,4)=21 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3}, Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=35 Succeeded, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(3)=1, Add (0,3)=39 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(3)=1, Find(4)=1, Add (3,4)=44 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=62 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)=80 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=80 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)=80 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=92 Failed, w=90\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=92 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,34],[0,2,96],[0,3,85],[0,4,93],[0,5,26],[1,2,14],[1,3,20],[1,5,100],[2,3,13],[2,4,72],[2,5,59],[3,4,17],[3,5,98],[4,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,96],[0,3,85],[0,4,93],[0,5,26],[1,2,14],[1,3,20],[1,5,100],[2,3,13],[2,4,72],[2,5,59],[3,4,17],[3,5,98],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,96],[0,3,85],[0,4,93],[0,5,26],[1,2,14],[1,3,20],[1,5,100],[2,3,13],[2,4,72],[2,5,59],[3,4,17],[3,5,98],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (0,1)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,96],[0,3,85],[0,4,93],[0,5,26],[1,2,14],[1,3,20],[1,5,100],[2,3,13],[2,4,72],[2,5,59],[3,4,17],[3,5,98],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13, w=13\",\"Add (1,2)=14, w=27\",\"Add (3,4)=17, w=44\",\"Add (0,5)=26, w=70\",\"Add (0,1)=34, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,96],[0,3,85],[0,4,93],[0,5,26],[1,2,14],[1,3,20],[1,5,100],[2,3,13],[2,4,72],[2,5,59],[3,4,17],[3,5,98],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=13 Succeeded, w=13\",\"Add (1,2)=14 Succeeded, w=27\",\"Add (3,4)=17 Succeeded, w=44\",\"Add (1,3)=20 Failed, w=44\",\"Add (0,5)=26 Succeeded, w=70\",\"Add (0,1)=34 Succeeded, w=104\",\"Add (2,5)=59 Failed, w=104\",\"Add (2,4)=72 Failed, w=104\",\"Add (0,3)=85 Failed, w=104\",\"Add (0,4)=93 Failed, w=104\",\"Add (0,2)=96 Failed, w=104\",\"Add (4,5)=96 Failed, w=104\",\"Add (3,5)=98 Failed, w=104\",\"Add (1,5)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,96],[0,3,85],[0,4,93],[0,5,26],[1,2,14],[1,3,20],[1,5,100],[2,3,13],[2,4,72],[2,5,59],[3,4,17],[3,5,98],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,2)=14,(3,4)=17,(1,3)=20,(0,5)=26,(0,1)=34,(2,5)=59,(2,4)=72,(0,3)=85,(0,4)=93,(0,2)=96,(4,5)=96,(3,5)=98,(1,5)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=27\",\"Find(3)=2, Find(4)=4, Add (3,4)=17 Succeeded, w=44\",\"Find(1)=2, Find(3)=2, Add (1,3)=20 Failed, w=44\",\"Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=70\",\"Find(0)=0, Find(1)=2, Add (0,1)=34 Succeeded, w=104\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=104\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=104\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=104\",\"Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=104\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=104\",\"Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=104\",\"Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=104\",\"Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,34],[0,2,96],[0,3,85],[0,4,93],[0,5,26],[1,2,14],[1,3,20],[1,5,100],[2,3,13],[2,4,72],[2,5,59],[3,4,17],[3,5,98],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=13,(1,2)=14,(3,4)=17,(1,3)=20,(0,5)=26,(0,1)=34,(2,5)=59,(2,4)=72,(0,3)=85,(0,4)=93,(0,2)=96,(4,5)=96,(3,5)=98,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=2, Find(4)=4, Add (3,4)=17 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 5}, Find(1)=2, Find(3)=2, Add (1,3)=20 Failed, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=70\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 2, 5: 0}, Find(0)=0, Find(1)=2, Add (0,1)=34 Succeeded, w=104\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 2, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=104\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 2, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=104\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=104\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=93 Failed, w=104\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=104\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=96 Failed, w=104\",\"Parent: {0: 0, 1: 2, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,74],[0,2,35],[0,5,22],[0,6,89],[1,3,21],[1,4,4],[1,5,95],[1,6,80],[2,4,4],[2,5,73],[2,6,19],[3,6,65],[5,6,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,35],[0,5,22],[0,6,89],[1,3,21],[1,4,4],[1,5,95],[1,6,80],[2,4,4],[2,5,73],[2,6,19],[3,6,65],[5,6,78]]}",
"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\":[[0,1,74],[0,2,35],[0,5,22],[0,6,89],[1,3,21],[1,4,4],[1,5,95],[1,6,80],[2,4,4],[2,5,73],[2,6,19],[3,6,65],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (2,6)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (0,2)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,74],[0,2,35],[0,5,22],[0,6,89],[1,3,21],[1,4,4],[1,5,95],[1,6,80],[2,4,4],[2,5,73],[2,6,19],[3,6,65],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (2,4)=4, w=8\",\"Add (2,6)=19, w=27\",\"Add (1,3)=21, w=48\",\"Add (0,5)=22, w=70\",\"Add (0,2)=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\":[[0,1,74],[0,2,35],[0,5,22],[0,6,89],[1,3,21],[1,4,4],[1,5,95],[1,6,80],[2,4,4],[2,5,73],[2,6,19],[3,6,65],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (2,4)=4 Succeeded, w=8\",\"Add (2,6)=19 Succeeded, w=27\",\"Add (1,3)=21 Succeeded, w=48\",\"Add (0,5)=22 Succeeded, w=70\",\"Add (0,2)=35 Succeeded, w=105\",\"Add (3,6)=65 Failed, w=105\",\"Add (2,5)=73 Failed, w=105\",\"Add (0,1)=74 Failed, w=105\",\"Add (5,6)=78 Failed, w=105\",\"Add (1,6)=80 Failed, w=105\",\"Add (0,6)=89 Failed, w=105\",\"Add (1,5)=95 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\":[[0,1,74],[0,2,35],[0,5,22],[0,6,89],[1,3,21],[1,4,4],[1,5,95],[1,6,80],[2,4,4],[2,5,73],[2,6,19],[3,6,65],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(2,4)=4,(2,6)=19,(1,3)=21,(0,5)=22,(0,2)=35,(3,6)=65,(2,5)=73,(0,1)=74,(5,6)=78,(1,6)=80,(0,6)=89,(1,5)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=1, Add (2,4)=4 Succeeded, w=8\",\"Find(2)=1, Find(6)=6, Add (2,6)=19 Succeeded, w=27\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=48\",\"Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=70\",\"Find(0)=0, Find(2)=1, Add (0,2)=35 Succeeded, w=105\",\"Find(3)=0, Find(6)=0, Add (3,6)=65 Failed, w=105\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=105\",\"Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=105\",\"Find(5)=0, Find(6)=0, Add (5,6)=78 Failed, w=105\",\"Find(1)=0, Find(6)=0, Add (1,6)=80 Failed, w=105\",\"Find(0)=0, Find(6)=0, Add (0,6)=89 Failed, w=105\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 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\":[[0,1,74],[0,2,35],[0,5,22],[0,6,89],[1,3,21],[1,4,4],[1,5,95],[1,6,80],[2,4,4],[2,5,73],[2,6,19],[3,6,65],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(2,4)=4,(2,6)=19,(1,3)=21,(0,5)=22,(0,2)=35,(3,6)=65,(2,5)=73,(0,1)=74,(5,6)=78,(1,6)=80,(0,6)=89,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(4)=1, Add (2,4)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=19 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=0, Find(2)=1, Add (0,2)=35 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=65 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=74 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=78 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=80 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=89 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,42],[0,2,40],[0,3,28],[0,6,19],[0,7,17],[1,2,21],[1,4,2],[1,5,50],[1,7,3],[2,3,40],[2,4,82],[2,6,14],[3,4,83],[3,5,94],[3,6,16],[3,7,96],[4,5,26],[4,6,67],[4,7,35],[5,6,79],[5,7,39],[6,7,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,40],[0,3,28],[0,6,19],[0,7,17],[1,2,21],[1,4,2],[1,5,50],[1,7,3],[2,3,40],[2,4,82],[2,6,14],[3,4,83],[3,5,94],[3,6,16],[3,7,96],[4,5,26],[4,6,67],[4,7,35],[5,6,79],[5,7,39],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,40],[0,3,28],[0,6,19],[0,7,17],[1,2,21],[1,4,2],[1,5,50],[1,7,3],[2,3,40],[2,4,82],[2,6,14],[3,4,83],[3,5,94],[3,6,16],[3,7,96],[4,5,26],[4,6,67],[4,7,35],[5,6,79],[5,7,39],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,7)\",\"Add (2,6)\",\"Add (3,6)\",\"Add (0,7)\",\"Add (0,6)\",\"Add (4,5)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,40],[0,3,28],[0,6,19],[0,7,17],[1,2,21],[1,4,2],[1,5,50],[1,7,3],[2,3,40],[2,4,82],[2,6,14],[3,4,83],[3,5,94],[3,6,16],[3,7,96],[4,5,26],[4,6,67],[4,7,35],[5,6,79],[5,7,39],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (1,7)=3, w=5\",\"Add (2,6)=14, w=19\",\"Add (3,6)=16, w=35\",\"Add (0,7)=17, w=52\",\"Add (0,6)=19, w=71\",\"Add (4,5)=26, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,40],[0,3,28],[0,6,19],[0,7,17],[1,2,21],[1,4,2],[1,5,50],[1,7,3],[2,3,40],[2,4,82],[2,6,14],[3,4,83],[3,5,94],[3,6,16],[3,7,96],[4,5,26],[4,6,67],[4,7,35],[5,6,79],[5,7,39],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (1,7)=3 Succeeded, w=5\",\"Add (2,6)=14 Succeeded, w=19\",\"Add (3,6)=16 Succeeded, w=35\",\"Add (0,7)=17 Succeeded, w=52\",\"Add (0,6)=19 Succeeded, w=71\",\"Add (1,2)=21 Failed, w=71\",\"Add (4,5)=26 Succeeded, w=97\",\"Add (0,3)=28 Failed, w=97\",\"Add (6,7)=33 Failed, w=97\",\"Add (4,7)=35 Failed, w=97\",\"Add (5,7)=39 Failed, w=97\",\"Add (0,2)=40 Failed, w=97\",\"Add (2,3)=40 Failed, w=97\",\"Add (0,1)=42 Failed, w=97\",\"Add (1,5)=50 Failed, w=97\",\"Add (4,6)=67 Failed, w=97\",\"Add (5,6)=79 Failed, w=97\",\"Add (2,4)=82 Failed, w=97\",\"Add (3,4)=83 Failed, w=97\",\"Add (3,5)=94 Failed, w=97\",\"Add (3,7)=96 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,40],[0,3,28],[0,6,19],[0,7,17],[1,2,21],[1,4,2],[1,5,50],[1,7,3],[2,3,40],[2,4,82],[2,6,14],[3,4,83],[3,5,94],[3,6,16],[3,7,96],[4,5,26],[4,6,67],[4,7,35],[5,6,79],[5,7,39],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,7)=3,(2,6)=14,(3,6)=16,(0,7)=17,(0,6)=19,(1,2)=21,(4,5)=26,(0,3)=28,(6,7)=33,(4,7)=35,(5,7)=39,(0,2)=40,(2,3)=40,(0,1)=42,(1,5)=50,(4,6)=67,(5,6)=79,(2,4)=82,(3,4)=83,(3,5)=94,(3,7)=96]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=14 Succeeded, w=19\",\"Find(3)=3, Find(6)=2, Add (3,6)=16 Succeeded, w=35\",\"Find(0)=0, Find(7)=1, Add (0,7)=17 Succeeded, w=52\",\"Find(0)=1, Find(6)=2, Add (0,6)=19 Succeeded, w=71\",\"Find(1)=1, Find(2)=1, Add (1,2)=21 Failed, w=71\",\"Find(4)=1, Find(5)=5, Add (4,5)=26 Succeeded, w=97\",\"Find(0)=1, Find(3)=1, Add (0,3)=28 Failed, w=97\",\"Find(6)=1, Find(7)=1, Add (6,7)=33 Failed, w=97\",\"Find(4)=1, Find(7)=1, Add (4,7)=35 Failed, w=97\",\"Find(5)=1, Find(7)=1, Add (5,7)=39 Failed, w=97\",\"Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=97\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=97\",\"Find(0)=1, Find(1)=1, Add (0,1)=42 Failed, w=97\",\"Find(1)=1, Find(5)=1, Add (1,5)=50 Failed, w=97\",\"Find(4)=1, Find(6)=1, Add (4,6)=67 Failed, w=97\",\"Find(5)=1, Find(6)=1, Add (5,6)=79 Failed, w=97\",\"Find(2)=1, Find(4)=1, Add (2,4)=82 Failed, w=97\",\"Find(3)=1, Find(4)=1, Add (3,4)=83 Failed, w=97\",\"Find(3)=1, Find(5)=1, Add (3,5)=94 Failed, w=97\",\"Find(3)=1, Find(7)=1, Add (3,7)=96 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,42],[0,2,40],[0,3,28],[0,6,19],[0,7,17],[1,2,21],[1,4,2],[1,5,50],[1,7,3],[2,3,40],[2,4,82],[2,6,14],[3,4,83],[3,5,94],[3,6,16],[3,7,96],[4,5,26],[4,6,67],[4,7,35],[5,6,79],[5,7,39],[6,7,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(1,7)=3,(2,6)=14,(3,6)=16,(0,7)=17,(0,6)=19,(1,2)=21,(4,5)=26,(0,3)=28,(6,7)=33,(4,7)=35,(5,7)=39,(0,2)=40,(2,3)=40,(0,1)=42,(1,5)=50,(4,6)=67,(5,6)=79,(2,4)=82,(3,4)=83,(3,5)=94,(3,7)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2, 7: 1}, Find(2)=2, Find(6)=6, Add (2,6)=14 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 2, 7: 1}, Find(3)=3, Find(6)=2, Add (3,6)=16 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 2, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=17 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 5, 6: 2, 7: 1}, Find(0)=1, Find(6)=2, Add (0,6)=19 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 5, 6: 2, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=21 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 2, 7: 1}, Find(4)=1, Find(5)=5, Add (4,5)=26 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=28 Failed, w=97\",\"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)=33 Failed, w=97\",\"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)=35 Failed, w=97\",\"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)=39 Failed, w=97\",\"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)=40 Failed, w=97\",\"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)=40 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=42 Failed, w=97\",\"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)=50 Failed, w=97\",\"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=97\",\"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)=79 Failed, w=97\",\"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)=82 Failed, w=97\",\"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)=83 Failed, w=97\",\"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)=94 Failed, w=97\",\"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)=96 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,47],[0,2,41],[0,3,86],[0,5,22],[1,2,25],[1,4,99],[1,5,2],[2,3,90],[3,4,29],[3,5,89],[4,5,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,41],[0,3,86],[0,5,22],[1,2,25],[1,4,99],[1,5,2],[2,3,90],[3,4,29],[3,5,89],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,41],[0,3,86],[0,5,22],[1,2,25],[1,4,99],[1,5,2],[2,3,90],[3,4,29],[3,5,89],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (4,5)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,41],[0,3,86],[0,5,22],[1,2,25],[1,4,99],[1,5,2],[2,3,90],[3,4,29],[3,5,89],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2, w=2\",\"Add (0,5)=22, w=24\",\"Add (1,2)=25, w=49\",\"Add (3,4)=29, w=78\",\"Add (4,5)=54, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,41],[0,3,86],[0,5,22],[1,2,25],[1,4,99],[1,5,2],[2,3,90],[3,4,29],[3,5,89],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=2 Succeeded, w=2\",\"Add (0,5)=22 Succeeded, w=24\",\"Add (1,2)=25 Succeeded, w=49\",\"Add (3,4)=29 Succeeded, w=78\",\"Add (0,2)=41 Failed, w=78\",\"Add (0,1)=47 Failed, w=78\",\"Add (4,5)=54 Succeeded, w=132\",\"Add (0,3)=86 Failed, w=132\",\"Add (3,5)=89 Failed, w=132\",\"Add (2,3)=90 Failed, w=132\",\"Add (1,4)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,41],[0,3,86],[0,5,22],[1,2,25],[1,4,99],[1,5,2],[2,3,90],[3,4,29],[3,5,89],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(0,5)=22,(1,2)=25,(3,4)=29,(0,2)=41,(0,1)=47,(4,5)=54,(0,3)=86,(3,5)=89,(2,3)=90,(1,4)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=1, Add (0,5)=22 Succeeded, w=24\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=49\",\"Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=78\",\"Find(0)=1, Find(2)=1, Add (0,2)=41 Failed, w=78\",\"Find(0)=1, Find(1)=1, Add (0,1)=47 Failed, w=78\",\"Find(4)=3, Find(5)=1, Add (4,5)=54 Succeeded, w=132\",\"Find(0)=3, Find(3)=3, Add (0,3)=86 Failed, w=132\",\"Find(3)=3, Find(5)=3, Add (3,5)=89 Failed, w=132\",\"Find(2)=3, Find(3)=3, Add (2,3)=90 Failed, w=132\",\"Find(1)=3, Find(4)=3, Add (1,4)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,47],[0,2,41],[0,3,86],[0,5,22],[1,2,25],[1,4,99],[1,5,2],[2,3,90],[3,4,29],[3,5,89],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=2,(0,5)=22,(1,2)=25,(3,4)=29,(0,2)=41,(0,1)=47,(4,5)=54,(0,3)=86,(3,5)=89,(2,3)=90,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=22 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=41 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=47 Failed, w=78\",\"Parent: {0: 1, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(4)=3, Find(5)=1, Add (4,5)=54 Succeeded, w=132\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 1}, Find(0)=3, Find(3)=3, Add (0,3)=86 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 1, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=89 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(3)=3, Add (2,3)=90 Failed, w=132\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=99 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,5],[0,2,90],[0,3,57],[0,4,89],[0,5,22],[0,6,51],[1,2,43],[1,3,75],[1,4,89],[1,5,60],[1,6,46],[1,7,94],[2,3,73],[2,5,6],[2,7,88],[3,5,94],[3,7,2],[4,7,26],[5,6,90],[6,7,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,90],[0,3,57],[0,4,89],[0,5,22],[0,6,51],[1,2,43],[1,3,75],[1,4,89],[1,5,60],[1,6,46],[1,7,94],[2,3,73],[2,5,6],[2,7,88],[3,5,94],[3,7,2],[4,7,26],[5,6,90],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,90],[0,3,57],[0,4,89],[0,5,22],[0,6,51],[1,2,43],[1,3,75],[1,4,89],[1,5,60],[1,6,46],[1,7,94],[2,3,73],[2,5,6],[2,7,88],[3,5,94],[3,7,2],[4,7,26],[5,6,90],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (4,7)\",\"Add (1,6)\",\"Add (0,3)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,90],[0,3,57],[0,4,89],[0,5,22],[0,6,51],[1,2,43],[1,3,75],[1,4,89],[1,5,60],[1,6,46],[1,7,94],[2,3,73],[2,5,6],[2,7,88],[3,5,94],[3,7,2],[4,7,26],[5,6,90],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=2, w=2\",\"Add (0,1)=5, w=7\",\"Add (2,5)=6, w=13\",\"Add (0,5)=22, w=35\",\"Add (4,7)=26, w=61\",\"Add (1,6)=46, w=107\",\"Add (0,3)=57, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,90],[0,3,57],[0,4,89],[0,5,22],[0,6,51],[1,2,43],[1,3,75],[1,4,89],[1,5,60],[1,6,46],[1,7,94],[2,3,73],[2,5,6],[2,7,88],[3,5,94],[3,7,2],[4,7,26],[5,6,90],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=2 Succeeded, w=2\",\"Add (0,1)=5 Succeeded, w=7\",\"Add (2,5)=6 Succeeded, w=13\",\"Add (0,5)=22 Succeeded, w=35\",\"Add (4,7)=26 Succeeded, w=61\",\"Add (1,2)=43 Failed, w=61\",\"Add (1,6)=46 Succeeded, w=107\",\"Add (0,6)=51 Failed, w=107\",\"Add (0,3)=57 Succeeded, w=164\",\"Add (1,5)=60 Failed, w=164\",\"Add (2,3)=73 Failed, w=164\",\"Add (1,3)=75 Failed, w=164\",\"Add (2,7)=88 Failed, w=164\",\"Add (0,4)=89 Failed, w=164\",\"Add (1,4)=89 Failed, w=164\",\"Add (6,7)=89 Failed, w=164\",\"Add (0,2)=90 Failed, w=164\",\"Add (5,6)=90 Failed, w=164\",\"Add (1,7)=94 Failed, w=164\",\"Add (3,5)=94 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,90],[0,3,57],[0,4,89],[0,5,22],[0,6,51],[1,2,43],[1,3,75],[1,4,89],[1,5,60],[1,6,46],[1,7,94],[2,3,73],[2,5,6],[2,7,88],[3,5,94],[3,7,2],[4,7,26],[5,6,90],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=2,(0,1)=5,(2,5)=6,(0,5)=22,(4,7)=26,(1,2)=43,(1,6)=46,(0,6)=51,(0,3)=57,(1,5)=60,(2,3)=73,(1,3)=75,(2,7)=88,(0,4)=89,(1,4)=89,(6,7)=89,(0,2)=90,(5,6)=90,(1,7)=94,(3,5)=94]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=13\",\"Find(0)=0, Find(5)=2, Add (0,5)=22 Succeeded, w=35\",\"Find(4)=4, Find(7)=3, Add (4,7)=26 Succeeded, w=61\",\"Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=61\",\"Find(1)=0, Find(6)=6, Add (1,6)=46 Succeeded, w=107\",\"Find(0)=0, Find(6)=0, Add (0,6)=51 Failed, w=107\",\"Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=164\",\"Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=164\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=164\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=164\",\"Find(2)=0, Find(7)=0, Add (2,7)=88 Failed, w=164\",\"Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=164\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=164\",\"Find(6)=0, Find(7)=0, Add (6,7)=89 Failed, w=164\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=164\",\"Find(5)=0, Find(6)=0, Add (5,6)=90 Failed, w=164\",\"Find(1)=0, Find(7)=0, Add (1,7)=94 Failed, w=164\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,90],[0,3,57],[0,4,89],[0,5,22],[0,6,51],[1,2,43],[1,3,75],[1,4,89],[1,5,60],[1,6,46],[1,7,94],[2,3,73],[2,5,6],[2,7,88],[3,5,94],[3,7,2],[4,7,26],[5,6,90],[6,7,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=2,(0,1)=5,(2,5)=6,(0,5)=22,(4,7)=26,(1,2)=43,(1,6)=46,(0,6)=51,(0,3)=57,(1,5)=60,(2,3)=73,(1,3)=75,(2,7)=88,(0,4)=89,(1,4)=89,(6,7)=89,(0,2)=90,(5,6)=90,(1,7)=94,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 3}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2, 6: 6, 7: 3}, Find(0)=0, Find(5)=2, Add (0,5)=22 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2, 6: 6, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=26 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2, 6: 6, 7: 3}, Find(1)=0, Find(2)=0, Add (1,2)=43 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2, 6: 0, 7: 3}, Find(1)=0, Find(6)=6, Add (1,6)=46 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 2, 6: 0, 7: 3}, Find(0)=0, Find(6)=0, Add (0,6)=51 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2, 6: 0, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=164\",\"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)=88 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=89 Failed, w=164\",\"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)=89 Failed, w=164\",\"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)=89 Failed, w=164\",\"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)=90 Failed, w=164\",\"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)=90 Failed, w=164\",\"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)=94 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,3],[0,3,4],[0,4,9],[0,5,27],[0,6,5],[1,3,35],[1,6,49],[2,4,6],[2,5,71],[3,5,72],[4,6,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,3,4],[0,4,9],[0,5,27],[0,6,5],[1,3,35],[1,6,49],[2,4,6],[2,5,71],[3,5,72],[4,6,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,3,4],[0,4,9],[0,5,27],[0,6,5],[1,3,35],[1,6,49],[2,4,6],[2,5,71],[3,5,72],[4,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (0,5)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,3,4],[0,4,9],[0,5,27],[0,6,5],[1,3,35],[1,6,49],[2,4,6],[2,5,71],[3,5,72],[4,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,3)=4, w=7\",\"Add (0,6)=5, w=12\",\"Add (2,4)=6, w=18\",\"Add (0,4)=9, w=27\",\"Add (0,5)=27, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,3,4],[0,4,9],[0,5,27],[0,6,5],[1,3,35],[1,6,49],[2,4,6],[2,5,71],[3,5,72],[4,6,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,3)=4 Succeeded, w=7\",\"Add (0,6)=5 Succeeded, w=12\",\"Add (2,4)=6 Succeeded, w=18\",\"Add (0,4)=9 Succeeded, w=27\",\"Add (4,6)=23 Failed, w=27\",\"Add (0,5)=27 Succeeded, w=54\",\"Add (1,3)=35 Failed, w=54\",\"Add (1,6)=49 Failed, w=54\",\"Add (2,5)=71 Failed, w=54\",\"Add (3,5)=72 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,3,4],[0,4,9],[0,5,27],[0,6,5],[1,3,35],[1,6,49],[2,4,6],[2,5,71],[3,5,72],[4,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,3)=4,(0,6)=5,(2,4)=6,(0,4)=9,(4,6)=23,(0,5)=27,(1,3)=35,(1,6)=49,(2,5)=71,(3,5)=72]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=18\",\"Find(0)=0, Find(4)=2, Add (0,4)=9 Succeeded, w=27\",\"Find(4)=0, Find(6)=0, Add (4,6)=23 Failed, w=27\",\"Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=54\",\"Find(1)=0, Find(3)=0, Add (1,3)=35 Failed, w=54\",\"Find(1)=0, Find(6)=0, Add (1,6)=49 Failed, w=54\",\"Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=54\",\"Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,3],[0,3,4],[0,4,9],[0,5,27],[0,6,5],[1,3,35],[1,6,49],[2,4,6],[2,5,71],[3,5,72],[4,6,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,3)=4,(0,6)=5,(2,4)=6,(0,4)=9,(4,6)=23,(0,5)=27,(1,3)=35,(1,6)=49,(2,5)=71,(3,5)=72]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0}, Find(0)=0, Find(4)=2, Add (0,4)=9 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=23 Failed, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=27 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=35 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=49 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,87],[0,2,97],[0,3,9],[1,2,14],[2,3,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,97],[0,3,9],[1,2,14],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,97],[0,3,9],[1,2,14],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,97],[0,3,9],[1,2,14],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9, w=9\",\"Add (1,2)=14, w=23\",\"Add (2,3)=70, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,97],[0,3,9],[1,2,14],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=9 Succeeded, w=9\",\"Add (1,2)=14 Succeeded, w=23\",\"Add (2,3)=70 Succeeded, w=93\",\"Add (0,1)=87 Failed, w=93\",\"Add (0,2)=97 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,97],[0,3,9],[1,2,14],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(1,2)=14,(2,3)=70,(0,1)=87,(0,2)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=23\",\"Find(2)=1, Find(3)=0, Add (2,3)=70 Succeeded, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=93\",\"Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,87],[0,2,97],[0,3,9],[1,2,14],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=9,(1,2)=14,(2,3)=70,(0,1)=87,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=70 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=97 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,99],[0,5,87],[0,7,23],[1,3,67],[1,5,0],[1,6,75],[1,7,47],[2,3,54],[2,4,4],[2,6,22],[2,7,59],[3,4,75],[3,6,77],[3,7,5],[5,7,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,99],[0,5,87],[0,7,23],[1,3,67],[1,5,0],[1,6,75],[1,7,47],[2,3,54],[2,4,4],[2,6,22],[2,7,59],[3,4,75],[3,6,77],[3,7,5],[5,7,12]]}",
"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\":[[0,2,99],[0,5,87],[0,7,23],[1,3,67],[1,5,0],[1,6,75],[1,7,47],[2,3,54],[2,4,4],[2,6,22],[2,7,59],[3,4,75],[3,6,77],[3,7,5],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,4)\",\"Add (3,7)\",\"Add (5,7)\",\"Add (2,6)\",\"Add (0,7)\",\"Add (2,3)\"],\"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\":[[0,2,99],[0,5,87],[0,7,23],[1,3,67],[1,5,0],[1,6,75],[1,7,47],[2,3,54],[2,4,4],[2,6,22],[2,7,59],[3,4,75],[3,6,77],[3,7,5],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (2,4)=4, w=4\",\"Add (3,7)=5, w=9\",\"Add (5,7)=12, w=21\",\"Add (2,6)=22, w=43\",\"Add (0,7)=23, w=66\",\"Add (2,3)=54, 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\":[[0,2,99],[0,5,87],[0,7,23],[1,3,67],[1,5,0],[1,6,75],[1,7,47],[2,3,54],[2,4,4],[2,6,22],[2,7,59],[3,4,75],[3,6,77],[3,7,5],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (2,4)=4 Succeeded, w=4\",\"Add (3,7)=5 Succeeded, w=9\",\"Add (5,7)=12 Succeeded, w=21\",\"Add (2,6)=22 Succeeded, w=43\",\"Add (0,7)=23 Succeeded, w=66\",\"Add (1,7)=47 Failed, w=66\",\"Add (2,3)=54 Succeeded, w=120\",\"Add (2,7)=59 Failed, w=120\",\"Add (1,3)=67 Failed, w=120\",\"Add (1,6)=75 Failed, w=120\",\"Add (3,4)=75 Failed, w=120\",\"Add (3,6)=77 Failed, w=120\",\"Add (0,5)=87 Failed, w=120\",\"Add (0,2)=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\":[[0,2,99],[0,5,87],[0,7,23],[1,3,67],[1,5,0],[1,6,75],[1,7,47],[2,3,54],[2,4,4],[2,6,22],[2,7,59],[3,4,75],[3,6,77],[3,7,5],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(2,4)=4,(3,7)=5,(5,7)=12,(2,6)=22,(0,7)=23,(1,7)=47,(2,3)=54,(2,7)=59,(1,3)=67,(1,6)=75,(3,4)=75,(3,6)=77,(0,5)=87,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=9\",\"Find(5)=1, Find(7)=3, Add (5,7)=12 Succeeded, w=21\",\"Find(2)=2, Find(6)=6, Add (2,6)=22 Succeeded, w=43\",\"Find(0)=0, Find(7)=1, Add (0,7)=23 Succeeded, w=66\",\"Find(1)=1, Find(7)=1, Add (1,7)=47 Failed, w=66\",\"Find(2)=2, Find(3)=1, Add (2,3)=54 Succeeded, w=120\",\"Find(2)=1, Find(7)=1, Add (2,7)=59 Failed, w=120\",\"Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=120\",\"Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=120\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=120\",\"Find(3)=1, Find(6)=1, Add (3,6)=77 Failed, w=120\",\"Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=120\",\"Find(0)=1, Find(2)=1, Add (0,2)=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\":[[0,2,99],[0,5,87],[0,7,23],[1,3,67],[1,5,0],[1,6,75],[1,7,47],[2,3,54],[2,4,4],[2,6,22],[2,7,59],[3,4,75],[3,6,77],[3,7,5],[5,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(2,4)=4,(3,7)=5,(5,7)=12,(2,6)=22,(0,7)=23,(1,7)=47,(2,3)=54,(2,7)=59,(1,3)=67,(1,6)=75,(3,4)=75,(3,6)=77,(0,5)=87,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 6, 7: 3}, Find(5)=1, Find(7)=3, Add (5,7)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 3}, Find(2)=2, Find(6)=6, Add (2,6)=22 Succeeded, w=43\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=23 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=47 Failed, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 2, 7: 1}, Find(2)=2, Find(3)=1, Add (2,3)=54 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 2, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=59 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 2, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=67 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=77 Failed, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=120\",\"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)=99 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,42],[0,3,45],[0,4,66],[1,2,1],[1,3,66],[1,4,38],[2,3,49],[2,4,28],[3,4,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,3,45],[0,4,66],[1,2,1],[1,3,66],[1,4,38],[2,3,49],[2,4,28],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,3,45],[0,4,66],[1,2,1],[1,3,66],[1,4,38],[2,3,49],[2,4,28],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,3,45],[0,4,66],[1,2,1],[1,3,66],[1,4,38],[2,3,49],[2,4,28],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (3,4)=5, w=6\",\"Add (2,4)=28, w=34\",\"Add (0,1)=42, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,3,45],[0,4,66],[1,2,1],[1,3,66],[1,4,38],[2,3,49],[2,4,28],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (3,4)=5 Succeeded, w=6\",\"Add (2,4)=28 Succeeded, w=34\",\"Add (1,4)=38 Failed, w=34\",\"Add (0,1)=42 Succeeded, w=76\",\"Add (0,3)=45 Failed, w=76\",\"Add (2,3)=49 Failed, w=76\",\"Add (0,4)=66 Failed, w=76\",\"Add (1,3)=66 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,3,45],[0,4,66],[1,2,1],[1,3,66],[1,4,38],[2,3,49],[2,4,28],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(3,4)=5,(2,4)=28,(1,4)=38,(0,1)=42,(0,3)=45,(2,3)=49,(0,4)=66,(1,3)=66]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=6\",\"Find(2)=1, Find(4)=3, Add (2,4)=28 Succeeded, w=34\",\"Find(1)=1, Find(4)=1, Add (1,4)=38 Failed, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=76\",\"Find(0)=1, Find(3)=1, Add (0,3)=45 Failed, w=76\",\"Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=76\",\"Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=76\",\"Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,42],[0,3,45],[0,4,66],[1,2,1],[1,3,66],[1,4,38],[2,3,49],[2,4,28],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(3,4)=5,(2,4)=28,(1,4)=38,(0,1)=42,(0,3)=45,(2,3)=49,(0,4)=66,(1,3)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(4)=3, Add (2,4)=28 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=38 Failed, w=34\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=45 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=49 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=66 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,2,71],[0,3,64],[1,2,14],[1,3,91],[2,3,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,71],[0,3,64],[1,2,14],[1,3,91],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,71],[0,3,64],[1,2,14],[1,3,91],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,71],[0,3,64],[1,2,14],[1,3,91],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13, w=13\",\"Add (1,2)=14, w=27\",\"Add (2,3)=57, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,71],[0,3,64],[1,2,14],[1,3,91],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=13 Succeeded, w=13\",\"Add (1,2)=14 Succeeded, w=27\",\"Add (2,3)=57 Succeeded, w=84\",\"Add (0,3)=64 Failed, w=84\",\"Add (0,2)=71 Failed, w=84\",\"Add (1,3)=91 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,71],[0,3,64],[1,2,14],[1,3,91],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(1,2)=14,(2,3)=57,(0,3)=64,(0,2)=71,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=27\",\"Find(2)=0, Find(3)=3, Add (2,3)=57 Succeeded, w=84\",\"Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=84\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=84\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,2,71],[0,3,64],[1,2,14],[1,3,91],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=13,(1,2)=14,(2,3)=57,(0,3)=64,(0,2)=71,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=57 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=64 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,91],[0,2,69],[0,3,27],[0,4,84],[0,5,52],[0,6,72],[0,7,14],[1,2,39],[1,3,21],[1,4,83],[1,5,45],[1,6,51],[1,7,81],[2,3,89],[2,4,33],[2,5,39],[2,6,35],[2,7,52],[3,4,75],[3,5,24],[3,6,17],[3,7,84],[4,5,0],[4,6,26],[4,7,65],[5,7,8],[6,7,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,69],[0,3,27],[0,4,84],[0,5,52],[0,6,72],[0,7,14],[1,2,39],[1,3,21],[1,4,83],[1,5,45],[1,6,51],[1,7,81],[2,3,89],[2,4,33],[2,5,39],[2,6,35],[2,7,52],[3,4,75],[3,5,24],[3,6,17],[3,7,84],[4,5,0],[4,6,26],[4,7,65],[5,7,8],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,69],[0,3,27],[0,4,84],[0,5,52],[0,6,72],[0,7,14],[1,2,39],[1,3,21],[1,4,83],[1,5,45],[1,6,51],[1,7,81],[2,3,89],[2,4,33],[2,5,39],[2,6,35],[2,7,52],[3,4,75],[3,5,24],[3,6,17],[3,7,84],[4,5,0],[4,6,26],[4,7,65],[5,7,8],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (5,7)\",\"Add (0,7)\",\"Add (3,6)\",\"Add (6,7)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,69],[0,3,27],[0,4,84],[0,5,52],[0,6,72],[0,7,14],[1,2,39],[1,3,21],[1,4,83],[1,5,45],[1,6,51],[1,7,81],[2,3,89],[2,4,33],[2,5,39],[2,6,35],[2,7,52],[3,4,75],[3,5,24],[3,6,17],[3,7,84],[4,5,0],[4,6,26],[4,7,65],[5,7,8],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (5,7)=8, w=8\",\"Add (0,7)=14, w=22\",\"Add (3,6)=17, w=39\",\"Add (6,7)=18, w=57\",\"Add (1,3)=21, w=78\",\"Add (2,4)=33, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,69],[0,3,27],[0,4,84],[0,5,52],[0,6,72],[0,7,14],[1,2,39],[1,3,21],[1,4,83],[1,5,45],[1,6,51],[1,7,81],[2,3,89],[2,4,33],[2,5,39],[2,6,35],[2,7,52],[3,4,75],[3,5,24],[3,6,17],[3,7,84],[4,5,0],[4,6,26],[4,7,65],[5,7,8],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (5,7)=8 Succeeded, w=8\",\"Add (0,7)=14 Succeeded, w=22\",\"Add (3,6)=17 Succeeded, w=39\",\"Add (6,7)=18 Succeeded, w=57\",\"Add (1,3)=21 Succeeded, w=78\",\"Add (3,5)=24 Failed, w=78\",\"Add (4,6)=26 Failed, w=78\",\"Add (0,3)=27 Failed, w=78\",\"Add (2,4)=33 Succeeded, w=111\",\"Add (2,6)=35 Failed, w=111\",\"Add (1,2)=39 Failed, w=111\",\"Add (2,5)=39 Failed, w=111\",\"Add (1,5)=45 Failed, w=111\",\"Add (1,6)=51 Failed, w=111\",\"Add (0,5)=52 Failed, w=111\",\"Add (2,7)=52 Failed, w=111\",\"Add (4,7)=65 Failed, w=111\",\"Add (0,2)=69 Failed, w=111\",\"Add (0,6)=72 Failed, w=111\",\"Add (3,4)=75 Failed, w=111\",\"Add (1,7)=81 Failed, w=111\",\"Add (1,4)=83 Failed, w=111\",\"Add (0,4)=84 Failed, w=111\",\"Add (3,7)=84 Failed, w=111\",\"Add (2,3)=89 Failed, w=111\",\"Add (0,1)=91 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,69],[0,3,27],[0,4,84],[0,5,52],[0,6,72],[0,7,14],[1,2,39],[1,3,21],[1,4,83],[1,5,45],[1,6,51],[1,7,81],[2,3,89],[2,4,33],[2,5,39],[2,6,35],[2,7,52],[3,4,75],[3,5,24],[3,6,17],[3,7,84],[4,5,0],[4,6,26],[4,7,65],[5,7,8],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(5,7)=8,(0,7)=14,(3,6)=17,(6,7)=18,(1,3)=21,(3,5)=24,(4,6)=26,(0,3)=27,(2,4)=33,(2,6)=35,(1,2)=39,(2,5)=39,(1,5)=45,(1,6)=51,(0,5)=52,(2,7)=52,(4,7)=65,(0,2)=69,(0,6)=72,(3,4)=75,(1,7)=81,(1,4)=83,(0,4)=84,(3,7)=84,(2,3)=89,(0,1)=91]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(5)=4, Find(7)=7, Add (5,7)=8 Succeeded, w=8\",\"Find(0)=0, Find(7)=4, Add (0,7)=14 Succeeded, w=22\",\"Find(3)=3, Find(6)=6, Add (3,6)=17 Succeeded, w=39\",\"Find(6)=3, Find(7)=4, Add (6,7)=18 Succeeded, w=57\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=78\",\"Find(3)=3, Find(5)=3, Add (3,5)=24 Failed, w=78\",\"Find(4)=3, Find(6)=3, Add (4,6)=26 Failed, w=78\",\"Find(0)=3, Find(3)=3, Add (0,3)=27 Failed, w=78\",\"Find(2)=2, Find(4)=3, Add (2,4)=33 Succeeded, w=111\",\"Find(2)=3, Find(6)=3, Add (2,6)=35 Failed, w=111\",\"Find(1)=3, Find(2)=3, Add (1,2)=39 Failed, w=111\",\"Find(2)=3, Find(5)=3, Add (2,5)=39 Failed, w=111\",\"Find(1)=3, Find(5)=3, Add (1,5)=45 Failed, w=111\",\"Find(1)=3, Find(6)=3, Add (1,6)=51 Failed, w=111\",\"Find(0)=3, Find(5)=3, Add (0,5)=52 Failed, w=111\",\"Find(2)=3, Find(7)=3, Add (2,7)=52 Failed, w=111\",\"Find(4)=3, Find(7)=3, Add (4,7)=65 Failed, w=111\",\"Find(0)=3, Find(2)=3, Add (0,2)=69 Failed, w=111\",\"Find(0)=3, Find(6)=3, Add (0,6)=72 Failed, w=111\",\"Find(3)=3, Find(4)=3, Add (3,4)=75 Failed, w=111\",\"Find(1)=3, Find(7)=3, Add (1,7)=81 Failed, w=111\",\"Find(1)=3, Find(4)=3, Add (1,4)=83 Failed, w=111\",\"Find(0)=3, Find(4)=3, Add (0,4)=84 Failed, w=111\",\"Find(3)=3, Find(7)=3, Add (3,7)=84 Failed, w=111\",\"Find(2)=3, Find(3)=3, Add (2,3)=89 Failed, w=111\",\"Find(0)=3, Find(1)=3, Add (0,1)=91 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,91],[0,2,69],[0,3,27],[0,4,84],[0,5,52],[0,6,72],[0,7,14],[1,2,39],[1,3,21],[1,4,83],[1,5,45],[1,6,51],[1,7,81],[2,3,89],[2,4,33],[2,5,39],[2,6,35],[2,7,52],[3,4,75],[3,5,24],[3,6,17],[3,7,84],[4,5,0],[4,6,26],[4,7,65],[5,7,8],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(5,7)=8,(0,7)=14,(3,6)=17,(6,7)=18,(1,3)=21,(3,5)=24,(4,6)=26,(0,3)=27,(2,4)=33,(2,6)=35,(1,2)=39,(2,5)=39,(1,5)=45,(1,6)=51,(0,5)=52,(2,7)=52,(4,7)=65,(0,2)=69,(0,6)=72,(3,4)=75,(1,7)=81,(1,4)=83,(0,4)=84,(3,7)=84,(2,3)=89,(0,1)=91]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(5)=4, Find(7)=7, Add (5,7)=8 Succeeded, w=8\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=14 Succeeded, w=22\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 4}, Find(3)=3, Find(6)=6, Add (3,6)=17 Succeeded, w=39\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 3, 5: 4, 6: 3, 7: 4}, Find(6)=3, Find(7)=4, Add (6,7)=18 Succeeded, w=57\",\"Parent: {0: 4, 1: 3, 2: 2, 3: 3, 4: 3, 5: 4, 6: 3, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=78\",\"Parent: {0: 4, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(3)=3, Find(5)=3, Add (3,5)=24 Failed, w=78\",\"Parent: {0: 4, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(4)=3, Find(6)=3, Add (4,6)=26 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(0)=3, Find(3)=3, Add (0,3)=27 Failed, w=78\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(2)=2, Find(4)=3, Add (2,4)=33 Succeeded, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(2)=3, Find(6)=3, Add (2,6)=35 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(1)=3, Find(2)=3, Add (1,2)=39 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(2)=3, Find(5)=3, Add (2,5)=39 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(1)=3, Find(5)=3, Add (1,5)=45 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(1)=3, Find(6)=3, Add (1,6)=51 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(0)=3, Find(5)=3, Add (0,5)=52 Failed, w=111\",\"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)=52 Failed, w=111\",\"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)=65 Failed, w=111\",\"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)=69 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=72 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=75 Failed, w=111\",\"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)=81 Failed, w=111\",\"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)=83 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=84 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=84 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=89 Failed, w=111\",\"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)=91 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,85],[0,2,79],[0,3,25],[0,4,3],[1,2,56],[1,3,10],[1,4,29],[2,4,70],[3,4,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,79],[0,3,25],[0,4,3],[1,2,56],[1,3,10],[1,4,29],[2,4,70],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,79],[0,3,25],[0,4,3],[1,2,56],[1,3,10],[1,4,29],[2,4,70],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,79],[0,3,25],[0,4,3],[1,2,56],[1,3,10],[1,4,29],[2,4,70],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,3)=10, w=13\",\"Add (0,3)=25, w=38\",\"Add (1,2)=56, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,79],[0,3,25],[0,4,3],[1,2,56],[1,3,10],[1,4,29],[2,4,70],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,3)=10 Succeeded, w=13\",\"Add (0,3)=25 Succeeded, w=38\",\"Add (1,4)=29 Failed, w=38\",\"Add (1,2)=56 Succeeded, w=94\",\"Add (2,4)=70 Failed, w=94\",\"Add (3,4)=70 Failed, w=94\",\"Add (0,2)=79 Failed, w=94\",\"Add (0,1)=85 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,79],[0,3,25],[0,4,3],[1,2,56],[1,3,10],[1,4,29],[2,4,70],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=10,(0,3)=25,(1,4)=29,(1,2)=56,(2,4)=70,(3,4)=70,(0,2)=79,(0,1)=85]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=13\",\"Find(0)=0, Find(3)=1, Add (0,3)=25 Succeeded, w=38\",\"Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=38\",\"Find(1)=0, Find(2)=2, Add (1,2)=56 Succeeded, w=94\",\"Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=94\",\"Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=94\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=94\",\"Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,85],[0,2,79],[0,3,25],[0,4,3],[1,2,56],[1,3,10],[1,4,29],[2,4,70],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,3)=10,(0,3)=25,(1,4)=29,(1,2)=56,(2,4)=70,(3,4)=70,(0,2)=79,(0,1)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(3)=1, Add (0,3)=25 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=29 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=56 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=70 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=70 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=85 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,47],[0,2,85],[0,3,0],[0,4,75],[1,2,39],[1,3,57],[2,3,68],[3,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,85],[0,3,0],[0,4,75],[1,2,39],[1,3,57],[2,3,68],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,85],[0,3,0],[0,4,75],[1,2,39],[1,3,57],[2,3,68],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,85],[0,3,0],[0,4,75],[1,2,39],[1,3,57],[2,3,68],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (3,4)=18, w=18\",\"Add (1,2)=39, w=57\",\"Add (0,1)=47, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,85],[0,3,0],[0,4,75],[1,2,39],[1,3,57],[2,3,68],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (3,4)=18 Succeeded, w=18\",\"Add (1,2)=39 Succeeded, w=57\",\"Add (0,1)=47 Succeeded, w=104\",\"Add (1,3)=57 Failed, w=104\",\"Add (2,3)=68 Failed, w=104\",\"Add (0,4)=75 Failed, w=104\",\"Add (0,2)=85 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,85],[0,3,0],[0,4,75],[1,2,39],[1,3,57],[2,3,68],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,4)=18,(1,2)=39,(0,1)=47,(1,3)=57,(2,3)=68,(0,4)=75,(0,2)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(3)=0, Find(4)=4, Add (3,4)=18 Succeeded, w=18\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=57\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=104\",\"Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=104\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=104\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=104\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,47],[0,2,85],[0,3,0],[0,4,75],[1,2,39],[1,3,57],[2,3,68],[3,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,4)=18,(1,2)=39,(0,1)=47,(1,3)=57,(2,3)=68,(0,4)=75,(0,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=57 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,50],[0,2,9],[0,3,11],[0,4,7],[0,5,27],[1,2,73],[1,3,34],[1,4,82],[1,5,38],[2,3,47],[2,5,4],[3,4,54],[3,5,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,9],[0,3,11],[0,4,7],[0,5,27],[1,2,73],[1,3,34],[1,4,82],[1,5,38],[2,3,47],[2,5,4],[3,4,54],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,9],[0,3,11],[0,4,7],[0,5,27],[1,2,73],[1,3,34],[1,4,82],[1,5,38],[2,3,47],[2,5,4],[3,4,54],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,9],[0,3,11],[0,4,7],[0,5,27],[1,2,73],[1,3,34],[1,4,82],[1,5,38],[2,3,47],[2,5,4],[3,4,54],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4, w=4\",\"Add (0,4)=7, w=11\",\"Add (0,2)=9, w=20\",\"Add (0,3)=11, w=31\",\"Add (1,3)=34, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,9],[0,3,11],[0,4,7],[0,5,27],[1,2,73],[1,3,34],[1,4,82],[1,5,38],[2,3,47],[2,5,4],[3,4,54],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=4 Succeeded, w=4\",\"Add (0,4)=7 Succeeded, w=11\",\"Add (0,2)=9 Succeeded, w=20\",\"Add (0,3)=11 Succeeded, w=31\",\"Add (3,5)=16 Failed, w=31\",\"Add (0,5)=27 Failed, w=31\",\"Add (1,3)=34 Succeeded, w=65\",\"Add (1,5)=38 Failed, w=65\",\"Add (2,3)=47 Failed, w=65\",\"Add (0,1)=50 Failed, w=65\",\"Add (3,4)=54 Failed, w=65\",\"Add (1,2)=73 Failed, w=65\",\"Add (1,4)=82 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,9],[0,3,11],[0,4,7],[0,5,27],[1,2,73],[1,3,34],[1,4,82],[1,5,38],[2,3,47],[2,5,4],[3,4,54],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(0,4)=7,(0,2)=9,(0,3)=11,(3,5)=16,(0,5)=27,(1,3)=34,(1,5)=38,(2,3)=47,(0,1)=50,(3,4)=54,(1,2)=73,(1,4)=82]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=20\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=31\",\"Find(3)=0, Find(5)=0, Add (3,5)=16 Failed, w=31\",\"Find(0)=0, Find(5)=0, Add (0,5)=27 Failed, w=31\",\"Find(1)=1, Find(3)=0, Add (1,3)=34 Succeeded, w=65\",\"Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=65\",\"Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=65\",\"Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=65\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=65\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=65\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,50],[0,2,9],[0,3,11],[0,4,7],[0,5,27],[1,2,73],[1,3,34],[1,4,82],[1,5,38],[2,3,47],[2,5,4],[3,4,54],[3,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=4,(0,4)=7,(0,2)=9,(0,3)=11,(3,5)=16,(0,5)=27,(1,3)=34,(1,5)=38,(2,3)=47,(0,1)=50,(3,4)=54,(1,2)=73,(1,4)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=16 Failed, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=27 Failed, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=34 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=47 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=50 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,2,46],[0,3,91],[0,4,85],[1,2,32],[1,4,38],[2,3,3],[2,4,51],[3,4,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,46],[0,3,91],[0,4,85],[1,2,32],[1,4,38],[2,3,3],[2,4,51],[3,4,47]]}",
"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\":[[0,1,6],[0,2,46],[0,3,91],[0,4,85],[1,2,32],[1,4,38],[2,3,3],[2,4,51],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,46],[0,3,91],[0,4,85],[1,2,32],[1,4,38],[2,3,3],[2,4,51],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (0,1)=6, w=9\",\"Add (1,2)=32, w=41\",\"Add (1,4)=38, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,46],[0,3,91],[0,4,85],[1,2,32],[1,4,38],[2,3,3],[2,4,51],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,1)=6 Succeeded, w=9\",\"Add (1,2)=32 Succeeded, w=41\",\"Add (1,4)=38 Succeeded, w=79\",\"Add (0,2)=46 Failed, w=79\",\"Add (3,4)=47 Failed, w=79\",\"Add (2,4)=51 Failed, w=79\",\"Add (0,4)=85 Failed, w=79\",\"Add (0,3)=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\":[[0,1,6],[0,2,46],[0,3,91],[0,4,85],[1,2,32],[1,4,38],[2,3,3],[2,4,51],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,1)=6,(1,2)=32,(1,4)=38,(0,2)=46,(3,4)=47,(2,4)=51,(0,4)=85,(0,3)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=9\",\"Find(1)=0, Find(2)=2, Add (1,2)=32 Succeeded, w=41\",\"Find(1)=0, Find(4)=4, Add (1,4)=38 Succeeded, w=79\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=47 Failed, w=79\",\"Find(2)=0, Find(4)=0, Add (2,4)=51 Failed, w=79\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=79\",\"Find(0)=0, Find(3)=0, Add (0,3)=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\":[[0,1,6],[0,2,46],[0,3,91],[0,4,85],[1,2,32],[1,4,38],[2,3,3],[2,4,51],[3,4,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,1)=6,(1,2)=32,(1,4)=38,(0,2)=46,(3,4)=47,(2,4)=51,(0,4)=85,(0,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=32 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=38 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=47 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=51 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,3,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=81, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=81 Succeeded, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=81]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=81 Succeeded, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=81 Succeeded, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,68],[0,5,14],[1,3,4],[1,5,33],[1,6,48],[1,7,4],[2,4,73],[2,5,71],[3,6,52],[3,7,33],[4,6,87],[5,7,6],[6,7,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,5,14],[1,3,4],[1,5,33],[1,6,48],[1,7,4],[2,4,73],[2,5,71],[3,6,52],[3,7,33],[4,6,87],[5,7,6],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,5,14],[1,3,4],[1,5,33],[1,6,48],[1,7,4],[2,4,73],[2,5,71],[3,6,52],[3,7,33],[4,6,87],[5,7,6],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,7)\",\"Add (5,7)\",\"Add (0,5)\",\"Add (1,6)\",\"Add (2,5)\",\"Add (2,4)\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,5,14],[1,3,4],[1,5,33],[1,6,48],[1,7,4],[2,4,73],[2,5,71],[3,6,52],[3,7,33],[4,6,87],[5,7,6],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4, w=4\",\"Add (1,7)=4, w=8\",\"Add (5,7)=6, w=14\",\"Add (0,5)=14, w=28\",\"Add (1,6)=48, w=76\",\"Add (2,5)=71, w=147\",\"Add (2,4)=73, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,5,14],[1,3,4],[1,5,33],[1,6,48],[1,7,4],[2,4,73],[2,5,71],[3,6,52],[3,7,33],[4,6,87],[5,7,6],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=4 Succeeded, w=4\",\"Add (1,7)=4 Succeeded, w=8\",\"Add (5,7)=6 Succeeded, w=14\",\"Add (0,5)=14 Succeeded, w=28\",\"Add (1,5)=33 Failed, w=28\",\"Add (3,7)=33 Failed, w=28\",\"Add (1,6)=48 Succeeded, w=76\",\"Add (3,6)=52 Failed, w=76\",\"Add (0,1)=68 Failed, w=76\",\"Add (2,5)=71 Succeeded, w=147\",\"Add (2,4)=73 Succeeded, w=220\",\"Add (6,7)=78 Failed, w=220\",\"Add (4,6)=87 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,5,14],[1,3,4],[1,5,33],[1,6,48],[1,7,4],[2,4,73],[2,5,71],[3,6,52],[3,7,33],[4,6,87],[5,7,6],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(1,7)=4,(5,7)=6,(0,5)=14,(1,5)=33,(3,7)=33,(1,6)=48,(3,6)=52,(0,1)=68,(2,5)=71,(2,4)=73,(6,7)=78,(4,6)=87]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=8\",\"Find(5)=5, Find(7)=1, Add (5,7)=6 Succeeded, w=14\",\"Find(0)=0, Find(5)=1, Add (0,5)=14 Succeeded, w=28\",\"Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=28\",\"Find(3)=1, Find(7)=1, Add (3,7)=33 Failed, w=28\",\"Find(1)=1, Find(6)=6, Add (1,6)=48 Succeeded, w=76\",\"Find(3)=1, Find(6)=1, Add (3,6)=52 Failed, w=76\",\"Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=76\",\"Find(2)=2, Find(5)=1, Add (2,5)=71 Succeeded, w=147\",\"Find(2)=1, Find(4)=4, Add (2,4)=73 Succeeded, w=220\",\"Find(6)=1, Find(7)=1, Add (6,7)=78 Failed, w=220\",\"Find(4)=1, Find(6)=1, Add (4,6)=87 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,5,14],[1,3,4],[1,5,33],[1,6,48],[1,7,4],[2,4,73],[2,5,71],[3,6,52],[3,7,33],[4,6,87],[5,7,6],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=4,(1,7)=4,(5,7)=6,(0,5)=14,(1,5)=33,(3,7)=33,(1,6)=48,(3,6)=52,(0,1)=68,(2,5)=71,(2,4)=73,(6,7)=78,(4,6)=87]\",\"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)=4 Succeeded, w=4\",\"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)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(5)=5, Find(7)=1, Add (5,7)=6 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(5)=1, Add (0,5)=14 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=28\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=33 Failed, w=28\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=6, Add (1,6)=48 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=52 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=2, Find(5)=1, Add (2,5)=71 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=4, Add (2,4)=73 Succeeded, w=220\",\"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)=78 Failed, w=220\",\"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)=87 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,22],[0,3,49],[1,2,92],[1,3,29],[2,3,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,22],[0,3,49],[1,2,92],[1,3,29],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,22],[0,3,49],[1,2,92],[1,3,29],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,22],[0,3,49],[1,2,92],[1,3,29],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22, w=22\",\"Add (1,3)=29, w=51\",\"Add (0,3)=49, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,22],[0,3,49],[1,2,92],[1,3,29],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=22 Succeeded, w=22\",\"Add (1,3)=29 Succeeded, w=51\",\"Add (0,3)=49 Succeeded, w=100\",\"Add (2,3)=57 Failed, w=100\",\"Add (1,2)=92 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,22],[0,3,49],[1,2,92],[1,3,29],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(1,3)=29,(0,3)=49,(2,3)=57,(1,2)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=22\",\"Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=51\",\"Find(0)=0, Find(3)=1, Add (0,3)=49 Succeeded, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,22],[0,3,49],[1,2,92],[1,3,29],[2,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=22,(1,3)=29,(0,3)=49,(2,3)=57,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=49 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,57],[0,3,60],[0,4,99],[0,5,88],[1,2,31],[1,3,67],[1,4,64],[1,5,51],[2,3,9],[2,4,40],[3,4,8],[3,5,40],[4,5,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,60],[0,4,99],[0,5,88],[1,2,31],[1,3,67],[1,4,64],[1,5,51],[2,3,9],[2,4,40],[3,4,8],[3,5,40],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,60],[0,4,99],[0,5,88],[1,2,31],[1,3,67],[1,4,64],[1,5,51],[2,3,9],[2,4,40],[3,4,8],[3,5,40],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (0,2)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,60],[0,4,99],[0,5,88],[1,2,31],[1,3,67],[1,4,64],[1,5,51],[2,3,9],[2,4,40],[3,4,8],[3,5,40],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (2,3)=9, w=17\",\"Add (1,2)=31, w=48\",\"Add (3,5)=40, w=88\",\"Add (0,2)=57, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,60],[0,4,99],[0,5,88],[1,2,31],[1,3,67],[1,4,64],[1,5,51],[2,3,9],[2,4,40],[3,4,8],[3,5,40],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (2,3)=9 Succeeded, w=17\",\"Add (1,2)=31 Succeeded, w=48\",\"Add (2,4)=40 Failed, w=48\",\"Add (3,5)=40 Succeeded, w=88\",\"Add (1,5)=51 Failed, w=88\",\"Add (0,2)=57 Succeeded, w=145\",\"Add (0,3)=60 Failed, w=145\",\"Add (1,4)=64 Failed, w=145\",\"Add (1,3)=67 Failed, w=145\",\"Add (0,5)=88 Failed, w=145\",\"Add (4,5)=93 Failed, w=145\",\"Add (0,4)=99 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,60],[0,4,99],[0,5,88],[1,2,31],[1,3,67],[1,4,64],[1,5,51],[2,3,9],[2,4,40],[3,4,8],[3,5,40],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(2,3)=9,(1,2)=31,(2,4)=40,(3,5)=40,(1,5)=51,(0,2)=57,(0,3)=60,(1,4)=64,(1,3)=67,(0,5)=88,(4,5)=93,(0,4)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=17\",\"Find(1)=1, Find(2)=3, Add (1,2)=31 Succeeded, w=48\",\"Find(2)=3, Find(4)=3, Add (2,4)=40 Failed, w=48\",\"Find(3)=3, Find(5)=5, Add (3,5)=40 Succeeded, w=88\",\"Find(1)=3, Find(5)=3, Add (1,5)=51 Failed, w=88\",\"Find(0)=0, Find(2)=3, Add (0,2)=57 Succeeded, w=145\",\"Find(0)=3, Find(3)=3, Add (0,3)=60 Failed, w=145\",\"Find(1)=3, Find(4)=3, Add (1,4)=64 Failed, w=145\",\"Find(1)=3, Find(3)=3, Add (1,3)=67 Failed, w=145\",\"Find(0)=3, Find(5)=3, Add (0,5)=88 Failed, w=145\",\"Find(4)=3, Find(5)=3, Add (4,5)=93 Failed, w=145\",\"Find(0)=3, Find(4)=3, Add (0,4)=99 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,57],[0,3,60],[0,4,99],[0,5,88],[1,2,31],[1,3,67],[1,4,64],[1,5,51],[2,3,9],[2,4,40],[3,4,8],[3,5,40],[4,5,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(2,3)=9,(1,2)=31,(2,4)=40,(3,5)=40,(1,5)=51,(0,2)=57,(0,3)=60,(1,4)=64,(1,3)=67,(0,5)=88,(4,5)=93,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(2)=3, Add (1,2)=31 Succeeded, w=48\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=3, Find(4)=3, Add (2,4)=40 Failed, w=48\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=40 Succeeded, w=88\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=51 Failed, w=88\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(2)=3, Add (0,2)=57 Succeeded, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(3)=3, Add (0,3)=60 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(4)=3, Add (1,4)=64 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(3)=3, Add (1,3)=67 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(5)=3, Add (0,5)=88 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(4)=3, Find(5)=3, Add (4,5)=93 Failed, w=145\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(4)=3, Add (0,4)=99 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,4,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,4,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":7}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\"],\"Answer\":7}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7, w=7\"],\"Answer\":7}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,4,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=7 Succeeded, w=7\"],\"Answer\":7}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\"],\"Answer\":7}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,4,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=7]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=7 Succeeded, w=7\"],\"Answer\":7}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,40],[0,5,57],[1,3,87],[1,4,62],[1,5,10],[2,4,30],[2,5,88],[2,6,4],[3,5,85],[4,5,0],[5,6,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,57],[1,3,87],[1,4,62],[1,5,10],[2,4,30],[2,5,88],[2,6,4],[3,5,85],[4,5,0],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,57],[1,3,87],[1,4,62],[1,5,10],[2,4,30],[2,5,88],[2,6,4],[3,5,85],[4,5,0],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,6)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (3,5)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,57],[1,3,87],[1,4,62],[1,5,10],[2,4,30],[2,5,88],[2,6,4],[3,5,85],[4,5,0],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0, w=0\",\"Add (2,6)=4, w=4\",\"Add (1,5)=10, w=14\",\"Add (2,4)=30, w=44\",\"Add (0,1)=40, w=84\",\"Add (3,5)=85, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,57],[1,3,87],[1,4,62],[1,5,10],[2,4,30],[2,5,88],[2,6,4],[3,5,85],[4,5,0],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=0 Succeeded, w=0\",\"Add (2,6)=4 Succeeded, w=4\",\"Add (1,5)=10 Succeeded, w=14\",\"Add (2,4)=30 Succeeded, w=44\",\"Add (0,1)=40 Succeeded, w=84\",\"Add (0,5)=57 Failed, w=84\",\"Add (5,6)=61 Failed, w=84\",\"Add (1,4)=62 Failed, w=84\",\"Add (3,5)=85 Succeeded, w=169\",\"Add (1,3)=87 Failed, w=169\",\"Add (2,5)=88 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,57],[1,3,87],[1,4,62],[1,5,10],[2,4,30],[2,5,88],[2,6,4],[3,5,85],[4,5,0],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(2,6)=4,(1,5)=10,(2,4)=30,(0,1)=40,(0,5)=57,(5,6)=61,(1,4)=62,(3,5)=85,(1,3)=87,(2,5)=88]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=4, Add (1,5)=10 Succeeded, w=14\",\"Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=44\",\"Find(0)=0, Find(1)=2, Add (0,1)=40 Succeeded, w=84\",\"Find(0)=2, Find(5)=2, Add (0,5)=57 Failed, w=84\",\"Find(5)=2, Find(6)=2, Add (5,6)=61 Failed, w=84\",\"Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=84\",\"Find(3)=3, Find(5)=2, Add (3,5)=85 Succeeded, w=169\",\"Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=169\",\"Find(2)=2, Find(5)=2, Add (2,5)=88 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,40],[0,5,57],[1,3,87],[1,4,62],[1,5,10],[2,4,30],[2,5,88],[2,6,4],[3,5,85],[4,5,0],[5,6,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=0,(2,6)=4,(1,5)=10,(2,4)=30,(0,1)=40,(0,5)=57,(5,6)=61,(1,4)=62,(3,5)=85,(1,3)=87,(2,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(1)=1, Find(5)=4, Add (1,5)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 2, 5: 4, 6: 2}, Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 4, 6: 2}, Find(0)=0, Find(1)=2, Add (0,1)=40 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=57 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=61 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=3, Find(5)=2, Add (3,5)=85 Succeeded, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=87 Failed, w=169\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=88 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,19],[1,2,74],[1,3,42],[2,3,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[1,2,74],[1,3,42],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[1,2,74],[1,3,42],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[1,2,74],[1,3,42],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=19, w=19\",\"Add (1,3)=42, w=61\",\"Add (1,2)=74, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[1,2,74],[1,3,42],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=19 Succeeded, w=19\",\"Add (1,3)=42 Succeeded, w=61\",\"Add (1,2)=74 Succeeded, w=135\",\"Add (2,3)=88 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[1,2,74],[1,3,42],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=19,(1,3)=42,(1,2)=74,(2,3)=88]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=61\",\"Find(1)=0, Find(2)=2, Add (1,2)=74 Succeeded, w=135\",\"Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[1,2,74],[1,3,42],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=19,(1,3)=42,(1,2)=74,(2,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=74 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=88 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,97],[0,2,57],[0,3,8],[1,2,69],[1,3,26],[2,3,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,57],[0,3,8],[1,2,69],[1,3,26],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,57],[0,3,8],[1,2,69],[1,3,26],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,57],[0,3,8],[1,2,69],[1,3,26],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8, w=8\",\"Add (1,3)=26, w=34\",\"Add (0,2)=57, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,57],[0,3,8],[1,2,69],[1,3,26],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=8 Succeeded, w=8\",\"Add (1,3)=26 Succeeded, w=34\",\"Add (0,2)=57 Succeeded, w=91\",\"Add (2,3)=68 Failed, w=91\",\"Add (1,2)=69 Failed, w=91\",\"Add (0,1)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,57],[0,3,8],[1,2,69],[1,3,26],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,3)=26,(0,2)=57,(2,3)=68,(1,2)=69,(0,1)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=0, Add (1,3)=26 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=91\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=91\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=91\",\"Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,97],[0,2,57],[0,3,8],[1,2,69],[1,3,26],[2,3,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=8,(1,3)=26,(0,2)=57,(2,3)=68,(1,2)=69,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=26 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=57 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,16],[1,4,23],[2,4,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[1,4,23],[2,4,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[1,4,23],[2,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[1,4,23],[2,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16, w=16\",\"Add (1,4)=23, w=39\",\"Add (2,4)=23, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[1,4,23],[2,4,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16 Succeeded, w=16\",\"Add (1,4)=23 Succeeded, w=39\",\"Add (2,4)=23 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[1,4,23],[2,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(1,4)=23,(2,4)=23]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=39\",\"Find(2)=0, Find(4)=1, Add (2,4)=23 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,16],[1,4,23],[2,4,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(1,4)=23,(2,4)=23]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(2)=0, Find(4)=1, Add (2,4)=23 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,90],[0,2,44],[0,3,49],[0,5,70],[1,2,69],[1,5,43],[2,4,76],[2,5,72],[3,4,16],[3,5,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,44],[0,3,49],[0,5,70],[1,2,69],[1,5,43],[2,4,76],[2,5,72],[3,4,16],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,44],[0,3,49],[0,5,70],[1,2,69],[1,5,43],[2,4,76],[2,5,72],[3,4,16],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,44],[0,3,49],[0,5,70],[1,2,69],[1,5,43],[2,4,76],[2,5,72],[3,4,16],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16, w=16\",\"Add (1,5)=43, w=59\",\"Add (0,2)=44, w=103\",\"Add (0,3)=49, w=152\",\"Add (1,2)=69, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,44],[0,3,49],[0,5,70],[1,2,69],[1,5,43],[2,4,76],[2,5,72],[3,4,16],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=16 Succeeded, w=16\",\"Add (1,5)=43 Succeeded, w=59\",\"Add (0,2)=44 Succeeded, w=103\",\"Add (0,3)=49 Succeeded, w=152\",\"Add (1,2)=69 Succeeded, w=221\",\"Add (0,5)=70 Failed, w=221\",\"Add (2,5)=72 Failed, w=221\",\"Add (2,4)=76 Failed, w=221\",\"Add (0,1)=90 Failed, w=221\",\"Add (3,5)=94 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,44],[0,3,49],[0,5,70],[1,2,69],[1,5,43],[2,4,76],[2,5,72],[3,4,16],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(1,5)=43,(0,2)=44,(0,3)=49,(1,2)=69,(0,5)=70,(2,5)=72,(2,4)=76,(0,1)=90,(3,5)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Find(1)=1, Find(5)=5, Add (1,5)=43 Succeeded, w=59\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=103\",\"Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=152\",\"Find(1)=1, Find(2)=0, Add (1,2)=69 Succeeded, w=221\",\"Find(0)=0, Find(5)=0, Add (0,5)=70 Failed, w=221\",\"Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=221\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=221\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=221\",\"Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,90],[0,2,44],[0,3,49],[0,5,70],[1,2,69],[1,5,43],[2,4,76],[2,5,72],[3,4,16],[3,5,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=16,(1,5)=43,(0,2)=44,(0,3)=49,(1,2)=69,(0,5)=70,(2,5)=72,(2,4)=76,(0,1)=90,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=43 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=103\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 1}, Find(1)=1, Find(2)=0, Add (1,2)=69 Succeeded, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=70 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=72 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=94 Failed, w=221\"],\"Answer\":221}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,62],[0,2,62],[0,3,68],[0,5,21],[0,6,34],[0,7,0],[1,2,25],[1,3,24],[1,5,2],[1,7,92],[2,3,7],[2,4,90],[2,5,60],[2,6,14],[2,7,62],[3,5,52],[3,6,63],[4,5,6],[4,6,32],[4,7,24],[6,7,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,62],[0,3,68],[0,5,21],[0,6,34],[0,7,0],[1,2,25],[1,3,24],[1,5,2],[1,7,92],[2,3,7],[2,4,90],[2,5,60],[2,6,14],[2,7,62],[3,5,52],[3,6,63],[4,5,6],[4,6,32],[4,7,24],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,62],[0,3,68],[0,5,21],[0,6,34],[0,7,0],[1,2,25],[1,3,24],[1,5,2],[1,7,92],[2,3,7],[2,4,90],[2,5,60],[2,6,14],[2,7,62],[3,5,52],[3,6,63],[4,5,6],[4,6,32],[4,7,24],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (2,6)\",\"Add (0,5)\",\"Add (1,3)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,62],[0,3,68],[0,5,21],[0,6,34],[0,7,0],[1,2,25],[1,3,24],[1,5,2],[1,7,92],[2,3,7],[2,4,90],[2,5,60],[2,6,14],[2,7,62],[3,5,52],[3,6,63],[4,5,6],[4,6,32],[4,7,24],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0, w=0\",\"Add (1,5)=2, w=2\",\"Add (4,5)=6, w=8\",\"Add (2,3)=7, w=15\",\"Add (2,6)=14, w=29\",\"Add (0,5)=21, w=50\",\"Add (1,3)=24, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,62],[0,3,68],[0,5,21],[0,6,34],[0,7,0],[1,2,25],[1,3,24],[1,5,2],[1,7,92],[2,3,7],[2,4,90],[2,5,60],[2,6,14],[2,7,62],[3,5,52],[3,6,63],[4,5,6],[4,6,32],[4,7,24],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=0 Succeeded, w=0\",\"Add (1,5)=2 Succeeded, w=2\",\"Add (4,5)=6 Succeeded, w=8\",\"Add (2,3)=7 Succeeded, w=15\",\"Add (2,6)=14 Succeeded, w=29\",\"Add (0,5)=21 Succeeded, w=50\",\"Add (1,3)=24 Succeeded, w=74\",\"Add (4,7)=24 Failed, w=74\",\"Add (1,2)=25 Failed, w=74\",\"Add (4,6)=32 Failed, w=74\",\"Add (0,6)=34 Failed, w=74\",\"Add (3,5)=52 Failed, w=74\",\"Add (2,5)=60 Failed, w=74\",\"Add (0,1)=62 Failed, w=74\",\"Add (0,2)=62 Failed, w=74\",\"Add (2,7)=62 Failed, w=74\",\"Add (3,6)=63 Failed, w=74\",\"Add (0,3)=68 Failed, w=74\",\"Add (6,7)=68 Failed, w=74\",\"Add (2,4)=90 Failed, w=74\",\"Add (1,7)=92 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,62],[0,3,68],[0,5,21],[0,6,34],[0,7,0],[1,2,25],[1,3,24],[1,5,2],[1,7,92],[2,3,7],[2,4,90],[2,5,60],[2,6,14],[2,7,62],[3,5,52],[3,6,63],[4,5,6],[4,6,32],[4,7,24],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(1,5)=2,(4,5)=6,(2,3)=7,(2,6)=14,(0,5)=21,(1,3)=24,(4,7)=24,(1,2)=25,(4,6)=32,(0,6)=34,(3,5)=52,(2,5)=60,(0,1)=62,(0,2)=62,(2,7)=62,(3,6)=63,(0,3)=68,(6,7)=68,(2,4)=90,(1,7)=92]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=1, Add (4,5)=6 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=15\",\"Find(2)=2, Find(6)=6, Add (2,6)=14 Succeeded, w=29\",\"Find(0)=0, Find(5)=1, Add (0,5)=21 Succeeded, w=50\",\"Find(1)=0, Find(3)=2, Add (1,3)=24 Succeeded, w=74\",\"Find(4)=0, Find(7)=0, Add (4,7)=24 Failed, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=25 Failed, w=74\",\"Find(4)=0, Find(6)=0, Add (4,6)=32 Failed, w=74\",\"Find(0)=0, Find(6)=0, Add (0,6)=34 Failed, w=74\",\"Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=74\",\"Find(2)=0, Find(5)=0, Add (2,5)=60 Failed, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=62 Failed, w=74\",\"Find(0)=0, Find(2)=0, Add (0,2)=62 Failed, w=74\",\"Find(2)=0, Find(7)=0, Add (2,7)=62 Failed, w=74\",\"Find(3)=0, Find(6)=0, Add (3,6)=63 Failed, w=74\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=74\",\"Find(6)=0, Find(7)=0, Add (6,7)=68 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=74\",\"Find(1)=0, Find(7)=0, Add (1,7)=92 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,62],[0,2,62],[0,3,68],[0,5,21],[0,6,34],[0,7,0],[1,2,25],[1,3,24],[1,5,2],[1,7,92],[2,3,7],[2,4,90],[2,5,60],[2,6,14],[2,7,62],[3,5,52],[3,6,63],[4,5,6],[4,6,32],[4,7,24],[6,7,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=0,(1,5)=2,(4,5)=6,(2,3)=7,(2,6)=14,(0,5)=21,(1,3)=24,(4,7)=24,(1,2)=25,(4,6)=32,(0,6)=34,(3,5)=52,(2,5)=60,(0,1)=62,(0,2)=62,(2,7)=62,(3,6)=63,(0,3)=68,(6,7)=68,(2,4)=90,(1,7)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 0}, Find(1)=1, Find(5)=5, Add (1,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6, 7: 0}, Find(4)=4, Find(5)=1, Add (4,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6, 7: 0}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2, 7: 0}, Find(2)=2, Find(6)=6, Add (2,6)=14 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2, 7: 0}, Find(0)=0, Find(5)=1, Add (0,5)=21 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 1, 5: 1, 6: 2, 7: 0}, Find(1)=0, Find(3)=2, Add (1,3)=24 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 1, 6: 2, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=24 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 1, 6: 2, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=25 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 1, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=32 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 1, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=34 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=52 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=60 Failed, w=74\",\"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)=62 Failed, w=74\",\"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)=62 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=62 Failed, w=74\",\"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)=63 Failed, w=74\",\"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)=68 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=68 Failed, w=74\",\"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)=90 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=92 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,30],[0,2,28],[0,3,85],[0,4,23],[0,5,78],[0,6,25],[0,7,90],[1,2,83],[1,3,73],[1,4,41],[1,5,75],[1,7,37],[2,3,28],[2,5,97],[2,6,62],[3,4,69],[3,5,58],[3,6,14],[3,7,89],[4,5,78],[4,6,86],[4,7,78],[5,6,81],[5,7,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,28],[0,3,85],[0,4,23],[0,5,78],[0,6,25],[0,7,90],[1,2,83],[1,3,73],[1,4,41],[1,5,75],[1,7,37],[2,3,28],[2,5,97],[2,6,62],[3,4,69],[3,5,58],[3,6,14],[3,7,89],[4,5,78],[4,6,86],[4,7,78],[5,6,81],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,28],[0,3,85],[0,4,23],[0,5,78],[0,6,25],[0,7,90],[1,2,83],[1,3,73],[1,4,41],[1,5,75],[1,7,37],[2,3,28],[2,5,97],[2,6,62],[3,4,69],[3,5,58],[3,6,14],[3,7,89],[4,5,78],[4,6,86],[4,7,78],[5,6,81],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,4)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (1,7)\",\"Add (5,7)\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,28],[0,3,85],[0,4,23],[0,5,78],[0,6,25],[0,7,90],[1,2,83],[1,3,73],[1,4,41],[1,5,75],[1,7,37],[2,3,28],[2,5,97],[2,6,62],[3,4,69],[3,5,58],[3,6,14],[3,7,89],[4,5,78],[4,6,86],[4,7,78],[5,6,81],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=14, w=14\",\"Add (0,4)=23, w=37\",\"Add (0,6)=25, w=62\",\"Add (0,2)=28, w=90\",\"Add (0,1)=30, w=120\",\"Add (1,7)=37, w=157\",\"Add (5,7)=46, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,28],[0,3,85],[0,4,23],[0,5,78],[0,6,25],[0,7,90],[1,2,83],[1,3,73],[1,4,41],[1,5,75],[1,7,37],[2,3,28],[2,5,97],[2,6,62],[3,4,69],[3,5,58],[3,6,14],[3,7,89],[4,5,78],[4,6,86],[4,7,78],[5,6,81],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=14 Succeeded, w=14\",\"Add (0,4)=23 Succeeded, w=37\",\"Add (0,6)=25 Succeeded, w=62\",\"Add (0,2)=28 Succeeded, w=90\",\"Add (2,3)=28 Failed, w=90\",\"Add (0,1)=30 Succeeded, w=120\",\"Add (1,7)=37 Succeeded, w=157\",\"Add (1,4)=41 Failed, w=157\",\"Add (5,7)=46 Succeeded, w=203\",\"Add (3,5)=58 Failed, w=203\",\"Add (2,6)=62 Failed, w=203\",\"Add (3,4)=69 Failed, w=203\",\"Add (1,3)=73 Failed, w=203\",\"Add (1,5)=75 Failed, w=203\",\"Add (0,5)=78 Failed, w=203\",\"Add (4,5)=78 Failed, w=203\",\"Add (4,7)=78 Failed, w=203\",\"Add (5,6)=81 Failed, w=203\",\"Add (1,2)=83 Failed, w=203\",\"Add (0,3)=85 Failed, w=203\",\"Add (4,6)=86 Failed, w=203\",\"Add (3,7)=89 Failed, w=203\",\"Add (0,7)=90 Failed, w=203\",\"Add (2,5)=97 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,28],[0,3,85],[0,4,23],[0,5,78],[0,6,25],[0,7,90],[1,2,83],[1,3,73],[1,4,41],[1,5,75],[1,7,37],[2,3,28],[2,5,97],[2,6,62],[3,4,69],[3,5,58],[3,6,14],[3,7,89],[4,5,78],[4,6,86],[4,7,78],[5,6,81],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=14,(0,4)=23,(0,6)=25,(0,2)=28,(2,3)=28,(0,1)=30,(1,7)=37,(1,4)=41,(5,7)=46,(3,5)=58,(2,6)=62,(3,4)=69,(1,3)=73,(1,5)=75,(0,5)=78,(4,5)=78,(4,7)=78,(5,6)=81,(1,2)=83,(0,3)=85,(4,6)=86,(3,7)=89,(0,7)=90,(2,5)=97]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=14\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=37\",\"Find(0)=0, Find(6)=3, Add (0,6)=25 Succeeded, w=62\",\"Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=90\",\"Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=90\",\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=120\",\"Find(1)=0, Find(7)=7, Add (1,7)=37 Succeeded, w=157\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=157\",\"Find(5)=5, Find(7)=0, Add (5,7)=46 Succeeded, w=203\",\"Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=203\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=203\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=203\",\"Find(1)=0, Find(3)=0, Add (1,3)=73 Failed, w=203\",\"Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=203\",\"Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=203\",\"Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=203\",\"Find(4)=0, Find(7)=0, Add (4,7)=78 Failed, w=203\",\"Find(5)=0, Find(6)=0, Add (5,6)=81 Failed, w=203\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=203\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=203\",\"Find(4)=0, Find(6)=0, Add (4,6)=86 Failed, w=203\",\"Find(3)=0, Find(7)=0, Add (3,7)=89 Failed, w=203\",\"Find(0)=0, Find(7)=0, Add (0,7)=90 Failed, w=203\",\"Find(2)=0, Find(5)=0, Add (2,5)=97 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,30],[0,2,28],[0,3,85],[0,4,23],[0,5,78],[0,6,25],[0,7,90],[1,2,83],[1,3,73],[1,4,41],[1,5,75],[1,7,37],[2,3,28],[2,5,97],[2,6,62],[3,4,69],[3,5,58],[3,6,14],[3,7,89],[4,5,78],[4,6,86],[4,7,78],[5,6,81],[5,7,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=14,(0,4)=23,(0,6)=25,(0,2)=28,(2,3)=28,(0,1)=30,(1,7)=37,(1,4)=41,(5,7)=46,(3,5)=58,(2,6)=62,(3,4)=69,(1,3)=73,(1,5)=75,(0,5)=78,(4,5)=78,(4,7)=78,(5,6)=81,(1,2)=83,(0,3)=85,(4,6)=86,(3,7)=89,(0,7)=90,(2,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(6)=3, Add (0,6)=25 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=28 Succeeded, w=90\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3, 7: 7}, Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=37 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=46 Succeeded, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=58 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=203\",\"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=203\",\"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)=73 Failed, w=203\",\"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)=75 Failed, w=203\",\"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)=78 Failed, w=203\",\"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)=78 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=78 Failed, w=203\",\"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)=81 Failed, w=203\",\"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)=83 Failed, w=203\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=203\",\"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)=86 Failed, w=203\",\"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)=89 Failed, w=203\",\"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)=90 Failed, w=203\",\"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)=97 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,63],[2,3,92],[2,4,68],[3,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[2,3,92],[2,4,68],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[2,3,92],[2,4,68],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[2,3,92],[2,4,68],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (0,1)=63, w=69\",\"Add (2,4)=68, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[2,3,92],[2,4,68],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (0,1)=63 Succeeded, w=69\",\"Add (2,4)=68 Succeeded, w=137\",\"Add (2,3)=92 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[2,3,92],[2,4,68],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(0,1)=63,(2,4)=68,(2,3)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=69\",\"Find(2)=2, Find(4)=3, Add (2,4)=68 Succeeded, w=137\",\"Find(2)=3, Find(3)=3, Add (2,3)=92 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,63],[2,3,92],[2,4,68],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(0,1)=63,(2,4)=68,(2,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=68 Succeeded, w=137\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=92 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,1],[0,3,31],[1,2,5],[2,3,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,31],[1,2,5],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,31],[1,2,5],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,31],[1,2,5],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (1,2)=5, w=6\",\"Add (0,3)=31, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,31],[1,2,5],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (1,2)=5 Succeeded, w=6\",\"Add (0,3)=31 Succeeded, w=37\",\"Add (2,3)=82 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,31],[1,2,5],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,2)=5,(0,3)=31,(2,3)=82]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=0, Add (1,2)=5 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=37\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,31],[1,2,5],[2,3,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,2)=5,(0,3)=31,(2,3)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,32],[0,3,19],[0,4,94],[0,7,26],[1,2,74],[1,3,71],[1,4,29],[1,7,52],[2,3,69],[2,6,16],[2,7,95],[3,6,92],[4,5,60],[4,6,59],[4,7,89],[5,6,5],[5,7,72],[6,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,32],[0,3,19],[0,4,94],[0,7,26],[1,2,74],[1,3,71],[1,4,29],[1,7,52],[2,3,69],[2,6,16],[2,7,95],[3,6,92],[4,5,60],[4,6,59],[4,7,89],[5,6,5],[5,7,72],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,32],[0,3,19],[0,4,94],[0,7,26],[1,2,74],[1,3,71],[1,4,29],[1,7,52],[2,3,69],[2,6,16],[2,7,95],[3,6,92],[4,5,60],[4,6,59],[4,7,89],[5,6,5],[5,7,72],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (0,7)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (1,7)\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,32],[0,3,19],[0,4,94],[0,7,26],[1,2,74],[1,3,71],[1,4,29],[1,7,52],[2,3,69],[2,6,16],[2,7,95],[3,6,92],[4,5,60],[4,6,59],[4,7,89],[5,6,5],[5,7,72],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=5, w=5\",\"Add (2,6)=16, w=21\",\"Add (0,3)=19, w=40\",\"Add (0,7)=26, w=66\",\"Add (1,4)=29, w=95\",\"Add (0,2)=32, w=127\",\"Add (1,7)=52, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,32],[0,3,19],[0,4,94],[0,7,26],[1,2,74],[1,3,71],[1,4,29],[1,7,52],[2,3,69],[2,6,16],[2,7,95],[3,6,92],[4,5,60],[4,6,59],[4,7,89],[5,6,5],[5,7,72],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=5 Succeeded, w=5\",\"Add (2,6)=16 Succeeded, w=21\",\"Add (0,3)=19 Succeeded, w=40\",\"Add (0,7)=26 Succeeded, w=66\",\"Add (1,4)=29 Succeeded, w=95\",\"Add (0,2)=32 Succeeded, w=127\",\"Add (1,7)=52 Succeeded, w=179\",\"Add (4,6)=59 Failed, w=179\",\"Add (4,5)=60 Failed, w=179\",\"Add (2,3)=69 Failed, w=179\",\"Add (1,3)=71 Failed, w=179\",\"Add (5,7)=72 Failed, w=179\",\"Add (1,2)=74 Failed, w=179\",\"Add (4,7)=89 Failed, w=179\",\"Add (3,6)=92 Failed, w=179\",\"Add (6,7)=92 Failed, w=179\",\"Add (0,4)=94 Failed, w=179\",\"Add (2,7)=95 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,32],[0,3,19],[0,4,94],[0,7,26],[1,2,74],[1,3,71],[1,4,29],[1,7,52],[2,3,69],[2,6,16],[2,7,95],[3,6,92],[4,5,60],[4,6,59],[4,7,89],[5,6,5],[5,7,72],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=5,(2,6)=16,(0,3)=19,(0,7)=26,(1,4)=29,(0,2)=32,(1,7)=52,(4,6)=59,(4,5)=60,(2,3)=69,(1,3)=71,(5,7)=72,(1,2)=74,(4,7)=89,(3,6)=92,(6,7)=92,(0,4)=94,(2,7)=95]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=5, Add (2,6)=16 Succeeded, w=21\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=40\",\"Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=66\",\"Find(1)=1, Find(4)=4, Add (1,4)=29 Succeeded, w=95\",\"Find(0)=0, Find(2)=5, Add (0,2)=32 Succeeded, w=127\",\"Find(1)=1, Find(7)=0, Add (1,7)=52 Succeeded, w=179\",\"Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=179\",\"Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=179\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=179\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=179\",\"Find(5)=0, Find(7)=0, Add (5,7)=72 Failed, w=179\",\"Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=179\",\"Find(4)=0, Find(7)=0, Add (4,7)=89 Failed, w=179\",\"Find(3)=0, Find(6)=0, Add (3,6)=92 Failed, w=179\",\"Find(6)=0, Find(7)=0, Add (6,7)=92 Failed, w=179\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=179\",\"Find(2)=0, Find(7)=0, Add (2,7)=95 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,32],[0,3,19],[0,4,94],[0,7,26],[1,2,74],[1,3,71],[1,4,29],[1,7,52],[2,3,69],[2,6,16],[2,7,95],[3,6,92],[4,5,60],[4,6,59],[4,7,89],[5,6,5],[5,7,72],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=5,(2,6)=16,(0,3)=19,(0,7)=26,(1,4)=29,(0,2)=32,(1,7)=52,(4,6)=59,(4,5)=60,(2,3)=69,(1,3)=71,(5,7)=72,(1,2)=74,(4,7)=89,(3,6)=92,(6,7)=92,(0,4)=94,(2,7)=95]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(2)=2, Find(6)=5, Add (2,6)=16 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 0, 4: 4, 5: 5, 6: 5, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=26 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 0, 4: 1, 5: 5, 6: 5, 7: 0}, Find(1)=1, Find(4)=4, Add (1,4)=29 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 0, 4: 1, 5: 0, 6: 5, 7: 0}, Find(0)=0, Find(2)=5, Add (0,2)=32 Succeeded, w=127\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 1, 5: 0, 6: 5, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=52 Succeeded, w=179\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=59 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 5, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=60 Failed, w=179\",\"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)=69 Failed, w=179\",\"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)=71 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=72 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=89 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=92 Failed, w=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=92 Failed, w=179\",\"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=179\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=95 Failed, w=179\"],\"Answer\":179}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,30],[0,2,92],[1,3,96],[2,3,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,92],[1,3,96],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,92],[1,3,96],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,92],[1,3,96],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=30, w=30\",\"Add (2,3)=70, w=100\",\"Add (0,2)=92, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,92],[1,3,96],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=30 Succeeded, w=30\",\"Add (2,3)=70 Succeeded, w=100\",\"Add (0,2)=92 Succeeded, w=192\",\"Add (1,3)=96 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,92],[1,3,96],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=30,(2,3)=70,(0,2)=92,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=30\",\"Find(2)=2, Find(3)=3, Add (2,3)=70 Succeeded, w=100\",\"Find(0)=0, Find(2)=2, Add (0,2)=92 Succeeded, w=192\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,30],[0,2,92],[1,3,96],[2,3,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=30,(2,3)=70,(0,2)=92,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=70 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=92 Succeeded, w=192\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,59],[0,2,54],[1,2,53],[1,3,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,54],[1,2,53],[1,3,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,54],[1,2,53],[1,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,54],[1,2,53],[1,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=28, w=28\",\"Add (1,2)=53, w=81\",\"Add (0,2)=54, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,54],[1,2,53],[1,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=28 Succeeded, w=28\",\"Add (1,2)=53 Succeeded, w=81\",\"Add (0,2)=54 Succeeded, w=135\",\"Add (0,1)=59 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,54],[1,2,53],[1,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=28,(1,2)=53,(0,2)=54,(0,1)=59]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=28\",\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=81\",\"Find(0)=0, Find(2)=1, Add (0,2)=54 Succeeded, w=135\",\"Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,59],[0,2,54],[1,2,53],[1,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=28,(1,2)=53,(0,2)=54,(0,1)=59]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=54 Succeeded, w=135\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=59 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,96],[0,2,96],[0,3,55],[0,4,25],[0,6,74],[1,2,5],[1,3,0],[1,5,77],[1,6,86],[1,7,32],[2,3,55],[2,4,4],[2,5,24],[2,6,75],[2,7,78],[3,5,61],[3,6,3],[4,5,77],[4,6,16],[4,7,56],[5,6,86],[5,7,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,96],[0,3,55],[0,4,25],[0,6,74],[1,2,5],[1,3,0],[1,5,77],[1,6,86],[1,7,32],[2,3,55],[2,4,4],[2,5,24],[2,6,75],[2,7,78],[3,5,61],[3,6,3],[4,5,77],[4,6,16],[4,7,56],[5,6,86],[5,7,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,96],[0,3,55],[0,4,25],[0,6,74],[1,2,5],[1,3,0],[1,5,77],[1,6,86],[1,7,32],[2,3,55],[2,4,4],[2,5,24],[2,6,75],[2,7,78],[3,5,61],[3,6,3],[4,5,77],[4,6,16],[4,7,56],[5,6,86],[5,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (5,7)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,96],[0,3,55],[0,4,25],[0,6,74],[1,2,5],[1,3,0],[1,5,77],[1,6,86],[1,7,32],[2,3,55],[2,4,4],[2,5,24],[2,6,75],[2,7,78],[3,5,61],[3,6,3],[4,5,77],[4,6,16],[4,7,56],[5,6,86],[5,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (3,6)=3, w=3\",\"Add (2,4)=4, w=7\",\"Add (1,2)=5, w=12\",\"Add (2,5)=24, w=36\",\"Add (0,4)=25, w=61\",\"Add (5,7)=28, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,96],[0,3,55],[0,4,25],[0,6,74],[1,2,5],[1,3,0],[1,5,77],[1,6,86],[1,7,32],[2,3,55],[2,4,4],[2,5,24],[2,6,75],[2,7,78],[3,5,61],[3,6,3],[4,5,77],[4,6,16],[4,7,56],[5,6,86],[5,7,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (3,6)=3 Succeeded, w=3\",\"Add (2,4)=4 Succeeded, w=7\",\"Add (1,2)=5 Succeeded, w=12\",\"Add (4,6)=16 Failed, w=12\",\"Add (2,5)=24 Succeeded, w=36\",\"Add (0,4)=25 Succeeded, w=61\",\"Add (5,7)=28 Succeeded, w=89\",\"Add (1,7)=32 Failed, w=89\",\"Add (0,3)=55 Failed, w=89\",\"Add (2,3)=55 Failed, w=89\",\"Add (4,7)=56 Failed, w=89\",\"Add (3,5)=61 Failed, w=89\",\"Add (0,6)=74 Failed, w=89\",\"Add (2,6)=75 Failed, w=89\",\"Add (1,5)=77 Failed, w=89\",\"Add (4,5)=77 Failed, w=89\",\"Add (2,7)=78 Failed, w=89\",\"Add (1,6)=86 Failed, w=89\",\"Add (5,6)=86 Failed, w=89\",\"Add (0,1)=96 Failed, w=89\",\"Add (0,2)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,96],[0,3,55],[0,4,25],[0,6,74],[1,2,5],[1,3,0],[1,5,77],[1,6,86],[1,7,32],[2,3,55],[2,4,4],[2,5,24],[2,6,75],[2,7,78],[3,5,61],[3,6,3],[4,5,77],[4,6,16],[4,7,56],[5,6,86],[5,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(3,6)=3,(2,4)=4,(1,2)=5,(4,6)=16,(2,5)=24,(0,4)=25,(5,7)=28,(1,7)=32,(0,3)=55,(2,3)=55,(4,7)=56,(3,5)=61,(0,6)=74,(2,6)=75,(1,5)=77,(4,5)=77,(2,7)=78,(1,6)=86,(5,6)=86,(0,1)=96,(0,2)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(3)=1, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=12\",\"Find(4)=1, Find(6)=1, Add (4,6)=16 Failed, w=12\",\"Find(2)=1, Find(5)=5, Add (2,5)=24 Succeeded, w=36\",\"Find(0)=0, Find(4)=1, Add (0,4)=25 Succeeded, w=61\",\"Find(5)=1, Find(7)=7, Add (5,7)=28 Succeeded, w=89\",\"Find(1)=1, Find(7)=1, Add (1,7)=32 Failed, w=89\",\"Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=89\",\"Find(2)=1, Find(3)=1, Add (2,3)=55 Failed, w=89\",\"Find(4)=1, Find(7)=1, Add (4,7)=56 Failed, w=89\",\"Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=89\",\"Find(0)=1, Find(6)=1, Add (0,6)=74 Failed, w=89\",\"Find(2)=1, Find(6)=1, Add (2,6)=75 Failed, w=89\",\"Find(1)=1, Find(5)=1, Add (1,5)=77 Failed, w=89\",\"Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=89\",\"Find(2)=1, Find(7)=1, Add (2,7)=78 Failed, w=89\",\"Find(1)=1, Find(6)=1, Add (1,6)=86 Failed, w=89\",\"Find(5)=1, Find(6)=1, Add (5,6)=86 Failed, w=89\",\"Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=89\",\"Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,96],[0,2,96],[0,3,55],[0,4,25],[0,6,74],[1,2,5],[1,3,0],[1,5,77],[1,6,86],[1,7,32],[2,3,55],[2,4,4],[2,5,24],[2,6,75],[2,7,78],[3,5,61],[3,6,3],[4,5,77],[4,6,16],[4,7,56],[5,6,86],[5,7,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(3,6)=3,(2,4)=4,(1,2)=5,(4,6)=16,(2,5)=24,(0,4)=25,(5,7)=28,(1,7)=32,(0,3)=55,(2,3)=55,(4,7)=56,(3,5)=61,(0,6)=74,(2,6)=75,(1,5)=77,(4,5)=77,(2,7)=78,(1,6)=86,(5,6)=86,(0,1)=96,(0,2)=96]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(3)=1, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 1, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 7}, Find(4)=1, Find(6)=1, Add (4,6)=16 Failed, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(5)=5, Add (2,5)=24 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(0)=0, Find(4)=1, Add (0,4)=25 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=28 Succeeded, w=89\",\"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)=32 Failed, w=89\",\"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)=55 Failed, w=89\",\"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)=55 Failed, w=89\",\"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)=56 Failed, w=89\",\"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)=61 Failed, w=89\",\"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)=74 Failed, w=89\",\"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)=75 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=77 Failed, w=89\",\"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)=77 Failed, w=89\",\"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=89\",\"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)=86 Failed, w=89\",\"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)=86 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=96 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,64],[0,3,19],[0,4,66],[1,3,21],[2,3,5],[2,4,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,3,19],[0,4,66],[1,3,21],[2,3,5],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,3,19],[0,4,66],[1,3,21],[2,3,5],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,3,19],[0,4,66],[1,3,21],[2,3,5],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (0,3)=19, w=24\",\"Add (1,3)=21, w=45\",\"Add (0,4)=66, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,3,19],[0,4,66],[1,3,21],[2,3,5],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (0,3)=19 Succeeded, w=24\",\"Add (1,3)=21 Succeeded, w=45\",\"Add (0,2)=64 Failed, w=45\",\"Add (0,4)=66 Succeeded, w=111\",\"Add (2,4)=69 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,3,19],[0,4,66],[1,3,21],[2,3,5],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,3)=19,(1,3)=21,(0,2)=64,(0,4)=66,(2,4)=69]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=24\",\"Find(1)=1, Find(3)=2, Add (1,3)=21 Succeeded, w=45\",\"Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=45\",\"Find(0)=2, Find(4)=4, Add (0,4)=66 Succeeded, w=111\",\"Find(2)=2, Find(4)=2, Add (2,4)=69 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,64],[0,3,19],[0,4,66],[1,3,21],[2,3,5],[2,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(0,3)=19,(1,3)=21,(0,2)=64,(0,4)=66,(2,4)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=19 Succeeded, w=24\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=21 Succeeded, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4}, Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=45\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=4, Add (0,4)=66 Succeeded, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=69 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,69],[0,2,81],[0,3,94],[1,2,54],[1,3,22],[1,4,53],[2,3,24],[2,4,30],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,81],[0,3,94],[1,2,54],[1,3,22],[1,4,53],[2,3,24],[2,4,30],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,81],[0,3,94],[1,2,54],[1,3,22],[1,4,53],[2,3,24],[2,4,30],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,81],[0,3,94],[1,2,54],[1,3,22],[1,4,53],[2,3,24],[2,4,30],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11, w=11\",\"Add (1,3)=22, w=33\",\"Add (2,3)=24, w=57\",\"Add (0,1)=69, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,81],[0,3,94],[1,2,54],[1,3,22],[1,4,53],[2,3,24],[2,4,30],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11 Succeeded, w=11\",\"Add (1,3)=22 Succeeded, w=33\",\"Add (2,3)=24 Succeeded, w=57\",\"Add (2,4)=30 Failed, w=57\",\"Add (1,4)=53 Failed, w=57\",\"Add (1,2)=54 Failed, w=57\",\"Add (0,1)=69 Succeeded, w=126\",\"Add (0,2)=81 Failed, w=126\",\"Add (0,3)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,81],[0,3,94],[1,2,54],[1,3,22],[1,4,53],[2,3,24],[2,4,30],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(1,3)=22,(2,3)=24,(2,4)=30,(1,4)=53,(1,2)=54,(0,1)=69,(0,2)=81,(0,3)=94]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=33\",\"Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=57\",\"Find(2)=3, Find(4)=3, Add (2,4)=30 Failed, w=57\",\"Find(1)=3, Find(4)=3, Add (1,4)=53 Failed, w=57\",\"Find(1)=3, Find(2)=3, Add (1,2)=54 Failed, w=57\",\"Find(0)=0, Find(1)=3, Add (0,1)=69 Succeeded, w=126\",\"Find(0)=3, Find(2)=3, Add (0,2)=81 Failed, w=126\",\"Find(0)=3, Find(3)=3, Add (0,3)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,81],[0,3,94],[1,2,54],[1,3,22],[1,4,53],[2,3,24],[2,4,30],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(1,3)=22,(2,3)=24,(2,4)=30,(1,4)=53,(1,2)=54,(0,1)=69,(0,2)=81,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=22 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=24 Succeeded, w=57\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=30 Failed, w=57\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=53 Failed, w=57\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=54 Failed, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(1)=3, Add (0,1)=69 Succeeded, w=126\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=81 Failed, w=126\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,78],[0,2,87],[0,3,15],[1,2,17],[1,3,68],[2,3,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,87],[0,3,15],[1,2,17],[1,3,68],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,87],[0,3,15],[1,2,17],[1,3,68],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,87],[0,3,15],[1,2,17],[1,3,68],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,3)=15, w=16\",\"Add (1,2)=17, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,87],[0,3,15],[1,2,17],[1,3,68],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,3)=15 Succeeded, w=16\",\"Add (1,2)=17 Succeeded, w=33\",\"Add (1,3)=68 Failed, w=33\",\"Add (0,1)=78 Failed, w=33\",\"Add (0,2)=87 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,87],[0,3,15],[1,2,17],[1,3,68],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=15,(1,2)=17,(1,3)=68,(0,1)=78,(0,2)=87]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=2, Add (0,3)=15 Succeeded, w=16\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=33\",\"Find(1)=2, Find(3)=2, Add (1,3)=68 Failed, w=33\",\"Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=33\",\"Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[0,2,87],[0,3,15],[1,2,17],[1,3,68],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=15,(1,2)=17,(1,3)=68,(0,1)=78,(0,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=15 Succeeded, w=16\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=33\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=68 Failed, w=33\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=78 Failed, w=33\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=87 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,98],[0,3,68],[1,3,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,68],[1,3,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,68],[1,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,68],[1,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12, w=12\",\"Add (0,3)=68, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,68],[1,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=12 Succeeded, w=12\",\"Add (0,3)=68 Succeeded, w=80\",\"Add (0,1)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,68],[1,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(0,3)=68,(0,1)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(3)=1, Add (0,3)=68 Succeeded, w=80\",\"Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,98],[0,3,68],[1,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=12,(0,3)=68,(0,1)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=12 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=68 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=98 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,100],[0,2,15],[0,3,95],[0,4,20],[0,5,92],[0,6,51],[0,7,26],[1,2,33],[1,3,26],[1,4,19],[1,5,34],[1,6,78],[1,7,1],[2,3,93],[2,4,49],[2,5,22],[2,7,95],[3,4,54],[3,5,37],[3,6,46],[3,7,24],[4,5,32],[4,6,10],[4,7,14],[5,6,71],[5,7,17],[6,7,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,15],[0,3,95],[0,4,20],[0,5,92],[0,6,51],[0,7,26],[1,2,33],[1,3,26],[1,4,19],[1,5,34],[1,6,78],[1,7,1],[2,3,93],[2,4,49],[2,5,22],[2,7,95],[3,4,54],[3,5,37],[3,6,46],[3,7,24],[4,5,32],[4,6,10],[4,7,14],[5,6,71],[5,7,17],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,15],[0,3,95],[0,4,20],[0,5,92],[0,6,51],[0,7,26],[1,2,33],[1,3,26],[1,4,19],[1,5,34],[1,6,78],[1,7,1],[2,3,93],[2,4,49],[2,5,22],[2,7,95],[3,4,54],[3,5,37],[3,6,46],[3,7,24],[4,5,32],[4,6,10],[4,7,14],[5,6,71],[5,7,17],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (4,6)\",\"Add (4,7)\",\"Add (0,2)\",\"Add (5,7)\",\"Add (0,4)\",\"Add (3,7)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,15],[0,3,95],[0,4,20],[0,5,92],[0,6,51],[0,7,26],[1,2,33],[1,3,26],[1,4,19],[1,5,34],[1,6,78],[1,7,1],[2,3,93],[2,4,49],[2,5,22],[2,7,95],[3,4,54],[3,5,37],[3,6,46],[3,7,24],[4,5,32],[4,6,10],[4,7,14],[5,6,71],[5,7,17],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=1, w=1\",\"Add (4,6)=10, w=11\",\"Add (4,7)=14, w=25\",\"Add (0,2)=15, w=40\",\"Add (5,7)=17, w=57\",\"Add (0,4)=20, w=77\",\"Add (3,7)=24, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,15],[0,3,95],[0,4,20],[0,5,92],[0,6,51],[0,7,26],[1,2,33],[1,3,26],[1,4,19],[1,5,34],[1,6,78],[1,7,1],[2,3,93],[2,4,49],[2,5,22],[2,7,95],[3,4,54],[3,5,37],[3,6,46],[3,7,24],[4,5,32],[4,6,10],[4,7,14],[5,6,71],[5,7,17],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=1 Succeeded, w=1\",\"Add (4,6)=10 Succeeded, w=11\",\"Add (4,7)=14 Succeeded, w=25\",\"Add (0,2)=15 Succeeded, w=40\",\"Add (5,7)=17 Succeeded, w=57\",\"Add (1,4)=19 Failed, w=57\",\"Add (0,4)=20 Succeeded, w=77\",\"Add (2,5)=22 Failed, w=77\",\"Add (3,7)=24 Succeeded, w=101\",\"Add (0,7)=26 Failed, w=101\",\"Add (1,3)=26 Failed, w=101\",\"Add (4,5)=32 Failed, w=101\",\"Add (1,2)=33 Failed, w=101\",\"Add (1,5)=34 Failed, w=101\",\"Add (3,5)=37 Failed, w=101\",\"Add (6,7)=44 Failed, w=101\",\"Add (3,6)=46 Failed, w=101\",\"Add (2,4)=49 Failed, w=101\",\"Add (0,6)=51 Failed, w=101\",\"Add (3,4)=54 Failed, w=101\",\"Add (5,6)=71 Failed, w=101\",\"Add (1,6)=78 Failed, w=101\",\"Add (0,5)=92 Failed, w=101\",\"Add (2,3)=93 Failed, w=101\",\"Add (0,3)=95 Failed, w=101\",\"Add (2,7)=95 Failed, w=101\",\"Add (0,1)=100 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,15],[0,3,95],[0,4,20],[0,5,92],[0,6,51],[0,7,26],[1,2,33],[1,3,26],[1,4,19],[1,5,34],[1,6,78],[1,7,1],[2,3,93],[2,4,49],[2,5,22],[2,7,95],[3,4,54],[3,5,37],[3,6,46],[3,7,24],[4,5,32],[4,6,10],[4,7,14],[5,6,71],[5,7,17],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=1,(4,6)=10,(4,7)=14,(0,2)=15,(5,7)=17,(1,4)=19,(0,4)=20,(2,5)=22,(3,7)=24,(0,7)=26,(1,3)=26,(4,5)=32,(1,2)=33,(1,5)=34,(3,5)=37,(6,7)=44,(3,6)=46,(2,4)=49,(0,6)=51,(3,4)=54,(5,6)=71,(1,6)=78,(0,5)=92,(2,3)=93,(0,3)=95,(2,7)=95,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=6, Add (4,6)=10 Succeeded, w=11\",\"Find(4)=4, Find(7)=1, Add (4,7)=14 Succeeded, w=25\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=40\",\"Find(5)=5, Find(7)=4, Add (5,7)=17 Succeeded, w=57\",\"Find(1)=4, Find(4)=4, Add (1,4)=19 Failed, w=57\",\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=77\",\"Find(2)=4, Find(5)=4, Add (2,5)=22 Failed, w=77\",\"Find(3)=3, Find(7)=4, Add (3,7)=24 Succeeded, w=101\",\"Find(0)=4, Find(7)=4, Add (0,7)=26 Failed, w=101\",\"Find(1)=4, Find(3)=4, Add (1,3)=26 Failed, w=101\",\"Find(4)=4, Find(5)=4, Add (4,5)=32 Failed, w=101\",\"Find(1)=4, Find(2)=4, Add (1,2)=33 Failed, w=101\",\"Find(1)=4, Find(5)=4, Add (1,5)=34 Failed, w=101\",\"Find(3)=4, Find(5)=4, Add (3,5)=37 Failed, w=101\",\"Find(6)=4, Find(7)=4, Add (6,7)=44 Failed, w=101\",\"Find(3)=4, Find(6)=4, Add (3,6)=46 Failed, w=101\",\"Find(2)=4, Find(4)=4, Add (2,4)=49 Failed, w=101\",\"Find(0)=4, Find(6)=4, Add (0,6)=51 Failed, w=101\",\"Find(3)=4, Find(4)=4, Add (3,4)=54 Failed, w=101\",\"Find(5)=4, Find(6)=4, Add (5,6)=71 Failed, w=101\",\"Find(1)=4, Find(6)=4, Add (1,6)=78 Failed, w=101\",\"Find(0)=4, Find(5)=4, Add (0,5)=92 Failed, w=101\",\"Find(2)=4, Find(3)=4, Add (2,3)=93 Failed, w=101\",\"Find(0)=4, Find(3)=4, Add (0,3)=95 Failed, w=101\",\"Find(2)=4, Find(7)=4, Add (2,7)=95 Failed, w=101\",\"Find(0)=4, Find(1)=4, Add (0,1)=100 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,2,15],[0,3,95],[0,4,20],[0,5,92],[0,6,51],[0,7,26],[1,2,33],[1,3,26],[1,4,19],[1,5,34],[1,6,78],[1,7,1],[2,3,93],[2,4,49],[2,5,22],[2,7,95],[3,4,54],[3,5,37],[3,6,46],[3,7,24],[4,5,32],[4,6,10],[4,7,14],[5,6,71],[5,7,17],[6,7,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=1,(4,6)=10,(4,7)=14,(0,2)=15,(5,7)=17,(1,4)=19,(0,4)=20,(2,5)=22,(3,7)=24,(0,7)=26,(1,3)=26,(4,5)=32,(1,2)=33,(1,5)=34,(3,5)=37,(6,7)=44,(3,6)=46,(2,4)=49,(0,6)=51,(3,4)=54,(5,6)=71,(1,6)=78,(0,5)=92,(2,3)=93,(0,3)=95,(2,7)=95,(0,1)=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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(4)=4, Find(6)=6, Add (4,6)=10 Succeeded, w=11\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 5, 6: 4, 7: 1}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=40\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=5, Find(7)=4, Add (5,7)=17 Succeeded, w=57\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=19 Failed, w=57\",\"Parent: {0: 4, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=77\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=22 Failed, w=77\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=3, Find(7)=4, Add (3,7)=24 Succeeded, w=101\",\"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)=26 Failed, w=101\",\"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)=26 Failed, w=101\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(5)=4, Add (4,5)=32 Failed, w=101\",\"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)=33 Failed, w=101\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=34 Failed, w=101\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=37 Failed, w=101\",\"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)=44 Failed, w=101\",\"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)=46 Failed, w=101\",\"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)=49 Failed, w=101\",\"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)=51 Failed, w=101\",\"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)=54 Failed, w=101\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=71 Failed, w=101\",\"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)=78 Failed, w=101\",\"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)=92 Failed, w=101\",\"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)=93 Failed, w=101\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=95 Failed, w=101\",\"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)=95 Failed, w=101\",\"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)=100 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,41],[1,2,27],[1,3,6],[2,4,54],[3,4,65]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[1,2,27],[1,3,6],[2,4,54],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[1,2,27],[1,3,6],[2,4,54],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[1,2,27],[1,3,6],[2,4,54],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (1,2)=27, w=33\",\"Add (0,1)=41, w=74\",\"Add (2,4)=54, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[1,2,27],[1,3,6],[2,4,54],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (1,2)=27 Succeeded, w=33\",\"Add (0,1)=41 Succeeded, w=74\",\"Add (2,4)=54 Succeeded, w=128\",\"Add (3,4)=65 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[1,2,27],[1,3,6],[2,4,54],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(1,2)=27,(0,1)=41,(2,4)=54,(3,4)=65]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=33\",\"Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=74\",\"Find(2)=1, Find(4)=4, Add (2,4)=54 Succeeded, w=128\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,41],[1,2,27],[1,3,6],[2,4,54],[3,4,65]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(1,2)=27,(0,1)=41,(2,4)=54,(3,4)=65]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=41 Succeeded, w=74\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=54 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,19],[0,3,86],[0,4,94],[1,2,99],[1,3,44],[1,4,19],[2,3,38],[2,4,36],[3,4,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,19],[0,3,86],[0,4,94],[1,2,99],[1,3,44],[1,4,19],[2,3,38],[2,4,36],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,19],[0,3,86],[0,4,94],[1,2,99],[1,3,44],[1,4,19],[2,3,38],[2,4,36],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,19],[0,3,86],[0,4,94],[1,2,99],[1,3,44],[1,4,19],[2,3,38],[2,4,36],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (1,4)=19, w=38\",\"Add (2,4)=36, w=74\",\"Add (3,4)=36, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,19],[0,3,86],[0,4,94],[1,2,99],[1,3,44],[1,4,19],[2,3,38],[2,4,36],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (1,4)=19 Succeeded, w=38\",\"Add (2,4)=36 Succeeded, w=74\",\"Add (3,4)=36 Succeeded, w=110\",\"Add (0,1)=37 Failed, w=110\",\"Add (2,3)=38 Failed, w=110\",\"Add (1,3)=44 Failed, w=110\",\"Add (0,3)=86 Failed, w=110\",\"Add (0,4)=94 Failed, w=110\",\"Add (1,2)=99 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,19],[0,3,86],[0,4,94],[1,2,99],[1,3,44],[1,4,19],[2,3,38],[2,4,36],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,4)=19,(2,4)=36,(3,4)=36,(0,1)=37,(2,3)=38,(1,3)=44,(0,3)=86,(0,4)=94,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=38\",\"Find(2)=0, Find(4)=1, Add (2,4)=36 Succeeded, w=74\",\"Find(3)=3, Find(4)=0, Add (3,4)=36 Succeeded, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=110\",\"Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=110\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=110\",\"Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=110\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,19],[0,3,86],[0,4,94],[1,2,99],[1,3,44],[1,4,19],[2,3,38],[2,4,36],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(1,4)=19,(2,4)=36,(3,4)=36,(0,1)=37,(2,3)=38,(1,3)=44,(0,3)=86,(0,4)=94,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(2)=0, Find(4)=1, Add (2,4)=36 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=36 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=38 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=86 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,70],[0,3,33],[0,4,89],[1,2,93],[1,3,34],[1,4,34],[3,4,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,70],[0,3,33],[0,4,89],[1,2,93],[1,3,34],[1,4,34],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,70],[0,3,33],[0,4,89],[1,2,93],[1,3,34],[1,4,34],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,70],[0,3,33],[0,4,89],[1,2,93],[1,3,34],[1,4,34],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=26, w=26\",\"Add (0,3)=33, w=59\",\"Add (1,3)=34, w=93\",\"Add (0,2)=70, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,70],[0,3,33],[0,4,89],[1,2,93],[1,3,34],[1,4,34],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=26 Succeeded, w=26\",\"Add (0,3)=33 Succeeded, w=59\",\"Add (1,3)=34 Succeeded, w=93\",\"Add (1,4)=34 Failed, w=93\",\"Add (0,2)=70 Succeeded, w=163\",\"Add (0,4)=89 Failed, w=163\",\"Add (1,2)=93 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,70],[0,3,33],[0,4,89],[1,2,93],[1,3,34],[1,4,34],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=26,(0,3)=33,(1,3)=34,(1,4)=34,(0,2)=70,(0,4)=89,(1,2)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=59\",\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=93\",\"Find(1)=3, Find(4)=3, Add (1,4)=34 Failed, w=93\",\"Find(0)=3, Find(2)=2, Add (0,2)=70 Succeeded, w=163\",\"Find(0)=3, Find(4)=3, Add (0,4)=89 Failed, w=163\",\"Find(1)=3, Find(2)=3, Add (1,2)=93 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,70],[0,3,33],[0,4,89],[1,2,93],[1,3,34],[1,4,34],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=26,(0,3)=33,(1,3)=34,(1,4)=34,(0,2)=70,(0,4)=89,(1,2)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=26 Succeeded, w=26\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=59\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=93\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=34 Failed, w=93\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=2, Add (0,2)=70 Succeeded, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=89 Failed, w=163\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=93 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,100],[0,3,78],[1,2,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,78],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,78],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,78],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=78, w=78\",\"Add (1,2)=95, w=173\",\"Add (0,2)=100, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,78],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=78 Succeeded, w=78\",\"Add (1,2)=95 Succeeded, w=173\",\"Add (0,2)=100 Succeeded, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,78],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=78,(1,2)=95,(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=78 Succeeded, w=78\",\"Find(1)=1, Find(2)=2, Add (1,2)=95 Succeeded, w=173\",\"Find(0)=0, Find(2)=1, Add (0,2)=100 Succeeded, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,100],[0,3,78],[1,2,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=78,(1,2)=95,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=78 Succeeded, w=78\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=95 Succeeded, w=173\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=100 Succeeded, w=273\"],\"Answer\":273}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,92],[0,2,8],[0,3,38],[0,4,85],[0,5,36],[0,6,36],[0,7,97],[1,2,6],[1,3,10],[1,4,78],[1,5,46],[1,6,25],[1,7,18],[2,3,61],[2,4,6],[2,5,72],[2,6,66],[2,7,54],[3,4,70],[3,5,85],[3,7,31],[4,5,30],[4,6,19],[4,7,46],[5,6,24],[5,7,28],[6,7,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,8],[0,3,38],[0,4,85],[0,5,36],[0,6,36],[0,7,97],[1,2,6],[1,3,10],[1,4,78],[1,5,46],[1,6,25],[1,7,18],[2,3,61],[2,4,6],[2,5,72],[2,6,66],[2,7,54],[3,4,70],[3,5,85],[3,7,31],[4,5,30],[4,6,19],[4,7,46],[5,6,24],[5,7,28],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,8],[0,3,38],[0,4,85],[0,5,36],[0,6,36],[0,7,97],[1,2,6],[1,3,10],[1,4,78],[1,5,46],[1,6,25],[1,7,18],[2,3,61],[2,4,6],[2,5,72],[2,6,66],[2,7,54],[3,4,70],[3,5,85],[3,7,31],[4,5,30],[4,6,19],[4,7,46],[5,6,24],[5,7,28],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (1,7)\",\"Add (4,6)\",\"Add (5,6)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,8],[0,3,38],[0,4,85],[0,5,36],[0,6,36],[0,7,97],[1,2,6],[1,3,10],[1,4,78],[1,5,46],[1,6,25],[1,7,18],[2,3,61],[2,4,6],[2,5,72],[2,6,66],[2,7,54],[3,4,70],[3,5,85],[3,7,31],[4,5,30],[4,6,19],[4,7,46],[5,6,24],[5,7,28],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (2,4)=6, w=12\",\"Add (0,2)=8, w=20\",\"Add (1,3)=10, w=30\",\"Add (1,7)=18, w=48\",\"Add (4,6)=19, w=67\",\"Add (5,6)=24, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,8],[0,3,38],[0,4,85],[0,5,36],[0,6,36],[0,7,97],[1,2,6],[1,3,10],[1,4,78],[1,5,46],[1,6,25],[1,7,18],[2,3,61],[2,4,6],[2,5,72],[2,6,66],[2,7,54],[3,4,70],[3,5,85],[3,7,31],[4,5,30],[4,6,19],[4,7,46],[5,6,24],[5,7,28],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (2,4)=6 Succeeded, w=12\",\"Add (0,2)=8 Succeeded, w=20\",\"Add (1,3)=10 Succeeded, w=30\",\"Add (1,7)=18 Succeeded, w=48\",\"Add (4,6)=19 Succeeded, w=67\",\"Add (5,6)=24 Succeeded, w=91\",\"Add (1,6)=25 Failed, w=91\",\"Add (5,7)=28 Failed, w=91\",\"Add (4,5)=30 Failed, w=91\",\"Add (3,7)=31 Failed, w=91\",\"Add (0,5)=36 Failed, w=91\",\"Add (0,6)=36 Failed, w=91\",\"Add (0,3)=38 Failed, w=91\",\"Add (6,7)=40 Failed, w=91\",\"Add (1,5)=46 Failed, w=91\",\"Add (4,7)=46 Failed, w=91\",\"Add (2,7)=54 Failed, w=91\",\"Add (2,3)=61 Failed, w=91\",\"Add (2,6)=66 Failed, w=91\",\"Add (3,4)=70 Failed, w=91\",\"Add (2,5)=72 Failed, w=91\",\"Add (1,4)=78 Failed, w=91\",\"Add (0,4)=85 Failed, w=91\",\"Add (3,5)=85 Failed, w=91\",\"Add (0,1)=92 Failed, w=91\",\"Add (0,7)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,8],[0,3,38],[0,4,85],[0,5,36],[0,6,36],[0,7,97],[1,2,6],[1,3,10],[1,4,78],[1,5,46],[1,6,25],[1,7,18],[2,3,61],[2,4,6],[2,5,72],[2,6,66],[2,7,54],[3,4,70],[3,5,85],[3,7,31],[4,5,30],[4,6,19],[4,7,46],[5,6,24],[5,7,28],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(2,4)=6,(0,2)=8,(1,3)=10,(1,7)=18,(4,6)=19,(5,6)=24,(1,6)=25,(5,7)=28,(4,5)=30,(3,7)=31,(0,5)=36,(0,6)=36,(0,3)=38,(6,7)=40,(1,5)=46,(4,7)=46,(2,7)=54,(2,3)=61,(2,6)=66,(3,4)=70,(2,5)=72,(1,4)=78,(0,4)=85,(3,5)=85,(0,1)=92,(0,7)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(2)=1, Find(4)=4, Add (2,4)=6 Succeeded, w=12\",\"Find(0)=0, Find(2)=1, Add (0,2)=8 Succeeded, w=20\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=30\",\"Find(1)=1, Find(7)=7, Add (1,7)=18 Succeeded, w=48\",\"Find(4)=1, Find(6)=6, Add (4,6)=19 Succeeded, w=67\",\"Find(5)=5, Find(6)=1, Add (5,6)=24 Succeeded, w=91\",\"Find(1)=1, Find(6)=1, Add (1,6)=25 Failed, w=91\",\"Find(5)=1, Find(7)=1, Add (5,7)=28 Failed, w=91\",\"Find(4)=1, Find(5)=1, Add (4,5)=30 Failed, w=91\",\"Find(3)=1, Find(7)=1, Add (3,7)=31 Failed, w=91\",\"Find(0)=1, Find(5)=1, Add (0,5)=36 Failed, w=91\",\"Find(0)=1, Find(6)=1, Add (0,6)=36 Failed, w=91\",\"Find(0)=1, Find(3)=1, Add (0,3)=38 Failed, w=91\",\"Find(6)=1, Find(7)=1, Add (6,7)=40 Failed, w=91\",\"Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=91\",\"Find(4)=1, Find(7)=1, Add (4,7)=46 Failed, w=91\",\"Find(2)=1, Find(7)=1, Add (2,7)=54 Failed, w=91\",\"Find(2)=1, Find(3)=1, Add (2,3)=61 Failed, w=91\",\"Find(2)=1, Find(6)=1, Add (2,6)=66 Failed, w=91\",\"Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=91\",\"Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=91\",\"Find(1)=1, Find(4)=1, Add (1,4)=78 Failed, w=91\",\"Find(0)=1, Find(4)=1, Add (0,4)=85 Failed, w=91\",\"Find(3)=1, Find(5)=1, Add (3,5)=85 Failed, w=91\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=91\",\"Find(0)=1, Find(7)=1, Add (0,7)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,92],[0,2,8],[0,3,38],[0,4,85],[0,5,36],[0,6,36],[0,7,97],[1,2,6],[1,3,10],[1,4,78],[1,5,46],[1,6,25],[1,7,18],[2,3,61],[2,4,6],[2,5,72],[2,6,66],[2,7,54],[3,4,70],[3,5,85],[3,7,31],[4,5,30],[4,6,19],[4,7,46],[5,6,24],[5,7,28],[6,7,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(2,4)=6,(0,2)=8,(1,3)=10,(1,7)=18,(4,6)=19,(5,6)=24,(1,6)=25,(5,7)=28,(4,5)=30,(3,7)=31,(0,5)=36,(0,6)=36,(0,3)=38,(6,7)=40,(1,5)=46,(4,7)=46,(2,7)=54,(2,3)=61,(2,6)=66,(3,4)=70,(2,5)=72,(1,4)=78,(0,4)=85,(3,5)=85,(0,1)=92,(0,7)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(2)=1, Find(4)=4, Add (2,4)=6 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=1, Add (0,2)=8 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=18 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(4)=1, Find(6)=6, Add (4,6)=19 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=5, Find(6)=1, Add (5,6)=24 Succeeded, w=91\",\"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)=25 Failed, w=91\",\"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)=28 Failed, w=91\",\"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)=30 Failed, w=91\",\"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)=31 Failed, w=91\",\"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)=36 Failed, w=91\",\"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)=36 Failed, w=91\",\"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)=38 Failed, w=91\",\"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)=40 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=91\",\"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)=46 Failed, w=91\",\"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)=54 Failed, w=91\",\"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)=61 Failed, w=91\",\"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)=66 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=72 Failed, w=91\",\"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)=78 Failed, w=91\",\"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)=85 Failed, w=91\",\"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)=85 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=97 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,64],[0,3,92],[0,4,74],[1,2,27],[1,3,44],[1,4,68],[2,3,99],[2,4,56],[3,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,64],[0,3,92],[0,4,74],[1,2,27],[1,3,44],[1,4,68],[2,3,99],[2,4,56],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,64],[0,3,92],[0,4,74],[1,2,27],[1,3,44],[1,4,68],[2,3,99],[2,4,56],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,64],[0,3,92],[0,4,74],[1,2,27],[1,3,44],[1,4,68],[2,3,99],[2,4,56],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27, w=27\",\"Add (3,4)=29, w=56\",\"Add (0,1)=37, w=93\",\"Add (1,3)=44, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,64],[0,3,92],[0,4,74],[1,2,27],[1,3,44],[1,4,68],[2,3,99],[2,4,56],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27 Succeeded, w=27\",\"Add (3,4)=29 Succeeded, w=56\",\"Add (0,1)=37 Succeeded, w=93\",\"Add (1,3)=44 Succeeded, w=137\",\"Add (2,4)=56 Failed, w=137\",\"Add (0,2)=64 Failed, w=137\",\"Add (1,4)=68 Failed, w=137\",\"Add (0,4)=74 Failed, w=137\",\"Add (0,3)=92 Failed, w=137\",\"Add (2,3)=99 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,64],[0,3,92],[0,4,74],[1,2,27],[1,3,44],[1,4,68],[2,3,99],[2,4,56],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(3,4)=29,(0,1)=37,(1,3)=44,(2,4)=56,(0,2)=64,(1,4)=68,(0,4)=74,(0,3)=92,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=56\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=93\",\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=137\",\"Find(2)=1, Find(4)=1, Add (2,4)=56 Failed, w=137\",\"Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=137\",\"Find(1)=1, Find(4)=1, Add (1,4)=68 Failed, w=137\",\"Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=137\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=137\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,64],[0,3,92],[0,4,74],[1,2,27],[1,3,44],[1,4,68],[2,3,99],[2,4,56],[3,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(3,4)=29,(0,1)=37,(1,3)=44,(2,4)=56,(0,2)=64,(1,4)=68,(0,4)=74,(0,3)=92,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=29 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=56 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=64 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=68 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,18],[0,2,70],[0,3,63],[1,2,87],[1,3,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,70],[0,3,63],[1,2,87],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,70],[0,3,63],[1,2,87],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,70],[0,3,63],[1,2,87],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18, w=18\",\"Add (1,3)=34, w=52\",\"Add (0,2)=70, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,70],[0,3,63],[1,2,87],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18 Succeeded, w=18\",\"Add (1,3)=34 Succeeded, w=52\",\"Add (0,3)=63 Failed, w=52\",\"Add (0,2)=70 Succeeded, w=122\",\"Add (1,2)=87 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,70],[0,3,63],[1,2,87],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(1,3)=34,(0,3)=63,(0,2)=70,(1,2)=87]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Find(1)=0, Find(3)=3, Add (1,3)=34 Succeeded, w=52\",\"Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=52\",\"Find(0)=0, Find(2)=2, Add (0,2)=70 Succeeded, w=122\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,18],[0,2,70],[0,3,63],[1,2,87],[1,3,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(1,3)=34,(0,3)=63,(0,2)=70,(1,2)=87]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=34 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=70 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,39],[0,2,5],[0,3,85],[1,3,88],[2,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,5],[0,3,85],[1,3,88],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,5],[0,3,85],[1,3,88],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,5],[0,3,85],[1,3,88],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (0,1)=39, w=44\",\"Add (2,3)=51, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,5],[0,3,85],[1,3,88],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (0,1)=39 Succeeded, w=44\",\"Add (2,3)=51 Succeeded, w=95\",\"Add (0,3)=85 Failed, w=95\",\"Add (1,3)=88 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,5],[0,3,85],[1,3,88],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,1)=39,(2,3)=51,(0,3)=85,(1,3)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=44\",\"Find(2)=0, Find(3)=3, Add (2,3)=51 Succeeded, w=95\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=95\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,39],[0,2,5],[0,3,85],[1,3,88],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,1)=39,(2,3)=51,(0,3)=85,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=51 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,28],[0,2,58],[0,3,25],[0,4,70],[0,5,37],[1,2,79],[1,3,96],[1,4,33],[1,5,38],[2,3,46],[2,4,26],[3,5,63],[4,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,58],[0,3,25],[0,4,70],[0,5,37],[1,2,79],[1,3,96],[1,4,33],[1,5,38],[2,3,46],[2,4,26],[3,5,63],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,58],[0,3,25],[0,4,70],[0,5,37],[1,2,79],[1,3,96],[1,4,33],[1,5,38],[2,3,46],[2,4,26],[3,5,63],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (0,5)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,58],[0,3,25],[0,4,70],[0,5,37],[1,2,79],[1,3,96],[1,4,33],[1,5,38],[2,3,46],[2,4,26],[3,5,63],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=25, w=25\",\"Add (2,4)=26, w=51\",\"Add (0,1)=28, w=79\",\"Add (1,4)=33, w=112\",\"Add (0,5)=37, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,58],[0,3,25],[0,4,70],[0,5,37],[1,2,79],[1,3,96],[1,4,33],[1,5,38],[2,3,46],[2,4,26],[3,5,63],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=25 Succeeded, w=25\",\"Add (2,4)=26 Succeeded, w=51\",\"Add (0,1)=28 Succeeded, w=79\",\"Add (1,4)=33 Succeeded, w=112\",\"Add (0,5)=37 Succeeded, w=149\",\"Add (1,5)=38 Failed, w=149\",\"Add (2,3)=46 Failed, w=149\",\"Add (4,5)=56 Failed, w=149\",\"Add (0,2)=58 Failed, w=149\",\"Add (3,5)=63 Failed, w=149\",\"Add (0,4)=70 Failed, w=149\",\"Add (1,2)=79 Failed, w=149\",\"Add (1,3)=96 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,58],[0,3,25],[0,4,70],[0,5,37],[1,2,79],[1,3,96],[1,4,33],[1,5,38],[2,3,46],[2,4,26],[3,5,63],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=25,(2,4)=26,(0,1)=28,(1,4)=33,(0,5)=37,(1,5)=38,(2,3)=46,(4,5)=56,(0,2)=58,(3,5)=63,(0,4)=70,(1,2)=79,(1,3)=96]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=25\",\"Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=51\",\"Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=79\",\"Find(1)=0, Find(4)=2, Add (1,4)=33 Succeeded, w=112\",\"Find(0)=0, Find(5)=5, Add (0,5)=37 Succeeded, w=149\",\"Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=149\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=149\",\"Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=149\",\"Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=149\",\"Find(0)=0, Find(4)=0, Add (0,4)=70 Failed, w=149\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=149\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,58],[0,3,25],[0,4,70],[0,5,37],[1,2,79],[1,3,96],[1,4,33],[1,5,38],[2,3,46],[2,4,26],[3,5,63],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=25,(2,4)=26,(0,1)=28,(1,4)=33,(0,5)=37,(1,5)=38,(2,3)=46,(4,5)=56,(0,2)=58,(3,5)=63,(0,4)=70,(1,2)=79,(1,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=26 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=28 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(1)=0, Find(4)=2, Add (1,4)=33 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=37 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=38 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=58 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=63 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=70 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,62],[0,2,57],[0,3,88],[1,2,27],[2,3,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,57],[0,3,88],[1,2,27],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,57],[0,3,88],[1,2,27],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,57],[0,3,88],[1,2,27],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27, w=27\",\"Add (0,2)=57, w=84\",\"Add (0,3)=88, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,57],[0,3,88],[1,2,27],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=27 Succeeded, w=27\",\"Add (0,2)=57 Succeeded, w=84\",\"Add (0,1)=62 Failed, w=84\",\"Add (0,3)=88 Succeeded, w=172\",\"Add (2,3)=88 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,57],[0,3,88],[1,2,27],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(0,2)=57,(0,1)=62,(0,3)=88,(2,3)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Find(0)=0, Find(2)=1, Add (0,2)=57 Succeeded, w=84\",\"Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=84\",\"Find(0)=1, Find(3)=3, Add (0,3)=88 Succeeded, w=172\",\"Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,57],[0,3,88],[1,2,27],[2,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=27,(0,2)=57,(0,1)=62,(0,3)=88,(2,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=57 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(3)=3, Add (0,3)=88 Succeeded, w=172\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=1, Add (2,3)=88 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,90],[0,5,17],[1,2,91],[1,4,18],[2,3,5],[2,4,8],[2,5,49],[3,5,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,90],[0,5,17],[1,2,91],[1,4,18],[2,3,5],[2,4,8],[2,5,49],[3,5,38]]}",
"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\":[[0,3,90],[0,5,17],[1,2,91],[1,4,18],[2,3,5],[2,4,8],[2,5,49],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (3,5)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,90],[0,5,17],[1,2,91],[1,4,18],[2,3,5],[2,4,8],[2,5,49],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (2,4)=8, w=13\",\"Add (0,5)=17, w=30\",\"Add (1,4)=18, w=48\",\"Add (3,5)=38, 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\":[[0,3,90],[0,5,17],[1,2,91],[1,4,18],[2,3,5],[2,4,8],[2,5,49],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (2,4)=8 Succeeded, w=13\",\"Add (0,5)=17 Succeeded, w=30\",\"Add (1,4)=18 Succeeded, w=48\",\"Add (3,5)=38 Succeeded, w=86\",\"Add (2,5)=49 Failed, w=86\",\"Add (0,3)=90 Failed, w=86\",\"Add (1,2)=91 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\":[[0,3,90],[0,5,17],[1,2,91],[1,4,18],[2,3,5],[2,4,8],[2,5,49],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(2,4)=8,(0,5)=17,(1,4)=18,(3,5)=38,(2,5)=49,(0,3)=90,(1,2)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=13\",\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=30\",\"Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=48\",\"Find(3)=2, Find(5)=0, Add (3,5)=38 Succeeded, w=86\",\"Find(2)=2, Find(5)=2, Add (2,5)=49 Failed, w=86\",\"Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=86\",\"Find(1)=2, Find(2)=2, Add (1,2)=91 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\":[[0,3,90],[0,5,17],[1,2,91],[1,4,18],[2,3,5],[2,4,8],[2,5,49],[3,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(2,4)=8,(0,5)=17,(1,4)=18,(3,5)=38,(2,5)=49,(0,3)=90,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(1)=1, Find(4)=2, Add (1,4)=18 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(3)=2, Find(5)=0, Add (3,5)=38 Succeeded, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=49 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=90 Failed, w=86\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,46],[0,2,17],[0,3,85],[0,4,72],[0,5,1],[1,2,62],[1,3,58],[1,4,23],[1,5,72],[2,3,25],[2,4,0],[2,5,100],[3,4,63],[3,5,33],[4,5,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,2,17],[0,3,85],[0,4,72],[0,5,1],[1,2,62],[1,3,58],[1,4,23],[1,5,72],[2,3,25],[2,4,0],[2,5,100],[3,4,63],[3,5,33],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,2,17],[0,3,85],[0,4,72],[0,5,1],[1,2,62],[1,3,58],[1,4,23],[1,5,72],[2,3,25],[2,4,0],[2,5,100],[3,4,63],[3,5,33],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,2,17],[0,3,85],[0,4,72],[0,5,1],[1,2,62],[1,3,58],[1,4,23],[1,5,72],[2,3,25],[2,4,0],[2,5,100],[3,4,63],[3,5,33],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (0,5)=1, w=1\",\"Add (0,2)=17, w=18\",\"Add (1,4)=23, w=41\",\"Add (2,3)=25, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,2,17],[0,3,85],[0,4,72],[0,5,1],[1,2,62],[1,3,58],[1,4,23],[1,5,72],[2,3,25],[2,4,0],[2,5,100],[3,4,63],[3,5,33],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (0,5)=1 Succeeded, w=1\",\"Add (0,2)=17 Succeeded, w=18\",\"Add (1,4)=23 Succeeded, w=41\",\"Add (2,3)=25 Succeeded, w=66\",\"Add (3,5)=33 Failed, w=66\",\"Add (0,1)=46 Failed, w=66\",\"Add (1,3)=58 Failed, w=66\",\"Add (1,2)=62 Failed, w=66\",\"Add (3,4)=63 Failed, w=66\",\"Add (0,4)=72 Failed, w=66\",\"Add (1,5)=72 Failed, w=66\",\"Add (4,5)=84 Failed, w=66\",\"Add (0,3)=85 Failed, w=66\",\"Add (2,5)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,2,17],[0,3,85],[0,4,72],[0,5,1],[1,2,62],[1,3,58],[1,4,23],[1,5,72],[2,3,25],[2,4,0],[2,5,100],[3,4,63],[3,5,33],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,5)=1,(0,2)=17,(1,4)=23,(2,3)=25,(3,5)=33,(0,1)=46,(1,3)=58,(1,2)=62,(3,4)=63,(0,4)=72,(1,5)=72,(4,5)=84,(0,3)=85,(2,5)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=18\",\"Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=41\",\"Find(2)=0, Find(3)=3, Add (2,3)=25 Succeeded, w=66\",\"Find(3)=0, Find(5)=0, Add (3,5)=33 Failed, w=66\",\"Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=66\",\"Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=66\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=66\",\"Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=66\",\"Find(0)=0, Find(4)=0, Add (0,4)=72 Failed, w=66\",\"Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=66\",\"Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=66\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=66\",\"Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,46],[0,2,17],[0,3,85],[0,4,72],[0,5,1],[1,2,62],[1,3,58],[1,4,23],[1,5,72],[2,3,25],[2,4,0],[2,5,100],[3,4,63],[3,5,33],[4,5,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,5)=1,(0,2)=17,(1,4)=23,(2,3)=25,(3,5)=33,(0,1)=46,(1,3)=58,(1,2)=62,(3,4)=63,(0,4)=72,(1,5)=72,(4,5)=84,(0,3)=85,(2,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, 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: 0}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 2, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=25 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=33 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=46 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=58 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=63 Failed, w=66\",\"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=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=84 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=100 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,55],[0,2,11],[0,3,36],[0,4,91],[0,5,2],[1,5,83],[2,5,30],[3,4,99],[3,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,11],[0,3,36],[0,4,91],[0,5,2],[1,5,83],[2,5,30],[3,4,99],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,11],[0,3,36],[0,4,91],[0,5,2],[1,5,83],[2,5,30],[3,4,99],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,11],[0,3,36],[0,4,91],[0,5,2],[1,5,83],[2,5,30],[3,4,99],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (3,5)=5, w=7\",\"Add (0,2)=11, w=18\",\"Add (0,1)=55, w=73\",\"Add (0,4)=91, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,11],[0,3,36],[0,4,91],[0,5,2],[1,5,83],[2,5,30],[3,4,99],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (3,5)=5 Succeeded, w=7\",\"Add (0,2)=11 Succeeded, w=18\",\"Add (2,5)=30 Failed, w=18\",\"Add (0,3)=36 Failed, w=18\",\"Add (0,1)=55 Succeeded, w=73\",\"Add (1,5)=83 Failed, w=73\",\"Add (0,4)=91 Succeeded, w=164\",\"Add (3,4)=99 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,11],[0,3,36],[0,4,91],[0,5,2],[1,5,83],[2,5,30],[3,4,99],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(3,5)=5,(0,2)=11,(2,5)=30,(0,3)=36,(0,1)=55,(1,5)=83,(0,4)=91,(3,4)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=0, Add (3,5)=5 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=18\",\"Find(2)=0, Find(5)=0, Add (2,5)=30 Failed, w=18\",\"Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=73\",\"Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=73\",\"Find(0)=0, Find(4)=4, Add (0,4)=91 Succeeded, w=164\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,11],[0,3,36],[0,4,91],[0,5,2],[1,5,83],[2,5,30],[3,4,99],[3,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(3,5)=5,(0,2)=11,(2,5)=30,(0,3)=36,(0,1)=55,(1,5)=83,(0,4)=91,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=30 Failed, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=36 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=55 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=83 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=91 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,95],[0,3,62],[1,2,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,62],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,62],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,62],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=53, w=53\",\"Add (0,3)=62, w=115\",\"Add (0,2)=95, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,62],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=53 Succeeded, w=53\",\"Add (0,3)=62 Succeeded, w=115\",\"Add (0,2)=95 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,62],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=53,(0,3)=62,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=53\",\"Find(0)=0, Find(3)=3, Add (0,3)=62 Succeeded, w=115\",\"Find(0)=0, Find(2)=1, Add (0,2)=95 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,95],[0,3,62],[1,2,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=53,(0,3)=62,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=53 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=62 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=95 Succeeded, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,15],[1,2,98],[1,3,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,98],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,98],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,98],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15, w=15\",\"Add (1,3)=25, w=40\",\"Add (1,2)=98, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,98],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=15 Succeeded, w=15\",\"Add (1,3)=25 Succeeded, w=40\",\"Add (1,2)=98 Succeeded, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,98],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(1,3)=25,(1,2)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=40\",\"Find(1)=0, Find(2)=2, Add (1,2)=98 Succeeded, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,15],[1,2,98],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=15,(1,3)=25,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=25 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=98 Succeeded, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,37],[0,4,56],[0,5,87],[0,7,75],[1,4,34],[1,5,46],[1,6,57],[1,7,56],[2,4,60],[2,6,7],[2,7,55],[3,4,36],[3,5,51],[4,6,30],[4,7,66],[6,7,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,4,56],[0,5,87],[0,7,75],[1,4,34],[1,5,46],[1,6,57],[1,7,56],[2,4,60],[2,6,7],[2,7,55],[3,4,36],[3,5,51],[4,6,30],[4,7,66],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,4,56],[0,5,87],[0,7,75],[1,4,34],[1,5,46],[1,6,57],[1,7,56],[2,4,60],[2,6,7],[2,7,55],[3,4,36],[3,5,51],[4,6,30],[4,7,66],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (2,6)\",\"Add (4,6)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,5)\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,4,56],[0,5,87],[0,7,75],[1,4,34],[1,5,46],[1,6,57],[1,7,56],[2,4,60],[2,6,7],[2,7,55],[3,4,36],[3,5,51],[4,6,30],[4,7,66],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0, w=0\",\"Add (2,6)=7, w=7\",\"Add (4,6)=30, w=37\",\"Add (1,4)=34, w=71\",\"Add (3,4)=36, w=107\",\"Add (0,1)=37, w=144\",\"Add (1,5)=46, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,4,56],[0,5,87],[0,7,75],[1,4,34],[1,5,46],[1,6,57],[1,7,56],[2,4,60],[2,6,7],[2,7,55],[3,4,36],[3,5,51],[4,6,30],[4,7,66],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=0 Succeeded, w=0\",\"Add (2,6)=7 Succeeded, w=7\",\"Add (4,6)=30 Succeeded, w=37\",\"Add (1,4)=34 Succeeded, w=71\",\"Add (3,4)=36 Succeeded, w=107\",\"Add (0,1)=37 Succeeded, w=144\",\"Add (1,5)=46 Succeeded, w=190\",\"Add (3,5)=51 Failed, w=190\",\"Add (2,7)=55 Failed, w=190\",\"Add (0,4)=56 Failed, w=190\",\"Add (1,7)=56 Failed, w=190\",\"Add (1,6)=57 Failed, w=190\",\"Add (2,4)=60 Failed, w=190\",\"Add (4,7)=66 Failed, w=190\",\"Add (0,7)=75 Failed, w=190\",\"Add (0,5)=87 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,4,56],[0,5,87],[0,7,75],[1,4,34],[1,5,46],[1,6,57],[1,7,56],[2,4,60],[2,6,7],[2,7,55],[3,4,36],[3,5,51],[4,6,30],[4,7,66],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(2,6)=7,(4,6)=30,(1,4)=34,(3,4)=36,(0,1)=37,(1,5)=46,(3,5)=51,(2,7)=55,(0,4)=56,(1,7)=56,(1,6)=57,(2,4)=60,(4,7)=66,(0,7)=75,(0,5)=87]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Find(2)=2, Find(6)=6, Add (2,6)=7 Succeeded, w=7\",\"Find(4)=4, Find(6)=6, Add (4,6)=30 Succeeded, w=37\",\"Find(1)=1, Find(4)=6, Add (1,4)=34 Succeeded, w=71\",\"Find(3)=3, Find(4)=6, Add (3,4)=36 Succeeded, w=107\",\"Find(0)=0, Find(1)=6, Add (0,1)=37 Succeeded, w=144\",\"Find(1)=6, Find(5)=5, Add (1,5)=46 Succeeded, w=190\",\"Find(3)=6, Find(5)=6, Add (3,5)=51 Failed, w=190\",\"Find(2)=6, Find(7)=6, Add (2,7)=55 Failed, w=190\",\"Find(0)=6, Find(4)=6, Add (0,4)=56 Failed, w=190\",\"Find(1)=6, Find(7)=6, Add (1,7)=56 Failed, w=190\",\"Find(1)=6, Find(6)=6, Add (1,6)=57 Failed, w=190\",\"Find(2)=6, Find(4)=6, Add (2,4)=60 Failed, w=190\",\"Find(4)=6, Find(7)=6, Add (4,7)=66 Failed, w=190\",\"Find(0)=6, Find(7)=6, Add (0,7)=75 Failed, w=190\",\"Find(0)=6, Find(5)=6, Add (0,5)=87 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,37],[0,4,56],[0,5,87],[0,7,75],[1,4,34],[1,5,46],[1,6,57],[1,7,56],[2,4,60],[2,6,7],[2,7,55],[3,4,36],[3,5,51],[4,6,30],[4,7,66],[6,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=0,(2,6)=7,(4,6)=30,(1,4)=34,(3,4)=36,(0,1)=37,(1,5)=46,(3,5)=51,(2,7)=55,(0,4)=56,(1,7)=56,(1,6)=57,(2,4)=60,(4,7)=66,(0,7)=75,(0,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 3, 4: 6, 5: 5, 6: 6, 7: 6}, Find(4)=4, Find(6)=6, Add (4,6)=30 Succeeded, w=37\",\"Parent: {0: 0, 1: 6, 2: 6, 3: 3, 4: 6, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(4)=6, Add (1,4)=34 Succeeded, w=71\",\"Parent: {0: 0, 1: 6, 2: 6, 3: 6, 4: 6, 5: 5, 6: 6, 7: 6}, Find(3)=3, Find(4)=6, Add (3,4)=36 Succeeded, w=107\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(1)=6, Add (0,1)=37 Succeeded, w=144\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(5)=5, Add (1,5)=46 Succeeded, w=190\",\"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)=51 Failed, w=190\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(7)=6, Add (2,7)=55 Failed, w=190\",\"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)=56 Failed, w=190\",\"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)=56 Failed, w=190\",\"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)=57 Failed, w=190\",\"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)=60 Failed, w=190\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(4)=6, Find(7)=6, Add (4,7)=66 Failed, w=190\",\"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)=75 Failed, w=190\",\"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)=87 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,73],[0,4,51],[0,5,27],[0,6,25],[0,7,13],[1,2,35],[1,3,75],[1,4,1],[1,5,16],[1,6,95],[1,7,54],[2,3,22],[2,5,20],[2,6,36],[2,7,31],[3,4,41],[3,5,3],[3,6,9],[3,7,32],[4,5,76],[4,6,89],[4,7,94],[5,6,68],[5,7,88],[6,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,73],[0,4,51],[0,5,27],[0,6,25],[0,7,13],[1,2,35],[1,3,75],[1,4,1],[1,5,16],[1,6,95],[1,7,54],[2,3,22],[2,5,20],[2,6,36],[2,7,31],[3,4,41],[3,5,3],[3,6,9],[3,7,32],[4,5,76],[4,6,89],[4,7,94],[5,6,68],[5,7,88],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,73],[0,4,51],[0,5,27],[0,6,25],[0,7,13],[1,2,35],[1,3,75],[1,4,1],[1,5,16],[1,6,95],[1,7,54],[2,3,22],[2,5,20],[2,6,36],[2,7,31],[3,4,41],[3,5,3],[3,6,9],[3,7,32],[4,5,76],[4,6,89],[4,7,94],[5,6,68],[5,7,88],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (3,6)\",\"Add (0,7)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (6,7)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,73],[0,4,51],[0,5,27],[0,6,25],[0,7,13],[1,2,35],[1,3,75],[1,4,1],[1,5,16],[1,6,95],[1,7,54],[2,3,22],[2,5,20],[2,6,36],[2,7,31],[3,4,41],[3,5,3],[3,6,9],[3,7,32],[4,5,76],[4,6,89],[4,7,94],[5,6,68],[5,7,88],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (3,5)=3, w=4\",\"Add (3,6)=9, w=13\",\"Add (0,7)=13, w=26\",\"Add (1,5)=16, w=42\",\"Add (2,5)=20, w=62\",\"Add (6,7)=22, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,73],[0,4,51],[0,5,27],[0,6,25],[0,7,13],[1,2,35],[1,3,75],[1,4,1],[1,5,16],[1,6,95],[1,7,54],[2,3,22],[2,5,20],[2,6,36],[2,7,31],[3,4,41],[3,5,3],[3,6,9],[3,7,32],[4,5,76],[4,6,89],[4,7,94],[5,6,68],[5,7,88],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (3,5)=3 Succeeded, w=4\",\"Add (3,6)=9 Succeeded, w=13\",\"Add (0,7)=13 Succeeded, w=26\",\"Add (1,5)=16 Succeeded, w=42\",\"Add (2,5)=20 Succeeded, w=62\",\"Add (2,3)=22 Failed, w=62\",\"Add (6,7)=22 Succeeded, w=84\",\"Add (0,6)=25 Failed, w=84\",\"Add (0,5)=27 Failed, w=84\",\"Add (2,7)=31 Failed, w=84\",\"Add (3,7)=32 Failed, w=84\",\"Add (1,2)=35 Failed, w=84\",\"Add (2,6)=36 Failed, w=84\",\"Add (3,4)=41 Failed, w=84\",\"Add (0,4)=51 Failed, w=84\",\"Add (1,7)=54 Failed, w=84\",\"Add (5,6)=68 Failed, w=84\",\"Add (0,2)=73 Failed, w=84\",\"Add (1,3)=75 Failed, w=84\",\"Add (4,5)=76 Failed, w=84\",\"Add (5,7)=88 Failed, w=84\",\"Add (4,6)=89 Failed, w=84\",\"Add (4,7)=94 Failed, w=84\",\"Add (1,6)=95 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,73],[0,4,51],[0,5,27],[0,6,25],[0,7,13],[1,2,35],[1,3,75],[1,4,1],[1,5,16],[1,6,95],[1,7,54],[2,3,22],[2,5,20],[2,6,36],[2,7,31],[3,4,41],[3,5,3],[3,6,9],[3,7,32],[4,5,76],[4,6,89],[4,7,94],[5,6,68],[5,7,88],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(3,5)=3,(3,6)=9,(0,7)=13,(1,5)=16,(2,5)=20,(2,3)=22,(6,7)=22,(0,6)=25,(0,5)=27,(2,7)=31,(3,7)=32,(1,2)=35,(2,6)=36,(3,4)=41,(0,4)=51,(1,7)=54,(5,6)=68,(0,2)=73,(1,3)=75,(4,5)=76,(5,7)=88,(4,6)=89,(4,7)=94,(1,6)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=4\",\"Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=13\",\"Find(0)=0, Find(7)=7, Add (0,7)=13 Succeeded, w=26\",\"Find(1)=1, Find(5)=3, Add (1,5)=16 Succeeded, w=42\",\"Find(2)=2, Find(5)=1, Add (2,5)=20 Succeeded, w=62\",\"Find(2)=1, Find(3)=1, Add (2,3)=22 Failed, w=62\",\"Find(6)=1, Find(7)=0, Add (6,7)=22 Succeeded, w=84\",\"Find(0)=1, Find(6)=1, Add (0,6)=25 Failed, w=84\",\"Find(0)=1, Find(5)=1, Add (0,5)=27 Failed, w=84\",\"Find(2)=1, Find(7)=1, Add (2,7)=31 Failed, w=84\",\"Find(3)=1, Find(7)=1, Add (3,7)=32 Failed, w=84\",\"Find(1)=1, Find(2)=1, Add (1,2)=35 Failed, w=84\",\"Find(2)=1, Find(6)=1, Add (2,6)=36 Failed, w=84\",\"Find(3)=1, Find(4)=1, Add (3,4)=41 Failed, w=84\",\"Find(0)=1, Find(4)=1, Add (0,4)=51 Failed, w=84\",\"Find(1)=1, Find(7)=1, Add (1,7)=54 Failed, w=84\",\"Find(5)=1, Find(6)=1, Add (5,6)=68 Failed, w=84\",\"Find(0)=1, Find(2)=1, Add (0,2)=73 Failed, w=84\",\"Find(1)=1, Find(3)=1, Add (1,3)=75 Failed, w=84\",\"Find(4)=1, Find(5)=1, Add (4,5)=76 Failed, w=84\",\"Find(5)=1, Find(7)=1, Add (5,7)=88 Failed, w=84\",\"Find(4)=1, Find(6)=1, Add (4,6)=89 Failed, w=84\",\"Find(4)=1, Find(7)=1, Add (4,7)=94 Failed, w=84\",\"Find(1)=1, Find(6)=1, Add (1,6)=95 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,73],[0,4,51],[0,5,27],[0,6,25],[0,7,13],[1,2,35],[1,3,75],[1,4,1],[1,5,16],[1,6,95],[1,7,54],[2,3,22],[2,5,20],[2,6,36],[2,7,31],[3,4,41],[3,5,3],[3,6,9],[3,7,32],[4,5,76],[4,6,89],[4,7,94],[5,6,68],[5,7,88],[6,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(3,5)=3,(3,6)=9,(0,7)=13,(1,5)=16,(2,5)=20,(2,3)=22,(6,7)=22,(0,6)=25,(0,5)=27,(2,7)=31,(3,7)=32,(1,2)=35,(2,6)=36,(3,4)=41,(0,4)=51,(1,7)=54,(5,6)=68,(0,2)=73,(1,3)=75,(4,5)=76,(5,7)=88,(4,6)=89,(4,7)=94,(1,6)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=13 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 3, 7: 0}, Find(1)=1, Find(5)=3, Add (1,5)=16 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 0}, Find(2)=2, Find(5)=1, Add (2,5)=20 Succeeded, w=62\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 0}, Find(2)=1, Find(3)=1, Add (2,3)=22 Failed, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(6)=1, Find(7)=0, Add (6,7)=22 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=1, Find(6)=1, Add (0,6)=25 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=1, Find(5)=1, Add (0,5)=27 Failed, w=84\",\"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)=31 Failed, w=84\",\"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)=32 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=35 Failed, w=84\",\"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)=36 Failed, w=84\",\"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)=41 Failed, w=84\",\"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)=51 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=54 Failed, w=84\",\"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)=68 Failed, w=84\",\"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)=73 Failed, w=84\",\"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)=75 Failed, w=84\",\"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)=76 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=88 Failed, w=84\",\"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)=89 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=94 Failed, w=84\",\"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)=95 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,2,35],[0,3,93],[0,4,81],[1,2,89],[1,4,13],[2,3,32],[3,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,35],[0,3,93],[0,4,81],[1,2,89],[1,4,13],[2,3,32],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,35],[0,3,93],[0,4,81],[1,2,89],[1,4,13],[2,3,32],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,35],[0,3,93],[0,4,81],[1,2,89],[1,4,13],[2,3,32],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,1)=9, w=10\",\"Add (1,4)=13, w=23\",\"Add (2,3)=32, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,35],[0,3,93],[0,4,81],[1,2,89],[1,4,13],[2,3,32],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,1)=9 Succeeded, w=10\",\"Add (1,4)=13 Succeeded, w=23\",\"Add (2,3)=32 Succeeded, w=55\",\"Add (0,2)=35 Failed, w=55\",\"Add (0,4)=81 Failed, w=55\",\"Add (1,2)=89 Failed, w=55\",\"Add (0,3)=93 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,35],[0,3,93],[0,4,81],[1,2,89],[1,4,13],[2,3,32],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,1)=9,(1,4)=13,(2,3)=32,(0,2)=35,(0,4)=81,(1,2)=89,(0,3)=93]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=10\",\"Find(1)=0, Find(4)=3, Add (1,4)=13 Succeeded, w=23\",\"Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=55\",\"Find(0)=0, Find(2)=0, Add (0,2)=35 Failed, w=55\",\"Find(0)=0, Find(4)=0, Add (0,4)=81 Failed, w=55\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=55\",\"Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,2,35],[0,3,93],[0,4,81],[1,2,89],[1,4,13],[2,3,32],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,1)=9,(1,4)=13,(2,3)=32,(0,2)=35,(0,4)=81,(1,2)=89,(0,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 3}, Find(1)=0, Find(4)=3, Add (1,4)=13 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(2)=2, Find(3)=0, Add (2,3)=32 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(2)=0, Add (0,2)=35 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=81 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,100],[0,2,94],[0,3,54],[0,4,52],[0,5,47],[1,2,28],[1,3,89],[1,4,58],[1,5,85],[2,3,69],[2,4,61],[3,4,10],[4,5,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,94],[0,3,54],[0,4,52],[0,5,47],[1,2,28],[1,3,89],[1,4,58],[1,5,85],[2,3,69],[2,4,61],[3,4,10],[4,5,92]]}",
"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],\"edges\":[[0,1,100],[0,2,94],[0,3,54],[0,4,52],[0,5,47],[1,2,28],[1,3,89],[1,4,58],[1,5,85],[2,3,69],[2,4,61],[3,4,10],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,2)\",\"Add (0,5)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,94],[0,3,54],[0,4,52],[0,5,47],[1,2,28],[1,3,89],[1,4,58],[1,5,85],[2,3,69],[2,4,61],[3,4,10],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10, w=10\",\"Add (1,2)=28, w=38\",\"Add (0,5)=47, w=85\",\"Add (0,4)=52, w=137\",\"Add (1,4)=58, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,100],[0,2,94],[0,3,54],[0,4,52],[0,5,47],[1,2,28],[1,3,89],[1,4,58],[1,5,85],[2,3,69],[2,4,61],[3,4,10],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=10 Succeeded, w=10\",\"Add (1,2)=28 Succeeded, w=38\",\"Add (0,5)=47 Succeeded, w=85\",\"Add (0,4)=52 Succeeded, w=137\",\"Add (0,3)=54 Failed, w=137\",\"Add (1,4)=58 Succeeded, w=195\",\"Add (2,4)=61 Failed, w=195\",\"Add (2,3)=69 Failed, w=195\",\"Add (1,5)=85 Failed, w=195\",\"Add (1,3)=89 Failed, w=195\",\"Add (4,5)=92 Failed, w=195\",\"Add (0,2)=94 Failed, w=195\",\"Add (0,1)=100 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],\"edges\":[[0,1,100],[0,2,94],[0,3,54],[0,4,52],[0,5,47],[1,2,28],[1,3,89],[1,4,58],[1,5,85],[2,3,69],[2,4,61],[3,4,10],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(1,2)=28,(0,5)=47,(0,4)=52,(0,3)=54,(1,4)=58,(2,4)=61,(2,3)=69,(1,5)=85,(1,3)=89,(4,5)=92,(0,2)=94,(0,1)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=38\",\"Find(0)=0, Find(5)=5, Add (0,5)=47 Succeeded, w=85\",\"Find(0)=0, Find(4)=3, Add (0,4)=52 Succeeded, w=137\",\"Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=137\",\"Find(1)=1, Find(4)=0, Add (1,4)=58 Succeeded, w=195\",\"Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=195\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=195\",\"Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=195\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=195\",\"Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=195\",\"Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=195\",\"Find(0)=0, Find(1)=0, Add (0,1)=100 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],\"edges\":[[0,1,100],[0,2,94],[0,3,54],[0,4,52],[0,5,47],[1,2,28],[1,3,89],[1,4,58],[1,5,85],[2,3,69],[2,4,61],[3,4,10],[4,5,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=10,(1,2)=28,(0,5)=47,(0,4)=52,(0,3)=54,(1,4)=58,(2,4)=61,(2,3)=69,(1,5)=85,(1,3)=89,(4,5)=92,(0,2)=94,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=47 Succeeded, w=85\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(4)=3, Add (0,4)=52 Succeeded, w=137\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=137\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=58 Succeeded, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=85 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=94 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=100 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,72],[0,4,25],[1,3,89],[1,4,60],[2,4,47],[3,4,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,4,25],[1,3,89],[1,4,60],[2,4,47],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,4,25],[1,3,89],[1,4,60],[2,4,47],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,4,25],[1,3,89],[1,4,60],[2,4,47],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11, w=11\",\"Add (0,4)=25, w=36\",\"Add (2,4)=47, w=83\",\"Add (1,4)=60, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,4,25],[1,3,89],[1,4,60],[2,4,47],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11 Succeeded, w=11\",\"Add (0,4)=25 Succeeded, w=36\",\"Add (2,4)=47 Succeeded, w=83\",\"Add (1,4)=60 Succeeded, w=143\",\"Add (0,2)=72 Failed, w=143\",\"Add (1,3)=89 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,4,25],[1,3,89],[1,4,60],[2,4,47],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(0,4)=25,(2,4)=47,(1,4)=60,(0,2)=72,(1,3)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=36\",\"Find(2)=2, Find(4)=3, Add (2,4)=47 Succeeded, w=83\",\"Find(1)=1, Find(4)=3, Add (1,4)=60 Succeeded, w=143\",\"Find(0)=3, Find(2)=3, Add (0,2)=72 Failed, w=143\",\"Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,72],[0,4,25],[1,3,89],[1,4,60],[2,4,47],[3,4,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(0,4)=25,(2,4)=47,(1,4)=60,(0,2)=72,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=36\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=47 Succeeded, w=83\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=60 Succeeded, w=143\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=72 Failed, w=143\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=89 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,9],[0,3,19],[1,2,49],[1,3,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,9],[0,3,19],[1,2,49],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,9],[0,3,19],[1,2,49],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,9],[0,3,19],[1,2,49],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (0,2)=9, w=11\",\"Add (0,3)=19, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,9],[0,3,19],[1,2,49],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (0,2)=9 Succeeded, w=11\",\"Add (0,3)=19 Succeeded, w=30\",\"Add (0,1)=44 Failed, w=30\",\"Add (1,2)=49 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,9],[0,3,19],[1,2,49],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,2)=9,(0,3)=19,(0,1)=44,(1,2)=49]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=11\",\"Find(0)=0, Find(3)=1, Add (0,3)=19 Succeeded, w=30\",\"Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=30\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,9],[0,3,19],[1,2,49],[1,3,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(0,2)=9,(0,3)=19,(0,1)=44,(1,2)=49]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=44 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,53],[0,3,64],[0,4,56],[0,5,57],[1,3,34],[3,5,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,53],[0,3,64],[0,4,56],[0,5,57],[1,3,34],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,53],[0,3,64],[0,4,56],[0,5,57],[1,3,34],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (0,3)\"],\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,53],[0,3,64],[0,4,56],[0,5,57],[1,3,34],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=34, w=34\",\"Add (0,2)=53, w=87\",\"Add (0,4)=56, w=143\",\"Add (0,5)=57, w=200\",\"Add (0,3)=64, w=264\"],\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,53],[0,3,64],[0,4,56],[0,5,57],[1,3,34],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=34 Succeeded, w=34\",\"Add (0,2)=53 Succeeded, w=87\",\"Add (0,4)=56 Succeeded, w=143\",\"Add (0,5)=57 Succeeded, w=200\",\"Add (0,3)=64 Succeeded, w=264\",\"Add (3,5)=66 Failed, w=264\"],\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,53],[0,3,64],[0,4,56],[0,5,57],[1,3,34],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=34,(0,2)=53,(0,4)=56,(0,5)=57,(0,3)=64,(3,5)=66]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=34\",\"Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=87\",\"Find(0)=0, Find(4)=4, Add (0,4)=56 Succeeded, w=143\",\"Find(0)=0, Find(5)=5, Add (0,5)=57 Succeeded, w=200\",\"Find(0)=0, Find(3)=1, Add (0,3)=64 Succeeded, w=264\",\"Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=264\"],\"Answer\":264}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,53],[0,3,64],[0,4,56],[0,5,57],[1,3,34],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=34,(0,2)=53,(0,4)=56,(0,5)=57,(0,3)=64,(3,5)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=87\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=56 Succeeded, w=143\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=57 Succeeded, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0}, Find(0)=0, Find(3)=1, Add (0,3)=64 Succeeded, w=264\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=264\"],\"Answer\":264}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,88],[0,2,88],[0,3,71],[0,4,31],[0,5,17],[0,6,20],[1,2,93],[1,3,18],[1,4,46],[1,5,96],[1,6,35],[2,3,18],[2,4,34],[2,5,75],[2,6,89],[3,4,52],[3,5,36],[3,6,6],[4,5,82],[5,6,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,88],[0,3,71],[0,4,31],[0,5,17],[0,6,20],[1,2,93],[1,3,18],[1,4,46],[1,5,96],[1,6,35],[2,3,18],[2,4,34],[2,5,75],[2,6,89],[3,4,52],[3,5,36],[3,6,6],[4,5,82],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,88],[0,3,71],[0,4,31],[0,5,17],[0,6,20],[1,2,93],[1,3,18],[1,4,46],[1,5,96],[1,6,35],[2,3,18],[2,4,34],[2,5,75],[2,6,89],[3,4,52],[3,5,36],[3,6,6],[4,5,82],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,6)\",\"Add (0,4)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,88],[0,3,71],[0,4,31],[0,5,17],[0,6,20],[1,2,93],[1,3,18],[1,4,46],[1,5,96],[1,6,35],[2,3,18],[2,4,34],[2,5,75],[2,6,89],[3,4,52],[3,5,36],[3,6,6],[4,5,82],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=6, w=6\",\"Add (0,5)=17, w=23\",\"Add (1,3)=18, w=41\",\"Add (2,3)=18, w=59\",\"Add (0,6)=20, w=79\",\"Add (0,4)=31, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,88],[0,3,71],[0,4,31],[0,5,17],[0,6,20],[1,2,93],[1,3,18],[1,4,46],[1,5,96],[1,6,35],[2,3,18],[2,4,34],[2,5,75],[2,6,89],[3,4,52],[3,5,36],[3,6,6],[4,5,82],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=6 Succeeded, w=6\",\"Add (0,5)=17 Succeeded, w=23\",\"Add (1,3)=18 Succeeded, w=41\",\"Add (2,3)=18 Succeeded, w=59\",\"Add (0,6)=20 Succeeded, w=79\",\"Add (5,6)=28 Failed, w=79\",\"Add (0,4)=31 Succeeded, w=110\",\"Add (2,4)=34 Failed, w=110\",\"Add (1,6)=35 Failed, w=110\",\"Add (3,5)=36 Failed, w=110\",\"Add (1,4)=46 Failed, w=110\",\"Add (3,4)=52 Failed, w=110\",\"Add (0,3)=71 Failed, w=110\",\"Add (2,5)=75 Failed, w=110\",\"Add (4,5)=82 Failed, w=110\",\"Add (0,1)=88 Failed, w=110\",\"Add (0,2)=88 Failed, w=110\",\"Add (2,6)=89 Failed, w=110\",\"Add (1,2)=93 Failed, w=110\",\"Add (1,5)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,88],[0,3,71],[0,4,31],[0,5,17],[0,6,20],[1,2,93],[1,3,18],[1,4,46],[1,5,96],[1,6,35],[2,3,18],[2,4,34],[2,5,75],[2,6,89],[3,4,52],[3,5,36],[3,6,6],[4,5,82],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=6,(0,5)=17,(1,3)=18,(2,3)=18,(0,6)=20,(5,6)=28,(0,4)=31,(2,4)=34,(1,6)=35,(3,5)=36,(1,4)=46,(3,4)=52,(0,3)=71,(2,5)=75,(4,5)=82,(0,1)=88,(0,2)=88,(2,6)=89,(1,2)=93,(1,5)=96]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=41\",\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=59\",\"Find(0)=0, Find(6)=3, Add (0,6)=20 Succeeded, w=79\",\"Find(5)=0, Find(6)=0, Add (5,6)=28 Failed, w=79\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=110\",\"Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=110\",\"Find(1)=0, Find(6)=0, Add (1,6)=35 Failed, w=110\",\"Find(3)=0, Find(5)=0, Add (3,5)=36 Failed, w=110\",\"Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=110\",\"Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=110\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=110\",\"Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=110\",\"Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=110\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=110\",\"Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=110\",\"Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=110\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=110\",\"Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,88],[0,2,88],[0,3,71],[0,4,31],[0,5,17],[0,6,20],[1,2,93],[1,3,18],[1,4,46],[1,5,96],[1,6,35],[2,3,18],[2,4,34],[2,5,75],[2,6,89],[3,4,52],[3,5,36],[3,6,6],[4,5,82],[5,6,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=6,(0,5)=17,(1,3)=18,(2,3)=18,(0,6)=20,(5,6)=28,(0,4)=31,(2,4)=34,(1,6)=35,(3,5)=36,(1,4)=46,(3,4)=52,(0,3)=71,(2,5)=75,(4,5)=82,(0,1)=88,(0,2)=88,(2,6)=89,(1,2)=93,(1,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=23\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=41\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 4, 5: 0, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=59\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 0, 4: 4, 5: 0, 6: 3}, Find(0)=0, Find(6)=3, Add (0,6)=20 Succeeded, w=79\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=28 Failed, w=79\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=110\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=35 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=36 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=52 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=88 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=89 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=96 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,97],[0,2,88],[0,3,37],[0,4,55],[1,2,27],[1,3,90],[1,4,21],[2,3,47],[2,4,78],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,88],[0,3,37],[0,4,55],[1,2,27],[1,3,90],[1,4,21],[2,3,47],[2,4,78],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,88],[0,3,37],[0,4,55],[1,2,27],[1,3,90],[1,4,21],[2,3,47],[2,4,78],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,88],[0,3,37],[0,4,55],[1,2,27],[1,3,90],[1,4,21],[2,3,47],[2,4,78],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=21, w=21\",\"Add (1,2)=27, w=48\",\"Add (0,3)=37, w=85\",\"Add (2,3)=47, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,88],[0,3,37],[0,4,55],[1,2,27],[1,3,90],[1,4,21],[2,3,47],[2,4,78],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=21 Succeeded, w=21\",\"Add (1,2)=27 Succeeded, w=48\",\"Add (0,3)=37 Succeeded, w=85\",\"Add (2,3)=47 Succeeded, w=132\",\"Add (0,4)=55 Failed, w=132\",\"Add (2,4)=78 Failed, w=132\",\"Add (3,4)=81 Failed, w=132\",\"Add (0,2)=88 Failed, w=132\",\"Add (1,3)=90 Failed, w=132\",\"Add (0,1)=97 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,88],[0,3,37],[0,4,55],[1,2,27],[1,3,90],[1,4,21],[2,3,47],[2,4,78],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=21,(1,2)=27,(0,3)=37,(2,3)=47,(0,4)=55,(2,4)=78,(3,4)=81,(0,2)=88,(1,3)=90,(0,1)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=21\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=48\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=85\",\"Find(2)=1, Find(3)=0, Add (2,3)=47 Succeeded, w=132\",\"Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=132\",\"Find(2)=1, Find(4)=1, Add (2,4)=78 Failed, w=132\",\"Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=132\",\"Find(0)=1, Find(2)=1, Add (0,2)=88 Failed, w=132\",\"Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=132\",\"Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,97],[0,2,88],[0,3,37],[0,4,55],[1,2,27],[1,3,90],[1,4,21],[2,3,47],[2,4,78],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=21,(1,2)=27,(0,3)=37,(2,3)=47,(0,4)=55,(2,4)=78,(3,4)=81,(0,2)=88,(1,3)=90,(0,1)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(3)=0, Add (2,3)=47 Succeeded, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=55 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=78 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=81 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=88 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=97 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,2,64],[0,3,4],[0,4,24],[0,5,96],[1,2,40],[1,3,97],[1,4,79],[1,5,5],[2,3,98],[2,4,29],[2,5,10],[3,4,96],[3,5,88],[4,5,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,64],[0,3,4],[0,4,24],[0,5,96],[1,2,40],[1,3,97],[1,4,79],[1,5,5],[2,3,98],[2,4,29],[2,5,10],[3,4,96],[3,5,88],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,64],[0,3,4],[0,4,24],[0,5,96],[1,2,40],[1,3,97],[1,4,79],[1,5,5],[2,3,98],[2,4,29],[2,5,10],[3,4,96],[3,5,88],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (2,5)\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,64],[0,3,4],[0,4,24],[0,5,96],[1,2,40],[1,3,97],[1,4,79],[1,5,5],[2,3,98],[2,4,29],[2,5,10],[3,4,96],[3,5,88],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4, w=4\",\"Add (1,5)=5, w=9\",\"Add (4,5)=8, w=17\",\"Add (0,1)=10, w=27\",\"Add (2,5)=10, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,64],[0,3,4],[0,4,24],[0,5,96],[1,2,40],[1,3,97],[1,4,79],[1,5,5],[2,3,98],[2,4,29],[2,5,10],[3,4,96],[3,5,88],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=4 Succeeded, w=4\",\"Add (1,5)=5 Succeeded, w=9\",\"Add (4,5)=8 Succeeded, w=17\",\"Add (0,1)=10 Succeeded, w=27\",\"Add (2,5)=10 Succeeded, w=37\",\"Add (0,4)=24 Failed, w=37\",\"Add (2,4)=29 Failed, w=37\",\"Add (1,2)=40 Failed, w=37\",\"Add (0,2)=64 Failed, w=37\",\"Add (1,4)=79 Failed, w=37\",\"Add (3,5)=88 Failed, w=37\",\"Add (0,5)=96 Failed, w=37\",\"Add (3,4)=96 Failed, w=37\",\"Add (1,3)=97 Failed, w=37\",\"Add (2,3)=98 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,64],[0,3,4],[0,4,24],[0,5,96],[1,2,40],[1,3,97],[1,4,79],[1,5,5],[2,3,98],[2,4,29],[2,5,10],[3,4,96],[3,5,88],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,5)=5,(4,5)=8,(0,1)=10,(2,5)=10,(0,4)=24,(2,4)=29,(1,2)=40,(0,2)=64,(1,4)=79,(3,5)=88,(0,5)=96,(3,4)=96,(1,3)=97,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Find(4)=4, Find(5)=1, Add (4,5)=8 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=27\",\"Find(2)=2, Find(5)=0, Add (2,5)=10 Succeeded, w=37\",\"Find(0)=0, Find(4)=0, Add (0,4)=24 Failed, w=37\",\"Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=37\",\"Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=37\",\"Find(0)=0, Find(2)=0, Add (0,2)=64 Failed, w=37\",\"Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=37\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=37\",\"Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=37\",\"Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=37\",\"Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=37\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,64],[0,3,4],[0,4,24],[0,5,96],[1,2,40],[1,3,97],[1,4,79],[1,5,5],[2,3,98],[2,4,29],[2,5,10],[3,4,96],[3,5,88],[4,5,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=4,(1,5)=5,(4,5)=8,(0,1)=10,(2,5)=10,(0,4)=24,(2,4)=29,(1,2)=40,(0,2)=64,(1,4)=79,(3,5)=88,(0,5)=96,(3,4)=96,(1,3)=97,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=10 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=24 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=29 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=40 Failed, w=37\",\"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=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=96 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=96 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=97 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,20],[0,3,77],[0,4,40],[0,5,39],[1,4,5],[1,5,78],[1,6,98],[2,3,34],[2,6,100],[3,6,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,77],[0,4,40],[0,5,39],[1,4,5],[1,5,78],[1,6,98],[2,3,34],[2,6,100],[3,6,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,77],[0,4,40],[0,5,39],[1,4,5],[1,5,78],[1,6,98],[2,3,34],[2,6,100],[3,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (3,6)\"],\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,77],[0,4,40],[0,5,39],[1,4,5],[1,5,78],[1,6,98],[2,3,34],[2,6,100],[3,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (0,1)=20, w=25\",\"Add (2,3)=34, w=59\",\"Add (0,5)=39, w=98\",\"Add (0,3)=77, w=175\",\"Add (3,6)=82, w=257\"],\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,77],[0,4,40],[0,5,39],[1,4,5],[1,5,78],[1,6,98],[2,3,34],[2,6,100],[3,6,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (0,1)=20 Succeeded, w=25\",\"Add (2,3)=34 Succeeded, w=59\",\"Add (0,5)=39 Succeeded, w=98\",\"Add (0,4)=40 Failed, w=98\",\"Add (0,3)=77 Succeeded, w=175\",\"Add (1,5)=78 Failed, w=175\",\"Add (3,6)=82 Succeeded, w=257\",\"Add (1,6)=98 Failed, w=257\",\"Add (2,6)=100 Failed, w=257\"],\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,77],[0,4,40],[0,5,39],[1,4,5],[1,5,78],[1,6,98],[2,3,34],[2,6,100],[3,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(0,1)=20,(2,3)=34,(0,5)=39,(0,4)=40,(0,3)=77,(1,5)=78,(3,6)=82,(1,6)=98,(2,6)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=25\",\"Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=59\",\"Find(0)=1, Find(5)=5, Add (0,5)=39 Succeeded, w=98\",\"Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=98\",\"Find(0)=1, Find(3)=2, Add (0,3)=77 Succeeded, w=175\",\"Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=175\",\"Find(3)=1, Find(6)=6, Add (3,6)=82 Succeeded, w=257\",\"Find(1)=1, Find(6)=1, Add (1,6)=98 Failed, w=257\",\"Find(2)=1, Find(6)=1, Add (2,6)=100 Failed, w=257\"],\"Answer\":257}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,3,77],[0,4,40],[0,5,39],[1,4,5],[1,5,78],[1,6,98],[2,3,34],[2,6,100],[3,6,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(0,1)=20,(2,3)=34,(0,5)=39,(0,4)=40,(0,3)=77,(1,5)=78,(3,6)=82,(1,6)=98,(2,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(5)=5, Add (0,5)=39 Succeeded, w=98\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(4)=1, Add (0,4)=40 Failed, w=98\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(3)=2, Add (0,3)=77 Succeeded, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1, 6: 6}, Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=82 Succeeded, w=257\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=98 Failed, w=257\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=100 Failed, w=257\"],\"Answer\":257}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,49],[0,2,80],[0,3,61],[0,4,7],[0,5,20],[1,2,25],[1,4,95],[1,5,46],[2,3,68],[2,4,44],[2,5,92],[3,5,77],[4,5,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,80],[0,3,61],[0,4,7],[0,5,20],[1,2,25],[1,4,95],[1,5,46],[2,3,68],[2,4,44],[2,5,92],[3,5,77],[4,5,18]]}",
"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\":[[0,1,49],[0,2,80],[0,3,61],[0,4,7],[0,5,20],[1,2,25],[1,4,95],[1,5,46],[2,3,68],[2,4,44],[2,5,92],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,80],[0,3,61],[0,4,7],[0,5,20],[1,2,25],[1,4,95],[1,5,46],[2,3,68],[2,4,44],[2,5,92],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (4,5)=18, w=25\",\"Add (1,2)=25, w=50\",\"Add (2,4)=44, w=94\",\"Add (0,3)=61, 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\":[[0,1,49],[0,2,80],[0,3,61],[0,4,7],[0,5,20],[1,2,25],[1,4,95],[1,5,46],[2,3,68],[2,4,44],[2,5,92],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (4,5)=18 Succeeded, w=25\",\"Add (0,5)=20 Failed, w=25\",\"Add (1,2)=25 Succeeded, w=50\",\"Add (2,4)=44 Succeeded, w=94\",\"Add (1,5)=46 Failed, w=94\",\"Add (0,1)=49 Failed, w=94\",\"Add (0,3)=61 Succeeded, w=155\",\"Add (2,3)=68 Failed, w=155\",\"Add (3,5)=77 Failed, w=155\",\"Add (0,2)=80 Failed, w=155\",\"Add (2,5)=92 Failed, w=155\",\"Add (1,4)=95 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\":[[0,1,49],[0,2,80],[0,3,61],[0,4,7],[0,5,20],[1,2,25],[1,4,95],[1,5,46],[2,3,68],[2,4,44],[2,5,92],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(4,5)=18,(0,5)=20,(1,2)=25,(2,4)=44,(1,5)=46,(0,1)=49,(0,3)=61,(2,3)=68,(3,5)=77,(0,2)=80,(2,5)=92,(1,4)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(4)=0, Find(5)=5, Add (4,5)=18 Succeeded, w=25\",\"Find(0)=0, Find(5)=0, Add (0,5)=20 Failed, w=25\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=50\",\"Find(2)=1, Find(4)=0, Add (2,4)=44 Succeeded, w=94\",\"Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=94\",\"Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=94\",\"Find(0)=1, Find(3)=3, Add (0,3)=61 Succeeded, w=155\",\"Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=155\",\"Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=155\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=155\",\"Find(2)=1, Find(5)=1, Add (2,5)=92 Failed, w=155\",\"Find(1)=1, Find(4)=1, Add (1,4)=95 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\":[[0,1,49],[0,2,80],[0,3,61],[0,4,7],[0,5,20],[1,2,25],[1,4,95],[1,5,46],[2,3,68],[2,4,44],[2,5,92],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(4,5)=18,(0,5)=20,(1,2)=25,(2,4)=44,(1,5)=46,(0,1)=49,(0,3)=61,(2,3)=68,(3,5)=77,(0,2)=80,(2,5)=92,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=18 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=20 Failed, w=25\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0}, Find(2)=1, Find(4)=0, Add (2,4)=44 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=46 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=49 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(3)=3, Add (0,3)=61 Succeeded, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=92 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)=95 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,33],[0,4,58],[0,5,68],[1,5,36],[2,3,61],[2,4,92],[2,5,85],[4,5,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,33],[0,4,58],[0,5,68],[1,5,36],[2,3,61],[2,4,92],[2,5,85],[4,5,7]]}",
"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],\"edges\":[[0,1,61],[0,2,33],[0,4,58],[0,5,68],[1,5,36],[2,3,61],[2,4,92],[2,5,85],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (2,3)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,33],[0,4,58],[0,5,68],[1,5,36],[2,3,61],[2,4,92],[2,5,85],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7, w=7\",\"Add (0,2)=33, w=40\",\"Add (1,5)=36, w=76\",\"Add (0,4)=58, w=134\",\"Add (2,3)=61, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,33],[0,4,58],[0,5,68],[1,5,36],[2,3,61],[2,4,92],[2,5,85],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=7 Succeeded, w=7\",\"Add (0,2)=33 Succeeded, w=40\",\"Add (1,5)=36 Succeeded, w=76\",\"Add (0,4)=58 Succeeded, w=134\",\"Add (0,1)=61 Failed, w=134\",\"Add (2,3)=61 Succeeded, w=195\",\"Add (0,5)=68 Failed, w=195\",\"Add (2,5)=85 Failed, w=195\",\"Add (2,4)=92 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],\"edges\":[[0,1,61],[0,2,33],[0,4,58],[0,5,68],[1,5,36],[2,3,61],[2,4,92],[2,5,85],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(0,2)=33,(1,5)=36,(0,4)=58,(0,1)=61,(2,3)=61,(0,5)=68,(2,5)=85,(2,4)=92]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=40\",\"Find(1)=1, Find(5)=4, Add (1,5)=36 Succeeded, w=76\",\"Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=134\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=134\",\"Find(2)=0, Find(3)=3, Add (2,3)=61 Succeeded, w=195\",\"Find(0)=0, Find(5)=0, Add (0,5)=68 Failed, w=195\",\"Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=195\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 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],\"edges\":[[0,1,61],[0,2,33],[0,4,58],[0,5,68],[1,5,36],[2,3,61],[2,4,92],[2,5,85],[4,5,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=7,(0,2)=33,(1,5)=36,(0,4)=58,(0,1)=61,(2,3)=61,(0,5)=68,(2,5)=85,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=40\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(5)=4, Add (1,5)=36 Succeeded, w=76\",\"Parent: {0: 0, 1: 4, 2: 0, 3: 3, 4: 0, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4}, Find(2)=0, Find(3)=3, Add (2,3)=61 Succeeded, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=68 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=85 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,31],[0,3,63],[0,4,42],[0,5,98],[0,6,66],[0,7,72],[1,2,81],[1,3,9],[1,5,90],[1,6,14],[1,7,79],[2,4,56],[3,5,41],[3,6,36],[3,7,96],[4,5,36],[4,6,23],[4,7,78],[5,6,46],[5,7,16],[6,7,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,63],[0,4,42],[0,5,98],[0,6,66],[0,7,72],[1,2,81],[1,3,9],[1,5,90],[1,6,14],[1,7,79],[2,4,56],[3,5,41],[3,6,36],[3,7,96],[4,5,36],[4,6,23],[4,7,78],[5,6,46],[5,7,16],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,63],[0,4,42],[0,5,98],[0,6,66],[0,7,72],[1,2,81],[1,3,9],[1,5,90],[1,6,14],[1,7,79],[2,4,56],[3,5,41],[3,6,36],[3,7,96],[4,5,36],[4,6,23],[4,7,78],[5,6,46],[5,7,16],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,6)\",\"Add (5,7)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (2,4)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,63],[0,4,42],[0,5,98],[0,6,66],[0,7,72],[1,2,81],[1,3,9],[1,5,90],[1,6,14],[1,7,79],[2,4,56],[3,5,41],[3,6,36],[3,7,96],[4,5,36],[4,6,23],[4,7,78],[5,6,46],[5,7,16],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (1,6)=14, w=23\",\"Add (5,7)=16, w=39\",\"Add (4,6)=23, w=62\",\"Add (0,1)=31, w=93\",\"Add (4,5)=36, w=129\",\"Add (2,4)=56, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,63],[0,4,42],[0,5,98],[0,6,66],[0,7,72],[1,2,81],[1,3,9],[1,5,90],[1,6,14],[1,7,79],[2,4,56],[3,5,41],[3,6,36],[3,7,96],[4,5,36],[4,6,23],[4,7,78],[5,6,46],[5,7,16],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (1,6)=14 Succeeded, w=23\",\"Add (5,7)=16 Succeeded, w=39\",\"Add (4,6)=23 Succeeded, w=62\",\"Add (0,1)=31 Succeeded, w=93\",\"Add (3,6)=36 Failed, w=93\",\"Add (4,5)=36 Succeeded, w=129\",\"Add (3,5)=41 Failed, w=129\",\"Add (0,4)=42 Failed, w=129\",\"Add (5,6)=46 Failed, w=129\",\"Add (2,4)=56 Succeeded, w=185\",\"Add (0,3)=63 Failed, w=185\",\"Add (0,6)=66 Failed, w=185\",\"Add (0,7)=72 Failed, w=185\",\"Add (6,7)=73 Failed, w=185\",\"Add (4,7)=78 Failed, w=185\",\"Add (1,7)=79 Failed, w=185\",\"Add (1,2)=81 Failed, w=185\",\"Add (1,5)=90 Failed, w=185\",\"Add (3,7)=96 Failed, w=185\",\"Add (0,5)=98 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,63],[0,4,42],[0,5,98],[0,6,66],[0,7,72],[1,2,81],[1,3,9],[1,5,90],[1,6,14],[1,7,79],[2,4,56],[3,5,41],[3,6,36],[3,7,96],[4,5,36],[4,6,23],[4,7,78],[5,6,46],[5,7,16],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(1,6)=14,(5,7)=16,(4,6)=23,(0,1)=31,(3,6)=36,(4,5)=36,(3,5)=41,(0,4)=42,(5,6)=46,(2,4)=56,(0,3)=63,(0,6)=66,(0,7)=72,(6,7)=73,(4,7)=78,(1,7)=79,(1,2)=81,(1,5)=90,(3,7)=96,(0,5)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=23\",\"Find(5)=5, Find(7)=7, Add (5,7)=16 Succeeded, w=39\",\"Find(4)=4, Find(6)=1, Add (4,6)=23 Succeeded, w=62\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=93\",\"Find(3)=1, Find(6)=1, Add (3,6)=36 Failed, w=93\",\"Find(4)=1, Find(5)=5, Add (4,5)=36 Succeeded, w=129\",\"Find(3)=1, Find(5)=1, Add (3,5)=41 Failed, w=129\",\"Find(0)=1, Find(4)=1, Add (0,4)=42 Failed, w=129\",\"Find(5)=1, Find(6)=1, Add (5,6)=46 Failed, w=129\",\"Find(2)=2, Find(4)=1, Add (2,4)=56 Succeeded, w=185\",\"Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=185\",\"Find(0)=1, Find(6)=1, Add (0,6)=66 Failed, w=185\",\"Find(0)=1, Find(7)=1, Add (0,7)=72 Failed, w=185\",\"Find(6)=1, Find(7)=1, Add (6,7)=73 Failed, w=185\",\"Find(4)=1, Find(7)=1, Add (4,7)=78 Failed, w=185\",\"Find(1)=1, Find(7)=1, Add (1,7)=79 Failed, w=185\",\"Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=185\",\"Find(1)=1, Find(5)=1, Add (1,5)=90 Failed, w=185\",\"Find(3)=1, Find(7)=1, Add (3,7)=96 Failed, w=185\",\"Find(0)=1, Find(5)=1, Add (0,5)=98 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,31],[0,3,63],[0,4,42],[0,5,98],[0,6,66],[0,7,72],[1,2,81],[1,3,9],[1,5,90],[1,6,14],[1,7,79],[2,4,56],[3,5,41],[3,6,36],[3,7,96],[4,5,36],[4,6,23],[4,7,78],[5,6,46],[5,7,16],[6,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(1,6)=14,(5,7)=16,(4,6)=23,(0,1)=31,(3,6)=36,(4,5)=36,(3,5)=41,(0,4)=42,(5,6)=46,(2,4)=56,(0,3)=63,(0,6)=66,(0,7)=72,(6,7)=73,(4,7)=78,(1,7)=79,(1,2)=81,(1,5)=90,(3,7)=96,(0,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=14 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=16 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 5}, Find(4)=4, Find(6)=1, Add (4,6)=23 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 5}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 5}, Find(3)=1, Find(6)=1, Add (3,6)=36 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(4)=1, Find(5)=5, Add (4,5)=36 Succeeded, w=129\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(3)=1, Find(5)=1, Add (3,5)=41 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(4)=1, Add (0,4)=42 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(5)=1, Find(6)=1, Add (5,6)=46 Failed, w=129\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=2, Find(4)=1, Add (2,4)=56 Succeeded, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(3)=1, Add (0,3)=63 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(6)=1, Add (0,6)=66 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=72 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=73 Failed, w=185\",\"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)=78 Failed, w=185\",\"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)=79 Failed, w=185\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=81 Failed, w=185\",\"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)=90 Failed, w=185\",\"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)=96 Failed, w=185\",\"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=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,100],[0,2,60],[1,2,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,60],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,60],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,60],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (0,2)=60, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,60],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (0,2)=60 Succeeded, w=62\",\"Add (0,1)=100 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,60],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,2)=60,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=1, Add (0,2)=60 Succeeded, w=62\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,100],[0,2,60],[1,2,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,2)=60,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=60 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,21],[0,4,97],[0,5,65],[0,6,49],[0,7,78],[1,2,91],[1,3,22],[1,4,24],[1,6,93],[2,5,79],[2,6,39],[3,6,43],[3,7,63],[4,6,56],[5,6,40],[5,7,79],[6,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,21],[0,4,97],[0,5,65],[0,6,49],[0,7,78],[1,2,91],[1,3,22],[1,4,24],[1,6,93],[2,5,79],[2,6,39],[3,6,43],[3,7,63],[4,6,56],[5,6,40],[5,7,79],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":213}",
"role": "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],[0,2,21],[0,4,97],[0,5,65],[0,6,49],[0,7,78],[1,2,91],[1,3,22],[1,4,24],[1,6,93],[2,5,79],[2,6,39],[3,6,43],[3,7,63],[4,6,56],[5,6,40],[5,7,79],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,6)\",\"Add (5,6)\",\"Add (3,7)\"],\"Answer\":213}",
"role": "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],[0,2,21],[0,4,97],[0,5,65],[0,6,49],[0,7,78],[1,2,91],[1,3,22],[1,4,24],[1,6,93],[2,5,79],[2,6,39],[3,6,43],[3,7,63],[4,6,56],[5,6,40],[5,7,79],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (0,2)=21, w=25\",\"Add (1,3)=22, w=47\",\"Add (1,4)=24, w=71\",\"Add (2,6)=39, w=110\",\"Add (5,6)=40, w=150\",\"Add (3,7)=63, w=213\"],\"Answer\":213}",
"role": "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],[0,2,21],[0,4,97],[0,5,65],[0,6,49],[0,7,78],[1,2,91],[1,3,22],[1,4,24],[1,6,93],[2,5,79],[2,6,39],[3,6,43],[3,7,63],[4,6,56],[5,6,40],[5,7,79],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (0,2)=21 Succeeded, w=25\",\"Add (1,3)=22 Succeeded, w=47\",\"Add (1,4)=24 Succeeded, w=71\",\"Add (2,6)=39 Succeeded, w=110\",\"Add (5,6)=40 Succeeded, w=150\",\"Add (3,6)=43 Failed, w=150\",\"Add (0,6)=49 Failed, w=150\",\"Add (4,6)=56 Failed, w=150\",\"Add (3,7)=63 Succeeded, w=213\",\"Add (0,5)=65 Failed, w=213\",\"Add (0,7)=78 Failed, w=213\",\"Add (2,5)=79 Failed, w=213\",\"Add (5,7)=79 Failed, w=213\",\"Add (1,2)=91 Failed, w=213\",\"Add (6,7)=92 Failed, w=213\",\"Add (1,6)=93 Failed, w=213\",\"Add (0,4)=97 Failed, w=213\"],\"Answer\":213}",
"role": "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],[0,2,21],[0,4,97],[0,5,65],[0,6,49],[0,7,78],[1,2,91],[1,3,22],[1,4,24],[1,6,93],[2,5,79],[2,6,39],[3,6,43],[3,7,63],[4,6,56],[5,6,40],[5,7,79],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(0,2)=21,(1,3)=22,(1,4)=24,(2,6)=39,(5,6)=40,(3,6)=43,(0,6)=49,(4,6)=56,(3,7)=63,(0,5)=65,(0,7)=78,(2,5)=79,(5,7)=79,(1,2)=91,(6,7)=92,(1,6)=93,(0,4)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=25\",\"Find(1)=0, Find(3)=3, Add (1,3)=22 Succeeded, w=47\",\"Find(1)=0, Find(4)=4, Add (1,4)=24 Succeeded, w=71\",\"Find(2)=0, Find(6)=6, Add (2,6)=39 Succeeded, w=110\",\"Find(5)=5, Find(6)=0, Add (5,6)=40 Succeeded, w=150\",\"Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=150\",\"Find(0)=0, Find(6)=0, Add (0,6)=49 Failed, w=150\",\"Find(4)=0, Find(6)=0, Add (4,6)=56 Failed, w=150\",\"Find(3)=0, Find(7)=7, Add (3,7)=63 Succeeded, w=213\",\"Find(0)=0, Find(5)=0, Add (0,5)=65 Failed, w=213\",\"Find(0)=0, Find(7)=0, Add (0,7)=78 Failed, w=213\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=213\",\"Find(5)=0, Find(7)=0, Add (5,7)=79 Failed, w=213\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=213\",\"Find(6)=0, Find(7)=0, Add (6,7)=92 Failed, w=213\",\"Find(1)=0, Find(6)=0, Add (1,6)=93 Failed, w=213\",\"Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=213\"],\"Answer\":213}",
"role": "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],[0,2,21],[0,4,97],[0,5,65],[0,6,49],[0,7,78],[1,2,91],[1,3,22],[1,4,24],[1,6,93],[2,5,79],[2,6,39],[3,6,43],[3,7,63],[4,6,56],[5,6,40],[5,7,79],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(0,2)=21,(1,3)=22,(1,4)=24,(2,6)=39,(5,6)=40,(3,6)=43,(0,6)=49,(4,6)=56,(3,7)=63,(0,5)=65,(0,7)=78,(2,5)=79,(5,7)=79,(1,2)=91,(6,7)=92,(1,6)=93,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=0, Find(3)=3, Add (1,3)=22 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(1)=0, Find(4)=4, Add (1,4)=24 Succeeded, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(2)=0, Find(6)=6, Add (2,6)=39 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(5)=5, Find(6)=0, Add (5,6)=40 Succeeded, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(3)=0, Find(6)=0, Add (3,6)=43 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(6)=0, Add (0,6)=49 Failed, w=150\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(6)=0, Add (4,6)=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(7)=7, Add (3,7)=63 Succeeded, w=213\",\"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)=65 Failed, w=213\",\"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)=78 Failed, w=213\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=213\",\"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)=79 Failed, w=213\",\"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)=91 Failed, w=213\",\"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)=92 Failed, w=213\",\"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)=93 Failed, w=213\",\"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)=97 Failed, w=213\"],\"Answer\":213}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,27],[0,3,68],[0,4,28],[0,5,56],[0,6,62],[1,2,58],[1,3,31],[1,4,68],[1,5,91],[1,6,76],[2,3,80],[2,4,68],[2,5,77],[2,6,18],[3,4,62],[3,5,49],[3,6,70],[4,6,11],[5,6,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,68],[0,4,28],[0,5,56],[0,6,62],[1,2,58],[1,3,31],[1,4,68],[1,5,91],[1,6,76],[2,3,80],[2,4,68],[2,5,77],[2,6,18],[3,4,62],[3,5,49],[3,6,70],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,68],[0,4,28],[0,5,56],[0,6,62],[1,2,58],[1,3,31],[1,4,68],[1,5,91],[1,6,76],[2,3,80],[2,4,68],[2,5,77],[2,6,18],[3,4,62],[3,5,49],[3,6,70],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,6)\",\"Add (0,1)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (5,6)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,68],[0,4,28],[0,5,56],[0,6,62],[1,2,58],[1,3,31],[1,4,68],[1,5,91],[1,6,76],[2,3,80],[2,4,68],[2,5,77],[2,6,18],[3,4,62],[3,5,49],[3,6,70],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=11, w=11\",\"Add (2,6)=18, w=29\",\"Add (0,1)=27, w=56\",\"Add (0,4)=28, w=84\",\"Add (1,3)=31, w=115\",\"Add (5,6)=45, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,68],[0,4,28],[0,5,56],[0,6,62],[1,2,58],[1,3,31],[1,4,68],[1,5,91],[1,6,76],[2,3,80],[2,4,68],[2,5,77],[2,6,18],[3,4,62],[3,5,49],[3,6,70],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=11 Succeeded, w=11\",\"Add (2,6)=18 Succeeded, w=29\",\"Add (0,1)=27 Succeeded, w=56\",\"Add (0,4)=28 Succeeded, w=84\",\"Add (1,3)=31 Succeeded, w=115\",\"Add (5,6)=45 Succeeded, w=160\",\"Add (3,5)=49 Failed, w=160\",\"Add (0,5)=56 Failed, w=160\",\"Add (1,2)=58 Failed, w=160\",\"Add (0,6)=62 Failed, w=160\",\"Add (3,4)=62 Failed, w=160\",\"Add (0,3)=68 Failed, w=160\",\"Add (1,4)=68 Failed, w=160\",\"Add (2,4)=68 Failed, w=160\",\"Add (3,6)=70 Failed, w=160\",\"Add (1,6)=76 Failed, w=160\",\"Add (2,5)=77 Failed, w=160\",\"Add (2,3)=80 Failed, w=160\",\"Add (1,5)=91 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,68],[0,4,28],[0,5,56],[0,6,62],[1,2,58],[1,3,31],[1,4,68],[1,5,91],[1,6,76],[2,3,80],[2,4,68],[2,5,77],[2,6,18],[3,4,62],[3,5,49],[3,6,70],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=11,(2,6)=18,(0,1)=27,(0,4)=28,(1,3)=31,(5,6)=45,(3,5)=49,(0,5)=56,(1,2)=58,(0,6)=62,(3,4)=62,(0,3)=68,(1,4)=68,(2,4)=68,(3,6)=70,(1,6)=76,(2,5)=77,(2,3)=80,(1,5)=91]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=11 Succeeded, w=11\",\"Find(2)=2, Find(6)=4, Add (2,6)=18 Succeeded, w=29\",\"Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=56\",\"Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=84\",\"Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=115\",\"Find(5)=5, Find(6)=0, Add (5,6)=45 Succeeded, w=160\",\"Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=160\",\"Find(0)=0, Find(5)=0, Add (0,5)=56 Failed, w=160\",\"Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=160\",\"Find(0)=0, Find(6)=0, Add (0,6)=62 Failed, w=160\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=160\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=160\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=160\",\"Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=160\",\"Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=160\",\"Find(1)=0, Find(6)=0, Add (1,6)=76 Failed, w=160\",\"Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=160\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=160\",\"Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,27],[0,3,68],[0,4,28],[0,5,56],[0,6,62],[1,2,58],[1,3,31],[1,4,68],[1,5,91],[1,6,76],[2,3,80],[2,4,68],[2,5,77],[2,6,18],[3,4,62],[3,5,49],[3,6,70],[4,6,11],[5,6,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=11,(2,6)=18,(0,1)=27,(0,4)=28,(1,3)=31,(5,6)=45,(3,5)=49,(0,5)=56,(1,2)=58,(0,6)=62,(3,4)=62,(0,3)=68,(1,4)=68,(2,4)=68,(3,6)=70,(1,6)=76,(2,5)=77,(2,3)=80,(1,5)=91]\",\"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)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4}, Find(2)=2, Find(6)=4, Add (2,6)=18 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=27 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 3, 4: 0, 5: 5, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=28 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 5, 6: 4}, Find(1)=0, Find(3)=3, Add (1,3)=31 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=45 Succeeded, w=160\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=56 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=58 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=62 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=70 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=76 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=77 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=160\",\"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=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,34],[0,2,48],[0,3,35],[0,4,74],[1,2,37],[1,3,83],[1,4,47],[2,3,8],[2,4,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,48],[0,3,35],[0,4,74],[1,2,37],[1,3,83],[1,4,47],[2,3,8],[2,4,37]]}",
"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\":[[0,1,34],[0,2,48],[0,3,35],[0,4,74],[1,2,37],[1,3,83],[1,4,47],[2,3,8],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,48],[0,3,35],[0,4,74],[1,2,37],[1,3,83],[1,4,47],[2,3,8],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,1)=34, w=42\",\"Add (0,3)=35, w=77\",\"Add (2,4)=37, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,48],[0,3,35],[0,4,74],[1,2,37],[1,3,83],[1,4,47],[2,3,8],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,1)=34 Succeeded, w=42\",\"Add (0,3)=35 Succeeded, w=77\",\"Add (1,2)=37 Failed, w=77\",\"Add (2,4)=37 Succeeded, w=114\",\"Add (1,4)=47 Failed, w=114\",\"Add (0,2)=48 Failed, w=114\",\"Add (0,4)=74 Failed, w=114\",\"Add (1,3)=83 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\":[[0,1,34],[0,2,48],[0,3,35],[0,4,74],[1,2,37],[1,3,83],[1,4,47],[2,3,8],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,1)=34,(0,3)=35,(1,2)=37,(2,4)=37,(1,4)=47,(0,2)=48,(0,4)=74,(1,3)=83]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=42\",\"Find(0)=0, Find(3)=2, Add (0,3)=35 Succeeded, w=77\",\"Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=77\",\"Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=114\",\"Find(1)=0, Find(4)=0, Add (1,4)=47 Failed, w=114\",\"Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=114\",\"Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=114\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 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\":[[0,1,34],[0,2,48],[0,3,35],[0,4,74],[1,2,37],[1,3,83],[1,4,47],[2,3,8],[2,4,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,1)=34,(0,3)=35,(1,2)=37,(2,4)=37,(1,4)=47,(0,2)=48,(0,4)=74,(1,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=35 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=37 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=47 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=48 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=114\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,40],[0,4,4],[0,5,13],[0,6,57],[1,2,0],[1,3,98],[1,4,0],[1,5,70],[1,6,20],[2,3,20],[2,5,16],[2,6,22],[3,4,65],[3,5,24],[3,6,41],[4,5,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,40],[0,4,4],[0,5,13],[0,6,57],[1,2,0],[1,3,98],[1,4,0],[1,5,70],[1,6,20],[2,3,20],[2,5,16],[2,6,22],[3,4,65],[3,5,24],[3,6,41],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,40],[0,4,4],[0,5,13],[0,6,57],[1,2,0],[1,3,98],[1,4,0],[1,5,70],[1,6,20],[2,3,20],[2,5,16],[2,6,22],[3,4,65],[3,5,24],[3,6,41],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (1,6)\",\"Add (2,3)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,40],[0,4,4],[0,5,13],[0,6,57],[1,2,0],[1,3,98],[1,4,0],[1,5,70],[1,6,20],[2,3,20],[2,5,16],[2,6,22],[3,4,65],[3,5,24],[3,6,41],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (1,4)=0, w=0\",\"Add (0,4)=4, w=4\",\"Add (0,5)=13, w=17\",\"Add (1,6)=20, w=37\",\"Add (2,3)=20, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,40],[0,4,4],[0,5,13],[0,6,57],[1,2,0],[1,3,98],[1,4,0],[1,5,70],[1,6,20],[2,3,20],[2,5,16],[2,6,22],[3,4,65],[3,5,24],[3,6,41],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,4)=4 Succeeded, w=4\",\"Add (0,5)=13 Succeeded, w=17\",\"Add (2,5)=16 Failed, w=17\",\"Add (1,6)=20 Succeeded, w=37\",\"Add (2,3)=20 Succeeded, w=57\",\"Add (2,6)=22 Failed, w=57\",\"Add (3,5)=24 Failed, w=57\",\"Add (0,3)=40 Failed, w=57\",\"Add (3,6)=41 Failed, w=57\",\"Add (0,6)=57 Failed, w=57\",\"Add (3,4)=65 Failed, w=57\",\"Add (1,5)=70 Failed, w=57\",\"Add (4,5)=75 Failed, w=57\",\"Add (1,3)=98 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,40],[0,4,4],[0,5,13],[0,6,57],[1,2,0],[1,3,98],[1,4,0],[1,5,70],[1,6,20],[2,3,20],[2,5,16],[2,6,22],[3,4,65],[3,5,24],[3,6,41],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(1,4)=0,(0,4)=4,(0,5)=13,(2,5)=16,(1,6)=20,(2,3)=20,(2,6)=22,(3,5)=24,(0,3)=40,(3,6)=41,(0,6)=57,(3,4)=65,(1,5)=70,(4,5)=75,(1,3)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=1, Add (0,4)=4 Succeeded, w=4\",\"Find(0)=1, Find(5)=5, Add (0,5)=13 Succeeded, w=17\",\"Find(2)=1, Find(5)=1, Add (2,5)=16 Failed, w=17\",\"Find(1)=1, Find(6)=6, Add (1,6)=20 Succeeded, w=37\",\"Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=57\",\"Find(2)=1, Find(6)=1, Add (2,6)=22 Failed, w=57\",\"Find(3)=1, Find(5)=1, Add (3,5)=24 Failed, w=57\",\"Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=57\",\"Find(3)=1, Find(6)=1, Add (3,6)=41 Failed, w=57\",\"Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=57\",\"Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=57\",\"Find(1)=1, Find(5)=1, Add (1,5)=70 Failed, w=57\",\"Find(4)=1, Find(5)=1, Add (4,5)=75 Failed, w=57\",\"Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,40],[0,4,4],[0,5,13],[0,6,57],[1,2,0],[1,3,98],[1,4,0],[1,5,70],[1,6,20],[2,3,20],[2,5,16],[2,6,22],[3,4,65],[3,5,24],[3,6,41],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(1,4)=0,(0,4)=4,(0,5)=13,(2,5)=16,(1,6)=20,(2,3)=20,(2,6)=22,(3,5)=24,(0,3)=40,(3,6)=41,(0,6)=57,(3,4)=65,(1,5)=70,(4,5)=75,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(4)=1, Add (0,4)=4 Succeeded, w=4\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6}, Find(0)=1, Find(5)=5, Add (0,5)=13 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=16 Failed, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=20 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=3, Add (2,3)=20 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=22 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=24 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=40 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=41 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=65 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=70 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=75 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=98 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,69],[0,2,38],[0,3,48],[1,2,42],[1,3,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,38],[0,3,48],[1,2,42],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,38],[0,3,48],[1,2,42],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,38],[0,3,48],[1,2,42],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=38, w=38\",\"Add (1,2)=42, w=80\",\"Add (0,3)=48, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,38],[0,3,48],[1,2,42],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=38 Succeeded, w=38\",\"Add (1,2)=42 Succeeded, w=80\",\"Add (0,3)=48 Succeeded, w=128\",\"Add (1,3)=55 Failed, w=128\",\"Add (0,1)=69 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,38],[0,3,48],[1,2,42],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=38,(1,2)=42,(0,3)=48,(1,3)=55,(0,1)=69]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=38\",\"Find(1)=1, Find(2)=0, Add (1,2)=42 Succeeded, w=80\",\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=128\",\"Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=128\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,69],[0,2,38],[0,3,48],[1,2,42],[1,3,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=38,(1,2)=42,(0,3)=48,(1,3)=55,(0,1)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=42 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,86],[0,2,33],[0,3,68],[1,2,71],[1,3,2],[2,3,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,33],[0,3,68],[1,2,71],[1,3,2],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,33],[0,3,68],[1,2,71],[1,3,2],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,33],[0,3,68],[1,2,71],[1,3,2],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,3)=26, w=28\",\"Add (0,2)=33, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,33],[0,3,68],[1,2,71],[1,3,2],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,3)=26 Succeeded, w=28\",\"Add (0,2)=33 Succeeded, w=61\",\"Add (0,3)=68 Failed, w=61\",\"Add (1,2)=71 Failed, w=61\",\"Add (0,1)=86 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,33],[0,3,68],[1,2,71],[1,3,2],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=26,(0,2)=33,(0,3)=68,(1,2)=71,(0,1)=86]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=1, Add (2,3)=26 Succeeded, w=28\",\"Find(0)=0, Find(2)=1, Add (0,2)=33 Succeeded, w=61\",\"Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=61\",\"Find(1)=1, Find(2)=1, Add (1,2)=71 Failed, w=61\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,86],[0,2,33],[0,3,68],[1,2,71],[1,3,2],[2,3,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=26,(0,2)=33,(0,3)=68,(1,2)=71,(0,1)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=26 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=33 Succeeded, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=71 Failed, w=61\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,43],[0,3,43],[0,4,90],[0,5,77],[0,6,57],[0,7,16],[1,3,51],[1,6,23],[2,3,57],[2,4,79],[2,5,84],[2,6,35],[3,5,71],[4,5,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,43],[0,4,90],[0,5,77],[0,6,57],[0,7,16],[1,3,51],[1,6,23],[2,3,57],[2,4,79],[2,5,84],[2,6,35],[3,5,71],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,43],[0,4,90],[0,5,77],[0,6,57],[0,7,16],[1,3,51],[1,6,23],[2,3,57],[2,4,79],[2,5,84],[2,6,35],[3,5,71],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (3,5)\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,43],[0,4,90],[0,5,77],[0,6,57],[0,7,16],[1,3,51],[1,6,23],[2,3,57],[2,4,79],[2,5,84],[2,6,35],[3,5,71],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=16, w=16\",\"Add (1,6)=23, w=39\",\"Add (2,6)=35, w=74\",\"Add (4,5)=35, w=109\",\"Add (0,2)=43, w=152\",\"Add (0,3)=43, w=195\",\"Add (3,5)=71, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,43],[0,4,90],[0,5,77],[0,6,57],[0,7,16],[1,3,51],[1,6,23],[2,3,57],[2,4,79],[2,5,84],[2,6,35],[3,5,71],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,7)=16 Succeeded, w=16\",\"Add (1,6)=23 Succeeded, w=39\",\"Add (2,6)=35 Succeeded, w=74\",\"Add (4,5)=35 Succeeded, w=109\",\"Add (0,2)=43 Succeeded, w=152\",\"Add (0,3)=43 Succeeded, w=195\",\"Add (1,3)=51 Failed, w=195\",\"Add (0,6)=57 Failed, w=195\",\"Add (2,3)=57 Failed, w=195\",\"Add (3,5)=71 Succeeded, w=266\",\"Add (0,5)=77 Failed, w=266\",\"Add (2,4)=79 Failed, w=266\",\"Add (2,5)=84 Failed, w=266\",\"Add (0,4)=90 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,43],[0,4,90],[0,5,77],[0,6,57],[0,7,16],[1,3,51],[1,6,23],[2,3,57],[2,4,79],[2,5,84],[2,6,35],[3,5,71],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=16,(1,6)=23,(2,6)=35,(4,5)=35,(0,2)=43,(0,3)=43,(1,3)=51,(0,6)=57,(2,3)=57,(3,5)=71,(0,5)=77,(2,4)=79,(2,5)=84,(0,4)=90]\",\"Process\":[\"Find(0)=0, Find(7)=7, Add (0,7)=16 Succeeded, w=16\",\"Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=39\",\"Find(2)=2, Find(6)=1, Add (2,6)=35 Succeeded, w=74\",\"Find(4)=4, Find(5)=5, Add (4,5)=35 Succeeded, w=109\",\"Find(0)=0, Find(2)=1, Add (0,2)=43 Succeeded, w=152\",\"Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=195\",\"Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=195\",\"Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=195\",\"Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=195\",\"Find(3)=0, Find(5)=4, Add (3,5)=71 Succeeded, w=266\",\"Find(0)=0, Find(5)=0, Add (0,5)=77 Failed, w=266\",\"Find(2)=0, Find(4)=0, Add (2,4)=79 Failed, w=266\",\"Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=266\",\"Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,43],[0,3,43],[0,4,90],[0,5,77],[0,6,57],[0,7,16],[1,3,51],[1,6,23],[2,3,57],[2,4,79],[2,5,84],[2,6,35],[3,5,71],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,7)=16,(1,6)=23,(2,6)=35,(4,5)=35,(0,2)=43,(0,3)=43,(1,3)=51,(0,6)=57,(2,3)=57,(3,5)=71,(0,5)=77,(2,4)=79,(2,5)=84,(0,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 0}, Find(1)=1, Find(6)=6, Add (1,6)=23 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1, 7: 0}, Find(2)=2, Find(6)=1, Add (2,6)=35 Succeeded, w=74\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 1, 7: 0}, Find(4)=4, Find(5)=5, Add (4,5)=35 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 4, 5: 4, 6: 1, 7: 0}, Find(0)=0, Find(2)=1, Add (0,2)=43 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 4, 6: 1, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=43 Succeeded, w=195\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 4, 6: 1, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 4, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=57 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 4, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=57 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0, 7: 0}, Find(3)=0, Find(5)=4, Add (3,5)=71 Succeeded, w=266\",\"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)=77 Failed, w=266\",\"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)=79 Failed, w=266\",\"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)=84 Failed, w=266\",\"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)=90 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,67],[0,2,33],[0,4,32],[0,6,15],[1,2,64],[1,3,94],[1,6,20],[2,3,6],[2,4,76],[2,6,50],[3,4,66],[3,5,41],[3,6,89],[4,5,47],[4,6,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,33],[0,4,32],[0,6,15],[1,2,64],[1,3,94],[1,6,20],[2,3,6],[2,4,76],[2,6,50],[3,4,66],[3,5,41],[3,6,89],[4,5,47],[4,6,67]]}",
"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],\"edges\":[[0,1,67],[0,2,33],[0,4,32],[0,6,15],[1,2,64],[1,3,94],[1,6,20],[2,3,6],[2,4,76],[2,6,50],[3,4,66],[3,5,41],[3,6,89],[4,5,47],[4,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,6)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,33],[0,4,32],[0,6,15],[1,2,64],[1,3,94],[1,6,20],[2,3,6],[2,4,76],[2,6,50],[3,4,66],[3,5,41],[3,6,89],[4,5,47],[4,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6, w=6\",\"Add (0,6)=15, w=21\",\"Add (1,6)=20, w=41\",\"Add (0,4)=32, w=73\",\"Add (0,2)=33, w=106\",\"Add (3,5)=41, 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],\"edges\":[[0,1,67],[0,2,33],[0,4,32],[0,6,15],[1,2,64],[1,3,94],[1,6,20],[2,3,6],[2,4,76],[2,6,50],[3,4,66],[3,5,41],[3,6,89],[4,5,47],[4,6,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=6 Succeeded, w=6\",\"Add (0,6)=15 Succeeded, w=21\",\"Add (1,6)=20 Succeeded, w=41\",\"Add (0,4)=32 Succeeded, w=73\",\"Add (0,2)=33 Succeeded, w=106\",\"Add (3,5)=41 Succeeded, w=147\",\"Add (4,5)=47 Failed, w=147\",\"Add (2,6)=50 Failed, w=147\",\"Add (1,2)=64 Failed, w=147\",\"Add (3,4)=66 Failed, w=147\",\"Add (0,1)=67 Failed, w=147\",\"Add (4,6)=67 Failed, w=147\",\"Add (2,4)=76 Failed, w=147\",\"Add (3,6)=89 Failed, w=147\",\"Add (1,3)=94 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],\"edges\":[[0,1,67],[0,2,33],[0,4,32],[0,6,15],[1,2,64],[1,3,94],[1,6,20],[2,3,6],[2,4,76],[2,6,50],[3,4,66],[3,5,41],[3,6,89],[4,5,47],[4,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(0,6)=15,(1,6)=20,(0,4)=32,(0,2)=33,(3,5)=41,(4,5)=47,(2,6)=50,(1,2)=64,(3,4)=66,(0,1)=67,(4,6)=67,(2,4)=76,(3,6)=89,(1,3)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=21\",\"Find(1)=1, Find(6)=0, Add (1,6)=20 Succeeded, w=41\",\"Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=73\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=106\",\"Find(3)=0, Find(5)=5, Add (3,5)=41 Succeeded, w=147\",\"Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=147\",\"Find(2)=0, Find(6)=0, Add (2,6)=50 Failed, w=147\",\"Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=147\",\"Find(3)=0, Find(4)=0, Add (3,4)=66 Failed, w=147\",\"Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=147\",\"Find(4)=0, Find(6)=0, Add (4,6)=67 Failed, w=147\",\"Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=147\",\"Find(3)=0, Find(6)=0, Add (3,6)=89 Failed, w=147\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 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],\"edges\":[[0,1,67],[0,2,33],[0,4,32],[0,6,15],[1,2,64],[1,3,94],[1,6,20],[2,3,6],[2,4,76],[2,6,50],[3,4,66],[3,5,41],[3,6,89],[4,5,47],[4,6,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=6,(0,6)=15,(1,6)=20,(0,4)=32,(0,2)=33,(3,5)=41,(4,5)=47,(2,6)=50,(1,2)=64,(3,4)=66,(0,1)=67,(4,6)=67,(2,4)=76,(3,6)=89,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=20 Succeeded, w=41\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=32 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=5, Add (3,5)=41 Succeeded, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=50 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=64 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=66 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=67 Failed, w=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=76 Failed, w=147\",\"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=147\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,41],[0,2,100],[0,3,24],[0,4,8],[0,5,29],[1,2,21],[1,3,77],[1,4,87],[1,5,70],[2,3,94],[2,4,30],[2,5,32],[3,4,72],[3,5,47],[4,5,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,100],[0,3,24],[0,4,8],[0,5,29],[1,2,21],[1,3,77],[1,4,87],[1,5,70],[2,3,94],[2,4,30],[2,5,32],[3,4,72],[3,5,47],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,100],[0,3,24],[0,4,8],[0,5,29],[1,2,21],[1,3,77],[1,4,87],[1,5,70],[2,3,94],[2,4,30],[2,5,32],[3,4,72],[3,5,47],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,100],[0,3,24],[0,4,8],[0,5,29],[1,2,21],[1,3,77],[1,4,87],[1,5,70],[2,3,94],[2,4,30],[2,5,32],[3,4,72],[3,5,47],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8, w=8\",\"Add (4,5)=19, w=27\",\"Add (1,2)=21, w=48\",\"Add (0,3)=24, w=72\",\"Add (2,4)=30, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,100],[0,3,24],[0,4,8],[0,5,29],[1,2,21],[1,3,77],[1,4,87],[1,5,70],[2,3,94],[2,4,30],[2,5,32],[3,4,72],[3,5,47],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8 Succeeded, w=8\",\"Add (4,5)=19 Succeeded, w=27\",\"Add (1,2)=21 Succeeded, w=48\",\"Add (0,3)=24 Succeeded, w=72\",\"Add (0,5)=29 Failed, w=72\",\"Add (2,4)=30 Succeeded, w=102\",\"Add (2,5)=32 Failed, w=102\",\"Add (0,1)=41 Failed, w=102\",\"Add (3,5)=47 Failed, w=102\",\"Add (1,5)=70 Failed, w=102\",\"Add (3,4)=72 Failed, w=102\",\"Add (1,3)=77 Failed, w=102\",\"Add (1,4)=87 Failed, w=102\",\"Add (2,3)=94 Failed, w=102\",\"Add (0,2)=100 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,100],[0,3,24],[0,4,8],[0,5,29],[1,2,21],[1,3,77],[1,4,87],[1,5,70],[2,3,94],[2,4,30],[2,5,32],[3,4,72],[3,5,47],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(4,5)=19,(1,2)=21,(0,3)=24,(0,5)=29,(2,4)=30,(2,5)=32,(0,1)=41,(3,5)=47,(1,5)=70,(3,4)=72,(1,3)=77,(1,4)=87,(2,3)=94,(0,2)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(4)=0, Find(5)=5, Add (4,5)=19 Succeeded, w=27\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=48\",\"Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=72\",\"Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=72\",\"Find(2)=1, Find(4)=0, Add (2,4)=30 Succeeded, w=102\",\"Find(2)=1, Find(5)=1, Add (2,5)=32 Failed, w=102\",\"Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=102\",\"Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=102\",\"Find(1)=1, Find(5)=1, Add (1,5)=70 Failed, w=102\",\"Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=102\",\"Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=102\",\"Find(1)=1, Find(4)=1, Add (1,4)=87 Failed, w=102\",\"Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=102\",\"Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,41],[0,2,100],[0,3,24],[0,4,8],[0,5,29],[1,2,21],[1,3,77],[1,4,87],[1,5,70],[2,3,94],[2,4,30],[2,5,32],[3,4,72],[3,5,47],[4,5,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(4,5)=19,(1,2)=21,(0,3)=24,(0,5)=29,(2,4)=30,(2,5)=32,(0,1)=41,(3,5)=47,(1,5)=70,(3,4)=72,(1,3)=77,(1,4)=87,(2,3)=94,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=19 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=24 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=29 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0}, Find(2)=1, Find(4)=0, Add (2,4)=30 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=32 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=41 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=70 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=77 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=87 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=100 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,70],[0,4,86],[1,2,58],[2,3,57],[2,4,62],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,70],[0,4,86],[1,2,58],[2,3,57],[2,4,62],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,70],[0,4,86],[1,2,58],[2,3,57],[2,4,62],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,70],[0,4,86],[1,2,58],[2,3,57],[2,4,62],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=27, w=27\",\"Add (2,3)=57, w=84\",\"Add (1,2)=58, w=142\",\"Add (0,3)=70, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,70],[0,4,86],[1,2,58],[2,3,57],[2,4,62],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=27 Succeeded, w=27\",\"Add (2,3)=57 Succeeded, w=84\",\"Add (1,2)=58 Succeeded, w=142\",\"Add (2,4)=62 Failed, w=142\",\"Add (0,3)=70 Succeeded, w=212\",\"Add (0,4)=86 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,70],[0,4,86],[1,2,58],[2,3,57],[2,4,62],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=27,(2,3)=57,(1,2)=58,(2,4)=62,(0,3)=70,(0,4)=86]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=27\",\"Find(2)=2, Find(3)=3, Add (2,3)=57 Succeeded, w=84\",\"Find(1)=1, Find(2)=3, Add (1,2)=58 Succeeded, w=142\",\"Find(2)=3, Find(4)=3, Add (2,4)=62 Failed, w=142\",\"Find(0)=0, Find(3)=3, Add (0,3)=70 Succeeded, w=212\",\"Find(0)=3, Find(4)=3, Add (0,4)=86 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,70],[0,4,86],[1,2,58],[2,3,57],[2,4,62],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=27,(2,3)=57,(1,2)=58,(2,4)=62,(0,3)=70,(0,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=57 Succeeded, w=84\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(2)=3, Add (1,2)=58 Succeeded, w=142\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=62 Failed, w=142\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=70 Succeeded, w=212\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=86 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,13],[1,2,24],[1,3,51],[2,3,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[1,2,24],[1,3,51],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[1,2,24],[1,3,51],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[1,2,24],[1,3,51],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (2,3)=18, w=31\",\"Add (1,2)=24, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[1,2,24],[1,3,51],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (2,3)=18 Succeeded, w=31\",\"Add (1,2)=24 Succeeded, w=55\",\"Add (1,3)=51 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[1,2,24],[1,3,51],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(2,3)=18,(1,2)=24,(1,3)=51]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=31\",\"Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=55\",\"Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[1,2,24],[1,3,51],[2,3,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(2,3)=18,(1,2)=24,(1,3)=51]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=18 Succeeded, w=31\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=51 Failed, w=55\"],\"Answer\":55}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,47],[0,2,9],[0,3,47],[0,4,35],[0,5,14],[0,6,49],[0,7,6],[1,2,27],[1,3,17],[1,4,70],[1,5,27],[1,6,13],[1,7,32],[2,3,56],[2,4,36],[2,5,56],[2,6,66],[2,7,94],[3,4,26],[3,5,90],[3,6,3],[3,7,93],[4,5,6],[4,6,88],[4,7,5],[5,6,49],[5,7,46],[6,7,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,9],[0,3,47],[0,4,35],[0,5,14],[0,6,49],[0,7,6],[1,2,27],[1,3,17],[1,4,70],[1,5,27],[1,6,13],[1,7,32],[2,3,56],[2,4,36],[2,5,56],[2,6,66],[2,7,94],[3,4,26],[3,5,90],[3,6,3],[3,7,93],[4,5,6],[4,6,88],[4,7,5],[5,6,49],[5,7,46],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,9],[0,3,47],[0,4,35],[0,5,14],[0,6,49],[0,7,6],[1,2,27],[1,3,17],[1,4,70],[1,5,27],[1,6,13],[1,7,32],[2,3,56],[2,4,36],[2,5,56],[2,6,66],[2,7,94],[3,4,26],[3,5,90],[3,6,3],[3,7,93],[4,5,6],[4,6,88],[4,7,5],[5,6,49],[5,7,46],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (4,7)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (1,6)\",\"Add (6,7)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,9],[0,3,47],[0,4,35],[0,5,14],[0,6,49],[0,7,6],[1,2,27],[1,3,17],[1,4,70],[1,5,27],[1,6,13],[1,7,32],[2,3,56],[2,4,36],[2,5,56],[2,6,66],[2,7,94],[3,4,26],[3,5,90],[3,6,3],[3,7,93],[4,5,6],[4,6,88],[4,7,5],[5,6,49],[5,7,46],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3, w=3\",\"Add (4,7)=5, w=8\",\"Add (0,7)=6, w=14\",\"Add (4,5)=6, w=20\",\"Add (0,2)=9, w=29\",\"Add (1,6)=13, w=42\",\"Add (6,7)=21, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,9],[0,3,47],[0,4,35],[0,5,14],[0,6,49],[0,7,6],[1,2,27],[1,3,17],[1,4,70],[1,5,27],[1,6,13],[1,7,32],[2,3,56],[2,4,36],[2,5,56],[2,6,66],[2,7,94],[3,4,26],[3,5,90],[3,6,3],[3,7,93],[4,5,6],[4,6,88],[4,7,5],[5,6,49],[5,7,46],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=3 Succeeded, w=3\",\"Add (4,7)=5 Succeeded, w=8\",\"Add (0,7)=6 Succeeded, w=14\",\"Add (4,5)=6 Succeeded, w=20\",\"Add (0,2)=9 Succeeded, w=29\",\"Add (1,6)=13 Succeeded, w=42\",\"Add (0,5)=14 Failed, w=42\",\"Add (1,3)=17 Failed, w=42\",\"Add (6,7)=21 Succeeded, w=63\",\"Add (3,4)=26 Failed, w=63\",\"Add (1,2)=27 Failed, w=63\",\"Add (1,5)=27 Failed, w=63\",\"Add (1,7)=32 Failed, w=63\",\"Add (0,4)=35 Failed, w=63\",\"Add (2,4)=36 Failed, w=63\",\"Add (5,7)=46 Failed, w=63\",\"Add (0,1)=47 Failed, w=63\",\"Add (0,3)=47 Failed, w=63\",\"Add (0,6)=49 Failed, w=63\",\"Add (5,6)=49 Failed, w=63\",\"Add (2,3)=56 Failed, w=63\",\"Add (2,5)=56 Failed, w=63\",\"Add (2,6)=66 Failed, w=63\",\"Add (1,4)=70 Failed, w=63\",\"Add (4,6)=88 Failed, w=63\",\"Add (3,5)=90 Failed, w=63\",\"Add (3,7)=93 Failed, w=63\",\"Add (2,7)=94 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,9],[0,3,47],[0,4,35],[0,5,14],[0,6,49],[0,7,6],[1,2,27],[1,3,17],[1,4,70],[1,5,27],[1,6,13],[1,7,32],[2,3,56],[2,4,36],[2,5,56],[2,6,66],[2,7,94],[3,4,26],[3,5,90],[3,6,3],[3,7,93],[4,5,6],[4,6,88],[4,7,5],[5,6,49],[5,7,46],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(4,7)=5,(0,7)=6,(4,5)=6,(0,2)=9,(1,6)=13,(0,5)=14,(1,3)=17,(6,7)=21,(3,4)=26,(1,2)=27,(1,5)=27,(1,7)=32,(0,4)=35,(2,4)=36,(5,7)=46,(0,1)=47,(0,3)=47,(0,6)=49,(5,6)=49,(2,3)=56,(2,5)=56,(2,6)=66,(1,4)=70,(4,6)=88,(3,5)=90,(3,7)=93,(2,7)=94]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Find(4)=4, Find(7)=7, Add (4,7)=5 Succeeded, w=8\",\"Find(0)=0, Find(7)=4, Add (0,7)=6 Succeeded, w=14\",\"Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=20\",\"Find(0)=4, Find(2)=2, Add (0,2)=9 Succeeded, w=29\",\"Find(1)=1, Find(6)=3, Add (1,6)=13 Succeeded, w=42\",\"Find(0)=4, Find(5)=4, Add (0,5)=14 Failed, w=42\",\"Find(1)=3, Find(3)=3, Add (1,3)=17 Failed, w=42\",\"Find(6)=3, Find(7)=4, Add (6,7)=21 Succeeded, w=63\",\"Find(3)=3, Find(4)=3, Add (3,4)=26 Failed, w=63\",\"Find(1)=3, Find(2)=3, Add (1,2)=27 Failed, w=63\",\"Find(1)=3, Find(5)=3, Add (1,5)=27 Failed, w=63\",\"Find(1)=3, Find(7)=3, Add (1,7)=32 Failed, w=63\",\"Find(0)=3, Find(4)=3, Add (0,4)=35 Failed, w=63\",\"Find(2)=3, Find(4)=3, Add (2,4)=36 Failed, w=63\",\"Find(5)=3, Find(7)=3, Add (5,7)=46 Failed, w=63\",\"Find(0)=3, Find(1)=3, Add (0,1)=47 Failed, w=63\",\"Find(0)=3, Find(3)=3, Add (0,3)=47 Failed, w=63\",\"Find(0)=3, Find(6)=3, Add (0,6)=49 Failed, w=63\",\"Find(5)=3, Find(6)=3, Add (5,6)=49 Failed, w=63\",\"Find(2)=3, Find(3)=3, Add (2,3)=56 Failed, w=63\",\"Find(2)=3, Find(5)=3, Add (2,5)=56 Failed, w=63\",\"Find(2)=3, Find(6)=3, Add (2,6)=66 Failed, w=63\",\"Find(1)=3, Find(4)=3, Add (1,4)=70 Failed, w=63\",\"Find(4)=3, Find(6)=3, Add (4,6)=88 Failed, w=63\",\"Find(3)=3, Find(5)=3, Add (3,5)=90 Failed, w=63\",\"Find(3)=3, Find(7)=3, Add (3,7)=93 Failed, w=63\",\"Find(2)=3, Find(7)=3, Add (2,7)=94 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,47],[0,2,9],[0,3,47],[0,4,35],[0,5,14],[0,6,49],[0,7,6],[1,2,27],[1,3,17],[1,4,70],[1,5,27],[1,6,13],[1,7,32],[2,3,56],[2,4,36],[2,5,56],[2,6,66],[2,7,94],[3,4,26],[3,5,90],[3,6,3],[3,7,93],[4,5,6],[4,6,88],[4,7,5],[5,6,49],[5,7,46],[6,7,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=3,(4,7)=5,(0,7)=6,(4,5)=6,(0,2)=9,(1,6)=13,(0,5)=14,(1,3)=17,(6,7)=21,(3,4)=26,(1,2)=27,(1,5)=27,(1,7)=32,(0,4)=35,(2,4)=36,(5,7)=46,(0,1)=47,(0,3)=47,(0,6)=49,(5,6)=49,(2,3)=56,(2,5)=56,(2,6)=66,(1,4)=70,(4,6)=88,(3,5)=90,(3,7)=93,(2,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=5 Succeeded, w=8\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 4}, Find(0)=0, Find(7)=4, Add (0,7)=6 Succeeded, w=14\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 3, 7: 4}, Find(4)=4, Find(5)=5, Add (4,5)=6 Succeeded, w=20\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3, 7: 4}, Find(0)=4, Find(2)=2, Add (0,2)=9 Succeeded, w=29\",\"Parent: {0: 4, 1: 3, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3, 7: 4}, Find(1)=1, Find(6)=3, Add (1,6)=13 Succeeded, w=42\",\"Parent: {0: 4, 1: 3, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=14 Failed, w=42\",\"Parent: {0: 4, 1: 3, 2: 4, 3: 3, 4: 4, 5: 4, 6: 3, 7: 4}, Find(1)=3, Find(3)=3, Add (1,3)=17 Failed, w=42\",\"Parent: {0: 4, 1: 3, 2: 4, 3: 3, 4: 3, 5: 4, 6: 3, 7: 4}, Find(6)=3, Find(7)=4, Add (6,7)=21 Succeeded, w=63\",\"Parent: {0: 4, 1: 3, 2: 4, 3: 3, 4: 3, 5: 4, 6: 3, 7: 4}, Find(3)=3, Find(4)=3, Add (3,4)=26 Failed, w=63\",\"Parent: {0: 4, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4, 6: 3, 7: 4}, Find(1)=3, Find(2)=3, Add (1,2)=27 Failed, w=63\",\"Parent: {0: 4, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 4}, Find(1)=3, Find(5)=3, Add (1,5)=27 Failed, w=63\",\"Parent: {0: 4, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=32 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=35 Failed, w=63\",\"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)=36 Failed, w=63\",\"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)=46 Failed, w=63\",\"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)=47 Failed, w=63\",\"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)=47 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=49 Failed, w=63\",\"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)=49 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=56 Failed, w=63\",\"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)=56 Failed, w=63\",\"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=63\",\"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)=70 Failed, w=63\",\"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)=88 Failed, w=63\",\"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)=90 Failed, w=63\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=93 Failed, w=63\",\"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)=94 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,11],[0,2,81],[0,3,25],[0,4,21],[1,2,51],[1,3,22],[1,4,30],[2,3,76],[2,4,62],[3,4,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,81],[0,3,25],[0,4,21],[1,2,51],[1,3,22],[1,4,30],[2,3,76],[2,4,62],[3,4,41]]}",
"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\":[[0,1,11],[0,2,81],[0,3,25],[0,4,21],[1,2,51],[1,3,22],[1,4,30],[2,3,76],[2,4,62],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,81],[0,3,25],[0,4,21],[1,2,51],[1,3,22],[1,4,30],[2,3,76],[2,4,62],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (0,4)=21, w=32\",\"Add (1,3)=22, w=54\",\"Add (1,2)=51, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,11],[0,2,81],[0,3,25],[0,4,21],[1,2,51],[1,3,22],[1,4,30],[2,3,76],[2,4,62],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (0,4)=21 Succeeded, w=32\",\"Add (1,3)=22 Succeeded, w=54\",\"Add (0,3)=25 Failed, w=54\",\"Add (1,4)=30 Failed, w=54\",\"Add (3,4)=41 Failed, w=54\",\"Add (1,2)=51 Succeeded, w=105\",\"Add (2,4)=62 Failed, w=105\",\"Add (2,3)=76 Failed, w=105\",\"Add (0,2)=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\":[[0,1,11],[0,2,81],[0,3,25],[0,4,21],[1,2,51],[1,3,22],[1,4,30],[2,3,76],[2,4,62],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,4)=21,(1,3)=22,(0,3)=25,(1,4)=30,(3,4)=41,(1,2)=51,(2,4)=62,(2,3)=76,(0,2)=81]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=32\",\"Find(1)=0, Find(3)=3, Add (1,3)=22 Succeeded, w=54\",\"Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=54\",\"Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=54\",\"Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=54\",\"Find(1)=0, Find(2)=2, Add (1,2)=51 Succeeded, w=105\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=105\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=105\",\"Find(0)=0, Find(2)=0, Add (0,2)=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\":[[0,1,11],[0,2,81],[0,3,25],[0,4,21],[1,2,51],[1,3,22],[1,4,30],[2,3,76],[2,4,62],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,4)=21,(1,3)=22,(0,3)=25,(1,4)=30,(3,4)=41,(1,2)=51,(2,4)=62,(2,3)=76,(0,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=22 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=25 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=41 Failed, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=2, Add (1,2)=51 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,49],[0,2,100],[0,3,91],[1,2,20],[1,3,56],[2,4,10]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,100],[0,3,91],[1,2,20],[1,3,56],[2,4,10]]}",
"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\":[[0,1,49],[0,2,100],[0,3,91],[1,2,20],[1,3,56],[2,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,100],[0,3,91],[1,2,20],[1,3,56],[2,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10, w=10\",\"Add (1,2)=20, w=30\",\"Add (0,1)=49, w=79\",\"Add (1,3)=56, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,49],[0,2,100],[0,3,91],[1,2,20],[1,3,56],[2,4,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=10 Succeeded, w=10\",\"Add (1,2)=20 Succeeded, w=30\",\"Add (0,1)=49 Succeeded, w=79\",\"Add (1,3)=56 Succeeded, w=135\",\"Add (0,3)=91 Failed, w=135\",\"Add (0,2)=100 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\":[[0,1,49],[0,2,100],[0,3,91],[1,2,20],[1,3,56],[2,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(1,2)=20,(0,1)=49,(1,3)=56,(0,3)=91,(0,2)=100]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=30\",\"Find(0)=0, Find(1)=2, Add (0,1)=49 Succeeded, w=79\",\"Find(1)=2, Find(3)=3, Add (1,3)=56 Succeeded, w=135\",\"Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=135\",\"Find(0)=2, Find(2)=2, Add (0,2)=100 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\":[[0,1,49],[0,2,100],[0,3,91],[1,2,20],[1,3,56],[2,4,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=10,(1,2)=20,(0,1)=49,(1,3)=56,(0,3)=91,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=30\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=49 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=56 Succeeded, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,76],[0,2,50],[0,3,86],[0,4,3],[1,2,34],[1,4,88],[1,5,93],[2,4,49],[3,4,98],[3,5,46]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,50],[0,3,86],[0,4,3],[1,2,34],[1,4,88],[1,5,93],[2,4,49],[3,4,98],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,50],[0,3,86],[0,4,3],[1,2,34],[1,4,88],[1,5,93],[2,4,49],[3,4,98],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,50],[0,3,86],[0,4,3],[1,2,34],[1,4,88],[1,5,93],[2,4,49],[3,4,98],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3, w=3\",\"Add (1,2)=34, w=37\",\"Add (3,5)=46, w=83\",\"Add (2,4)=49, w=132\",\"Add (0,3)=86, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,50],[0,3,86],[0,4,3],[1,2,34],[1,4,88],[1,5,93],[2,4,49],[3,4,98],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=3 Succeeded, w=3\",\"Add (1,2)=34 Succeeded, w=37\",\"Add (3,5)=46 Succeeded, w=83\",\"Add (2,4)=49 Succeeded, w=132\",\"Add (0,2)=50 Failed, w=132\",\"Add (0,1)=76 Failed, w=132\",\"Add (0,3)=86 Succeeded, w=218\",\"Add (1,4)=88 Failed, w=218\",\"Add (1,5)=93 Failed, w=218\",\"Add (3,4)=98 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,50],[0,3,86],[0,4,3],[1,2,34],[1,4,88],[1,5,93],[2,4,49],[3,4,98],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,2)=34,(3,5)=46,(2,4)=49,(0,2)=50,(0,1)=76,(0,3)=86,(1,4)=88,(1,5)=93,(3,4)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=37\",\"Find(3)=3, Find(5)=5, Add (3,5)=46 Succeeded, w=83\",\"Find(2)=1, Find(4)=0, Add (2,4)=49 Succeeded, w=132\",\"Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=132\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=132\",\"Find(0)=1, Find(3)=3, Add (0,3)=86 Succeeded, w=218\",\"Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=218\",\"Find(1)=1, Find(5)=1, Add (1,5)=93 Failed, w=218\",\"Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,76],[0,2,50],[0,3,86],[0,4,3],[1,2,34],[1,4,88],[1,5,93],[2,4,49],[3,4,98],[3,5,46]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=3,(1,2)=34,(3,5)=46,(2,4)=49,(0,2)=50,(0,1)=76,(0,3)=86,(1,4)=88,(1,5)=93,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=46 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3}, Find(2)=1, Find(4)=0, Add (2,4)=49 Succeeded, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3}, Find(0)=1, Find(2)=1, Add (0,2)=50 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=132\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3}, Find(0)=1, Find(3)=3, Add (0,3)=86 Succeeded, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=93 Failed, w=218\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=218\"],\"Answer\":218}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,46],[0,2,31],[0,3,51],[1,2,43],[1,3,67],[2,3,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,31],[0,3,51],[1,2,43],[1,3,67],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,31],[0,3,51],[1,2,43],[1,3,67],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,31],[0,3,51],[1,2,43],[1,3,67],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15, w=15\",\"Add (0,2)=31, w=46\",\"Add (1,2)=43, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,31],[0,3,51],[1,2,43],[1,3,67],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=15 Succeeded, w=15\",\"Add (0,2)=31 Succeeded, w=46\",\"Add (1,2)=43 Succeeded, w=89\",\"Add (0,1)=46 Failed, w=89\",\"Add (0,3)=51 Failed, w=89\",\"Add (1,3)=67 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,31],[0,3,51],[1,2,43],[1,3,67],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,2)=31,(1,2)=43,(0,1)=46,(0,3)=51,(1,3)=67]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=46\",\"Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=89\",\"Find(0)=2, Find(1)=2, Add (0,1)=46 Failed, w=89\",\"Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=89\",\"Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,46],[0,2,31],[0,3,51],[1,2,43],[1,3,67],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=15,(0,2)=31,(1,2)=43,(0,1)=46,(0,3)=51,(1,3)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=15 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=46\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=43 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=46 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=51 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=67 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,21],[0,2,43],[0,3,98],[1,2,84],[1,3,80],[1,4,66],[2,3,45],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,43],[0,3,98],[1,2,84],[1,3,80],[1,4,66],[2,3,45],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,43],[0,3,98],[1,2,84],[1,3,80],[1,4,66],[2,3,45],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,43],[0,3,98],[1,2,84],[1,3,80],[1,4,66],[2,3,45],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=21, w=21\",\"Add (0,2)=43, w=64\",\"Add (2,3)=45, w=109\",\"Add (1,4)=66, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,43],[0,3,98],[1,2,84],[1,3,80],[1,4,66],[2,3,45],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=21 Succeeded, w=21\",\"Add (0,2)=43 Succeeded, w=64\",\"Add (2,3)=45 Succeeded, w=109\",\"Add (1,4)=66 Succeeded, w=175\",\"Add (1,3)=80 Failed, w=175\",\"Add (1,2)=84 Failed, w=175\",\"Add (3,4)=94 Failed, w=175\",\"Add (0,3)=98 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,43],[0,3,98],[1,2,84],[1,3,80],[1,4,66],[2,3,45],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=21,(0,2)=43,(2,3)=45,(1,4)=66,(1,3)=80,(1,2)=84,(3,4)=94,(0,3)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=64\",\"Find(2)=0, Find(3)=3, Add (2,3)=45 Succeeded, w=109\",\"Find(1)=0, Find(4)=4, Add (1,4)=66 Succeeded, w=175\",\"Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=175\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=175\",\"Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=175\",\"Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,21],[0,2,43],[0,3,98],[1,2,84],[1,3,80],[1,4,66],[2,3,45],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=21,(0,2)=43,(2,3)=45,(1,4)=66,(1,3)=80,(1,2)=84,(3,4)=94,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=45 Succeeded, w=109\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=66 Succeeded, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=94 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=98 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,20],[0,2,17],[0,3,55],[1,2,7],[1,3,18],[2,3,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,17],[0,3,55],[1,2,7],[1,3,18],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,17],[0,3,55],[1,2,7],[1,3,18],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,17],[0,3,55],[1,2,7],[1,3,18],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7, w=7\",\"Add (0,2)=17, w=24\",\"Add (1,3)=18, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,17],[0,3,55],[1,2,7],[1,3,18],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7 Succeeded, w=7\",\"Add (0,2)=17 Succeeded, w=24\",\"Add (1,3)=18 Succeeded, w=42\",\"Add (0,1)=20 Failed, w=42\",\"Add (0,3)=55 Failed, w=42\",\"Add (2,3)=77 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,17],[0,3,55],[1,2,7],[1,3,18],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(0,2)=17,(1,3)=18,(0,1)=20,(0,3)=55,(2,3)=77]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=1, Add (0,2)=17 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=42\",\"Find(0)=1, Find(1)=1, Add (0,1)=20 Failed, w=42\",\"Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=42\",\"Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,20],[0,2,17],[0,3,55],[1,2,7],[1,3,18],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(0,2)=17,(1,3)=18,(0,1)=20,(0,3)=55,(2,3)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=17 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=20 Failed, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=77 Failed, w=42\"],\"Answer\":42}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,19],[0,2,46],[0,3,79],[0,4,41],[0,5,57],[0,6,22],[1,2,41],[1,3,81],[1,6,68],[2,4,22],[2,5,71],[2,6,42],[3,5,82],[4,5,63],[4,6,1],[5,6,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,46],[0,3,79],[0,4,41],[0,5,57],[0,6,22],[1,2,41],[1,3,81],[1,6,68],[2,4,22],[2,5,71],[2,6,42],[3,5,82],[4,5,63],[4,6,1],[5,6,85]]}",
"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],\"edges\":[[0,1,19],[0,2,46],[0,3,79],[0,4,41],[0,5,57],[0,6,22],[1,2,41],[1,3,81],[1,6,68],[2,4,22],[2,5,71],[2,6,42],[3,5,82],[4,5,63],[4,6,1],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (0,3)\"],\"Answer\":200}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,46],[0,3,79],[0,4,41],[0,5,57],[0,6,22],[1,2,41],[1,3,81],[1,6,68],[2,4,22],[2,5,71],[2,6,42],[3,5,82],[4,5,63],[4,6,1],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1, w=1\",\"Add (0,1)=19, w=20\",\"Add (0,6)=22, w=42\",\"Add (2,4)=22, w=64\",\"Add (0,5)=57, w=121\",\"Add (0,3)=79, 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],\"edges\":[[0,1,19],[0,2,46],[0,3,79],[0,4,41],[0,5,57],[0,6,22],[1,2,41],[1,3,81],[1,6,68],[2,4,22],[2,5,71],[2,6,42],[3,5,82],[4,5,63],[4,6,1],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=1 Succeeded, w=1\",\"Add (0,1)=19 Succeeded, w=20\",\"Add (0,6)=22 Succeeded, w=42\",\"Add (2,4)=22 Succeeded, w=64\",\"Add (0,4)=41 Failed, w=64\",\"Add (1,2)=41 Failed, w=64\",\"Add (2,6)=42 Failed, w=64\",\"Add (0,2)=46 Failed, w=64\",\"Add (0,5)=57 Succeeded, w=121\",\"Add (4,5)=63 Failed, w=121\",\"Add (1,6)=68 Failed, w=121\",\"Add (2,5)=71 Failed, w=121\",\"Add (0,3)=79 Succeeded, w=200\",\"Add (1,3)=81 Failed, w=200\",\"Add (3,5)=82 Failed, w=200\",\"Add (5,6)=85 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],\"edges\":[[0,1,19],[0,2,46],[0,3,79],[0,4,41],[0,5,57],[0,6,22],[1,2,41],[1,3,81],[1,6,68],[2,4,22],[2,5,71],[2,6,42],[3,5,82],[4,5,63],[4,6,1],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(0,1)=19,(0,6)=22,(2,4)=22,(0,4)=41,(1,2)=41,(2,6)=42,(0,2)=46,(0,5)=57,(4,5)=63,(1,6)=68,(2,5)=71,(0,3)=79,(1,3)=81,(3,5)=82,(5,6)=85]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=20\",\"Find(0)=0, Find(6)=4, Add (0,6)=22 Succeeded, w=42\",\"Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=64\",\"Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=64\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=64\",\"Find(2)=0, Find(6)=0, Add (2,6)=42 Failed, w=64\",\"Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=64\",\"Find(0)=0, Find(5)=5, Add (0,5)=57 Succeeded, w=121\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=121\",\"Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=121\",\"Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=121\",\"Find(0)=0, Find(3)=3, Add (0,3)=79 Succeeded, w=200\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=200\",\"Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=200\",\"Find(5)=0, Find(6)=0, Add (5,6)=85 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],\"edges\":[[0,1,19],[0,2,46],[0,3,79],[0,4,41],[0,5,57],[0,6,22],[1,2,41],[1,3,81],[1,6,68],[2,4,22],[2,5,71],[2,6,42],[3,5,82],[4,5,63],[4,6,1],[5,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=1,(0,1)=19,(0,6)=22,(2,4)=22,(0,4)=41,(1,2)=41,(2,6)=42,(0,2)=46,(0,5)=57,(4,5)=63,(1,6)=68,(2,5)=71,(0,3)=79,(1,3)=81,(3,5)=82,(5,6)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=22 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 4}, Find(2)=2, Find(4)=0, Add (2,4)=22 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 4}, Find(0)=0, Find(4)=0, Add (0,4)=41 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 4}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=42 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=46 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=57 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=68 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=79 Succeeded, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=82 Failed, w=200\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=85 Failed, w=200\"],\"Answer\":200}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,12],[0,2,45],[0,3,38],[0,4,44],[0,5,35],[0,6,49],[0,7,72],[1,2,100],[1,3,44],[1,4,93],[1,6,83],[1,7,42],[2,3,49],[2,4,40],[2,5,8],[2,6,30],[3,4,48],[3,5,80],[3,6,14],[3,7,33],[4,5,68],[4,6,62],[4,7,90],[5,6,37],[5,7,50],[6,7,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,45],[0,3,38],[0,4,44],[0,5,35],[0,6,49],[0,7,72],[1,2,100],[1,3,44],[1,4,93],[1,6,83],[1,7,42],[2,3,49],[2,4,40],[2,5,8],[2,6,30],[3,4,48],[3,5,80],[3,6,14],[3,7,33],[4,5,68],[4,6,62],[4,7,90],[5,6,37],[5,7,50],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,45],[0,3,38],[0,4,44],[0,5,35],[0,6,49],[0,7,72],[1,2,100],[1,3,44],[1,4,93],[1,6,83],[1,7,42],[2,3,49],[2,4,40],[2,5,8],[2,6,30],[3,4,48],[3,5,80],[3,6,14],[3,7,33],[4,5,68],[4,6,62],[4,7,90],[5,6,37],[5,7,50],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (3,6)\",\"Add (2,6)\",\"Add (3,7)\",\"Add (0,5)\",\"Add (2,4)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,45],[0,3,38],[0,4,44],[0,5,35],[0,6,49],[0,7,72],[1,2,100],[1,3,44],[1,4,93],[1,6,83],[1,7,42],[2,3,49],[2,4,40],[2,5,8],[2,6,30],[3,4,48],[3,5,80],[3,6,14],[3,7,33],[4,5,68],[4,6,62],[4,7,90],[5,6,37],[5,7,50],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8, w=8\",\"Add (0,1)=12, w=20\",\"Add (3,6)=14, w=34\",\"Add (2,6)=30, w=64\",\"Add (3,7)=33, w=97\",\"Add (0,5)=35, w=132\",\"Add (2,4)=40, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,45],[0,3,38],[0,4,44],[0,5,35],[0,6,49],[0,7,72],[1,2,100],[1,3,44],[1,4,93],[1,6,83],[1,7,42],[2,3,49],[2,4,40],[2,5,8],[2,6,30],[3,4,48],[3,5,80],[3,6,14],[3,7,33],[4,5,68],[4,6,62],[4,7,90],[5,6,37],[5,7,50],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8 Succeeded, w=8\",\"Add (0,1)=12 Succeeded, w=20\",\"Add (3,6)=14 Succeeded, w=34\",\"Add (2,6)=30 Succeeded, w=64\",\"Add (3,7)=33 Succeeded, w=97\",\"Add (0,5)=35 Succeeded, w=132\",\"Add (5,6)=37 Failed, w=132\",\"Add (0,3)=38 Failed, w=132\",\"Add (2,4)=40 Succeeded, w=172\",\"Add (1,7)=42 Failed, w=172\",\"Add (0,4)=44 Failed, w=172\",\"Add (1,3)=44 Failed, w=172\",\"Add (0,2)=45 Failed, w=172\",\"Add (3,4)=48 Failed, w=172\",\"Add (0,6)=49 Failed, w=172\",\"Add (2,3)=49 Failed, w=172\",\"Add (5,7)=50 Failed, w=172\",\"Add (4,6)=62 Failed, w=172\",\"Add (4,5)=68 Failed, w=172\",\"Add (0,7)=72 Failed, w=172\",\"Add (6,7)=77 Failed, w=172\",\"Add (3,5)=80 Failed, w=172\",\"Add (1,6)=83 Failed, w=172\",\"Add (4,7)=90 Failed, w=172\",\"Add (1,4)=93 Failed, w=172\",\"Add (1,2)=100 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,45],[0,3,38],[0,4,44],[0,5,35],[0,6,49],[0,7,72],[1,2,100],[1,3,44],[1,4,93],[1,6,83],[1,7,42],[2,3,49],[2,4,40],[2,5,8],[2,6,30],[3,4,48],[3,5,80],[3,6,14],[3,7,33],[4,5,68],[4,6,62],[4,7,90],[5,6,37],[5,7,50],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(0,1)=12,(3,6)=14,(2,6)=30,(3,7)=33,(0,5)=35,(5,6)=37,(0,3)=38,(2,4)=40,(1,7)=42,(0,4)=44,(1,3)=44,(0,2)=45,(3,4)=48,(0,6)=49,(2,3)=49,(5,7)=50,(4,6)=62,(4,5)=68,(0,7)=72,(6,7)=77,(3,5)=80,(1,6)=83,(4,7)=90,(1,4)=93,(1,2)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=20\",\"Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=34\",\"Find(2)=2, Find(6)=3, Add (2,6)=30 Succeeded, w=64\",\"Find(3)=2, Find(7)=7, Add (3,7)=33 Succeeded, w=97\",\"Find(0)=0, Find(5)=2, Add (0,5)=35 Succeeded, w=132\",\"Find(5)=2, Find(6)=2, Add (5,6)=37 Failed, w=132\",\"Find(0)=2, Find(3)=2, Add (0,3)=38 Failed, w=132\",\"Find(2)=2, Find(4)=4, Add (2,4)=40 Succeeded, w=172\",\"Find(1)=2, Find(7)=2, Add (1,7)=42 Failed, w=172\",\"Find(0)=2, Find(4)=2, Add (0,4)=44 Failed, w=172\",\"Find(1)=2, Find(3)=2, Add (1,3)=44 Failed, w=172\",\"Find(0)=2, Find(2)=2, Add (0,2)=45 Failed, w=172\",\"Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=172\",\"Find(0)=2, Find(6)=2, Add (0,6)=49 Failed, w=172\",\"Find(2)=2, Find(3)=2, Add (2,3)=49 Failed, w=172\",\"Find(5)=2, Find(7)=2, Add (5,7)=50 Failed, w=172\",\"Find(4)=2, Find(6)=2, Add (4,6)=62 Failed, w=172\",\"Find(4)=2, Find(5)=2, Add (4,5)=68 Failed, w=172\",\"Find(0)=2, Find(7)=2, Add (0,7)=72 Failed, w=172\",\"Find(6)=2, Find(7)=2, Add (6,7)=77 Failed, w=172\",\"Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=172\",\"Find(1)=2, Find(6)=2, Add (1,6)=83 Failed, w=172\",\"Find(4)=2, Find(7)=2, Add (4,7)=90 Failed, w=172\",\"Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=172\",\"Find(1)=2, Find(2)=2, Add (1,2)=100 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,45],[0,3,38],[0,4,44],[0,5,35],[0,6,49],[0,7,72],[1,2,100],[1,3,44],[1,4,93],[1,6,83],[1,7,42],[2,3,49],[2,4,40],[2,5,8],[2,6,30],[3,4,48],[3,5,80],[3,6,14],[3,7,33],[4,5,68],[4,6,62],[4,7,90],[5,6,37],[5,7,50],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(0,1)=12,(3,6)=14,(2,6)=30,(3,7)=33,(0,5)=35,(5,6)=37,(0,3)=38,(2,4)=40,(1,7)=42,(0,4)=44,(1,3)=44,(0,2)=45,(3,4)=48,(0,6)=49,(2,3)=49,(5,7)=50,(4,6)=62,(4,5)=68,(0,7)=72,(6,7)=77,(3,5)=80,(1,6)=83,(4,7)=90,(1,4)=93,(1,2)=100]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3, 7: 7}, Find(2)=2, Find(6)=3, Add (2,6)=30 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3, 7: 2}, Find(3)=2, Find(7)=7, Add (3,7)=33 Succeeded, w=97\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 3, 7: 2}, Find(0)=0, Find(5)=2, Add (0,5)=35 Succeeded, w=132\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=37 Failed, w=132\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=38 Failed, w=132\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=40 Succeeded, w=172\",\"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)=42 Failed, w=172\",\"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)=44 Failed, w=172\",\"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)=44 Failed, w=172\",\"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)=45 Failed, w=172\",\"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)=48 Failed, w=172\",\"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)=49 Failed, w=172\",\"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)=49 Failed, w=172\",\"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=172\",\"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=172\",\"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)=68 Failed, w=172\",\"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)=72 Failed, w=172\",\"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)=77 Failed, w=172\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=172\",\"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)=83 Failed, w=172\",\"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)=90 Failed, w=172\",\"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=172\",\"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)=100 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,71],[0,2,16],[0,3,46],[0,4,92],[0,5,98],[0,6,9],[0,7,97],[1,2,40],[1,3,84],[1,4,90],[1,5,73],[1,6,35],[1,7,40],[2,3,62],[2,4,48],[2,6,12],[2,7,11],[3,4,85],[3,6,63],[3,7,68],[4,5,54],[4,6,84],[5,6,7],[5,7,80],[6,7,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,16],[0,3,46],[0,4,92],[0,5,98],[0,6,9],[0,7,97],[1,2,40],[1,3,84],[1,4,90],[1,5,73],[1,6,35],[1,7,40],[2,3,62],[2,4,48],[2,6,12],[2,7,11],[3,4,85],[3,6,63],[3,7,68],[4,5,54],[4,6,84],[5,6,7],[5,7,80],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,16],[0,3,46],[0,4,92],[0,5,98],[0,6,9],[0,7,97],[1,2,40],[1,3,84],[1,4,90],[1,5,73],[1,6,35],[1,7,40],[2,3,62],[2,4,48],[2,6,12],[2,7,11],[3,4,85],[3,6,63],[3,7,68],[4,5,54],[4,6,84],[5,6,7],[5,7,80],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (0,6)\",\"Add (2,7)\",\"Add (2,6)\",\"Add (1,6)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,16],[0,3,46],[0,4,92],[0,5,98],[0,6,9],[0,7,97],[1,2,40],[1,3,84],[1,4,90],[1,5,73],[1,6,35],[1,7,40],[2,3,62],[2,4,48],[2,6,12],[2,7,11],[3,4,85],[3,6,63],[3,7,68],[4,5,54],[4,6,84],[5,6,7],[5,7,80],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7, w=7\",\"Add (0,6)=9, w=16\",\"Add (2,7)=11, w=27\",\"Add (2,6)=12, w=39\",\"Add (1,6)=35, w=74\",\"Add (0,3)=46, w=120\",\"Add (2,4)=48, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,16],[0,3,46],[0,4,92],[0,5,98],[0,6,9],[0,7,97],[1,2,40],[1,3,84],[1,4,90],[1,5,73],[1,6,35],[1,7,40],[2,3,62],[2,4,48],[2,6,12],[2,7,11],[3,4,85],[3,6,63],[3,7,68],[4,5,54],[4,6,84],[5,6,7],[5,7,80],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=7 Succeeded, w=7\",\"Add (0,6)=9 Succeeded, w=16\",\"Add (2,7)=11 Succeeded, w=27\",\"Add (2,6)=12 Succeeded, w=39\",\"Add (6,7)=12 Failed, w=39\",\"Add (0,2)=16 Failed, w=39\",\"Add (1,6)=35 Succeeded, w=74\",\"Add (1,2)=40 Failed, w=74\",\"Add (1,7)=40 Failed, w=74\",\"Add (0,3)=46 Succeeded, w=120\",\"Add (2,4)=48 Succeeded, w=168\",\"Add (4,5)=54 Failed, w=168\",\"Add (2,3)=62 Failed, w=168\",\"Add (3,6)=63 Failed, w=168\",\"Add (3,7)=68 Failed, w=168\",\"Add (0,1)=71 Failed, w=168\",\"Add (1,5)=73 Failed, w=168\",\"Add (5,7)=80 Failed, w=168\",\"Add (1,3)=84 Failed, w=168\",\"Add (4,6)=84 Failed, w=168\",\"Add (3,4)=85 Failed, w=168\",\"Add (1,4)=90 Failed, w=168\",\"Add (0,4)=92 Failed, w=168\",\"Add (0,7)=97 Failed, w=168\",\"Add (0,5)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,16],[0,3,46],[0,4,92],[0,5,98],[0,6,9],[0,7,97],[1,2,40],[1,3,84],[1,4,90],[1,5,73],[1,6,35],[1,7,40],[2,3,62],[2,4,48],[2,6,12],[2,7,11],[3,4,85],[3,6,63],[3,7,68],[4,5,54],[4,6,84],[5,6,7],[5,7,80],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(0,6)=9,(2,7)=11,(2,6)=12,(6,7)=12,(0,2)=16,(1,6)=35,(1,2)=40,(1,7)=40,(0,3)=46,(2,4)=48,(4,5)=54,(2,3)=62,(3,6)=63,(3,7)=68,(0,1)=71,(1,5)=73,(5,7)=80,(1,3)=84,(4,6)=84,(3,4)=85,(1,4)=90,(0,4)=92,(0,7)=97,(0,5)=98]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=7 Succeeded, w=7\",\"Find(0)=0, Find(6)=5, Add (0,6)=9 Succeeded, w=16\",\"Find(2)=2, Find(7)=7, Add (2,7)=11 Succeeded, w=27\",\"Find(2)=2, Find(6)=5, Add (2,6)=12 Succeeded, w=39\",\"Find(6)=2, Find(7)=2, Add (6,7)=12 Failed, w=39\",\"Find(0)=2, Find(2)=2, Add (0,2)=16 Failed, w=39\",\"Find(1)=1, Find(6)=2, Add (1,6)=35 Succeeded, w=74\",\"Find(1)=2, Find(2)=2, Add (1,2)=40 Failed, w=74\",\"Find(1)=2, Find(7)=2, Add (1,7)=40 Failed, w=74\",\"Find(0)=2, Find(3)=3, Add (0,3)=46 Succeeded, w=120\",\"Find(2)=2, Find(4)=4, Add (2,4)=48 Succeeded, w=168\",\"Find(4)=2, Find(5)=2, Add (4,5)=54 Failed, w=168\",\"Find(2)=2, Find(3)=2, Add (2,3)=62 Failed, w=168\",\"Find(3)=2, Find(6)=2, Add (3,6)=63 Failed, w=168\",\"Find(3)=2, Find(7)=2, Add (3,7)=68 Failed, w=168\",\"Find(0)=2, Find(1)=2, Add (0,1)=71 Failed, w=168\",\"Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=168\",\"Find(5)=2, Find(7)=2, Add (5,7)=80 Failed, w=168\",\"Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=168\",\"Find(4)=2, Find(6)=2, Add (4,6)=84 Failed, w=168\",\"Find(3)=2, Find(4)=2, Add (3,4)=85 Failed, w=168\",\"Find(1)=2, Find(4)=2, Add (1,4)=90 Failed, w=168\",\"Find(0)=2, Find(4)=2, Add (0,4)=92 Failed, w=168\",\"Find(0)=2, Find(7)=2, Add (0,7)=97 Failed, w=168\",\"Find(0)=2, Find(5)=2, Add (0,5)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,71],[0,2,16],[0,3,46],[0,4,92],[0,5,98],[0,6,9],[0,7,97],[1,2,40],[1,3,84],[1,4,90],[1,5,73],[1,6,35],[1,7,40],[2,3,62],[2,4,48],[2,6,12],[2,7,11],[3,4,85],[3,6,63],[3,7,68],[4,5,54],[4,6,84],[5,6,7],[5,7,80],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=7,(0,6)=9,(2,7)=11,(2,6)=12,(6,7)=12,(0,2)=16,(1,6)=35,(1,2)=40,(1,7)=40,(0,3)=46,(2,4)=48,(4,5)=54,(2,3)=62,(3,6)=63,(3,7)=68,(0,1)=71,(1,5)=73,(5,7)=80,(1,3)=84,(4,6)=84,(3,4)=85,(1,4)=90,(0,4)=92,(0,7)=97,(0,5)=98]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 7}, Find(0)=0, Find(6)=5, Add (0,6)=9 Succeeded, w=16\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=11 Succeeded, w=27\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 5, 7: 2}, Find(2)=2, Find(6)=5, Add (2,6)=12 Succeeded, w=39\",\"Parent: {0: 5, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=12 Failed, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=16 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(6)=2, Add (1,6)=35 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=40 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=40 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(3)=3, Add (0,3)=46 Succeeded, w=120\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=48 Succeeded, w=168\",\"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)=54 Failed, w=168\",\"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)=62 Failed, w=168\",\"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=168\",\"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)=68 Failed, w=168\",\"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)=71 Failed, w=168\",\"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)=73 Failed, w=168\",\"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)=80 Failed, w=168\",\"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)=84 Failed, w=168\",\"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)=84 Failed, w=168\",\"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)=85 Failed, w=168\",\"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)=90 Failed, w=168\",\"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)=92 Failed, w=168\",\"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)=97 Failed, w=168\",\"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)=98 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,8],[0,3,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (0,3)=57, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,3)=57 Succeeded, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,3)=57]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,8],[0,3,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,3)=57]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=57 Succeeded, w=65\"],\"Answer\":65}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,83],[0,2,86],[0,3,27],[0,4,11],[0,5,93],[1,2,88],[1,3,90],[1,4,61],[1,5,67],[2,3,98],[2,4,5],[2,5,41],[3,4,89],[3,5,87],[4,5,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,86],[0,3,27],[0,4,11],[0,5,93],[1,2,88],[1,3,90],[1,4,61],[1,5,67],[2,3,98],[2,4,5],[2,5,41],[3,4,89],[3,5,87],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,86],[0,3,27],[0,4,11],[0,5,93],[1,2,88],[1,3,90],[1,4,61],[1,5,67],[2,3,98],[2,4,5],[2,5,41],[3,4,89],[3,5,87],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,86],[0,3,27],[0,4,11],[0,5,93],[1,2,88],[1,3,90],[1,4,61],[1,5,67],[2,3,98],[2,4,5],[2,5,41],[3,4,89],[3,5,87],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5, w=5\",\"Add (0,4)=11, w=16\",\"Add (0,3)=27, w=43\",\"Add (2,5)=41, w=84\",\"Add (1,4)=61, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,86],[0,3,27],[0,4,11],[0,5,93],[1,2,88],[1,3,90],[1,4,61],[1,5,67],[2,3,98],[2,4,5],[2,5,41],[3,4,89],[3,5,87],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=5 Succeeded, w=5\",\"Add (0,4)=11 Succeeded, w=16\",\"Add (0,3)=27 Succeeded, w=43\",\"Add (2,5)=41 Succeeded, w=84\",\"Add (1,4)=61 Succeeded, w=145\",\"Add (1,5)=67 Failed, w=145\",\"Add (0,1)=83 Failed, w=145\",\"Add (0,2)=86 Failed, w=145\",\"Add (3,5)=87 Failed, w=145\",\"Add (1,2)=88 Failed, w=145\",\"Add (3,4)=89 Failed, w=145\",\"Add (1,3)=90 Failed, w=145\",\"Add (0,5)=93 Failed, w=145\",\"Add (4,5)=96 Failed, w=145\",\"Add (2,3)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,86],[0,3,27],[0,4,11],[0,5,93],[1,2,88],[1,3,90],[1,4,61],[1,5,67],[2,3,98],[2,4,5],[2,5,41],[3,4,89],[3,5,87],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(0,4)=11,(0,3)=27,(2,5)=41,(1,4)=61,(1,5)=67,(0,1)=83,(0,2)=86,(3,5)=87,(1,2)=88,(3,4)=89,(1,3)=90,(0,5)=93,(4,5)=96,(2,3)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=2, Add (0,4)=11 Succeeded, w=16\",\"Find(0)=2, Find(3)=3, Add (0,3)=27 Succeeded, w=43\",\"Find(2)=2, Find(5)=5, Add (2,5)=41 Succeeded, w=84\",\"Find(1)=1, Find(4)=2, Add (1,4)=61 Succeeded, w=145\",\"Find(1)=2, Find(5)=2, Add (1,5)=67 Failed, w=145\",\"Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=145\",\"Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=145\",\"Find(3)=2, Find(5)=2, Add (3,5)=87 Failed, w=145\",\"Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=145\",\"Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=145\",\"Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=145\",\"Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=145\",\"Find(4)=2, Find(5)=2, Add (4,5)=96 Failed, w=145\",\"Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,83],[0,2,86],[0,3,27],[0,4,11],[0,5,93],[1,2,88],[1,3,90],[1,4,61],[1,5,67],[2,3,98],[2,4,5],[2,5,41],[3,4,89],[3,5,87],[4,5,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=5,(0,4)=11,(0,3)=27,(2,5)=41,(1,4)=61,(1,5)=67,(0,1)=83,(0,2)=86,(3,5)=87,(1,2)=88,(3,4)=89,(1,3)=90,(0,5)=93,(4,5)=96,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=5\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(4)=2, Add (0,4)=11 Succeeded, w=16\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=2, Find(3)=3, Add (0,3)=27 Succeeded, w=43\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=41 Succeeded, w=84\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=61 Succeeded, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=67 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=83 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=86 Failed, w=145\",\"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=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=88 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=90 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=93 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=96 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=98 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,86],[0,3,98],[0,4,83],[0,5,86],[1,4,72],[1,5,74],[2,3,46],[2,4,97],[2,5,41],[3,4,37],[3,5,16],[4,5,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,86],[0,3,98],[0,4,83],[0,5,86],[1,4,72],[1,5,74],[2,3,46],[2,4,97],[2,5,41],[3,4,37],[3,5,16],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,86],[0,3,98],[0,4,83],[0,5,86],[1,4,72],[1,5,74],[2,3,46],[2,4,97],[2,5,41],[3,4,37],[3,5,16],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (0,4)\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,86],[0,3,98],[0,4,83],[0,5,86],[1,4,72],[1,5,74],[2,3,46],[2,4,97],[2,5,41],[3,4,37],[3,5,16],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=14, w=14\",\"Add (3,5)=16, w=30\",\"Add (2,5)=41, w=71\",\"Add (1,4)=72, w=143\",\"Add (0,4)=83, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,86],[0,3,98],[0,4,83],[0,5,86],[1,4,72],[1,5,74],[2,3,46],[2,4,97],[2,5,41],[3,4,37],[3,5,16],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=14 Succeeded, w=14\",\"Add (3,5)=16 Succeeded, w=30\",\"Add (3,4)=37 Failed, w=30\",\"Add (2,5)=41 Succeeded, w=71\",\"Add (2,3)=46 Failed, w=71\",\"Add (1,4)=72 Succeeded, w=143\",\"Add (1,5)=74 Failed, w=143\",\"Add (0,4)=83 Succeeded, w=226\",\"Add (0,2)=86 Failed, w=226\",\"Add (0,5)=86 Failed, w=226\",\"Add (2,4)=97 Failed, w=226\",\"Add (0,3)=98 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,86],[0,3,98],[0,4,83],[0,5,86],[1,4,72],[1,5,74],[2,3,46],[2,4,97],[2,5,41],[3,4,37],[3,5,16],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=14,(3,5)=16,(3,4)=37,(2,5)=41,(2,3)=46,(1,4)=72,(1,5)=74,(0,4)=83,(0,2)=86,(0,5)=86,(2,4)=97,(0,3)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=14 Succeeded, w=14\",\"Find(3)=3, Find(5)=4, Add (3,5)=16 Succeeded, w=30\",\"Find(3)=4, Find(4)=4, Add (3,4)=37 Failed, w=30\",\"Find(2)=2, Find(5)=4, Add (2,5)=41 Succeeded, w=71\",\"Find(2)=4, Find(3)=4, Add (2,3)=46 Failed, w=71\",\"Find(1)=1, Find(4)=4, Add (1,4)=72 Succeeded, w=143\",\"Find(1)=4, Find(5)=4, Add (1,5)=74 Failed, w=143\",\"Find(0)=0, Find(4)=4, Add (0,4)=83 Succeeded, w=226\",\"Find(0)=4, Find(2)=4, Add (0,2)=86 Failed, w=226\",\"Find(0)=4, Find(5)=4, Add (0,5)=86 Failed, w=226\",\"Find(2)=4, Find(4)=4, Add (2,4)=97 Failed, w=226\",\"Find(0)=4, Find(3)=4, Add (0,3)=98 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,86],[0,3,98],[0,4,83],[0,5,86],[1,4,72],[1,5,74],[2,3,46],[2,4,97],[2,5,41],[3,4,37],[3,5,16],[4,5,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=14,(3,5)=16,(3,4)=37,(2,5)=41,(2,3)=46,(1,4)=72,(1,5)=74,(0,4)=83,(0,2)=86,(0,5)=86,(2,4)=97,(0,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=16 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=37 Failed, w=30\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(5)=4, Add (2,5)=41 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(3)=4, Add (2,3)=46 Failed, w=71\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=72 Succeeded, w=143\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=74 Failed, w=143\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=83 Succeeded, w=226\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(2)=4, Add (0,2)=86 Failed, w=226\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(5)=4, Add (0,5)=86 Failed, w=226\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(4)=4, Add (2,4)=97 Failed, w=226\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=4, Add (0,3)=98 Failed, w=226\"],\"Answer\":226}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,13],[0,3,62],[1,2,3],[1,3,81],[2,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,62],[1,2,3],[1,3,81],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,62],[1,2,3],[1,3,81],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,62],[1,2,3],[1,3,81],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,1)=13, w=16\",\"Add (2,3)=52, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,62],[1,2,3],[1,3,81],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,1)=13 Succeeded, w=16\",\"Add (2,3)=52 Succeeded, w=68\",\"Add (0,3)=62 Failed, w=68\",\"Add (1,3)=81 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,62],[1,2,3],[1,3,81],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,1)=13,(2,3)=52,(0,3)=62,(1,3)=81]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=16\",\"Find(2)=1, Find(3)=3, Add (2,3)=52 Succeeded, w=68\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=68\",\"Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,13],[0,3,62],[1,2,3],[1,3,81],[2,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,1)=13,(2,3)=52,(0,3)=62,(1,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=52 Succeeded, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=68\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=81 Failed, w=68\"],\"Answer\":68}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,55],[0,2,91],[0,3,10],[0,4,23],[1,2,92],[1,3,50],[1,4,61],[1,5,48],[2,4,89],[3,4,91],[3,5,88],[4,5,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,3,10],[0,4,23],[1,2,92],[1,3,50],[1,4,61],[1,5,48],[2,4,89],[3,4,91],[3,5,88],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,3,10],[0,4,23],[1,2,92],[1,3,50],[1,4,61],[1,5,48],[2,4,89],[3,4,91],[3,5,88],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,3,10],[0,4,23],[1,2,92],[1,3,50],[1,4,61],[1,5,48],[2,4,89],[3,4,91],[3,5,88],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10, w=10\",\"Add (0,4)=23, w=33\",\"Add (1,5)=48, w=81\",\"Add (1,3)=50, w=131\",\"Add (2,4)=89, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,3,10],[0,4,23],[1,2,92],[1,3,50],[1,4,61],[1,5,48],[2,4,89],[3,4,91],[3,5,88],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=10 Succeeded, w=10\",\"Add (0,4)=23 Succeeded, w=33\",\"Add (1,5)=48 Succeeded, w=81\",\"Add (1,3)=50 Succeeded, w=131\",\"Add (0,1)=55 Failed, w=131\",\"Add (1,4)=61 Failed, w=131\",\"Add (3,5)=88 Failed, w=131\",\"Add (2,4)=89 Succeeded, w=220\",\"Add (0,2)=91 Failed, w=220\",\"Add (3,4)=91 Failed, w=220\",\"Add (1,2)=92 Failed, w=220\",\"Add (4,5)=98 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,3,10],[0,4,23],[1,2,92],[1,3,50],[1,4,61],[1,5,48],[2,4,89],[3,4,91],[3,5,88],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,4)=23,(1,5)=48,(1,3)=50,(0,1)=55,(1,4)=61,(3,5)=88,(2,4)=89,(0,2)=91,(3,4)=91,(1,2)=92,(4,5)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=33\",\"Find(1)=1, Find(5)=5, Add (1,5)=48 Succeeded, w=81\",\"Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=131\",\"Find(0)=1, Find(1)=1, Add (0,1)=55 Failed, w=131\",\"Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=131\",\"Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=131\",\"Find(2)=2, Find(4)=1, Add (2,4)=89 Succeeded, w=220\",\"Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=220\",\"Find(3)=1, Find(4)=1, Add (3,4)=91 Failed, w=220\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=220\",\"Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,55],[0,2,91],[0,3,10],[0,4,23],[1,2,92],[1,3,50],[1,4,61],[1,5,48],[2,4,89],[3,4,91],[3,5,88],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=10,(0,4)=23,(1,5)=48,(1,3)=50,(0,1)=55,(1,4)=61,(3,5)=88,(2,4)=89,(0,2)=91,(3,4)=91,(1,2)=92,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=48 Succeeded, w=81\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1}, Find(1)=1, Find(3)=0, Add (1,3)=50 Succeeded, w=131\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 0, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=55 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=88 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=2, Find(4)=1, Add (2,4)=89 Succeeded, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=91 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=91 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=220\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,59],[0,2,84],[0,3,8],[0,4,51],[0,5,2],[1,2,80],[1,3,32],[1,4,67],[1,5,29],[2,3,0],[2,4,92],[2,5,95],[3,4,91],[3,5,88],[4,5,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,84],[0,3,8],[0,4,51],[0,5,2],[1,2,80],[1,3,32],[1,4,67],[1,5,29],[2,3,0],[2,4,92],[2,5,95],[3,4,91],[3,5,88],[4,5,59]]}",
"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\":[[0,1,59],[0,2,84],[0,3,8],[0,4,51],[0,5,2],[1,2,80],[1,3,32],[1,4,67],[1,5,29],[2,3,0],[2,4,92],[2,5,95],[3,4,91],[3,5,88],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,59],[0,2,84],[0,3,8],[0,4,51],[0,5,2],[1,2,80],[1,3,32],[1,4,67],[1,5,29],[2,3,0],[2,4,92],[2,5,95],[3,4,91],[3,5,88],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (0,5)=2, w=2\",\"Add (0,3)=8, w=10\",\"Add (1,5)=29, w=39\",\"Add (0,4)=51, 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\":[[0,1,59],[0,2,84],[0,3,8],[0,4,51],[0,5,2],[1,2,80],[1,3,32],[1,4,67],[1,5,29],[2,3,0],[2,4,92],[2,5,95],[3,4,91],[3,5,88],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (0,5)=2 Succeeded, w=2\",\"Add (0,3)=8 Succeeded, w=10\",\"Add (1,5)=29 Succeeded, w=39\",\"Add (1,3)=32 Failed, w=39\",\"Add (0,4)=51 Succeeded, w=90\",\"Add (0,1)=59 Failed, w=90\",\"Add (4,5)=59 Failed, w=90\",\"Add (1,4)=67 Failed, w=90\",\"Add (1,2)=80 Failed, w=90\",\"Add (0,2)=84 Failed, w=90\",\"Add (3,5)=88 Failed, w=90\",\"Add (3,4)=91 Failed, w=90\",\"Add (2,4)=92 Failed, w=90\",\"Add (2,5)=95 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\":[[0,1,59],[0,2,84],[0,3,8],[0,4,51],[0,5,2],[1,2,80],[1,3,32],[1,4,67],[1,5,29],[2,3,0],[2,4,92],[2,5,95],[3,4,91],[3,5,88],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,5)=2,(0,3)=8,(1,5)=29,(1,3)=32,(0,4)=51,(0,1)=59,(4,5)=59,(1,4)=67,(1,2)=80,(0,2)=84,(3,5)=88,(3,4)=91,(2,4)=92,(2,5)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=2, Add (0,3)=8 Succeeded, w=10\",\"Find(1)=1, Find(5)=0, Add (1,5)=29 Succeeded, w=39\",\"Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=39\",\"Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=90\",\"Find(0)=0, Find(1)=0, Add (0,1)=59 Failed, w=90\",\"Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=90\",\"Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=90\",\"Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=90\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=90\",\"Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=90\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=90\",\"Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=90\",\"Find(2)=0, Find(5)=0, Add (2,5)=95 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\":[[0,1,59],[0,2,84],[0,3,8],[0,4,51],[0,5,2],[1,2,80],[1,3,32],[1,4,67],[1,5,29],[2,3,0],[2,4,92],[2,5,95],[3,4,91],[3,5,88],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(0,5)=2,(0,3)=8,(1,5)=29,(1,3)=32,(0,4)=51,(0,1)=59,(4,5)=59,(1,4)=67,(1,2)=80,(0,2)=84,(3,5)=88,(3,4)=91,(2,4)=92,(2,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 4, 5: 0}, Find(0)=0, Find(3)=2, Add (0,3)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=29 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=51 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=59 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=67 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=80 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=88 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=92 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,81],[0,2,80],[0,3,47],[0,4,48],[1,4,40],[1,5,95],[2,3,54],[2,4,80],[2,5,24],[3,4,21],[3,5,78],[4,5,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,80],[0,3,47],[0,4,48],[1,4,40],[1,5,95],[2,3,54],[2,4,80],[2,5,24],[3,4,21],[3,5,78],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,80],[0,3,47],[0,4,48],[1,4,40],[1,5,95],[2,3,54],[2,4,80],[2,5,24],[3,4,21],[3,5,78],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,80],[0,3,47],[0,4,48],[1,4,40],[1,5,95],[2,3,54],[2,4,80],[2,5,24],[3,4,21],[3,5,78],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21, w=21\",\"Add (2,5)=24, w=45\",\"Add (4,5)=25, w=70\",\"Add (1,4)=40, w=110\",\"Add (0,3)=47, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,80],[0,3,47],[0,4,48],[1,4,40],[1,5,95],[2,3,54],[2,4,80],[2,5,24],[3,4,21],[3,5,78],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21 Succeeded, w=21\",\"Add (2,5)=24 Succeeded, w=45\",\"Add (4,5)=25 Succeeded, w=70\",\"Add (1,4)=40 Succeeded, w=110\",\"Add (0,3)=47 Succeeded, w=157\",\"Add (0,4)=48 Failed, w=157\",\"Add (2,3)=54 Failed, w=157\",\"Add (3,5)=78 Failed, w=157\",\"Add (0,2)=80 Failed, w=157\",\"Add (2,4)=80 Failed, w=157\",\"Add (0,1)=81 Failed, w=157\",\"Add (1,5)=95 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,80],[0,3,47],[0,4,48],[1,4,40],[1,5,95],[2,3,54],[2,4,80],[2,5,24],[3,4,21],[3,5,78],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(2,5)=24,(4,5)=25,(1,4)=40,(0,3)=47,(0,4)=48,(2,3)=54,(3,5)=78,(0,2)=80,(2,4)=80,(0,1)=81,(1,5)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=21\",\"Find(2)=2, Find(5)=5, Add (2,5)=24 Succeeded, w=45\",\"Find(4)=3, Find(5)=2, Add (4,5)=25 Succeeded, w=70\",\"Find(1)=1, Find(4)=3, Add (1,4)=40 Succeeded, w=110\",\"Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=157\",\"Find(0)=3, Find(4)=3, Add (0,4)=48 Failed, w=157\",\"Find(2)=3, Find(3)=3, Add (2,3)=54 Failed, w=157\",\"Find(3)=3, Find(5)=3, Add (3,5)=78 Failed, w=157\",\"Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=157\",\"Find(2)=3, Find(4)=3, Add (2,4)=80 Failed, w=157\",\"Find(0)=3, Find(1)=3, Add (0,1)=81 Failed, w=157\",\"Find(1)=3, Find(5)=3, Add (1,5)=95 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,80],[0,3,47],[0,4,48],[1,4,40],[1,5,95],[2,3,54],[2,4,80],[2,5,24],[3,4,21],[3,5,78],[4,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(2,5)=24,(4,5)=25,(1,4)=40,(0,3)=47,(0,4)=48,(2,3)=54,(3,5)=78,(0,2)=80,(2,4)=80,(0,1)=81,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=24 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 2}, Find(4)=3, Find(5)=2, Add (4,5)=25 Succeeded, w=70\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(1)=1, Find(4)=3, Add (1,4)=40 Succeeded, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=47 Succeeded, w=157\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(4)=3, Add (0,4)=48 Failed, w=157\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2}, Find(2)=3, Find(3)=3, Add (2,3)=54 Failed, w=157\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(5)=3, Add (3,5)=78 Failed, w=157\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(2)=3, Add (0,2)=80 Failed, w=157\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=3, Find(4)=3, Add (2,4)=80 Failed, w=157\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=3, Find(1)=3, Add (0,1)=81 Failed, w=157\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=3, Find(5)=3, Add (1,5)=95 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,0],[0,2,67],[0,3,21],[1,2,45],[1,3,14],[2,3,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,67],[0,3,21],[1,2,45],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,67],[0,3,21],[1,2,45],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,67],[0,3,21],[1,2,45],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0, w=0\",\"Add (1,3)=14, w=14\",\"Add (1,2)=45, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,67],[0,3,21],[1,2,45],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=0 Succeeded, w=0\",\"Add (1,3)=14 Succeeded, w=14\",\"Add (0,3)=21 Failed, w=14\",\"Add (1,2)=45 Succeeded, w=59\",\"Add (0,2)=67 Failed, w=59\",\"Add (2,3)=80 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,67],[0,3,21],[1,2,45],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=14,(0,3)=21,(1,2)=45,(0,2)=67,(2,3)=80]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Find(1)=0, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=14\",\"Find(1)=0, Find(2)=2, Add (1,2)=45 Succeeded, w=59\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=59\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,0],[0,2,67],[0,3,21],[1,2,45],[1,3,14],[2,3,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=0,(1,3)=14,(0,3)=21,(1,2)=45,(0,2)=67,(2,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=45 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
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