graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
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|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,2],[0,2,93],[0,3,75],[0,4,73],[1,2,42],[1,3,93],[1,5,1],[2,4,28],[2,5,42],[3,4,34],[3,5,47],[4,5,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,93],[0,3,75],[0,4,73],[1,2,42],[1,3,93],[1,5,1],[2,4,28],[2,5,42],[3,4,34],[3,5,47],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,93],[0,3,75],[0,4,73],[1,2,42],[1,3,93],[1,5,1],[2,4,28],[2,5,42],[3,4,34],[3,5,47],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,93],[0,3,75],[0,4,73],[1,2,42],[1,3,93],[1,5,1],[2,4,28],[2,5,42],[3,4,34],[3,5,47],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1, w=1\",\"Add (0,1)=2, w=3\",\"Add (4,5)=2, w=5\",\"Add (2,4)=28, w=33\",\"Add (3,4)=34, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,93],[0,3,75],[0,4,73],[1,2,42],[1,3,93],[1,5,1],[2,4,28],[2,5,42],[3,4,34],[3,5,47],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=1 Succeeded, w=1\",\"Add (0,1)=2 Succeeded, w=3\",\"Add (4,5)=2 Succeeded, w=5\",\"Add (2,4)=28 Succeeded, w=33\",\"Add (3,4)=34 Succeeded, w=67\",\"Add (1,2)=42 Failed, w=67\",\"Add (2,5)=42 Failed, w=67\",\"Add (3,5)=47 Failed, w=67\",\"Add (0,4)=73 Failed, w=67\",\"Add (0,3)=75 Failed, w=67\",\"Add (0,2)=93 Failed, w=67\",\"Add (1,3)=93 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,93],[0,3,75],[0,4,73],[1,2,42],[1,3,93],[1,5,1],[2,4,28],[2,5,42],[3,4,34],[3,5,47],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,1)=2,(4,5)=2,(2,4)=28,(3,4)=34,(1,2)=42,(2,5)=42,(3,5)=47,(0,4)=73,(0,3)=75,(0,2)=93,(1,3)=93]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=3\",\"Find(4)=4, Find(5)=1, Add (4,5)=2 Succeeded, w=5\",\"Find(2)=2, Find(4)=1, Add (2,4)=28 Succeeded, w=33\",\"Find(3)=3, Find(4)=1, Add (3,4)=34 Succeeded, w=67\",\"Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=67\",\"Find(2)=1, Find(5)=1, Add (2,5)=42 Failed, w=67\",\"Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=67\",\"Find(0)=1, Find(4)=1, Add (0,4)=73 Failed, w=67\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=67\",\"Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=67\",\"Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,2],[0,2,93],[0,3,75],[0,4,73],[1,2,42],[1,3,93],[1,5,1],[2,4,28],[2,5,42],[3,4,34],[3,5,47],[4,5,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=1,(0,1)=2,(4,5)=2,(2,4)=28,(3,4)=34,(1,2)=42,(2,5)=42,(3,5)=47,(0,4)=73,(0,3)=75,(0,2)=93,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=2 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=2, Find(4)=1, Add (2,4)=28 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(4)=1, Add (3,4)=34 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=42 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=42 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=47 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=73 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=93 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=93 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,15],[0,2,40],[0,3,68],[0,4,24],[0,5,68],[0,6,62],[1,2,8],[1,3,3],[1,4,9],[1,5,91],[1,6,41],[2,3,51],[2,4,88],[2,5,28],[2,6,24],[3,4,80],[3,5,94],[3,6,57],[4,5,74],[4,6,48],[5,6,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,40],[0,3,68],[0,4,24],[0,5,68],[0,6,62],[1,2,8],[1,3,3],[1,4,9],[1,5,91],[1,6,41],[2,3,51],[2,4,88],[2,5,28],[2,6,24],[3,4,80],[3,5,94],[3,6,57],[4,5,74],[4,6,48],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,40],[0,3,68],[0,4,24],[0,5,68],[0,6,62],[1,2,8],[1,3,3],[1,4,9],[1,5,91],[1,6,41],[2,3,51],[2,4,88],[2,5,28],[2,6,24],[3,4,80],[3,5,94],[3,6,57],[4,5,74],[4,6,48],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (2,5)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,40],[0,3,68],[0,4,24],[0,5,68],[0,6,62],[1,2,8],[1,3,3],[1,4,9],[1,5,91],[1,6,41],[2,3,51],[2,4,88],[2,5,28],[2,6,24],[3,4,80],[3,5,94],[3,6,57],[4,5,74],[4,6,48],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (1,2)=8, w=11\",\"Add (1,4)=9, w=20\",\"Add (0,1)=15, w=35\",\"Add (2,6)=24, w=59\",\"Add (2,5)=28, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,40],[0,3,68],[0,4,24],[0,5,68],[0,6,62],[1,2,8],[1,3,3],[1,4,9],[1,5,91],[1,6,41],[2,3,51],[2,4,88],[2,5,28],[2,6,24],[3,4,80],[3,5,94],[3,6,57],[4,5,74],[4,6,48],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (1,2)=8 Succeeded, w=11\",\"Add (1,4)=9 Succeeded, w=20\",\"Add (0,1)=15 Succeeded, w=35\",\"Add (0,4)=24 Failed, w=35\",\"Add (2,6)=24 Succeeded, w=59\",\"Add (2,5)=28 Succeeded, w=87\",\"Add (0,2)=40 Failed, w=87\",\"Add (1,6)=41 Failed, w=87\",\"Add (4,6)=48 Failed, w=87\",\"Add (2,3)=51 Failed, w=87\",\"Add (3,6)=57 Failed, w=87\",\"Add (0,6)=62 Failed, w=87\",\"Add (0,3)=68 Failed, w=87\",\"Add (0,5)=68 Failed, w=87\",\"Add (4,5)=74 Failed, w=87\",\"Add (3,4)=80 Failed, w=87\",\"Add (5,6)=87 Failed, w=87\",\"Add (2,4)=88 Failed, w=87\",\"Add (1,5)=91 Failed, w=87\",\"Add (3,5)=94 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,40],[0,3,68],[0,4,24],[0,5,68],[0,6,62],[1,2,8],[1,3,3],[1,4,9],[1,5,91],[1,6,41],[2,3,51],[2,4,88],[2,5,28],[2,6,24],[3,4,80],[3,5,94],[3,6,57],[4,5,74],[4,6,48],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=8,(1,4)=9,(0,1)=15,(0,4)=24,(2,6)=24,(2,5)=28,(0,2)=40,(1,6)=41,(4,6)=48,(2,3)=51,(3,6)=57,(0,6)=62,(0,3)=68,(0,5)=68,(4,5)=74,(3,4)=80,(5,6)=87,(2,4)=88,(1,5)=91,(3,5)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=20\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=35\",\"Find(0)=1, Find(4)=1, Add (0,4)=24 Failed, w=35\",\"Find(2)=1, Find(6)=6, Add (2,6)=24 Succeeded, w=59\",\"Find(2)=1, Find(5)=5, Add (2,5)=28 Succeeded, w=87\",\"Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=87\",\"Find(1)=1, Find(6)=1, Add (1,6)=41 Failed, w=87\",\"Find(4)=1, Find(6)=1, Add (4,6)=48 Failed, w=87\",\"Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=87\",\"Find(3)=1, Find(6)=1, Add (3,6)=57 Failed, w=87\",\"Find(0)=1, Find(6)=1, Add (0,6)=62 Failed, w=87\",\"Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=87\",\"Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=87\",\"Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=87\",\"Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=87\",\"Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=87\",\"Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=87\",\"Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=87\",\"Find(3)=1, Find(5)=1, Add (3,5)=94 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,15],[0,2,40],[0,3,68],[0,4,24],[0,5,68],[0,6,62],[1,2,8],[1,3,3],[1,4,9],[1,5,91],[1,6,41],[2,3,51],[2,4,88],[2,5,28],[2,6,24],[3,4,80],[3,5,94],[3,6,57],[4,5,74],[4,6,48],[5,6,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=8,(1,4)=9,(0,1)=15,(0,4)=24,(2,6)=24,(2,5)=28,(0,2)=40,(1,6)=41,(4,6)=48,(2,3)=51,(3,6)=57,(0,6)=62,(0,3)=68,(0,5)=68,(4,5)=74,(3,4)=80,(5,6)=87,(2,4)=88,(1,5)=91,(3,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=1, Find(4)=1, Add (0,4)=24 Failed, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=24 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=5, Add (2,5)=28 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=40 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=41 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=48 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=51 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=57 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=62 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=68 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=68 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=74 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=87 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=88 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=94 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,19],[0,3,29],[0,4,67],[0,5,89],[1,3,17],[1,4,53],[1,5,43],[2,3,70],[3,4,31],[3,5,43],[4,5,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,29],[0,4,67],[0,5,89],[1,3,17],[1,4,53],[1,5,43],[2,3,70],[3,4,31],[3,5,43],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,29],[0,4,67],[0,5,89],[1,3,17],[1,4,53],[1,5,43],[2,3,70],[3,4,31],[3,5,43],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (1,5)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,29],[0,4,67],[0,5,89],[1,3,17],[1,4,53],[1,5,43],[2,3,70],[3,4,31],[3,5,43],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=17, w=17\",\"Add (0,2)=19, w=36\",\"Add (0,3)=29, w=65\",\"Add (3,4)=31, w=96\",\"Add (1,5)=43, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,29],[0,4,67],[0,5,89],[1,3,17],[1,4,53],[1,5,43],[2,3,70],[3,4,31],[3,5,43],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=17 Succeeded, w=17\",\"Add (0,2)=19 Succeeded, w=36\",\"Add (0,3)=29 Succeeded, w=65\",\"Add (3,4)=31 Succeeded, w=96\",\"Add (1,5)=43 Succeeded, w=139\",\"Add (3,5)=43 Failed, w=139\",\"Add (1,4)=53 Failed, w=139\",\"Add (0,4)=67 Failed, w=139\",\"Add (2,3)=70 Failed, w=139\",\"Add (0,5)=89 Failed, w=139\",\"Add (4,5)=98 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,29],[0,4,67],[0,5,89],[1,3,17],[1,4,53],[1,5,43],[2,3,70],[3,4,31],[3,5,43],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=17,(0,2)=19,(0,3)=29,(3,4)=31,(1,5)=43,(3,5)=43,(1,4)=53,(0,4)=67,(2,3)=70,(0,5)=89,(4,5)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=36\",\"Find(0)=0, Find(3)=1, Add (0,3)=29 Succeeded, w=65\",\"Find(3)=0, Find(4)=4, Add (3,4)=31 Succeeded, w=96\",\"Find(1)=0, Find(5)=5, Add (1,5)=43 Succeeded, w=139\",\"Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=139\",\"Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=139\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=139\",\"Find(0)=0, Find(5)=0, Add (0,5)=89 Failed, w=139\",\"Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,19],[0,3,29],[0,4,67],[0,5,89],[1,3,17],[1,4,53],[1,5,43],[2,3,70],[3,4,31],[3,5,43],[4,5,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=17,(0,2)=19,(0,3)=29,(3,4)=31,(1,5)=43,(3,5)=43,(1,4)=53,(0,4)=67,(2,3)=70,(0,5)=89,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 4, 5: 5}, Find(0)=0, Find(3)=1, Add (0,3)=29 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=31 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=43 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=53 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=67 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=89 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=98 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,45],[0,2,47],[0,3,25],[0,5,93],[1,2,39],[1,4,55],[1,5,78],[2,4,42],[2,5,68],[3,4,35],[3,5,55],[4,5,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,47],[0,3,25],[0,5,93],[1,2,39],[1,4,55],[1,5,78],[2,4,42],[2,5,68],[3,4,35],[3,5,55],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,47],[0,3,25],[0,5,93],[1,2,39],[1,4,55],[1,5,78],[2,4,42],[2,5,68],[3,4,35],[3,5,55],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (2,4)\",\"Add (3,5)\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,47],[0,3,25],[0,5,93],[1,2,39],[1,4,55],[1,5,78],[2,4,42],[2,5,68],[3,4,35],[3,5,55],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=25, w=25\",\"Add (3,4)=35, w=60\",\"Add (1,2)=39, w=99\",\"Add (2,4)=42, w=141\",\"Add (3,5)=55, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,47],[0,3,25],[0,5,93],[1,2,39],[1,4,55],[1,5,78],[2,4,42],[2,5,68],[3,4,35],[3,5,55],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=25 Succeeded, w=25\",\"Add (3,4)=35 Succeeded, w=60\",\"Add (1,2)=39 Succeeded, w=99\",\"Add (2,4)=42 Succeeded, w=141\",\"Add (0,1)=45 Failed, w=141\",\"Add (0,2)=47 Failed, w=141\",\"Add (1,4)=55 Failed, w=141\",\"Add (3,5)=55 Succeeded, w=196\",\"Add (4,5)=55 Failed, w=196\",\"Add (2,5)=68 Failed, w=196\",\"Add (1,5)=78 Failed, w=196\",\"Add (0,5)=93 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,47],[0,3,25],[0,5,93],[1,2,39],[1,4,55],[1,5,78],[2,4,42],[2,5,68],[3,4,35],[3,5,55],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=25,(3,4)=35,(1,2)=39,(2,4)=42,(0,1)=45,(0,2)=47,(1,4)=55,(3,5)=55,(4,5)=55,(2,5)=68,(1,5)=78,(0,5)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=25\",\"Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=60\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=99\",\"Find(2)=1, Find(4)=0, Add (2,4)=42 Succeeded, w=141\",\"Find(0)=1, Find(1)=1, Add (0,1)=45 Failed, w=141\",\"Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=141\",\"Find(1)=1, Find(4)=1, Add (1,4)=55 Failed, w=141\",\"Find(3)=1, Find(5)=5, Add (3,5)=55 Succeeded, w=196\",\"Find(4)=1, Find(5)=1, Add (4,5)=55 Failed, w=196\",\"Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=196\",\"Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=196\",\"Find(0)=1, Find(5)=1, Add (0,5)=93 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,45],[0,2,47],[0,3,25],[0,5,93],[1,2,39],[1,4,55],[1,5,78],[2,4,42],[2,5,68],[3,4,35],[3,5,55],[4,5,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=25,(3,4)=35,(1,2)=39,(2,4)=42,(0,1)=45,(0,2)=47,(1,4)=55,(3,5)=55,(4,5)=55,(2,5)=68,(1,5)=78,(0,5)=93]\",\"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: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5}, Find(2)=1, Find(4)=0, Add (2,4)=42 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5}, Find(0)=1, Find(1)=1, Add (0,1)=45 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5}, Find(0)=1, Find(2)=1, Add (0,2)=47 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 5}, Find(1)=1, Find(4)=1, Add (1,4)=55 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=55 Succeeded, w=196\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=55 Failed, w=196\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=68 Failed, w=196\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=78 Failed, w=196\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=93 Failed, w=196\"],\"Answer\":196}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,36],[0,3,75],[0,5,72],[1,3,88],[1,6,98],[2,3,52],[2,4,7],[2,5,34],[3,4,3],[3,6,78],[4,6,33],[5,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,75],[0,5,72],[1,3,88],[1,6,98],[2,3,52],[2,4,7],[2,5,34],[3,4,3],[3,6,78],[4,6,33],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,75],[0,5,72],[1,3,88],[1,6,98],[2,3,52],[2,4,7],[2,5,34],[3,4,3],[3,6,78],[4,6,33],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,4)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,75],[0,5,72],[1,3,88],[1,6,98],[2,3,52],[2,4,7],[2,5,34],[3,4,3],[3,6,78],[4,6,33],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3, w=3\",\"Add (2,4)=7, w=10\",\"Add (4,6)=33, w=43\",\"Add (2,5)=34, w=77\",\"Add (0,2)=36, w=113\",\"Add (1,3)=88, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,75],[0,5,72],[1,3,88],[1,6,98],[2,3,52],[2,4,7],[2,5,34],[3,4,3],[3,6,78],[4,6,33],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=3 Succeeded, w=3\",\"Add (2,4)=7 Succeeded, w=10\",\"Add (4,6)=33 Succeeded, w=43\",\"Add (2,5)=34 Succeeded, w=77\",\"Add (0,2)=36 Succeeded, w=113\",\"Add (2,3)=52 Failed, w=113\",\"Add (0,5)=72 Failed, w=113\",\"Add (0,3)=75 Failed, w=113\",\"Add (3,6)=78 Failed, w=113\",\"Add (5,6)=83 Failed, w=113\",\"Add (1,3)=88 Succeeded, w=201\",\"Add (1,6)=98 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,75],[0,5,72],[1,3,88],[1,6,98],[2,3,52],[2,4,7],[2,5,34],[3,4,3],[3,6,78],[4,6,33],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,4)=7,(4,6)=33,(2,5)=34,(0,2)=36,(2,3)=52,(0,5)=72,(0,3)=75,(3,6)=78,(5,6)=83,(1,3)=88,(1,6)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=3\",\"Find(2)=2, Find(4)=3, Add (2,4)=7 Succeeded, w=10\",\"Find(4)=3, Find(6)=6, Add (4,6)=33 Succeeded, w=43\",\"Find(2)=3, Find(5)=5, Add (2,5)=34 Succeeded, w=77\",\"Find(0)=0, Find(2)=3, Add (0,2)=36 Succeeded, w=113\",\"Find(2)=3, Find(3)=3, Add (2,3)=52 Failed, w=113\",\"Find(0)=3, Find(5)=3, Add (0,5)=72 Failed, w=113\",\"Find(0)=3, Find(3)=3, Add (0,3)=75 Failed, w=113\",\"Find(3)=3, Find(6)=3, Add (3,6)=78 Failed, w=113\",\"Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=113\",\"Find(1)=1, Find(3)=3, Add (1,3)=88 Succeeded, w=201\",\"Find(1)=3, Find(6)=3, Add (1,6)=98 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,36],[0,3,75],[0,5,72],[1,3,88],[1,6,98],[2,3,52],[2,4,7],[2,5,34],[3,4,3],[3,6,78],[4,6,33],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=3,(2,4)=7,(4,6)=33,(2,5)=34,(0,2)=36,(2,3)=52,(0,5)=72,(0,3)=75,(3,6)=78,(5,6)=83,(1,3)=88,(1,6)=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: 3, 3: 3, 4: 3, 5: 5, 6: 6}, Find(2)=2, Find(4)=3, Add (2,4)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=3, Find(6)=6, Add (4,6)=33 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(5)=5, Add (2,5)=34 Succeeded, w=77\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=0, Find(2)=3, Add (0,2)=36 Succeeded, w=113\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=52 Failed, w=113\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(5)=3, Add (0,5)=72 Failed, w=113\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=75 Failed, w=113\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=3, Add (3,6)=78 Failed, w=113\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=113\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=88 Succeeded, w=201\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=98 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,36],[0,2,81],[0,3,45],[1,2,25],[1,3,15],[2,3,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,81],[0,3,45],[1,2,25],[1,3,15],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,81],[0,3,45],[1,2,25],[1,3,15],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,81],[0,3,45],[1,2,25],[1,3,15],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15, w=15\",\"Add (1,2)=25, w=40\",\"Add (0,1)=36, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,81],[0,3,45],[1,2,25],[1,3,15],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=15 Succeeded, w=15\",\"Add (1,2)=25 Succeeded, w=40\",\"Add (0,1)=36 Succeeded, w=76\",\"Add (0,3)=45 Failed, w=76\",\"Add (2,3)=45 Failed, w=76\",\"Add (0,2)=81 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,81],[0,3,45],[1,2,25],[1,3,15],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(1,2)=25,(0,1)=36,(0,3)=45,(2,3)=45,(0,2)=81]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=36 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)=45 Failed, w=76\",\"Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,36],[0,2,81],[0,3,45],[1,2,25],[1,3,15],[2,3,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=15,(1,2)=25,(0,1)=36,(0,3)=45,(2,3)=45,(0,2)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=25 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=36 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=45 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=45 Failed, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=81 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,2,50],[0,3,37],[0,4,69],[0,5,52],[0,7,15],[1,2,13],[1,3,87],[1,4,42],[1,5,52],[1,6,60],[1,7,16],[2,3,68],[2,4,51],[2,5,9],[2,6,36],[2,7,56],[3,5,63],[3,6,93],[3,7,74],[4,5,98],[4,6,86],[4,7,89],[5,6,98],[5,7,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,50],[0,3,37],[0,4,69],[0,5,52],[0,7,15],[1,2,13],[1,3,87],[1,4,42],[1,5,52],[1,6,60],[1,7,16],[2,3,68],[2,4,51],[2,5,9],[2,6,36],[2,7,56],[3,5,63],[3,6,93],[3,7,74],[4,5,98],[4,6,86],[4,7,89],[5,6,98],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,50],[0,3,37],[0,4,69],[0,5,52],[0,7,15],[1,2,13],[1,3,87],[1,4,42],[1,5,52],[1,6,60],[1,7,16],[2,3,68],[2,4,51],[2,5,9],[2,6,36],[2,7,56],[3,5,63],[3,6,93],[3,7,74],[4,5,98],[4,6,86],[4,7,89],[5,6,98],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (0,7)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,50],[0,3,37],[0,4,69],[0,5,52],[0,7,15],[1,2,13],[1,3,87],[1,4,42],[1,5,52],[1,6,60],[1,7,16],[2,3,68],[2,4,51],[2,5,9],[2,6,36],[2,7,56],[3,5,63],[3,6,93],[3,7,74],[4,5,98],[4,6,86],[4,7,89],[5,6,98],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=0, w=0\",\"Add (2,5)=9, w=9\",\"Add (1,2)=13, w=22\",\"Add (0,7)=15, w=37\",\"Add (2,6)=36, w=73\",\"Add (0,3)=37, w=110\",\"Add (1,4)=42, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,50],[0,3,37],[0,4,69],[0,5,52],[0,7,15],[1,2,13],[1,3,87],[1,4,42],[1,5,52],[1,6,60],[1,7,16],[2,3,68],[2,4,51],[2,5,9],[2,6,36],[2,7,56],[3,5,63],[3,6,93],[3,7,74],[4,5,98],[4,6,86],[4,7,89],[5,6,98],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,7)=0 Succeeded, w=0\",\"Add (2,5)=9 Succeeded, w=9\",\"Add (1,2)=13 Succeeded, w=22\",\"Add (0,7)=15 Succeeded, w=37\",\"Add (1,7)=16 Failed, w=37\",\"Add (2,6)=36 Succeeded, w=73\",\"Add (0,3)=37 Succeeded, w=110\",\"Add (1,4)=42 Succeeded, w=152\",\"Add (0,2)=50 Failed, w=152\",\"Add (2,4)=51 Failed, w=152\",\"Add (0,5)=52 Failed, w=152\",\"Add (1,5)=52 Failed, w=152\",\"Add (0,1)=56 Failed, w=152\",\"Add (2,7)=56 Failed, w=152\",\"Add (1,6)=60 Failed, w=152\",\"Add (3,5)=63 Failed, w=152\",\"Add (2,3)=68 Failed, w=152\",\"Add (0,4)=69 Failed, w=152\",\"Add (3,7)=74 Failed, w=152\",\"Add (4,6)=86 Failed, w=152\",\"Add (1,3)=87 Failed, w=152\",\"Add (4,7)=89 Failed, w=152\",\"Add (3,6)=93 Failed, w=152\",\"Add (4,5)=98 Failed, w=152\",\"Add (5,6)=98 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,50],[0,3,37],[0,4,69],[0,5,52],[0,7,15],[1,2,13],[1,3,87],[1,4,42],[1,5,52],[1,6,60],[1,7,16],[2,3,68],[2,4,51],[2,5,9],[2,6,36],[2,7,56],[3,5,63],[3,6,93],[3,7,74],[4,5,98],[4,6,86],[4,7,89],[5,6,98],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=0,(2,5)=9,(1,2)=13,(0,7)=15,(1,7)=16,(2,6)=36,(0,3)=37,(1,4)=42,(0,2)=50,(2,4)=51,(0,5)=52,(1,5)=52,(0,1)=56,(2,7)=56,(1,6)=60,(3,5)=63,(2,3)=68,(0,4)=69,(3,7)=74,(4,6)=86,(1,3)=87,(4,7)=89,(3,6)=93,(4,5)=98,(5,6)=98]\",\"Process\":[\"Find(5)=5, Find(7)=7, Add (5,7)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Find(1)=1, Find(2)=5, Add (1,2)=13 Succeeded, w=22\",\"Find(0)=0, Find(7)=5, Add (0,7)=15 Succeeded, w=37\",\"Find(1)=5, Find(7)=5, Add (1,7)=16 Failed, w=37\",\"Find(2)=5, Find(6)=6, Add (2,6)=36 Succeeded, w=73\",\"Find(0)=5, Find(3)=3, Add (0,3)=37 Succeeded, w=110\",\"Find(1)=5, Find(4)=4, Add (1,4)=42 Succeeded, w=152\",\"Find(0)=5, Find(2)=5, Add (0,2)=50 Failed, w=152\",\"Find(2)=5, Find(4)=5, Add (2,4)=51 Failed, w=152\",\"Find(0)=5, Find(5)=5, Add (0,5)=52 Failed, w=152\",\"Find(1)=5, Find(5)=5, Add (1,5)=52 Failed, w=152\",\"Find(0)=5, Find(1)=5, Add (0,1)=56 Failed, w=152\",\"Find(2)=5, Find(7)=5, Add (2,7)=56 Failed, w=152\",\"Find(1)=5, Find(6)=5, Add (1,6)=60 Failed, w=152\",\"Find(3)=5, Find(5)=5, Add (3,5)=63 Failed, w=152\",\"Find(2)=5, Find(3)=5, Add (2,3)=68 Failed, w=152\",\"Find(0)=5, Find(4)=5, Add (0,4)=69 Failed, w=152\",\"Find(3)=5, Find(7)=5, Add (3,7)=74 Failed, w=152\",\"Find(4)=5, Find(6)=5, Add (4,6)=86 Failed, w=152\",\"Find(1)=5, Find(3)=5, Add (1,3)=87 Failed, w=152\",\"Find(4)=5, Find(7)=5, Add (4,7)=89 Failed, w=152\",\"Find(3)=5, Find(6)=5, Add (3,6)=93 Failed, w=152\",\"Find(4)=5, Find(5)=5, Add (4,5)=98 Failed, w=152\",\"Find(5)=5, Find(6)=5, Add (5,6)=98 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,50],[0,3,37],[0,4,69],[0,5,52],[0,7,15],[1,2,13],[1,3,87],[1,4,42],[1,5,52],[1,6,60],[1,7,16],[2,3,68],[2,4,51],[2,5,9],[2,6,36],[2,7,56],[3,5,63],[3,6,93],[3,7,74],[4,5,98],[4,6,86],[4,7,89],[5,6,98],[5,7,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,7)=0,(2,5)=9,(1,2)=13,(0,7)=15,(1,7)=16,(2,6)=36,(0,3)=37,(1,4)=42,(0,2)=50,(2,4)=51,(0,5)=52,(1,5)=52,(0,1)=56,(2,7)=56,(1,6)=60,(3,5)=63,(2,3)=68,(0,4)=69,(3,7)=74,(4,6)=86,(1,3)=87,(4,7)=89,(3,6)=93,(4,5)=98,(5,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=1, Find(2)=5, Add (1,2)=13 Succeeded, w=22\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(0)=0, Find(7)=5, Add (0,7)=15 Succeeded, w=37\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 6, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=16 Failed, w=37\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 3, 4: 4, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=6, Add (2,6)=36 Succeeded, w=73\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 4, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(3)=3, Add (0,3)=37 Succeeded, w=110\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=4, Add (1,4)=42 Succeeded, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(2)=5, Add (0,2)=50 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(4)=5, Add (2,4)=51 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(5)=5, Add (0,5)=52 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(5)=5, Add (1,5)=52 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(1)=5, Add (0,1)=56 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(7)=5, Add (2,7)=56 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(6)=5, Add (1,6)=60 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=63 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(3)=5, Add (2,3)=68 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(4)=5, Add (0,4)=69 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=74 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(6)=5, Add (4,6)=86 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(3)=5, Add (1,3)=87 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(7)=5, Add (4,7)=89 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(6)=5, Add (3,6)=93 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(4)=5, Find(5)=5, Add (4,5)=98 Failed, w=152\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(6)=5, Add (5,6)=98 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[0,2,12],[0,3,58],[1,2,70],[1,3,36],[2,3,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,12],[0,3,58],[1,2,70],[1,3,36],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,12],[0,3,58],[1,2,70],[1,3,36],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,12],[0,3,58],[1,2,70],[1,3,36],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12, w=12\",\"Add (2,3)=30, w=42\",\"Add (1,3)=36, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,12],[0,3,58],[1,2,70],[1,3,36],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=12 Succeeded, w=12\",\"Add (2,3)=30 Succeeded, w=42\",\"Add (1,3)=36 Succeeded, w=78\",\"Add (0,1)=49 Failed, w=78\",\"Add (0,3)=58 Failed, w=78\",\"Add (1,2)=70 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,12],[0,3,58],[1,2,70],[1,3,36],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(2,3)=30,(1,3)=36,(0,1)=49,(0,3)=58,(1,2)=70]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Find(2)=0, Find(3)=3, Add (2,3)=30 Succeeded, w=42\",\"Find(1)=1, Find(3)=0, Add (1,3)=36 Succeeded, w=78\",\"Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=78\",\"Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=78\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,12],[0,3,58],[1,2,70],[1,3,36],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=12,(2,3)=30,(1,3)=36,(0,1)=49,(0,3)=58,(1,2)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=30 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=36 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=49 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,53],[0,2,11],[0,3,66],[0,4,60],[1,2,62],[1,3,70],[1,4,39],[2,3,50],[2,4,23],[3,4,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,11],[0,3,66],[0,4,60],[1,2,62],[1,3,70],[1,4,39],[2,3,50],[2,4,23],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,11],[0,3,66],[0,4,60],[1,2,62],[1,3,70],[1,4,39],[2,3,50],[2,4,23],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,11],[0,3,66],[0,4,60],[1,2,62],[1,3,70],[1,4,39],[2,3,50],[2,4,23],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11, w=11\",\"Add (2,4)=23, w=34\",\"Add (1,4)=39, w=73\",\"Add (2,3)=50, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,11],[0,3,66],[0,4,60],[1,2,62],[1,3,70],[1,4,39],[2,3,50],[2,4,23],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11 Succeeded, w=11\",\"Add (2,4)=23 Succeeded, w=34\",\"Add (1,4)=39 Succeeded, w=73\",\"Add (2,3)=50 Succeeded, w=123\",\"Add (0,1)=53 Failed, w=123\",\"Add (3,4)=53 Failed, w=123\",\"Add (0,4)=60 Failed, w=123\",\"Add (1,2)=62 Failed, w=123\",\"Add (0,3)=66 Failed, w=123\",\"Add (1,3)=70 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,11],[0,3,66],[0,4,60],[1,2,62],[1,3,70],[1,4,39],[2,3,50],[2,4,23],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(2,4)=23,(1,4)=39,(2,3)=50,(0,1)=53,(3,4)=53,(0,4)=60,(1,2)=62,(0,3)=66,(1,3)=70]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(2)=0, Find(4)=4, Add (2,4)=23 Succeeded, w=34\",\"Find(1)=1, Find(4)=0, Add (1,4)=39 Succeeded, w=73\",\"Find(2)=0, Find(3)=3, Add (2,3)=50 Succeeded, w=123\",\"Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=123\",\"Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=123\",\"Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=123\",\"Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=123\",\"Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=123\",\"Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,11],[0,3,66],[0,4,60],[1,2,62],[1,3,70],[1,4,39],[2,3,50],[2,4,23],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(2,4)=23,(1,4)=39,(2,3)=50,(0,1)=53,(3,4)=53,(0,4)=60,(1,2)=62,(0,3)=66,(1,3)=70]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=23 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=39 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=3, Add (2,3)=50 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=53 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=53 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=60 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=62 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=70 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,41],[0,3,71],[1,2,79],[2,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,71],[1,2,79],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,71],[1,2,79],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,71],[1,2,79],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=41, w=41\",\"Add (0,3)=71, w=112\",\"Add (1,2)=79, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,71],[1,2,79],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=41 Succeeded, w=41\",\"Add (0,3)=71 Succeeded, w=112\",\"Add (1,2)=79 Succeeded, w=191\",\"Add (2,3)=87 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,71],[1,2,79],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=41,(0,3)=71,(1,2)=79,(2,3)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=41\",\"Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=112\",\"Find(1)=1, Find(2)=0, Add (1,2)=79 Succeeded, w=191\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,41],[0,3,71],[1,2,79],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=41,(0,3)=71,(1,2)=79,(2,3)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=71 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=79 Succeeded, w=191\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,2,44],[0,3,45],[0,4,5],[1,3,6],[1,4,88],[2,3,32],[2,4,97],[3,4,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,44],[0,3,45],[0,4,5],[1,3,6],[1,4,88],[2,3,32],[2,4,97],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,44],[0,3,45],[0,4,5],[1,3,6],[1,4,88],[2,3,32],[2,4,97],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,44],[0,3,45],[0,4,5],[1,3,6],[1,4,88],[2,3,32],[2,4,97],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5, w=5\",\"Add (1,3)=6, w=11\",\"Add (2,3)=32, w=43\",\"Add (0,2)=44, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,44],[0,3,45],[0,4,5],[1,3,6],[1,4,88],[2,3,32],[2,4,97],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=5 Succeeded, w=5\",\"Add (1,3)=6 Succeeded, w=11\",\"Add (2,3)=32 Succeeded, w=43\",\"Add (0,2)=44 Succeeded, w=87\",\"Add (0,3)=45 Failed, w=87\",\"Add (0,1)=79 Failed, w=87\",\"Add (3,4)=79 Failed, w=87\",\"Add (1,4)=88 Failed, w=87\",\"Add (2,4)=97 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,44],[0,3,45],[0,4,5],[1,3,6],[1,4,88],[2,3,32],[2,4,97],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(1,3)=6,(2,3)=32,(0,2)=44,(0,3)=45,(0,1)=79,(3,4)=79,(1,4)=88,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=11\",\"Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=43\",\"Find(0)=0, Find(2)=1, Add (0,2)=44 Succeeded, w=87\",\"Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=87\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=87\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=87\",\"Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=87\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,44],[0,3,45],[0,4,5],[1,3,6],[1,4,88],[2,3,32],[2,4,97],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=5,(1,3)=6,(2,3)=32,(0,2)=44,(0,3)=45,(0,1)=79,(3,4)=79,(1,4)=88,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0}, Find(2)=2, Find(3)=1, Add (2,3)=32 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0}, Find(0)=0, Find(2)=1, Add (0,2)=44 Succeeded, w=87\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=88 Failed, w=87\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,60],[0,4,48],[0,5,23],[1,2,8],[1,3,64],[1,4,64],[2,3,68],[2,4,36],[3,4,9],[3,5,69],[4,5,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,4,48],[0,5,23],[1,2,8],[1,3,64],[1,4,64],[2,3,68],[2,4,36],[3,4,9],[3,5,69],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,4,48],[0,5,23],[1,2,8],[1,3,64],[1,4,64],[2,3,68],[2,4,36],[3,4,9],[3,5,69],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (2,4)\",\"Add (0,4)\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,4,48],[0,5,23],[1,2,8],[1,3,64],[1,4,64],[2,3,68],[2,4,36],[3,4,9],[3,5,69],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8, w=8\",\"Add (3,4)=9, w=17\",\"Add (0,5)=23, w=40\",\"Add (2,4)=36, w=76\",\"Add (0,4)=48, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,4,48],[0,5,23],[1,2,8],[1,3,64],[1,4,64],[2,3,68],[2,4,36],[3,4,9],[3,5,69],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8 Succeeded, w=8\",\"Add (3,4)=9 Succeeded, w=17\",\"Add (0,5)=23 Succeeded, w=40\",\"Add (2,4)=36 Succeeded, w=76\",\"Add (0,4)=48 Succeeded, w=124\",\"Add (0,2)=60 Failed, w=124\",\"Add (1,3)=64 Failed, w=124\",\"Add (1,4)=64 Failed, w=124\",\"Add (2,3)=68 Failed, w=124\",\"Add (3,5)=69 Failed, w=124\",\"Add (4,5)=86 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,4,48],[0,5,23],[1,2,8],[1,3,64],[1,4,64],[2,3,68],[2,4,36],[3,4,9],[3,5,69],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(3,4)=9,(0,5)=23,(2,4)=36,(0,4)=48,(0,2)=60,(1,3)=64,(1,4)=64,(2,3)=68,(3,5)=69,(4,5)=86]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=17\",\"Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=40\",\"Find(2)=1, Find(4)=3, Add (2,4)=36 Succeeded, w=76\",\"Find(0)=0, Find(4)=1, Add (0,4)=48 Succeeded, w=124\",\"Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=124\",\"Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=124\",\"Find(1)=1, Find(4)=1, Add (1,4)=64 Failed, w=124\",\"Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=124\",\"Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=124\",\"Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,60],[0,4,48],[0,5,23],[1,2,8],[1,3,64],[1,4,64],[2,3,68],[2,4,36],[3,4,9],[3,5,69],[4,5,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(3,4)=9,(0,5)=23,(2,4)=36,(0,4)=48,(0,2)=60,(1,3)=64,(1,4)=64,(2,3)=68,(3,5)=69,(4,5)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 0}, Find(2)=1, Find(4)=3, Add (2,4)=36 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(0)=0, Find(4)=1, Add (0,4)=48 Succeeded, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(0)=1, Find(2)=1, Add (0,2)=60 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(1)=1, Find(4)=1, Add (1,4)=64 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=86 Failed, w=124\"],\"Answer\":124}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,3,76],[0,4,72],[0,5,59],[1,2,16],[1,5,0],[1,6,42],[2,4,8],[2,6,63],[3,6,83],[5,6,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,76],[0,4,72],[0,5,59],[1,2,16],[1,5,0],[1,6,42],[2,4,8],[2,6,63],[3,6,83],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,76],[0,4,72],[0,5,59],[1,2,16],[1,5,0],[1,6,42],[2,4,8],[2,6,63],[3,6,83],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,76],[0,4,72],[0,5,59],[1,2,16],[1,5,0],[1,6,42],[2,4,8],[2,6,63],[3,6,83],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0, w=0\",\"Add (5,6)=6, w=6\",\"Add (2,4)=8, w=14\",\"Add (0,1)=9, w=23\",\"Add (1,2)=16, w=39\",\"Add (0,3)=76, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,76],[0,4,72],[0,5,59],[1,2,16],[1,5,0],[1,6,42],[2,4,8],[2,6,63],[3,6,83],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=0 Succeeded, w=0\",\"Add (5,6)=6 Succeeded, w=6\",\"Add (2,4)=8 Succeeded, w=14\",\"Add (0,1)=9 Succeeded, w=23\",\"Add (1,2)=16 Succeeded, w=39\",\"Add (1,6)=42 Failed, w=39\",\"Add (0,5)=59 Failed, w=39\",\"Add (2,6)=63 Failed, w=39\",\"Add (0,4)=72 Failed, w=39\",\"Add (0,3)=76 Succeeded, w=115\",\"Add (3,6)=83 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,76],[0,4,72],[0,5,59],[1,2,16],[1,5,0],[1,6,42],[2,4,8],[2,6,63],[3,6,83],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(5,6)=6,(2,4)=8,(0,1)=9,(1,2)=16,(1,6)=42,(0,5)=59,(2,6)=63,(0,4)=72,(0,3)=76,(3,6)=83]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Find(5)=1, Find(6)=6, Add (5,6)=6 Succeeded, w=6\",\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=23\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=39\",\"Find(1)=1, Find(6)=1, Add (1,6)=42 Failed, w=39\",\"Find(0)=1, Find(5)=1, Add (0,5)=59 Failed, w=39\",\"Find(2)=1, Find(6)=1, Add (2,6)=63 Failed, w=39\",\"Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=39\",\"Find(0)=1, Find(3)=3, Add (0,3)=76 Succeeded, w=115\",\"Find(3)=1, Find(6)=1, Add (3,6)=83 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,3,76],[0,4,72],[0,5,59],[1,2,16],[1,5,0],[1,6,42],[2,4,8],[2,6,63],[3,6,83],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=0,(5,6)=6,(2,4)=8,(0,1)=9,(1,2)=16,(1,6)=42,(0,5)=59,(2,6)=63,(0,4)=72,(0,3)=76,(3,6)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=42 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=59 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 2, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=63 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=72 Failed, w=39\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=3, Add (0,3)=76 Succeeded, w=115\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=83 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,77],[0,2,44],[0,3,81],[0,4,35],[1,2,72],[1,3,74],[1,4,71],[2,3,34],[2,4,89],[3,4,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,44],[0,3,81],[0,4,35],[1,2,72],[1,3,74],[1,4,71],[2,3,34],[2,4,89],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,44],[0,3,81],[0,4,35],[1,2,72],[1,3,74],[1,4,71],[2,3,34],[2,4,89],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,44],[0,3,81],[0,4,35],[1,2,72],[1,3,74],[1,4,71],[2,3,34],[2,4,89],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=34, w=34\",\"Add (0,4)=35, w=69\",\"Add (0,2)=44, w=113\",\"Add (1,4)=71, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,44],[0,3,81],[0,4,35],[1,2,72],[1,3,74],[1,4,71],[2,3,34],[2,4,89],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=34 Succeeded, w=34\",\"Add (0,4)=35 Succeeded, w=69\",\"Add (0,2)=44 Succeeded, w=113\",\"Add (1,4)=71 Succeeded, w=184\",\"Add (1,2)=72 Failed, w=184\",\"Add (1,3)=74 Failed, w=184\",\"Add (0,1)=77 Failed, w=184\",\"Add (0,3)=81 Failed, w=184\",\"Add (3,4)=81 Failed, w=184\",\"Add (2,4)=89 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,44],[0,3,81],[0,4,35],[1,2,72],[1,3,74],[1,4,71],[2,3,34],[2,4,89],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=34,(0,4)=35,(0,2)=44,(1,4)=71,(1,2)=72,(1,3)=74,(0,1)=77,(0,3)=81,(3,4)=81,(2,4)=89]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=34\",\"Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=69\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=113\",\"Find(1)=1, Find(4)=0, Add (1,4)=71 Succeeded, w=184\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=184\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=184\",\"Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=184\",\"Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=184\",\"Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=184\",\"Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,77],[0,2,44],[0,3,81],[0,4,35],[1,2,72],[1,3,74],[1,4,71],[2,3,34],[2,4,89],[3,4,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=34,(0,4)=35,(0,2)=44,(1,4)=71,(1,2)=72,(1,3)=74,(0,1)=77,(0,3)=81,(3,4)=81,(2,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=71 Succeeded, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=77 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=81 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=184\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=89 Failed, w=184\"],\"Answer\":184}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,23],[0,3,80],[1,3,100],[1,4,54],[2,6,16],[2,7,28],[3,4,11],[3,5,23],[3,7,75],[4,6,6],[4,7,80],[5,6,16],[5,7,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[1,3,100],[1,4,54],[2,6,16],[2,7,28],[3,4,11],[3,5,23],[3,7,75],[4,6,6],[4,7,80],[5,6,16],[5,7,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[1,3,100],[1,4,54],[2,6,16],[2,7,28],[3,4,11],[3,5,23],[3,7,75],[4,6,6],[4,7,80],[5,6,16],[5,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,4)\",\"Add (2,6)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (2,7)\",\"Add (1,4)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[1,3,100],[1,4,54],[2,6,16],[2,7,28],[3,4,11],[3,5,23],[3,7,75],[4,6,6],[4,7,80],[5,6,16],[5,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=6, w=6\",\"Add (3,4)=11, w=17\",\"Add (2,6)=16, w=33\",\"Add (5,6)=16, w=49\",\"Add (0,2)=23, w=72\",\"Add (2,7)=28, w=100\",\"Add (1,4)=54, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[1,3,100],[1,4,54],[2,6,16],[2,7,28],[3,4,11],[3,5,23],[3,7,75],[4,6,6],[4,7,80],[5,6,16],[5,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=6 Succeeded, w=6\",\"Add (3,4)=11 Succeeded, w=17\",\"Add (2,6)=16 Succeeded, w=33\",\"Add (5,6)=16 Succeeded, w=49\",\"Add (0,2)=23 Succeeded, w=72\",\"Add (3,5)=23 Failed, w=72\",\"Add (2,7)=28 Succeeded, w=100\",\"Add (1,4)=54 Succeeded, w=154\",\"Add (5,7)=61 Failed, w=154\",\"Add (3,7)=75 Failed, w=154\",\"Add (0,3)=80 Failed, w=154\",\"Add (4,7)=80 Failed, w=154\",\"Add (1,3)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[1,3,100],[1,4,54],[2,6,16],[2,7,28],[3,4,11],[3,5,23],[3,7,75],[4,6,6],[4,7,80],[5,6,16],[5,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=6,(3,4)=11,(2,6)=16,(5,6)=16,(0,2)=23,(3,5)=23,(2,7)=28,(1,4)=54,(5,7)=61,(3,7)=75,(0,3)=80,(4,7)=80,(1,3)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=6\",\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=17\",\"Find(2)=2, Find(6)=4, Add (2,6)=16 Succeeded, w=33\",\"Find(5)=5, Find(6)=4, Add (5,6)=16 Succeeded, w=49\",\"Find(0)=0, Find(2)=4, Add (0,2)=23 Succeeded, w=72\",\"Find(3)=4, Find(5)=4, Add (3,5)=23 Failed, w=72\",\"Find(2)=4, Find(7)=7, Add (2,7)=28 Succeeded, w=100\",\"Find(1)=1, Find(4)=4, Add (1,4)=54 Succeeded, w=154\",\"Find(5)=4, Find(7)=4, Add (5,7)=61 Failed, w=154\",\"Find(3)=4, Find(7)=4, Add (3,7)=75 Failed, w=154\",\"Find(0)=4, Find(3)=4, Add (0,3)=80 Failed, w=154\",\"Find(4)=4, Find(7)=4, Add (4,7)=80 Failed, w=154\",\"Find(1)=4, Find(3)=4, Add (1,3)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,23],[0,3,80],[1,3,100],[1,4,54],[2,6,16],[2,7,28],[3,4,11],[3,5,23],[3,7,75],[4,6,6],[4,7,80],[5,6,16],[5,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=6,(3,4)=11,(2,6)=16,(5,6)=16,(0,2)=23,(3,5)=23,(2,7)=28,(1,4)=54,(5,7)=61,(3,7)=75,(0,3)=80,(4,7)=80,(1,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(2)=2, Find(6)=4, Add (2,6)=16 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(5)=5, Find(6)=4, Add (5,6)=16 Succeeded, w=49\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(0)=0, Find(2)=4, Add (0,2)=23 Succeeded, w=72\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(3)=4, Find(5)=4, Add (3,5)=23 Failed, w=72\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=7, Add (2,7)=28 Succeeded, w=100\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=1, Find(4)=4, Add (1,4)=54 Succeeded, w=154\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=61 Failed, w=154\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=75 Failed, w=154\",\"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)=80 Failed, w=154\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=80 Failed, w=154\",\"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)=100 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,3,42],[0,4,95],[0,5,18],[1,2,54],[1,3,3],[1,5,99],[1,6,23],[2,3,10],[3,4,39],[3,5,54],[3,6,0],[4,5,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,3,42],[0,4,95],[0,5,18],[1,2,54],[1,3,3],[1,5,99],[1,6,23],[2,3,10],[3,4,39],[3,5,54],[3,6,0],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,3,42],[0,4,95],[0,5,18],[1,2,54],[1,3,3],[1,5,99],[1,6,23],[2,3,10],[3,4,39],[3,5,54],[3,6,0],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (3,4)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,3,42],[0,4,95],[0,5,18],[1,2,54],[1,3,3],[1,5,99],[1,6,23],[2,3,10],[3,4,39],[3,5,54],[3,6,0],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (1,3)=3, w=3\",\"Add (0,1)=5, w=8\",\"Add (2,3)=10, w=18\",\"Add (0,5)=18, w=36\",\"Add (3,4)=39, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,3,42],[0,4,95],[0,5,18],[1,2,54],[1,3,3],[1,5,99],[1,6,23],[2,3,10],[3,4,39],[3,5,54],[3,6,0],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (1,3)=3 Succeeded, w=3\",\"Add (0,1)=5 Succeeded, w=8\",\"Add (2,3)=10 Succeeded, w=18\",\"Add (0,5)=18 Succeeded, w=36\",\"Add (1,6)=23 Failed, w=36\",\"Add (3,4)=39 Succeeded, w=75\",\"Add (0,3)=42 Failed, w=75\",\"Add (1,2)=54 Failed, w=75\",\"Add (3,5)=54 Failed, w=75\",\"Add (4,5)=79 Failed, w=75\",\"Add (0,4)=95 Failed, w=75\",\"Add (1,5)=99 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,3,42],[0,4,95],[0,5,18],[1,2,54],[1,3,3],[1,5,99],[1,6,23],[2,3,10],[3,4,39],[3,5,54],[3,6,0],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(1,3)=3,(0,1)=5,(2,3)=10,(0,5)=18,(1,6)=23,(3,4)=39,(0,3)=42,(1,2)=54,(3,5)=54,(4,5)=79,(0,4)=95,(1,5)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=3, Add (0,1)=5 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=18\",\"Find(0)=3, Find(5)=5, Add (0,5)=18 Succeeded, w=36\",\"Find(1)=3, Find(6)=3, Add (1,6)=23 Failed, w=36\",\"Find(3)=3, Find(4)=4, Add (3,4)=39 Succeeded, w=75\",\"Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=75\",\"Find(1)=3, Find(2)=3, Add (1,2)=54 Failed, w=75\",\"Find(3)=3, Find(5)=3, Add (3,5)=54 Failed, w=75\",\"Find(4)=3, Find(5)=3, Add (4,5)=79 Failed, w=75\",\"Find(0)=3, Find(4)=3, Add (0,4)=95 Failed, w=75\",\"Find(1)=3, Find(5)=3, Add (1,5)=99 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,3,42],[0,4,95],[0,5,18],[1,2,54],[1,3,3],[1,5,99],[1,6,23],[2,3,10],[3,4,39],[3,5,54],[3,6,0],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(1,3)=3,(0,1)=5,(2,3)=10,(0,5)=18,(1,6)=23,(3,4)=39,(0,3)=42,(1,2)=54,(3,5)=54,(4,5)=79,(0,4)=95,(1,5)=99]\",\"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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3}, Find(0)=0, Find(1)=3, Add (0,1)=5 Succeeded, w=8\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=18\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(0)=3, Find(5)=5, Add (0,5)=18 Succeeded, w=36\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=23 Failed, w=36\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(4)=4, Add (3,4)=39 Succeeded, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(3)=3, Add (0,3)=42 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=54 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(5)=3, Add (3,5)=54 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=79 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(4)=3, Add (0,4)=95 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(5)=3, Add (1,5)=99 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,74],[0,2,35],[0,3,44],[0,4,70],[0,5,97],[1,2,6],[1,3,13],[1,4,38],[1,5,22],[2,4,99],[3,5,19],[4,5,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,35],[0,3,44],[0,4,70],[0,5,97],[1,2,6],[1,3,13],[1,4,38],[1,5,22],[2,4,99],[3,5,19],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,35],[0,3,44],[0,4,70],[0,5,97],[1,2,6],[1,3,13],[1,4,38],[1,5,22],[2,4,99],[3,5,19],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,35],[0,3,44],[0,4,70],[0,5,97],[1,2,6],[1,3,13],[1,4,38],[1,5,22],[2,4,99],[3,5,19],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (1,3)=13, w=19\",\"Add (3,5)=19, w=38\",\"Add (0,2)=35, w=73\",\"Add (1,4)=38, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,35],[0,3,44],[0,4,70],[0,5,97],[1,2,6],[1,3,13],[1,4,38],[1,5,22],[2,4,99],[3,5,19],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (1,3)=13 Succeeded, w=19\",\"Add (3,5)=19 Succeeded, w=38\",\"Add (1,5)=22 Failed, w=38\",\"Add (0,2)=35 Succeeded, w=73\",\"Add (1,4)=38 Succeeded, w=111\",\"Add (0,3)=44 Failed, w=111\",\"Add (0,4)=70 Failed, w=111\",\"Add (0,1)=74 Failed, w=111\",\"Add (4,5)=77 Failed, w=111\",\"Add (0,5)=97 Failed, w=111\",\"Add (2,4)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,35],[0,3,44],[0,4,70],[0,5,97],[1,2,6],[1,3,13],[1,4,38],[1,5,22],[2,4,99],[3,5,19],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,3)=13,(3,5)=19,(1,5)=22,(0,2)=35,(1,4)=38,(0,3)=44,(0,4)=70,(0,1)=74,(4,5)=77,(0,5)=97,(2,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=19\",\"Find(3)=1, Find(5)=5, Add (3,5)=19 Succeeded, w=38\",\"Find(1)=1, Find(5)=1, Add (1,5)=22 Failed, w=38\",\"Find(0)=0, Find(2)=1, Add (0,2)=35 Succeeded, w=73\",\"Find(1)=1, Find(4)=4, Add (1,4)=38 Succeeded, w=111\",\"Find(0)=1, Find(3)=1, Add (0,3)=44 Failed, w=111\",\"Find(0)=1, Find(4)=1, Add (0,4)=70 Failed, w=111\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=111\",\"Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=111\",\"Find(0)=1, Find(5)=1, Add (0,5)=97 Failed, w=111\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,74],[0,2,35],[0,3,44],[0,4,70],[0,5,97],[1,2,6],[1,3,13],[1,4,38],[1,5,22],[2,4,99],[3,5,19],[4,5,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(1,3)=13,(3,5)=19,(1,5)=22,(0,2)=35,(1,4)=38,(0,3)=44,(0,4)=70,(0,1)=74,(4,5)=77,(0,5)=97,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(3)=1, Find(5)=5, Add (3,5)=19 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=22 Failed, w=38\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=0, Find(2)=1, Add (0,2)=35 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=38 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=44 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=70 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=77 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=97 Failed, w=111\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,100],[0,3,48],[0,4,95],[0,5,35],[0,6,96],[0,7,85],[1,2,26],[1,4,40],[1,5,5],[1,6,90],[1,7,31],[2,3,32],[2,4,64],[2,5,33],[2,6,30],[2,7,82],[3,4,66],[3,5,27],[3,6,74],[3,7,40],[4,5,32],[4,6,36],[4,7,7],[5,6,71],[5,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,100],[0,3,48],[0,4,95],[0,5,35],[0,6,96],[0,7,85],[1,2,26],[1,4,40],[1,5,5],[1,6,90],[1,7,31],[2,3,32],[2,4,64],[2,5,33],[2,6,30],[2,7,82],[3,4,66],[3,5,27],[3,6,74],[3,7,40],[4,5,32],[4,6,36],[4,7,7],[5,6,71],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":161}",
"role": "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],[0,3,48],[0,4,95],[0,5,35],[0,6,96],[0,7,85],[1,2,26],[1,4,40],[1,5,5],[1,6,90],[1,7,31],[2,3,32],[2,4,64],[2,5,33],[2,6,30],[2,7,82],[3,4,66],[3,5,27],[3,6,74],[3,7,40],[4,5,32],[4,6,36],[4,7,7],[5,6,71],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (1,7)\",\"Add (0,5)\"],\"Answer\":161}",
"role": "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],[0,3,48],[0,4,95],[0,5,35],[0,6,96],[0,7,85],[1,2,26],[1,4,40],[1,5,5],[1,6,90],[1,7,31],[2,3,32],[2,4,64],[2,5,33],[2,6,30],[2,7,82],[3,4,66],[3,5,27],[3,6,74],[3,7,40],[4,5,32],[4,6,36],[4,7,7],[5,6,71],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5, w=5\",\"Add (4,7)=7, w=12\",\"Add (1,2)=26, w=38\",\"Add (3,5)=27, w=65\",\"Add (2,6)=30, w=95\",\"Add (1,7)=31, w=126\",\"Add (0,5)=35, w=161\"],\"Answer\":161}",
"role": "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],[0,3,48],[0,4,95],[0,5,35],[0,6,96],[0,7,85],[1,2,26],[1,4,40],[1,5,5],[1,6,90],[1,7,31],[2,3,32],[2,4,64],[2,5,33],[2,6,30],[2,7,82],[3,4,66],[3,5,27],[3,6,74],[3,7,40],[4,5,32],[4,6,36],[4,7,7],[5,6,71],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5 Succeeded, w=5\",\"Add (4,7)=7 Succeeded, w=12\",\"Add (1,2)=26 Succeeded, w=38\",\"Add (3,5)=27 Succeeded, w=65\",\"Add (2,6)=30 Succeeded, w=95\",\"Add (1,7)=31 Succeeded, w=126\",\"Add (2,3)=32 Failed, w=126\",\"Add (4,5)=32 Failed, w=126\",\"Add (2,5)=33 Failed, w=126\",\"Add (0,5)=35 Succeeded, w=161\",\"Add (4,6)=36 Failed, w=161\",\"Add (1,4)=40 Failed, w=161\",\"Add (3,7)=40 Failed, w=161\",\"Add (0,3)=48 Failed, w=161\",\"Add (2,4)=64 Failed, w=161\",\"Add (3,4)=66 Failed, w=161\",\"Add (5,6)=71 Failed, w=161\",\"Add (3,6)=74 Failed, w=161\",\"Add (2,7)=82 Failed, w=161\",\"Add (0,7)=85 Failed, w=161\",\"Add (5,7)=87 Failed, w=161\",\"Add (1,6)=90 Failed, w=161\",\"Add (0,4)=95 Failed, w=161\",\"Add (0,6)=96 Failed, w=161\",\"Add (0,1)=100 Failed, w=161\"],\"Answer\":161}",
"role": "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],[0,3,48],[0,4,95],[0,5,35],[0,6,96],[0,7,85],[1,2,26],[1,4,40],[1,5,5],[1,6,90],[1,7,31],[2,3,32],[2,4,64],[2,5,33],[2,6,30],[2,7,82],[3,4,66],[3,5,27],[3,6,74],[3,7,40],[4,5,32],[4,6,36],[4,7,7],[5,6,71],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(4,7)=7,(1,2)=26,(3,5)=27,(2,6)=30,(1,7)=31,(2,3)=32,(4,5)=32,(2,5)=33,(0,5)=35,(4,6)=36,(1,4)=40,(3,7)=40,(0,3)=48,(2,4)=64,(3,4)=66,(5,6)=71,(3,6)=74,(2,7)=82,(0,7)=85,(5,7)=87,(1,6)=90,(0,4)=95,(0,6)=96,(0,1)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=12\",\"Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=38\",\"Find(3)=3, Find(5)=1, Add (3,5)=27 Succeeded, w=65\",\"Find(2)=1, Find(6)=6, Add (2,6)=30 Succeeded, w=95\",\"Find(1)=1, Find(7)=4, Add (1,7)=31 Succeeded, w=126\",\"Find(2)=1, Find(3)=1, Add (2,3)=32 Failed, w=126\",\"Find(4)=1, Find(5)=1, Add (4,5)=32 Failed, w=126\",\"Find(2)=1, Find(5)=1, Add (2,5)=33 Failed, w=126\",\"Find(0)=0, Find(5)=1, Add (0,5)=35 Succeeded, w=161\",\"Find(4)=1, Find(6)=1, Add (4,6)=36 Failed, w=161\",\"Find(1)=1, Find(4)=1, Add (1,4)=40 Failed, w=161\",\"Find(3)=1, Find(7)=1, Add (3,7)=40 Failed, w=161\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=161\",\"Find(2)=1, Find(4)=1, Add (2,4)=64 Failed, w=161\",\"Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=161\",\"Find(5)=1, Find(6)=1, Add (5,6)=71 Failed, w=161\",\"Find(3)=1, Find(6)=1, Add (3,6)=74 Failed, w=161\",\"Find(2)=1, Find(7)=1, Add (2,7)=82 Failed, w=161\",\"Find(0)=1, Find(7)=1, Add (0,7)=85 Failed, w=161\",\"Find(5)=1, Find(7)=1, Add (5,7)=87 Failed, w=161\",\"Find(1)=1, Find(6)=1, Add (1,6)=90 Failed, w=161\",\"Find(0)=1, Find(4)=1, Add (0,4)=95 Failed, w=161\",\"Find(0)=1, Find(6)=1, Add (0,6)=96 Failed, w=161\",\"Find(0)=1, Find(1)=1, Add (0,1)=100 Failed, w=161\"],\"Answer\":161}",
"role": "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],[0,3,48],[0,4,95],[0,5,35],[0,6,96],[0,7,85],[1,2,26],[1,4,40],[1,5,5],[1,6,90],[1,7,31],[2,3,32],[2,4,64],[2,5,33],[2,6,30],[2,7,82],[3,4,66],[3,5,27],[3,6,74],[3,7,40],[4,5,32],[4,6,36],[4,7,7],[5,6,71],[5,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(4,7)=7,(1,2)=26,(3,5)=27,(2,6)=30,(1,7)=31,(2,3)=32,(4,5)=32,(2,5)=33,(0,5)=35,(4,6)=36,(1,4)=40,(3,7)=40,(0,3)=48,(2,4)=64,(3,4)=66,(5,6)=71,(3,6)=74,(2,7)=82,(0,7)=85,(5,7)=87,(1,6)=90,(0,4)=95,(0,6)=96,(0,1)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 4}, Find(1)=1, Find(2)=2, Add (1,2)=26 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 4}, Find(3)=3, Find(5)=1, Add (3,5)=27 Succeeded, w=65\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 4}, Find(2)=1, Find(6)=6, Add (2,6)=30 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(7)=4, Add (1,7)=31 Succeeded, w=126\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(2)=1, Find(3)=1, Add (2,3)=32 Failed, w=126\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(4)=1, Find(5)=1, Add (4,5)=32 Failed, w=126\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(2)=1, Find(5)=1, Add (2,5)=33 Failed, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(0)=0, Find(5)=1, Add (0,5)=35 Succeeded, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(4)=1, Find(6)=1, Add (4,6)=36 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(1)=1, Find(4)=1, Add (1,4)=40 Failed, w=161\",\"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)=40 Failed, w=161\",\"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)=48 Failed, w=161\",\"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)=64 Failed, w=161\",\"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)=66 Failed, w=161\",\"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)=71 Failed, w=161\",\"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)=74 Failed, w=161\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=82 Failed, w=161\",\"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)=85 Failed, w=161\",\"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)=87 Failed, w=161\",\"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)=90 Failed, w=161\",\"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)=95 Failed, w=161\",\"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)=96 Failed, w=161\",\"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)=100 Failed, w=161\"],\"Answer\":161}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,10],[0,4,11],[0,5,7],[0,6,49],[0,7,62],[1,2,42],[1,5,65],[1,6,16],[1,7,86],[2,3,40],[2,4,82],[2,5,39],[2,7,34],[3,4,77],[3,5,7],[3,6,98],[3,7,6],[4,5,60],[4,6,19],[4,7,42],[5,6,87],[5,7,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,4,11],[0,5,7],[0,6,49],[0,7,62],[1,2,42],[1,5,65],[1,6,16],[1,7,86],[2,3,40],[2,4,82],[2,5,39],[2,7,34],[3,4,77],[3,5,7],[3,6,98],[3,7,6],[4,5,60],[4,6,19],[4,7,42],[5,6,87],[5,7,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,4,11],[0,5,7],[0,6,49],[0,7,62],[1,2,42],[1,5,65],[1,6,16],[1,7,86],[2,3,40],[2,4,82],[2,5,39],[2,7,34],[3,4,77],[3,5,7],[3,6,98],[3,7,6],[4,5,60],[4,6,19],[4,7,42],[5,6,87],[5,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,6)\",\"Add (4,6)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,4,11],[0,5,7],[0,6,49],[0,7,62],[1,2,42],[1,5,65],[1,6,16],[1,7,86],[2,3,40],[2,4,82],[2,5,39],[2,7,34],[3,4,77],[3,5,7],[3,6,98],[3,7,6],[4,5,60],[4,6,19],[4,7,42],[5,6,87],[5,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=6, w=6\",\"Add (0,5)=7, w=13\",\"Add (3,5)=7, w=20\",\"Add (0,2)=10, w=30\",\"Add (0,4)=11, w=41\",\"Add (1,6)=16, w=57\",\"Add (4,6)=19, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,4,11],[0,5,7],[0,6,49],[0,7,62],[1,2,42],[1,5,65],[1,6,16],[1,7,86],[2,3,40],[2,4,82],[2,5,39],[2,7,34],[3,4,77],[3,5,7],[3,6,98],[3,7,6],[4,5,60],[4,6,19],[4,7,42],[5,6,87],[5,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=6 Succeeded, w=6\",\"Add (0,5)=7 Succeeded, w=13\",\"Add (3,5)=7 Succeeded, w=20\",\"Add (0,2)=10 Succeeded, w=30\",\"Add (0,4)=11 Succeeded, w=41\",\"Add (1,6)=16 Succeeded, w=57\",\"Add (4,6)=19 Succeeded, w=76\",\"Add (2,7)=34 Failed, w=76\",\"Add (2,5)=39 Failed, w=76\",\"Add (2,3)=40 Failed, w=76\",\"Add (1,2)=42 Failed, w=76\",\"Add (4,7)=42 Failed, w=76\",\"Add (5,7)=42 Failed, w=76\",\"Add (0,6)=49 Failed, w=76\",\"Add (4,5)=60 Failed, w=76\",\"Add (0,7)=62 Failed, w=76\",\"Add (1,5)=65 Failed, w=76\",\"Add (3,4)=77 Failed, w=76\",\"Add (2,4)=82 Failed, w=76\",\"Add (1,7)=86 Failed, w=76\",\"Add (5,6)=87 Failed, w=76\",\"Add (3,6)=98 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,4,11],[0,5,7],[0,6,49],[0,7,62],[1,2,42],[1,5,65],[1,6,16],[1,7,86],[2,3,40],[2,4,82],[2,5,39],[2,7,34],[3,4,77],[3,5,7],[3,6,98],[3,7,6],[4,5,60],[4,6,19],[4,7,42],[5,6,87],[5,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=6,(0,5)=7,(3,5)=7,(0,2)=10,(0,4)=11,(1,6)=16,(4,6)=19,(2,7)=34,(2,5)=39,(2,3)=40,(1,2)=42,(4,7)=42,(5,7)=42,(0,6)=49,(4,5)=60,(0,7)=62,(1,5)=65,(3,4)=77,(2,4)=82,(1,7)=86,(5,6)=87,(3,6)=98]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=13\",\"Find(3)=3, Find(5)=0, Add (3,5)=7 Succeeded, w=20\",\"Find(0)=3, Find(2)=2, Add (0,2)=10 Succeeded, w=30\",\"Find(0)=3, Find(4)=4, Add (0,4)=11 Succeeded, w=41\",\"Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=57\",\"Find(4)=3, Find(6)=1, Add (4,6)=19 Succeeded, w=76\",\"Find(2)=3, Find(7)=3, Add (2,7)=34 Failed, w=76\",\"Find(2)=3, Find(5)=3, Add (2,5)=39 Failed, w=76\",\"Find(2)=3, Find(3)=3, Add (2,3)=40 Failed, w=76\",\"Find(1)=3, Find(2)=3, Add (1,2)=42 Failed, w=76\",\"Find(4)=3, Find(7)=3, Add (4,7)=42 Failed, w=76\",\"Find(5)=3, Find(7)=3, Add (5,7)=42 Failed, w=76\",\"Find(0)=3, Find(6)=3, Add (0,6)=49 Failed, w=76\",\"Find(4)=3, Find(5)=3, Add (4,5)=60 Failed, w=76\",\"Find(0)=3, Find(7)=3, Add (0,7)=62 Failed, w=76\",\"Find(1)=3, Find(5)=3, Add (1,5)=65 Failed, w=76\",\"Find(3)=3, Find(4)=3, Add (3,4)=77 Failed, w=76\",\"Find(2)=3, Find(4)=3, Add (2,4)=82 Failed, w=76\",\"Find(1)=3, Find(7)=3, Add (1,7)=86 Failed, w=76\",\"Find(5)=3, Find(6)=3, Add (5,6)=87 Failed, w=76\",\"Find(3)=3, Find(6)=3, Add (3,6)=98 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,10],[0,4,11],[0,5,7],[0,6,49],[0,7,62],[1,2,42],[1,5,65],[1,6,16],[1,7,86],[2,3,40],[2,4,82],[2,5,39],[2,7,34],[3,4,77],[3,5,7],[3,6,98],[3,7,6],[4,5,60],[4,6,19],[4,7,42],[5,6,87],[5,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=6,(0,5)=7,(3,5)=7,(0,2)=10,(0,4)=11,(1,6)=16,(4,6)=19,(2,7)=34,(2,5)=39,(2,3)=40,(1,2)=42,(4,7)=42,(5,7)=42,(0,6)=49,(4,5)=60,(0,7)=62,(1,5)=65,(3,4)=77,(2,4)=82,(1,7)=86,(5,6)=87,(3,6)=98]\",\"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)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=13\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 3}, Find(3)=3, Find(5)=0, Add (3,5)=7 Succeeded, w=20\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 0, 6: 6, 7: 3}, Find(0)=3, Find(2)=2, Add (0,2)=10 Succeeded, w=30\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 6, 7: 3}, Find(0)=3, Find(4)=4, Add (0,4)=11 Succeeded, w=41\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 0, 6: 1, 7: 3}, Find(1)=1, Find(6)=6, Add (1,6)=16 Succeeded, w=57\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 1, 7: 3}, Find(4)=3, Find(6)=1, Add (4,6)=19 Succeeded, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 1, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=34 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=39 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=40 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=42 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=42 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 1, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=42 Failed, w=76\",\"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=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=60 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=62 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=65 Failed, w=76\",\"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)=77 Failed, w=76\",\"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)=82 Failed, w=76\",\"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)=86 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=87 Failed, w=76\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=98 Failed, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,86],[0,3,92],[0,4,64],[1,3,58],[1,4,68],[2,3,76],[3,4,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,86],[0,3,92],[0,4,64],[1,3,58],[1,4,68],[2,3,76],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,86],[0,3,92],[0,4,64],[1,3,58],[1,4,68],[2,3,76],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (2,3)\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,86],[0,3,92],[0,4,64],[1,3,58],[1,4,68],[2,3,76],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=58, w=58\",\"Add (0,4)=64, w=122\",\"Add (1,4)=68, w=190\",\"Add (2,3)=76, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,86],[0,3,92],[0,4,64],[1,3,58],[1,4,68],[2,3,76],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=58 Succeeded, w=58\",\"Add (0,4)=64 Succeeded, w=122\",\"Add (1,4)=68 Succeeded, w=190\",\"Add (3,4)=70 Failed, w=190\",\"Add (2,3)=76 Succeeded, w=266\",\"Add (0,2)=86 Failed, w=266\",\"Add (0,3)=92 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,86],[0,3,92],[0,4,64],[1,3,58],[1,4,68],[2,3,76],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=58,(0,4)=64,(1,4)=68,(3,4)=70,(2,3)=76,(0,2)=86,(0,3)=92]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=58 Succeeded, w=58\",\"Find(0)=0, Find(4)=4, Add (0,4)=64 Succeeded, w=122\",\"Find(1)=1, Find(4)=0, Add (1,4)=68 Succeeded, w=190\",\"Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=190\",\"Find(2)=2, Find(3)=1, Add (2,3)=76 Succeeded, w=266\",\"Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=266\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,86],[0,3,92],[0,4,64],[1,3,58],[1,4,68],[2,3,76],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=58,(0,4)=64,(1,4)=68,(3,4)=70,(2,3)=76,(0,2)=86,(0,3)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=58 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=64 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=68 Succeeded, w=190\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=190\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=76 Succeeded, w=266\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=86 Failed, w=266\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=266\"],\"Answer\":266}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,2,9],[1,3,55],[1,4,88],[2,3,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,9],[1,3,55],[1,4,88],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,9],[1,3,55],[1,4,88],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (1,4)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,9],[1,3,55],[1,4,88],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (2,3)=37, w=46\",\"Add (1,4)=88, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,9],[1,3,55],[1,4,88],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (2,3)=37 Succeeded, w=46\",\"Add (1,3)=55 Failed, w=46\",\"Add (1,4)=88 Succeeded, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,9],[1,3,55],[1,4,88],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(2,3)=37,(1,3)=55,(1,4)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(2)=1, Find(3)=3, Add (2,3)=37 Succeeded, w=46\",\"Find(1)=1, Find(3)=1, Add (1,3)=55 Failed, w=46\",\"Find(1)=1, Find(4)=4, Add (1,4)=88 Succeeded, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,9],[1,3,55],[1,4,88],[2,3,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(2,3)=37,(1,3)=55,(1,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=37 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=1, Add (1,3)=55 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=88 Succeeded, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,68],[1,2,1],[2,3,51],[2,4,79],[3,4,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[1,2,1],[2,3,51],[2,4,79],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[1,2,1],[2,3,51],[2,4,79],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[1,2,1],[2,3,51],[2,4,79],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (2,3)=51, w=52\",\"Add (0,1)=68, w=120\",\"Add (2,4)=79, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[1,2,1],[2,3,51],[2,4,79],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (2,3)=51 Succeeded, w=52\",\"Add (0,1)=68 Succeeded, w=120\",\"Add (2,4)=79 Succeeded, w=199\",\"Add (3,4)=89 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[1,2,1],[2,3,51],[2,4,79],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(2,3)=51,(0,1)=68,(2,4)=79,(3,4)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(2)=1, Find(3)=3, Add (2,3)=51 Succeeded, w=52\",\"Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=120\",\"Find(2)=1, Find(4)=4, Add (2,4)=79 Succeeded, w=199\",\"Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[1,2,1],[2,3,51],[2,4,79],[3,4,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(2,3)=51,(0,1)=68,(2,4)=79,(3,4)=89]\",\"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: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=51 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=79 Succeeded, w=199\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=199\"],\"Answer\":199}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,2,56],[0,3,82],[0,4,47],[0,5,8],[0,6,48],[1,3,61],[1,4,5],[1,5,29],[1,6,71],[2,4,95],[2,6,9],[3,4,13],[3,5,16],[3,6,67],[4,6,78],[5,6,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,56],[0,3,82],[0,4,47],[0,5,8],[0,6,48],[1,3,61],[1,4,5],[1,5,29],[1,6,71],[2,4,95],[2,6,9],[3,4,13],[3,5,16],[3,6,67],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,56],[0,3,82],[0,4,47],[0,5,8],[0,6,48],[1,3,61],[1,4,5],[1,5,29],[1,6,71],[2,4,95],[2,6,9],[3,4,13],[3,5,16],[3,6,67],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (0,6)\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,56],[0,3,82],[0,4,47],[0,5,8],[0,6,48],[1,3,61],[1,4,5],[1,5,29],[1,6,71],[2,4,95],[2,6,9],[3,4,13],[3,5,16],[3,6,67],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5, w=5\",\"Add (0,5)=8, w=13\",\"Add (2,6)=9, w=22\",\"Add (3,4)=13, w=35\",\"Add (3,5)=16, w=51\",\"Add (0,6)=48, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,56],[0,3,82],[0,4,47],[0,5,8],[0,6,48],[1,3,61],[1,4,5],[1,5,29],[1,6,71],[2,4,95],[2,6,9],[3,4,13],[3,5,16],[3,6,67],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=5 Succeeded, w=5\",\"Add (0,5)=8 Succeeded, w=13\",\"Add (2,6)=9 Succeeded, w=22\",\"Add (3,4)=13 Succeeded, w=35\",\"Add (3,5)=16 Succeeded, w=51\",\"Add (1,5)=29 Failed, w=51\",\"Add (0,4)=47 Failed, w=51\",\"Add (0,6)=48 Succeeded, w=99\",\"Add (0,2)=56 Failed, w=99\",\"Add (1,3)=61 Failed, w=99\",\"Add (3,6)=67 Failed, w=99\",\"Add (1,6)=71 Failed, w=99\",\"Add (4,6)=78 Failed, w=99\",\"Add (0,3)=82 Failed, w=99\",\"Add (0,1)=84 Failed, w=99\",\"Add (5,6)=88 Failed, w=99\",\"Add (2,4)=95 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,56],[0,3,82],[0,4,47],[0,5,8],[0,6,48],[1,3,61],[1,4,5],[1,5,29],[1,6,71],[2,4,95],[2,6,9],[3,4,13],[3,5,16],[3,6,67],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(0,5)=8,(2,6)=9,(3,4)=13,(3,5)=16,(1,5)=29,(0,4)=47,(0,6)=48,(0,2)=56,(1,3)=61,(3,6)=67,(1,6)=71,(4,6)=78,(0,3)=82,(0,1)=84,(5,6)=88,(2,4)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=5 Succeeded, w=5\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=13\",\"Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=22\",\"Find(3)=3, Find(4)=1, Add (3,4)=13 Succeeded, w=35\",\"Find(3)=1, Find(5)=0, Add (3,5)=16 Succeeded, w=51\",\"Find(1)=1, Find(5)=1, Add (1,5)=29 Failed, w=51\",\"Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=51\",\"Find(0)=1, Find(6)=2, Add (0,6)=48 Succeeded, w=99\",\"Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=99\",\"Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=99\",\"Find(3)=1, Find(6)=1, Add (3,6)=67 Failed, w=99\",\"Find(1)=1, Find(6)=1, Add (1,6)=71 Failed, w=99\",\"Find(4)=1, Find(6)=1, Add (4,6)=78 Failed, w=99\",\"Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=99\",\"Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=99\",\"Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=99\",\"Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,56],[0,3,82],[0,4,47],[0,5,8],[0,6,48],[1,3,61],[1,4,5],[1,5,29],[1,6,71],[2,4,95],[2,6,9],[3,4,13],[3,5,16],[3,6,67],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=5,(0,5)=8,(2,6)=9,(3,4)=13,(3,5)=16,(1,5)=29,(0,4)=47,(0,6)=48,(0,2)=56,(1,3)=61,(3,6)=67,(1,6)=71,(4,6)=78,(0,3)=82,(0,1)=84,(5,6)=88,(2,4)=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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 2}, Find(3)=3, Find(4)=1, Add (3,4)=13 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 0, 6: 2}, Find(3)=1, Find(5)=0, Add (3,5)=16 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2}, Find(1)=1, Find(5)=1, Add (1,5)=29 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(4)=1, Add (0,4)=47 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(6)=2, Add (0,6)=48 Succeeded, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 2}, Find(1)=1, Find(3)=1, Add (1,3)=61 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=67 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=71 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=78 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=82 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=84 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=99\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=95 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,3],[0,2,62],[0,3,82],[0,4,97],[1,2,69],[1,4,77],[2,3,8],[2,4,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,62],[0,3,82],[0,4,97],[1,2,69],[1,4,77],[2,3,8],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,62],[0,3,82],[0,4,97],[1,2,69],[1,4,77],[2,3,8],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,2)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,62],[0,3,82],[0,4,97],[1,2,69],[1,4,77],[2,3,8],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (2,3)=8, w=11\",\"Add (2,4)=28, w=39\",\"Add (0,2)=62, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,62],[0,3,82],[0,4,97],[1,2,69],[1,4,77],[2,3,8],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (2,3)=8 Succeeded, w=11\",\"Add (2,4)=28 Succeeded, w=39\",\"Add (0,2)=62 Succeeded, w=101\",\"Add (1,2)=69 Failed, w=101\",\"Add (1,4)=77 Failed, w=101\",\"Add (0,3)=82 Failed, w=101\",\"Add (0,4)=97 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,62],[0,3,82],[0,4,97],[1,2,69],[1,4,77],[2,3,8],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,3)=8,(2,4)=28,(0,2)=62,(1,2)=69,(1,4)=77,(0,3)=82,(0,4)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=11\",\"Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=39\",\"Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=101\",\"Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=101\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=101\",\"Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=101\",\"Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,3],[0,2,62],[0,3,82],[0,4,97],[1,2,69],[1,4,77],[2,3,8],[2,4,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(2,3)=8,(2,4)=28,(0,2)=62,(1,2)=69,(1,4)=77,(0,3)=82,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=62 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=69 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=82 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=97 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,70],[0,2,50],[0,3,78],[0,4,66],[1,2,9],[1,3,53],[1,4,33],[2,3,9],[2,4,61],[3,4,9]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,50],[0,3,78],[0,4,66],[1,2,9],[1,3,53],[1,4,33],[2,3,9],[2,4,61],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,50],[0,3,78],[0,4,66],[1,2,9],[1,3,53],[1,4,33],[2,3,9],[2,4,61],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,50],[0,3,78],[0,4,66],[1,2,9],[1,3,53],[1,4,33],[2,3,9],[2,4,61],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9, w=9\",\"Add (2,3)=9, w=18\",\"Add (3,4)=9, w=27\",\"Add (0,2)=50, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,50],[0,3,78],[0,4,66],[1,2,9],[1,3,53],[1,4,33],[2,3,9],[2,4,61],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=9 Succeeded, w=9\",\"Add (2,3)=9 Succeeded, w=18\",\"Add (3,4)=9 Succeeded, w=27\",\"Add (1,4)=33 Failed, w=27\",\"Add (0,2)=50 Succeeded, w=77\",\"Add (1,3)=53 Failed, w=77\",\"Add (2,4)=61 Failed, w=77\",\"Add (0,4)=66 Failed, w=77\",\"Add (0,1)=70 Failed, w=77\",\"Add (0,3)=78 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,50],[0,3,78],[0,4,66],[1,2,9],[1,3,53],[1,4,33],[2,3,9],[2,4,61],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(2,3)=9,(3,4)=9,(1,4)=33,(0,2)=50,(1,3)=53,(2,4)=61,(0,4)=66,(0,1)=70,(0,3)=78]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Find(2)=1, Find(3)=3, Add (2,3)=9 Succeeded, w=18\",\"Find(3)=1, Find(4)=4, Add (3,4)=9 Succeeded, w=27\",\"Find(1)=1, Find(4)=1, Add (1,4)=33 Failed, w=27\",\"Find(0)=0, Find(2)=1, Add (0,2)=50 Succeeded, w=77\",\"Find(1)=1, Find(3)=1, Add (1,3)=53 Failed, w=77\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=77\",\"Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=77\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=77\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,2,50],[0,3,78],[0,4,66],[1,2,9],[1,3,53],[1,4,33],[2,3,9],[2,4,61],[3,4,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=9,(2,3)=9,(3,4)=9,(1,4)=33,(0,2)=50,(1,3)=53,(2,4)=61,(0,4)=66,(0,1)=70,(0,3)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=9 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=33 Failed, w=27\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=50 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=53 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,20],[0,3,5],[0,5,71],[1,3,91],[1,4,31],[1,5,57],[2,4,46],[2,5,15],[3,5,5],[4,5,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,20],[0,3,5],[0,5,71],[1,3,91],[1,4,31],[1,5,57],[2,4,46],[2,5,15],[3,5,5],[4,5,68]]}",
"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\":[[0,2,20],[0,3,5],[0,5,71],[1,3,91],[1,4,31],[1,5,57],[2,4,46],[2,5,15],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (1,4)\",\"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\":[[0,2,20],[0,3,5],[0,5,71],[1,3,91],[1,4,31],[1,5,57],[2,4,46],[2,5,15],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (3,5)=5, w=10\",\"Add (2,5)=15, w=25\",\"Add (1,4)=31, w=56\",\"Add (2,4)=46, 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\":[[0,2,20],[0,3,5],[0,5,71],[1,3,91],[1,4,31],[1,5,57],[2,4,46],[2,5,15],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (3,5)=5 Succeeded, w=10\",\"Add (2,5)=15 Succeeded, w=25\",\"Add (0,2)=20 Failed, w=25\",\"Add (1,4)=31 Succeeded, w=56\",\"Add (2,4)=46 Succeeded, w=102\",\"Add (1,5)=57 Failed, w=102\",\"Add (4,5)=68 Failed, w=102\",\"Add (0,5)=71 Failed, w=102\",\"Add (1,3)=91 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\":[[0,2,20],[0,3,5],[0,5,71],[1,3,91],[1,4,31],[1,5,57],[2,4,46],[2,5,15],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(3,5)=5,(2,5)=15,(0,2)=20,(1,4)=31,(2,4)=46,(1,5)=57,(4,5)=68,(0,5)=71,(1,3)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(3)=0, Find(5)=5, Add (3,5)=5 Succeeded, w=10\",\"Find(2)=2, Find(5)=0, Add (2,5)=15 Succeeded, w=25\",\"Find(0)=0, Find(2)=0, Add (0,2)=20 Failed, w=25\",\"Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=56\",\"Find(2)=0, Find(4)=1, Add (2,4)=46 Succeeded, w=102\",\"Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=102\",\"Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=102\",\"Find(0)=0, Find(5)=0, Add (0,5)=71 Failed, w=102\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 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\":[[0,2,20],[0,3,5],[0,5,71],[1,3,91],[1,4,31],[1,5,57],[2,4,46],[2,5,15],[3,5,5],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(3,5)=5,(2,5)=15,(0,2)=20,(1,4)=31,(2,4)=46,(1,5)=57,(4,5)=68,(0,5)=71,(1,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=20 Failed, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(2)=0, Find(4)=1, Add (2,4)=46 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=68 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=71 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,17],[0,4,2],[0,5,73],[1,3,53],[1,4,77],[1,5,76],[2,3,100],[2,4,57],[3,4,90],[4,5,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,2],[0,5,73],[1,3,53],[1,4,77],[1,5,76],[2,3,100],[2,4,57],[3,4,90],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,2],[0,5,73],[1,3,53],[1,4,77],[1,5,76],[2,3,100],[2,4,57],[3,4,90],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (4,5)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (2,4)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,2],[0,5,73],[1,3,53],[1,4,77],[1,5,76],[2,3,100],[2,4,57],[3,4,90],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (4,5)=6, w=8\",\"Add (0,1)=17, w=25\",\"Add (1,3)=53, w=78\",\"Add (2,4)=57, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,2],[0,5,73],[1,3,53],[1,4,77],[1,5,76],[2,3,100],[2,4,57],[3,4,90],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (4,5)=6 Succeeded, w=8\",\"Add (0,1)=17 Succeeded, w=25\",\"Add (1,3)=53 Succeeded, w=78\",\"Add (2,4)=57 Succeeded, w=135\",\"Add (0,5)=73 Failed, w=135\",\"Add (1,5)=76 Failed, w=135\",\"Add (1,4)=77 Failed, w=135\",\"Add (3,4)=90 Failed, w=135\",\"Add (2,3)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,2],[0,5,73],[1,3,53],[1,4,77],[1,5,76],[2,3,100],[2,4,57],[3,4,90],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(4,5)=6,(0,1)=17,(1,3)=53,(2,4)=57,(0,5)=73,(1,5)=76,(1,4)=77,(3,4)=90,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(4)=0, Find(5)=5, Add (4,5)=6 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=25\",\"Find(1)=0, Find(3)=3, Add (1,3)=53 Succeeded, w=78\",\"Find(2)=2, Find(4)=0, Add (2,4)=57 Succeeded, w=135\",\"Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=135\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=135\",\"Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=135\",\"Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=135\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,17],[0,4,2],[0,5,73],[1,3,53],[1,4,77],[1,5,76],[2,3,100],[2,4,57],[3,4,90],[4,5,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(4,5)=6,(0,1)=17,(1,3)=53,(2,4)=57,(0,5)=73,(1,5)=76,(1,4)=77,(3,4)=90,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=3, Add (1,3)=53 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=57 Succeeded, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=73 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=77 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=90 Failed, w=135\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,38],[0,2,62],[0,3,41],[0,4,40],[1,2,78],[1,3,90],[2,3,18],[3,4,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,62],[0,3,41],[0,4,40],[1,2,78],[1,3,90],[2,3,18],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,62],[0,3,41],[0,4,40],[1,2,78],[1,3,90],[2,3,18],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,62],[0,3,41],[0,4,40],[1,2,78],[1,3,90],[2,3,18],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (3,4)=26, w=44\",\"Add (0,1)=38, w=82\",\"Add (0,4)=40, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,62],[0,3,41],[0,4,40],[1,2,78],[1,3,90],[2,3,18],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (3,4)=26 Succeeded, w=44\",\"Add (0,1)=38 Succeeded, w=82\",\"Add (0,4)=40 Succeeded, w=122\",\"Add (0,3)=41 Failed, w=122\",\"Add (0,2)=62 Failed, w=122\",\"Add (1,2)=78 Failed, w=122\",\"Add (1,3)=90 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,62],[0,3,41],[0,4,40],[1,2,78],[1,3,90],[2,3,18],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(3,4)=26,(0,1)=38,(0,4)=40,(0,3)=41,(0,2)=62,(1,2)=78,(1,3)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(3)=2, Find(4)=4, Add (3,4)=26 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=82\",\"Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=122\",\"Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=122\",\"Find(0)=0, Find(2)=0, Add (0,2)=62 Failed, w=122\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=122\",\"Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,62],[0,3,41],[0,4,40],[1,2,78],[1,3,90],[2,3,18],[3,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(3,4)=26,(0,1)=38,(0,4)=40,(0,3)=41,(0,2)=62,(1,2)=78,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=26 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=40 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(3)=0, Add (0,3)=41 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=62 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(1)=0, Find(3)=0, Add (1,3)=90 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,75],[0,3,56],[0,4,91],[1,2,89],[1,4,22],[2,3,29],[2,4,97],[3,4,96]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,3,56],[0,4,91],[1,2,89],[1,4,22],[2,3,29],[2,4,97],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,3,56],[0,4,91],[1,2,89],[1,4,22],[2,3,29],[2,4,97],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,3,56],[0,4,91],[1,2,89],[1,4,22],[2,3,29],[2,4,97],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=22, w=22\",\"Add (2,3)=29, w=51\",\"Add (0,3)=56, w=107\",\"Add (0,1)=75, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,75],[0,3,56],[0,4,91],[1,2,89],[1,4,22],[2,3,29],[2,4,97],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=22 Succeeded, w=22\",\"Add (2,3)=29 Succeeded, w=51\",\"Add (0,3)=56 Succeeded, w=107\",\"Add (0,1)=75 Succeeded, w=182\",\"Add (1,2)=89 Failed, w=182\",\"Add (0,4)=91 Failed, w=182\",\"Add (3,4)=96 Failed, w=182\",\"Add (2,4)=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],\"edges\":[[0,1,75],[0,3,56],[0,4,91],[1,2,89],[1,4,22],[2,3,29],[2,4,97],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=22,(2,3)=29,(0,3)=56,(0,1)=75,(1,2)=89,(0,4)=91,(3,4)=96,(2,4)=97]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=22\",\"Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=51\",\"Find(0)=0, Find(3)=2, Add (0,3)=56 Succeeded, w=107\",\"Find(0)=2, Find(1)=1, Add (0,1)=75 Succeeded, w=182\",\"Find(1)=2, Find(2)=2, Add (1,2)=89 Failed, w=182\",\"Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=182\",\"Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=182\",\"Find(2)=2, Find(4)=2, Add (2,4)=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],\"edges\":[[0,1,75],[0,3,56],[0,4,91],[1,2,89],[1,4,22],[2,3,29],[2,4,97],[3,4,96]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=22,(2,3)=29,(0,3)=56,(0,1)=75,(1,2)=89,(0,4)=91,(3,4)=96,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(3)=3, Add (2,3)=29 Succeeded, w=51\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(3)=2, Add (0,3)=56 Succeeded, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(0)=2, Find(1)=1, Add (0,1)=75 Succeeded, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(2)=2, Add (1,2)=89 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=96 Failed, w=182\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=97 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,92],[0,2,17],[0,3,85],[0,4,25],[0,5,56],[1,2,96],[1,3,72],[1,4,57],[1,5,7],[1,6,50],[2,3,5],[2,4,78],[2,5,87],[2,6,44],[3,4,33],[3,5,23],[3,6,8],[4,5,97],[4,6,100],[5,6,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,17],[0,3,85],[0,4,25],[0,5,56],[1,2,96],[1,3,72],[1,4,57],[1,5,7],[1,6,50],[2,3,5],[2,4,78],[2,5,87],[2,6,44],[3,4,33],[3,5,23],[3,6,8],[4,5,97],[4,6,100],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,17],[0,3,85],[0,4,25],[0,5,56],[1,2,96],[1,3,72],[1,4,57],[1,5,7],[1,6,50],[2,3,5],[2,4,78],[2,5,87],[2,6,44],[3,4,33],[3,5,23],[3,6,8],[4,5,97],[4,6,100],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,5)\",\"Add (3,6)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (0,4)\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,17],[0,3,85],[0,4,25],[0,5,56],[1,2,96],[1,3,72],[1,4,57],[1,5,7],[1,6,50],[2,3,5],[2,4,78],[2,5,87],[2,6,44],[3,4,33],[3,5,23],[3,6,8],[4,5,97],[4,6,100],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (1,5)=7, w=12\",\"Add (3,6)=8, w=20\",\"Add (0,2)=17, w=37\",\"Add (3,5)=23, w=60\",\"Add (0,4)=25, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,17],[0,3,85],[0,4,25],[0,5,56],[1,2,96],[1,3,72],[1,4,57],[1,5,7],[1,6,50],[2,3,5],[2,4,78],[2,5,87],[2,6,44],[3,4,33],[3,5,23],[3,6,8],[4,5,97],[4,6,100],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (1,5)=7 Succeeded, w=12\",\"Add (3,6)=8 Succeeded, w=20\",\"Add (0,2)=17 Succeeded, w=37\",\"Add (3,5)=23 Succeeded, w=60\",\"Add (0,4)=25 Succeeded, w=85\",\"Add (5,6)=31 Failed, w=85\",\"Add (3,4)=33 Failed, w=85\",\"Add (2,6)=44 Failed, w=85\",\"Add (1,6)=50 Failed, w=85\",\"Add (0,5)=56 Failed, w=85\",\"Add (1,4)=57 Failed, w=85\",\"Add (1,3)=72 Failed, w=85\",\"Add (2,4)=78 Failed, w=85\",\"Add (0,3)=85 Failed, w=85\",\"Add (2,5)=87 Failed, w=85\",\"Add (0,1)=92 Failed, w=85\",\"Add (1,2)=96 Failed, w=85\",\"Add (4,5)=97 Failed, w=85\",\"Add (4,6)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,17],[0,3,85],[0,4,25],[0,5,56],[1,2,96],[1,3,72],[1,4,57],[1,5,7],[1,6,50],[2,3,5],[2,4,78],[2,5,87],[2,6,44],[3,4,33],[3,5,23],[3,6,8],[4,5,97],[4,6,100],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,5)=7,(3,6)=8,(0,2)=17,(3,5)=23,(0,4)=25,(5,6)=31,(3,4)=33,(2,6)=44,(1,6)=50,(0,5)=56,(1,4)=57,(1,3)=72,(2,4)=78,(0,3)=85,(2,5)=87,(0,1)=92,(1,2)=96,(4,5)=97,(4,6)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=12\",\"Find(3)=2, Find(6)=6, Add (3,6)=8 Succeeded, w=20\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=37\",\"Find(3)=2, Find(5)=1, Add (3,5)=23 Succeeded, w=60\",\"Find(0)=2, Find(4)=4, Add (0,4)=25 Succeeded, w=85\",\"Find(5)=2, Find(6)=2, Add (5,6)=31 Failed, w=85\",\"Find(3)=2, Find(4)=2, Add (3,4)=33 Failed, w=85\",\"Find(2)=2, Find(6)=2, Add (2,6)=44 Failed, w=85\",\"Find(1)=2, Find(6)=2, Add (1,6)=50 Failed, w=85\",\"Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=85\",\"Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=85\",\"Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=85\",\"Find(2)=2, Find(4)=2, Add (2,4)=78 Failed, w=85\",\"Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=85\",\"Find(2)=2, Find(5)=2, Add (2,5)=87 Failed, w=85\",\"Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=85\",\"Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=85\",\"Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=85\",\"Find(4)=2, Find(6)=2, Add (4,6)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,2,17],[0,3,85],[0,4,25],[0,5,56],[1,2,96],[1,3,72],[1,4,57],[1,5,7],[1,6,50],[2,3,5],[2,4,78],[2,5,87],[2,6,44],[3,4,33],[3,5,23],[3,6,8],[4,5,97],[4,6,100],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(1,5)=7,(3,6)=8,(0,2)=17,(3,5)=23,(0,4)=25,(5,6)=31,(3,4)=33,(2,6)=44,(1,6)=50,(0,5)=56,(1,4)=57,(1,3)=72,(2,4)=78,(0,3)=85,(2,5)=87,(0,1)=92,(1,2)=96,(4,5)=97,(4,6)=100]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=8 Succeeded, w=20\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 1, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=37\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 1, 6: 2}, Find(3)=2, Find(5)=1, Add (3,5)=23 Succeeded, w=60\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(0)=2, Find(4)=4, Add (0,4)=25 Succeeded, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=31 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=33 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=44 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=50 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=72 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=78 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=87 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=92 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=96 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=85\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=100 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,78],[0,2,69],[0,3,93],[0,6,87],[1,2,70],[1,4,14],[2,5,54],[3,4,85],[4,5,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,69],[0,3,93],[0,6,87],[1,2,70],[1,4,14],[2,5,54],[3,4,85],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":377}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,69],[0,3,93],[0,6,87],[1,2,70],[1,4,14],[2,5,54],[3,4,85],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,5)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,6)\"],\"Answer\":377}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,69],[0,3,93],[0,6,87],[1,2,70],[1,4,14],[2,5,54],[3,4,85],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14, w=14\",\"Add (2,5)=54, w=68\",\"Add (4,5)=68, w=136\",\"Add (0,2)=69, w=205\",\"Add (3,4)=85, w=290\",\"Add (0,6)=87, w=377\"],\"Answer\":377}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,69],[0,3,93],[0,6,87],[1,2,70],[1,4,14],[2,5,54],[3,4,85],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14 Succeeded, w=14\",\"Add (2,5)=54 Succeeded, w=68\",\"Add (4,5)=68 Succeeded, w=136\",\"Add (0,2)=69 Succeeded, w=205\",\"Add (1,2)=70 Failed, w=205\",\"Add (0,1)=78 Failed, w=205\",\"Add (3,4)=85 Succeeded, w=290\",\"Add (0,6)=87 Succeeded, w=377\",\"Add (0,3)=93 Failed, w=377\"],\"Answer\":377}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,69],[0,3,93],[0,6,87],[1,2,70],[1,4,14],[2,5,54],[3,4,85],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(2,5)=54,(4,5)=68,(0,2)=69,(1,2)=70,(0,1)=78,(3,4)=85,(0,6)=87,(0,3)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=14\",\"Find(2)=2, Find(5)=5, Add (2,5)=54 Succeeded, w=68\",\"Find(4)=1, Find(5)=2, Add (4,5)=68 Succeeded, w=136\",\"Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=205\",\"Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=205\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=205\",\"Find(3)=3, Find(4)=1, Add (3,4)=85 Succeeded, w=290\",\"Find(0)=1, Find(6)=6, Add (0,6)=87 Succeeded, w=377\",\"Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=377\"],\"Answer\":377}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,78],[0,2,69],[0,3,93],[0,6,87],[1,2,70],[1,4,14],[2,5,54],[3,4,85],[4,5,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(2,5)=54,(4,5)=68,(0,2)=69,(1,2)=70,(0,1)=78,(3,4)=85,(0,6)=87,(0,3)=93]\",\"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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=54 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 6}, Find(4)=1, Find(5)=2, Add (4,5)=68 Succeeded, w=136\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 6}, Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 6}, Find(1)=1, Find(2)=1, Add (1,2)=70 Failed, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 2, 6: 6}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=205\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 6}, Find(3)=3, Find(4)=1, Add (3,4)=85 Succeeded, w=290\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(0)=1, Find(6)=6, Add (0,6)=87 Succeeded, w=377\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=93 Failed, w=377\"],\"Answer\":377}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,69],[0,3,76],[1,2,63],[1,3,72],[1,4,11],[2,3,59],[2,4,96],[3,4,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,3,76],[1,2,63],[1,3,72],[1,4,11],[2,3,59],[2,4,96],[3,4,24]]}",
"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\":[[0,2,69],[0,3,76],[1,2,63],[1,3,72],[1,4,11],[2,3,59],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (2,3)\",\"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\":[[0,2,69],[0,3,76],[1,2,63],[1,3,72],[1,4,11],[2,3,59],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11, w=11\",\"Add (3,4)=24, w=35\",\"Add (2,3)=59, w=94\",\"Add (0,2)=69, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,69],[0,3,76],[1,2,63],[1,3,72],[1,4,11],[2,3,59],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=11 Succeeded, w=11\",\"Add (3,4)=24 Succeeded, w=35\",\"Add (2,3)=59 Succeeded, w=94\",\"Add (1,2)=63 Failed, w=94\",\"Add (0,2)=69 Succeeded, w=163\",\"Add (1,3)=72 Failed, w=163\",\"Add (0,3)=76 Failed, w=163\",\"Add (2,4)=96 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\":[[0,2,69],[0,3,76],[1,2,63],[1,3,72],[1,4,11],[2,3,59],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(3,4)=24,(2,3)=59,(1,2)=63,(0,2)=69,(1,3)=72,(0,3)=76,(2,4)=96]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=1, Add (3,4)=24 Succeeded, w=35\",\"Find(2)=2, Find(3)=1, Add (2,3)=59 Succeeded, w=94\",\"Find(1)=1, Find(2)=1, Add (1,2)=63 Failed, w=94\",\"Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=163\",\"Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=163\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=163\",\"Find(2)=1, Find(4)=1, Add (2,4)=96 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\":[[0,2,69],[0,3,76],[1,2,63],[1,3,72],[1,4,11],[2,3,59],[2,4,96],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=11,(3,4)=24,(2,3)=59,(1,2)=63,(0,2)=69,(1,3)=72,(0,3)=76,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=24 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=59 Succeeded, w=94\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=63 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=69 Succeeded, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=72 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=163\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=96 Failed, w=163\"],\"Answer\":163}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,19],[0,2,3],[0,5,40],[1,2,66],[1,3,56],[1,5,32],[1,6,48],[2,4,73],[2,6,43],[4,5,3],[4,6,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,3],[0,5,40],[1,2,66],[1,3,56],[1,5,32],[1,6,48],[2,4,73],[2,6,43],[4,5,3],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,3],[0,5,40],[1,2,66],[1,3,56],[1,5,32],[1,6,48],[2,4,73],[2,6,43],[4,5,3],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,5)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (1,3)\"],\"Answer\":125}",
"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],[0,2,3],[0,5,40],[1,2,66],[1,3,56],[1,5,32],[1,6,48],[2,4,73],[2,6,43],[4,5,3],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (4,5)=3, w=6\",\"Add (4,6)=12, w=18\",\"Add (0,1)=19, w=37\",\"Add (1,5)=32, w=69\",\"Add (1,3)=56, w=125\"],\"Answer\":125}",
"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],[0,2,3],[0,5,40],[1,2,66],[1,3,56],[1,5,32],[1,6,48],[2,4,73],[2,6,43],[4,5,3],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (4,5)=3 Succeeded, w=6\",\"Add (4,6)=12 Succeeded, w=18\",\"Add (0,1)=19 Succeeded, w=37\",\"Add (1,5)=32 Succeeded, w=69\",\"Add (0,5)=40 Failed, w=69\",\"Add (2,6)=43 Failed, w=69\",\"Add (1,6)=48 Failed, w=69\",\"Add (1,3)=56 Succeeded, w=125\",\"Add (1,2)=66 Failed, w=125\",\"Add (2,4)=73 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,3],[0,5,40],[1,2,66],[1,3,56],[1,5,32],[1,6,48],[2,4,73],[2,6,43],[4,5,3],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(4,5)=3,(4,6)=12,(0,1)=19,(1,5)=32,(0,5)=40,(2,6)=43,(1,6)=48,(1,3)=56,(1,2)=66,(2,4)=73]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=6\",\"Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=37\",\"Find(1)=0, Find(5)=4, Add (1,5)=32 Succeeded, w=69\",\"Find(0)=0, Find(5)=0, Add (0,5)=40 Failed, w=69\",\"Find(2)=0, Find(6)=0, Add (2,6)=43 Failed, w=69\",\"Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=69\",\"Find(1)=0, Find(3)=3, Add (1,3)=56 Succeeded, w=125\",\"Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=125\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,3],[0,5,40],[1,2,66],[1,3,56],[1,5,32],[1,6,48],[2,4,73],[2,6,43],[4,5,3],[4,6,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(4,5)=3,(4,6)=12,(0,1)=19,(1,5)=32,(0,5)=40,(2,6)=43,(1,6)=48,(1,3)=56,(1,2)=66,(2,4)=73]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=12 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 4, 6: 4}, Find(1)=0, Find(5)=4, Add (1,5)=32 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(5)=0, Add (0,5)=40 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=43 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=48 Failed, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=3, Add (1,3)=56 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=66 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,47],[0,3,47],[1,2,31],[1,3,19],[2,3,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,47],[1,2,31],[1,3,19],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,47],[1,2,31],[1,3,19],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,47],[1,2,31],[1,3,19],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19, w=19\",\"Add (1,2)=31, w=50\",\"Add (0,1)=47, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,47],[1,2,31],[1,3,19],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=19 Succeeded, w=19\",\"Add (1,2)=31 Succeeded, w=50\",\"Add (0,1)=47 Succeeded, w=97\",\"Add (0,3)=47 Failed, w=97\",\"Add (2,3)=76 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,47],[1,2,31],[1,3,19],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(1,2)=31,(0,1)=47,(0,3)=47,(2,3)=76]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=50\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=97\",\"Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=97\",\"Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,47],[1,2,31],[1,3,19],[2,3,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=19,(1,2)=31,(0,1)=47,(0,3)=47,(2,3)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=31 Succeeded, w=50\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=47 Failed, w=97\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=76 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,11],[0,2,62],[0,3,97],[0,4,28],[0,5,78],[0,7,41],[1,2,45],[1,4,38],[1,5,31],[1,6,22],[1,7,48],[2,3,4],[2,4,12],[2,5,59],[2,6,33],[2,7,11],[3,6,39],[4,5,53],[4,7,43],[5,6,14],[5,7,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,62],[0,3,97],[0,4,28],[0,5,78],[0,7,41],[1,2,45],[1,4,38],[1,5,31],[1,6,22],[1,7,48],[2,3,4],[2,4,12],[2,5,59],[2,6,33],[2,7,11],[3,6,39],[4,5,53],[4,7,43],[5,6,14],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,62],[0,3,97],[0,4,28],[0,5,78],[0,7,41],[1,2,45],[1,4,38],[1,5,31],[1,6,22],[1,7,48],[2,3,4],[2,4,12],[2,5,59],[2,6,33],[2,7,11],[3,6,39],[4,5,53],[4,7,43],[5,6,14],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (2,7)\",\"Add (2,4)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (0,4)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,62],[0,3,97],[0,4,28],[0,5,78],[0,7,41],[1,2,45],[1,4,38],[1,5,31],[1,6,22],[1,7,48],[2,3,4],[2,4,12],[2,5,59],[2,6,33],[2,7,11],[3,6,39],[4,5,53],[4,7,43],[5,6,14],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4, w=4\",\"Add (0,1)=11, w=15\",\"Add (2,7)=11, w=26\",\"Add (2,4)=12, w=38\",\"Add (5,6)=14, w=52\",\"Add (1,6)=22, w=74\",\"Add (0,4)=28, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,62],[0,3,97],[0,4,28],[0,5,78],[0,7,41],[1,2,45],[1,4,38],[1,5,31],[1,6,22],[1,7,48],[2,3,4],[2,4,12],[2,5,59],[2,6,33],[2,7,11],[3,6,39],[4,5,53],[4,7,43],[5,6,14],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=4 Succeeded, w=4\",\"Add (0,1)=11 Succeeded, w=15\",\"Add (2,7)=11 Succeeded, w=26\",\"Add (2,4)=12 Succeeded, w=38\",\"Add (5,6)=14 Succeeded, w=52\",\"Add (1,6)=22 Succeeded, w=74\",\"Add (0,4)=28 Succeeded, w=102\",\"Add (1,5)=31 Failed, w=102\",\"Add (2,6)=33 Failed, w=102\",\"Add (1,4)=38 Failed, w=102\",\"Add (3,6)=39 Failed, w=102\",\"Add (0,7)=41 Failed, w=102\",\"Add (4,7)=43 Failed, w=102\",\"Add (1,2)=45 Failed, w=102\",\"Add (1,7)=48 Failed, w=102\",\"Add (4,5)=53 Failed, w=102\",\"Add (2,5)=59 Failed, w=102\",\"Add (0,2)=62 Failed, w=102\",\"Add (5,7)=74 Failed, w=102\",\"Add (0,5)=78 Failed, w=102\",\"Add (0,3)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,62],[0,3,97],[0,4,28],[0,5,78],[0,7,41],[1,2,45],[1,4,38],[1,5,31],[1,6,22],[1,7,48],[2,3,4],[2,4,12],[2,5,59],[2,6,33],[2,7,11],[3,6,39],[4,5,53],[4,7,43],[5,6,14],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,1)=11,(2,7)=11,(2,4)=12,(5,6)=14,(1,6)=22,(0,4)=28,(1,5)=31,(2,6)=33,(1,4)=38,(3,6)=39,(0,7)=41,(4,7)=43,(1,2)=45,(1,7)=48,(4,5)=53,(2,5)=59,(0,2)=62,(5,7)=74,(0,5)=78,(0,3)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=15\",\"Find(2)=2, Find(7)=7, Add (2,7)=11 Succeeded, w=26\",\"Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=38\",\"Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=52\",\"Find(1)=0, Find(6)=5, Add (1,6)=22 Succeeded, w=74\",\"Find(0)=0, Find(4)=2, Add (0,4)=28 Succeeded, w=102\",\"Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=102\",\"Find(2)=0, Find(6)=0, Add (2,6)=33 Failed, w=102\",\"Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=102\",\"Find(3)=0, Find(6)=0, Add (3,6)=39 Failed, w=102\",\"Find(0)=0, Find(7)=0, Add (0,7)=41 Failed, w=102\",\"Find(4)=0, Find(7)=0, Add (4,7)=43 Failed, w=102\",\"Find(1)=0, Find(2)=0, Add (1,2)=45 Failed, w=102\",\"Find(1)=0, Find(7)=0, Add (1,7)=48 Failed, w=102\",\"Find(4)=0, Find(5)=0, Add (4,5)=53 Failed, w=102\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=102\",\"Find(0)=0, Find(2)=0, Add (0,2)=62 Failed, w=102\",\"Find(5)=0, Find(7)=0, Add (5,7)=74 Failed, w=102\",\"Find(0)=0, Find(5)=0, Add (0,5)=78 Failed, w=102\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,2,62],[0,3,97],[0,4,28],[0,5,78],[0,7,41],[1,2,45],[1,4,38],[1,5,31],[1,6,22],[1,7,48],[2,3,4],[2,4,12],[2,5,59],[2,6,33],[2,7,11],[3,6,39],[4,5,53],[4,7,43],[5,6,14],[5,7,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=4,(0,1)=11,(2,7)=11,(2,4)=12,(5,6)=14,(1,6)=22,(0,4)=28,(1,5)=31,(2,6)=33,(1,4)=38,(3,6)=39,(0,7)=41,(4,7)=43,(1,2)=45,(1,7)=48,(4,5)=53,(2,5)=59,(0,2)=62,(5,7)=74,(0,5)=78,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=11 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(4)=4, Add (2,4)=12 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5, 7: 2}, Find(5)=5, Find(6)=6, Add (5,6)=14 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2, 5: 0, 6: 5, 7: 2}, Find(1)=0, Find(6)=5, Add (1,6)=22 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 5, 7: 2}, Find(0)=0, Find(4)=2, Add (0,4)=28 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 5, 7: 2}, Find(1)=0, Find(5)=0, Add (1,5)=31 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(6)=0, Add (2,6)=33 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 0, 7: 2}, Find(1)=0, Find(4)=0, Add (1,4)=38 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(6)=0, Add (3,6)=39 Failed, w=102\",\"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)=41 Failed, w=102\",\"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)=43 Failed, w=102\",\"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)=45 Failed, w=102\",\"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)=48 Failed, w=102\",\"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)=53 Failed, w=102\",\"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)=59 Failed, w=102\",\"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=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=74 Failed, w=102\",\"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=102\",\"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)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,34],[0,3,3],[0,4,3],[0,5,72],[1,2,74],[1,3,19],[1,4,96],[1,5,55],[2,3,44],[2,4,0],[2,5,99],[3,4,61],[3,5,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,34],[0,3,3],[0,4,3],[0,5,72],[1,2,74],[1,3,19],[1,4,96],[1,5,55],[2,3,44],[2,4,0],[2,5,99],[3,4,61],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,34],[0,3,3],[0,4,3],[0,5,72],[1,2,74],[1,3,19],[1,4,96],[1,5,55],[2,3,44],[2,4,0],[2,5,99],[3,4,61],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (1,5)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,34],[0,3,3],[0,4,3],[0,5,72],[1,2,74],[1,3,19],[1,4,96],[1,5,55],[2,3,44],[2,4,0],[2,5,99],[3,4,61],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (0,3)=3, w=3\",\"Add (0,4)=3, w=6\",\"Add (1,3)=19, w=25\",\"Add (1,5)=55, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,34],[0,3,3],[0,4,3],[0,5,72],[1,2,74],[1,3,19],[1,4,96],[1,5,55],[2,3,44],[2,4,0],[2,5,99],[3,4,61],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,4)=3 Succeeded, w=6\",\"Add (1,3)=19 Succeeded, w=25\",\"Add (0,2)=34 Failed, w=25\",\"Add (2,3)=44 Failed, w=25\",\"Add (1,5)=55 Succeeded, w=80\",\"Add (3,5)=56 Failed, w=80\",\"Add (0,1)=61 Failed, w=80\",\"Add (3,4)=61 Failed, w=80\",\"Add (0,5)=72 Failed, w=80\",\"Add (1,2)=74 Failed, w=80\",\"Add (1,4)=96 Failed, w=80\",\"Add (2,5)=99 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,34],[0,3,3],[0,4,3],[0,5,72],[1,2,74],[1,3,19],[1,4,96],[1,5,55],[2,3,44],[2,4,0],[2,5,99],[3,4,61],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,3)=3,(0,4)=3,(1,3)=19,(0,2)=34,(2,3)=44,(1,5)=55,(3,5)=56,(0,1)=61,(3,4)=61,(0,5)=72,(1,2)=74,(1,4)=96,(2,5)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=2, Add (0,4)=3 Succeeded, w=6\",\"Find(1)=1, Find(3)=0, Add (1,3)=19 Succeeded, w=25\",\"Find(0)=0, Find(2)=0, Add (0,2)=34 Failed, w=25\",\"Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=25\",\"Find(1)=0, Find(5)=5, Add (1,5)=55 Succeeded, w=80\",\"Find(3)=0, Find(5)=0, Add (3,5)=56 Failed, w=80\",\"Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=80\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=80\",\"Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=80\",\"Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=80\",\"Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=80\",\"Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,34],[0,3,3],[0,4,3],[0,5,72],[1,2,74],[1,3,19],[1,4,96],[1,5,55],[2,3,44],[2,4,0],[2,5,99],[3,4,61],[3,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,3)=3,(0,4)=3,(1,3)=19,(0,2)=34,(2,3)=44,(1,5)=55,(3,5)=56,(0,1)=61,(3,4)=61,(0,5)=72,(1,2)=74,(1,4)=96,(2,5)=99]\",\"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: 0, 4: 2, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(4)=2, Add (0,4)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(1)=1, Find(3)=0, Add (1,3)=19 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(0)=0, Find(2)=0, Add (0,2)=34 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5}, Find(2)=0, Find(3)=0, Add (2,3)=44 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=55 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=56 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=61 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=72 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=96 Failed, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=99 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,95],[0,2,29],[0,3,11],[1,2,59],[1,3,13]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,29],[0,3,11],[1,2,59],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,29],[0,3,11],[1,2,59],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,29],[0,3,11],[1,2,59],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (1,3)=13, w=24\",\"Add (0,2)=29, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,29],[0,3,11],[1,2,59],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (1,3)=13 Succeeded, w=24\",\"Add (0,2)=29 Succeeded, w=53\",\"Add (1,2)=59 Failed, w=53\",\"Add (0,1)=95 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,29],[0,3,11],[1,2,59],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,3)=13,(0,2)=29,(1,2)=59,(0,1)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=24\",\"Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=53\",\"Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=53\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,29],[0,3,11],[1,2,59],[1,3,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(1,3)=13,(0,2)=29,(1,2)=59,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=29 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=59 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,12],[0,3,66],[1,2,61],[2,3,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,3,66],[1,2,61],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,3,66],[1,2,61],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,3,66],[1,2,61],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12, w=12\",\"Add (2,3)=22, w=34\",\"Add (1,2)=61, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,3,66],[1,2,61],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=12 Succeeded, w=12\",\"Add (2,3)=22 Succeeded, w=34\",\"Add (1,2)=61 Succeeded, w=95\",\"Add (0,3)=66 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,3,66],[1,2,61],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(2,3)=22,(1,2)=61,(0,3)=66]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=34\",\"Find(1)=0, Find(2)=2, Add (1,2)=61 Succeeded, w=95\",\"Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,12],[0,3,66],[1,2,61],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=12,(2,3)=22,(1,2)=61,(0,3)=66]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(1)=0, Find(2)=2, Add (1,2)=61 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=66 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,24],[0,4,22],[0,5,83],[1,2,75],[1,3,65],[1,5,48],[2,3,27],[2,4,47],[3,5,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,24],[0,4,22],[0,5,83],[1,2,75],[1,3,65],[1,5,48],[2,3,27],[2,4,47],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,24],[0,4,22],[0,5,83],[1,2,75],[1,3,65],[1,5,48],[2,3,27],[2,4,47],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,2)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (1,5)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,24],[0,4,22],[0,5,83],[1,2,75],[1,3,65],[1,5,48],[2,3,27],[2,4,47],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=22, w=22\",\"Add (0,2)=24, w=46\",\"Add (3,5)=25, w=71\",\"Add (2,3)=27, w=98\",\"Add (1,5)=48, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,24],[0,4,22],[0,5,83],[1,2,75],[1,3,65],[1,5,48],[2,3,27],[2,4,47],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=22 Succeeded, w=22\",\"Add (0,2)=24 Succeeded, w=46\",\"Add (3,5)=25 Succeeded, w=71\",\"Add (2,3)=27 Succeeded, w=98\",\"Add (2,4)=47 Failed, w=98\",\"Add (1,5)=48 Succeeded, w=146\",\"Add (1,3)=65 Failed, w=146\",\"Add (1,2)=75 Failed, w=146\",\"Add (0,5)=83 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,24],[0,4,22],[0,5,83],[1,2,75],[1,3,65],[1,5,48],[2,3,27],[2,4,47],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=22,(0,2)=24,(3,5)=25,(2,3)=27,(2,4)=47,(1,5)=48,(1,3)=65,(1,2)=75,(0,5)=83]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=22\",\"Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=46\",\"Find(3)=3, Find(5)=5, Add (3,5)=25 Succeeded, w=71\",\"Find(2)=0, Find(3)=3, Add (2,3)=27 Succeeded, w=98\",\"Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=98\",\"Find(1)=1, Find(5)=0, Add (1,5)=48 Succeeded, w=146\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=146\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=146\",\"Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,24],[0,4,22],[0,5,83],[1,2,75],[1,3,65],[1,5,48],[2,3,27],[2,4,47],[3,5,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=22,(0,2)=24,(3,5)=25,(2,3)=27,(2,4)=47,(1,5)=48,(1,3)=65,(1,2)=75,(0,5)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=24 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=25 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(3)=3, Add (2,3)=27 Succeeded, w=98\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(4)=0, Add (2,4)=47 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=48 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=83 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,38],[0,2,32],[0,3,21],[0,4,34],[1,3,68],[1,4,84],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,32],[0,3,21],[0,4,34],[1,3,68],[1,4,84],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,32],[0,3,21],[0,4,34],[1,3,68],[1,4,84],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,32],[0,3,21],[0,4,34],[1,3,68],[1,4,84],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=21, w=21\",\"Add (2,3)=29, w=50\",\"Add (0,4)=34, w=84\",\"Add (0,1)=38, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,32],[0,3,21],[0,4,34],[1,3,68],[1,4,84],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=21 Succeeded, w=21\",\"Add (2,3)=29 Succeeded, w=50\",\"Add (0,2)=32 Failed, w=50\",\"Add (0,4)=34 Succeeded, w=84\",\"Add (0,1)=38 Succeeded, w=122\",\"Add (1,3)=68 Failed, w=122\",\"Add (1,4)=84 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,32],[0,3,21],[0,4,34],[1,3,68],[1,4,84],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=21,(2,3)=29,(0,2)=32,(0,4)=34,(0,1)=38,(1,3)=68,(1,4)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=21\",\"Find(2)=2, Find(3)=0, Add (2,3)=29 Succeeded, w=50\",\"Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=50\",\"Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=84\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=122\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=122\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,38],[0,2,32],[0,3,21],[0,4,34],[1,3,68],[1,4,84],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=21,(2,3)=29,(0,2)=32,(0,4)=34,(0,1)=38,(1,3)=68,(1,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=2, Find(3)=0, Add (2,3)=29 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,49],[0,2,61],[0,3,85],[1,2,75],[1,3,37],[2,3,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,61],[0,3,85],[1,2,75],[1,3,37],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,61],[0,3,85],[1,2,75],[1,3,37],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,61],[0,3,85],[1,2,75],[1,3,37],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=37, w=37\",\"Add (0,1)=49, w=86\",\"Add (0,2)=61, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,61],[0,3,85],[1,2,75],[1,3,37],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=37 Succeeded, w=37\",\"Add (0,1)=49 Succeeded, w=86\",\"Add (0,2)=61 Succeeded, w=147\",\"Add (1,2)=75 Failed, w=147\",\"Add (0,3)=85 Failed, w=147\",\"Add (2,3)=99 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,61],[0,3,85],[1,2,75],[1,3,37],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=37,(0,1)=49,(0,2)=61,(1,2)=75,(0,3)=85,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=37\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=86\",\"Find(0)=1, Find(2)=2, Add (0,2)=61 Succeeded, w=147\",\"Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=147\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=147\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,49],[0,2,61],[0,3,85],[1,2,75],[1,3,37],[2,3,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=37,(0,1)=49,(0,2)=61,(1,2)=75,(0,3)=85,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=61 Succeeded, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=147\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,6],[0,3,19],[0,4,54],[0,5,95],[0,6,71],[1,3,65],[1,4,84],[1,5,21],[1,6,33],[2,3,23],[2,4,34],[2,5,75],[2,6,30],[3,4,7],[3,5,95],[3,6,23],[4,5,92],[4,6,38],[5,6,30]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,6],[0,3,19],[0,4,54],[0,5,95],[0,6,71],[1,3,65],[1,4,84],[1,5,21],[1,6,33],[2,3,23],[2,4,34],[2,5,75],[2,6,30],[3,4,7],[3,5,95],[3,6,23],[4,5,92],[4,6,38],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,6],[0,3,19],[0,4,54],[0,5,95],[0,6,71],[1,3,65],[1,4,84],[1,5,21],[1,6,33],[2,3,23],[2,4,34],[2,5,75],[2,6,30],[3,4,7],[3,5,95],[3,6,23],[4,5,92],[4,6,38],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (3,6)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,6],[0,3,19],[0,4,54],[0,5,95],[0,6,71],[1,3,65],[1,4,84],[1,5,21],[1,6,33],[2,3,23],[2,4,34],[2,5,75],[2,6,30],[3,4,7],[3,5,95],[3,6,23],[4,5,92],[4,6,38],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (0,2)=6, w=11\",\"Add (3,4)=7, w=18\",\"Add (0,3)=19, w=37\",\"Add (1,5)=21, w=58\",\"Add (3,6)=23, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,6],[0,3,19],[0,4,54],[0,5,95],[0,6,71],[1,3,65],[1,4,84],[1,5,21],[1,6,33],[2,3,23],[2,4,34],[2,5,75],[2,6,30],[3,4,7],[3,5,95],[3,6,23],[4,5,92],[4,6,38],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (0,2)=6 Succeeded, w=11\",\"Add (3,4)=7 Succeeded, w=18\",\"Add (0,3)=19 Succeeded, w=37\",\"Add (1,5)=21 Succeeded, w=58\",\"Add (2,3)=23 Failed, w=58\",\"Add (3,6)=23 Succeeded, w=81\",\"Add (2,6)=30 Failed, w=81\",\"Add (5,6)=30 Failed, w=81\",\"Add (1,6)=33 Failed, w=81\",\"Add (2,4)=34 Failed, w=81\",\"Add (4,6)=38 Failed, w=81\",\"Add (0,4)=54 Failed, w=81\",\"Add (1,3)=65 Failed, w=81\",\"Add (0,6)=71 Failed, w=81\",\"Add (2,5)=75 Failed, w=81\",\"Add (1,4)=84 Failed, w=81\",\"Add (4,5)=92 Failed, w=81\",\"Add (0,5)=95 Failed, w=81\",\"Add (3,5)=95 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,6],[0,3,19],[0,4,54],[0,5,95],[0,6,71],[1,3,65],[1,4,84],[1,5,21],[1,6,33],[2,3,23],[2,4,34],[2,5,75],[2,6,30],[3,4,7],[3,5,95],[3,6,23],[4,5,92],[4,6,38],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,2)=6,(3,4)=7,(0,3)=19,(1,5)=21,(2,3)=23,(3,6)=23,(2,6)=30,(5,6)=30,(1,6)=33,(2,4)=34,(4,6)=38,(0,4)=54,(1,3)=65,(0,6)=71,(2,5)=75,(1,4)=84,(4,5)=92,(0,5)=95,(3,5)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=37\",\"Find(1)=0, Find(5)=5, Add (1,5)=21 Succeeded, w=58\",\"Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=58\",\"Find(3)=0, Find(6)=6, Add (3,6)=23 Succeeded, w=81\",\"Find(2)=0, Find(6)=0, Add (2,6)=30 Failed, w=81\",\"Find(5)=0, Find(6)=0, Add (5,6)=30 Failed, w=81\",\"Find(1)=0, Find(6)=0, Add (1,6)=33 Failed, w=81\",\"Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=81\",\"Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=81\",\"Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=81\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=81\",\"Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=81\",\"Find(2)=0, Find(5)=0, Add (2,5)=75 Failed, w=81\",\"Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=81\",\"Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=81\",\"Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=81\",\"Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,6],[0,3,19],[0,4,54],[0,5,95],[0,6,71],[1,3,65],[1,4,84],[1,5,21],[1,6,33],[2,3,23],[2,4,34],[2,5,75],[2,6,30],[3,4,7],[3,5,95],[3,6,23],[4,5,92],[4,6,38],[5,6,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,2)=6,(3,4)=7,(0,3)=19,(1,5)=21,(2,3)=23,(3,6)=23,(2,6)=30,(5,6)=30,(1,6)=33,(2,4)=34,(4,6)=38,(0,4)=54,(1,3)=65,(0,6)=71,(2,5)=75,(1,4)=84,(4,5)=92,(0,5)=95,(3,5)=95]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=7 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=19 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(1)=0, Find(5)=5, Add (1,5)=21 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=23 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=23 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=30 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=30 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=33 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=34 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=54 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=71 Failed, w=81\",\"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=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=84 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=92 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=95 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,27],[0,3,61],[0,4,94],[1,3,66],[1,5,61],[2,3,93],[2,5,52],[4,5,61],[5,6,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,61],[0,4,94],[1,3,66],[1,5,61],[2,3,93],[2,5,52],[4,5,61],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":331}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,61],[0,4,94],[1,3,66],[1,5,61],[2,3,93],[2,5,52],[4,5,61],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (4,5)\",\"Add (5,6)\"],\"Answer\":331}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,61],[0,4,94],[1,3,66],[1,5,61],[2,3,93],[2,5,52],[4,5,61],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27, w=27\",\"Add (2,5)=52, w=79\",\"Add (0,3)=61, w=140\",\"Add (1,5)=61, w=201\",\"Add (4,5)=61, w=262\",\"Add (5,6)=69, w=331\"],\"Answer\":331}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,61],[0,4,94],[1,3,66],[1,5,61],[2,3,93],[2,5,52],[4,5,61],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=27 Succeeded, w=27\",\"Add (2,5)=52 Succeeded, w=79\",\"Add (0,3)=61 Succeeded, w=140\",\"Add (1,5)=61 Succeeded, w=201\",\"Add (4,5)=61 Succeeded, w=262\",\"Add (1,3)=66 Failed, w=262\",\"Add (5,6)=69 Succeeded, w=331\",\"Add (2,3)=93 Failed, w=331\",\"Add (0,4)=94 Failed, w=331\"],\"Answer\":331}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,61],[0,4,94],[1,3,66],[1,5,61],[2,3,93],[2,5,52],[4,5,61],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(2,5)=52,(0,3)=61,(1,5)=61,(4,5)=61,(1,3)=66,(5,6)=69,(2,3)=93,(0,4)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Find(2)=0, Find(5)=5, Add (2,5)=52 Succeeded, w=79\",\"Find(0)=0, Find(3)=3, Add (0,3)=61 Succeeded, w=140\",\"Find(1)=1, Find(5)=0, Add (1,5)=61 Succeeded, w=201\",\"Find(4)=4, Find(5)=0, Add (4,5)=61 Succeeded, w=262\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=262\",\"Find(5)=0, Find(6)=6, Add (5,6)=69 Succeeded, w=331\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=331\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=331\"],\"Answer\":331}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,27],[0,3,61],[0,4,94],[1,3,66],[1,5,61],[2,3,93],[2,5,52],[4,5,61],[5,6,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=27,(2,5)=52,(0,3)=61,(1,5)=61,(4,5)=61,(1,3)=66,(5,6)=69,(2,3)=93,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(5)=5, Add (2,5)=52 Succeeded, w=79\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=61 Succeeded, w=140\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=61 Succeeded, w=201\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=61 Succeeded, w=262\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=262\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=69 Succeeded, w=331\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=331\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=331\"],\"Answer\":331}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,50],[1,4,87],[2,3,41],[2,4,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[1,4,87],[2,3,41],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[1,4,87],[2,3,41],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[1,4,87],[2,3,41],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=41, w=41\",\"Add (0,2)=50, w=91\",\"Add (1,4)=87, w=178\",\"Add (2,4)=100, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[1,4,87],[2,3,41],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=41 Succeeded, w=41\",\"Add (0,2)=50 Succeeded, w=91\",\"Add (1,4)=87 Succeeded, w=178\",\"Add (2,4)=100 Succeeded, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[1,4,87],[2,3,41],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=41,(0,2)=50,(1,4)=87,(2,4)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=41\",\"Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=91\",\"Find(1)=1, Find(4)=4, Add (1,4)=87 Succeeded, w=178\",\"Find(2)=2, Find(4)=1, Add (2,4)=100 Succeeded, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,50],[1,4,87],[2,3,41],[2,4,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=41,(0,2)=50,(1,4)=87,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=41\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=50 Succeeded, w=91\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=87 Succeeded, w=178\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=100 Succeeded, w=278\"],\"Answer\":278}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,43],[0,4,24],[0,5,39],[1,2,83],[1,3,96],[1,5,71],[2,3,83],[2,5,50],[3,4,98],[3,5,6],[4,5,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,4,24],[0,5,39],[1,2,83],[1,3,96],[1,5,71],[2,3,83],[2,5,50],[3,4,98],[3,5,6],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,4,24],[0,5,39],[1,2,83],[1,3,96],[1,5,71],[2,3,83],[2,5,50],[3,4,98],[3,5,6],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (2,5)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,4,24],[0,5,39],[1,2,83],[1,3,96],[1,5,71],[2,3,83],[2,5,50],[3,4,98],[3,5,6],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6, w=6\",\"Add (0,4)=24, w=30\",\"Add (0,5)=39, w=69\",\"Add (0,1)=43, w=112\",\"Add (2,5)=50, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,4,24],[0,5,39],[1,2,83],[1,3,96],[1,5,71],[2,3,83],[2,5,50],[3,4,98],[3,5,6],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=6 Succeeded, w=6\",\"Add (0,4)=24 Succeeded, w=30\",\"Add (0,5)=39 Succeeded, w=69\",\"Add (0,1)=43 Succeeded, w=112\",\"Add (2,5)=50 Succeeded, w=162\",\"Add (1,5)=71 Failed, w=162\",\"Add (4,5)=82 Failed, w=162\",\"Add (1,2)=83 Failed, w=162\",\"Add (2,3)=83 Failed, w=162\",\"Add (1,3)=96 Failed, w=162\",\"Add (3,4)=98 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,4,24],[0,5,39],[1,2,83],[1,3,96],[1,5,71],[2,3,83],[2,5,50],[3,4,98],[3,5,6],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(0,4)=24,(0,5)=39,(0,1)=43,(2,5)=50,(1,5)=71,(4,5)=82,(1,2)=83,(2,3)=83,(1,3)=96,(3,4)=98]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=30\",\"Find(0)=0, Find(5)=3, Add (0,5)=39 Succeeded, w=69\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=112\",\"Find(2)=2, Find(5)=0, Add (2,5)=50 Succeeded, w=162\",\"Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=162\",\"Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=162\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=162\",\"Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=162\",\"Find(1)=0, Find(3)=0, Add (1,3)=96 Failed, w=162\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,4,24],[0,5,39],[1,2,83],[1,3,96],[1,5,71],[2,3,83],[2,5,50],[3,4,98],[3,5,6],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=6,(0,4)=24,(0,5)=39,(0,1)=43,(2,5)=50,(1,5)=71,(4,5)=82,(1,2)=83,(2,3)=83,(1,3)=96,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=39 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=50 Succeeded, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=71 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=83 Failed, w=162\",\"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=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,5],[0,3,61],[0,5,41],[1,2,77],[1,3,51],[1,4,85],[1,5,20],[2,3,1],[2,4,57],[2,5,27],[3,4,25],[4,5,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,5],[0,3,61],[0,5,41],[1,2,77],[1,3,51],[1,4,85],[1,5,20],[2,3,1],[2,4,57],[2,5,27],[3,4,25],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,5],[0,3,61],[0,5,41],[1,2,77],[1,3,51],[1,4,85],[1,5,20],[2,3,1],[2,4,57],[2,5,27],[3,4,25],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (3,4)\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,5],[0,3,61],[0,5,41],[1,2,77],[1,3,51],[1,4,85],[1,5,20],[2,3,1],[2,4,57],[2,5,27],[3,4,25],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,2)=5, w=6\",\"Add (0,1)=13, w=19\",\"Add (1,5)=20, w=39\",\"Add (3,4)=25, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,5],[0,3,61],[0,5,41],[1,2,77],[1,3,51],[1,4,85],[1,5,20],[2,3,1],[2,4,57],[2,5,27],[3,4,25],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,2)=5 Succeeded, w=6\",\"Add (0,1)=13 Succeeded, w=19\",\"Add (1,5)=20 Succeeded, w=39\",\"Add (3,4)=25 Succeeded, w=64\",\"Add (2,5)=27 Failed, w=64\",\"Add (0,5)=41 Failed, w=64\",\"Add (1,3)=51 Failed, w=64\",\"Add (4,5)=52 Failed, w=64\",\"Add (2,4)=57 Failed, w=64\",\"Add (0,3)=61 Failed, w=64\",\"Add (1,2)=77 Failed, w=64\",\"Add (1,4)=85 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,5],[0,3,61],[0,5,41],[1,2,77],[1,3,51],[1,4,85],[1,5,20],[2,3,1],[2,4,57],[2,5,27],[3,4,25],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=5,(0,1)=13,(1,5)=20,(3,4)=25,(2,5)=27,(0,5)=41,(1,3)=51,(4,5)=52,(2,4)=57,(0,3)=61,(1,2)=77,(1,4)=85]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=6\",\"Find(0)=2, Find(1)=1, Add (0,1)=13 Succeeded, w=19\",\"Find(1)=2, Find(5)=5, Add (1,5)=20 Succeeded, w=39\",\"Find(3)=2, Find(4)=4, Add (3,4)=25 Succeeded, w=64\",\"Find(2)=2, Find(5)=2, Add (2,5)=27 Failed, w=64\",\"Find(0)=2, Find(5)=2, Add (0,5)=41 Failed, w=64\",\"Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=64\",\"Find(4)=2, Find(5)=2, Add (4,5)=52 Failed, w=64\",\"Find(2)=2, Find(4)=2, Add (2,4)=57 Failed, w=64\",\"Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=64\",\"Find(1)=2, Find(2)=2, Add (1,2)=77 Failed, w=64\",\"Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,5],[0,3,61],[0,5,41],[1,2,77],[1,3,51],[1,4,85],[1,5,20],[2,3,1],[2,4,57],[2,5,27],[3,4,25],[4,5,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=5,(0,1)=13,(1,5)=20,(3,4)=25,(2,5)=27,(0,5)=41,(1,3)=51,(4,5)=52,(2,4)=57,(0,3)=61,(1,2)=77,(1,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=6\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5}, Find(0)=2, Find(1)=1, Add (0,1)=13 Succeeded, w=19\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=20 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=4, Add (3,4)=25 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=27 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=41 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=51 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=52 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=57 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=61 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=77 Failed, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=64\"],\"Answer\":64}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,75],[0,2,21],[0,3,2],[0,4,29],[0,5,26],[0,6,41],[1,3,27],[1,5,44],[1,6,50],[2,3,29],[2,5,92],[2,6,55],[3,4,14],[3,5,97],[4,5,97],[5,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,21],[0,3,2],[0,4,29],[0,5,26],[0,6,41],[1,3,27],[1,5,44],[1,6,50],[2,3,29],[2,5,92],[2,6,55],[3,4,14],[3,5,97],[4,5,97],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,21],[0,3,2],[0,4,29],[0,5,26],[0,6,41],[1,3,27],[1,5,44],[1,6,50],[2,3,29],[2,5,92],[2,6,55],[3,4,14],[3,5,97],[4,5,97],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (1,3)\",\"Add (0,6)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,21],[0,3,2],[0,4,29],[0,5,26],[0,6,41],[1,3,27],[1,5,44],[1,6,50],[2,3,29],[2,5,92],[2,6,55],[3,4,14],[3,5,97],[4,5,97],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (3,4)=14, w=16\",\"Add (0,2)=21, w=37\",\"Add (0,5)=26, w=63\",\"Add (1,3)=27, w=90\",\"Add (0,6)=41, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,21],[0,3,2],[0,4,29],[0,5,26],[0,6,41],[1,3,27],[1,5,44],[1,6,50],[2,3,29],[2,5,92],[2,6,55],[3,4,14],[3,5,97],[4,5,97],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (3,4)=14 Succeeded, w=16\",\"Add (0,2)=21 Succeeded, w=37\",\"Add (0,5)=26 Succeeded, w=63\",\"Add (1,3)=27 Succeeded, w=90\",\"Add (0,4)=29 Failed, w=90\",\"Add (2,3)=29 Failed, w=90\",\"Add (0,6)=41 Succeeded, w=131\",\"Add (1,5)=44 Failed, w=131\",\"Add (1,6)=50 Failed, w=131\",\"Add (2,6)=55 Failed, w=131\",\"Add (0,1)=75 Failed, w=131\",\"Add (5,6)=83 Failed, w=131\",\"Add (2,5)=92 Failed, w=131\",\"Add (3,5)=97 Failed, w=131\",\"Add (4,5)=97 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,21],[0,3,2],[0,4,29],[0,5,26],[0,6,41],[1,3,27],[1,5,44],[1,6,50],[2,3,29],[2,5,92],[2,6,55],[3,4,14],[3,5,97],[4,5,97],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(3,4)=14,(0,2)=21,(0,5)=26,(1,3)=27,(0,4)=29,(2,3)=29,(0,6)=41,(1,5)=44,(1,6)=50,(2,6)=55,(0,1)=75,(5,6)=83,(2,5)=92,(3,5)=97,(4,5)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(3)=0, Find(4)=4, Add (3,4)=14 Succeeded, w=16\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=37\",\"Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=63\",\"Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=90\",\"Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=90\",\"Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=90\",\"Find(0)=0, Find(6)=6, Add (0,6)=41 Succeeded, w=131\",\"Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=131\",\"Find(1)=0, Find(6)=0, Add (1,6)=50 Failed, w=131\",\"Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=131\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=131\",\"Find(5)=0, Find(6)=0, Add (5,6)=83 Failed, w=131\",\"Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=131\",\"Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=131\",\"Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,21],[0,3,2],[0,4,29],[0,5,26],[0,6,41],[1,3,27],[1,5,44],[1,6,50],[2,3,29],[2,5,92],[2,6,55],[3,4,14],[3,5,97],[4,5,97],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(3,4)=14,(0,2)=21,(0,5)=26,(1,3)=27,(0,4)=29,(2,3)=29,(0,6)=41,(1,5)=44,(1,6)=50,(2,6)=55,(0,1)=75,(5,6)=83,(2,5)=92,(3,5)=97,(4,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6}, Find(3)=0, Find(4)=4, Add (3,4)=14 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=27 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=29 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=41 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=50 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=55 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=83 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=92 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=97 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,22],[0,3,45],[0,5,38],[1,2,55],[1,4,71],[2,3,81],[2,5,59],[3,4,21],[3,5,74],[4,5,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,3,45],[0,5,38],[1,2,55],[1,4,71],[2,3,81],[2,5,59],[3,4,21],[3,5,74],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,3,45],[0,5,38],[1,2,55],[1,4,71],[2,3,81],[2,5,59],[3,4,21],[3,5,74],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,3,45],[0,5,38],[1,2,55],[1,4,71],[2,3,81],[2,5,59],[3,4,21],[3,5,74],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21, w=21\",\"Add (0,2)=22, w=43\",\"Add (0,5)=38, w=81\",\"Add (0,3)=45, w=126\",\"Add (1,2)=55, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,3,45],[0,5,38],[1,2,55],[1,4,71],[2,3,81],[2,5,59],[3,4,21],[3,5,74],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=21 Succeeded, w=21\",\"Add (0,2)=22 Succeeded, w=43\",\"Add (0,5)=38 Succeeded, w=81\",\"Add (0,3)=45 Succeeded, w=126\",\"Add (1,2)=55 Succeeded, w=181\",\"Add (2,5)=59 Failed, w=181\",\"Add (4,5)=69 Failed, w=181\",\"Add (1,4)=71 Failed, w=181\",\"Add (3,5)=74 Failed, w=181\",\"Add (2,3)=81 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,3,45],[0,5,38],[1,2,55],[1,4,71],[2,3,81],[2,5,59],[3,4,21],[3,5,74],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(0,2)=22,(0,5)=38,(0,3)=45,(1,2)=55,(2,5)=59,(4,5)=69,(1,4)=71,(3,5)=74,(2,3)=81]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=43\",\"Find(0)=0, Find(5)=5, Add (0,5)=38 Succeeded, w=81\",\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=126\",\"Find(1)=1, Find(2)=0, Add (1,2)=55 Succeeded, w=181\",\"Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=181\",\"Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=181\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=181\",\"Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=181\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,22],[0,3,45],[0,5,38],[1,2,55],[1,4,71],[2,3,81],[2,5,59],[3,4,21],[3,5,74],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=21,(0,2)=22,(0,5)=38,(0,3)=45,(1,2)=55,(2,5)=59,(4,5)=69,(1,4)=71,(3,5)=74,(2,3)=81]\",\"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: 0, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=38 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(1)=1, Find(2)=0, Add (1,2)=55 Succeeded, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=59 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=74 Failed, w=181\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,51],[0,2,36],[0,3,1],[0,4,41],[0,5,15],[1,3,79],[1,4,87],[1,5,68],[2,4,5],[2,5,29],[3,4,31],[3,5,84],[4,5,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,36],[0,3,1],[0,4,41],[0,5,15],[1,3,79],[1,4,87],[1,5,68],[2,4,5],[2,5,29],[3,4,31],[3,5,84],[4,5,54]]}",
"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],\"edges\":[[0,1,51],[0,2,36],[0,3,1],[0,4,41],[0,5,15],[1,3,79],[1,4,87],[1,5,68],[2,4,5],[2,5,29],[3,4,31],[3,5,84],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (0,1)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,36],[0,3,1],[0,4,41],[0,5,15],[1,3,79],[1,4,87],[1,5,68],[2,4,5],[2,5,29],[3,4,31],[3,5,84],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (2,4)=5, w=6\",\"Add (0,5)=15, w=21\",\"Add (2,5)=29, w=50\",\"Add (0,1)=51, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,51],[0,2,36],[0,3,1],[0,4,41],[0,5,15],[1,3,79],[1,4,87],[1,5,68],[2,4,5],[2,5,29],[3,4,31],[3,5,84],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (2,4)=5 Succeeded, w=6\",\"Add (0,5)=15 Succeeded, w=21\",\"Add (2,5)=29 Succeeded, w=50\",\"Add (3,4)=31 Failed, w=50\",\"Add (0,2)=36 Failed, w=50\",\"Add (0,4)=41 Failed, w=50\",\"Add (0,1)=51 Succeeded, w=101\",\"Add (4,5)=54 Failed, w=101\",\"Add (1,5)=68 Failed, w=101\",\"Add (1,3)=79 Failed, w=101\",\"Add (3,5)=84 Failed, w=101\",\"Add (1,4)=87 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],\"edges\":[[0,1,51],[0,2,36],[0,3,1],[0,4,41],[0,5,15],[1,3,79],[1,4,87],[1,5,68],[2,4,5],[2,5,29],[3,4,31],[3,5,84],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,4)=5,(0,5)=15,(2,5)=29,(3,4)=31,(0,2)=36,(0,4)=41,(0,1)=51,(4,5)=54,(1,5)=68,(1,3)=79,(3,5)=84,(1,4)=87]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=6\",\"Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=21\",\"Find(2)=2, Find(5)=0, Add (2,5)=29 Succeeded, w=50\",\"Find(3)=2, Find(4)=2, Add (3,4)=31 Failed, w=50\",\"Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=50\",\"Find(0)=2, Find(4)=2, Add (0,4)=41 Failed, w=50\",\"Find(0)=2, Find(1)=1, Add (0,1)=51 Succeeded, w=101\",\"Find(4)=2, Find(5)=2, Add (4,5)=54 Failed, w=101\",\"Find(1)=2, Find(5)=2, Add (1,5)=68 Failed, w=101\",\"Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=101\",\"Find(3)=2, Find(5)=2, Add (3,5)=84 Failed, w=101\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 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],\"edges\":[[0,1,51],[0,2,36],[0,3,1],[0,4,41],[0,5,15],[1,3,79],[1,4,87],[1,5,68],[2,4,5],[2,5,29],[3,4,31],[3,5,84],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(2,4)=5,(0,5)=15,(2,5)=29,(3,4)=31,(0,2)=36,(0,4)=41,(0,1)=51,(4,5)=54,(1,5)=68,(1,3)=79,(3,5)=84,(1,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=15 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 0, 4: 2, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=29 Succeeded, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(3)=2, Find(4)=2, Add (3,4)=31 Failed, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=50\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(4)=2, Add (0,4)=41 Failed, w=50\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0}, Find(0)=2, Find(1)=1, Add (0,1)=51 Succeeded, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=54 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=68 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=84 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,5,53],[0,7,96],[1,4,0],[1,5,75],[1,6,79],[1,7,89],[2,3,54],[2,4,60],[2,5,66],[2,6,94],[2,7,87],[3,4,75],[3,5,45],[3,7,33],[5,7,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,53],[0,7,96],[1,4,0],[1,5,75],[1,6,79],[1,7,89],[2,3,54],[2,4,60],[2,5,66],[2,6,94],[2,7,87],[3,4,75],[3,5,45],[3,7,33],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,53],[0,7,96],[1,4,0],[1,5,75],[1,6,79],[1,7,89],[2,3,54],[2,4,60],[2,5,66],[2,6,94],[2,7,87],[3,4,75],[3,5,45],[3,7,33],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,7)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (1,6)\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,53],[0,7,96],[1,4,0],[1,5,75],[1,6,79],[1,7,89],[2,3,54],[2,4,60],[2,5,66],[2,6,94],[2,7,87],[3,4,75],[3,5,45],[3,7,33],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (3,7)=33, w=33\",\"Add (3,5)=45, w=78\",\"Add (0,5)=53, w=131\",\"Add (2,3)=54, w=185\",\"Add (2,4)=60, w=245\",\"Add (1,6)=79, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,53],[0,7,96],[1,4,0],[1,5,75],[1,6,79],[1,7,89],[2,3,54],[2,4,60],[2,5,66],[2,6,94],[2,7,87],[3,4,75],[3,5,45],[3,7,33],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (3,7)=33 Succeeded, w=33\",\"Add (3,5)=45 Succeeded, w=78\",\"Add (0,5)=53 Succeeded, w=131\",\"Add (2,3)=54 Succeeded, w=185\",\"Add (2,4)=60 Succeeded, w=245\",\"Add (2,5)=66 Failed, w=245\",\"Add (5,7)=73 Failed, w=245\",\"Add (1,5)=75 Failed, w=245\",\"Add (3,4)=75 Failed, w=245\",\"Add (1,6)=79 Succeeded, w=324\",\"Add (2,7)=87 Failed, w=324\",\"Add (1,7)=89 Failed, w=324\",\"Add (2,6)=94 Failed, w=324\",\"Add (0,7)=96 Failed, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,53],[0,7,96],[1,4,0],[1,5,75],[1,6,79],[1,7,89],[2,3,54],[2,4,60],[2,5,66],[2,6,94],[2,7,87],[3,4,75],[3,5,45],[3,7,33],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(3,7)=33,(3,5)=45,(0,5)=53,(2,3)=54,(2,4)=60,(2,5)=66,(5,7)=73,(1,5)=75,(3,4)=75,(1,6)=79,(2,7)=87,(1,7)=89,(2,6)=94,(0,7)=96]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(3)=3, Find(7)=7, Add (3,7)=33 Succeeded, w=33\",\"Find(3)=3, Find(5)=5, Add (3,5)=45 Succeeded, w=78\",\"Find(0)=0, Find(5)=3, Add (0,5)=53 Succeeded, w=131\",\"Find(2)=2, Find(3)=3, Add (2,3)=54 Succeeded, w=185\",\"Find(2)=3, Find(4)=1, Add (2,4)=60 Succeeded, w=245\",\"Find(2)=3, Find(5)=3, Add (2,5)=66 Failed, w=245\",\"Find(5)=3, Find(7)=3, Add (5,7)=73 Failed, w=245\",\"Find(1)=3, Find(5)=3, Add (1,5)=75 Failed, w=245\",\"Find(3)=3, Find(4)=3, Add (3,4)=75 Failed, w=245\",\"Find(1)=3, Find(6)=6, Add (1,6)=79 Succeeded, w=324\",\"Find(2)=3, Find(7)=3, Add (2,7)=87 Failed, w=324\",\"Find(1)=3, Find(7)=3, Add (1,7)=89 Failed, w=324\",\"Find(2)=3, Find(6)=3, Add (2,6)=94 Failed, w=324\",\"Find(0)=3, Find(7)=3, Add (0,7)=96 Failed, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,5,53],[0,7,96],[1,4,0],[1,5,75],[1,6,79],[1,7,89],[2,3,54],[2,4,60],[2,5,66],[2,6,94],[2,7,87],[3,4,75],[3,5,45],[3,7,33],[5,7,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(3,7)=33,(3,5)=45,(0,5)=53,(2,3)=54,(2,4)=60,(2,5)=66,(5,7)=73,(1,5)=75,(3,4)=75,(1,6)=79,(2,7)=87,(1,7)=89,(2,6)=94,(0,7)=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)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=33 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(5)=5, Add (3,5)=45 Succeeded, w=78\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(5)=3, Add (0,5)=53 Succeeded, w=131\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(2)=2, Find(3)=3, Add (2,3)=54 Succeeded, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(2)=3, Find(4)=1, Add (2,4)=60 Succeeded, w=245\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=66 Failed, w=245\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=73 Failed, w=245\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=75 Failed, w=245\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=75 Failed, w=245\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=6, Add (1,6)=79 Succeeded, w=324\",\"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)=87 Failed, w=324\",\"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)=89 Failed, w=324\",\"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)=94 Failed, w=324\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=96 Failed, w=324\"],\"Answer\":324}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,13],[1,2,17],[1,3,7],[1,4,36],[2,3,67],[2,4,98],[3,4,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[1,2,17],[1,3,7],[1,4,36],[2,3,67],[2,4,98],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[1,2,17],[1,3,7],[1,4,36],[2,3,67],[2,4,98],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[1,2,17],[1,3,7],[1,4,36],[2,3,67],[2,4,98],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (0,1)=13, w=20\",\"Add (1,2)=17, w=37\",\"Add (1,4)=36, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[1,2,17],[1,3,7],[1,4,36],[2,3,67],[2,4,98],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (0,1)=13 Succeeded, w=20\",\"Add (1,2)=17 Succeeded, w=37\",\"Add (1,4)=36 Succeeded, w=73\",\"Add (2,3)=67 Failed, w=73\",\"Add (3,4)=70 Failed, w=73\",\"Add (2,4)=98 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[1,2,17],[1,3,7],[1,4,36],[2,3,67],[2,4,98],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(0,1)=13,(1,2)=17,(1,4)=36,(2,3)=67,(3,4)=70,(2,4)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=20\",\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=37\",\"Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=73\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=73\",\"Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=73\",\"Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,13],[1,2,17],[1,3,7],[1,4,36],[2,3,67],[2,4,98],[3,4,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(0,1)=13,(1,2)=17,(1,4)=36,(2,3)=67,(3,4)=70,(2,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=20\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=70 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=73\"],\"Answer\":73}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,24],[0,2,31],[0,3,50],[0,4,17],[0,5,26],[1,2,36],[1,3,81],[1,4,30],[1,5,35],[2,3,84],[2,4,19],[2,5,67],[3,4,47],[3,5,98],[4,5,85]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,31],[0,3,50],[0,4,17],[0,5,26],[1,2,36],[1,3,81],[1,4,30],[1,5,35],[2,3,84],[2,4,19],[2,5,67],[3,4,47],[3,5,98],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,31],[0,3,50],[0,4,17],[0,5,26],[1,2,36],[1,3,81],[1,4,30],[1,5,35],[2,3,84],[2,4,19],[2,5,67],[3,4,47],[3,5,98],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (0,5)\",\"Add (3,4)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,31],[0,3,50],[0,4,17],[0,5,26],[1,2,36],[1,3,81],[1,4,30],[1,5,35],[2,3,84],[2,4,19],[2,5,67],[3,4,47],[3,5,98],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=17, w=17\",\"Add (2,4)=19, w=36\",\"Add (0,1)=24, w=60\",\"Add (0,5)=26, w=86\",\"Add (3,4)=47, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,31],[0,3,50],[0,4,17],[0,5,26],[1,2,36],[1,3,81],[1,4,30],[1,5,35],[2,3,84],[2,4,19],[2,5,67],[3,4,47],[3,5,98],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=17 Succeeded, w=17\",\"Add (2,4)=19 Succeeded, w=36\",\"Add (0,1)=24 Succeeded, w=60\",\"Add (0,5)=26 Succeeded, w=86\",\"Add (1,4)=30 Failed, w=86\",\"Add (0,2)=31 Failed, w=86\",\"Add (1,5)=35 Failed, w=86\",\"Add (1,2)=36 Failed, w=86\",\"Add (3,4)=47 Succeeded, w=133\",\"Add (0,3)=50 Failed, w=133\",\"Add (2,5)=67 Failed, w=133\",\"Add (1,3)=81 Failed, w=133\",\"Add (2,3)=84 Failed, w=133\",\"Add (4,5)=85 Failed, w=133\",\"Add (3,5)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,31],[0,3,50],[0,4,17],[0,5,26],[1,2,36],[1,3,81],[1,4,30],[1,5,35],[2,3,84],[2,4,19],[2,5,67],[3,4,47],[3,5,98],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=17,(2,4)=19,(0,1)=24,(0,5)=26,(1,4)=30,(0,2)=31,(1,5)=35,(1,2)=36,(3,4)=47,(0,3)=50,(2,5)=67,(1,3)=81,(2,3)=84,(4,5)=85,(3,5)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=17\",\"Find(2)=2, Find(4)=0, Add (2,4)=19 Succeeded, w=36\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=60\",\"Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=86\",\"Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=86\",\"Find(0)=0, Find(2)=0, Add (0,2)=31 Failed, w=86\",\"Find(1)=0, Find(5)=0, Add (1,5)=35 Failed, w=86\",\"Find(1)=0, Find(2)=0, Add (1,2)=36 Failed, w=86\",\"Find(3)=3, Find(4)=0, Add (3,4)=47 Succeeded, w=133\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=133\",\"Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=133\",\"Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=133\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=133\",\"Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=133\",\"Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,24],[0,2,31],[0,3,50],[0,4,17],[0,5,26],[1,2,36],[1,3,81],[1,4,30],[1,5,35],[2,3,84],[2,4,19],[2,5,67],[3,4,47],[3,5,98],[4,5,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=17,(2,4)=19,(0,1)=24,(0,5)=26,(1,4)=30,(0,2)=31,(1,5)=35,(1,2)=36,(3,4)=47,(0,3)=50,(2,5)=67,(1,3)=81,(2,3)=84,(4,5)=85,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=19 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=26 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=31 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=35 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=36 Failed, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=47 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=67 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=81 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=85 Failed, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=98 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,84],[0,3,70],[1,3,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,84],[0,3,70],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,84],[0,3,70],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,84],[0,3,70],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (0,3)=70, w=73\",\"Add (0,2)=84, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,84],[0,3,70],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (0,3)=70 Succeeded, w=73\",\"Add (0,2)=84 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,84],[0,3,70],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,3)=70,(0,2)=84]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=1, Add (0,3)=70 Succeeded, w=73\",\"Find(0)=1, Find(2)=2, Add (0,2)=84 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,84],[0,3,70],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,3)=70,(0,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=70 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=2, Add (0,2)=84 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,23],[0,2,74],[0,3,93],[0,4,58],[0,5,0],[1,2,94],[1,3,83],[1,4,85],[1,5,56],[2,3,85],[2,4,91],[2,5,1],[3,4,81],[3,5,14],[4,5,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,74],[0,3,93],[0,4,58],[0,5,0],[1,2,94],[1,3,83],[1,4,85],[1,5,56],[2,3,85],[2,4,91],[2,5,1],[3,4,81],[3,5,14],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,74],[0,3,93],[0,4,58],[0,5,0],[1,2,94],[1,3,83],[1,4,85],[1,5,56],[2,3,85],[2,4,91],[2,5,1],[3,4,81],[3,5,14],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,4)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,74],[0,3,93],[0,4,58],[0,5,0],[1,2,94],[1,3,83],[1,4,85],[1,5,56],[2,3,85],[2,4,91],[2,5,1],[3,4,81],[3,5,14],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (2,5)=1, w=1\",\"Add (3,5)=14, w=15\",\"Add (0,1)=23, w=38\",\"Add (0,4)=58, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,74],[0,3,93],[0,4,58],[0,5,0],[1,2,94],[1,3,83],[1,4,85],[1,5,56],[2,3,85],[2,4,91],[2,5,1],[3,4,81],[3,5,14],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (2,5)=1 Succeeded, w=1\",\"Add (3,5)=14 Succeeded, w=15\",\"Add (0,1)=23 Succeeded, w=38\",\"Add (1,5)=56 Failed, w=38\",\"Add (0,4)=58 Succeeded, w=96\",\"Add (0,2)=74 Failed, w=96\",\"Add (4,5)=74 Failed, w=96\",\"Add (3,4)=81 Failed, w=96\",\"Add (1,3)=83 Failed, w=96\",\"Add (1,4)=85 Failed, w=96\",\"Add (2,3)=85 Failed, w=96\",\"Add (2,4)=91 Failed, w=96\",\"Add (0,3)=93 Failed, w=96\",\"Add (1,2)=94 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,74],[0,3,93],[0,4,58],[0,5,0],[1,2,94],[1,3,83],[1,4,85],[1,5,56],[2,3,85],[2,4,91],[2,5,1],[3,4,81],[3,5,14],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,5)=1,(3,5)=14,(0,1)=23,(1,5)=56,(0,4)=58,(0,2)=74,(4,5)=74,(3,4)=81,(1,3)=83,(1,4)=85,(2,3)=85,(2,4)=91,(0,3)=93,(1,2)=94]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(2)=2, Find(5)=0, Add (2,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=0, Add (3,5)=14 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=38\",\"Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=38\",\"Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=96\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=96\",\"Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=96\",\"Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=96\",\"Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,23],[0,2,74],[0,3,93],[0,4,58],[0,5,0],[1,2,94],[1,3,83],[1,4,85],[1,5,56],[2,3,85],[2,4,91],[2,5,1],[3,4,81],[3,5,14],[4,5,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(2,5)=1,(3,5)=14,(0,1)=23,(1,5)=56,(0,4)=58,(0,2)=74,(4,5)=74,(3,4)=81,(1,3)=83,(1,4)=85,(2,3)=85,(2,4)=91,(0,3)=93,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=14 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=58 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=74 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=81 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=85 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=93 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,20],[0,6,72],[1,2,3],[1,3,37],[1,4,88],[2,6,88],[3,5,36],[4,6,19],[4,7,11],[5,6,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,6,72],[1,2,3],[1,3,37],[1,4,88],[2,6,88],[3,5,36],[4,6,19],[4,7,11],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,6,72],[1,2,3],[1,3,37],[1,4,88],[2,6,88],[3,5,36],[4,6,19],[4,7,11],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,7)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (0,6)\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,6,72],[1,2,3],[1,3,37],[1,4,88],[2,6,88],[3,5,36],[4,6,19],[4,7,11],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (4,7)=11, w=14\",\"Add (4,6)=19, w=33\",\"Add (0,1)=20, w=53\",\"Add (3,5)=36, w=89\",\"Add (1,3)=37, w=126\",\"Add (0,6)=72, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,6,72],[1,2,3],[1,3,37],[1,4,88],[2,6,88],[3,5,36],[4,6,19],[4,7,11],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (4,7)=11 Succeeded, w=14\",\"Add (4,6)=19 Succeeded, w=33\",\"Add (0,1)=20 Succeeded, w=53\",\"Add (3,5)=36 Succeeded, w=89\",\"Add (1,3)=37 Succeeded, w=126\",\"Add (0,6)=72 Succeeded, w=198\",\"Add (1,4)=88 Failed, w=198\",\"Add (2,6)=88 Failed, w=198\",\"Add (5,6)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,6,72],[1,2,3],[1,3,37],[1,4,88],[2,6,88],[3,5,36],[4,6,19],[4,7,11],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(4,7)=11,(4,6)=19,(0,1)=20,(3,5)=36,(1,3)=37,(0,6)=72,(1,4)=88,(2,6)=88,(5,6)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(4)=4, Find(7)=7, Add (4,7)=11 Succeeded, w=14\",\"Find(4)=4, Find(6)=6, Add (4,6)=19 Succeeded, w=33\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=53\",\"Find(3)=3, Find(5)=5, Add (3,5)=36 Succeeded, w=89\",\"Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=126\",\"Find(0)=1, Find(6)=4, Add (0,6)=72 Succeeded, w=198\",\"Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=198\",\"Find(2)=1, Find(6)=1, Add (2,6)=88 Failed, w=198\",\"Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,20],[0,6,72],[1,2,3],[1,3,37],[1,4,88],[2,6,88],[3,5,36],[4,6,19],[4,7,11],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(4,7)=11,(4,6)=19,(0,1)=20,(3,5)=36,(1,3)=37,(0,6)=72,(1,4)=88,(2,6)=88,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(4)=4, Find(6)=6, Add (4,6)=19 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 4, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3, 6: 4, 7: 4}, Find(3)=3, Find(5)=5, Add (3,5)=36 Succeeded, w=89\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 3, 6: 4, 7: 4}, Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=126\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 4, 7: 4}, Find(0)=1, Find(6)=4, Add (0,6)=72 Succeeded, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 4, 7: 4}, Find(1)=1, Find(4)=1, Add (1,4)=88 Failed, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1, 7: 4}, Find(2)=1, Find(6)=1, Add (2,6)=88 Failed, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 4}, Find(5)=1, Find(6)=1, Add (5,6)=99 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,22],[1,4,67],[2,4,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,22],[1,4,67],[2,4,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,22],[1,4,67],[2,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,22],[1,4,67],[2,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=22, w=22\",\"Add (2,4)=29, w=51\",\"Add (1,4)=67, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,22],[1,4,67],[2,4,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=22 Succeeded, w=22\",\"Add (2,4)=29 Succeeded, w=51\",\"Add (1,4)=67 Succeeded, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,22],[1,4,67],[2,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=22,(2,4)=29,(1,4)=67]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=22\",\"Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=51\",\"Find(1)=1, Find(4)=2, Add (1,4)=67 Succeeded, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,22],[1,4,67],[2,4,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=22,(2,4)=29,(1,4)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=51\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=67 Succeeded, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,5],[0,2,53],[0,3,1],[0,4,73],[0,6,2],[1,2,41],[1,4,82],[1,5,20],[1,6,98],[1,7,95],[2,3,85],[2,4,5],[2,5,36],[2,6,57],[2,7,7],[3,4,42],[3,5,19],[3,6,24],[4,5,6],[4,6,43],[4,7,61],[5,6,82],[5,7,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,53],[0,3,1],[0,4,73],[0,6,2],[1,2,41],[1,4,82],[1,5,20],[1,6,98],[1,7,95],[2,3,85],[2,4,5],[2,5,36],[2,6,57],[2,7,7],[3,4,42],[3,5,19],[3,6,24],[4,5,6],[4,6,43],[4,7,61],[5,6,82],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,53],[0,3,1],[0,4,73],[0,6,2],[1,2,41],[1,4,82],[1,5,20],[1,6,98],[1,7,95],[2,3,85],[2,4,5],[2,5,36],[2,6,57],[2,7,7],[3,4,42],[3,5,19],[3,6,24],[4,5,6],[4,6,43],[4,7,61],[5,6,82],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,6)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (4,5)\",\"Add (2,7)\",\"Add (3,5)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,53],[0,3,1],[0,4,73],[0,6,2],[1,2,41],[1,4,82],[1,5,20],[1,6,98],[1,7,95],[2,3,85],[2,4,5],[2,5,36],[2,6,57],[2,7,7],[3,4,42],[3,5,19],[3,6,24],[4,5,6],[4,6,43],[4,7,61],[5,6,82],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (0,6)=2, w=3\",\"Add (0,1)=5, w=8\",\"Add (2,4)=5, w=13\",\"Add (4,5)=6, w=19\",\"Add (2,7)=7, w=26\",\"Add (3,5)=19, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,53],[0,3,1],[0,4,73],[0,6,2],[1,2,41],[1,4,82],[1,5,20],[1,6,98],[1,7,95],[2,3,85],[2,4,5],[2,5,36],[2,6,57],[2,7,7],[3,4,42],[3,5,19],[3,6,24],[4,5,6],[4,6,43],[4,7,61],[5,6,82],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (0,6)=2 Succeeded, w=3\",\"Add (0,1)=5 Succeeded, w=8\",\"Add (2,4)=5 Succeeded, w=13\",\"Add (4,5)=6 Succeeded, w=19\",\"Add (2,7)=7 Succeeded, w=26\",\"Add (3,5)=19 Succeeded, w=45\",\"Add (1,5)=20 Failed, w=45\",\"Add (3,6)=24 Failed, w=45\",\"Add (2,5)=36 Failed, w=45\",\"Add (1,2)=41 Failed, w=45\",\"Add (3,4)=42 Failed, w=45\",\"Add (4,6)=43 Failed, w=45\",\"Add (0,2)=53 Failed, w=45\",\"Add (2,6)=57 Failed, w=45\",\"Add (4,7)=61 Failed, w=45\",\"Add (0,4)=73 Failed, w=45\",\"Add (5,7)=77 Failed, w=45\",\"Add (1,4)=82 Failed, w=45\",\"Add (5,6)=82 Failed, w=45\",\"Add (2,3)=85 Failed, w=45\",\"Add (1,7)=95 Failed, w=45\",\"Add (1,6)=98 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,53],[0,3,1],[0,4,73],[0,6,2],[1,2,41],[1,4,82],[1,5,20],[1,6,98],[1,7,95],[2,3,85],[2,4,5],[2,5,36],[2,6,57],[2,7,7],[3,4,42],[3,5,19],[3,6,24],[4,5,6],[4,6,43],[4,7,61],[5,6,82],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,6)=2,(0,1)=5,(2,4)=5,(4,5)=6,(2,7)=7,(3,5)=19,(1,5)=20,(3,6)=24,(2,5)=36,(1,2)=41,(3,4)=42,(4,6)=43,(0,2)=53,(2,6)=57,(4,7)=61,(0,4)=73,(5,7)=77,(1,4)=82,(5,6)=82,(2,3)=85,(1,7)=95,(1,6)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=8\",\"Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=13\",\"Find(4)=2, Find(5)=5, Add (4,5)=6 Succeeded, w=19\",\"Find(2)=2, Find(7)=7, Add (2,7)=7 Succeeded, w=26\",\"Find(3)=0, Find(5)=2, Add (3,5)=19 Succeeded, w=45\",\"Find(1)=0, Find(5)=0, Add (1,5)=20 Failed, w=45\",\"Find(3)=0, Find(6)=0, Add (3,6)=24 Failed, w=45\",\"Find(2)=0, Find(5)=0, Add (2,5)=36 Failed, w=45\",\"Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=45\",\"Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=45\",\"Find(4)=0, Find(6)=0, Add (4,6)=43 Failed, w=45\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=45\",\"Find(2)=0, Find(6)=0, Add (2,6)=57 Failed, w=45\",\"Find(4)=0, Find(7)=0, Add (4,7)=61 Failed, w=45\",\"Find(0)=0, Find(4)=0, Add (0,4)=73 Failed, w=45\",\"Find(5)=0, Find(7)=0, Add (5,7)=77 Failed, w=45\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=45\",\"Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=45\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=45\",\"Find(1)=0, Find(7)=0, Add (1,7)=95 Failed, w=45\",\"Find(1)=0, Find(6)=0, Add (1,6)=98 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,5],[0,2,53],[0,3,1],[0,4,73],[0,6,2],[1,2,41],[1,4,82],[1,5,20],[1,6,98],[1,7,95],[2,3,85],[2,4,5],[2,5,36],[2,6,57],[2,7,7],[3,4,42],[3,5,19],[3,6,24],[4,5,6],[4,6,43],[4,7,61],[5,6,82],[5,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,6)=2,(0,1)=5,(2,4)=5,(4,5)=6,(2,7)=7,(3,5)=19,(1,5)=20,(3,6)=24,(2,5)=36,(1,2)=41,(3,4)=42,(4,6)=43,(0,2)=53,(2,6)=57,(4,7)=61,(0,4)=73,(5,7)=77,(1,4)=82,(5,6)=82,(2,3)=85,(1,7)=95,(1,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 0, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=5 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2, 6: 0, 7: 7}, Find(4)=2, Find(5)=5, Add (4,5)=6 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 2, 6: 0, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=7 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 0, 7: 2}, Find(3)=0, Find(5)=2, Add (3,5)=19 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 2}, Find(1)=0, Find(5)=0, Add (1,5)=20 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(6)=0, Add (3,6)=24 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(5)=0, Add (2,5)=36 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 0, 7: 2}, Find(1)=0, Find(2)=0, Add (1,2)=41 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(3)=0, Find(4)=0, Add (3,4)=42 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(4)=0, Find(6)=0, Add (4,6)=43 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 2}, Find(2)=0, Find(6)=0, Add (2,6)=57 Failed, w=45\",\"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)=61 Failed, w=45\",\"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)=73 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=77 Failed, w=45\",\"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)=82 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=82 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=95 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=98 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,2,18],[0,3,16],[0,4,71],[0,5,61],[0,6,70],[1,2,98],[1,3,95],[1,4,87],[1,5,44],[1,6,87],[2,4,23],[2,5,57],[2,6,5],[3,4,58],[3,5,75],[3,6,33],[4,5,1],[4,6,5],[5,6,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,18],[0,3,16],[0,4,71],[0,5,61],[0,6,70],[1,2,98],[1,3,95],[1,4,87],[1,5,44],[1,6,87],[2,4,23],[2,5,57],[2,6,5],[3,4,58],[3,5,75],[3,6,33],[4,5,1],[4,6,5],[5,6,70]]}",
"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\":[[0,1,9],[0,2,18],[0,3,16],[0,4,71],[0,5,61],[0,6,70],[1,2,98],[1,3,95],[1,4,87],[1,5,44],[1,6,87],[2,4,23],[2,5,57],[2,6,5],[3,4,58],[3,5,75],[3,6,33],[4,5,1],[4,6,5],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (2,6)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,18],[0,3,16],[0,4,71],[0,5,61],[0,6,70],[1,2,98],[1,3,95],[1,4,87],[1,5,44],[1,6,87],[2,4,23],[2,5,57],[2,6,5],[3,4,58],[3,5,75],[3,6,33],[4,5,1],[4,6,5],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (2,6)=5, w=6\",\"Add (4,6)=5, w=11\",\"Add (0,1)=9, w=20\",\"Add (0,3)=16, w=36\",\"Add (0,2)=18, 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\":[[0,1,9],[0,2,18],[0,3,16],[0,4,71],[0,5,61],[0,6,70],[1,2,98],[1,3,95],[1,4,87],[1,5,44],[1,6,87],[2,4,23],[2,5,57],[2,6,5],[3,4,58],[3,5,75],[3,6,33],[4,5,1],[4,6,5],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (2,6)=5 Succeeded, w=6\",\"Add (4,6)=5 Succeeded, w=11\",\"Add (0,1)=9 Succeeded, w=20\",\"Add (0,3)=16 Succeeded, w=36\",\"Add (0,2)=18 Succeeded, w=54\",\"Add (2,4)=23 Failed, w=54\",\"Add (3,6)=33 Failed, w=54\",\"Add (1,5)=44 Failed, w=54\",\"Add (2,5)=57 Failed, w=54\",\"Add (3,4)=58 Failed, w=54\",\"Add (0,5)=61 Failed, w=54\",\"Add (0,6)=70 Failed, w=54\",\"Add (5,6)=70 Failed, w=54\",\"Add (0,4)=71 Failed, w=54\",\"Add (3,5)=75 Failed, w=54\",\"Add (1,4)=87 Failed, w=54\",\"Add (1,6)=87 Failed, w=54\",\"Add (1,3)=95 Failed, w=54\",\"Add (1,2)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,18],[0,3,16],[0,4,71],[0,5,61],[0,6,70],[1,2,98],[1,3,95],[1,4,87],[1,5,44],[1,6,87],[2,4,23],[2,5,57],[2,6,5],[3,4,58],[3,5,75],[3,6,33],[4,5,1],[4,6,5],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(2,6)=5,(4,6)=5,(0,1)=9,(0,3)=16,(0,2)=18,(2,4)=23,(3,6)=33,(1,5)=44,(2,5)=57,(3,4)=58,(0,5)=61,(0,6)=70,(5,6)=70,(0,4)=71,(3,5)=75,(1,4)=87,(1,6)=87,(1,3)=95,(1,2)=98]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=6\",\"Find(4)=4, Find(6)=2, Add (4,6)=5 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=20\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=36\",\"Find(0)=0, Find(2)=4, Add (0,2)=18 Succeeded, w=54\",\"Find(2)=4, Find(4)=4, Add (2,4)=23 Failed, w=54\",\"Find(3)=4, Find(6)=4, Add (3,6)=33 Failed, w=54\",\"Find(1)=4, Find(5)=4, Add (1,5)=44 Failed, w=54\",\"Find(2)=4, Find(5)=4, Add (2,5)=57 Failed, w=54\",\"Find(3)=4, Find(4)=4, Add (3,4)=58 Failed, w=54\",\"Find(0)=4, Find(5)=4, Add (0,5)=61 Failed, w=54\",\"Find(0)=4, Find(6)=4, Add (0,6)=70 Failed, w=54\",\"Find(5)=4, Find(6)=4, Add (5,6)=70 Failed, w=54\",\"Find(0)=4, Find(4)=4, Add (0,4)=71 Failed, w=54\",\"Find(3)=4, Find(5)=4, Add (3,5)=75 Failed, w=54\",\"Find(1)=4, Find(4)=4, Add (1,4)=87 Failed, w=54\",\"Find(1)=4, Find(6)=4, Add (1,6)=87 Failed, w=54\",\"Find(1)=4, Find(3)=4, Add (1,3)=95 Failed, w=54\",\"Find(1)=4, Find(2)=4, Add (1,2)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,2,18],[0,3,16],[0,4,71],[0,5,61],[0,6,70],[1,2,98],[1,3,95],[1,4,87],[1,5,44],[1,6,87],[2,4,23],[2,5,57],[2,6,5],[3,4,58],[3,5,75],[3,6,33],[4,5,1],[4,6,5],[5,6,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(2,6)=5,(4,6)=5,(0,1)=9,(0,3)=16,(0,2)=18,(2,4)=23,(3,6)=33,(1,5)=44,(2,5)=57,(3,4)=58,(0,5)=61,(0,6)=70,(5,6)=70,(0,4)=71,(3,5)=75,(1,4)=87,(1,6)=87,(1,3)=95,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 2}, Find(4)=4, Find(6)=2, Add (4,6)=5 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 3, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=36\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 2}, Find(0)=0, Find(2)=4, Add (0,2)=18 Succeeded, w=54\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 0, 4: 4, 5: 4, 6: 2}, Find(2)=4, Find(4)=4, Add (2,4)=23 Failed, w=54\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=33 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=44 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=57 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=58 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=61 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=70 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=70 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=71 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=75 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=87 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=87 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=95 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=98 Failed, w=54\"],\"Answer\":54}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,2,56],[0,3,91],[0,4,86],[1,2,0],[1,3,16],[1,4,99],[2,3,47],[2,4,59],[3,4,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,56],[0,3,91],[0,4,86],[1,2,0],[1,3,16],[1,4,99],[2,3,47],[2,4,59],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,56],[0,3,91],[0,4,86],[1,2,0],[1,3,16],[1,4,99],[2,3,47],[2,4,59],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,56],[0,3,91],[0,4,86],[1,2,0],[1,3,16],[1,4,99],[2,3,47],[2,4,59],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (3,4)=15, w=15\",\"Add (1,3)=16, w=31\",\"Add (0,2)=56, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,56],[0,3,91],[0,4,86],[1,2,0],[1,3,16],[1,4,99],[2,3,47],[2,4,59],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (3,4)=15 Succeeded, w=15\",\"Add (1,3)=16 Succeeded, w=31\",\"Add (2,3)=47 Failed, w=31\",\"Add (0,2)=56 Succeeded, w=87\",\"Add (2,4)=59 Failed, w=87\",\"Add (0,1)=79 Failed, w=87\",\"Add (0,4)=86 Failed, w=87\",\"Add (0,3)=91 Failed, w=87\",\"Add (1,4)=99 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,56],[0,3,91],[0,4,86],[1,2,0],[1,3,16],[1,4,99],[2,3,47],[2,4,59],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,4)=15,(1,3)=16,(2,3)=47,(0,2)=56,(2,4)=59,(0,1)=79,(0,4)=86,(0,3)=91,(1,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=31\",\"Find(2)=1, Find(3)=1, Add (2,3)=47 Failed, w=31\",\"Find(0)=0, Find(2)=1, Add (0,2)=56 Succeeded, w=87\",\"Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=87\",\"Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=87\",\"Find(0)=1, Find(4)=1, Add (0,4)=86 Failed, w=87\",\"Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=87\",\"Find(1)=1, Find(4)=1, Add (1,4)=99 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,2,56],[0,3,91],[0,4,86],[1,2,0],[1,3,16],[1,4,99],[2,3,47],[2,4,59],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(3,4)=15,(1,3)=16,(2,3)=47,(0,2)=56,(2,4)=59,(0,1)=79,(0,4)=86,(0,3)=91,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(2)=1, Find(3)=1, Add (2,3)=47 Failed, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=0, Find(2)=1, Add (0,2)=56 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=79 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=86 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=91 Failed, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=99 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,83],[1,2,17],[1,4,55],[2,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[1,2,17],[1,4,55],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[1,2,17],[1,4,55],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[1,2,17],[1,4,55],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=17, w=17\",\"Add (1,4)=55, w=72\",\"Add (0,3)=83, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[1,2,17],[1,4,55],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=17 Succeeded, w=17\",\"Add (1,4)=55 Succeeded, w=72\",\"Add (2,4)=58 Failed, w=72\",\"Add (0,3)=83 Succeeded, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[1,2,17],[1,4,55],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=17,(1,4)=55,(2,4)=58,(0,3)=83]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=55 Succeeded, w=72\",\"Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=72\",\"Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,83],[1,2,17],[1,4,55],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=17,(1,4)=55,(2,4)=58,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=55 Succeeded, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=72\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=83 Succeeded, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,81],[0,4,32],[0,5,10],[0,6,53],[1,2,10],[1,3,32],[1,4,54],[1,5,13],[1,6,89],[2,3,9],[2,4,54],[2,5,1],[2,6,66],[3,4,93],[3,6,41],[4,5,13],[4,6,91],[5,6,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,81],[0,4,32],[0,5,10],[0,6,53],[1,2,10],[1,3,32],[1,4,54],[1,5,13],[1,6,89],[2,3,9],[2,4,54],[2,5,1],[2,6,66],[3,4,93],[3,6,41],[4,5,13],[4,6,91],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,81],[0,4,32],[0,5,10],[0,6,53],[1,2,10],[1,3,32],[1,4,54],[1,5,13],[1,6,89],[2,3,9],[2,4,54],[2,5,1],[2,6,66],[3,4,93],[3,6,41],[4,5,13],[4,6,91],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (3,6)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,81],[0,4,32],[0,5,10],[0,6,53],[1,2,10],[1,3,32],[1,4,54],[1,5,13],[1,6,89],[2,3,9],[2,4,54],[2,5,1],[2,6,66],[3,4,93],[3,6,41],[4,5,13],[4,6,91],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1, w=1\",\"Add (0,1)=5, w=6\",\"Add (2,3)=9, w=15\",\"Add (0,5)=10, w=25\",\"Add (4,5)=13, w=38\",\"Add (3,6)=41, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,81],[0,4,32],[0,5,10],[0,6,53],[1,2,10],[1,3,32],[1,4,54],[1,5,13],[1,6,89],[2,3,9],[2,4,54],[2,5,1],[2,6,66],[3,4,93],[3,6,41],[4,5,13],[4,6,91],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=1 Succeeded, w=1\",\"Add (0,1)=5 Succeeded, w=6\",\"Add (2,3)=9 Succeeded, w=15\",\"Add (0,5)=10 Succeeded, w=25\",\"Add (1,2)=10 Failed, w=25\",\"Add (1,5)=13 Failed, w=25\",\"Add (4,5)=13 Succeeded, w=38\",\"Add (0,4)=32 Failed, w=38\",\"Add (1,3)=32 Failed, w=38\",\"Add (3,6)=41 Succeeded, w=79\",\"Add (0,6)=53 Failed, w=79\",\"Add (1,4)=54 Failed, w=79\",\"Add (2,4)=54 Failed, w=79\",\"Add (2,6)=66 Failed, w=79\",\"Add (5,6)=76 Failed, w=79\",\"Add (0,2)=81 Failed, w=79\",\"Add (1,6)=89 Failed, w=79\",\"Add (4,6)=91 Failed, w=79\",\"Add (3,4)=93 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,81],[0,4,32],[0,5,10],[0,6,53],[1,2,10],[1,3,32],[1,4,54],[1,5,13],[1,6,89],[2,3,9],[2,4,54],[2,5,1],[2,6,66],[3,4,93],[3,6,41],[4,5,13],[4,6,91],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(0,1)=5,(2,3)=9,(0,5)=10,(1,2)=10,(1,5)=13,(4,5)=13,(0,4)=32,(1,3)=32,(3,6)=41,(0,6)=53,(1,4)=54,(2,4)=54,(2,6)=66,(5,6)=76,(0,2)=81,(1,6)=89,(4,6)=91,(3,4)=93]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=6\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=15\",\"Find(0)=0, Find(5)=2, Add (0,5)=10 Succeeded, w=25\",\"Find(1)=0, Find(2)=0, Add (1,2)=10 Failed, w=25\",\"Find(1)=0, Find(5)=0, Add (1,5)=13 Failed, w=25\",\"Find(4)=4, Find(5)=0, Add (4,5)=13 Succeeded, w=38\",\"Find(0)=0, Find(4)=0, Add (0,4)=32 Failed, w=38\",\"Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=38\",\"Find(3)=0, Find(6)=6, Add (3,6)=41 Succeeded, w=79\",\"Find(0)=0, Find(6)=0, Add (0,6)=53 Failed, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=79\",\"Find(2)=0, Find(4)=0, Add (2,4)=54 Failed, w=79\",\"Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=79\",\"Find(5)=0, Find(6)=0, Add (5,6)=76 Failed, w=79\",\"Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=79\",\"Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=79\",\"Find(4)=0, Find(6)=0, Add (4,6)=91 Failed, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,81],[0,4,32],[0,5,10],[0,6,53],[1,2,10],[1,3,32],[1,4,54],[1,5,13],[1,6,89],[2,3,9],[2,4,54],[2,5,1],[2,6,66],[3,4,93],[3,6,41],[4,5,13],[4,6,91],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=1,(0,1)=5,(2,3)=9,(0,5)=10,(1,2)=10,(1,5)=13,(4,5)=13,(0,4)=32,(1,3)=32,(3,6)=41,(0,6)=53,(1,4)=54,(2,4)=54,(2,6)=66,(5,6)=76,(0,2)=81,(1,6)=89,(4,6)=91,(3,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(5)=2, Add (0,5)=10 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 2, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=10 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4, 5: 0, 6: 6}, Find(1)=0, Find(5)=0, Add (1,5)=13 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 6}, Find(4)=4, Find(5)=0, Add (4,5)=13 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0, 6: 6}, Find(0)=0, Find(4)=0, Add (0,4)=32 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=41 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=53 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=54 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=66 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=76 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=81 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=91 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,91],[0,2,95],[0,3,26],[0,4,7],[1,2,77],[1,3,20],[1,4,46],[2,3,26],[2,4,52],[3,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,95],[0,3,26],[0,4,7],[1,2,77],[1,3,20],[1,4,46],[2,3,26],[2,4,52],[3,4,58]]}",
"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\":[[0,1,91],[0,2,95],[0,3,26],[0,4,7],[1,2,77],[1,3,20],[1,4,46],[2,3,26],[2,4,52],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,95],[0,3,26],[0,4,7],[1,2,77],[1,3,20],[1,4,46],[2,3,26],[2,4,52],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (1,3)=20, w=27\",\"Add (0,3)=26, w=53\",\"Add (2,3)=26, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,91],[0,2,95],[0,3,26],[0,4,7],[1,2,77],[1,3,20],[1,4,46],[2,3,26],[2,4,52],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (1,3)=20 Succeeded, w=27\",\"Add (0,3)=26 Succeeded, w=53\",\"Add (2,3)=26 Succeeded, w=79\",\"Add (1,4)=46 Failed, w=79\",\"Add (2,4)=52 Failed, w=79\",\"Add (3,4)=58 Failed, w=79\",\"Add (1,2)=77 Failed, w=79\",\"Add (0,1)=91 Failed, w=79\",\"Add (0,2)=95 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\":[[0,1,91],[0,2,95],[0,3,26],[0,4,7],[1,2,77],[1,3,20],[1,4,46],[2,3,26],[2,4,52],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(1,3)=20,(0,3)=26,(2,3)=26,(1,4)=46,(2,4)=52,(3,4)=58,(1,2)=77,(0,1)=91,(0,2)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=27\",\"Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=53\",\"Find(2)=2, Find(3)=0, Add (2,3)=26 Succeeded, w=79\",\"Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=79\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=79\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=79\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=79\",\"Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=79\",\"Find(0)=0, Find(2)=0, Add (0,2)=95 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\":[[0,1,91],[0,2,95],[0,3,26],[0,4,7],[1,2,77],[1,3,20],[1,4,46],[2,3,26],[2,4,52],[3,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(1,3)=20,(0,3)=26,(2,3)=26,(1,4)=46,(2,4)=52,(3,4)=58,(1,2)=77,(0,1)=91,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=20 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=26 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=46 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=91 Failed, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=95 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,4,80],[1,2,95],[1,3,26],[2,4,31],[3,4,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,80],[1,2,95],[1,3,26],[2,4,31],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,80],[1,2,95],[1,3,26],[2,4,31],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,80],[1,2,95],[1,3,26],[2,4,31],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=26, w=26\",\"Add (3,4)=27, w=53\",\"Add (2,4)=31, w=84\",\"Add (0,1)=74, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,80],[1,2,95],[1,3,26],[2,4,31],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=26 Succeeded, w=26\",\"Add (3,4)=27 Succeeded, w=53\",\"Add (2,4)=31 Succeeded, w=84\",\"Add (0,1)=74 Succeeded, w=158\",\"Add (0,4)=80 Failed, w=158\",\"Add (1,2)=95 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,80],[1,2,95],[1,3,26],[2,4,31],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=26,(3,4)=27,(2,4)=31,(0,1)=74,(0,4)=80,(1,2)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=26\",\"Find(3)=1, Find(4)=4, Add (3,4)=27 Succeeded, w=53\",\"Find(2)=2, Find(4)=1, Add (2,4)=31 Succeeded, w=84\",\"Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=158\",\"Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=158\",\"Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,4,80],[1,2,95],[1,3,26],[2,4,31],[3,4,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=26,(3,4)=27,(2,4)=31,(0,1)=74,(0,4)=80,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=27 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=31 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=74 Succeeded, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=80 Failed, w=158\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=95 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,53],[0,2,78],[0,3,78],[1,2,23],[1,3,37],[2,3,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,78],[0,3,78],[1,2,23],[1,3,37],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,78],[0,3,78],[1,2,23],[1,3,37],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,78],[0,3,78],[1,2,23],[1,3,37],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23, w=23\",\"Add (1,3)=37, w=60\",\"Add (0,1)=53, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,78],[0,3,78],[1,2,23],[1,3,37],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=23 Succeeded, w=23\",\"Add (1,3)=37 Succeeded, w=60\",\"Add (0,1)=53 Succeeded, w=113\",\"Add (0,2)=78 Failed, w=113\",\"Add (0,3)=78 Failed, w=113\",\"Add (2,3)=95 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,78],[0,3,78],[1,2,23],[1,3,37],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(1,3)=37,(0,1)=53,(0,2)=78,(0,3)=78,(2,3)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=60\",\"Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=113\",\"Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=113\",\"Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=113\",\"Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,53],[0,2,78],[0,3,78],[1,2,23],[1,3,37],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=23,(1,3)=37,(0,1)=53,(0,2)=78,(0,3)=78,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=37 Succeeded, w=60\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=53 Succeeded, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=78 Failed, w=113\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=95 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,92],[0,2,2],[0,3,34],[1,2,72],[1,3,3],[2,3,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,2],[0,3,34],[1,2,72],[1,3,3],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,2],[0,3,34],[1,2,72],[1,3,3],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,2],[0,3,34],[1,2,72],[1,3,3],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (1,3)=3, w=5\",\"Add (0,3)=34, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,2],[0,3,34],[1,2,72],[1,3,3],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,3)=3 Succeeded, w=5\",\"Add (0,3)=34 Succeeded, w=39\",\"Add (1,2)=72 Failed, w=39\",\"Add (0,1)=92 Failed, w=39\",\"Add (2,3)=94 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,2],[0,3,34],[1,2,72],[1,3,3],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,3)=3,(0,3)=34,(1,2)=72,(0,1)=92,(2,3)=94]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=39\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=39\",\"Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=39\",\"Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,2],[0,3,34],[1,2,72],[1,3,3],[2,3,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,3)=3,(0,3)=34,(1,2)=72,(0,1)=92,(2,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=34 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,76],[0,3,29],[0,4,55],[1,2,86],[1,3,76],[1,4,72],[2,3,95],[2,4,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,76],[0,3,29],[0,4,55],[1,2,86],[1,3,76],[1,4,72],[2,3,95],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,76],[0,3,29],[0,4,55],[1,2,86],[1,3,76],[1,4,72],[2,3,95],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,76],[0,3,29],[0,4,55],[1,2,86],[1,3,76],[1,4,72],[2,3,95],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=29, w=29\",\"Add (0,3)=29, w=58\",\"Add (0,4)=55, w=113\",\"Add (2,4)=55, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,76],[0,3,29],[0,4,55],[1,2,86],[1,3,76],[1,4,72],[2,3,95],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=29 Succeeded, w=29\",\"Add (0,3)=29 Succeeded, w=58\",\"Add (0,4)=55 Succeeded, w=113\",\"Add (2,4)=55 Succeeded, w=168\",\"Add (1,4)=72 Failed, w=168\",\"Add (0,2)=76 Failed, w=168\",\"Add (1,3)=76 Failed, w=168\",\"Add (1,2)=86 Failed, w=168\",\"Add (2,3)=95 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,76],[0,3,29],[0,4,55],[1,2,86],[1,3,76],[1,4,72],[2,3,95],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=29,(0,3)=29,(0,4)=55,(2,4)=55,(1,4)=72,(0,2)=76,(1,3)=76,(1,2)=86,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=58\",\"Find(0)=0, Find(4)=4, Add (0,4)=55 Succeeded, w=113\",\"Find(2)=2, Find(4)=0, Add (2,4)=55 Succeeded, w=168\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=168\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=168\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=168\",\"Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=168\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,76],[0,3,29],[0,4,55],[1,2,86],[1,3,76],[1,4,72],[2,3,95],[2,4,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=29,(0,3)=29,(0,4)=55,(2,4)=55,(1,4)=72,(0,2)=76,(1,3)=76,(1,2)=86,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=29 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=55 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=55 Succeeded, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=86 Failed, w=168\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,92],[0,3,54],[0,5,72],[0,6,45],[1,3,87],[1,4,9],[2,6,97],[4,6,0],[5,6,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,54],[0,5,72],[0,6,45],[1,3,87],[1,4,9],[2,6,97],[4,6,0],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,54],[0,5,72],[0,6,45],[1,3,87],[1,4,9],[2,6,97],[4,6,0],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,4)\",\"Add (5,6)\",\"Add (0,6)\",\"Add (0,3)\",\"Add (2,6)\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,54],[0,5,72],[0,6,45],[1,3,87],[1,4,9],[2,6,97],[4,6,0],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0, w=0\",\"Add (1,4)=9, w=9\",\"Add (5,6)=25, w=34\",\"Add (0,6)=45, w=79\",\"Add (0,3)=54, w=133\",\"Add (2,6)=97, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,54],[0,5,72],[0,6,45],[1,3,87],[1,4,9],[2,6,97],[4,6,0],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=0 Succeeded, w=0\",\"Add (1,4)=9 Succeeded, w=9\",\"Add (5,6)=25 Succeeded, w=34\",\"Add (0,6)=45 Succeeded, w=79\",\"Add (0,3)=54 Succeeded, w=133\",\"Add (0,5)=72 Failed, w=133\",\"Add (1,3)=87 Failed, w=133\",\"Add (0,1)=92 Failed, w=133\",\"Add (2,6)=97 Succeeded, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,54],[0,5,72],[0,6,45],[1,3,87],[1,4,9],[2,6,97],[4,6,0],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(1,4)=9,(5,6)=25,(0,6)=45,(0,3)=54,(0,5)=72,(1,3)=87,(0,1)=92,(2,6)=97]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Find(5)=5, Find(6)=4, Add (5,6)=25 Succeeded, w=34\",\"Find(0)=0, Find(6)=4, Add (0,6)=45 Succeeded, w=79\",\"Find(0)=4, Find(3)=3, Add (0,3)=54 Succeeded, w=133\",\"Find(0)=4, Find(5)=4, Add (0,5)=72 Failed, w=133\",\"Find(1)=4, Find(3)=4, Add (1,3)=87 Failed, w=133\",\"Find(0)=4, Find(1)=4, Add (0,1)=92 Failed, w=133\",\"Find(2)=2, Find(6)=4, Add (2,6)=97 Succeeded, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,92],[0,3,54],[0,5,72],[0,6,45],[1,3,87],[1,4,9],[2,6,97],[4,6,0],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=0,(1,4)=9,(5,6)=25,(0,6)=45,(0,3)=54,(0,5)=72,(1,3)=87,(0,1)=92,(2,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=5, Find(6)=4, Add (5,6)=25 Succeeded, w=34\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(6)=4, Add (0,6)=45 Succeeded, w=79\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=3, Add (0,3)=54 Succeeded, w=133\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=72 Failed, w=133\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=87 Failed, w=133\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=92 Failed, w=133\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=2, Find(6)=4, Add (2,6)=97 Succeeded, w=230\"],\"Answer\":230}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,46],[0,4,75],[0,5,46],[1,2,27],[1,3,31],[1,4,9],[1,5,29],[1,7,54],[2,3,32],[2,4,63],[2,5,41],[2,6,7],[2,7,16],[3,5,57],[3,7,12],[4,5,65],[4,6,55],[4,7,49],[5,6,90],[5,7,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,75],[0,5,46],[1,2,27],[1,3,31],[1,4,9],[1,5,29],[1,7,54],[2,3,32],[2,4,63],[2,5,41],[2,6,7],[2,7,16],[3,5,57],[3,7,12],[4,5,65],[4,6,55],[4,7,49],[5,6,90],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,75],[0,5,46],[1,2,27],[1,3,31],[1,4,9],[1,5,29],[1,7,54],[2,3,32],[2,4,63],[2,5,41],[2,6,7],[2,7,16],[3,5,57],[3,7,12],[4,5,65],[4,6,55],[4,7,49],[5,6,90],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (1,4)\",\"Add (3,7)\",\"Add (2,7)\",\"Add (5,7)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,75],[0,5,46],[1,2,27],[1,3,31],[1,4,9],[1,5,29],[1,7,54],[2,3,32],[2,4,63],[2,5,41],[2,6,7],[2,7,16],[3,5,57],[3,7,12],[4,5,65],[4,6,55],[4,7,49],[5,6,90],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=7, w=7\",\"Add (1,4)=9, w=16\",\"Add (3,7)=12, w=28\",\"Add (2,7)=16, w=44\",\"Add (5,7)=22, w=66\",\"Add (1,2)=27, w=93\",\"Add (0,2)=46, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,75],[0,5,46],[1,2,27],[1,3,31],[1,4,9],[1,5,29],[1,7,54],[2,3,32],[2,4,63],[2,5,41],[2,6,7],[2,7,16],[3,5,57],[3,7,12],[4,5,65],[4,6,55],[4,7,49],[5,6,90],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=7 Succeeded, w=7\",\"Add (1,4)=9 Succeeded, w=16\",\"Add (3,7)=12 Succeeded, w=28\",\"Add (2,7)=16 Succeeded, w=44\",\"Add (5,7)=22 Succeeded, w=66\",\"Add (1,2)=27 Succeeded, w=93\",\"Add (1,5)=29 Failed, w=93\",\"Add (1,3)=31 Failed, w=93\",\"Add (2,3)=32 Failed, w=93\",\"Add (2,5)=41 Failed, w=93\",\"Add (0,2)=46 Succeeded, w=139\",\"Add (0,5)=46 Failed, w=139\",\"Add (4,7)=49 Failed, w=139\",\"Add (1,7)=54 Failed, w=139\",\"Add (4,6)=55 Failed, w=139\",\"Add (3,5)=57 Failed, w=139\",\"Add (2,4)=63 Failed, w=139\",\"Add (4,5)=65 Failed, w=139\",\"Add (0,4)=75 Failed, w=139\",\"Add (5,6)=90 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,75],[0,5,46],[1,2,27],[1,3,31],[1,4,9],[1,5,29],[1,7,54],[2,3,32],[2,4,63],[2,5,41],[2,6,7],[2,7,16],[3,5,57],[3,7,12],[4,5,65],[4,6,55],[4,7,49],[5,6,90],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=7,(1,4)=9,(3,7)=12,(2,7)=16,(5,7)=22,(1,2)=27,(1,5)=29,(1,3)=31,(2,3)=32,(2,5)=41,(0,2)=46,(0,5)=46,(4,7)=49,(1,7)=54,(4,6)=55,(3,5)=57,(2,4)=63,(4,5)=65,(0,4)=75,(5,6)=90]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=7 Succeeded, w=7\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=16\",\"Find(3)=3, Find(7)=7, Add (3,7)=12 Succeeded, w=28\",\"Find(2)=2, Find(7)=3, Add (2,7)=16 Succeeded, w=44\",\"Find(5)=5, Find(7)=2, Add (5,7)=22 Succeeded, w=66\",\"Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=93\",\"Find(1)=2, Find(5)=2, Add (1,5)=29 Failed, w=93\",\"Find(1)=2, Find(3)=2, Add (1,3)=31 Failed, w=93\",\"Find(2)=2, Find(3)=2, Add (2,3)=32 Failed, w=93\",\"Find(2)=2, Find(5)=2, Add (2,5)=41 Failed, w=93\",\"Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=139\",\"Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=139\",\"Find(4)=2, Find(7)=2, Add (4,7)=49 Failed, w=139\",\"Find(1)=2, Find(7)=2, Add (1,7)=54 Failed, w=139\",\"Find(4)=2, Find(6)=2, Add (4,6)=55 Failed, w=139\",\"Find(3)=2, Find(5)=2, Add (3,5)=57 Failed, w=139\",\"Find(2)=2, Find(4)=2, Add (2,4)=63 Failed, w=139\",\"Find(4)=2, Find(5)=2, Add (4,5)=65 Failed, w=139\",\"Find(0)=2, Find(4)=2, Add (0,4)=75 Failed, w=139\",\"Find(5)=2, Find(6)=2, Add (5,6)=90 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,46],[0,4,75],[0,5,46],[1,2,27],[1,3,31],[1,4,9],[1,5,29],[1,7,54],[2,3,32],[2,4,63],[2,5,41],[2,6,7],[2,7,16],[3,5,57],[3,7,12],[4,5,65],[4,6,55],[4,7,49],[5,6,90],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=7,(1,4)=9,(3,7)=12,(2,7)=16,(5,7)=22,(1,2)=27,(1,5)=29,(1,3)=31,(2,3)=32,(2,5)=41,(0,2)=46,(0,5)=46,(4,7)=49,(1,7)=54,(4,6)=55,(3,5)=57,(2,4)=63,(4,5)=65,(0,4)=75,(5,6)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=12 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 5, 6: 2, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=16 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(5)=5, Find(7)=2, Add (5,7)=22 Succeeded, w=66\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(1)=1, Find(2)=2, Add (1,2)=27 Succeeded, w=93\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=29 Failed, w=93\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=31 Failed, w=93\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=32 Failed, w=93\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=41 Failed, w=93\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(0)=0, Find(2)=2, Add (0,2)=46 Succeeded, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=46 Failed, w=139\",\"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)=49 Failed, w=139\",\"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)=54 Failed, w=139\",\"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)=55 Failed, w=139\",\"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)=57 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=63 Failed, w=139\",\"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)=65 Failed, w=139\",\"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)=75 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=90 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,38],[0,2,95],[0,3,100],[0,4,84],[0,5,44],[0,6,79],[1,2,90],[1,3,78],[1,4,84],[1,5,91],[1,6,9],[2,3,86],[2,4,75],[2,5,9],[2,6,49],[3,4,19],[3,5,34],[3,6,13],[4,5,75],[4,6,31],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,95],[0,3,100],[0,4,84],[0,5,44],[0,6,79],[1,2,90],[1,3,78],[1,4,84],[1,5,91],[1,6,9],[2,3,86],[2,4,75],[2,5,9],[2,6,49],[3,4,19],[3,5,34],[3,6,13],[4,5,75],[4,6,31],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,95],[0,3,100],[0,4,84],[0,5,44],[0,6,79],[1,2,90],[1,3,78],[1,4,84],[1,5,91],[1,6,9],[2,3,86],[2,4,75],[2,5,9],[2,6,49],[3,4,19],[3,5,34],[3,6,13],[4,5,75],[4,6,31],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (3,4)\",\"Add (3,5)\",\"Add (0,1)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,95],[0,3,100],[0,4,84],[0,5,44],[0,6,79],[1,2,90],[1,3,78],[1,4,84],[1,5,91],[1,6,9],[2,3,86],[2,4,75],[2,5,9],[2,6,49],[3,4,19],[3,5,34],[3,6,13],[4,5,75],[4,6,31],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=9, w=9\",\"Add (2,5)=9, w=18\",\"Add (3,6)=13, w=31\",\"Add (3,4)=19, w=50\",\"Add (3,5)=34, w=84\",\"Add (0,1)=38, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,95],[0,3,100],[0,4,84],[0,5,44],[0,6,79],[1,2,90],[1,3,78],[1,4,84],[1,5,91],[1,6,9],[2,3,86],[2,4,75],[2,5,9],[2,6,49],[3,4,19],[3,5,34],[3,6,13],[4,5,75],[4,6,31],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=9 Succeeded, w=9\",\"Add (2,5)=9 Succeeded, w=18\",\"Add (3,6)=13 Succeeded, w=31\",\"Add (3,4)=19 Succeeded, w=50\",\"Add (4,6)=31 Failed, w=50\",\"Add (3,5)=34 Succeeded, w=84\",\"Add (0,1)=38 Succeeded, w=122\",\"Add (5,6)=41 Failed, w=122\",\"Add (0,5)=44 Failed, w=122\",\"Add (2,6)=49 Failed, w=122\",\"Add (2,4)=75 Failed, w=122\",\"Add (4,5)=75 Failed, w=122\",\"Add (1,3)=78 Failed, w=122\",\"Add (0,6)=79 Failed, w=122\",\"Add (0,4)=84 Failed, w=122\",\"Add (1,4)=84 Failed, w=122\",\"Add (2,3)=86 Failed, w=122\",\"Add (1,2)=90 Failed, w=122\",\"Add (1,5)=91 Failed, w=122\",\"Add (0,2)=95 Failed, w=122\",\"Add (0,3)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,95],[0,3,100],[0,4,84],[0,5,44],[0,6,79],[1,2,90],[1,3,78],[1,4,84],[1,5,91],[1,6,9],[2,3,86],[2,4,75],[2,5,9],[2,6,49],[3,4,19],[3,5,34],[3,6,13],[4,5,75],[4,6,31],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=9,(2,5)=9,(3,6)=13,(3,4)=19,(4,6)=31,(3,5)=34,(0,1)=38,(5,6)=41,(0,5)=44,(2,6)=49,(2,4)=75,(4,5)=75,(1,3)=78,(0,6)=79,(0,4)=84,(1,4)=84,(2,3)=86,(1,2)=90,(1,5)=91,(0,2)=95,(0,3)=100]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=9 Succeeded, w=9\",\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=18\",\"Find(3)=3, Find(6)=1, Add (3,6)=13 Succeeded, w=31\",\"Find(3)=1, Find(4)=4, Add (3,4)=19 Succeeded, w=50\",\"Find(4)=1, Find(6)=1, Add (4,6)=31 Failed, w=50\",\"Find(3)=1, Find(5)=2, Add (3,5)=34 Succeeded, w=84\",\"Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=122\",\"Find(5)=1, Find(6)=1, Add (5,6)=41 Failed, w=122\",\"Find(0)=1, Find(5)=1, Add (0,5)=44 Failed, w=122\",\"Find(2)=1, Find(6)=1, Add (2,6)=49 Failed, w=122\",\"Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=122\",\"Find(4)=1, Find(5)=1, Add (4,5)=75 Failed, w=122\",\"Find(1)=1, Find(3)=1, Add (1,3)=78 Failed, w=122\",\"Find(0)=1, Find(6)=1, Add (0,6)=79 Failed, w=122\",\"Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=122\",\"Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=122\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=122\",\"Find(1)=1, Find(2)=1, Add (1,2)=90 Failed, w=122\",\"Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=122\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=122\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,38],[0,2,95],[0,3,100],[0,4,84],[0,5,44],[0,6,79],[1,2,90],[1,3,78],[1,4,84],[1,5,91],[1,6,9],[2,3,86],[2,4,75],[2,5,9],[2,6,49],[3,4,19],[3,5,34],[3,6,13],[4,5,75],[4,6,31],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=9,(2,5)=9,(3,6)=13,(3,4)=19,(4,6)=31,(3,5)=34,(0,1)=38,(5,6)=41,(0,5)=44,(2,6)=49,(2,4)=75,(4,5)=75,(1,3)=78,(0,6)=79,(0,4)=84,(1,4)=84,(2,3)=86,(1,2)=90,(1,5)=91,(0,2)=95,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1}, Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=13 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(3)=1, Find(4)=4, Add (3,4)=19 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=31 Failed, w=50\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(3)=1, Find(5)=2, Add (3,5)=34 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(0)=0, Find(1)=1, Add (0,1)=38 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=41 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=44 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=49 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=75 Failed, w=122\",\"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=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=78 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=79 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=84 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=90 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,60],[0,2,33],[0,3,11],[0,4,6],[1,2,92],[1,3,88],[1,4,1],[2,3,71],[2,4,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,33],[0,3,11],[0,4,6],[1,2,92],[1,3,88],[1,4,1],[2,3,71],[2,4,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,33],[0,3,11],[0,4,6],[1,2,92],[1,3,88],[1,4,1],[2,3,71],[2,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,33],[0,3,11],[0,4,6],[1,2,92],[1,3,88],[1,4,1],[2,3,71],[2,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1, w=1\",\"Add (0,4)=6, w=7\",\"Add (0,3)=11, w=18\",\"Add (0,2)=33, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,33],[0,3,11],[0,4,6],[1,2,92],[1,3,88],[1,4,1],[2,3,71],[2,4,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=1 Succeeded, w=1\",\"Add (0,4)=6 Succeeded, w=7\",\"Add (0,3)=11 Succeeded, w=18\",\"Add (0,2)=33 Succeeded, w=51\",\"Add (2,4)=49 Failed, w=51\",\"Add (0,1)=60 Failed, w=51\",\"Add (2,3)=71 Failed, w=51\",\"Add (1,3)=88 Failed, w=51\",\"Add (1,2)=92 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,33],[0,3,11],[0,4,6],[1,2,92],[1,3,88],[1,4,1],[2,3,71],[2,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(0,4)=6,(0,3)=11,(0,2)=33,(2,4)=49,(0,1)=60,(2,3)=71,(1,3)=88,(1,2)=92]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=1, Add (0,4)=6 Succeeded, w=7\",\"Find(0)=1, Find(3)=3, Add (0,3)=11 Succeeded, w=18\",\"Find(0)=1, Find(2)=2, Add (0,2)=33 Succeeded, w=51\",\"Find(2)=1, Find(4)=1, Add (2,4)=49 Failed, w=51\",\"Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=51\",\"Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=51\",\"Find(1)=1, Find(3)=1, Add (1,3)=88 Failed, w=51\",\"Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,60],[0,2,33],[0,3,11],[0,4,6],[1,2,92],[1,3,88],[1,4,1],[2,3,71],[2,4,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=1,(0,4)=6,(0,3)=11,(0,2)=33,(2,4)=49,(0,1)=60,(2,3)=71,(1,3)=88,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=6 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=11 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=33 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=49 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=60 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=71 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=88 Failed, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=92 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,63],[0,2,85],[0,3,13],[2,3,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,85],[0,3,13],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,85],[0,3,13],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,85],[0,3,13],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13, w=13\",\"Add (2,3)=42, w=55\",\"Add (0,1)=63, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,85],[0,3,13],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=13 Succeeded, w=13\",\"Add (2,3)=42 Succeeded, w=55\",\"Add (0,1)=63 Succeeded, w=118\",\"Add (0,2)=85 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,85],[0,3,13],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(2,3)=42,(0,1)=63,(0,2)=85]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Find(2)=2, Find(3)=0, Add (2,3)=42 Succeeded, w=55\",\"Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=118\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,85],[0,3,13],[2,3,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=13,(2,3)=42,(0,1)=63,(0,2)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=42 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=63 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,67],[0,3,88],[1,2,85],[1,3,90],[1,4,21],[2,3,75],[2,4,39],[3,4,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,3,88],[1,2,85],[1,3,90],[1,4,21],[2,3,75],[2,4,39],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,3,88],[1,2,85],[1,3,90],[1,4,21],[2,3,75],[2,4,39],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,3,88],[1,2,85],[1,3,90],[1,4,21],[2,3,75],[2,4,39],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=21, w=21\",\"Add (2,4)=39, w=60\",\"Add (3,4)=40, w=100\",\"Add (0,1)=67, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,3,88],[1,2,85],[1,3,90],[1,4,21],[2,3,75],[2,4,39],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=21 Succeeded, w=21\",\"Add (2,4)=39 Succeeded, w=60\",\"Add (3,4)=40 Succeeded, w=100\",\"Add (0,1)=67 Succeeded, w=167\",\"Add (2,3)=75 Failed, w=167\",\"Add (1,2)=85 Failed, w=167\",\"Add (0,3)=88 Failed, w=167\",\"Add (1,3)=90 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,3,88],[1,2,85],[1,3,90],[1,4,21],[2,3,75],[2,4,39],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=21,(2,4)=39,(3,4)=40,(0,1)=67,(2,3)=75,(1,2)=85,(0,3)=88,(1,3)=90]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=21 Succeeded, w=21\",\"Find(2)=2, Find(4)=1, Add (2,4)=39 Succeeded, w=60\",\"Find(3)=3, Find(4)=1, Add (3,4)=40 Succeeded, w=100\",\"Find(0)=0, Find(1)=1, Add (0,1)=67 Succeeded, w=167\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=167\",\"Find(1)=1, Find(2)=1, Add (1,2)=85 Failed, w=167\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=167\",\"Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,67],[0,3,88],[1,2,85],[1,3,90],[1,4,21],[2,3,75],[2,4,39],[3,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=21,(2,4)=39,(3,4)=40,(0,1)=67,(2,3)=75,(1,2)=85,(0,3)=88,(1,3)=90]\",\"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(2)=2, Find(4)=1, Add (2,4)=39 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=40 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=67 Succeeded, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=85 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=167\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,78],[0,3,59],[0,5,94],[1,2,33],[1,4,13],[1,5,58],[2,3,40],[2,4,36],[3,5,61],[4,5,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,3,59],[0,5,94],[1,2,33],[1,4,13],[1,5,58],[2,3,40],[2,4,36],[3,5,61],[4,5,59]]}",
"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],\"edges\":[[0,2,78],[0,3,59],[0,5,94],[1,2,33],[1,4,13],[1,5,58],[2,3,40],[2,4,36],[3,5,61],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (0,3)\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,3,59],[0,5,94],[1,2,33],[1,4,13],[1,5,58],[2,3,40],[2,4,36],[3,5,61],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13, w=13\",\"Add (1,2)=33, w=46\",\"Add (2,3)=40, w=86\",\"Add (1,5)=58, w=144\",\"Add (0,3)=59, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,78],[0,3,59],[0,5,94],[1,2,33],[1,4,13],[1,5,58],[2,3,40],[2,4,36],[3,5,61],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13 Succeeded, w=13\",\"Add (1,2)=33 Succeeded, w=46\",\"Add (2,4)=36 Failed, w=46\",\"Add (2,3)=40 Succeeded, w=86\",\"Add (1,5)=58 Succeeded, w=144\",\"Add (0,3)=59 Succeeded, w=203\",\"Add (4,5)=59 Failed, w=203\",\"Add (3,5)=61 Failed, w=203\",\"Add (0,2)=78 Failed, w=203\",\"Add (0,5)=94 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],\"edges\":[[0,2,78],[0,3,59],[0,5,94],[1,2,33],[1,4,13],[1,5,58],[2,3,40],[2,4,36],[3,5,61],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(1,2)=33,(2,4)=36,(2,3)=40,(1,5)=58,(0,3)=59,(4,5)=59,(3,5)=61,(0,2)=78,(0,5)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=46\",\"Find(2)=1, Find(4)=1, Add (2,4)=36 Failed, w=46\",\"Find(2)=1, Find(3)=3, Add (2,3)=40 Succeeded, w=86\",\"Find(1)=1, Find(5)=5, Add (1,5)=58 Succeeded, w=144\",\"Find(0)=0, Find(3)=1, Add (0,3)=59 Succeeded, w=203\",\"Find(4)=1, Find(5)=1, Add (4,5)=59 Failed, w=203\",\"Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=203\",\"Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=203\",\"Find(0)=1, Find(5)=1, Add (0,5)=94 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],\"edges\":[[0,2,78],[0,3,59],[0,5,94],[1,2,33],[1,4,13],[1,5,58],[2,3,40],[2,4,36],[3,5,61],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(1,2)=33,(2,4)=36,(2,3)=40,(1,5)=58,(0,3)=59,(4,5)=59,(3,5)=61,(0,2)=78,(0,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(2)=1, Find(4)=1, Add (2,4)=36 Failed, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5}, Find(2)=1, Find(3)=3, Add (2,3)=40 Succeeded, w=86\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=58 Succeeded, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(3)=1, Add (0,3)=59 Succeeded, w=203\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=59 Failed, w=203\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=61 Failed, w=203\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=203\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=203\"],\"Answer\":203}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,90],[0,2,16],[0,3,37],[0,4,58],[1,2,76],[1,3,98],[1,4,10],[2,3,60],[2,4,72],[3,4,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,16],[0,3,37],[0,4,58],[1,2,76],[1,3,98],[1,4,10],[2,3,60],[2,4,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,16],[0,3,37],[0,4,58],[1,2,76],[1,3,98],[1,4,10],[2,3,60],[2,4,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,16],[0,3,37],[0,4,58],[1,2,76],[1,3,98],[1,4,10],[2,3,60],[2,4,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10, w=10\",\"Add (0,2)=16, w=26\",\"Add (0,3)=37, w=63\",\"Add (0,4)=58, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,16],[0,3,37],[0,4,58],[1,2,76],[1,3,98],[1,4,10],[2,3,60],[2,4,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=10 Succeeded, w=10\",\"Add (0,2)=16 Succeeded, w=26\",\"Add (0,3)=37 Succeeded, w=63\",\"Add (0,4)=58 Succeeded, w=121\",\"Add (2,3)=60 Failed, w=121\",\"Add (2,4)=72 Failed, w=121\",\"Add (1,2)=76 Failed, w=121\",\"Add (3,4)=88 Failed, w=121\",\"Add (0,1)=90 Failed, w=121\",\"Add (1,3)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,16],[0,3,37],[0,4,58],[1,2,76],[1,3,98],[1,4,10],[2,3,60],[2,4,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(0,2)=16,(0,3)=37,(0,4)=58,(2,3)=60,(2,4)=72,(1,2)=76,(3,4)=88,(0,1)=90,(1,3)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=26\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=63\",\"Find(0)=0, Find(4)=1, Add (0,4)=58 Succeeded, w=121\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=121\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=121\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=121\",\"Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=121\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=121\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,16],[0,3,37],[0,4,58],[1,2,76],[1,3,98],[1,4,10],[2,3,60],[2,4,72],[3,4,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=10,(0,2)=16,(0,3)=37,(0,4)=58,(2,3)=60,(2,4)=72,(1,2)=76,(3,4)=88,(0,1)=90,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=58 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=88 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,40],[0,3,75],[1,3,29],[2,3,30],[2,4,90],[3,4,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,75],[1,3,29],[2,3,30],[2,4,90],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,75],[1,3,29],[2,3,30],[2,4,90],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,75],[1,3,29],[2,3,30],[2,4,90],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=29, w=29\",\"Add (2,3)=30, w=59\",\"Add (3,4)=34, w=93\",\"Add (0,1)=40, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,75],[1,3,29],[2,3,30],[2,4,90],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=29 Succeeded, w=29\",\"Add (2,3)=30 Succeeded, w=59\",\"Add (3,4)=34 Succeeded, w=93\",\"Add (0,1)=40 Succeeded, w=133\",\"Add (0,3)=75 Failed, w=133\",\"Add (2,4)=90 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,75],[1,3,29],[2,3,30],[2,4,90],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=29,(2,3)=30,(3,4)=34,(0,1)=40,(0,3)=75,(2,4)=90]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=29\",\"Find(2)=2, Find(3)=1, Add (2,3)=30 Succeeded, w=59\",\"Find(3)=1, Find(4)=4, Add (3,4)=34 Succeeded, w=93\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=133\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=133\",\"Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,40],[0,3,75],[1,3,29],[2,3,30],[2,4,90],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=29,(2,3)=30,(3,4)=34,(0,1)=40,(0,3)=75,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=2, Find(3)=1, Add (2,3)=30 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=34 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,86],[0,2,79],[0,3,100],[0,4,92],[1,2,23],[1,3,97],[1,4,13],[2,3,81],[2,4,58],[3,4,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,79],[0,3,100],[0,4,92],[1,2,23],[1,3,97],[1,4,13],[2,3,81],[2,4,58],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,79],[0,3,100],[0,4,92],[1,2,23],[1,3,97],[1,4,13],[2,3,81],[2,4,58],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,2)\",\"Add (3,4)\",\"Add (0,2)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,79],[0,3,100],[0,4,92],[1,2,23],[1,3,97],[1,4,13],[2,3,81],[2,4,58],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13, w=13\",\"Add (1,2)=23, w=36\",\"Add (3,4)=41, w=77\",\"Add (0,2)=79, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,79],[0,3,100],[0,4,92],[1,2,23],[1,3,97],[1,4,13],[2,3,81],[2,4,58],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=13 Succeeded, w=13\",\"Add (1,2)=23 Succeeded, w=36\",\"Add (3,4)=41 Succeeded, w=77\",\"Add (2,4)=58 Failed, w=77\",\"Add (0,2)=79 Succeeded, w=156\",\"Add (2,3)=81 Failed, w=156\",\"Add (0,1)=86 Failed, w=156\",\"Add (0,4)=92 Failed, w=156\",\"Add (1,3)=97 Failed, w=156\",\"Add (0,3)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,79],[0,3,100],[0,4,92],[1,2,23],[1,3,97],[1,4,13],[2,3,81],[2,4,58],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(1,2)=23,(3,4)=41,(2,4)=58,(0,2)=79,(2,3)=81,(0,1)=86,(0,4)=92,(1,3)=97,(0,3)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=36\",\"Find(3)=3, Find(4)=1, Add (3,4)=41 Succeeded, w=77\",\"Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=77\",\"Find(0)=0, Find(2)=1, Add (0,2)=79 Succeeded, w=156\",\"Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=156\",\"Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=156\",\"Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=156\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=156\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,2,79],[0,3,100],[0,4,92],[1,2,23],[1,3,97],[1,4,13],[2,3,81],[2,4,58],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=13,(1,2)=23,(3,4)=41,(2,4)=58,(0,2)=79,(2,3)=81,(0,1)=86,(0,4)=92,(1,3)=97,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=41 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=58 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(2)=1, Add (0,2)=79 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=86 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=92 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,58],[0,2,36],[0,3,47],[0,4,54],[0,5,50],[0,6,79],[1,3,86],[1,4,98],[1,5,85],[1,6,89],[2,3,62],[2,4,68],[2,5,25],[2,6,22],[3,6,50],[4,6,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,36],[0,3,47],[0,4,54],[0,5,50],[0,6,79],[1,3,86],[1,4,98],[1,5,85],[1,6,89],[2,3,62],[2,4,68],[2,5,25],[2,6,22],[3,6,50],[4,6,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,36],[0,3,47],[0,4,54],[0,5,50],[0,6,79],[1,3,86],[1,4,98],[1,5,85],[1,6,89],[2,3,62],[2,4,68],[2,5,25],[2,6,22],[3,6,50],[4,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (2,6)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,36],[0,3,47],[0,4,54],[0,5,50],[0,6,79],[1,3,86],[1,4,98],[1,5,85],[1,6,89],[2,3,62],[2,4,68],[2,5,25],[2,6,22],[3,6,50],[4,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=14, w=14\",\"Add (2,6)=22, w=36\",\"Add (2,5)=25, w=61\",\"Add (0,2)=36, w=97\",\"Add (0,3)=47, w=144\",\"Add (0,1)=58, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,36],[0,3,47],[0,4,54],[0,5,50],[0,6,79],[1,3,86],[1,4,98],[1,5,85],[1,6,89],[2,3,62],[2,4,68],[2,5,25],[2,6,22],[3,6,50],[4,6,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=14 Succeeded, w=14\",\"Add (2,6)=22 Succeeded, w=36\",\"Add (2,5)=25 Succeeded, w=61\",\"Add (0,2)=36 Succeeded, w=97\",\"Add (0,3)=47 Succeeded, w=144\",\"Add (0,5)=50 Failed, w=144\",\"Add (3,6)=50 Failed, w=144\",\"Add (0,4)=54 Failed, w=144\",\"Add (0,1)=58 Succeeded, w=202\",\"Add (2,3)=62 Failed, w=202\",\"Add (2,4)=68 Failed, w=202\",\"Add (0,6)=79 Failed, w=202\",\"Add (1,5)=85 Failed, w=202\",\"Add (1,3)=86 Failed, w=202\",\"Add (1,6)=89 Failed, w=202\",\"Add (1,4)=98 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,36],[0,3,47],[0,4,54],[0,5,50],[0,6,79],[1,3,86],[1,4,98],[1,5,85],[1,6,89],[2,3,62],[2,4,68],[2,5,25],[2,6,22],[3,6,50],[4,6,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=14,(2,6)=22,(2,5)=25,(0,2)=36,(0,3)=47,(0,5)=50,(3,6)=50,(0,4)=54,(0,1)=58,(2,3)=62,(2,4)=68,(0,6)=79,(1,5)=85,(1,3)=86,(1,6)=89,(1,4)=98]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=14 Succeeded, w=14\",\"Find(2)=2, Find(6)=4, Add (2,6)=22 Succeeded, w=36\",\"Find(2)=4, Find(5)=5, Add (2,5)=25 Succeeded, w=61\",\"Find(0)=0, Find(2)=4, Add (0,2)=36 Succeeded, w=97\",\"Find(0)=4, Find(3)=3, Add (0,3)=47 Succeeded, w=144\",\"Find(0)=4, Find(5)=4, Add (0,5)=50 Failed, w=144\",\"Find(3)=4, Find(6)=4, Add (3,6)=50 Failed, w=144\",\"Find(0)=4, Find(4)=4, Add (0,4)=54 Failed, w=144\",\"Find(0)=4, Find(1)=1, Add (0,1)=58 Succeeded, w=202\",\"Find(2)=4, Find(3)=4, Add (2,3)=62 Failed, w=202\",\"Find(2)=4, Find(4)=4, Add (2,4)=68 Failed, w=202\",\"Find(0)=4, Find(6)=4, Add (0,6)=79 Failed, w=202\",\"Find(1)=4, Find(5)=4, Add (1,5)=85 Failed, w=202\",\"Find(1)=4, Find(3)=4, Add (1,3)=86 Failed, w=202\",\"Find(1)=4, Find(6)=4, Add (1,6)=89 Failed, w=202\",\"Find(1)=4, Find(4)=4, Add (1,4)=98 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,58],[0,2,36],[0,3,47],[0,4,54],[0,5,50],[0,6,79],[1,3,86],[1,4,98],[1,5,85],[1,6,89],[2,3,62],[2,4,68],[2,5,25],[2,6,22],[3,6,50],[4,6,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=14,(2,6)=22,(2,5)=25,(0,2)=36,(0,3)=47,(0,5)=50,(3,6)=50,(0,4)=54,(0,1)=58,(2,3)=62,(2,4)=68,(0,6)=79,(1,5)=85,(1,3)=86,(1,6)=89,(1,4)=98]\",\"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)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 5, 6: 4}, Find(2)=2, Find(6)=4, Add (2,6)=22 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=5, Add (2,5)=25 Succeeded, w=61\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(0)=0, Find(2)=4, Add (0,2)=36 Succeeded, w=97\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=3, Add (0,3)=47 Succeeded, w=144\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=50 Failed, w=144\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=50 Failed, w=144\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=54 Failed, w=144\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=1, Add (0,1)=58 Succeeded, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=62 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=68 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=79 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=85 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=86 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=89 Failed, w=202\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=98 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,30],[0,2,84],[0,3,18],[0,4,11],[1,3,21],[1,4,13],[2,3,35],[2,4,32],[3,4,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,84],[0,3,18],[0,4,11],[1,3,21],[1,4,13],[2,3,35],[2,4,32],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,84],[0,3,18],[0,4,11],[1,3,21],[1,4,13],[2,3,35],[2,4,32],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,84],[0,3,18],[0,4,11],[1,3,21],[1,4,13],[2,3,35],[2,4,32],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11, w=11\",\"Add (1,4)=13, w=24\",\"Add (0,3)=18, w=42\",\"Add (2,4)=32, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,84],[0,3,18],[0,4,11],[1,3,21],[1,4,13],[2,3,35],[2,4,32],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=11 Succeeded, w=11\",\"Add (1,4)=13 Succeeded, w=24\",\"Add (0,3)=18 Succeeded, w=42\",\"Add (1,3)=21 Failed, w=42\",\"Add (0,1)=30 Failed, w=42\",\"Add (2,4)=32 Succeeded, w=74\",\"Add (2,3)=35 Failed, w=74\",\"Add (3,4)=71 Failed, w=74\",\"Add (0,2)=84 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,84],[0,3,18],[0,4,11],[1,3,21],[1,4,13],[2,3,35],[2,4,32],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(1,4)=13,(0,3)=18,(1,3)=21,(0,1)=30,(2,4)=32,(2,3)=35,(3,4)=71,(0,2)=84]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=24\",\"Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=42\",\"Find(1)=0, Find(3)=0, Add (1,3)=21 Failed, w=42\",\"Find(0)=0, Find(1)=0, Add (0,1)=30 Failed, w=42\",\"Find(2)=2, Find(4)=0, Add (2,4)=32 Succeeded, w=74\",\"Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=74\",\"Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=74\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,30],[0,2,84],[0,3,18],[0,4,11],[1,3,21],[1,4,13],[2,3,35],[2,4,32],[3,4,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=11,(1,4)=13,(0,3)=18,(1,3)=21,(0,1)=30,(2,4)=32,(2,3)=35,(3,4)=71,(0,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=18 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=21 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=30 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=32 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=35 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=71 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,76],[0,5,80],[0,6,93],[0,7,24],[1,2,45],[1,3,31],[1,4,51],[2,4,71],[2,5,90],[2,6,8],[3,4,74],[3,5,82],[4,5,93],[4,6,8],[5,6,59],[6,7,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,5,80],[0,6,93],[0,7,24],[1,2,45],[1,3,31],[1,4,51],[2,4,71],[2,5,90],[2,6,8],[3,4,74],[3,5,82],[4,5,93],[4,6,8],[5,6,59],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,5,80],[0,6,93],[0,7,24],[1,2,45],[1,3,31],[1,4,51],[2,4,71],[2,5,90],[2,6,8],[3,4,74],[3,5,82],[4,5,93],[4,6,8],[5,6,59],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (4,6)\",\"Add (0,7)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (5,6)\",\"Add (0,1)\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,5,80],[0,6,93],[0,7,24],[1,2,45],[1,3,31],[1,4,51],[2,4,71],[2,5,90],[2,6,8],[3,4,74],[3,5,82],[4,5,93],[4,6,8],[5,6,59],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=8, w=8\",\"Add (4,6)=8, w=16\",\"Add (0,7)=24, w=40\",\"Add (1,3)=31, w=71\",\"Add (1,2)=45, w=116\",\"Add (5,6)=59, w=175\",\"Add (0,1)=76, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,5,80],[0,6,93],[0,7,24],[1,2,45],[1,3,31],[1,4,51],[2,4,71],[2,5,90],[2,6,8],[3,4,74],[3,5,82],[4,5,93],[4,6,8],[5,6,59],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=8 Succeeded, w=8\",\"Add (4,6)=8 Succeeded, w=16\",\"Add (0,7)=24 Succeeded, w=40\",\"Add (1,3)=31 Succeeded, w=71\",\"Add (1,2)=45 Succeeded, w=116\",\"Add (1,4)=51 Failed, w=116\",\"Add (5,6)=59 Succeeded, w=175\",\"Add (2,4)=71 Failed, w=175\",\"Add (3,4)=74 Failed, w=175\",\"Add (0,1)=76 Succeeded, w=251\",\"Add (0,5)=80 Failed, w=251\",\"Add (3,5)=82 Failed, w=251\",\"Add (6,7)=83 Failed, w=251\",\"Add (2,5)=90 Failed, w=251\",\"Add (0,6)=93 Failed, w=251\",\"Add (4,5)=93 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,5,80],[0,6,93],[0,7,24],[1,2,45],[1,3,31],[1,4,51],[2,4,71],[2,5,90],[2,6,8],[3,4,74],[3,5,82],[4,5,93],[4,6,8],[5,6,59],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=8,(4,6)=8,(0,7)=24,(1,3)=31,(1,2)=45,(1,4)=51,(5,6)=59,(2,4)=71,(3,4)=74,(0,1)=76,(0,5)=80,(3,5)=82,(6,7)=83,(2,5)=90,(0,6)=93,(4,5)=93]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=8\",\"Find(4)=4, Find(6)=2, Add (4,6)=8 Succeeded, w=16\",\"Find(0)=0, Find(7)=7, Add (0,7)=24 Succeeded, w=40\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=71\",\"Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=116\",\"Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=116\",\"Find(5)=5, Find(6)=1, Add (5,6)=59 Succeeded, w=175\",\"Find(2)=1, Find(4)=1, Add (2,4)=71 Failed, w=175\",\"Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=175\",\"Find(0)=0, Find(1)=1, Add (0,1)=76 Succeeded, w=251\",\"Find(0)=1, Find(5)=1, Add (0,5)=80 Failed, w=251\",\"Find(3)=1, Find(5)=1, Add (3,5)=82 Failed, w=251\",\"Find(6)=1, Find(7)=1, Add (6,7)=83 Failed, w=251\",\"Find(2)=1, Find(5)=1, Add (2,5)=90 Failed, w=251\",\"Find(0)=1, Find(6)=1, Add (0,6)=93 Failed, w=251\",\"Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,76],[0,5,80],[0,6,93],[0,7,24],[1,2,45],[1,3,31],[1,4,51],[2,4,71],[2,5,90],[2,6,8],[3,4,74],[3,5,82],[4,5,93],[4,6,8],[5,6,59],[6,7,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=8,(4,6)=8,(0,7)=24,(1,3)=31,(1,2)=45,(1,4)=51,(5,6)=59,(2,4)=71,(3,4)=74,(0,1)=76,(0,5)=80,(3,5)=82,(6,7)=83,(2,5)=90,(0,6)=93,(4,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 7}, Find(4)=4, Find(6)=2, Add (4,6)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 2, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=24 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 2, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 2, 5: 5, 6: 2, 7: 0}, Find(1)=1, Find(2)=2, Add (1,2)=45 Succeeded, w=116\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 2, 7: 0}, Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=116\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(5)=5, Find(6)=1, Add (5,6)=59 Succeeded, w=175\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(2)=1, Find(4)=1, Add (2,4)=71 Failed, w=175\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(3)=1, Find(4)=1, Add (3,4)=74 Failed, w=175\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(0)=0, Find(1)=1, Add (0,1)=76 Succeeded, w=251\",\"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)=80 Failed, w=251\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 0}, Find(3)=1, Find(5)=1, Add (3,5)=82 Failed, w=251\",\"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)=83 Failed, w=251\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=90 Failed, w=251\",\"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)=93 Failed, w=251\",\"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)=93 Failed, w=251\"],\"Answer\":251}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,35],[0,2,75],[0,3,12],[0,4,79],[1,3,79],[1,4,57],[2,3,2],[2,4,41],[3,4,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,75],[0,3,12],[0,4,79],[1,3,79],[1,4,57],[2,3,2],[2,4,41],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,75],[0,3,12],[0,4,79],[1,3,79],[1,4,57],[2,3,2],[2,4,41],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,75],[0,3,12],[0,4,79],[1,3,79],[1,4,57],[2,3,2],[2,4,41],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2, w=2\",\"Add (3,4)=8, w=10\",\"Add (0,3)=12, w=22\",\"Add (0,1)=35, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,75],[0,3,12],[0,4,79],[1,3,79],[1,4,57],[2,3,2],[2,4,41],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=2 Succeeded, w=2\",\"Add (3,4)=8 Succeeded, w=10\",\"Add (0,3)=12 Succeeded, w=22\",\"Add (0,1)=35 Succeeded, w=57\",\"Add (2,4)=41 Failed, w=57\",\"Add (1,4)=57 Failed, w=57\",\"Add (0,2)=75 Failed, w=57\",\"Add (0,4)=79 Failed, w=57\",\"Add (1,3)=79 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,75],[0,3,12],[0,4,79],[1,3,79],[1,4,57],[2,3,2],[2,4,41],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(3,4)=8,(0,3)=12,(0,1)=35,(2,4)=41,(1,4)=57,(0,2)=75,(0,4)=79,(1,3)=79]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Find(3)=2, Find(4)=4, Add (3,4)=8 Succeeded, w=10\",\"Find(0)=0, Find(3)=2, Add (0,3)=12 Succeeded, w=22\",\"Find(0)=2, Find(1)=1, Add (0,1)=35 Succeeded, w=57\",\"Find(2)=2, Find(4)=2, Add (2,4)=41 Failed, w=57\",\"Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=57\",\"Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=57\",\"Find(0)=2, Find(4)=2, Add (0,4)=79 Failed, w=57\",\"Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,75],[0,3,12],[0,4,79],[1,3,79],[1,4,57],[2,3,2],[2,4,41],[3,4,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=2,(3,4)=8,(0,3)=12,(0,1)=35,(2,4)=41,(1,4)=57,(0,2)=75,(0,4)=79,(1,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=8 Succeeded, w=10\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(3)=2, Add (0,3)=12 Succeeded, w=22\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=35 Succeeded, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=41 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=57 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=75 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=79 Failed, w=57\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=79 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,10],[0,4,81],[1,3,68],[1,4,93],[2,4,3]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,10],[0,4,81],[1,3,68],[1,4,93],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,10],[0,4,81],[1,3,68],[1,4,93],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,10],[0,4,81],[1,3,68],[1,4,93],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (0,3)=10, w=13\",\"Add (1,3)=68, w=81\",\"Add (0,4)=81, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,10],[0,4,81],[1,3,68],[1,4,93],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (0,3)=10 Succeeded, w=13\",\"Add (1,3)=68 Succeeded, w=81\",\"Add (0,4)=81 Succeeded, w=162\",\"Add (1,4)=93 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,10],[0,4,81],[1,3,68],[1,4,93],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,3)=10,(1,3)=68,(0,4)=81,(1,4)=93]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=13\",\"Find(1)=1, Find(3)=0, Add (1,3)=68 Succeeded, w=81\",\"Find(0)=0, Find(4)=2, Add (0,4)=81 Succeeded, w=162\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,10],[0,4,81],[1,3,68],[1,4,93],[2,4,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(0,3)=10,(1,3)=68,(0,4)=81,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=10 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(3)=0, Add (1,3)=68 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=81 Succeeded, w=162\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=162\"],\"Answer\":162}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,61],[0,2,45],[0,4,31],[1,2,32],[1,3,58],[1,4,4],[2,3,63],[2,4,29],[3,4,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,45],[0,4,31],[1,2,32],[1,3,58],[1,4,4],[2,3,63],[2,4,29],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,45],[0,4,31],[1,2,32],[1,3,58],[1,4,4],[2,3,63],[2,4,29],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,45],[0,4,31],[1,2,32],[1,3,58],[1,4,4],[2,3,63],[2,4,29],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (2,4)=29, w=33\",\"Add (0,4)=31, w=64\",\"Add (3,4)=36, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,45],[0,4,31],[1,2,32],[1,3,58],[1,4,4],[2,3,63],[2,4,29],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (2,4)=29 Succeeded, w=33\",\"Add (0,4)=31 Succeeded, w=64\",\"Add (1,2)=32 Failed, w=64\",\"Add (3,4)=36 Succeeded, w=100\",\"Add (0,2)=45 Failed, w=100\",\"Add (1,3)=58 Failed, w=100\",\"Add (0,1)=61 Failed, w=100\",\"Add (2,3)=63 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,45],[0,4,31],[1,2,32],[1,3,58],[1,4,4],[2,3,63],[2,4,29],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(2,4)=29,(0,4)=31,(1,2)=32,(3,4)=36,(0,2)=45,(1,3)=58,(0,1)=61,(2,3)=63]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(4)=1, Add (2,4)=29 Succeeded, w=33\",\"Find(0)=0, Find(4)=1, Add (0,4)=31 Succeeded, w=64\",\"Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=64\",\"Find(3)=3, Find(4)=1, Add (3,4)=36 Succeeded, w=100\",\"Find(0)=1, Find(2)=1, Add (0,2)=45 Failed, w=100\",\"Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=100\",\"Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=100\",\"Find(2)=1, Find(3)=1, Add (2,3)=63 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,2,45],[0,4,31],[1,2,32],[1,3,58],[1,4,4],[2,3,63],[2,4,29],[3,4,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(2,4)=29,(0,4)=31,(1,2)=32,(3,4)=36,(0,2)=45,(1,3)=58,(0,1)=61,(2,3)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=29 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=31 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=32 Failed, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=36 Succeeded, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=45 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=61 Failed, w=100\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=63 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,17],[0,5,4],[1,2,84],[1,3,79],[1,4,73],[1,5,65],[2,3,4],[2,4,68],[2,5,87],[3,4,10],[4,5,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,17],[0,5,4],[1,2,84],[1,3,79],[1,4,73],[1,5,65],[2,3,4],[2,4,68],[2,5,87],[3,4,10],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,17],[0,5,4],[1,2,84],[1,3,79],[1,4,73],[1,5,65],[2,3,4],[2,4,68],[2,5,87],[3,4,10],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,3)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,17],[0,5,4],[1,2,84],[1,3,79],[1,4,73],[1,5,65],[2,3,4],[2,4,68],[2,5,87],[3,4,10],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4, w=4\",\"Add (2,3)=4, w=8\",\"Add (3,4)=10, w=18\",\"Add (0,2)=17, w=35\",\"Add (1,5)=65, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,17],[0,5,4],[1,2,84],[1,3,79],[1,4,73],[1,5,65],[2,3,4],[2,4,68],[2,5,87],[3,4,10],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=4 Succeeded, w=4\",\"Add (2,3)=4 Succeeded, w=8\",\"Add (3,4)=10 Succeeded, w=18\",\"Add (0,2)=17 Succeeded, w=35\",\"Add (4,5)=50 Failed, w=35\",\"Add (1,5)=65 Succeeded, w=100\",\"Add (2,4)=68 Failed, w=100\",\"Add (1,4)=73 Failed, w=100\",\"Add (1,3)=79 Failed, w=100\",\"Add (1,2)=84 Failed, w=100\",\"Add (2,5)=87 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,17],[0,5,4],[1,2,84],[1,3,79],[1,4,73],[1,5,65],[2,3,4],[2,4,68],[2,5,87],[3,4,10],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(2,3)=4,(3,4)=10,(0,2)=17,(4,5)=50,(1,5)=65,(2,4)=68,(1,4)=73,(1,3)=79,(1,2)=84,(2,5)=87]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=8\",\"Find(3)=2, Find(4)=4, Add (3,4)=10 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=35\",\"Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=35\",\"Find(1)=1, Find(5)=0, Add (1,5)=65 Succeeded, w=100\",\"Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=100\",\"Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=100\",\"Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=100\",\"Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,17],[0,5,4],[1,2,84],[1,3,79],[1,4,73],[1,5,65],[2,3,4],[2,4,68],[2,5,87],[3,4,10],[4,5,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=4,(2,3)=4,(3,4)=10,(0,2)=17,(4,5)=50,(1,5)=65,(2,4)=68,(1,4)=73,(1,3)=79,(1,2)=84,(2,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0}, Find(3)=2, Find(4)=4, Add (3,4)=10 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 2, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=50 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=65 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=73 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=79 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=87 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,2,5],[0,3,50],[0,6,4],[1,3,44],[1,4,72],[1,5,76],[1,6,99],[2,3,95],[2,5,29],[2,6,23],[3,4,41],[3,5,76],[3,6,11],[4,5,44],[5,6,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,5],[0,3,50],[0,6,4],[1,3,44],[1,4,72],[1,5,76],[1,6,99],[2,3,95],[2,5,29],[2,6,23],[3,4,41],[3,5,76],[3,6,11],[4,5,44],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,5],[0,3,50],[0,6,4],[1,3,44],[1,4,72],[1,5,76],[1,6,99],[2,3,95],[2,5,29],[2,6,23],[3,4,41],[3,5,76],[3,6,11],[4,5,44],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,2)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,3)\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,5],[0,3,50],[0,6,4],[1,3,44],[1,4,72],[1,5,76],[1,6,99],[2,3,95],[2,5,29],[2,6,23],[3,4,41],[3,5,76],[3,6,11],[4,5,44],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4, w=4\",\"Add (0,2)=5, w=9\",\"Add (3,6)=11, w=20\",\"Add (2,5)=29, w=49\",\"Add (3,4)=41, w=90\",\"Add (1,3)=44, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,5],[0,3,50],[0,6,4],[1,3,44],[1,4,72],[1,5,76],[1,6,99],[2,3,95],[2,5,29],[2,6,23],[3,4,41],[3,5,76],[3,6,11],[4,5,44],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=4 Succeeded, w=4\",\"Add (0,2)=5 Succeeded, w=9\",\"Add (3,6)=11 Succeeded, w=20\",\"Add (2,6)=23 Failed, w=20\",\"Add (2,5)=29 Succeeded, w=49\",\"Add (3,4)=41 Succeeded, w=90\",\"Add (1,3)=44 Succeeded, w=134\",\"Add (4,5)=44 Failed, w=134\",\"Add (0,3)=50 Failed, w=134\",\"Add (1,4)=72 Failed, w=134\",\"Add (1,5)=76 Failed, w=134\",\"Add (3,5)=76 Failed, w=134\",\"Add (0,1)=95 Failed, w=134\",\"Add (2,3)=95 Failed, w=134\",\"Add (1,6)=99 Failed, w=134\",\"Add (5,6)=99 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,5],[0,3,50],[0,6,4],[1,3,44],[1,4,72],[1,5,76],[1,6,99],[2,3,95],[2,5,29],[2,6,23],[3,4,41],[3,5,76],[3,6,11],[4,5,44],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(0,2)=5,(3,6)=11,(2,6)=23,(2,5)=29,(3,4)=41,(1,3)=44,(4,5)=44,(0,3)=50,(1,4)=72,(1,5)=76,(3,5)=76,(0,1)=95,(2,3)=95,(1,6)=99,(5,6)=99]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=9\",\"Find(3)=3, Find(6)=0, Add (3,6)=11 Succeeded, w=20\",\"Find(2)=0, Find(6)=0, Add (2,6)=23 Failed, w=20\",\"Find(2)=0, Find(5)=5, Add (2,5)=29 Succeeded, w=49\",\"Find(3)=0, Find(4)=4, Add (3,4)=41 Succeeded, w=90\",\"Find(1)=1, Find(3)=0, Add (1,3)=44 Succeeded, w=134\",\"Find(4)=0, Find(5)=0, Add (4,5)=44 Failed, w=134\",\"Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=134\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=134\",\"Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=134\",\"Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=134\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=134\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=134\",\"Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=134\",\"Find(5)=0, Find(6)=0, Add (5,6)=99 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,2,5],[0,3,50],[0,6,4],[1,3,44],[1,4,72],[1,5,76],[1,6,99],[2,3,95],[2,5,29],[2,6,23],[3,4,41],[3,5,76],[3,6,11],[4,5,44],[5,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=4,(0,2)=5,(3,6)=11,(2,6)=23,(2,5)=29,(3,4)=41,(1,3)=44,(4,5)=44,(0,3)=50,(1,4)=72,(1,5)=76,(3,5)=76,(0,1)=95,(2,3)=95,(1,6)=99,(5,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=11 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=23 Failed, w=20\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=29 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=4, Add (3,4)=41 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=1, Find(3)=0, Add (1,3)=44 Succeeded, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=44 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=50 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=76 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=76 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=99 Failed, w=134\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=99 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,10],[0,2,68],[0,3,97],[0,4,17],[0,5,19],[1,2,63],[1,3,49],[1,4,20],[1,5,24],[2,3,41],[2,4,63],[2,5,42],[3,4,68],[3,5,28],[4,5,82]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,68],[0,3,97],[0,4,17],[0,5,19],[1,2,63],[1,3,49],[1,4,20],[1,5,24],[2,3,41],[2,4,63],[2,5,42],[3,4,68],[3,5,28],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,68],[0,3,97],[0,4,17],[0,5,19],[1,2,63],[1,3,49],[1,4,20],[1,5,24],[2,3,41],[2,4,63],[2,5,42],[3,4,68],[3,5,28],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,3)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,68],[0,3,97],[0,4,17],[0,5,19],[1,2,63],[1,3,49],[1,4,20],[1,5,24],[2,3,41],[2,4,63],[2,5,42],[3,4,68],[3,5,28],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (0,4)=17, w=27\",\"Add (0,5)=19, w=46\",\"Add (3,5)=28, w=74\",\"Add (2,3)=41, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,68],[0,3,97],[0,4,17],[0,5,19],[1,2,63],[1,3,49],[1,4,20],[1,5,24],[2,3,41],[2,4,63],[2,5,42],[3,4,68],[3,5,28],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (0,4)=17 Succeeded, w=27\",\"Add (0,5)=19 Succeeded, w=46\",\"Add (1,4)=20 Failed, w=46\",\"Add (1,5)=24 Failed, w=46\",\"Add (3,5)=28 Succeeded, w=74\",\"Add (2,3)=41 Succeeded, w=115\",\"Add (2,5)=42 Failed, w=115\",\"Add (1,3)=49 Failed, w=115\",\"Add (1,2)=63 Failed, w=115\",\"Add (2,4)=63 Failed, w=115\",\"Add (0,2)=68 Failed, w=115\",\"Add (3,4)=68 Failed, w=115\",\"Add (4,5)=82 Failed, w=115\",\"Add (0,3)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,68],[0,3,97],[0,4,17],[0,5,19],[1,2,63],[1,3,49],[1,4,20],[1,5,24],[2,3,41],[2,4,63],[2,5,42],[3,4,68],[3,5,28],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(0,4)=17,(0,5)=19,(1,4)=20,(1,5)=24,(3,5)=28,(2,3)=41,(2,5)=42,(1,3)=49,(1,2)=63,(2,4)=63,(0,2)=68,(3,4)=68,(4,5)=82,(0,3)=97]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=27\",\"Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=46\",\"Find(1)=0, Find(4)=0, Add (1,4)=20 Failed, w=46\",\"Find(1)=0, Find(5)=0, Add (1,5)=24 Failed, w=46\",\"Find(3)=3, Find(5)=0, Add (3,5)=28 Succeeded, w=74\",\"Find(2)=2, Find(3)=0, Add (2,3)=41 Succeeded, w=115\",\"Find(2)=0, Find(5)=0, Add (2,5)=42 Failed, w=115\",\"Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=115\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=115\",\"Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=115\",\"Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=115\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=115\",\"Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=115\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,10],[0,2,68],[0,3,97],[0,4,17],[0,5,19],[1,2,63],[1,3,49],[1,4,20],[1,5,24],[2,3,41],[2,4,63],[2,5,42],[3,4,68],[3,5,28],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(0,4)=17,(0,5)=19,(1,4)=20,(1,5)=24,(3,5)=28,(2,3)=41,(2,5)=42,(1,3)=49,(1,2)=63,(2,4)=63,(0,2)=68,(3,4)=68,(4,5)=82,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=19 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=20 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=24 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=28 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=41 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=42 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=49 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=63 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=68 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,45],[0,4,71],[0,5,31],[1,2,39],[1,4,51],[1,5,87],[2,3,60],[2,4,50],[2,5,81],[2,6,1],[3,4,27],[3,6,46],[5,6,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,4,71],[0,5,31],[1,2,39],[1,4,51],[1,5,87],[2,3,60],[2,4,50],[2,5,81],[2,6,1],[3,4,27],[3,6,46],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,4,71],[0,5,31],[1,2,39],[1,4,51],[1,5,87],[2,3,60],[2,4,50],[2,5,81],[2,6,1],[3,4,27],[3,6,46],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (3,4)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (1,2)\",\"Add (3,6)\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,4,71],[0,5,31],[1,2,39],[1,4,51],[1,5,87],[2,3,60],[2,4,50],[2,5,81],[2,6,1],[3,4,27],[3,6,46],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1, w=1\",\"Add (3,4)=27, w=28\",\"Add (0,5)=31, w=59\",\"Add (5,6)=31, w=90\",\"Add (1,2)=39, w=129\",\"Add (3,6)=46, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,4,71],[0,5,31],[1,2,39],[1,4,51],[1,5,87],[2,3,60],[2,4,50],[2,5,81],[2,6,1],[3,4,27],[3,6,46],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=1 Succeeded, w=1\",\"Add (3,4)=27 Succeeded, w=28\",\"Add (0,5)=31 Succeeded, w=59\",\"Add (5,6)=31 Succeeded, w=90\",\"Add (1,2)=39 Succeeded, w=129\",\"Add (0,2)=45 Failed, w=129\",\"Add (3,6)=46 Succeeded, w=175\",\"Add (2,4)=50 Failed, w=175\",\"Add (1,4)=51 Failed, w=175\",\"Add (2,3)=60 Failed, w=175\",\"Add (0,4)=71 Failed, w=175\",\"Add (2,5)=81 Failed, w=175\",\"Add (1,5)=87 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,4,71],[0,5,31],[1,2,39],[1,4,51],[1,5,87],[2,3,60],[2,4,50],[2,5,81],[2,6,1],[3,4,27],[3,6,46],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(3,4)=27,(0,5)=31,(5,6)=31,(1,2)=39,(0,2)=45,(3,6)=46,(2,4)=50,(1,4)=51,(2,3)=60,(0,4)=71,(2,5)=81,(1,5)=87]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=28\",\"Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=59\",\"Find(5)=0, Find(6)=2, Add (5,6)=31 Succeeded, w=90\",\"Find(1)=1, Find(2)=0, Add (1,2)=39 Succeeded, w=129\",\"Find(0)=0, Find(2)=0, Add (0,2)=45 Failed, w=129\",\"Find(3)=3, Find(6)=0, Add (3,6)=46 Succeeded, w=175\",\"Find(2)=0, Find(4)=0, Add (2,4)=50 Failed, w=175\",\"Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=175\",\"Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=175\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=175\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=175\",\"Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,45],[0,4,71],[0,5,31],[1,2,39],[1,4,51],[1,5,87],[2,3,60],[2,4,50],[2,5,81],[2,6,1],[3,4,27],[3,6,46],[5,6,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=1,(3,4)=27,(0,5)=31,(5,6)=31,(1,2)=39,(0,2)=45,(3,6)=46,(2,4)=50,(1,4)=51,(2,3)=60,(0,4)=71,(2,5)=81,(1,5)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2}, Find(3)=3, Find(4)=4, Add (3,4)=27 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 0, 6: 2}, Find(0)=0, Find(5)=5, Add (0,5)=31 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 2}, Find(5)=0, Find(6)=2, Add (5,6)=31 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 2}, Find(1)=1, Find(2)=0, Add (1,2)=39 Succeeded, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 0, 6: 2}, Find(0)=0, Find(2)=0, Add (0,2)=45 Failed, w=129\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=46 Succeeded, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=50 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=51 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=60 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=175\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=87 Failed, w=175\"],\"Answer\":175}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,43],[0,2,51],[1,2,97],[1,4,58],[2,4,60],[2,5,8],[3,4,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,51],[1,2,97],[1,4,58],[2,4,60],[2,5,8],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,51],[1,2,97],[1,4,58],[2,4,60],[2,5,8],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,51],[1,2,97],[1,4,58],[2,4,60],[2,5,8],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8, w=8\",\"Add (0,1)=43, w=51\",\"Add (0,2)=51, w=102\",\"Add (1,4)=58, w=160\",\"Add (3,4)=63, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,51],[1,2,97],[1,4,58],[2,4,60],[2,5,8],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8 Succeeded, w=8\",\"Add (0,1)=43 Succeeded, w=51\",\"Add (0,2)=51 Succeeded, w=102\",\"Add (1,4)=58 Succeeded, w=160\",\"Add (2,4)=60 Failed, w=160\",\"Add (3,4)=63 Succeeded, w=223\",\"Add (1,2)=97 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,51],[1,2,97],[1,4,58],[2,4,60],[2,5,8],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(0,1)=43,(0,2)=51,(1,4)=58,(2,4)=60,(3,4)=63,(1,2)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=51\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=102\",\"Find(1)=0, Find(4)=4, Add (1,4)=58 Succeeded, w=160\",\"Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=160\",\"Find(3)=3, Find(4)=0, Add (3,4)=63 Succeeded, w=223\",\"Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,51],[1,2,97],[1,4,58],[2,4,60],[2,5,8],[3,4,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(0,1)=43,(0,2)=51,(1,4)=58,(2,4)=60,(3,4)=63,(1,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2}, Find(1)=0, Find(4)=4, Add (1,4)=58 Succeeded, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2}, Find(2)=0, Find(4)=0, Add (2,4)=60 Failed, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(3)=3, Find(4)=0, Add (3,4)=63 Succeeded, w=223\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=97 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,24],[0,2,52],[0,3,78],[0,4,35],[0,5,90],[0,6,50],[1,2,84],[1,4,21],[1,5,73],[1,6,86],[2,3,77],[2,4,6],[2,5,93],[2,6,20],[3,4,8],[3,5,53],[3,6,36],[4,5,87],[4,6,78],[5,6,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,52],[0,3,78],[0,4,35],[0,5,90],[0,6,50],[1,2,84],[1,4,21],[1,5,73],[1,6,86],[2,3,77],[2,4,6],[2,5,93],[2,6,20],[3,4,8],[3,5,53],[3,6,36],[4,5,87],[4,6,78],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,52],[0,3,78],[0,4,35],[0,5,90],[0,6,50],[1,2,84],[1,4,21],[1,5,73],[1,6,86],[2,3,77],[2,4,6],[2,5,93],[2,6,20],[3,4,8],[3,5,53],[3,6,36],[4,5,87],[4,6,78],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,52],[0,3,78],[0,4,35],[0,5,90],[0,6,50],[1,2,84],[1,4,21],[1,5,73],[1,6,86],[2,3,77],[2,4,6],[2,5,93],[2,6,20],[3,4,8],[3,5,53],[3,6,36],[4,5,87],[4,6,78],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0, w=0\",\"Add (2,4)=6, w=6\",\"Add (3,4)=8, w=14\",\"Add (2,6)=20, w=34\",\"Add (1,4)=21, w=55\",\"Add (0,1)=24, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,52],[0,3,78],[0,4,35],[0,5,90],[0,6,50],[1,2,84],[1,4,21],[1,5,73],[1,6,86],[2,3,77],[2,4,6],[2,5,93],[2,6,20],[3,4,8],[3,5,53],[3,6,36],[4,5,87],[4,6,78],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (5,6)=0 Succeeded, w=0\",\"Add (2,4)=6 Succeeded, w=6\",\"Add (3,4)=8 Succeeded, w=14\",\"Add (2,6)=20 Succeeded, w=34\",\"Add (1,4)=21 Succeeded, w=55\",\"Add (0,1)=24 Succeeded, w=79\",\"Add (0,4)=35 Failed, w=79\",\"Add (3,6)=36 Failed, w=79\",\"Add (0,6)=50 Failed, w=79\",\"Add (0,2)=52 Failed, w=79\",\"Add (3,5)=53 Failed, w=79\",\"Add (1,5)=73 Failed, w=79\",\"Add (2,3)=77 Failed, w=79\",\"Add (0,3)=78 Failed, w=79\",\"Add (4,6)=78 Failed, w=79\",\"Add (1,2)=84 Failed, w=79\",\"Add (1,6)=86 Failed, w=79\",\"Add (4,5)=87 Failed, w=79\",\"Add (0,5)=90 Failed, w=79\",\"Add (2,5)=93 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,52],[0,3,78],[0,4,35],[0,5,90],[0,6,50],[1,2,84],[1,4,21],[1,5,73],[1,6,86],[2,3,77],[2,4,6],[2,5,93],[2,6,20],[3,4,8],[3,5,53],[3,6,36],[4,5,87],[4,6,78],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(2,4)=6,(3,4)=8,(2,6)=20,(1,4)=21,(0,1)=24,(0,4)=35,(3,6)=36,(0,6)=50,(0,2)=52,(3,5)=53,(1,5)=73,(2,3)=77,(0,3)=78,(4,6)=78,(1,2)=84,(1,6)=86,(4,5)=87,(0,5)=90,(2,5)=93]\",\"Process\":[\"Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(3)=3, Find(4)=2, Add (3,4)=8 Succeeded, w=14\",\"Find(2)=2, Find(6)=5, Add (2,6)=20 Succeeded, w=34\",\"Find(1)=1, Find(4)=2, Add (1,4)=21 Succeeded, w=55\",\"Find(0)=0, Find(1)=2, Add (0,1)=24 Succeeded, w=79\",\"Find(0)=2, Find(4)=2, Add (0,4)=35 Failed, w=79\",\"Find(3)=2, Find(6)=2, Add (3,6)=36 Failed, w=79\",\"Find(0)=2, Find(6)=2, Add (0,6)=50 Failed, w=79\",\"Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=79\",\"Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=79\",\"Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=79\",\"Find(2)=2, Find(3)=2, Add (2,3)=77 Failed, w=79\",\"Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=79\",\"Find(4)=2, Find(6)=2, Add (4,6)=78 Failed, w=79\",\"Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=79\",\"Find(1)=2, Find(6)=2, Add (1,6)=86 Failed, w=79\",\"Find(4)=2, Find(5)=2, Add (4,5)=87 Failed, w=79\",\"Find(0)=2, Find(5)=2, Add (0,5)=90 Failed, w=79\",\"Find(2)=2, Find(5)=2, Add (2,5)=93 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,24],[0,2,52],[0,3,78],[0,4,35],[0,5,90],[0,6,50],[1,2,84],[1,4,21],[1,5,73],[1,6,86],[2,3,77],[2,4,6],[2,5,93],[2,6,20],[3,4,8],[3,5,53],[3,6,36],[4,5,87],[4,6,78],[5,6,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(5,6)=0,(2,4)=6,(3,4)=8,(2,6)=20,(1,4)=21,(0,1)=24,(0,4)=35,(3,6)=36,(0,6)=50,(0,2)=52,(3,5)=53,(1,5)=73,(2,3)=77,(0,3)=78,(4,6)=78,(1,2)=84,(1,6)=86,(4,5)=87,(0,5)=90,(2,5)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5, 6: 5}, Find(3)=3, Find(4)=2, Add (3,4)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(2)=2, Find(6)=5, Add (2,6)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(1)=1, Find(4)=2, Add (1,4)=21 Succeeded, w=55\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(0)=0, Find(1)=2, Add (0,1)=24 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 5}, Find(0)=2, Find(4)=2, Add (0,4)=35 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=36 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=50 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=52 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=53 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=73 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=77 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=78 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=84 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=86 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=87 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=90 Failed, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=93 Failed, w=79\"],\"Answer\":79}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,11],[0,3,13],[0,5,45],[0,6,24],[0,7,23],[1,3,97],[1,4,9],[1,5,83],[2,5,5],[2,6,47],[3,4,90],[3,7,15],[4,6,18],[4,7,63],[5,6,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,13],[0,5,45],[0,6,24],[0,7,23],[1,3,97],[1,4,9],[1,5,83],[2,5,5],[2,6,47],[3,4,90],[3,7,15],[4,6,18],[4,7,63],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,13],[0,5,45],[0,6,24],[0,7,23],[1,3,97],[1,4,9],[1,5,83],[2,5,5],[2,6,47],[3,4,90],[3,7,15],[4,6,18],[4,7,63],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (3,7)\",\"Add (4,6)\",\"Add (0,5)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,13],[0,5,45],[0,6,24],[0,7,23],[1,3,97],[1,4,9],[1,5,83],[2,5,5],[2,6,47],[3,4,90],[3,7,15],[4,6,18],[4,7,63],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5, w=5\",\"Add (1,4)=9, w=14\",\"Add (0,1)=11, w=25\",\"Add (0,3)=13, w=38\",\"Add (3,7)=15, w=53\",\"Add (4,6)=18, w=71\",\"Add (0,5)=45, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,13],[0,5,45],[0,6,24],[0,7,23],[1,3,97],[1,4,9],[1,5,83],[2,5,5],[2,6,47],[3,4,90],[3,7,15],[4,6,18],[4,7,63],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5 Succeeded, w=5\",\"Add (1,4)=9 Succeeded, w=14\",\"Add (0,1)=11 Succeeded, w=25\",\"Add (0,3)=13 Succeeded, w=38\",\"Add (3,7)=15 Succeeded, w=53\",\"Add (4,6)=18 Succeeded, w=71\",\"Add (0,7)=23 Failed, w=71\",\"Add (0,6)=24 Failed, w=71\",\"Add (0,5)=45 Succeeded, w=116\",\"Add (2,6)=47 Failed, w=116\",\"Add (5,6)=49 Failed, w=116\",\"Add (4,7)=63 Failed, w=116\",\"Add (1,5)=83 Failed, w=116\",\"Add (3,4)=90 Failed, w=116\",\"Add (1,3)=97 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,13],[0,5,45],[0,6,24],[0,7,23],[1,3,97],[1,4,9],[1,5,83],[2,5,5],[2,6,47],[3,4,90],[3,7,15],[4,6,18],[4,7,63],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(1,4)=9,(0,1)=11,(0,3)=13,(3,7)=15,(4,6)=18,(0,7)=23,(0,6)=24,(0,5)=45,(2,6)=47,(5,6)=49,(4,7)=63,(1,5)=83,(3,4)=90,(1,3)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=25\",\"Find(0)=1, Find(3)=3, Add (0,3)=13 Succeeded, w=38\",\"Find(3)=1, Find(7)=7, Add (3,7)=15 Succeeded, w=53\",\"Find(4)=1, Find(6)=6, Add (4,6)=18 Succeeded, w=71\",\"Find(0)=1, Find(7)=1, Add (0,7)=23 Failed, w=71\",\"Find(0)=1, Find(6)=1, Add (0,6)=24 Failed, w=71\",\"Find(0)=1, Find(5)=2, Add (0,5)=45 Succeeded, w=116\",\"Find(2)=1, Find(6)=1, Add (2,6)=47 Failed, w=116\",\"Find(5)=1, Find(6)=1, Add (5,6)=49 Failed, w=116\",\"Find(4)=1, Find(7)=1, Add (4,7)=63 Failed, w=116\",\"Find(1)=1, Find(5)=1, Add (1,5)=83 Failed, w=116\",\"Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=116\",\"Find(1)=1, Find(3)=1, Add (1,3)=97 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,11],[0,3,13],[0,5,45],[0,6,24],[0,7,23],[1,3,97],[1,4,9],[1,5,83],[2,5,5],[2,6,47],[3,4,90],[3,7,15],[4,6,18],[4,7,63],[5,6,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(1,4)=9,(0,1)=11,(0,3)=13,(3,7)=15,(4,6)=18,(0,7)=23,(0,6)=24,(0,5)=45,(2,6)=47,(5,6)=49,(4,7)=63,(1,5)=83,(3,4)=90,(1,3)=97]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=9 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6, 7: 7}, Find(0)=1, Find(3)=3, Add (0,3)=13 Succeeded, w=38\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=15 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(4)=1, Find(6)=6, Add (4,6)=18 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=23 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=24 Failed, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(0)=1, Find(5)=2, Add (0,5)=45 Succeeded, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=47 Failed, w=116\",\"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)=49 Failed, w=116\",\"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)=63 Failed, w=116\",\"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)=83 Failed, w=116\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=116\",\"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)=97 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,21],[0,2,22],[0,3,2],[0,4,63],[0,5,12],[0,6,63],[1,2,77],[1,3,39],[1,4,78],[1,5,66],[1,6,25],[2,4,97],[2,5,81],[3,4,24],[3,6,81],[4,5,63],[5,6,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,22],[0,3,2],[0,4,63],[0,5,12],[0,6,63],[1,2,77],[1,3,39],[1,4,78],[1,5,66],[1,6,25],[2,4,97],[2,5,81],[3,4,24],[3,6,81],[4,5,63],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,22],[0,3,2],[0,4,63],[0,5,12],[0,6,63],[1,2,77],[1,3,39],[1,4,78],[1,5,66],[1,6,25],[2,4,97],[2,5,81],[3,4,24],[3,6,81],[4,5,63],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,22],[0,3,2],[0,4,63],[0,5,12],[0,6,63],[1,2,77],[1,3,39],[1,4,78],[1,5,66],[1,6,25],[2,4,97],[2,5,81],[3,4,24],[3,6,81],[4,5,63],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,5)=12, w=14\",\"Add (0,1)=21, w=35\",\"Add (5,6)=21, w=56\",\"Add (0,2)=22, w=78\",\"Add (3,4)=24, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,22],[0,3,2],[0,4,63],[0,5,12],[0,6,63],[1,2,77],[1,3,39],[1,4,78],[1,5,66],[1,6,25],[2,4,97],[2,5,81],[3,4,24],[3,6,81],[4,5,63],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,5)=12 Succeeded, w=14\",\"Add (0,1)=21 Succeeded, w=35\",\"Add (5,6)=21 Succeeded, w=56\",\"Add (0,2)=22 Succeeded, w=78\",\"Add (3,4)=24 Succeeded, w=102\",\"Add (1,6)=25 Failed, w=102\",\"Add (1,3)=39 Failed, w=102\",\"Add (0,4)=63 Failed, w=102\",\"Add (0,6)=63 Failed, w=102\",\"Add (4,5)=63 Failed, w=102\",\"Add (1,5)=66 Failed, w=102\",\"Add (1,2)=77 Failed, w=102\",\"Add (1,4)=78 Failed, w=102\",\"Add (2,5)=81 Failed, w=102\",\"Add (3,6)=81 Failed, w=102\",\"Add (2,4)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,22],[0,3,2],[0,4,63],[0,5,12],[0,6,63],[1,2,77],[1,3,39],[1,4,78],[1,5,66],[1,6,25],[2,4,97],[2,5,81],[3,4,24],[3,6,81],[4,5,63],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,5)=12,(0,1)=21,(5,6)=21,(0,2)=22,(3,4)=24,(1,6)=25,(1,3)=39,(0,4)=63,(0,6)=63,(4,5)=63,(1,5)=66,(1,2)=77,(1,4)=78,(2,5)=81,(3,6)=81,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=35\",\"Find(5)=0, Find(6)=6, Add (5,6)=21 Succeeded, w=56\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=78\",\"Find(3)=0, Find(4)=4, Add (3,4)=24 Succeeded, w=102\",\"Find(1)=0, Find(6)=0, Add (1,6)=25 Failed, w=102\",\"Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=102\",\"Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=102\",\"Find(0)=0, Find(6)=0, Add (0,6)=63 Failed, w=102\",\"Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=102\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=102\",\"Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=102\",\"Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=102\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=102\",\"Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=102\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,21],[0,2,22],[0,3,2],[0,4,63],[0,5,12],[0,6,63],[1,2,77],[1,3,39],[1,4,78],[1,5,66],[1,6,25],[2,4,97],[2,5,81],[3,4,24],[3,6,81],[4,5,63],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,5)=12,(0,1)=21,(5,6)=21,(0,2)=22,(3,4)=24,(1,6)=25,(1,3)=39,(0,4)=63,(0,6)=63,(4,5)=63,(1,5)=66,(1,2)=77,(1,4)=78,(2,5)=81,(3,6)=81,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=21 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=21 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=4, Add (3,4)=24 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=25 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=39 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=63 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=63 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=77 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=78 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=81 Failed, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,95],[0,2,77],[1,3,84],[1,5,100],[2,3,57],[2,5,79],[3,5,43],[4,5,16]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,77],[1,3,84],[1,5,100],[2,3,57],[2,5,79],[3,5,43],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,77],[1,3,84],[1,5,100],[2,3,57],[2,5,79],[3,5,43],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,77],[1,3,84],[1,5,100],[2,3,57],[2,5,79],[3,5,43],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=16, w=16\",\"Add (3,5)=43, w=59\",\"Add (2,3)=57, w=116\",\"Add (0,2)=77, w=193\",\"Add (1,3)=84, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,77],[1,3,84],[1,5,100],[2,3,57],[2,5,79],[3,5,43],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=16 Succeeded, w=16\",\"Add (3,5)=43 Succeeded, w=59\",\"Add (2,3)=57 Succeeded, w=116\",\"Add (0,2)=77 Succeeded, w=193\",\"Add (2,5)=79 Failed, w=193\",\"Add (1,3)=84 Succeeded, w=277\",\"Add (0,1)=95 Failed, w=277\",\"Add (1,5)=100 Failed, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,77],[1,3,84],[1,5,100],[2,3,57],[2,5,79],[3,5,43],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=16,(3,5)=43,(2,3)=57,(0,2)=77,(2,5)=79,(1,3)=84,(0,1)=95,(1,5)=100]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=16\",\"Find(3)=3, Find(5)=4, Add (3,5)=43 Succeeded, w=59\",\"Find(2)=2, Find(3)=4, Add (2,3)=57 Succeeded, w=116\",\"Find(0)=0, Find(2)=4, Add (0,2)=77 Succeeded, w=193\",\"Find(2)=4, Find(5)=4, Add (2,5)=79 Failed, w=193\",\"Find(1)=1, Find(3)=4, Add (1,3)=84 Succeeded, w=277\",\"Find(0)=4, Find(1)=4, Add (0,1)=95 Failed, w=277\",\"Find(1)=4, Find(5)=4, Add (1,5)=100 Failed, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,95],[0,2,77],[1,3,84],[1,5,100],[2,3,57],[2,5,79],[3,5,43],[4,5,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=16,(3,5)=43,(2,3)=57,(0,2)=77,(2,5)=79,(1,3)=84,(0,1)=95,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4}, Find(3)=3, Find(5)=4, Add (3,5)=43 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=2, Find(3)=4, Add (2,3)=57 Succeeded, w=116\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=0, Find(2)=4, Add (0,2)=77 Succeeded, w=193\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=79 Failed, w=193\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=1, Find(3)=4, Add (1,3)=84 Succeeded, w=277\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=95 Failed, w=277\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=100 Failed, w=277\"],\"Answer\":277}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,61],[0,4,99],[1,4,83],[2,4,60],[3,4,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,4,99],[1,4,83],[2,4,60],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,4,99],[1,4,83],[2,4,60],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,4)\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,4,99],[1,4,83],[2,4,60],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=60, w=60\",\"Add (0,1)=61, w=121\",\"Add (3,4)=77, w=198\",\"Add (1,4)=83, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,4,99],[1,4,83],[2,4,60],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=60 Succeeded, w=60\",\"Add (0,1)=61 Succeeded, w=121\",\"Add (3,4)=77 Succeeded, w=198\",\"Add (1,4)=83 Succeeded, w=281\",\"Add (0,4)=99 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,4,99],[1,4,83],[2,4,60],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=60,(0,1)=61,(3,4)=77,(1,4)=83,(0,4)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=60 Succeeded, w=60\",\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=121\",\"Find(3)=3, Find(4)=2, Add (3,4)=77 Succeeded, w=198\",\"Find(1)=0, Find(4)=2, Add (1,4)=83 Succeeded, w=281\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,61],[0,4,99],[1,4,83],[2,4,60],[3,4,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=60,(0,1)=61,(3,4)=77,(1,4)=83,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=60 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=77 Succeeded, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 2}, Find(1)=0, Find(4)=2, Add (1,4)=83 Succeeded, w=281\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=281\"],\"Answer\":281}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,98],[0,3,100],[0,4,75],[1,2,34],[1,4,53],[1,5,42],[2,3,84],[2,4,39],[2,5,47],[3,4,75],[3,5,70],[4,5,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,98],[0,3,100],[0,4,75],[1,2,34],[1,4,53],[1,5,42],[2,3,84],[2,4,39],[2,5,47],[3,4,75],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,98],[0,3,100],[0,4,75],[1,2,34],[1,4,53],[1,5,42],[2,3,84],[2,4,39],[2,5,47],[3,4,75],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (3,5)\",\"Add (0,4)\"],\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,98],[0,3,100],[0,4,75],[1,2,34],[1,4,53],[1,5,42],[2,3,84],[2,4,39],[2,5,47],[3,4,75],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=34, w=34\",\"Add (4,5)=34, w=68\",\"Add (2,4)=39, w=107\",\"Add (3,5)=70, w=177\",\"Add (0,4)=75, w=252\"],\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,98],[0,3,100],[0,4,75],[1,2,34],[1,4,53],[1,5,42],[2,3,84],[2,4,39],[2,5,47],[3,4,75],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=34 Succeeded, w=34\",\"Add (4,5)=34 Succeeded, w=68\",\"Add (2,4)=39 Succeeded, w=107\",\"Add (1,5)=42 Failed, w=107\",\"Add (2,5)=47 Failed, w=107\",\"Add (1,4)=53 Failed, w=107\",\"Add (3,5)=70 Succeeded, w=177\",\"Add (0,4)=75 Succeeded, w=252\",\"Add (3,4)=75 Failed, w=252\",\"Add (2,3)=84 Failed, w=252\",\"Add (0,2)=98 Failed, w=252\",\"Add (0,3)=100 Failed, w=252\"],\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,98],[0,3,100],[0,4,75],[1,2,34],[1,4,53],[1,5,42],[2,3,84],[2,4,39],[2,5,47],[3,4,75],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=34,(4,5)=34,(2,4)=39,(1,5)=42,(2,5)=47,(1,4)=53,(3,5)=70,(0,4)=75,(3,4)=75,(2,3)=84,(0,2)=98,(0,3)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=34\",\"Find(4)=4, Find(5)=5, Add (4,5)=34 Succeeded, w=68\",\"Find(2)=1, Find(4)=4, Add (2,4)=39 Succeeded, w=107\",\"Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=107\",\"Find(2)=1, Find(5)=1, Add (2,5)=47 Failed, w=107\",\"Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=107\",\"Find(3)=3, Find(5)=1, Add (3,5)=70 Succeeded, w=177\",\"Find(0)=0, Find(4)=1, Add (0,4)=75 Succeeded, w=252\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=252\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=252\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=252\",\"Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=252\"],\"Answer\":252}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,98],[0,3,100],[0,4,75],[1,2,34],[1,4,53],[1,5,42],[2,3,84],[2,4,39],[2,5,47],[3,4,75],[3,5,70],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=34,(4,5)=34,(2,4)=39,(1,5)=42,(2,5)=47,(1,4)=53,(3,5)=70,(0,4)=75,(3,4)=75,(2,3)=84,(0,2)=98,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=34 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4}, Find(2)=1, Find(4)=4, Add (2,4)=39 Succeeded, w=107\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=42 Failed, w=107\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=47 Failed, w=107\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=53 Failed, w=107\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=70 Succeeded, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=75 Succeeded, w=252\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=252\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=252\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=252\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=100 Failed, w=252\"],\"Answer\":252}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,87],[0,3,31],[0,5,70],[0,6,14],[1,3,0],[1,4,10],[1,5,68],[1,6,29],[2,3,56],[2,4,94],[2,5,60],[2,6,31],[3,4,11],[3,5,37],[3,6,37],[4,5,93],[4,6,71],[5,6,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,31],[0,5,70],[0,6,14],[1,3,0],[1,4,10],[1,5,68],[1,6,29],[2,3,56],[2,4,94],[2,5,60],[2,6,31],[3,4,11],[3,5,37],[3,6,37],[4,5,93],[4,6,71],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,31],[0,5,70],[0,6,14],[1,3,0],[1,4,10],[1,5,68],[1,6,29],[2,3,56],[2,4,94],[2,5,60],[2,6,31],[3,4,11],[3,5,37],[3,6,37],[4,5,93],[4,6,71],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (1,6)\",\"Add (2,6)\",\"Add (3,5)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,31],[0,5,70],[0,6,14],[1,3,0],[1,4,10],[1,5,68],[1,6,29],[2,3,56],[2,4,94],[2,5,60],[2,6,31],[3,4,11],[3,5,37],[3,6,37],[4,5,93],[4,6,71],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (1,4)=10, w=10\",\"Add (0,6)=14, w=24\",\"Add (1,6)=29, w=53\",\"Add (2,6)=31, w=84\",\"Add (3,5)=37, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,31],[0,5,70],[0,6,14],[1,3,0],[1,4,10],[1,5,68],[1,6,29],[2,3,56],[2,4,94],[2,5,60],[2,6,31],[3,4,11],[3,5,37],[3,6,37],[4,5,93],[4,6,71],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (1,4)=10 Succeeded, w=10\",\"Add (3,4)=11 Failed, w=10\",\"Add (0,6)=14 Succeeded, w=24\",\"Add (1,6)=29 Succeeded, w=53\",\"Add (0,3)=31 Failed, w=53\",\"Add (2,6)=31 Succeeded, w=84\",\"Add (3,5)=37 Succeeded, w=121\",\"Add (3,6)=37 Failed, w=121\",\"Add (2,3)=56 Failed, w=121\",\"Add (2,5)=60 Failed, w=121\",\"Add (1,5)=68 Failed, w=121\",\"Add (0,5)=70 Failed, w=121\",\"Add (4,6)=71 Failed, w=121\",\"Add (0,2)=87 Failed, w=121\",\"Add (4,5)=93 Failed, w=121\",\"Add (2,4)=94 Failed, w=121\",\"Add (5,6)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,31],[0,5,70],[0,6,14],[1,3,0],[1,4,10],[1,5,68],[1,6,29],[2,3,56],[2,4,94],[2,5,60],[2,6,31],[3,4,11],[3,5,37],[3,6,37],[4,5,93],[4,6,71],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,4)=10,(3,4)=11,(0,6)=14,(1,6)=29,(0,3)=31,(2,6)=31,(3,5)=37,(3,6)=37,(2,3)=56,(2,5)=60,(1,5)=68,(0,5)=70,(4,6)=71,(0,2)=87,(4,5)=93,(2,4)=94,(5,6)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Find(3)=1, Find(4)=1, Add (3,4)=11 Failed, w=10\",\"Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=24\",\"Find(1)=1, Find(6)=0, Add (1,6)=29 Succeeded, w=53\",\"Find(0)=1, Find(3)=1, Add (0,3)=31 Failed, w=53\",\"Find(2)=2, Find(6)=1, Add (2,6)=31 Succeeded, w=84\",\"Find(3)=1, Find(5)=5, Add (3,5)=37 Succeeded, w=121\",\"Find(3)=1, Find(6)=1, Add (3,6)=37 Failed, w=121\",\"Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=121\",\"Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=121\",\"Find(1)=1, Find(5)=1, Add (1,5)=68 Failed, w=121\",\"Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=121\",\"Find(4)=1, Find(6)=1, Add (4,6)=71 Failed, w=121\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=121\",\"Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=121\",\"Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=121\",\"Find(5)=1, Find(6)=1, Add (5,6)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,31],[0,5,70],[0,6,14],[1,3,0],[1,4,10],[1,5,68],[1,6,29],[2,3,56],[2,4,94],[2,5,60],[2,6,31],[3,4,11],[3,5,37],[3,6,37],[4,5,93],[4,6,71],[5,6,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(1,4)=10,(3,4)=11,(0,6)=14,(1,6)=29,(0,3)=31,(2,6)=31,(3,5)=37,(3,6)=37,(2,3)=56,(2,5)=60,(1,5)=68,(0,5)=70,(4,6)=71,(0,2)=87,(4,5)=93,(2,4)=94,(5,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(3)=1, Find(4)=1, Add (3,4)=11 Failed, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=29 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 0}, Find(0)=1, Find(3)=1, Add (0,3)=31 Failed, w=53\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=31 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=37 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=37 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=56 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=60 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=68 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=71 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=93 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=94 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=100 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,19],[1,2,72],[1,3,83],[2,3,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,19],[1,2,72],[1,3,83],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,19],[1,2,72],[1,3,83],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,19],[1,2,72],[1,3,83],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19, w=19\",\"Add (0,1)=44, w=63\",\"Add (1,3)=83, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,19],[1,2,72],[1,3,83],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=19 Succeeded, w=19\",\"Add (0,1)=44 Succeeded, w=63\",\"Add (1,2)=72 Failed, w=63\",\"Add (1,3)=83 Succeeded, w=146\",\"Add (2,3)=93 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,19],[1,2,72],[1,3,83],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,1)=44,(1,2)=72,(1,3)=83,(2,3)=93]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=63\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=63\",\"Find(1)=0, Find(3)=3, Add (1,3)=83 Succeeded, w=146\",\"Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,19],[1,2,72],[1,3,83],[2,3,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=19,(0,1)=44,(1,2)=72,(1,3)=83,(2,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=63\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=83 Succeeded, w=146\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=93 Failed, w=146\"],\"Answer\":146}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,3],[0,4,27],[0,7,27],[1,6,73],[2,3,77],[2,4,46],[2,5,89],[2,6,35],[2,7,96],[3,4,100],[3,6,93],[4,5,39],[6,7,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,4,27],[0,7,27],[1,6,73],[2,3,77],[2,4,46],[2,5,89],[2,6,35],[2,7,96],[3,4,100],[3,6,93],[4,5,39],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,4,27],[0,7,27],[1,6,73],[2,3,77],[2,4,46],[2,5,89],[2,6,35],[2,7,96],[3,4,100],[3,6,93],[4,5,39],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (0,7)\",\"Add (2,6)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (2,3)\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,4,27],[0,7,27],[1,6,73],[2,3,77],[2,4,46],[2,5,89],[2,6,35],[2,7,96],[3,4,100],[3,6,93],[4,5,39],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (0,4)=27, w=30\",\"Add (0,7)=27, w=57\",\"Add (2,6)=35, w=92\",\"Add (4,5)=39, w=131\",\"Add (2,4)=46, w=177\",\"Add (2,3)=77, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,4,27],[0,7,27],[1,6,73],[2,3,77],[2,4,46],[2,5,89],[2,6,35],[2,7,96],[3,4,100],[3,6,93],[4,5,39],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (0,4)=27 Succeeded, w=30\",\"Add (0,7)=27 Succeeded, w=57\",\"Add (2,6)=35 Succeeded, w=92\",\"Add (4,5)=39 Succeeded, w=131\",\"Add (2,4)=46 Succeeded, w=177\",\"Add (6,7)=66 Failed, w=177\",\"Add (1,6)=73 Failed, w=177\",\"Add (2,3)=77 Succeeded, w=254\",\"Add (2,5)=89 Failed, w=254\",\"Add (3,6)=93 Failed, w=254\",\"Add (2,7)=96 Failed, w=254\",\"Add (3,4)=100 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,4,27],[0,7,27],[1,6,73],[2,3,77],[2,4,46],[2,5,89],[2,6,35],[2,7,96],[3,4,100],[3,6,93],[4,5,39],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,4)=27,(0,7)=27,(2,6)=35,(4,5)=39,(2,4)=46,(6,7)=66,(1,6)=73,(2,3)=77,(2,5)=89,(3,6)=93,(2,7)=96,(3,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=30\",\"Find(0)=0, Find(7)=7, Add (0,7)=27 Succeeded, w=57\",\"Find(2)=2, Find(6)=6, Add (2,6)=35 Succeeded, w=92\",\"Find(4)=0, Find(5)=5, Add (4,5)=39 Succeeded, w=131\",\"Find(2)=2, Find(4)=0, Add (2,4)=46 Succeeded, w=177\",\"Find(6)=2, Find(7)=2, Add (6,7)=66 Failed, w=177\",\"Find(1)=2, Find(6)=2, Add (1,6)=73 Failed, w=177\",\"Find(2)=2, Find(3)=3, Add (2,3)=77 Succeeded, w=254\",\"Find(2)=2, Find(5)=2, Add (2,5)=89 Failed, w=254\",\"Find(3)=2, Find(6)=2, Add (3,6)=93 Failed, w=254\",\"Find(2)=2, Find(7)=2, Add (2,7)=96 Failed, w=254\",\"Find(3)=2, Find(4)=2, Add (3,4)=100 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,3],[0,4,27],[0,7,27],[1,6,73],[2,3,77],[2,4,46],[2,5,89],[2,6,35],[2,7,96],[3,4,100],[3,6,93],[4,5,39],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(0,4)=27,(0,7)=27,(2,6)=35,(4,5)=39,(2,4)=46,(6,7)=66,(1,6)=73,(2,3)=77,(2,5)=89,(3,6)=93,(2,7)=96,(3,4)=100]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=27 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 2, 7: 0}, Find(2)=2, Find(6)=6, Add (2,6)=35 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2, 7: 0}, Find(4)=0, Find(5)=5, Add (4,5)=39 Succeeded, w=131\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=2, Find(4)=0, Add (2,4)=46 Succeeded, w=177\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=66 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=73 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(3)=3, Add (2,3)=77 Succeeded, w=254\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=89 Failed, w=254\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=93 Failed, w=254\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=96 Failed, w=254\",\"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)=100 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,82],[0,2,84],[0,3,69],[0,5,7],[1,2,33],[1,4,4],[1,5,11],[2,3,39],[2,4,65],[3,5,100]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,84],[0,3,69],[0,5,7],[1,2,33],[1,4,4],[1,5,11],[2,3,39],[2,4,65],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,84],[0,3,69],[0,5,7],[1,2,33],[1,4,4],[1,5,11],[2,3,39],[2,4,65],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,84],[0,3,69],[0,5,7],[1,2,33],[1,4,4],[1,5,11],[2,3,39],[2,4,65],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4, w=4\",\"Add (0,5)=7, w=11\",\"Add (1,5)=11, w=22\",\"Add (1,2)=33, w=55\",\"Add (2,3)=39, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,84],[0,3,69],[0,5,7],[1,2,33],[1,4,4],[1,5,11],[2,3,39],[2,4,65],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=4 Succeeded, w=4\",\"Add (0,5)=7 Succeeded, w=11\",\"Add (1,5)=11 Succeeded, w=22\",\"Add (1,2)=33 Succeeded, w=55\",\"Add (2,3)=39 Succeeded, w=94\",\"Add (2,4)=65 Failed, w=94\",\"Add (0,3)=69 Failed, w=94\",\"Add (0,1)=82 Failed, w=94\",\"Add (0,2)=84 Failed, w=94\",\"Add (3,5)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,84],[0,3,69],[0,5,7],[1,2,33],[1,4,4],[1,5,11],[2,3,39],[2,4,65],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,5)=7,(1,5)=11,(1,2)=33,(2,3)=39,(2,4)=65,(0,3)=69,(0,1)=82,(0,2)=84,(3,5)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=11\",\"Find(1)=1, Find(5)=0, Add (1,5)=11 Succeeded, w=22\",\"Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=55\",\"Find(2)=1, Find(3)=3, Add (2,3)=39 Succeeded, w=94\",\"Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=94\",\"Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=94\",\"Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=94\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=94\",\"Find(3)=1, Find(5)=1, Add (3,5)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,82],[0,2,84],[0,3,69],[0,5,7],[1,2,33],[1,4,4],[1,5,11],[2,3,39],[2,4,65],[3,5,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=4,(0,5)=7,(1,5)=11,(1,2)=33,(2,3)=39,(2,4)=65,(0,3)=69,(0,1)=82,(0,2)=84,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=11 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0}, Find(1)=1, Find(2)=2, Add (1,2)=33 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(3)=3, Add (2,3)=39 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(2)=1, Find(4)=1, Add (2,4)=65 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(0)=1, Find(3)=1, Add (0,3)=69 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(0)=1, Find(1)=1, Add (0,1)=82 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=100 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,6],[0,2,19],[0,3,99],[1,2,28],[1,3,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,19],[0,3,99],[1,2,28],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,19],[0,3,99],[1,2,28],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,19],[0,3,99],[1,2,28],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (0,2)=19, w=25\",\"Add (1,3)=83, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,19],[0,3,99],[1,2,28],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (0,2)=19 Succeeded, w=25\",\"Add (1,2)=28 Failed, w=25\",\"Add (1,3)=83 Succeeded, w=108\",\"Add (0,3)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,19],[0,3,99],[1,2,28],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,2)=19,(1,2)=28,(1,3)=83,(0,3)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=25\",\"Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=25\",\"Find(1)=0, Find(3)=3, Add (1,3)=83 Succeeded, w=108\",\"Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,6],[0,2,19],[0,3,99],[1,2,28],[1,3,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(0,2)=19,(1,2)=28,(1,3)=83,(0,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=0, Add (1,2)=28 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=83 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,35],[0,2,54],[0,3,32],[0,4,59],[1,3,70],[1,4,42],[2,3,23],[2,4,76],[3,4,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,54],[0,3,32],[0,4,59],[1,3,70],[1,4,42],[2,3,23],[2,4,76],[3,4,20]]}",
"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\":[[0,1,35],[0,2,54],[0,3,32],[0,4,59],[1,3,70],[1,4,42],[2,3,23],[2,4,76],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,54],[0,3,32],[0,4,59],[1,3,70],[1,4,42],[2,3,23],[2,4,76],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=20, w=20\",\"Add (2,3)=23, w=43\",\"Add (0,3)=32, w=75\",\"Add (0,1)=35, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,35],[0,2,54],[0,3,32],[0,4,59],[1,3,70],[1,4,42],[2,3,23],[2,4,76],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=20 Succeeded, w=20\",\"Add (2,3)=23 Succeeded, w=43\",\"Add (0,3)=32 Succeeded, w=75\",\"Add (0,1)=35 Succeeded, w=110\",\"Add (1,4)=42 Failed, w=110\",\"Add (0,2)=54 Failed, w=110\",\"Add (0,4)=59 Failed, w=110\",\"Add (1,3)=70 Failed, w=110\",\"Add (2,4)=76 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\":[[0,1,35],[0,2,54],[0,3,32],[0,4,59],[1,3,70],[1,4,42],[2,3,23],[2,4,76],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=20,(2,3)=23,(0,3)=32,(0,1)=35,(1,4)=42,(0,2)=54,(0,4)=59,(1,3)=70,(2,4)=76]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=20\",\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=43\",\"Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=75\",\"Find(0)=3, Find(1)=1, Add (0,1)=35 Succeeded, w=110\",\"Find(1)=3, Find(4)=3, Add (1,4)=42 Failed, w=110\",\"Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=110\",\"Find(0)=3, Find(4)=3, Add (0,4)=59 Failed, w=110\",\"Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=110\",\"Find(2)=3, Find(4)=3, Add (2,4)=76 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\":[[0,1,35],[0,2,54],[0,3,32],[0,4,59],[1,3,70],[1,4,42],[2,3,23],[2,4,76],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=20,(2,3)=23,(0,3)=32,(0,1)=35,(1,4)=42,(0,2)=54,(0,4)=59,(1,3)=70,(2,4)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=43\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=1, Add (0,1)=35 Succeeded, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=42 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=54 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=59 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=70 Failed, w=110\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=76 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,24],[0,2,36],[0,3,46],[0,4,74],[1,2,14],[1,3,27],[1,4,44],[2,4,81],[3,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,36],[0,3,46],[0,4,74],[1,2,14],[1,3,27],[1,4,44],[2,4,81],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,36],[0,3,46],[0,4,74],[1,2,14],[1,3,27],[1,4,44],[2,4,81],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,36],[0,3,46],[0,4,74],[1,2,14],[1,3,27],[1,4,44],[2,4,81],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14, w=14\",\"Add (3,4)=21, w=35\",\"Add (0,1)=24, w=59\",\"Add (1,3)=27, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,36],[0,3,46],[0,4,74],[1,2,14],[1,3,27],[1,4,44],[2,4,81],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14 Succeeded, w=14\",\"Add (3,4)=21 Succeeded, w=35\",\"Add (0,1)=24 Succeeded, w=59\",\"Add (1,3)=27 Succeeded, w=86\",\"Add (0,2)=36 Failed, w=86\",\"Add (1,4)=44 Failed, w=86\",\"Add (0,3)=46 Failed, w=86\",\"Add (0,4)=74 Failed, w=86\",\"Add (2,4)=81 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,36],[0,3,46],[0,4,74],[1,2,14],[1,3,27],[1,4,44],[2,4,81],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(3,4)=21,(0,1)=24,(1,3)=27,(0,2)=36,(1,4)=44,(0,3)=46,(0,4)=74,(2,4)=81]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=59\",\"Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=86\",\"Find(0)=1, Find(2)=1, Add (0,2)=36 Failed, w=86\",\"Find(1)=1, Find(4)=1, Add (1,4)=44 Failed, w=86\",\"Find(0)=1, Find(3)=1, Add (0,3)=46 Failed, w=86\",\"Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=86\",\"Find(2)=1, Find(4)=1, Add (2,4)=81 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,24],[0,2,36],[0,3,46],[0,4,74],[1,2,14],[1,3,27],[1,4,44],[2,4,81],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(3,4)=21,(0,1)=24,(1,3)=27,(0,2)=36,(1,4)=44,(0,3)=46,(0,4)=74,(2,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=24 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=27 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3}, Find(0)=1, Find(2)=1, Add (0,2)=36 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=44 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=46 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=81 Failed, w=86\"],\"Answer\":86}",
"role": "assistant"
}
]
|
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