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
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,16],[0,5,76],[0,7,44],[1,2,39],[1,3,3],[1,4,68],[1,6,93],[1,7,55],[2,4,32],[2,5,55],[2,6,87],[2,7,33],[3,5,52],[3,6,11],[3,7,49],[4,5,90],[4,6,58],[4,7,95],[5,6,16],[5,7,3],[6,7,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,5,76],[0,7,44],[1,2,39],[1,3,3],[1,4,68],[1,6,93],[1,7,55],[2,4,32],[2,5,55],[2,6,87],[2,7,33],[3,5,52],[3,6,11],[3,7,49],[4,5,90],[4,6,58],[4,7,95],[5,6,16],[5,7,3],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,5,76],[0,7,44],[1,2,39],[1,3,3],[1,4,68],[1,6,93],[1,7,55],[2,4,32],[2,5,55],[2,6,87],[2,7,33],[3,5,52],[3,6,11],[3,7,49],[4,5,90],[4,6,58],[4,7,95],[5,6,16],[5,7,3],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (5,7)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (2,4)\",\"Add (2,7)\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,5,76],[0,7,44],[1,2,39],[1,3,3],[1,4,68],[1,6,93],[1,7,55],[2,4,32],[2,5,55],[2,6,87],[2,7,33],[3,5,52],[3,6,11],[3,7,49],[4,5,90],[4,6,58],[4,7,95],[5,6,16],[5,7,3],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (5,7)=3, w=6\",\"Add (3,6)=11, w=17\",\"Add (0,1)=16, w=33\",\"Add (5,6)=16, w=49\",\"Add (2,4)=32, w=81\",\"Add (2,7)=33, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,5,76],[0,7,44],[1,2,39],[1,3,3],[1,4,68],[1,6,93],[1,7,55],[2,4,32],[2,5,55],[2,6,87],[2,7,33],[3,5,52],[3,6,11],[3,7,49],[4,5,90],[4,6,58],[4,7,95],[5,6,16],[5,7,3],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (5,7)=3 Succeeded, w=6\",\"Add (3,6)=11 Succeeded, w=17\",\"Add (0,1)=16 Succeeded, w=33\",\"Add (5,6)=16 Succeeded, w=49\",\"Add (2,4)=32 Succeeded, w=81\",\"Add (2,7)=33 Succeeded, w=114\",\"Add (1,2)=39 Failed, w=114\",\"Add (6,7)=42 Failed, w=114\",\"Add (0,7)=44 Failed, w=114\",\"Add (3,7)=49 Failed, w=114\",\"Add (3,5)=52 Failed, w=114\",\"Add (1,7)=55 Failed, w=114\",\"Add (2,5)=55 Failed, w=114\",\"Add (4,6)=58 Failed, w=114\",\"Add (1,4)=68 Failed, w=114\",\"Add (0,5)=76 Failed, w=114\",\"Add (2,6)=87 Failed, w=114\",\"Add (4,5)=90 Failed, w=114\",\"Add (1,6)=93 Failed, w=114\",\"Add (4,7)=95 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,5,76],[0,7,44],[1,2,39],[1,3,3],[1,4,68],[1,6,93],[1,7,55],[2,4,32],[2,5,55],[2,6,87],[2,7,33],[3,5,52],[3,6,11],[3,7,49],[4,5,90],[4,6,58],[4,7,95],[5,6,16],[5,7,3],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(5,7)=3,(3,6)=11,(0,1)=16,(5,6)=16,(2,4)=32,(2,7)=33,(1,2)=39,(6,7)=42,(0,7)=44,(3,7)=49,(3,5)=52,(1,7)=55,(2,5)=55,(4,6)=58,(1,4)=68,(0,5)=76,(2,6)=87,(4,5)=90,(1,6)=93,(4,7)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(5)=5, Find(7)=7, Add (5,7)=3 Succeeded, w=6\",\"Find(3)=1, Find(6)=6, Add (3,6)=11 Succeeded, w=17\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=33\",\"Find(5)=5, Find(6)=1, Add (5,6)=16 Succeeded, w=49\",\"Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=81\",\"Find(2)=2, Find(7)=5, Add (2,7)=33 Succeeded, w=114\",\"Find(1)=5, Find(2)=5, Add (1,2)=39 Failed, w=114\",\"Find(6)=5, Find(7)=5, Add (6,7)=42 Failed, w=114\",\"Find(0)=5, Find(7)=5, Add (0,7)=44 Failed, w=114\",\"Find(3)=5, Find(7)=5, Add (3,7)=49 Failed, w=114\",\"Find(3)=5, Find(5)=5, Add (3,5)=52 Failed, w=114\",\"Find(1)=5, Find(7)=5, Add (1,7)=55 Failed, w=114\",\"Find(2)=5, Find(5)=5, Add (2,5)=55 Failed, w=114\",\"Find(4)=5, Find(6)=5, Add (4,6)=58 Failed, w=114\",\"Find(1)=5, Find(4)=5, Add (1,4)=68 Failed, w=114\",\"Find(0)=5, Find(5)=5, Add (0,5)=76 Failed, w=114\",\"Find(2)=5, Find(6)=5, Add (2,6)=87 Failed, w=114\",\"Find(4)=5, Find(5)=5, Add (4,5)=90 Failed, w=114\",\"Find(1)=5, Find(6)=5, Add (1,6)=93 Failed, w=114\",\"Find(4)=5, Find(7)=5, Add (4,7)=95 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,5,76],[0,7,44],[1,2,39],[1,3,3],[1,4,68],[1,6,93],[1,7,55],[2,4,32],[2,5,55],[2,6,87],[2,7,33],[3,5,52],[3,6,11],[3,7,49],[4,5,90],[4,6,58],[4,7,95],[5,6,16],[5,7,3],[6,7,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(5,7)=3,(3,6)=11,(0,1)=16,(5,6)=16,(2,4)=32,(2,7)=33,(1,2)=39,(6,7)=42,(0,7)=44,(3,7)=49,(3,5)=52,(1,7)=55,(2,5)=55,(4,6)=58,(1,4)=68,(0,5)=76,(2,6)=87,(4,5)=90,(1,6)=93,(4,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 5}, Find(3)=1, Find(6)=6, Add (3,6)=11 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 5}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=33\",\"Parent: {0: 1, 1: 5, 2: 2, 3: 1, 4: 4, 5: 5, 6: 1, 7: 5}, Find(5)=5, Find(6)=1, Add (5,6)=16 Succeeded, w=49\",\"Parent: {0: 1, 1: 5, 2: 2, 3: 1, 4: 2, 5: 5, 6: 1, 7: 5}, Find(2)=2, Find(4)=4, Add (2,4)=32 Succeeded, w=81\",\"Parent: {0: 1, 1: 5, 2: 5, 3: 1, 4: 2, 5: 5, 6: 1, 7: 5}, Find(2)=2, Find(7)=5, Add (2,7)=33 Succeeded, w=114\",\"Parent: {0: 1, 1: 5, 2: 5, 3: 1, 4: 2, 5: 5, 6: 1, 7: 5}, Find(1)=5, Find(2)=5, Add (1,2)=39 Failed, w=114\",\"Parent: {0: 1, 1: 5, 2: 5, 3: 1, 4: 2, 5: 5, 6: 5, 7: 5}, Find(6)=5, Find(7)=5, Add (6,7)=42 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 1, 4: 2, 5: 5, 6: 5, 7: 5}, Find(0)=5, Find(7)=5, Add (0,7)=44 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(7)=5, Add (3,7)=49 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(3)=5, Find(5)=5, Add (3,5)=52 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(7)=5, Add (1,7)=55 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 2, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(5)=5, Add (2,5)=55 Failed, w=114\",\"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)=58 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(1)=5, Find(4)=5, Add (1,4)=68 Failed, w=114\",\"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)=76 Failed, w=114\",\"Parent: {0: 5, 1: 5, 2: 5, 3: 5, 4: 5, 5: 5, 6: 5, 7: 5}, Find(2)=5, Find(6)=5, Add (2,6)=87 Failed, w=114\",\"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)=90 Failed, w=114\",\"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)=93 Failed, w=114\",\"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)=95 Failed, w=114\"],\"Answer\":114}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,52],[0,2,63],[0,3,35],[1,2,36],[1,3,29],[1,4,14],[2,4,87],[3,5,14],[4,5,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,63],[0,3,35],[1,2,36],[1,3,29],[1,4,14],[2,4,87],[3,5,14],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,63],[0,3,35],[1,2,36],[1,3,29],[1,4,14],[2,4,87],[3,5,14],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,63],[0,3,35],[1,2,36],[1,3,29],[1,4,14],[2,4,87],[3,5,14],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14, w=14\",\"Add (3,5)=14, w=28\",\"Add (1,3)=29, w=57\",\"Add (0,3)=35, w=92\",\"Add (1,2)=36, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,63],[0,3,35],[1,2,36],[1,3,29],[1,4,14],[2,4,87],[3,5,14],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14 Succeeded, w=14\",\"Add (3,5)=14 Succeeded, w=28\",\"Add (1,3)=29 Succeeded, w=57\",\"Add (0,3)=35 Succeeded, w=92\",\"Add (1,2)=36 Succeeded, w=128\",\"Add (0,1)=52 Failed, w=128\",\"Add (0,2)=63 Failed, w=128\",\"Add (4,5)=79 Failed, w=128\",\"Add (2,4)=87 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,63],[0,3,35],[1,2,36],[1,3,29],[1,4,14],[2,4,87],[3,5,14],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(3,5)=14,(1,3)=29,(0,3)=35,(1,2)=36,(0,1)=52,(0,2)=63,(4,5)=79,(2,4)=87]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=14\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=28\",\"Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=57\",\"Find(0)=0, Find(3)=1, Add (0,3)=35 Succeeded, w=92\",\"Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=128\",\"Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=128\",\"Find(0)=1, Find(2)=1, Add (0,2)=63 Failed, w=128\",\"Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=128\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,52],[0,2,63],[0,3,35],[1,2,36],[1,3,29],[1,4,14],[2,4,87],[3,5,14],[4,5,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(3,5)=14,(1,3)=29,(0,3)=35,(1,2)=36,(0,1)=52,(0,2)=63,(4,5)=79,(2,4)=87]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, 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: 3}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=29 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3}, Find(0)=0, Find(3)=1, Add (0,3)=35 Succeeded, w=92\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(2)=1, Add (0,2)=63 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=79 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,91],[1,4,65],[2,3,19],[2,4,14],[3,4,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,91],[1,4,65],[2,3,19],[2,4,14],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,91],[1,4,65],[2,3,19],[2,4,14],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,91],[1,4,65],[2,3,19],[2,4,14],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14, w=14\",\"Add (2,3)=19, w=33\",\"Add (1,4)=65, w=98\",\"Add (0,2)=91, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,91],[1,4,65],[2,3,19],[2,4,14],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=14 Succeeded, w=14\",\"Add (2,3)=19 Succeeded, w=33\",\"Add (3,4)=20 Failed, w=33\",\"Add (1,4)=65 Succeeded, w=98\",\"Add (0,2)=91 Succeeded, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,91],[1,4,65],[2,3,19],[2,4,14],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(2,3)=19,(3,4)=20,(1,4)=65,(0,2)=91]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=33\",\"Find(3)=2, Find(4)=2, Add (3,4)=20 Failed, w=33\",\"Find(1)=1, Find(4)=2, Add (1,4)=65 Succeeded, w=98\",\"Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,91],[1,4,65],[2,3,19],[2,4,14],[3,4,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=14,(2,3)=19,(3,4)=20,(1,4)=65,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=19 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=20 Failed, w=33\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=65 Succeeded, w=98\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=91 Succeeded, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,62],[0,2,85],[0,3,95],[0,4,0],[0,5,57],[0,6,88],[1,2,6],[1,3,37],[1,4,61],[1,5,19],[1,6,68],[2,3,21],[2,4,61],[2,5,44],[3,4,26],[3,5,1],[3,6,39],[4,5,46],[4,6,59],[5,6,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,85],[0,3,95],[0,4,0],[0,5,57],[0,6,88],[1,2,6],[1,3,37],[1,4,61],[1,5,19],[1,6,68],[2,3,21],[2,4,61],[2,5,44],[3,4,26],[3,5,1],[3,6,39],[4,5,46],[4,6,59],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,85],[0,3,95],[0,4,0],[0,5,57],[0,6,88],[1,2,6],[1,3,37],[1,4,61],[1,5,19],[1,6,68],[2,3,21],[2,4,61],[2,5,44],[3,4,26],[3,5,1],[3,6,39],[4,5,46],[4,6,59],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (1,5)\",\"Add (3,4)\",\"Add (3,6)\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,85],[0,3,95],[0,4,0],[0,5,57],[0,6,88],[1,2,6],[1,3,37],[1,4,61],[1,5,19],[1,6,68],[2,3,21],[2,4,61],[2,5,44],[3,4,26],[3,5,1],[3,6,39],[4,5,46],[4,6,59],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (3,5)=1, w=1\",\"Add (1,2)=6, w=7\",\"Add (1,5)=19, w=26\",\"Add (3,4)=26, w=52\",\"Add (3,6)=39, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,85],[0,3,95],[0,4,0],[0,5,57],[0,6,88],[1,2,6],[1,3,37],[1,4,61],[1,5,19],[1,6,68],[2,3,21],[2,4,61],[2,5,44],[3,4,26],[3,5,1],[3,6,39],[4,5,46],[4,6,59],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (3,5)=1 Succeeded, w=1\",\"Add (1,2)=6 Succeeded, w=7\",\"Add (1,5)=19 Succeeded, w=26\",\"Add (2,3)=21 Failed, w=26\",\"Add (3,4)=26 Succeeded, w=52\",\"Add (1,3)=37 Failed, w=52\",\"Add (3,6)=39 Succeeded, w=91\",\"Add (2,5)=44 Failed, w=91\",\"Add (4,5)=46 Failed, w=91\",\"Add (0,5)=57 Failed, w=91\",\"Add (4,6)=59 Failed, w=91\",\"Add (5,6)=59 Failed, w=91\",\"Add (1,4)=61 Failed, w=91\",\"Add (2,4)=61 Failed, w=91\",\"Add (0,1)=62 Failed, w=91\",\"Add (1,6)=68 Failed, w=91\",\"Add (0,2)=85 Failed, w=91\",\"Add (0,6)=88 Failed, w=91\",\"Add (0,3)=95 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,85],[0,3,95],[0,4,0],[0,5,57],[0,6,88],[1,2,6],[1,3,37],[1,4,61],[1,5,19],[1,6,68],[2,3,21],[2,4,61],[2,5,44],[3,4,26],[3,5,1],[3,6,39],[4,5,46],[4,6,59],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(3,5)=1,(1,2)=6,(1,5)=19,(2,3)=21,(3,4)=26,(1,3)=37,(3,6)=39,(2,5)=44,(4,5)=46,(0,5)=57,(4,6)=59,(5,6)=59,(1,4)=61,(2,4)=61,(0,1)=62,(1,6)=68,(0,2)=85,(0,6)=88,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=7\",\"Find(1)=1, Find(5)=3, Add (1,5)=19 Succeeded, w=26\",\"Find(2)=1, Find(3)=1, Add (2,3)=21 Failed, w=26\",\"Find(3)=1, Find(4)=0, Add (3,4)=26 Succeeded, w=52\",\"Find(1)=1, Find(3)=1, Add (1,3)=37 Failed, w=52\",\"Find(3)=1, Find(6)=6, Add (3,6)=39 Succeeded, w=91\",\"Find(2)=1, Find(5)=1, Add (2,5)=44 Failed, w=91\",\"Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=91\",\"Find(0)=1, Find(5)=1, Add (0,5)=57 Failed, w=91\",\"Find(4)=1, Find(6)=1, Add (4,6)=59 Failed, w=91\",\"Find(5)=1, Find(6)=1, Add (5,6)=59 Failed, w=91\",\"Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=91\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=91\",\"Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=91\",\"Find(1)=1, Find(6)=1, Add (1,6)=68 Failed, w=91\",\"Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=91\",\"Find(0)=1, Find(6)=1, Add (0,6)=88 Failed, w=91\",\"Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,62],[0,2,85],[0,3,95],[0,4,0],[0,5,57],[0,6,88],[1,2,6],[1,3,37],[1,4,61],[1,5,19],[1,6,68],[2,3,21],[2,4,61],[2,5,44],[3,4,26],[3,5,1],[3,6,39],[4,5,46],[4,6,59],[5,6,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(3,5)=1,(1,2)=6,(1,5)=19,(2,3)=21,(3,4)=26,(1,3)=37,(3,6)=39,(2,5)=44,(4,5)=46,(0,5)=57,(4,6)=59,(5,6)=59,(1,4)=61,(2,4)=61,(0,1)=62,(1,6)=68,(0,2)=85,(0,6)=88,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 3, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 6}, Find(1)=1, Find(5)=3, Add (1,5)=19 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 6}, Find(2)=1, Find(3)=1, Add (2,3)=21 Failed, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 6}, Find(3)=1, Find(4)=0, Add (3,4)=26 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 6}, Find(1)=1, Find(3)=1, Add (1,3)=37 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=39 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=44 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=46 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=57 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=59 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=59 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=61 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=62 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=68 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=85 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=88 Failed, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=95 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,70],[0,2,66],[0,3,83],[1,3,31],[2,3,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,66],[0,3,83],[1,3,31],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,66],[0,3,83],[1,3,31],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,2)\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,66],[0,3,83],[1,3,31],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=31, w=31\",\"Add (2,3)=40, w=71\",\"Add (0,2)=66, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,66],[0,3,83],[1,3,31],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=31 Succeeded, w=31\",\"Add (2,3)=40 Succeeded, w=71\",\"Add (0,2)=66 Succeeded, w=137\",\"Add (0,1)=70 Failed, w=137\",\"Add (0,3)=83 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,66],[0,3,83],[1,3,31],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=31,(2,3)=40,(0,2)=66,(0,1)=70,(0,3)=83]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=31\",\"Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=71\",\"Find(0)=0, Find(2)=1, Add (0,2)=66 Succeeded, w=137\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=137\",\"Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,70],[0,2,66],[0,3,83],[1,3,31],[2,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=31,(2,3)=40,(0,2)=66,(0,1)=70,(0,3)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=40 Succeeded, w=71\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(2)=1, Add (0,2)=66 Succeeded, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=137\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=83 Failed, w=137\"],\"Answer\":137}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,6],[0,3,49],[0,4,71],[1,2,60],[1,3,71],[1,5,82],[1,7,88],[2,3,58],[2,5,20],[2,6,30],[3,4,1],[3,5,28],[3,6,51],[3,7,51],[4,7,68],[5,7,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,49],[0,4,71],[1,2,60],[1,3,71],[1,5,82],[1,7,88],[2,3,58],[2,5,20],[2,6,30],[3,4,1],[3,5,28],[3,6,51],[3,7,51],[4,7,68],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,49],[0,4,71],[1,2,60],[1,3,71],[1,5,82],[1,7,88],[2,3,58],[2,5,20],[2,6,30],[3,4,1],[3,5,28],[3,6,51],[3,7,51],[4,7,68],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (3,5)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (3,7)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,49],[0,4,71],[1,2,60],[1,3,71],[1,5,82],[1,7,88],[2,3,58],[2,5,20],[2,6,30],[3,4,1],[3,5,28],[3,6,51],[3,7,51],[4,7,68],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (0,1)=6, w=7\",\"Add (2,5)=20, w=27\",\"Add (3,5)=28, w=55\",\"Add (2,6)=30, w=85\",\"Add (0,3)=49, w=134\",\"Add (3,7)=51, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,49],[0,4,71],[1,2,60],[1,3,71],[1,5,82],[1,7,88],[2,3,58],[2,5,20],[2,6,30],[3,4,1],[3,5,28],[3,6,51],[3,7,51],[4,7,68],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (0,1)=6 Succeeded, w=7\",\"Add (2,5)=20 Succeeded, w=27\",\"Add (3,5)=28 Succeeded, w=55\",\"Add (2,6)=30 Succeeded, w=85\",\"Add (0,3)=49 Succeeded, w=134\",\"Add (3,6)=51 Failed, w=134\",\"Add (3,7)=51 Succeeded, w=185\",\"Add (2,3)=58 Failed, w=185\",\"Add (1,2)=60 Failed, w=185\",\"Add (4,7)=68 Failed, w=185\",\"Add (0,4)=71 Failed, w=185\",\"Add (1,3)=71 Failed, w=185\",\"Add (5,7)=72 Failed, w=185\",\"Add (1,5)=82 Failed, w=185\",\"Add (1,7)=88 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,49],[0,4,71],[1,2,60],[1,3,71],[1,5,82],[1,7,88],[2,3,58],[2,5,20],[2,6,30],[3,4,1],[3,5,28],[3,6,51],[3,7,51],[4,7,68],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,1)=6,(2,5)=20,(3,5)=28,(2,6)=30,(0,3)=49,(3,6)=51,(3,7)=51,(2,3)=58,(1,2)=60,(4,7)=68,(0,4)=71,(1,3)=71,(5,7)=72,(1,5)=82,(1,7)=88]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=27\",\"Find(3)=3, Find(5)=2, Add (3,5)=28 Succeeded, w=55\",\"Find(2)=3, Find(6)=6, Add (2,6)=30 Succeeded, w=85\",\"Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=134\",\"Find(3)=3, Find(6)=3, Add (3,6)=51 Failed, w=134\",\"Find(3)=3, Find(7)=7, Add (3,7)=51 Succeeded, w=185\",\"Find(2)=3, Find(3)=3, Add (2,3)=58 Failed, w=185\",\"Find(1)=3, Find(2)=3, Add (1,2)=60 Failed, w=185\",\"Find(4)=3, Find(7)=3, Add (4,7)=68 Failed, w=185\",\"Find(0)=3, Find(4)=3, Add (0,4)=71 Failed, w=185\",\"Find(1)=3, Find(3)=3, Add (1,3)=71 Failed, w=185\",\"Find(5)=3, Find(7)=3, Add (5,7)=72 Failed, w=185\",\"Find(1)=3, Find(5)=3, Add (1,5)=82 Failed, w=185\",\"Find(1)=3, Find(7)=3, Add (1,7)=88 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,6],[0,3,49],[0,4,71],[1,2,60],[1,3,71],[1,5,82],[1,7,88],[2,3,58],[2,5,20],[2,6,30],[3,4,1],[3,5,28],[3,6,51],[3,7,51],[4,7,68],[5,7,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(0,1)=6,(2,5)=20,(3,5)=28,(2,6)=30,(0,3)=49,(3,6)=51,(3,7)=51,(2,3)=58,(1,2)=60,(4,7)=68,(0,4)=71,(1,3)=71,(5,7)=72,(1,5)=82,(1,7)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 2, 6: 6, 7: 7}, Find(3)=3, Find(5)=2, Add (3,5)=28 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 7}, Find(2)=3, Find(6)=6, Add (2,6)=30 Succeeded, w=85\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=49 Succeeded, w=134\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 7}, Find(3)=3, Find(6)=3, Add (3,6)=51 Failed, w=134\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=51 Succeeded, w=185\",\"Parent: {0: 3, 1: 0, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=58 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=60 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=68 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=71 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 2, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=71 Failed, w=185\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=72 Failed, w=185\",\"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)=82 Failed, w=185\",\"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)=88 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,73],[1,2,17],[1,3,68],[1,4,37],[1,5,65],[2,5,83],[3,4,38],[4,5,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[1,2,17],[1,3,68],[1,4,37],[1,5,65],[2,5,83],[3,4,38],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[1,2,17],[1,3,68],[1,4,37],[1,5,65],[2,5,83],[3,4,38],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (4,5)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,1)\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[1,2,17],[1,3,68],[1,4,37],[1,5,65],[2,5,83],[3,4,38],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=17, w=17\",\"Add (4,5)=17, w=34\",\"Add (1,4)=37, w=71\",\"Add (3,4)=38, w=109\",\"Add (0,1)=73, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[1,2,17],[1,3,68],[1,4,37],[1,5,65],[2,5,83],[3,4,38],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=17 Succeeded, w=17\",\"Add (4,5)=17 Succeeded, w=34\",\"Add (1,4)=37 Succeeded, w=71\",\"Add (3,4)=38 Succeeded, w=109\",\"Add (1,5)=65 Failed, w=109\",\"Add (1,3)=68 Failed, w=109\",\"Add (0,1)=73 Succeeded, w=182\",\"Add (2,5)=83 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[1,2,17],[1,3,68],[1,4,37],[1,5,65],[2,5,83],[3,4,38],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=17,(4,5)=17,(1,4)=37,(3,4)=38,(1,5)=65,(1,3)=68,(0,1)=73,(2,5)=83]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=17\",\"Find(4)=4, Find(5)=5, Add (4,5)=17 Succeeded, w=34\",\"Find(1)=1, Find(4)=4, Add (1,4)=37 Succeeded, w=71\",\"Find(3)=3, Find(4)=1, Add (3,4)=38 Succeeded, w=109\",\"Find(1)=1, Find(5)=1, Add (1,5)=65 Failed, w=109\",\"Find(1)=1, Find(3)=1, Add (1,3)=68 Failed, w=109\",\"Find(0)=0, Find(1)=1, Add (0,1)=73 Succeeded, w=182\",\"Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,73],[1,2,17],[1,3,68],[1,4,37],[1,5,65],[2,5,83],[3,4,38],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=17,(4,5)=17,(1,4)=37,(3,4)=38,(1,5)=65,(1,3)=68,(0,1)=73,(2,5)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=17 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=37 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4}, Find(3)=3, Find(4)=1, Add (3,4)=38 Succeeded, w=109\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=65 Failed, w=109\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=68 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=73 Succeeded, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=83 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,7],[0,2,25],[1,2,92],[1,4,93],[2,4,56]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[1,2,92],[1,4,93],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[1,2,92],[1,4,93],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,4)\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[1,2,92],[1,4,93],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (0,2)=25, w=32\",\"Add (2,4)=56, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[1,2,92],[1,4,93],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (0,2)=25 Succeeded, w=32\",\"Add (2,4)=56 Succeeded, w=88\",\"Add (1,2)=92 Failed, w=88\",\"Add (1,4)=93 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[1,2,92],[1,4,93],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,2)=25,(2,4)=56,(1,2)=92,(1,4)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=32\",\"Find(2)=0, Find(4)=4, Add (2,4)=56 Succeeded, w=88\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=88\",\"Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,7],[0,2,25],[1,2,92],[1,4,93],[2,4,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,2)=25,(2,4)=56,(1,2)=92,(1,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=56 Succeeded, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=88\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=93 Failed, w=88\"],\"Answer\":88}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,65],[0,2,74],[0,3,56],[0,4,28],[0,5,42],[0,6,66],[1,3,18],[1,4,33],[1,5,60],[1,6,1],[2,4,67],[2,5,54],[2,6,83],[3,4,3],[3,5,23],[3,6,70],[4,5,90],[5,6,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,74],[0,3,56],[0,4,28],[0,5,42],[0,6,66],[1,3,18],[1,4,33],[1,5,60],[1,6,1],[2,4,67],[2,5,54],[2,6,83],[3,4,3],[3,5,23],[3,6,70],[4,5,90],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,74],[0,3,56],[0,4,28],[0,5,42],[0,6,66],[1,3,18],[1,4,33],[1,5,60],[1,6,1],[2,4,67],[2,5,54],[2,6,83],[3,4,3],[3,5,23],[3,6,70],[4,5,90],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (2,5)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,74],[0,3,56],[0,4,28],[0,5,42],[0,6,66],[1,3,18],[1,4,33],[1,5,60],[1,6,1],[2,4,67],[2,5,54],[2,6,83],[3,4,3],[3,5,23],[3,6,70],[4,5,90],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (3,4)=3, w=4\",\"Add (1,3)=18, w=22\",\"Add (3,5)=23, w=45\",\"Add (0,4)=28, w=73\",\"Add (2,5)=54, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,74],[0,3,56],[0,4,28],[0,5,42],[0,6,66],[1,3,18],[1,4,33],[1,5,60],[1,6,1],[2,4,67],[2,5,54],[2,6,83],[3,4,3],[3,5,23],[3,6,70],[4,5,90],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (3,4)=3 Succeeded, w=4\",\"Add (1,3)=18 Succeeded, w=22\",\"Add (3,5)=23 Succeeded, w=45\",\"Add (0,4)=28 Succeeded, w=73\",\"Add (1,4)=33 Failed, w=73\",\"Add (5,6)=39 Failed, w=73\",\"Add (0,5)=42 Failed, w=73\",\"Add (2,5)=54 Succeeded, w=127\",\"Add (0,3)=56 Failed, w=127\",\"Add (1,5)=60 Failed, w=127\",\"Add (0,1)=65 Failed, w=127\",\"Add (0,6)=66 Failed, w=127\",\"Add (2,4)=67 Failed, w=127\",\"Add (3,6)=70 Failed, w=127\",\"Add (0,2)=74 Failed, w=127\",\"Add (2,6)=83 Failed, w=127\",\"Add (4,5)=90 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,74],[0,3,56],[0,4,28],[0,5,42],[0,6,66],[1,3,18],[1,4,33],[1,5,60],[1,6,1],[2,4,67],[2,5,54],[2,6,83],[3,4,3],[3,5,23],[3,6,70],[4,5,90],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(3,4)=3,(1,3)=18,(3,5)=23,(0,4)=28,(1,4)=33,(5,6)=39,(0,5)=42,(2,5)=54,(0,3)=56,(1,5)=60,(0,1)=65,(0,6)=66,(2,4)=67,(3,6)=70,(0,2)=74,(2,6)=83,(4,5)=90]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=22\",\"Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=45\",\"Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=73\",\"Find(1)=1, Find(4)=1, Add (1,4)=33 Failed, w=73\",\"Find(5)=1, Find(6)=1, Add (5,6)=39 Failed, w=73\",\"Find(0)=1, Find(5)=1, Add (0,5)=42 Failed, w=73\",\"Find(2)=2, Find(5)=1, Add (2,5)=54 Succeeded, w=127\",\"Find(0)=1, Find(3)=1, Add (0,3)=56 Failed, w=127\",\"Find(1)=1, Find(5)=1, Add (1,5)=60 Failed, w=127\",\"Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=127\",\"Find(0)=1, Find(6)=1, Add (0,6)=66 Failed, w=127\",\"Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=127\",\"Find(3)=1, Find(6)=1, Add (3,6)=70 Failed, w=127\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=127\",\"Find(2)=1, Find(6)=1, Add (2,6)=83 Failed, w=127\",\"Find(4)=1, Find(5)=1, Add (4,5)=90 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,65],[0,2,74],[0,3,56],[0,4,28],[0,5,42],[0,6,66],[1,3,18],[1,4,33],[1,5,60],[1,6,1],[2,4,67],[2,5,54],[2,6,83],[3,4,3],[3,5,23],[3,6,70],[4,5,90],[5,6,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(3,4)=3,(1,3)=18,(3,5)=23,(0,4)=28,(1,4)=33,(5,6)=39,(0,5)=42,(2,5)=54,(0,3)=56,(1,5)=60,(0,1)=65,(0,6)=66,(2,4)=67,(3,6)=70,(0,2)=74,(2,6)=83,(4,5)=90]\",\"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)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 1}, Find(3)=3, Find(4)=4, Add (3,4)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 3, 5: 5, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 3, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=23 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=28 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=33 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=39 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=42 Failed, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=2, Find(5)=1, Add (2,5)=54 Succeeded, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=56 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=60 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=65 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=66 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=70 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=83 Failed, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=90 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,58],[0,3,41],[0,4,56],[0,5,5],[1,2,60],[1,5,59],[2,4,96],[2,5,70],[3,4,79],[3,5,41],[4,5,38]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,58],[0,3,41],[0,4,56],[0,5,5],[1,2,60],[1,5,59],[2,4,96],[2,5,70],[3,4,79],[3,5,41],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,58],[0,3,41],[0,4,56],[0,5,5],[1,2,60],[1,5,59],[2,4,96],[2,5,70],[3,4,79],[3,5,41],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,58],[0,3,41],[0,4,56],[0,5,5],[1,2,60],[1,5,59],[2,4,96],[2,5,70],[3,4,79],[3,5,41],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (4,5)=38, w=43\",\"Add (0,3)=41, w=84\",\"Add (0,2)=58, w=142\",\"Add (1,5)=59, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,58],[0,3,41],[0,4,56],[0,5,5],[1,2,60],[1,5,59],[2,4,96],[2,5,70],[3,4,79],[3,5,41],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (4,5)=38 Succeeded, w=43\",\"Add (0,3)=41 Succeeded, w=84\",\"Add (3,5)=41 Failed, w=84\",\"Add (0,4)=56 Failed, w=84\",\"Add (0,2)=58 Succeeded, w=142\",\"Add (1,5)=59 Succeeded, w=201\",\"Add (1,2)=60 Failed, w=201\",\"Add (2,5)=70 Failed, w=201\",\"Add (3,4)=79 Failed, w=201\",\"Add (2,4)=96 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,58],[0,3,41],[0,4,56],[0,5,5],[1,2,60],[1,5,59],[2,4,96],[2,5,70],[3,4,79],[3,5,41],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(4,5)=38,(0,3)=41,(3,5)=41,(0,4)=56,(0,2)=58,(1,5)=59,(1,2)=60,(2,5)=70,(3,4)=79,(2,4)=96]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(4)=4, Find(5)=0, Add (4,5)=38 Succeeded, w=43\",\"Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=84\",\"Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=84\",\"Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=84\",\"Find(0)=0, Find(2)=2, Add (0,2)=58 Succeeded, w=142\",\"Find(1)=1, Find(5)=0, Add (1,5)=59 Succeeded, w=201\",\"Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=201\",\"Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=201\",\"Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=201\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,58],[0,3,41],[0,4,56],[0,5,5],[1,2,60],[1,5,59],[2,4,96],[2,5,70],[3,4,79],[3,5,41],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(4,5)=38,(0,3)=41,(3,5)=41,(0,4)=56,(0,2)=58,(1,5)=59,(1,2)=60,(2,5)=70,(3,4)=79,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=38 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=84\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=41 Failed, w=84\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=84\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=2, Add (0,2)=58 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=59 Succeeded, w=201\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=201\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=70 Failed, w=201\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=79 Failed, w=201\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,87],[0,3,39],[0,4,10],[0,5,46],[0,6,57],[1,2,21],[1,3,51],[1,4,100],[1,6,60],[2,3,81],[2,5,93],[2,6,24],[3,5,80],[5,6,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,87],[0,3,39],[0,4,10],[0,5,46],[0,6,57],[1,2,21],[1,3,51],[1,4,100],[1,6,60],[2,3,81],[2,5,93],[2,6,24],[3,5,80],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":191}",
"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],[0,3,39],[0,4,10],[0,5,46],[0,6,57],[1,2,21],[1,3,51],[1,4,100],[1,6,60],[2,3,81],[2,5,93],[2,6,24],[3,5,80],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (1,3)\"],\"Answer\":191}",
"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],[0,3,39],[0,4,10],[0,5,46],[0,6,57],[1,2,21],[1,3,51],[1,4,100],[1,6,60],[2,3,81],[2,5,93],[2,6,24],[3,5,80],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=10, w=10\",\"Add (1,2)=21, w=31\",\"Add (2,6)=24, w=55\",\"Add (0,3)=39, w=94\",\"Add (0,5)=46, w=140\",\"Add (1,3)=51, w=191\"],\"Answer\":191}",
"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],[0,3,39],[0,4,10],[0,5,46],[0,6,57],[1,2,21],[1,3,51],[1,4,100],[1,6,60],[2,3,81],[2,5,93],[2,6,24],[3,5,80],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=10 Succeeded, w=10\",\"Add (1,2)=21 Succeeded, w=31\",\"Add (2,6)=24 Succeeded, w=55\",\"Add (0,3)=39 Succeeded, w=94\",\"Add (0,5)=46 Succeeded, w=140\",\"Add (1,3)=51 Succeeded, w=191\",\"Add (0,6)=57 Failed, w=191\",\"Add (1,6)=60 Failed, w=191\",\"Add (5,6)=68 Failed, w=191\",\"Add (3,5)=80 Failed, w=191\",\"Add (2,3)=81 Failed, w=191\",\"Add (0,2)=87 Failed, w=191\",\"Add (2,5)=93 Failed, w=191\",\"Add (1,4)=100 Failed, w=191\"],\"Answer\":191}",
"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],[0,3,39],[0,4,10],[0,5,46],[0,6,57],[1,2,21],[1,3,51],[1,4,100],[1,6,60],[2,3,81],[2,5,93],[2,6,24],[3,5,80],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=10,(1,2)=21,(2,6)=24,(0,3)=39,(0,5)=46,(1,3)=51,(0,6)=57,(1,6)=60,(5,6)=68,(3,5)=80,(2,3)=81,(0,2)=87,(2,5)=93,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=31\",\"Find(2)=1, Find(6)=6, Add (2,6)=24 Succeeded, w=55\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=94\",\"Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=140\",\"Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=191\",\"Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=191\",\"Find(1)=1, Find(6)=1, Add (1,6)=60 Failed, w=191\",\"Find(5)=1, Find(6)=1, Add (5,6)=68 Failed, w=191\",\"Find(3)=1, Find(5)=1, Add (3,5)=80 Failed, w=191\",\"Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=191\",\"Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=191\",\"Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=191\",\"Find(1)=1, Find(4)=1, Add (1,4)=100 Failed, w=191\"],\"Answer\":191}",
"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],[0,3,39],[0,4,10],[0,5,46],[0,6,57],[1,2,21],[1,3,51],[1,4,100],[1,6,60],[2,3,81],[2,5,93],[2,6,24],[3,5,80],[5,6,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=10,(1,2)=21,(2,6)=24,(0,3)=39,(0,5)=46,(1,3)=51,(0,6)=57,(1,6)=60,(5,6)=68,(3,5)=80,(2,3)=81,(0,2)=87,(2,5)=93,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=21 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=24 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 5, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=94\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=1, Find(3)=0, Add (1,3)=51 Succeeded, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=57 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=60 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=68 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=80 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=87 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=93 Failed, w=191\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=100 Failed, w=191\"],\"Answer\":191}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,22],[0,3,6],[0,4,2],[0,5,59],[1,2,52],[1,5,37],[2,3,40],[2,5,79],[3,4,3],[3,5,47],[4,5,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,3,6],[0,4,2],[0,5,59],[1,2,52],[1,5,37],[2,3,40],[2,5,79],[3,4,3],[3,5,47],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,3,6],[0,4,2],[0,5,59],[1,2,52],[1,5,37],[2,3,40],[2,5,79],[3,4,3],[3,5,47],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,3,6],[0,4,2],[0,5,59],[1,2,52],[1,5,37],[2,3,40],[2,5,79],[3,4,3],[3,5,47],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (3,4)=3, w=5\",\"Add (0,1)=22, w=27\",\"Add (1,5)=37, w=64\",\"Add (2,3)=40, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,3,6],[0,4,2],[0,5,59],[1,2,52],[1,5,37],[2,3,40],[2,5,79],[3,4,3],[3,5,47],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,4)=3 Succeeded, w=5\",\"Add (0,3)=6 Failed, w=5\",\"Add (0,1)=22 Succeeded, w=27\",\"Add (1,5)=37 Succeeded, w=64\",\"Add (2,3)=40 Succeeded, w=104\",\"Add (3,5)=47 Failed, w=104\",\"Add (4,5)=47 Failed, w=104\",\"Add (1,2)=52 Failed, w=104\",\"Add (0,5)=59 Failed, w=104\",\"Add (2,5)=79 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,3,6],[0,4,2],[0,5,59],[1,2,52],[1,5,37],[2,3,40],[2,5,79],[3,4,3],[3,5,47],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,4)=3,(0,3)=6,(0,1)=22,(1,5)=37,(2,3)=40,(3,5)=47,(4,5)=47,(1,2)=52,(0,5)=59,(2,5)=79]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(4)=0, Add (3,4)=3 Succeeded, w=5\",\"Find(0)=0, Find(3)=0, Add (0,3)=6 Failed, w=5\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=27\",\"Find(1)=0, Find(5)=5, Add (1,5)=37 Succeeded, w=64\",\"Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=104\",\"Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=104\",\"Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=104\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=104\",\"Find(0)=0, Find(5)=0, Add (0,5)=59 Failed, w=104\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,3,6],[0,4,2],[0,5,59],[1,2,52],[1,5,37],[2,3,40],[2,5,79],[3,4,3],[3,5,47],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,4)=3,(0,3)=6,(0,1)=22,(1,5)=37,(2,3)=40,(3,5)=47,(4,5)=47,(1,2)=52,(0,5)=59,(2,5)=79]\",\"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: 0, 4: 0, 5: 5}, Find(3)=3, Find(4)=0, Add (3,4)=3 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=0, Add (0,3)=6 Failed, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=37 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=40 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=47 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=59 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,63],[0,2,25],[0,3,16],[1,2,10],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,25],[0,3,16],[1,2,10],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,25],[0,3,16],[1,2,10],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,25],[0,3,16],[1,2,10],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (0,3)=16, w=26\",\"Add (2,3)=21, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,25],[0,3,16],[1,2,10],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (0,3)=16 Succeeded, w=26\",\"Add (2,3)=21 Succeeded, w=47\",\"Add (0,2)=25 Failed, w=47\",\"Add (0,1)=63 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,25],[0,3,16],[1,2,10],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,3)=16,(2,3)=21,(0,2)=25,(0,1)=63]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=26\",\"Find(2)=1, Find(3)=0, Add (2,3)=21 Succeeded, w=47\",\"Find(0)=1, Find(2)=1, Add (0,2)=25 Failed, w=47\",\"Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,63],[0,2,25],[0,3,16],[1,2,10],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,3)=16,(2,3)=21,(0,2)=25,(0,1)=63]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=16 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=21 Succeeded, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=25 Failed, w=47\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=63 Failed, w=47\"],\"Answer\":47}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,57],[0,2,99],[0,3,11],[1,2,68],[2,3,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,99],[0,3,11],[1,2,68],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,99],[0,3,11],[1,2,68],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,99],[0,3,11],[1,2,68],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (0,1)=57, w=68\",\"Add (1,2)=68, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,99],[0,3,11],[1,2,68],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (0,1)=57 Succeeded, w=68\",\"Add (1,2)=68 Succeeded, w=136\",\"Add (2,3)=95 Failed, w=136\",\"Add (0,2)=99 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,99],[0,3,11],[1,2,68],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,1)=57,(1,2)=68,(2,3)=95,(0,2)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=68\",\"Find(1)=0, Find(2)=2, Add (1,2)=68 Succeeded, w=136\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=136\",\"Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,57],[0,2,99],[0,3,11],[1,2,68],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,1)=57,(1,2)=68,(2,3)=95,(0,2)=99]\",\"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(0)=0, Find(1)=1, Add (0,1)=57 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=68 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=99 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,16],[1,4,99],[2,5,74],[3,4,56],[3,5,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,16],[1,4,99],[2,5,74],[3,4,56],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":279}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,16],[1,4,99],[2,5,74],[3,4,56],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":279}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,16],[1,4,99],[2,5,74],[3,4,56],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16, w=16\",\"Add (3,5)=34, w=50\",\"Add (3,4)=56, w=106\",\"Add (2,5)=74, w=180\",\"Add (1,4)=99, w=279\"],\"Answer\":279}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,16],[1,4,99],[2,5,74],[3,4,56],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=16 Succeeded, w=16\",\"Add (3,5)=34 Succeeded, w=50\",\"Add (3,4)=56 Succeeded, w=106\",\"Add (2,5)=74 Succeeded, w=180\",\"Add (1,4)=99 Succeeded, w=279\"],\"Answer\":279}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,16],[1,4,99],[2,5,74],[3,4,56],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(3,5)=34,(3,4)=56,(2,5)=74,(1,4)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Find(3)=3, Find(5)=5, Add (3,5)=34 Succeeded, w=50\",\"Find(3)=3, Find(4)=0, Add (3,4)=56 Succeeded, w=106\",\"Find(2)=2, Find(5)=3, Add (2,5)=74 Succeeded, w=180\",\"Find(1)=1, Find(4)=3, Add (1,4)=99 Succeeded, w=279\"],\"Answer\":279}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,16],[1,4,99],[2,5,74],[3,4,56],[3,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=16,(3,5)=34,(3,4)=56,(2,5)=74,(1,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=34 Succeeded, w=50\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(3)=3, Find(4)=0, Add (3,4)=56 Succeeded, w=106\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 0, 5: 3}, Find(2)=2, Find(5)=3, Add (2,5)=74 Succeeded, w=180\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3}, Find(1)=1, Find(4)=3, Add (1,4)=99 Succeeded, w=279\"],\"Answer\":279}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,51],[0,2,66],[0,4,27],[1,2,72],[1,3,92],[1,4,100],[2,3,85],[2,4,58],[3,4,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,66],[0,4,27],[1,2,72],[1,3,92],[1,4,100],[2,3,85],[2,4,58],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,66],[0,4,27],[1,2,72],[1,3,92],[1,4,100],[2,3,85],[2,4,58],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,66],[0,4,27],[1,2,72],[1,3,92],[1,4,100],[2,3,85],[2,4,58],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=27, w=27\",\"Add (0,1)=51, w=78\",\"Add (2,4)=58, w=136\",\"Add (3,4)=79, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,66],[0,4,27],[1,2,72],[1,3,92],[1,4,100],[2,3,85],[2,4,58],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=27 Succeeded, w=27\",\"Add (0,1)=51 Succeeded, w=78\",\"Add (2,4)=58 Succeeded, w=136\",\"Add (0,2)=66 Failed, w=136\",\"Add (1,2)=72 Failed, w=136\",\"Add (3,4)=79 Succeeded, w=215\",\"Add (2,3)=85 Failed, w=215\",\"Add (1,3)=92 Failed, w=215\",\"Add (1,4)=100 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,66],[0,4,27],[1,2,72],[1,3,92],[1,4,100],[2,3,85],[2,4,58],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=27,(0,1)=51,(2,4)=58,(0,2)=66,(1,2)=72,(3,4)=79,(2,3)=85,(1,3)=92,(1,4)=100]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=27\",\"Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=78\",\"Find(2)=2, Find(4)=0, Add (2,4)=58 Succeeded, w=136\",\"Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=136\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=136\",\"Find(3)=3, Find(4)=0, Add (3,4)=79 Succeeded, w=215\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=215\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=215\",\"Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,51],[0,2,66],[0,4,27],[1,2,72],[1,3,92],[1,4,100],[2,3,85],[2,4,58],[3,4,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=27,(0,1)=51,(2,4)=58,(0,2)=66,(1,2)=72,(3,4)=79,(2,3)=85,(1,3)=92,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=51 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=58 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=79 Succeeded, w=215\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=215\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=215\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=100 Failed, w=215\"],\"Answer\":215}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,33],[0,3,55],[0,4,82],[1,2,7],[1,3,94],[1,4,92],[2,3,70],[2,4,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,3,55],[0,4,82],[1,2,7],[1,3,94],[1,4,92],[2,3,70],[2,4,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,3,55],[0,4,82],[1,2,7],[1,3,94],[1,4,92],[2,3,70],[2,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,3,55],[0,4,82],[1,2,7],[1,3,94],[1,4,92],[2,3,70],[2,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7, w=7\",\"Add (0,2)=33, w=40\",\"Add (0,3)=55, w=95\",\"Add (0,4)=82, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,3,55],[0,4,82],[1,2,7],[1,3,94],[1,4,92],[2,3,70],[2,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=7 Succeeded, w=7\",\"Add (0,2)=33 Succeeded, w=40\",\"Add (0,3)=55 Succeeded, w=95\",\"Add (2,3)=70 Failed, w=95\",\"Add (0,4)=82 Succeeded, w=177\",\"Add (2,4)=86 Failed, w=177\",\"Add (1,4)=92 Failed, w=177\",\"Add (1,3)=94 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,3,55],[0,4,82],[1,2,7],[1,3,94],[1,4,92],[2,3,70],[2,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(0,2)=33,(0,3)=55,(2,3)=70,(0,4)=82,(2,4)=86,(1,4)=92,(1,3)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=1, Add (0,2)=33 Succeeded, w=40\",\"Find(0)=1, Find(3)=3, Add (0,3)=55 Succeeded, w=95\",\"Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=95\",\"Find(0)=1, Find(4)=4, Add (0,4)=82 Succeeded, w=177\",\"Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=177\",\"Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=177\",\"Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,33],[0,3,55],[0,4,82],[1,2,7],[1,3,94],[1,4,92],[2,3,70],[2,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=7,(0,2)=33,(0,3)=55,(2,3)=70,(0,4)=82,(2,4)=86,(1,4)=92,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=33 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(3)=3, Add (0,3)=55 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=1, Add (2,3)=70 Failed, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=82 Succeeded, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=86 Failed, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=92 Failed, w=177\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,92],[0,2,49],[0,3,17],[1,2,11],[1,3,82],[2,3,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[0,3,17],[1,2,11],[1,3,82],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[0,3,17],[1,2,11],[1,3,82],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[0,3,17],[1,2,11],[1,3,82],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11, w=11\",\"Add (0,3)=17, w=28\",\"Add (2,3)=21, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[0,3,17],[1,2,11],[1,3,82],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11 Succeeded, w=11\",\"Add (0,3)=17 Succeeded, w=28\",\"Add (2,3)=21 Succeeded, w=49\",\"Add (0,2)=49 Failed, w=49\",\"Add (1,3)=82 Failed, w=49\",\"Add (0,1)=92 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[0,3,17],[1,2,11],[1,3,82],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,3)=17,(2,3)=21,(0,2)=49,(1,3)=82,(0,1)=92]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=28\",\"Find(2)=1, Find(3)=0, Add (2,3)=21 Succeeded, w=49\",\"Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=49\",\"Find(1)=1, Find(3)=1, Add (1,3)=82 Failed, w=49\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,92],[0,2,49],[0,3,17],[1,2,11],[1,3,82],[2,3,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(0,3)=17,(2,3)=21,(0,2)=49,(1,3)=82,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=28\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=21 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=82 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=49\"],\"Answer\":49}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,29],[0,2,11],[0,3,95],[0,4,16],[1,2,19],[1,3,73],[1,4,16],[2,3,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,11],[0,3,95],[0,4,16],[1,2,19],[1,3,73],[1,4,16],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,11],[0,3,95],[0,4,16],[1,2,19],[1,3,73],[1,4,16],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,11],[0,3,95],[0,4,16],[1,2,19],[1,3,73],[1,4,16],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,2)=11, w=12\",\"Add (0,4)=16, w=28\",\"Add (1,4)=16, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,11],[0,3,95],[0,4,16],[1,2,19],[1,3,73],[1,4,16],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,2)=11 Succeeded, w=12\",\"Add (0,4)=16 Succeeded, w=28\",\"Add (1,4)=16 Succeeded, w=44\",\"Add (1,2)=19 Failed, w=44\",\"Add (0,1)=29 Failed, w=44\",\"Add (1,3)=73 Failed, w=44\",\"Add (0,3)=95 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,11],[0,3,95],[0,4,16],[1,2,19],[1,3,73],[1,4,16],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=11,(0,4)=16,(1,4)=16,(1,2)=19,(0,1)=29,(1,3)=73,(0,3)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=12\",\"Find(0)=2, Find(4)=4, Add (0,4)=16 Succeeded, w=28\",\"Find(1)=1, Find(4)=2, Add (1,4)=16 Succeeded, w=44\",\"Find(1)=2, Find(2)=2, Add (1,2)=19 Failed, w=44\",\"Find(0)=2, Find(1)=2, Add (0,1)=29 Failed, w=44\",\"Find(1)=2, Find(3)=2, Add (1,3)=73 Failed, w=44\",\"Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,29],[0,2,11],[0,3,95],[0,4,16],[1,2,19],[1,3,73],[1,4,16],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,2)=11,(0,4)=16,(1,4)=16,(1,2)=19,(0,1)=29,(1,3)=73,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=4, Add (0,4)=16 Succeeded, w=28\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=16 Succeeded, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=19 Failed, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=29 Failed, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=73 Failed, w=44\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=44\"],\"Answer\":44}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,3,88],[1,2,24],[1,3,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,3,88],[1,2,24],[1,3,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,3,88],[1,2,24],[1,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,3,88],[1,2,24],[1,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=24, w=24\",\"Add (1,3)=40, w=64\",\"Add (0,1)=44, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,3,88],[1,2,24],[1,3,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=24 Succeeded, w=24\",\"Add (1,3)=40 Succeeded, w=64\",\"Add (0,1)=44 Succeeded, w=108\",\"Add (0,3)=88 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,3,88],[1,2,24],[1,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=24,(1,3)=40,(0,1)=44,(0,3)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=64\",\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=108\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,3,88],[1,2,24],[1,3,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=24,(1,3)=40,(0,1)=44,(0,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=64\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=108\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,79],[0,2,30],[0,3,46],[0,4,40],[0,6,61],[1,2,79],[1,3,20],[1,4,88],[1,5,64],[1,6,54],[1,7,4],[2,4,33],[2,5,12],[2,6,57],[2,7,82],[3,4,53],[3,5,10],[3,6,14],[3,7,11],[4,5,3],[4,6,33],[4,7,49],[5,6,52],[5,7,19],[6,7,31]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,30],[0,3,46],[0,4,40],[0,6,61],[1,2,79],[1,3,20],[1,4,88],[1,5,64],[1,6,54],[1,7,4],[2,4,33],[2,5,12],[2,6,57],[2,7,82],[3,4,53],[3,5,10],[3,6,14],[3,7,11],[4,5,3],[4,6,33],[4,7,49],[5,6,52],[5,7,19],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,30],[0,3,46],[0,4,40],[0,6,61],[1,2,79],[1,3,20],[1,4,88],[1,5,64],[1,6,54],[1,7,4],[2,4,33],[2,5,12],[2,6,57],[2,7,82],[3,4,53],[3,5,10],[3,6,14],[3,7,11],[4,5,3],[4,6,33],[4,7,49],[5,6,52],[5,7,19],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,7)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (0,2)\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,30],[0,3,46],[0,4,40],[0,6,61],[1,2,79],[1,3,20],[1,4,88],[1,5,64],[1,6,54],[1,7,4],[2,4,33],[2,5,12],[2,6,57],[2,7,82],[3,4,53],[3,5,10],[3,6,14],[3,7,11],[4,5,3],[4,6,33],[4,7,49],[5,6,52],[5,7,19],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3, w=3\",\"Add (1,7)=4, w=7\",\"Add (3,5)=10, w=17\",\"Add (3,7)=11, w=28\",\"Add (2,5)=12, w=40\",\"Add (3,6)=14, w=54\",\"Add (0,2)=30, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,30],[0,3,46],[0,4,40],[0,6,61],[1,2,79],[1,3,20],[1,4,88],[1,5,64],[1,6,54],[1,7,4],[2,4,33],[2,5,12],[2,6,57],[2,7,82],[3,4,53],[3,5,10],[3,6,14],[3,7,11],[4,5,3],[4,6,33],[4,7,49],[5,6,52],[5,7,19],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=3 Succeeded, w=3\",\"Add (1,7)=4 Succeeded, w=7\",\"Add (3,5)=10 Succeeded, w=17\",\"Add (3,7)=11 Succeeded, w=28\",\"Add (2,5)=12 Succeeded, w=40\",\"Add (3,6)=14 Succeeded, w=54\",\"Add (5,7)=19 Failed, w=54\",\"Add (1,3)=20 Failed, w=54\",\"Add (0,2)=30 Succeeded, w=84\",\"Add (6,7)=31 Failed, w=84\",\"Add (2,4)=33 Failed, w=84\",\"Add (4,6)=33 Failed, w=84\",\"Add (0,4)=40 Failed, w=84\",\"Add (0,3)=46 Failed, w=84\",\"Add (4,7)=49 Failed, w=84\",\"Add (5,6)=52 Failed, w=84\",\"Add (3,4)=53 Failed, w=84\",\"Add (1,6)=54 Failed, w=84\",\"Add (2,6)=57 Failed, w=84\",\"Add (0,6)=61 Failed, w=84\",\"Add (1,5)=64 Failed, w=84\",\"Add (0,1)=79 Failed, w=84\",\"Add (1,2)=79 Failed, w=84\",\"Add (2,7)=82 Failed, w=84\",\"Add (1,4)=88 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,30],[0,3,46],[0,4,40],[0,6,61],[1,2,79],[1,3,20],[1,4,88],[1,5,64],[1,6,54],[1,7,4],[2,4,33],[2,5,12],[2,6,57],[2,7,82],[3,4,53],[3,5,10],[3,6,14],[3,7,11],[4,5,3],[4,6,33],[4,7,49],[5,6,52],[5,7,19],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(1,7)=4,(3,5)=10,(3,7)=11,(2,5)=12,(3,6)=14,(5,7)=19,(1,3)=20,(0,2)=30,(6,7)=31,(2,4)=33,(4,6)=33,(0,4)=40,(0,3)=46,(4,7)=49,(5,6)=52,(3,4)=53,(1,6)=54,(2,6)=57,(0,6)=61,(1,5)=64,(0,1)=79,(1,2)=79,(2,7)=82,(1,4)=88]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=7\",\"Find(3)=3, Find(5)=4, Add (3,5)=10 Succeeded, w=17\",\"Find(3)=4, Find(7)=1, Add (3,7)=11 Succeeded, w=28\",\"Find(2)=2, Find(5)=4, Add (2,5)=12 Succeeded, w=40\",\"Find(3)=4, Find(6)=6, Add (3,6)=14 Succeeded, w=54\",\"Find(5)=4, Find(7)=4, Add (5,7)=19 Failed, w=54\",\"Find(1)=4, Find(3)=4, Add (1,3)=20 Failed, w=54\",\"Find(0)=0, Find(2)=4, Add (0,2)=30 Succeeded, w=84\",\"Find(6)=4, Find(7)=4, Add (6,7)=31 Failed, w=84\",\"Find(2)=4, Find(4)=4, Add (2,4)=33 Failed, w=84\",\"Find(4)=4, Find(6)=4, Add (4,6)=33 Failed, w=84\",\"Find(0)=4, Find(4)=4, Add (0,4)=40 Failed, w=84\",\"Find(0)=4, Find(3)=4, Add (0,3)=46 Failed, w=84\",\"Find(4)=4, Find(7)=4, Add (4,7)=49 Failed, w=84\",\"Find(5)=4, Find(6)=4, Add (5,6)=52 Failed, w=84\",\"Find(3)=4, Find(4)=4, Add (3,4)=53 Failed, w=84\",\"Find(1)=4, Find(6)=4, Add (1,6)=54 Failed, w=84\",\"Find(2)=4, Find(6)=4, Add (2,6)=57 Failed, w=84\",\"Find(0)=4, Find(6)=4, Add (0,6)=61 Failed, w=84\",\"Find(1)=4, Find(5)=4, Add (1,5)=64 Failed, w=84\",\"Find(0)=4, Find(1)=4, Add (0,1)=79 Failed, w=84\",\"Find(1)=4, Find(2)=4, Add (1,2)=79 Failed, w=84\",\"Find(2)=4, Find(7)=4, Add (2,7)=82 Failed, w=84\",\"Find(1)=4, Find(4)=4, Add (1,4)=88 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,79],[0,2,30],[0,3,46],[0,4,40],[0,6,61],[1,2,79],[1,3,20],[1,4,88],[1,5,64],[1,6,54],[1,7,4],[2,4,33],[2,5,12],[2,6,57],[2,7,82],[3,4,53],[3,5,10],[3,6,14],[3,7,11],[4,5,3],[4,6,33],[4,7,49],[5,6,52],[5,7,19],[6,7,31]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=3,(1,7)=4,(3,5)=10,(3,7)=11,(2,5)=12,(3,6)=14,(5,7)=19,(1,3)=20,(0,2)=30,(6,7)=31,(2,4)=33,(4,6)=33,(0,4)=40,(0,3)=46,(4,7)=49,(5,6)=52,(3,4)=53,(1,6)=54,(2,6)=57,(0,6)=61,(1,5)=64,(0,1)=79,(1,2)=79,(2,7)=82,(1,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 1}, Find(3)=3, Find(5)=4, Add (3,5)=10 Succeeded, w=17\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 1}, Find(3)=4, Find(7)=1, Add (3,7)=11 Succeeded, w=28\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 1}, Find(2)=2, Find(5)=4, Add (2,5)=12 Succeeded, w=40\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 1}, Find(3)=4, Find(6)=6, Add (3,6)=14 Succeeded, w=54\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=19 Failed, w=54\",\"Parent: {0: 0, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=20 Failed, w=54\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=0, Find(2)=4, Add (0,2)=30 Succeeded, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=31 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=33 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=33 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=40 Failed, w=84\",\"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)=46 Failed, w=84\",\"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)=49 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(6)=4, Add (5,6)=52 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=53 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=54 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(6)=4, Add (2,6)=57 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=61 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=64 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=79 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=79 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=82 Failed, w=84\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=88 Failed, w=84\"],\"Answer\":84}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,64],[0,5,9],[0,6,58],[0,7,41],[1,2,39],[1,6,72],[1,7,81],[2,3,8],[2,4,29],[2,5,58],[2,6,18],[3,4,49],[3,5,87],[4,5,80],[4,6,42],[6,7,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,64],[0,5,9],[0,6,58],[0,7,41],[1,2,39],[1,6,72],[1,7,81],[2,3,8],[2,4,29],[2,5,58],[2,6,18],[3,4,49],[3,5,87],[4,5,80],[4,6,42],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,64],[0,5,9],[0,6,58],[0,7,41],[1,2,39],[1,6,72],[1,7,81],[2,3,8],[2,4,29],[2,5,58],[2,6,18],[3,4,49],[3,5,87],[4,5,80],[4,6,42],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (6,7)\",\"Add (2,6)\",\"Add (2,4)\",\"Add (1,2)\",\"Add (0,7)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,64],[0,5,9],[0,6,58],[0,7,41],[1,2,39],[1,6,72],[1,7,81],[2,3,8],[2,4,29],[2,5,58],[2,6,18],[3,4,49],[3,5,87],[4,5,80],[4,6,42],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,5)=9, w=17\",\"Add (6,7)=11, w=28\",\"Add (2,6)=18, w=46\",\"Add (2,4)=29, w=75\",\"Add (1,2)=39, w=114\",\"Add (0,7)=41, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,64],[0,5,9],[0,6,58],[0,7,41],[1,2,39],[1,6,72],[1,7,81],[2,3,8],[2,4,29],[2,5,58],[2,6,18],[3,4,49],[3,5,87],[4,5,80],[4,6,42],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,5)=9 Succeeded, w=17\",\"Add (6,7)=11 Succeeded, w=28\",\"Add (2,6)=18 Succeeded, w=46\",\"Add (2,4)=29 Succeeded, w=75\",\"Add (1,2)=39 Succeeded, w=114\",\"Add (0,7)=41 Succeeded, w=155\",\"Add (4,6)=42 Failed, w=155\",\"Add (3,4)=49 Failed, w=155\",\"Add (0,6)=58 Failed, w=155\",\"Add (2,5)=58 Failed, w=155\",\"Add (0,2)=64 Failed, w=155\",\"Add (1,6)=72 Failed, w=155\",\"Add (4,5)=80 Failed, w=155\",\"Add (1,7)=81 Failed, w=155\",\"Add (3,5)=87 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,64],[0,5,9],[0,6,58],[0,7,41],[1,2,39],[1,6,72],[1,7,81],[2,3,8],[2,4,29],[2,5,58],[2,6,18],[3,4,49],[3,5,87],[4,5,80],[4,6,42],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,5)=9,(6,7)=11,(2,6)=18,(2,4)=29,(1,2)=39,(0,7)=41,(4,6)=42,(3,4)=49,(0,6)=58,(2,5)=58,(0,2)=64,(1,6)=72,(4,5)=80,(1,7)=81,(3,5)=87]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=17\",\"Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=28\",\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=46\",\"Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=75\",\"Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=114\",\"Find(0)=0, Find(7)=2, Add (0,7)=41 Succeeded, w=155\",\"Find(4)=2, Find(6)=2, Add (4,6)=42 Failed, w=155\",\"Find(3)=2, Find(4)=2, Add (3,4)=49 Failed, w=155\",\"Find(0)=2, Find(6)=2, Add (0,6)=58 Failed, w=155\",\"Find(2)=2, Find(5)=2, Add (2,5)=58 Failed, w=155\",\"Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=155\",\"Find(1)=2, Find(6)=2, Add (1,6)=72 Failed, w=155\",\"Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=155\",\"Find(1)=2, Find(7)=2, Add (1,7)=81 Failed, w=155\",\"Find(3)=2, Find(5)=2, Add (3,5)=87 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,64],[0,5,9],[0,6,58],[0,7,41],[1,2,39],[1,6,72],[1,7,81],[2,3,8],[2,4,29],[2,5,58],[2,6,18],[3,4,49],[3,5,87],[4,5,80],[4,6,42],[6,7,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,5)=9,(6,7)=11,(2,6)=18,(2,4)=29,(1,2)=39,(0,7)=41,(4,6)=42,(3,4)=49,(0,6)=58,(2,5)=58,(0,2)=64,(1,6)=72,(4,5)=80,(1,7)=81,(3,5)=87]\",\"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)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=11 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 2, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 6}, Find(2)=2, Find(4)=4, Add (2,4)=29 Succeeded, w=75\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 6}, Find(1)=1, Find(2)=2, Add (1,2)=39 Succeeded, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=41 Succeeded, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=42 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=49 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=58 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=58 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=64 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=72 Failed, w=155\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=80 Failed, w=155\",\"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)=81 Failed, w=155\",\"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)=87 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,98],[0,3,28],[0,4,34],[0,5,3],[0,6,85],[1,2,43],[1,4,83],[1,5,20],[1,6,99],[1,7,49],[2,3,67],[2,5,20],[2,6,22],[2,7,19],[3,4,93],[3,6,53],[3,7,13],[4,6,30],[5,6,41],[5,7,87],[6,7,8]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,28],[0,4,34],[0,5,3],[0,6,85],[1,2,43],[1,4,83],[1,5,20],[1,6,99],[1,7,49],[2,3,67],[2,5,20],[2,6,22],[2,7,19],[3,4,93],[3,6,53],[3,7,13],[4,6,30],[5,6,41],[5,7,87],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,28],[0,4,34],[0,5,3],[0,6,85],[1,2,43],[1,4,83],[1,5,20],[1,6,99],[1,7,49],[2,3,67],[2,5,20],[2,6,22],[2,7,19],[3,4,93],[3,6,53],[3,7,13],[4,6,30],[5,6,41],[5,7,87],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (6,7)\",\"Add (3,7)\",\"Add (2,7)\",\"Add (1,5)\",\"Add (2,5)\",\"Add (4,6)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,28],[0,4,34],[0,5,3],[0,6,85],[1,2,43],[1,4,83],[1,5,20],[1,6,99],[1,7,49],[2,3,67],[2,5,20],[2,6,22],[2,7,19],[3,4,93],[3,6,53],[3,7,13],[4,6,30],[5,6,41],[5,7,87],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3, w=3\",\"Add (6,7)=8, w=11\",\"Add (3,7)=13, w=24\",\"Add (2,7)=19, w=43\",\"Add (1,5)=20, w=63\",\"Add (2,5)=20, w=83\",\"Add (4,6)=30, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,28],[0,4,34],[0,5,3],[0,6,85],[1,2,43],[1,4,83],[1,5,20],[1,6,99],[1,7,49],[2,3,67],[2,5,20],[2,6,22],[2,7,19],[3,4,93],[3,6,53],[3,7,13],[4,6,30],[5,6,41],[5,7,87],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=3 Succeeded, w=3\",\"Add (6,7)=8 Succeeded, w=11\",\"Add (3,7)=13 Succeeded, w=24\",\"Add (2,7)=19 Succeeded, w=43\",\"Add (1,5)=20 Succeeded, w=63\",\"Add (2,5)=20 Succeeded, w=83\",\"Add (2,6)=22 Failed, w=83\",\"Add (0,3)=28 Failed, w=83\",\"Add (4,6)=30 Succeeded, w=113\",\"Add (0,4)=34 Failed, w=113\",\"Add (5,6)=41 Failed, w=113\",\"Add (1,2)=43 Failed, w=113\",\"Add (1,7)=49 Failed, w=113\",\"Add (3,6)=53 Failed, w=113\",\"Add (2,3)=67 Failed, w=113\",\"Add (1,4)=83 Failed, w=113\",\"Add (0,6)=85 Failed, w=113\",\"Add (5,7)=87 Failed, w=113\",\"Add (3,4)=93 Failed, w=113\",\"Add (0,2)=98 Failed, w=113\",\"Add (1,6)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,28],[0,4,34],[0,5,3],[0,6,85],[1,2,43],[1,4,83],[1,5,20],[1,6,99],[1,7,49],[2,3,67],[2,5,20],[2,6,22],[2,7,19],[3,4,93],[3,6,53],[3,7,13],[4,6,30],[5,6,41],[5,7,87],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(6,7)=8,(3,7)=13,(2,7)=19,(1,5)=20,(2,5)=20,(2,6)=22,(0,3)=28,(4,6)=30,(0,4)=34,(5,6)=41,(1,2)=43,(1,7)=49,(3,6)=53,(2,3)=67,(1,4)=83,(0,6)=85,(5,7)=87,(3,4)=93,(0,2)=98,(1,6)=99]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=11\",\"Find(3)=3, Find(7)=6, Add (3,7)=13 Succeeded, w=24\",\"Find(2)=2, Find(7)=6, Add (2,7)=19 Succeeded, w=43\",\"Find(1)=1, Find(5)=0, Add (1,5)=20 Succeeded, w=63\",\"Find(2)=6, Find(5)=0, Add (2,5)=20 Succeeded, w=83\",\"Find(2)=6, Find(6)=6, Add (2,6)=22 Failed, w=83\",\"Find(0)=6, Find(3)=6, Add (0,3)=28 Failed, w=83\",\"Find(4)=4, Find(6)=6, Add (4,6)=30 Succeeded, w=113\",\"Find(0)=6, Find(4)=6, Add (0,4)=34 Failed, w=113\",\"Find(5)=6, Find(6)=6, Add (5,6)=41 Failed, w=113\",\"Find(1)=6, Find(2)=6, Add (1,2)=43 Failed, w=113\",\"Find(1)=6, Find(7)=6, Add (1,7)=49 Failed, w=113\",\"Find(3)=6, Find(6)=6, Add (3,6)=53 Failed, w=113\",\"Find(2)=6, Find(3)=6, Add (2,3)=67 Failed, w=113\",\"Find(1)=6, Find(4)=6, Add (1,4)=83 Failed, w=113\",\"Find(0)=6, Find(6)=6, Add (0,6)=85 Failed, w=113\",\"Find(5)=6, Find(7)=6, Add (5,7)=87 Failed, w=113\",\"Find(3)=6, Find(4)=6, Add (3,4)=93 Failed, w=113\",\"Find(0)=6, Find(2)=6, Add (0,2)=98 Failed, w=113\",\"Find(1)=6, Find(6)=6, Add (1,6)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,98],[0,3,28],[0,4,34],[0,5,3],[0,6,85],[1,2,43],[1,4,83],[1,5,20],[1,6,99],[1,7,49],[2,3,67],[2,5,20],[2,6,22],[2,7,19],[3,4,93],[3,6,53],[3,7,13],[4,6,30],[5,6,41],[5,7,87],[6,7,8]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=3,(6,7)=8,(3,7)=13,(2,7)=19,(1,5)=20,(2,5)=20,(2,6)=22,(0,3)=28,(4,6)=30,(0,4)=34,(5,6)=41,(1,2)=43,(1,7)=49,(3,6)=53,(2,3)=67,(1,4)=83,(0,6)=85,(5,7)=87,(3,4)=93,(0,2)=98,(1,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 6, 4: 4, 5: 0, 6: 6, 7: 6}, Find(3)=3, Find(7)=6, Add (3,7)=13 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 6, 4: 4, 5: 0, 6: 6, 7: 6}, Find(2)=2, Find(7)=6, Add (2,7)=19 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 6, 3: 6, 4: 4, 5: 0, 6: 6, 7: 6}, Find(1)=1, Find(5)=0, Add (1,5)=20 Succeeded, w=63\",\"Parent: {0: 6, 1: 0, 2: 6, 3: 6, 4: 4, 5: 0, 6: 6, 7: 6}, Find(2)=6, Find(5)=0, Add (2,5)=20 Succeeded, w=83\",\"Parent: {0: 6, 1: 0, 2: 6, 3: 6, 4: 4, 5: 0, 6: 6, 7: 6}, Find(2)=6, Find(6)=6, Add (2,6)=22 Failed, w=83\",\"Parent: {0: 6, 1: 0, 2: 6, 3: 6, 4: 4, 5: 0, 6: 6, 7: 6}, Find(0)=6, Find(3)=6, Add (0,3)=28 Failed, w=83\",\"Parent: {0: 6, 1: 0, 2: 6, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(4)=4, Find(6)=6, Add (4,6)=30 Succeeded, w=113\",\"Parent: {0: 6, 1: 0, 2: 6, 3: 6, 4: 6, 5: 0, 6: 6, 7: 6}, Find(0)=6, Find(4)=6, Add (0,4)=34 Failed, w=113\",\"Parent: {0: 6, 1: 0, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(6)=6, Add (5,6)=41 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(2)=6, Add (1,2)=43 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(7)=6, Add (1,7)=49 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(6)=6, Add (3,6)=53 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(3)=6, Add (2,3)=67 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(4)=6, Add (1,4)=83 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(6)=6, Add (0,6)=85 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(5)=6, Find(7)=6, Add (5,7)=87 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(3)=6, Find(4)=6, Add (3,4)=93 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(0)=6, Find(2)=6, Add (0,2)=98 Failed, w=113\",\"Parent: {0: 6, 1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6, 7: 6}, Find(1)=6, Find(6)=6, Add (1,6)=99 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,93],[0,2,38],[0,3,0],[0,4,48],[0,5,11],[0,6,72],[0,7,84],[1,3,71],[1,4,18],[1,5,75],[1,6,30],[1,7,39],[2,3,84],[2,4,53],[2,5,48],[3,4,8],[3,5,4],[3,6,91],[3,7,76],[4,5,64],[4,6,52],[4,7,55],[5,6,53],[5,7,74],[6,7,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,38],[0,3,0],[0,4,48],[0,5,11],[0,6,72],[0,7,84],[1,3,71],[1,4,18],[1,5,75],[1,6,30],[1,7,39],[2,3,84],[2,4,53],[2,5,48],[3,4,8],[3,5,4],[3,6,91],[3,7,76],[4,5,64],[4,6,52],[4,7,55],[5,6,53],[5,7,74],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,38],[0,3,0],[0,4,48],[0,5,11],[0,6,72],[0,7,84],[1,3,71],[1,4,18],[1,5,75],[1,6,30],[1,7,39],[2,3,84],[2,4,53],[2,5,48],[3,4,8],[3,5,4],[3,6,91],[3,7,76],[4,5,64],[4,6,52],[4,7,55],[5,6,53],[5,7,74],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,5)\",\"Add (3,4)\",\"Add (1,4)\",\"Add (6,7)\",\"Add (1,6)\",\"Add (0,2)\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,38],[0,3,0],[0,4,48],[0,5,11],[0,6,72],[0,7,84],[1,3,71],[1,4,18],[1,5,75],[1,6,30],[1,7,39],[2,3,84],[2,4,53],[2,5,48],[3,4,8],[3,5,4],[3,6,91],[3,7,76],[4,5,64],[4,6,52],[4,7,55],[5,6,53],[5,7,74],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (3,5)=4, w=4\",\"Add (3,4)=8, w=12\",\"Add (1,4)=18, w=30\",\"Add (6,7)=20, w=50\",\"Add (1,6)=30, w=80\",\"Add (0,2)=38, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,38],[0,3,0],[0,4,48],[0,5,11],[0,6,72],[0,7,84],[1,3,71],[1,4,18],[1,5,75],[1,6,30],[1,7,39],[2,3,84],[2,4,53],[2,5,48],[3,4,8],[3,5,4],[3,6,91],[3,7,76],[4,5,64],[4,6,52],[4,7,55],[5,6,53],[5,7,74],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (3,5)=4 Succeeded, w=4\",\"Add (3,4)=8 Succeeded, w=12\",\"Add (0,5)=11 Failed, w=12\",\"Add (1,4)=18 Succeeded, w=30\",\"Add (6,7)=20 Succeeded, w=50\",\"Add (1,6)=30 Succeeded, w=80\",\"Add (0,2)=38 Succeeded, w=118\",\"Add (1,7)=39 Failed, w=118\",\"Add (0,4)=48 Failed, w=118\",\"Add (2,5)=48 Failed, w=118\",\"Add (4,6)=52 Failed, w=118\",\"Add (2,4)=53 Failed, w=118\",\"Add (5,6)=53 Failed, w=118\",\"Add (4,7)=55 Failed, w=118\",\"Add (4,5)=64 Failed, w=118\",\"Add (1,3)=71 Failed, w=118\",\"Add (0,6)=72 Failed, w=118\",\"Add (5,7)=74 Failed, w=118\",\"Add (1,5)=75 Failed, w=118\",\"Add (3,7)=76 Failed, w=118\",\"Add (0,7)=84 Failed, w=118\",\"Add (2,3)=84 Failed, w=118\",\"Add (3,6)=91 Failed, w=118\",\"Add (0,1)=93 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,38],[0,3,0],[0,4,48],[0,5,11],[0,6,72],[0,7,84],[1,3,71],[1,4,18],[1,5,75],[1,6,30],[1,7,39],[2,3,84],[2,4,53],[2,5,48],[3,4,8],[3,5,4],[3,6,91],[3,7,76],[4,5,64],[4,6,52],[4,7,55],[5,6,53],[5,7,74],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,5)=4,(3,4)=8,(0,5)=11,(1,4)=18,(6,7)=20,(1,6)=30,(0,2)=38,(1,7)=39,(0,4)=48,(2,5)=48,(4,6)=52,(2,4)=53,(5,6)=53,(4,7)=55,(4,5)=64,(1,3)=71,(0,6)=72,(5,7)=74,(1,5)=75,(3,7)=76,(0,7)=84,(2,3)=84,(3,6)=91,(0,1)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(3)=0, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(3)=0, Find(4)=4, Add (3,4)=8 Succeeded, w=12\",\"Find(0)=0, Find(5)=0, Add (0,5)=11 Failed, w=12\",\"Find(1)=1, Find(4)=0, Add (1,4)=18 Succeeded, w=30\",\"Find(6)=6, Find(7)=7, Add (6,7)=20 Succeeded, w=50\",\"Find(1)=0, Find(6)=6, Add (1,6)=30 Succeeded, w=80\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=118\",\"Find(1)=0, Find(7)=0, Add (1,7)=39 Failed, w=118\",\"Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=118\",\"Find(2)=0, Find(5)=0, Add (2,5)=48 Failed, w=118\",\"Find(4)=0, Find(6)=0, Add (4,6)=52 Failed, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=118\",\"Find(5)=0, Find(6)=0, Add (5,6)=53 Failed, w=118\",\"Find(4)=0, Find(7)=0, Add (4,7)=55 Failed, w=118\",\"Find(4)=0, Find(5)=0, Add (4,5)=64 Failed, w=118\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=118\",\"Find(0)=0, Find(6)=0, Add (0,6)=72 Failed, w=118\",\"Find(5)=0, Find(7)=0, Add (5,7)=74 Failed, w=118\",\"Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=118\",\"Find(3)=0, Find(7)=0, Add (3,7)=76 Failed, w=118\",\"Find(0)=0, Find(7)=0, Add (0,7)=84 Failed, w=118\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=118\",\"Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=118\",\"Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,93],[0,2,38],[0,3,0],[0,4,48],[0,5,11],[0,6,72],[0,7,84],[1,3,71],[1,4,18],[1,5,75],[1,6,30],[1,7,39],[2,3,84],[2,4,53],[2,5,48],[3,4,8],[3,5,4],[3,6,91],[3,7,76],[4,5,64],[4,6,52],[4,7,55],[5,6,53],[5,7,74],[6,7,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(3,5)=4,(3,4)=8,(0,5)=11,(1,4)=18,(6,7)=20,(1,6)=30,(0,2)=38,(1,7)=39,(0,4)=48,(2,5)=48,(4,6)=52,(2,4)=53,(5,6)=53,(4,7)=55,(4,5)=64,(1,3)=71,(0,6)=72,(5,7)=74,(1,5)=75,(3,7)=76,(0,7)=84,(2,3)=84,(3,6)=91,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 7}, Find(3)=0, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(3)=0, Find(4)=4, Add (3,4)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=0, Add (0,5)=11 Failed, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=18 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=20 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(1)=0, Find(6)=6, Add (1,6)=30 Succeeded, w=80\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 6}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=118\",\"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)=39 Failed, w=118\",\"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)=48 Failed, w=118\",\"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)=48 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=52 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=53 Failed, w=118\",\"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)=53 Failed, w=118\",\"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)=55 Failed, w=118\",\"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)=64 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=72 Failed, w=118\",\"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=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=75 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=76 Failed, w=118\",\"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)=84 Failed, w=118\",\"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)=84 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=91 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,27],[0,4,94],[0,5,10],[1,2,39],[1,5,94],[2,3,34],[2,4,30],[2,5,19],[3,4,63],[3,5,11],[3,6,55],[3,7,56],[4,5,1],[4,6,86],[5,6,52],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,4,94],[0,5,10],[1,2,39],[1,5,94],[2,3,34],[2,4,30],[2,5,19],[3,4,63],[3,5,11],[3,6,55],[3,7,56],[4,5,1],[4,6,86],[5,6,52],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,4,94],[0,5,10],[1,2,39],[1,5,94],[2,3,34],[2,4,30],[2,5,19],[3,4,63],[3,5,11],[3,6,55],[3,7,56],[4,5,1],[4,6,86],[5,6,52],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,5)\",\"Add (1,2)\",\"Add (5,6)\",\"Add (6,7)\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,4,94],[0,5,10],[1,2,39],[1,5,94],[2,3,34],[2,4,30],[2,5,19],[3,4,63],[3,5,11],[3,6,55],[3,7,56],[4,5,1],[4,6,86],[5,6,52],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (0,5)=10, w=11\",\"Add (3,5)=11, w=22\",\"Add (2,5)=19, w=41\",\"Add (1,2)=39, w=80\",\"Add (5,6)=52, w=132\",\"Add (6,7)=53, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,4,94],[0,5,10],[1,2,39],[1,5,94],[2,3,34],[2,4,30],[2,5,19],[3,4,63],[3,5,11],[3,6,55],[3,7,56],[4,5,1],[4,6,86],[5,6,52],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (0,5)=10 Succeeded, w=11\",\"Add (3,5)=11 Succeeded, w=22\",\"Add (2,5)=19 Succeeded, w=41\",\"Add (0,2)=27 Failed, w=41\",\"Add (2,4)=30 Failed, w=41\",\"Add (2,3)=34 Failed, w=41\",\"Add (1,2)=39 Succeeded, w=80\",\"Add (5,6)=52 Succeeded, w=132\",\"Add (6,7)=53 Succeeded, w=185\",\"Add (3,6)=55 Failed, w=185\",\"Add (3,7)=56 Failed, w=185\",\"Add (3,4)=63 Failed, w=185\",\"Add (4,6)=86 Failed, w=185\",\"Add (0,4)=94 Failed, w=185\",\"Add (1,5)=94 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,4,94],[0,5,10],[1,2,39],[1,5,94],[2,3,34],[2,4,30],[2,5,19],[3,4,63],[3,5,11],[3,6,55],[3,7,56],[4,5,1],[4,6,86],[5,6,52],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,5)=10,(3,5)=11,(2,5)=19,(0,2)=27,(2,4)=30,(2,3)=34,(1,2)=39,(5,6)=52,(6,7)=53,(3,6)=55,(3,7)=56,(3,4)=63,(4,6)=86,(0,4)=94,(1,5)=94]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=11\",\"Find(3)=3, Find(5)=4, Add (3,5)=11 Succeeded, w=22\",\"Find(2)=2, Find(5)=4, Add (2,5)=19 Succeeded, w=41\",\"Find(0)=4, Find(2)=4, Add (0,2)=27 Failed, w=41\",\"Find(2)=4, Find(4)=4, Add (2,4)=30 Failed, w=41\",\"Find(2)=4, Find(3)=4, Add (2,3)=34 Failed, w=41\",\"Find(1)=1, Find(2)=4, Add (1,2)=39 Succeeded, w=80\",\"Find(5)=4, Find(6)=6, Add (5,6)=52 Succeeded, w=132\",\"Find(6)=4, Find(7)=7, Add (6,7)=53 Succeeded, w=185\",\"Find(3)=4, Find(6)=4, Add (3,6)=55 Failed, w=185\",\"Find(3)=4, Find(7)=4, Add (3,7)=56 Failed, w=185\",\"Find(3)=4, Find(4)=4, Add (3,4)=63 Failed, w=185\",\"Find(4)=4, Find(6)=4, Add (4,6)=86 Failed, w=185\",\"Find(0)=4, Find(4)=4, Add (0,4)=94 Failed, w=185\",\"Find(1)=4, Find(5)=4, Add (1,5)=94 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,27],[0,4,94],[0,5,10],[1,2,39],[1,5,94],[2,3,34],[2,4,30],[2,5,19],[3,4,63],[3,5,11],[3,6,55],[3,7,56],[4,5,1],[4,6,86],[5,6,52],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(0,5)=10,(3,5)=11,(2,5)=19,(0,2)=27,(2,4)=30,(2,3)=34,(1,2)=39,(5,6)=52,(6,7)=53,(3,6)=55,(3,7)=56,(3,4)=63,(4,6)=86,(0,4)=94,(1,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(5)=4, Add (0,5)=10 Succeeded, w=11\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(3)=3, Find(5)=4, Add (3,5)=11 Succeeded, w=22\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(2)=2, Find(5)=4, Add (2,5)=19 Succeeded, w=41\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(0)=4, Find(2)=4, Add (0,2)=27 Failed, w=41\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(2)=4, Find(4)=4, Add (2,4)=30 Failed, w=41\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(2)=4, Find(3)=4, Add (2,3)=34 Failed, w=41\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(2)=4, Add (1,2)=39 Succeeded, w=80\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(5)=4, Find(6)=6, Add (5,6)=52 Succeeded, w=132\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=7, Add (6,7)=53 Succeeded, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=55 Failed, w=185\",\"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)=56 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=63 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(6)=4, Add (4,6)=86 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(4)=4, Add (0,4)=94 Failed, w=185\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=94 Failed, w=185\"],\"Answer\":185}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,80],[0,3,55],[0,4,41],[1,2,10],[1,3,43],[1,4,15],[1,5,33],[2,5,45],[3,5,11]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,80],[0,3,55],[0,4,41],[1,2,10],[1,3,43],[1,4,15],[1,5,33],[2,5,45],[3,5,11]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,80],[0,3,55],[0,4,41],[1,2,10],[1,3,43],[1,4,15],[1,5,33],[2,5,45],[3,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,80],[0,3,55],[0,4,41],[1,2,10],[1,3,43],[1,4,15],[1,5,33],[2,5,45],[3,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (3,5)=11, w=21\",\"Add (1,4)=15, w=36\",\"Add (1,5)=33, w=69\",\"Add (0,4)=41, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,80],[0,3,55],[0,4,41],[1,2,10],[1,3,43],[1,4,15],[1,5,33],[2,5,45],[3,5,11]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (3,5)=11 Succeeded, w=21\",\"Add (1,4)=15 Succeeded, w=36\",\"Add (1,5)=33 Succeeded, w=69\",\"Add (0,4)=41 Succeeded, w=110\",\"Add (1,3)=43 Failed, w=110\",\"Add (2,5)=45 Failed, w=110\",\"Add (0,3)=55 Failed, w=110\",\"Add (0,2)=80 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,80],[0,3,55],[0,4,41],[1,2,10],[1,3,43],[1,4,15],[1,5,33],[2,5,45],[3,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(3,5)=11,(1,4)=15,(1,5)=33,(0,4)=41,(1,3)=43,(2,5)=45,(0,3)=55,(0,2)=80]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=21\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=36\",\"Find(1)=1, Find(5)=3, Add (1,5)=33 Succeeded, w=69\",\"Find(0)=0, Find(4)=1, Add (0,4)=41 Succeeded, w=110\",\"Find(1)=1, Find(3)=1, Add (1,3)=43 Failed, w=110\",\"Find(2)=1, Find(5)=1, Add (2,5)=45 Failed, w=110\",\"Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=110\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,80],[0,3,55],[0,4,41],[1,2,10],[1,3,43],[1,4,15],[1,5,33],[2,5,45],[3,5,11]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(3,5)=11,(1,4)=15,(1,5)=33,(0,4)=41,(1,3)=43,(2,5)=45,(0,3)=55,(0,2)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(5)=3, Add (1,5)=33 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=0, Find(4)=1, Add (0,4)=41 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=1, Add (1,3)=43 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=45 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=55 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,22],[0,3,11],[1,3,92],[2,3,71]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,3,11],[1,3,92],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,3,11],[1,3,92],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,3,11],[1,3,92],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (0,1)=22, w=33\",\"Add (2,3)=71, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,3,11],[1,3,92],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (0,1)=22 Succeeded, w=33\",\"Add (2,3)=71 Succeeded, w=104\",\"Add (1,3)=92 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,3,11],[1,3,92],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,1)=22,(2,3)=71,(1,3)=92]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=33\",\"Find(2)=2, Find(3)=0, Add (2,3)=71 Succeeded, w=104\",\"Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,22],[0,3,11],[1,3,92],[2,3,71]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(0,1)=22,(2,3)=71,(1,3)=92]\",\"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(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=71 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=92 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,75],[0,2,53],[0,3,23],[0,4,99],[0,5,8],[0,6,42],[0,7,74],[1,2,32],[1,5,91],[1,7,75],[2,3,31],[2,4,51],[2,6,62],[2,7,71],[3,5,25],[3,6,0],[3,7,94],[4,5,67],[4,6,25],[5,7,17],[6,7,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,53],[0,3,23],[0,4,99],[0,5,8],[0,6,42],[0,7,74],[1,2,32],[1,5,91],[1,7,75],[2,3,31],[2,4,51],[2,6,62],[2,7,71],[3,5,25],[3,6,0],[3,7,94],[4,5,67],[4,6,25],[5,7,17],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,53],[0,3,23],[0,4,99],[0,5,8],[0,6,42],[0,7,74],[1,2,32],[1,5,91],[1,7,75],[2,3,31],[2,4,51],[2,6,62],[2,7,71],[3,5,25],[3,6,0],[3,7,94],[4,5,67],[4,6,25],[5,7,17],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (0,5)\",\"Add (5,7)\",\"Add (0,3)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,53],[0,3,23],[0,4,99],[0,5,8],[0,6,42],[0,7,74],[1,2,32],[1,5,91],[1,7,75],[2,3,31],[2,4,51],[2,6,62],[2,7,71],[3,5,25],[3,6,0],[3,7,94],[4,5,67],[4,6,25],[5,7,17],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0, w=0\",\"Add (0,5)=8, w=8\",\"Add (5,7)=17, w=25\",\"Add (0,3)=23, w=48\",\"Add (4,6)=25, w=73\",\"Add (2,3)=31, w=104\",\"Add (1,2)=32, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,53],[0,3,23],[0,4,99],[0,5,8],[0,6,42],[0,7,74],[1,2,32],[1,5,91],[1,7,75],[2,3,31],[2,4,51],[2,6,62],[2,7,71],[3,5,25],[3,6,0],[3,7,94],[4,5,67],[4,6,25],[5,7,17],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=0 Succeeded, w=0\",\"Add (0,5)=8 Succeeded, w=8\",\"Add (5,7)=17 Succeeded, w=25\",\"Add (0,3)=23 Succeeded, w=48\",\"Add (3,5)=25 Failed, w=48\",\"Add (4,6)=25 Succeeded, w=73\",\"Add (2,3)=31 Succeeded, w=104\",\"Add (1,2)=32 Succeeded, w=136\",\"Add (0,6)=42 Failed, w=136\",\"Add (2,4)=51 Failed, w=136\",\"Add (0,2)=53 Failed, w=136\",\"Add (2,6)=62 Failed, w=136\",\"Add (4,5)=67 Failed, w=136\",\"Add (2,7)=71 Failed, w=136\",\"Add (0,7)=74 Failed, w=136\",\"Add (0,1)=75 Failed, w=136\",\"Add (1,7)=75 Failed, w=136\",\"Add (6,7)=84 Failed, w=136\",\"Add (1,5)=91 Failed, w=136\",\"Add (3,7)=94 Failed, w=136\",\"Add (0,4)=99 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,53],[0,3,23],[0,4,99],[0,5,8],[0,6,42],[0,7,74],[1,2,32],[1,5,91],[1,7,75],[2,3,31],[2,4,51],[2,6,62],[2,7,71],[3,5,25],[3,6,0],[3,7,94],[4,5,67],[4,6,25],[5,7,17],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,5)=8,(5,7)=17,(0,3)=23,(3,5)=25,(4,6)=25,(2,3)=31,(1,2)=32,(0,6)=42,(2,4)=51,(0,2)=53,(2,6)=62,(4,5)=67,(2,7)=71,(0,7)=74,(0,1)=75,(1,7)=75,(6,7)=84,(1,5)=91,(3,7)=94,(0,4)=99]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Find(5)=0, Find(7)=7, Add (5,7)=17 Succeeded, w=25\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=48\",\"Find(3)=0, Find(5)=0, Add (3,5)=25 Failed, w=48\",\"Find(4)=4, Find(6)=0, Add (4,6)=25 Succeeded, w=73\",\"Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=104\",\"Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=136\",\"Find(0)=0, Find(6)=0, Add (0,6)=42 Failed, w=136\",\"Find(2)=0, Find(4)=0, Add (2,4)=51 Failed, w=136\",\"Find(0)=0, Find(2)=0, Add (0,2)=53 Failed, w=136\",\"Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=136\",\"Find(4)=0, Find(5)=0, Add (4,5)=67 Failed, w=136\",\"Find(2)=0, Find(7)=0, Add (2,7)=71 Failed, w=136\",\"Find(0)=0, Find(7)=0, Add (0,7)=74 Failed, w=136\",\"Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=136\",\"Find(1)=0, Find(7)=0, Add (1,7)=75 Failed, w=136\",\"Find(6)=0, Find(7)=0, Add (6,7)=84 Failed, w=136\",\"Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=136\",\"Find(3)=0, Find(7)=0, Add (3,7)=94 Failed, w=136\",\"Find(0)=0, Find(4)=0, Add (0,4)=99 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,2,53],[0,3,23],[0,4,99],[0,5,8],[0,6,42],[0,7,74],[1,2,32],[1,5,91],[1,7,75],[2,3,31],[2,4,51],[2,6,62],[2,7,71],[3,5,25],[3,6,0],[3,7,94],[4,5,67],[4,6,25],[5,7,17],[6,7,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=0,(0,5)=8,(5,7)=17,(0,3)=23,(3,5)=25,(4,6)=25,(2,3)=31,(1,2)=32,(0,6)=42,(2,4)=51,(0,2)=53,(2,6)=62,(4,5)=67,(2,7)=71,(0,7)=74,(0,1)=75,(1,7)=75,(6,7)=84,(1,5)=91,(3,7)=94,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 3, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=17 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 3, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=25 Failed, w=48\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(6)=0, Add (4,6)=25 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(3)=0, Add (2,3)=31 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(2)=0, Add (1,2)=32 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=42 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=51 Failed, w=136\",\"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)=53 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=62 Failed, w=136\",\"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)=67 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=71 Failed, w=136\",\"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)=74 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=75 Failed, w=136\",\"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)=75 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=84 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=91 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=94 Failed, w=136\",\"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)=99 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,69],[0,2,90],[0,3,51],[0,4,1],[1,2,73],[1,3,55],[1,4,13],[2,3,41],[3,4,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,90],[0,3,51],[0,4,1],[1,2,73],[1,3,55],[1,4,13],[2,3,41],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,90],[0,3,51],[0,4,1],[1,2,73],[1,3,55],[1,4,13],[2,3,41],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,90],[0,3,51],[0,4,1],[1,2,73],[1,3,55],[1,4,13],[2,3,41],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (1,4)=13, w=14\",\"Add (2,3)=41, w=55\",\"Add (0,3)=51, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,90],[0,3,51],[0,4,1],[1,2,73],[1,3,55],[1,4,13],[2,3,41],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (1,4)=13 Succeeded, w=14\",\"Add (2,3)=41 Succeeded, w=55\",\"Add (0,3)=51 Succeeded, w=106\",\"Add (1,3)=55 Failed, w=106\",\"Add (3,4)=68 Failed, w=106\",\"Add (0,1)=69 Failed, w=106\",\"Add (1,2)=73 Failed, w=106\",\"Add (0,2)=90 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,90],[0,3,51],[0,4,1],[1,2,73],[1,3,55],[1,4,13],[2,3,41],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,4)=13,(2,3)=41,(0,3)=51,(1,3)=55,(3,4)=68,(0,1)=69,(1,2)=73,(0,2)=90]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=14\",\"Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=55\",\"Find(0)=0, Find(3)=2, Add (0,3)=51 Succeeded, w=106\",\"Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=106\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=106\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=106\",\"Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=106\",\"Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,69],[0,2,90],[0,3,51],[0,4,1],[1,2,73],[1,3,55],[1,4,13],[2,3,41],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,4)=13,(2,3)=41,(0,3)=51,(1,3)=55,(3,4)=68,(0,1)=69,(1,2)=73,(0,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(3)=2, Add (0,3)=51 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=55 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=73 Failed, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=90 Failed, w=106\"],\"Answer\":106}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,39],[1,2,69],[1,3,48],[2,3,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,39],[1,2,69],[1,3,48],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,39],[1,2,69],[1,3,48],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,39],[1,2,69],[1,3,48],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=39, w=39\",\"Add (1,3)=48, w=87\",\"Add (1,2)=69, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,39],[1,2,69],[1,3,48],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=39 Succeeded, w=39\",\"Add (1,3)=48 Succeeded, w=87\",\"Add (1,2)=69 Succeeded, w=156\",\"Add (2,3)=75 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,39],[1,2,69],[1,3,48],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=39,(1,3)=48,(1,2)=69,(2,3)=75]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=39\",\"Find(1)=1, Find(3)=3, Add (1,3)=48 Succeeded, w=87\",\"Find(1)=1, Find(2)=0, Add (1,2)=69 Succeeded, w=156\",\"Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,39],[1,2,69],[1,3,48],[2,3,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=39,(1,3)=48,(1,2)=69,(2,3)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=39 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=48 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(2)=0, Add (1,2)=69 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=75 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,67],[0,2,65],[0,3,76],[0,5,94],[0,6,97],[1,2,24],[1,3,33],[1,4,43],[2,3,12],[2,4,96],[2,5,41],[2,6,18],[3,4,48],[3,5,33],[3,6,53],[4,5,62],[4,6,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,65],[0,3,76],[0,5,94],[0,6,97],[1,2,24],[1,3,33],[1,4,43],[2,3,12],[2,4,96],[2,5,41],[2,6,18],[3,4,48],[3,5,33],[3,6,53],[4,5,62],[4,6,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,65],[0,3,76],[0,5,94],[0,6,97],[1,2,24],[1,3,33],[1,4,43],[2,3,12],[2,4,96],[2,5,41],[2,6,18],[3,4,48],[3,5,33],[3,6,53],[4,5,62],[4,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,6)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (1,4)\",\"Add (0,2)\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,65],[0,3,76],[0,5,94],[0,6,97],[1,2,24],[1,3,33],[1,4,43],[2,3,12],[2,4,96],[2,5,41],[2,6,18],[3,4,48],[3,5,33],[3,6,53],[4,5,62],[4,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (2,6)=18, w=30\",\"Add (1,2)=24, w=54\",\"Add (3,5)=33, w=87\",\"Add (1,4)=43, w=130\",\"Add (0,2)=65, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,65],[0,3,76],[0,5,94],[0,6,97],[1,2,24],[1,3,33],[1,4,43],[2,3,12],[2,4,96],[2,5,41],[2,6,18],[3,4,48],[3,5,33],[3,6,53],[4,5,62],[4,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (2,6)=18 Succeeded, w=30\",\"Add (1,2)=24 Succeeded, w=54\",\"Add (1,3)=33 Failed, w=54\",\"Add (3,5)=33 Succeeded, w=87\",\"Add (2,5)=41 Failed, w=87\",\"Add (1,4)=43 Succeeded, w=130\",\"Add (3,4)=48 Failed, w=130\",\"Add (3,6)=53 Failed, w=130\",\"Add (4,6)=57 Failed, w=130\",\"Add (4,5)=62 Failed, w=130\",\"Add (0,2)=65 Succeeded, w=195\",\"Add (0,1)=67 Failed, w=195\",\"Add (0,3)=76 Failed, w=195\",\"Add (0,5)=94 Failed, w=195\",\"Add (2,4)=96 Failed, w=195\",\"Add (0,6)=97 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,65],[0,3,76],[0,5,94],[0,6,97],[1,2,24],[1,3,33],[1,4,43],[2,3,12],[2,4,96],[2,5,41],[2,6,18],[3,4,48],[3,5,33],[3,6,53],[4,5,62],[4,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(2,6)=18,(1,2)=24,(1,3)=33,(3,5)=33,(2,5)=41,(1,4)=43,(3,4)=48,(3,6)=53,(4,6)=57,(4,5)=62,(0,2)=65,(0,1)=67,(0,3)=76,(0,5)=94,(2,4)=96,(0,6)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=30\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=54\",\"Find(1)=2, Find(3)=2, Add (1,3)=33 Failed, w=54\",\"Find(3)=2, Find(5)=5, Add (3,5)=33 Succeeded, w=87\",\"Find(2)=2, Find(5)=2, Add (2,5)=41 Failed, w=87\",\"Find(1)=2, Find(4)=4, Add (1,4)=43 Succeeded, w=130\",\"Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=130\",\"Find(3)=2, Find(6)=2, Add (3,6)=53 Failed, w=130\",\"Find(4)=2, Find(6)=2, Add (4,6)=57 Failed, w=130\",\"Find(4)=2, Find(5)=2, Add (4,5)=62 Failed, w=130\",\"Find(0)=0, Find(2)=2, Add (0,2)=65 Succeeded, w=195\",\"Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=195\",\"Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=195\",\"Find(0)=2, Find(5)=2, Add (0,5)=94 Failed, w=195\",\"Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=195\",\"Find(0)=2, Find(6)=2, Add (0,6)=97 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,65],[0,3,76],[0,5,94],[0,6,97],[1,2,24],[1,3,33],[1,4,43],[2,3,12],[2,4,96],[2,5,41],[2,6,18],[3,4,48],[3,5,33],[3,6,53],[4,5,62],[4,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(2,6)=18,(1,2)=24,(1,3)=33,(3,5)=33,(2,5)=41,(1,4)=43,(3,4)=48,(3,6)=53,(4,6)=57,(4,5)=62,(0,2)=65,(0,1)=67,(0,3)=76,(0,5)=94,(2,4)=96,(0,6)=97]\",\"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)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=30\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=54\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=33 Failed, w=54\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(3)=2, Find(5)=5, Add (3,5)=33 Succeeded, w=87\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=41 Failed, w=87\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=4, Add (1,4)=43 Succeeded, w=130\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=48 Failed, w=130\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=53 Failed, w=130\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=57 Failed, w=130\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=62 Failed, w=130\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(2)=2, Add (0,2)=65 Succeeded, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=67 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=94 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=96 Failed, w=195\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=97 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,43],[0,3,57],[0,4,23],[1,2,58],[1,3,20],[1,4,15],[2,3,90],[2,4,2],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,57],[0,4,23],[1,2,58],[1,3,20],[1,4,15],[2,3,90],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,57],[0,4,23],[1,2,58],[1,3,20],[1,4,15],[2,3,90],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (3,4)\",\"Add (0,4)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,57],[0,4,23],[1,2,58],[1,3,20],[1,4,15],[2,3,90],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2, w=2\",\"Add (1,4)=15, w=17\",\"Add (3,4)=19, w=36\",\"Add (0,4)=23, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,57],[0,4,23],[1,2,58],[1,3,20],[1,4,15],[2,3,90],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=2 Succeeded, w=2\",\"Add (1,4)=15 Succeeded, w=17\",\"Add (3,4)=19 Succeeded, w=36\",\"Add (1,3)=20 Failed, w=36\",\"Add (0,4)=23 Succeeded, w=59\",\"Add (0,2)=43 Failed, w=59\",\"Add (0,3)=57 Failed, w=59\",\"Add (1,2)=58 Failed, w=59\",\"Add (2,3)=90 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,57],[0,4,23],[1,2,58],[1,3,20],[1,4,15],[2,3,90],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,4)=15,(3,4)=19,(1,3)=20,(0,4)=23,(0,2)=43,(0,3)=57,(1,2)=58,(2,3)=90]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=2, Add (1,4)=15 Succeeded, w=17\",\"Find(3)=3, Find(4)=2, Add (3,4)=19 Succeeded, w=36\",\"Find(1)=2, Find(3)=2, Add (1,3)=20 Failed, w=36\",\"Find(0)=0, Find(4)=2, Add (0,4)=23 Succeeded, w=59\",\"Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=59\",\"Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=59\",\"Find(1)=2, Find(2)=2, Add (1,2)=58 Failed, w=59\",\"Find(2)=2, Find(3)=2, Add (2,3)=90 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,43],[0,3,57],[0,4,23],[1,2,58],[1,3,20],[1,4,15],[2,3,90],[2,4,2],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=2,(1,4)=15,(3,4)=19,(1,3)=20,(0,4)=23,(0,2)=43,(0,3)=57,(1,2)=58,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=15 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=3, Find(4)=2, Add (3,4)=19 Succeeded, w=36\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=20 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(4)=2, Add (0,4)=23 Succeeded, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=43 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=58 Failed, w=59\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=90 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,53],[0,3,94],[0,5,76],[1,2,98],[1,3,16],[1,4,33],[1,5,82],[2,3,36],[2,4,94],[2,5,6],[3,4,87],[3,5,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,94],[0,5,76],[1,2,98],[1,3,16],[1,4,33],[1,5,82],[2,3,36],[2,4,94],[2,5,6],[3,4,87],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,94],[0,5,76],[1,2,98],[1,3,16],[1,4,33],[1,5,82],[2,3,36],[2,4,94],[2,5,6],[3,4,87],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,94],[0,5,76],[1,2,98],[1,3,16],[1,4,33],[1,5,82],[2,3,36],[2,4,94],[2,5,6],[3,4,87],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6, w=6\",\"Add (1,3)=16, w=22\",\"Add (1,4)=33, w=55\",\"Add (2,3)=36, w=91\",\"Add (0,1)=53, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,94],[0,5,76],[1,2,98],[1,3,16],[1,4,33],[1,5,82],[2,3,36],[2,4,94],[2,5,6],[3,4,87],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=6 Succeeded, w=6\",\"Add (1,3)=16 Succeeded, w=22\",\"Add (1,4)=33 Succeeded, w=55\",\"Add (2,3)=36 Succeeded, w=91\",\"Add (0,1)=53 Succeeded, w=144\",\"Add (0,5)=76 Failed, w=144\",\"Add (1,5)=82 Failed, w=144\",\"Add (3,4)=87 Failed, w=144\",\"Add (0,3)=94 Failed, w=144\",\"Add (2,4)=94 Failed, w=144\",\"Add (3,5)=97 Failed, w=144\",\"Add (1,2)=98 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,94],[0,5,76],[1,2,98],[1,3,16],[1,4,33],[1,5,82],[2,3,36],[2,4,94],[2,5,6],[3,4,87],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(1,3)=16,(1,4)=33,(2,3)=36,(0,1)=53,(0,5)=76,(1,5)=82,(3,4)=87,(0,3)=94,(2,4)=94,(3,5)=97,(1,2)=98]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=22\",\"Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=55\",\"Find(2)=2, Find(3)=1, Add (2,3)=36 Succeeded, w=91\",\"Find(0)=0, Find(1)=2, Add (0,1)=53 Succeeded, w=144\",\"Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=144\",\"Find(1)=2, Find(5)=2, Add (1,5)=82 Failed, w=144\",\"Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=144\",\"Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=144\",\"Find(2)=2, Find(4)=2, Add (2,4)=94 Failed, w=144\",\"Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=144\",\"Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,53],[0,3,94],[0,5,76],[1,2,98],[1,3,16],[1,4,33],[1,5,82],[2,3,36],[2,4,94],[2,5,6],[3,4,87],[3,5,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=6,(1,3)=16,(1,4)=33,(2,3)=36,(0,1)=53,(0,5)=76,(1,5)=82,(3,4)=87,(0,3)=94,(2,4)=94,(3,5)=97,(1,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=55\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(2)=2, Find(3)=1, Add (2,3)=36 Succeeded, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=0, Find(1)=2, Add (0,1)=53 Succeeded, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=76 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=82 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=94 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=94 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=144\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=98 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,94],[0,2,38],[0,3,26],[0,4,52],[1,2,95],[1,4,42],[1,5,18],[1,6,53],[2,5,33],[2,6,66],[3,4,5],[3,5,13],[3,6,52],[4,5,50],[4,6,89],[5,6,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,38],[0,3,26],[0,4,52],[1,2,95],[1,4,42],[1,5,18],[1,6,53],[2,5,33],[2,6,66],[3,4,5],[3,5,13],[3,6,52],[4,5,50],[4,6,89],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,38],[0,3,26],[0,4,52],[1,2,95],[1,4,42],[1,5,18],[1,6,53],[2,5,33],[2,6,66],[3,4,5],[3,5,13],[3,6,52],[4,5,50],[4,6,89],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (3,6)\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,38],[0,3,26],[0,4,52],[1,2,95],[1,4,42],[1,5,18],[1,6,53],[2,5,33],[2,6,66],[3,4,5],[3,5,13],[3,6,52],[4,5,50],[4,6,89],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (3,5)=13, w=18\",\"Add (1,5)=18, w=36\",\"Add (0,3)=26, w=62\",\"Add (2,5)=33, w=95\",\"Add (3,6)=52, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,38],[0,3,26],[0,4,52],[1,2,95],[1,4,42],[1,5,18],[1,6,53],[2,5,33],[2,6,66],[3,4,5],[3,5,13],[3,6,52],[4,5,50],[4,6,89],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (3,5)=13 Succeeded, w=18\",\"Add (1,5)=18 Succeeded, w=36\",\"Add (0,3)=26 Succeeded, w=62\",\"Add (2,5)=33 Succeeded, w=95\",\"Add (0,2)=38 Failed, w=95\",\"Add (1,4)=42 Failed, w=95\",\"Add (4,5)=50 Failed, w=95\",\"Add (0,4)=52 Failed, w=95\",\"Add (3,6)=52 Succeeded, w=147\",\"Add (1,6)=53 Failed, w=147\",\"Add (2,6)=66 Failed, w=147\",\"Add (4,6)=89 Failed, w=147\",\"Add (0,1)=94 Failed, w=147\",\"Add (5,6)=94 Failed, w=147\",\"Add (1,2)=95 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,38],[0,3,26],[0,4,52],[1,2,95],[1,4,42],[1,5,18],[1,6,53],[2,5,33],[2,6,66],[3,4,5],[3,5,13],[3,6,52],[4,5,50],[4,6,89],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(3,5)=13,(1,5)=18,(0,3)=26,(2,5)=33,(0,2)=38,(1,4)=42,(4,5)=50,(0,4)=52,(3,6)=52,(1,6)=53,(2,6)=66,(4,6)=89,(0,1)=94,(5,6)=94,(1,2)=95]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=18\",\"Find(1)=1, Find(5)=3, Add (1,5)=18 Succeeded, w=36\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=62\",\"Find(2)=2, Find(5)=3, Add (2,5)=33 Succeeded, w=95\",\"Find(0)=3, Find(2)=3, Add (0,2)=38 Failed, w=95\",\"Find(1)=3, Find(4)=3, Add (1,4)=42 Failed, w=95\",\"Find(4)=3, Find(5)=3, Add (4,5)=50 Failed, w=95\",\"Find(0)=3, Find(4)=3, Add (0,4)=52 Failed, w=95\",\"Find(3)=3, Find(6)=6, Add (3,6)=52 Succeeded, w=147\",\"Find(1)=3, Find(6)=3, Add (1,6)=53 Failed, w=147\",\"Find(2)=3, Find(6)=3, Add (2,6)=66 Failed, w=147\",\"Find(4)=3, Find(6)=3, Add (4,6)=89 Failed, w=147\",\"Find(0)=3, Find(1)=3, Add (0,1)=94 Failed, w=147\",\"Find(5)=3, Find(6)=3, Add (5,6)=94 Failed, w=147\",\"Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,94],[0,2,38],[0,3,26],[0,4,52],[1,2,95],[1,4,42],[1,5,18],[1,6,53],[2,5,33],[2,6,66],[3,4,5],[3,5,13],[3,6,52],[4,5,50],[4,6,89],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(3,5)=13,(1,5)=18,(0,3)=26,(2,5)=33,(0,2)=38,(1,4)=42,(4,5)=50,(0,4)=52,(3,6)=52,(1,6)=53,(2,6)=66,(4,6)=89,(0,1)=94,(5,6)=94,(1,2)=95]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=1, Find(5)=3, Add (1,5)=18 Succeeded, w=36\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=62\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(2)=2, Find(5)=3, Add (2,5)=33 Succeeded, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=3, Find(2)=3, Add (0,2)=38 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(1)=3, Find(4)=3, Add (1,4)=42 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(4)=3, Find(5)=3, Add (4,5)=50 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6}, Find(0)=3, Find(4)=3, Add (0,4)=52 Failed, w=95\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=52 Succeeded, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=53 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(6)=3, Add (2,6)=66 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(6)=3, Add (4,6)=89 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(0)=3, Find(1)=3, Add (0,1)=94 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(5)=3, Find(6)=3, Add (5,6)=94 Failed, w=147\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(2)=3, Add (1,2)=95 Failed, w=147\"],\"Answer\":147}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,1],[0,3,53],[0,4,29],[0,5,23],[0,6,81],[1,2,75],[1,3,17],[1,4,58],[1,5,30],[2,3,87],[2,4,74],[2,5,42],[2,6,91],[3,6,14],[4,5,9],[5,6,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,53],[0,4,29],[0,5,23],[0,6,81],[1,2,75],[1,3,17],[1,4,58],[1,5,30],[2,3,87],[2,4,74],[2,5,42],[2,6,91],[3,6,14],[4,5,9],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,53],[0,4,29],[0,5,23],[0,6,81],[1,2,75],[1,3,17],[1,4,58],[1,5,30],[2,3,87],[2,4,74],[2,5,42],[2,6,91],[3,6,14],[4,5,9],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (4,5)\",\"Add (3,6)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (1,5)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,53],[0,4,29],[0,5,23],[0,6,81],[1,2,75],[1,3,17],[1,4,58],[1,5,30],[2,3,87],[2,4,74],[2,5,42],[2,6,91],[3,6,14],[4,5,9],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (4,5)=9, w=10\",\"Add (3,6)=14, w=24\",\"Add (1,3)=17, w=41\",\"Add (0,5)=23, w=64\",\"Add (1,5)=30, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,53],[0,4,29],[0,5,23],[0,6,81],[1,2,75],[1,3,17],[1,4,58],[1,5,30],[2,3,87],[2,4,74],[2,5,42],[2,6,91],[3,6,14],[4,5,9],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (4,5)=9 Succeeded, w=10\",\"Add (3,6)=14 Succeeded, w=24\",\"Add (1,3)=17 Succeeded, w=41\",\"Add (0,5)=23 Succeeded, w=64\",\"Add (0,4)=29 Failed, w=64\",\"Add (1,5)=30 Succeeded, w=94\",\"Add (2,5)=42 Failed, w=94\",\"Add (5,6)=44 Failed, w=94\",\"Add (0,3)=53 Failed, w=94\",\"Add (1,4)=58 Failed, w=94\",\"Add (2,4)=74 Failed, w=94\",\"Add (1,2)=75 Failed, w=94\",\"Add (0,6)=81 Failed, w=94\",\"Add (2,3)=87 Failed, w=94\",\"Add (2,6)=91 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,53],[0,4,29],[0,5,23],[0,6,81],[1,2,75],[1,3,17],[1,4,58],[1,5,30],[2,3,87],[2,4,74],[2,5,42],[2,6,91],[3,6,14],[4,5,9],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(4,5)=9,(3,6)=14,(1,3)=17,(0,5)=23,(0,4)=29,(1,5)=30,(2,5)=42,(5,6)=44,(0,3)=53,(1,4)=58,(2,4)=74,(1,2)=75,(0,6)=81,(2,3)=87,(2,6)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=10\",\"Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=41\",\"Find(0)=0, Find(5)=4, Add (0,5)=23 Succeeded, w=64\",\"Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=64\",\"Find(1)=3, Find(5)=0, Add (1,5)=30 Succeeded, w=94\",\"Find(2)=0, Find(5)=0, Add (2,5)=42 Failed, w=94\",\"Find(5)=0, Find(6)=0, Add (5,6)=44 Failed, w=94\",\"Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=94\",\"Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=94\",\"Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=94\",\"Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=94\",\"Find(0)=0, Find(6)=0, Add (0,6)=81 Failed, w=94\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=94\",\"Find(2)=0, Find(6)=0, Add (2,6)=91 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,1],[0,3,53],[0,4,29],[0,5,23],[0,6,81],[1,2,75],[1,3,17],[1,4,58],[1,5,30],[2,3,87],[2,4,74],[2,5,42],[2,6,91],[3,6,14],[4,5,9],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(4,5)=9,(3,6)=14,(1,3)=17,(0,5)=23,(0,4)=29,(1,5)=30,(2,5)=42,(5,6)=44,(0,3)=53,(1,4)=58,(2,4)=74,(1,2)=75,(0,6)=81,(2,3)=87,(2,6)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=9 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=14 Succeeded, w=24\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 4, 5: 4, 6: 3}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=41\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 0, 5: 4, 6: 3}, Find(0)=0, Find(5)=4, Add (0,5)=23 Succeeded, w=64\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 0, 5: 4, 6: 3}, Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=64\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=3, Find(5)=0, Add (1,5)=30 Succeeded, w=94\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(2)=0, Find(5)=0, Add (2,5)=42 Failed, w=94\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=44 Failed, w=94\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=53 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=58 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=75 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=81 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=91 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,76],[0,4,96],[0,6,65],[1,3,57],[1,4,8],[1,5,6],[1,6,45],[2,3,26],[2,5,3],[2,6,90],[3,4,31],[3,5,59],[3,6,79],[4,5,86],[4,6,56],[5,6,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,4,96],[0,6,65],[1,3,57],[1,4,8],[1,5,6],[1,6,45],[2,3,26],[2,5,3],[2,6,90],[3,4,31],[3,5,59],[3,6,79],[4,5,86],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,4,96],[0,6,65],[1,3,57],[1,4,8],[1,5,6],[1,6,45],[2,3,26],[2,5,3],[2,6,90],[3,4,31],[3,5,59],[3,6,79],[4,5,86],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,5)\",\"Add (1,4)\",\"Add (2,3)\",\"Add (1,6)\",\"Add (0,6)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,4,96],[0,6,65],[1,3,57],[1,4,8],[1,5,6],[1,6,45],[2,3,26],[2,5,3],[2,6,90],[3,4,31],[3,5,59],[3,6,79],[4,5,86],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (1,5)=6, w=9\",\"Add (1,4)=8, w=17\",\"Add (2,3)=26, w=43\",\"Add (1,6)=45, w=88\",\"Add (0,6)=65, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,4,96],[0,6,65],[1,3,57],[1,4,8],[1,5,6],[1,6,45],[2,3,26],[2,5,3],[2,6,90],[3,4,31],[3,5,59],[3,6,79],[4,5,86],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (1,5)=6 Succeeded, w=9\",\"Add (1,4)=8 Succeeded, w=17\",\"Add (2,3)=26 Succeeded, w=43\",\"Add (3,4)=31 Failed, w=43\",\"Add (1,6)=45 Succeeded, w=88\",\"Add (4,6)=56 Failed, w=88\",\"Add (1,3)=57 Failed, w=88\",\"Add (3,5)=59 Failed, w=88\",\"Add (0,6)=65 Succeeded, w=153\",\"Add (0,3)=76 Failed, w=153\",\"Add (3,6)=79 Failed, w=153\",\"Add (4,5)=86 Failed, w=153\",\"Add (2,6)=90 Failed, w=153\",\"Add (5,6)=93 Failed, w=153\",\"Add (0,4)=96 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,4,96],[0,6,65],[1,3,57],[1,4,8],[1,5,6],[1,6,45],[2,3,26],[2,5,3],[2,6,90],[3,4,31],[3,5,59],[3,6,79],[4,5,86],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(1,5)=6,(1,4)=8,(2,3)=26,(3,4)=31,(1,6)=45,(4,6)=56,(1,3)=57,(3,5)=59,(0,6)=65,(0,3)=76,(3,6)=79,(4,5)=86,(2,6)=90,(5,6)=93,(0,4)=96]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=2, Add (1,5)=6 Succeeded, w=9\",\"Find(1)=2, Find(4)=4, Add (1,4)=8 Succeeded, w=17\",\"Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=43\",\"Find(3)=2, Find(4)=2, Add (3,4)=31 Failed, w=43\",\"Find(1)=2, Find(6)=6, Add (1,6)=45 Succeeded, w=88\",\"Find(4)=2, Find(6)=2, Add (4,6)=56 Failed, w=88\",\"Find(1)=2, Find(3)=2, Add (1,3)=57 Failed, w=88\",\"Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=88\",\"Find(0)=0, Find(6)=2, Add (0,6)=65 Succeeded, w=153\",\"Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=153\",\"Find(3)=2, Find(6)=2, Add (3,6)=79 Failed, w=153\",\"Find(4)=2, Find(5)=2, Add (4,5)=86 Failed, w=153\",\"Find(2)=2, Find(6)=2, Add (2,6)=90 Failed, w=153\",\"Find(5)=2, Find(6)=2, Add (5,6)=93 Failed, w=153\",\"Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,76],[0,4,96],[0,6,65],[1,3,57],[1,4,8],[1,5,6],[1,6,45],[2,3,26],[2,5,3],[2,6,90],[3,4,31],[3,5,59],[3,6,79],[4,5,86],[4,6,56],[5,6,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(1,5)=6,(1,4)=8,(2,3)=26,(3,4)=31,(1,6)=45,(4,6)=56,(1,3)=57,(3,5)=59,(0,6)=65,(0,3)=76,(3,6)=79,(4,5)=86,(2,6)=90,(5,6)=93,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(5)=2, Add (1,5)=6 Succeeded, w=9\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(4)=4, Add (1,4)=8 Succeeded, w=17\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=26 Succeeded, w=43\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(3)=2, Find(4)=2, Add (3,4)=31 Failed, w=43\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=6, Add (1,6)=45 Succeeded, w=88\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=56 Failed, w=88\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=57 Failed, w=88\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=59 Failed, w=88\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=65 Succeeded, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=76 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=79 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=86 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=90 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=93 Failed, w=153\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=96 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,33],[0,2,2],[0,3,37],[1,3,61],[2,3,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,2],[0,3,37],[1,3,61],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,2],[0,3,37],[1,3,61],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,2],[0,3,37],[1,3,61],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (0,1)=33, w=35\",\"Add (0,3)=37, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,2],[0,3,37],[1,3,61],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (0,1)=33 Succeeded, w=35\",\"Add (0,3)=37 Succeeded, w=72\",\"Add (1,3)=61 Failed, w=72\",\"Add (2,3)=87 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,2],[0,3,37],[1,3,61],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,1)=33,(0,3)=37,(1,3)=61,(2,3)=87]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=72\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=72\",\"Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,33],[0,2,2],[0,3,37],[1,3,61],[2,3,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(0,1)=33,(0,3)=37,(1,3)=61,(2,3)=87]\",\"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: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=87 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,11],[0,2,45],[2,3,84]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,45],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,45],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (2,3)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,45],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11, w=11\",\"Add (0,2)=45, w=56\",\"Add (2,3)=84, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,45],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=11 Succeeded, w=11\",\"Add (0,2)=45 Succeeded, w=56\",\"Add (2,3)=84 Succeeded, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,45],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,2)=45,(2,3)=84]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=56\",\"Find(2)=0, Find(3)=3, Add (2,3)=84 Succeeded, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,11],[0,2,45],[2,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=11,(0,2)=45,(2,3)=84]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=45 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=84 Succeeded, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,26],[0,4,33],[1,2,13],[1,4,51],[1,6,94],[1,7,52],[2,4,23],[2,6,93],[3,4,46],[3,6,26],[3,7,42],[4,5,1],[4,6,63],[4,7,14],[5,7,69],[6,7,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,4,33],[1,2,13],[1,4,51],[1,6,94],[1,7,52],[2,4,23],[2,6,93],[3,4,46],[3,6,26],[3,7,42],[4,5,1],[4,6,63],[4,7,14],[5,7,69],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,4,33],[1,2,13],[1,4,51],[1,6,94],[1,7,52],[2,4,23],[2,6,93],[3,4,46],[3,6,26],[3,7,42],[4,5,1],[4,6,63],[4,7,14],[5,7,69],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,2)\",\"Add (4,7)\",\"Add (6,7)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (3,6)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,4,33],[1,2,13],[1,4,51],[1,6,94],[1,7,52],[2,4,23],[2,6,93],[3,4,46],[3,6,26],[3,7,42],[4,5,1],[4,6,63],[4,7,14],[5,7,69],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1, w=1\",\"Add (1,2)=13, w=14\",\"Add (4,7)=14, w=28\",\"Add (6,7)=14, w=42\",\"Add (2,4)=23, w=65\",\"Add (0,1)=26, w=91\",\"Add (3,6)=26, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,4,33],[1,2,13],[1,4,51],[1,6,94],[1,7,52],[2,4,23],[2,6,93],[3,4,46],[3,6,26],[3,7,42],[4,5,1],[4,6,63],[4,7,14],[5,7,69],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=1 Succeeded, w=1\",\"Add (1,2)=13 Succeeded, w=14\",\"Add (4,7)=14 Succeeded, w=28\",\"Add (6,7)=14 Succeeded, w=42\",\"Add (2,4)=23 Succeeded, w=65\",\"Add (0,1)=26 Succeeded, w=91\",\"Add (3,6)=26 Succeeded, w=117\",\"Add (0,4)=33 Failed, w=117\",\"Add (3,7)=42 Failed, w=117\",\"Add (3,4)=46 Failed, w=117\",\"Add (1,4)=51 Failed, w=117\",\"Add (1,7)=52 Failed, w=117\",\"Add (4,6)=63 Failed, w=117\",\"Add (5,7)=69 Failed, w=117\",\"Add (2,6)=93 Failed, w=117\",\"Add (1,6)=94 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,4,33],[1,2,13],[1,4,51],[1,6,94],[1,7,52],[2,4,23],[2,6,93],[3,4,46],[3,6,26],[3,7,42],[4,5,1],[4,6,63],[4,7,14],[5,7,69],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,2)=13,(4,7)=14,(6,7)=14,(2,4)=23,(0,1)=26,(3,6)=26,(0,4)=33,(3,7)=42,(3,4)=46,(1,4)=51,(1,7)=52,(4,6)=63,(5,7)=69,(2,6)=93,(1,6)=94]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=14\",\"Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=28\",\"Find(6)=6, Find(7)=4, Add (6,7)=14 Succeeded, w=42\",\"Find(2)=1, Find(4)=4, Add (2,4)=23 Succeeded, w=65\",\"Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=91\",\"Find(3)=3, Find(6)=1, Add (3,6)=26 Succeeded, w=117\",\"Find(0)=1, Find(4)=1, Add (0,4)=33 Failed, w=117\",\"Find(3)=1, Find(7)=1, Add (3,7)=42 Failed, w=117\",\"Find(3)=1, Find(4)=1, Add (3,4)=46 Failed, w=117\",\"Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=117\",\"Find(1)=1, Find(7)=1, Add (1,7)=52 Failed, w=117\",\"Find(4)=1, Find(6)=1, Add (4,6)=63 Failed, w=117\",\"Find(5)=1, Find(7)=1, Add (5,7)=69 Failed, w=117\",\"Find(2)=1, Find(6)=1, Add (2,6)=93 Failed, w=117\",\"Find(1)=1, Find(6)=1, Add (1,6)=94 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,26],[0,4,33],[1,2,13],[1,4,51],[1,6,94],[1,7,52],[2,4,23],[2,6,93],[3,4,46],[3,6,26],[3,7,42],[4,5,1],[4,6,63],[4,7,14],[5,7,69],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=1,(1,2)=13,(4,7)=14,(6,7)=14,(2,4)=23,(0,1)=26,(3,6)=26,(0,4)=33,(3,7)=42,(3,4)=46,(1,4)=51,(1,7)=52,(4,6)=63,(5,7)=69,(2,6)=93,(1,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=14 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=6, Find(7)=4, Add (6,7)=14 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4, 6: 4, 7: 4}, Find(2)=1, Find(4)=4, Add (2,4)=23 Succeeded, w=65\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 4, 6: 4, 7: 4}, Find(0)=0, Find(1)=1, Add (0,1)=26 Succeeded, w=91\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 4}, Find(3)=3, Find(6)=1, Add (3,6)=26 Succeeded, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 4}, Find(0)=1, Find(4)=1, Add (0,4)=33 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=42 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=46 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=51 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=52 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=63 Failed, w=117\",\"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)=69 Failed, w=117\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=93 Failed, w=117\",\"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)=94 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,34],[0,2,81],[0,5,34],[0,6,16],[1,2,22],[1,3,86],[1,4,100],[1,5,49],[1,6,89],[2,3,95],[2,4,60],[2,5,44],[2,6,31],[2,7,80],[3,4,87],[3,5,1],[3,6,76],[3,7,24],[4,5,52],[4,6,15],[4,7,1],[5,6,1],[5,7,89],[6,7,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,81],[0,5,34],[0,6,16],[1,2,22],[1,3,86],[1,4,100],[1,5,49],[1,6,89],[2,3,95],[2,4,60],[2,5,44],[2,6,31],[2,7,80],[3,4,87],[3,5,1],[3,6,76],[3,7,24],[4,5,52],[4,6,15],[4,7,1],[5,6,1],[5,7,89],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,81],[0,5,34],[0,6,16],[1,2,22],[1,3,86],[1,4,100],[1,5,49],[1,6,89],[2,3,95],[2,4,60],[2,5,44],[2,6,31],[2,7,80],[3,4,87],[3,5,1],[3,6,76],[3,7,24],[4,5,52],[4,6,15],[4,7,1],[5,6,1],[5,7,89],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (4,7)\",\"Add (5,6)\",\"Add (4,6)\",\"Add (0,6)\",\"Add (1,2)\",\"Add (2,6)\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,81],[0,5,34],[0,6,16],[1,2,22],[1,3,86],[1,4,100],[1,5,49],[1,6,89],[2,3,95],[2,4,60],[2,5,44],[2,6,31],[2,7,80],[3,4,87],[3,5,1],[3,6,76],[3,7,24],[4,5,52],[4,6,15],[4,7,1],[5,6,1],[5,7,89],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1, w=1\",\"Add (4,7)=1, w=2\",\"Add (5,6)=1, w=3\",\"Add (4,6)=15, w=18\",\"Add (0,6)=16, w=34\",\"Add (1,2)=22, w=56\",\"Add (2,6)=31, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,81],[0,5,34],[0,6,16],[1,2,22],[1,3,86],[1,4,100],[1,5,49],[1,6,89],[2,3,95],[2,4,60],[2,5,44],[2,6,31],[2,7,80],[3,4,87],[3,5,1],[3,6,76],[3,7,24],[4,5,52],[4,6,15],[4,7,1],[5,6,1],[5,7,89],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=1 Succeeded, w=1\",\"Add (4,7)=1 Succeeded, w=2\",\"Add (5,6)=1 Succeeded, w=3\",\"Add (4,6)=15 Succeeded, w=18\",\"Add (0,6)=16 Succeeded, w=34\",\"Add (1,2)=22 Succeeded, w=56\",\"Add (3,7)=24 Failed, w=56\",\"Add (2,6)=31 Succeeded, w=87\",\"Add (0,1)=34 Failed, w=87\",\"Add (0,5)=34 Failed, w=87\",\"Add (6,7)=39 Failed, w=87\",\"Add (2,5)=44 Failed, w=87\",\"Add (1,5)=49 Failed, w=87\",\"Add (4,5)=52 Failed, w=87\",\"Add (2,4)=60 Failed, w=87\",\"Add (3,6)=76 Failed, w=87\",\"Add (2,7)=80 Failed, w=87\",\"Add (0,2)=81 Failed, w=87\",\"Add (1,3)=86 Failed, w=87\",\"Add (3,4)=87 Failed, w=87\",\"Add (1,6)=89 Failed, w=87\",\"Add (5,7)=89 Failed, w=87\",\"Add (2,3)=95 Failed, w=87\",\"Add (1,4)=100 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,81],[0,5,34],[0,6,16],[1,2,22],[1,3,86],[1,4,100],[1,5,49],[1,6,89],[2,3,95],[2,4,60],[2,5,44],[2,6,31],[2,7,80],[3,4,87],[3,5,1],[3,6,76],[3,7,24],[4,5,52],[4,6,15],[4,7,1],[5,6,1],[5,7,89],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(4,7)=1,(5,6)=1,(4,6)=15,(0,6)=16,(1,2)=22,(3,7)=24,(2,6)=31,(0,1)=34,(0,5)=34,(6,7)=39,(2,5)=44,(1,5)=49,(4,5)=52,(2,4)=60,(3,6)=76,(2,7)=80,(0,2)=81,(1,3)=86,(3,4)=87,(1,6)=89,(5,7)=89,(2,3)=95,(1,4)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=2\",\"Find(5)=3, Find(6)=6, Add (5,6)=1 Succeeded, w=3\",\"Find(4)=4, Find(6)=3, Add (4,6)=15 Succeeded, w=18\",\"Find(0)=0, Find(6)=4, Add (0,6)=16 Succeeded, w=34\",\"Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=56\",\"Find(3)=4, Find(7)=4, Add (3,7)=24 Failed, w=56\",\"Find(2)=1, Find(6)=4, Add (2,6)=31 Succeeded, w=87\",\"Find(0)=4, Find(1)=4, Add (0,1)=34 Failed, w=87\",\"Find(0)=4, Find(5)=4, Add (0,5)=34 Failed, w=87\",\"Find(6)=4, Find(7)=4, Add (6,7)=39 Failed, w=87\",\"Find(2)=4, Find(5)=4, Add (2,5)=44 Failed, w=87\",\"Find(1)=4, Find(5)=4, Add (1,5)=49 Failed, w=87\",\"Find(4)=4, Find(5)=4, Add (4,5)=52 Failed, w=87\",\"Find(2)=4, Find(4)=4, Add (2,4)=60 Failed, w=87\",\"Find(3)=4, Find(6)=4, Add (3,6)=76 Failed, w=87\",\"Find(2)=4, Find(7)=4, Add (2,7)=80 Failed, w=87\",\"Find(0)=4, Find(2)=4, Add (0,2)=81 Failed, w=87\",\"Find(1)=4, Find(3)=4, Add (1,3)=86 Failed, w=87\",\"Find(3)=4, Find(4)=4, Add (3,4)=87 Failed, w=87\",\"Find(1)=4, Find(6)=4, Add (1,6)=89 Failed, w=87\",\"Find(5)=4, Find(7)=4, Add (5,7)=89 Failed, w=87\",\"Find(2)=4, Find(3)=4, Add (2,3)=95 Failed, w=87\",\"Find(1)=4, Find(4)=4, Add (1,4)=100 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,34],[0,2,81],[0,5,34],[0,6,16],[1,2,22],[1,3,86],[1,4,100],[1,5,49],[1,6,89],[2,3,95],[2,4,60],[2,5,44],[2,6,31],[2,7,80],[3,4,87],[3,5,1],[3,6,76],[3,7,24],[4,5,52],[4,6,15],[4,7,1],[5,6,1],[5,7,89],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=1,(4,7)=1,(5,6)=1,(4,6)=15,(0,6)=16,(1,2)=22,(3,7)=24,(2,6)=31,(0,1)=34,(0,5)=34,(6,7)=39,(2,5)=44,(1,5)=49,(4,5)=52,(2,4)=60,(3,6)=76,(2,7)=80,(0,2)=81,(1,3)=86,(3,4)=87,(1,6)=89,(5,7)=89,(2,3)=95,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=1 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 3, 7: 4}, Find(5)=3, Find(6)=6, Add (5,6)=1 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 3, 6: 3, 7: 4}, Find(4)=4, Find(6)=3, Add (4,6)=15 Succeeded, w=18\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 4, 4: 4, 5: 3, 6: 4, 7: 4}, Find(0)=0, Find(6)=4, Add (0,6)=16 Succeeded, w=34\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 4, 4: 4, 5: 3, 6: 4, 7: 4}, Find(1)=1, Find(2)=2, Add (1,2)=22 Succeeded, w=56\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 4, 4: 4, 5: 3, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=24 Failed, w=56\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 3, 6: 4, 7: 4}, Find(2)=1, Find(6)=4, Add (2,6)=31 Succeeded, w=87\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 3, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=34 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=34 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(6)=4, Find(7)=4, Add (6,7)=39 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(5)=4, Add (2,5)=44 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(5)=4, Add (1,5)=49 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(5)=4, Add (4,5)=52 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(4)=4, Add (2,4)=60 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(6)=4, Add (3,6)=76 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(7)=4, Add (2,7)=80 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=4, Add (0,2)=81 Failed, w=87\",\"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)=86 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=87 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=89 Failed, w=87\",\"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)=89 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(2)=4, Find(3)=4, Add (2,3)=95 Failed, w=87\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=100 Failed, w=87\"],\"Answer\":87}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,99],[0,2,8],[0,3,91],[0,4,12],[0,6,91],[1,2,78],[1,3,6],[1,4,43],[1,5,93],[1,6,64],[1,7,72],[2,3,37],[2,4,16],[2,5,55],[2,6,88],[2,7,88],[3,4,83],[3,5,31],[3,6,98],[3,7,44],[4,5,90],[4,6,80],[4,7,16],[5,6,89],[5,7,19],[6,7,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,8],[0,3,91],[0,4,12],[0,6,91],[1,2,78],[1,3,6],[1,4,43],[1,5,93],[1,6,64],[1,7,72],[2,3,37],[2,4,16],[2,5,55],[2,6,88],[2,7,88],[3,4,83],[3,5,31],[3,6,98],[3,7,44],[4,5,90],[4,6,80],[4,7,16],[5,6,89],[5,7,19],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,8],[0,3,91],[0,4,12],[0,6,91],[1,2,78],[1,3,6],[1,4,43],[1,5,93],[1,6,64],[1,7,72],[2,3,37],[2,4,16],[2,5,55],[2,6,88],[2,7,88],[3,4,83],[3,5,31],[3,6,98],[3,7,44],[4,5,90],[4,6,80],[4,7,16],[5,6,89],[5,7,19],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (4,7)\",\"Add (5,7)\",\"Add (3,5)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,8],[0,3,91],[0,4,12],[0,6,91],[1,2,78],[1,3,6],[1,4,43],[1,5,93],[1,6,64],[1,7,72],[2,3,37],[2,4,16],[2,5,55],[2,6,88],[2,7,88],[3,4,83],[3,5,31],[3,6,98],[3,7,44],[4,5,90],[4,6,80],[4,7,16],[5,6,89],[5,7,19],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=5, w=5\",\"Add (1,3)=6, w=11\",\"Add (0,2)=8, w=19\",\"Add (0,4)=12, w=31\",\"Add (4,7)=16, w=47\",\"Add (5,7)=19, w=66\",\"Add (3,5)=31, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,8],[0,3,91],[0,4,12],[0,6,91],[1,2,78],[1,3,6],[1,4,43],[1,5,93],[1,6,64],[1,7,72],[2,3,37],[2,4,16],[2,5,55],[2,6,88],[2,7,88],[3,4,83],[3,5,31],[3,6,98],[3,7,44],[4,5,90],[4,6,80],[4,7,16],[5,6,89],[5,7,19],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=5 Succeeded, w=5\",\"Add (1,3)=6 Succeeded, w=11\",\"Add (0,2)=8 Succeeded, w=19\",\"Add (0,4)=12 Succeeded, w=31\",\"Add (2,4)=16 Failed, w=31\",\"Add (4,7)=16 Succeeded, w=47\",\"Add (5,7)=19 Succeeded, w=66\",\"Add (3,5)=31 Succeeded, w=97\",\"Add (2,3)=37 Failed, w=97\",\"Add (1,4)=43 Failed, w=97\",\"Add (3,7)=44 Failed, w=97\",\"Add (2,5)=55 Failed, w=97\",\"Add (1,6)=64 Failed, w=97\",\"Add (1,7)=72 Failed, w=97\",\"Add (1,2)=78 Failed, w=97\",\"Add (4,6)=80 Failed, w=97\",\"Add (3,4)=83 Failed, w=97\",\"Add (2,6)=88 Failed, w=97\",\"Add (2,7)=88 Failed, w=97\",\"Add (5,6)=89 Failed, w=97\",\"Add (4,5)=90 Failed, w=97\",\"Add (0,3)=91 Failed, w=97\",\"Add (0,6)=91 Failed, w=97\",\"Add (1,5)=93 Failed, w=97\",\"Add (3,6)=98 Failed, w=97\",\"Add (0,1)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,8],[0,3,91],[0,4,12],[0,6,91],[1,2,78],[1,3,6],[1,4,43],[1,5,93],[1,6,64],[1,7,72],[2,3,37],[2,4,16],[2,5,55],[2,6,88],[2,7,88],[3,4,83],[3,5,31],[3,6,98],[3,7,44],[4,5,90],[4,6,80],[4,7,16],[5,6,89],[5,7,19],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=5,(1,3)=6,(0,2)=8,(0,4)=12,(2,4)=16,(4,7)=16,(5,7)=19,(3,5)=31,(2,3)=37,(1,4)=43,(3,7)=44,(2,5)=55,(1,6)=64,(1,7)=72,(1,2)=78,(4,6)=80,(3,4)=83,(2,6)=88,(2,7)=88,(5,6)=89,(4,5)=90,(0,3)=91,(0,6)=91,(1,5)=93,(3,6)=98,(0,1)=99]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=19\",\"Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=31\",\"Find(2)=0, Find(4)=0, Add (2,4)=16 Failed, w=31\",\"Find(4)=0, Find(7)=6, Add (4,7)=16 Succeeded, w=47\",\"Find(5)=5, Find(7)=0, Add (5,7)=19 Succeeded, w=66\",\"Find(3)=1, Find(5)=0, Add (3,5)=31 Succeeded, w=97\",\"Find(2)=0, Find(3)=0, Add (2,3)=37 Failed, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=43 Failed, w=97\",\"Find(3)=0, Find(7)=0, Add (3,7)=44 Failed, w=97\",\"Find(2)=0, Find(5)=0, Add (2,5)=55 Failed, w=97\",\"Find(1)=0, Find(6)=0, Add (1,6)=64 Failed, w=97\",\"Find(1)=0, Find(7)=0, Add (1,7)=72 Failed, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=97\",\"Find(4)=0, Find(6)=0, Add (4,6)=80 Failed, w=97\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=97\",\"Find(2)=0, Find(6)=0, Add (2,6)=88 Failed, w=97\",\"Find(2)=0, Find(7)=0, Add (2,7)=88 Failed, w=97\",\"Find(5)=0, Find(6)=0, Add (5,6)=89 Failed, w=97\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=91 Failed, w=97\",\"Find(0)=0, Find(6)=0, Add (0,6)=91 Failed, w=97\",\"Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=97\",\"Find(3)=0, Find(6)=0, Add (3,6)=98 Failed, w=97\",\"Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,99],[0,2,8],[0,3,91],[0,4,12],[0,6,91],[1,2,78],[1,3,6],[1,4,43],[1,5,93],[1,6,64],[1,7,72],[2,3,37],[2,4,16],[2,5,55],[2,6,88],[2,7,88],[3,4,83],[3,5,31],[3,6,98],[3,7,44],[4,5,90],[4,6,80],[4,7,16],[5,6,89],[5,7,19],[6,7,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=5,(1,3)=6,(0,2)=8,(0,4)=12,(2,4)=16,(4,7)=16,(5,7)=19,(3,5)=31,(2,3)=37,(1,4)=43,(3,7)=44,(2,5)=55,(1,6)=64,(1,7)=72,(1,2)=78,(4,6)=80,(3,4)=83,(2,6)=88,(2,7)=88,(5,6)=89,(4,5)=90,(0,3)=91,(0,6)=91,(1,5)=93,(3,6)=98,(0,1)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(4)=4, Add (0,4)=12 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 6, 7: 6}, Find(2)=0, Find(4)=0, Add (2,4)=16 Failed, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 5, 6: 0, 7: 6}, Find(4)=0, Find(7)=6, Add (4,7)=16 Succeeded, w=47\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=19 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=1, Find(5)=0, Add (3,5)=31 Succeeded, w=97\",\"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)=37 Failed, w=97\",\"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)=43 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=44 Failed, w=97\",\"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)=55 Failed, w=97\",\"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)=64 Failed, w=97\",\"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)=72 Failed, w=97\",\"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)=78 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=80 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=88 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=88 Failed, w=97\",\"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)=89 Failed, w=97\",\"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)=90 Failed, w=97\",\"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)=91 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=91 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=93 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=98 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,49],[0,3,86],[0,4,40],[0,6,76],[1,2,73],[1,3,19],[1,4,47],[1,5,94],[2,3,23],[2,5,28],[3,6,27],[4,5,15],[4,6,34],[5,6,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,49],[0,3,86],[0,4,40],[0,6,76],[1,2,73],[1,3,19],[1,4,47],[1,5,94],[2,3,23],[2,5,28],[3,6,27],[4,5,15],[4,6,34],[5,6,95]]}",
"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],\"edges\":[[0,2,49],[0,3,86],[0,4,40],[0,6,76],[1,2,73],[1,3,19],[1,4,47],[1,5,94],[2,3,23],[2,5,28],[3,6,27],[4,5,15],[4,6,34],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (1,3)\",\"Add (2,3)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (0,4)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,49],[0,3,86],[0,4,40],[0,6,76],[1,2,73],[1,3,19],[1,4,47],[1,5,94],[2,3,23],[2,5,28],[3,6,27],[4,5,15],[4,6,34],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=15, w=15\",\"Add (1,3)=19, w=34\",\"Add (2,3)=23, w=57\",\"Add (3,6)=27, w=84\",\"Add (2,5)=28, w=112\",\"Add (0,4)=40, 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],\"edges\":[[0,2,49],[0,3,86],[0,4,40],[0,6,76],[1,2,73],[1,3,19],[1,4,47],[1,5,94],[2,3,23],[2,5,28],[3,6,27],[4,5,15],[4,6,34],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=15 Succeeded, w=15\",\"Add (1,3)=19 Succeeded, w=34\",\"Add (2,3)=23 Succeeded, w=57\",\"Add (3,6)=27 Succeeded, w=84\",\"Add (2,5)=28 Succeeded, w=112\",\"Add (4,6)=34 Failed, w=112\",\"Add (0,4)=40 Succeeded, w=152\",\"Add (1,4)=47 Failed, w=152\",\"Add (0,2)=49 Failed, w=152\",\"Add (1,2)=73 Failed, w=152\",\"Add (0,6)=76 Failed, w=152\",\"Add (0,3)=86 Failed, w=152\",\"Add (1,5)=94 Failed, w=152\",\"Add (5,6)=95 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],\"edges\":[[0,2,49],[0,3,86],[0,4,40],[0,6,76],[1,2,73],[1,3,19],[1,4,47],[1,5,94],[2,3,23],[2,5,28],[3,6,27],[4,5,15],[4,6,34],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=15,(1,3)=19,(2,3)=23,(3,6)=27,(2,5)=28,(4,6)=34,(0,4)=40,(1,4)=47,(0,2)=49,(1,2)=73,(0,6)=76,(0,3)=86,(1,5)=94,(5,6)=95]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=15 Succeeded, w=15\",\"Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=34\",\"Find(2)=2, Find(3)=1, Add (2,3)=23 Succeeded, w=57\",\"Find(3)=1, Find(6)=6, Add (3,6)=27 Succeeded, w=84\",\"Find(2)=1, Find(5)=4, Add (2,5)=28 Succeeded, w=112\",\"Find(4)=1, Find(6)=1, Add (4,6)=34 Failed, w=112\",\"Find(0)=0, Find(4)=1, Add (0,4)=40 Succeeded, w=152\",\"Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=152\",\"Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=152\",\"Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=152\",\"Find(0)=1, Find(6)=1, Add (0,6)=76 Failed, w=152\",\"Find(0)=1, Find(3)=1, Add (0,3)=86 Failed, w=152\",\"Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=152\",\"Find(5)=1, Find(6)=1, Add (5,6)=95 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],\"edges\":[[0,2,49],[0,3,86],[0,4,40],[0,6,76],[1,2,73],[1,3,19],[1,4,47],[1,5,94],[2,3,23],[2,5,28],[3,6,27],[4,5,15],[4,6,34],[5,6,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=15,(1,3)=19,(2,3)=23,(3,6)=27,(2,5)=28,(4,6)=34,(0,4)=40,(1,4)=47,(0,2)=49,(1,2)=73,(0,6)=76,(0,3)=86,(1,5)=94,(5,6)=95]\",\"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)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 4, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=19 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 6}, Find(2)=2, Find(3)=1, Add (2,3)=23 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 4, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=27 Succeeded, w=84\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(2)=1, Find(5)=4, Add (2,5)=28 Succeeded, w=112\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=34 Failed, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(0)=0, Find(4)=1, Add (0,4)=40 Succeeded, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=47 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=73 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=76 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 4, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=86 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=94 Failed, w=152\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=95 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,2,37],[0,4,11],[1,3,93],[1,4,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,37],[0,4,11],[1,3,93],[1,4,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,37],[0,4,11],[1,3,93],[1,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,37],[0,4,11],[1,3,93],[1,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (0,4)=11, w=19\",\"Add (0,2)=37, w=56\",\"Add (1,3)=93, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,37],[0,4,11],[1,3,93],[1,4,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (0,4)=11 Succeeded, w=19\",\"Add (0,2)=37 Succeeded, w=56\",\"Add (1,4)=92 Failed, w=56\",\"Add (1,3)=93 Succeeded, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,37],[0,4,11],[1,3,93],[1,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,4)=11,(0,2)=37,(1,4)=92,(1,3)=93]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=56\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=56\",\"Find(1)=0, Find(3)=3, Add (1,3)=93 Succeeded, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,37],[0,4,11],[1,3,93],[1,4,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(0,4)=11,(0,2)=37,(1,4)=92,(1,3)=93]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=37 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=93 Succeeded, w=149\"],\"Answer\":149}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,81],[0,2,11],[0,4,89],[1,2,85],[1,3,61],[1,4,31],[1,5,70],[2,3,5],[2,5,16],[3,4,7],[3,5,91],[4,5,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,11],[0,4,89],[1,2,85],[1,3,61],[1,4,31],[1,5,70],[2,3,5],[2,5,16],[3,4,7],[3,5,91],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,11],[0,4,89],[1,2,85],[1,3,61],[1,4,31],[1,5,70],[2,3,5],[2,5,16],[3,4,7],[3,5,91],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (1,4)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,11],[0,4,89],[1,2,85],[1,3,61],[1,4,31],[1,5,70],[2,3,5],[2,5,16],[3,4,7],[3,5,91],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5, w=5\",\"Add (3,4)=7, w=12\",\"Add (0,2)=11, w=23\",\"Add (2,5)=16, w=39\",\"Add (1,4)=31, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,11],[0,4,89],[1,2,85],[1,3,61],[1,4,31],[1,5,70],[2,3,5],[2,5,16],[3,4,7],[3,5,91],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=5 Succeeded, w=5\",\"Add (3,4)=7 Succeeded, w=12\",\"Add (0,2)=11 Succeeded, w=23\",\"Add (2,5)=16 Succeeded, w=39\",\"Add (1,4)=31 Succeeded, w=70\",\"Add (4,5)=60 Failed, w=70\",\"Add (1,3)=61 Failed, w=70\",\"Add (1,5)=70 Failed, w=70\",\"Add (0,1)=81 Failed, w=70\",\"Add (1,2)=85 Failed, w=70\",\"Add (0,4)=89 Failed, w=70\",\"Add (3,5)=91 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,11],[0,4,89],[1,2,85],[1,3,61],[1,4,31],[1,5,70],[2,3,5],[2,5,16],[3,4,7],[3,5,91],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(3,4)=7,(0,2)=11,(2,5)=16,(1,4)=31,(4,5)=60,(1,3)=61,(1,5)=70,(0,1)=81,(1,2)=85,(0,4)=89,(3,5)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Find(3)=2, Find(4)=4, Add (3,4)=7 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=23\",\"Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=39\",\"Find(1)=1, Find(4)=2, Add (1,4)=31 Succeeded, w=70\",\"Find(4)=2, Find(5)=2, Add (4,5)=60 Failed, w=70\",\"Find(1)=2, Find(3)=2, Add (1,3)=61 Failed, w=70\",\"Find(1)=2, Find(5)=2, Add (1,5)=70 Failed, w=70\",\"Find(0)=2, Find(1)=2, Add (0,1)=81 Failed, w=70\",\"Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=70\",\"Find(0)=2, Find(4)=2, Add (0,4)=89 Failed, w=70\",\"Find(3)=2, Find(5)=2, Add (3,5)=91 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,81],[0,2,11],[0,4,89],[1,2,85],[1,3,61],[1,4,31],[1,5,70],[2,3,5],[2,5,16],[3,4,7],[3,5,91],[4,5,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=5,(3,4)=7,(0,2)=11,(2,5)=16,(1,4)=31,(4,5)=60,(1,3)=61,(1,5)=70,(0,1)=81,(1,2)=85,(0,4)=89,(3,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(3)=2, Find(4)=4, Add (3,4)=7 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=23\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=16 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=31 Succeeded, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=60 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=61 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=70 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=81 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=85 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=89 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=91 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,27],[0,3,1],[0,4,19],[0,5,80],[0,6,60],[0,7,97],[1,3,87],[1,4,68],[1,5,33],[1,6,76],[1,7,12],[2,3,46],[2,5,95],[2,6,46],[2,7,44],[3,4,72],[3,5,93],[3,6,33],[4,6,44],[4,7,85],[5,6,21],[5,7,57],[6,7,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,27],[0,3,1],[0,4,19],[0,5,80],[0,6,60],[0,7,97],[1,3,87],[1,4,68],[1,5,33],[1,6,76],[1,7,12],[2,3,46],[2,5,95],[2,6,46],[2,7,44],[3,4,72],[3,5,93],[3,6,33],[4,6,44],[4,7,85],[5,6,21],[5,7,57],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,27],[0,3,1],[0,4,19],[0,5,80],[0,6,60],[0,7,97],[1,3,87],[1,4,68],[1,5,33],[1,6,76],[1,7,12],[2,3,46],[2,5,95],[2,6,46],[2,7,44],[3,4,72],[3,5,93],[3,6,33],[4,6,44],[4,7,85],[5,6,21],[5,7,57],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (1,7)\",\"Add (0,4)\",\"Add (5,6)\",\"Add (0,2)\",\"Add (1,5)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,27],[0,3,1],[0,4,19],[0,5,80],[0,6,60],[0,7,97],[1,3,87],[1,4,68],[1,5,33],[1,6,76],[1,7,12],[2,3,46],[2,5,95],[2,6,46],[2,7,44],[3,4,72],[3,5,93],[3,6,33],[4,6,44],[4,7,85],[5,6,21],[5,7,57],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (0,1)=4, w=5\",\"Add (1,7)=12, w=17\",\"Add (0,4)=19, w=36\",\"Add (5,6)=21, w=57\",\"Add (0,2)=27, w=84\",\"Add (1,5)=33, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,27],[0,3,1],[0,4,19],[0,5,80],[0,6,60],[0,7,97],[1,3,87],[1,4,68],[1,5,33],[1,6,76],[1,7,12],[2,3,46],[2,5,95],[2,6,46],[2,7,44],[3,4,72],[3,5,93],[3,6,33],[4,6,44],[4,7,85],[5,6,21],[5,7,57],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (0,1)=4 Succeeded, w=5\",\"Add (1,7)=12 Succeeded, w=17\",\"Add (0,4)=19 Succeeded, w=36\",\"Add (5,6)=21 Succeeded, w=57\",\"Add (0,2)=27 Succeeded, w=84\",\"Add (1,5)=33 Succeeded, w=117\",\"Add (3,6)=33 Failed, w=117\",\"Add (6,7)=41 Failed, w=117\",\"Add (2,7)=44 Failed, w=117\",\"Add (4,6)=44 Failed, w=117\",\"Add (2,3)=46 Failed, w=117\",\"Add (2,6)=46 Failed, w=117\",\"Add (5,7)=57 Failed, w=117\",\"Add (0,6)=60 Failed, w=117\",\"Add (1,4)=68 Failed, w=117\",\"Add (3,4)=72 Failed, w=117\",\"Add (1,6)=76 Failed, w=117\",\"Add (0,5)=80 Failed, w=117\",\"Add (4,7)=85 Failed, w=117\",\"Add (1,3)=87 Failed, w=117\",\"Add (3,5)=93 Failed, w=117\",\"Add (2,5)=95 Failed, w=117\",\"Add (0,7)=97 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,27],[0,3,1],[0,4,19],[0,5,80],[0,6,60],[0,7,97],[1,3,87],[1,4,68],[1,5,33],[1,6,76],[1,7,12],[2,3,46],[2,5,95],[2,6,46],[2,7,44],[3,4,72],[3,5,93],[3,6,33],[4,6,44],[4,7,85],[5,6,21],[5,7,57],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,1)=4,(1,7)=12,(0,4)=19,(5,6)=21,(0,2)=27,(1,5)=33,(3,6)=33,(6,7)=41,(2,7)=44,(4,6)=44,(2,3)=46,(2,6)=46,(5,7)=57,(0,6)=60,(1,4)=68,(3,4)=72,(1,6)=76,(0,5)=80,(4,7)=85,(1,3)=87,(3,5)=93,(2,5)=95,(0,7)=97]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=5\",\"Find(1)=0, Find(7)=7, Add (1,7)=12 Succeeded, w=17\",\"Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=36\",\"Find(5)=5, Find(6)=6, Add (5,6)=21 Succeeded, w=57\",\"Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=84\",\"Find(1)=0, Find(5)=5, Add (1,5)=33 Succeeded, w=117\",\"Find(3)=0, Find(6)=0, Add (3,6)=33 Failed, w=117\",\"Find(6)=0, Find(7)=0, Add (6,7)=41 Failed, w=117\",\"Find(2)=0, Find(7)=0, Add (2,7)=44 Failed, w=117\",\"Find(4)=0, Find(6)=0, Add (4,6)=44 Failed, w=117\",\"Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=117\",\"Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=117\",\"Find(5)=0, Find(7)=0, Add (5,7)=57 Failed, w=117\",\"Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=117\",\"Find(1)=0, Find(4)=0, Add (1,4)=68 Failed, w=117\",\"Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=117\",\"Find(1)=0, Find(6)=0, Add (1,6)=76 Failed, w=117\",\"Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=117\",\"Find(4)=0, Find(7)=0, Add (4,7)=85 Failed, w=117\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=117\",\"Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=117\",\"Find(2)=0, Find(5)=0, Add (2,5)=95 Failed, w=117\",\"Find(0)=0, Find(7)=0, Add (0,7)=97 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,27],[0,3,1],[0,4,19],[0,5,80],[0,6,60],[0,7,97],[1,3,87],[1,4,68],[1,5,33],[1,6,76],[1,7,12],[2,3,46],[2,5,95],[2,6,46],[2,7,44],[3,4,72],[3,5,93],[3,6,33],[4,6,44],[4,7,85],[5,6,21],[5,7,57],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,1)=4,(1,7)=12,(0,4)=19,(5,6)=21,(0,2)=27,(1,5)=33,(3,6)=33,(6,7)=41,(2,7)=44,(4,6)=44,(2,3)=46,(2,6)=46,(5,7)=57,(0,6)=60,(1,4)=68,(3,4)=72,(1,6)=76,(0,5)=80,(4,7)=85,(1,3)=87,(3,5)=93,(2,5)=95,(0,7)=97]\",\"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: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 0}, Find(0)=0, Find(4)=4, Add (0,4)=19 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5, 6: 5, 7: 0}, Find(5)=5, Find(6)=6, Add (5,6)=21 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 5, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=27 Succeeded, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 5, 7: 0}, Find(1)=0, Find(5)=5, Add (1,5)=33 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=33 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=41 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=44 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=44 Failed, w=117\",\"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)=46 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=46 Failed, w=117\",\"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)=57 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=60 Failed, w=117\",\"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)=68 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=72 Failed, w=117\",\"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)=76 Failed, w=117\",\"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)=80 Failed, w=117\",\"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)=85 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=93 Failed, w=117\",\"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)=95 Failed, w=117\",\"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)=97 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,23],[0,2,71],[0,4,43],[0,5,76],[0,6,8],[1,2,6],[1,3,67],[1,4,80],[1,5,82],[2,3,22],[2,4,88],[2,5,30],[2,6,73],[3,4,76],[3,5,86],[3,6,73],[4,5,26],[4,6,8],[5,6,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,71],[0,4,43],[0,5,76],[0,6,8],[1,2,6],[1,3,67],[1,4,80],[1,5,82],[2,3,22],[2,4,88],[2,5,30],[2,6,73],[3,4,76],[3,5,86],[3,6,73],[4,5,26],[4,6,8],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,71],[0,4,43],[0,5,76],[0,6,8],[1,2,6],[1,3,67],[1,4,80],[1,5,82],[2,3,22],[2,4,88],[2,5,30],[2,6,73],[3,4,76],[3,5,86],[3,6,73],[4,5,26],[4,6,8],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (4,5)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,71],[0,4,43],[0,5,76],[0,6,8],[1,2,6],[1,3,67],[1,4,80],[1,5,82],[2,3,22],[2,4,88],[2,5,30],[2,6,73],[3,4,76],[3,5,86],[3,6,73],[4,5,26],[4,6,8],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (0,6)=8, w=14\",\"Add (4,6)=8, w=22\",\"Add (2,3)=22, w=44\",\"Add (0,1)=23, w=67\",\"Add (4,5)=26, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,71],[0,4,43],[0,5,76],[0,6,8],[1,2,6],[1,3,67],[1,4,80],[1,5,82],[2,3,22],[2,4,88],[2,5,30],[2,6,73],[3,4,76],[3,5,86],[3,6,73],[4,5,26],[4,6,8],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (0,6)=8 Succeeded, w=14\",\"Add (4,6)=8 Succeeded, w=22\",\"Add (2,3)=22 Succeeded, w=44\",\"Add (0,1)=23 Succeeded, w=67\",\"Add (4,5)=26 Succeeded, w=93\",\"Add (2,5)=30 Failed, w=93\",\"Add (0,4)=43 Failed, w=93\",\"Add (5,6)=51 Failed, w=93\",\"Add (1,3)=67 Failed, w=93\",\"Add (0,2)=71 Failed, w=93\",\"Add (2,6)=73 Failed, w=93\",\"Add (3,6)=73 Failed, w=93\",\"Add (0,5)=76 Failed, w=93\",\"Add (3,4)=76 Failed, w=93\",\"Add (1,4)=80 Failed, w=93\",\"Add (1,5)=82 Failed, w=93\",\"Add (3,5)=86 Failed, w=93\",\"Add (2,4)=88 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,71],[0,4,43],[0,5,76],[0,6,8],[1,2,6],[1,3,67],[1,4,80],[1,5,82],[2,3,22],[2,4,88],[2,5,30],[2,6,73],[3,4,76],[3,5,86],[3,6,73],[4,5,26],[4,6,8],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,6)=8,(4,6)=8,(2,3)=22,(0,1)=23,(4,5)=26,(2,5)=30,(0,4)=43,(5,6)=51,(1,3)=67,(0,2)=71,(2,6)=73,(3,6)=73,(0,5)=76,(3,4)=76,(1,4)=80,(1,5)=82,(3,5)=86,(2,4)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=14\",\"Find(4)=4, Find(6)=0, Add (4,6)=8 Succeeded, w=22\",\"Find(2)=1, Find(3)=3, Add (2,3)=22 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=67\",\"Find(4)=0, Find(5)=5, Add (4,5)=26 Succeeded, w=93\",\"Find(2)=0, Find(5)=0, Add (2,5)=30 Failed, w=93\",\"Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=93\",\"Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=93\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=93\",\"Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=93\",\"Find(2)=0, Find(6)=0, Add (2,6)=73 Failed, w=93\",\"Find(3)=0, Find(6)=0, Add (3,6)=73 Failed, w=93\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=93\",\"Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=93\",\"Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=93\",\"Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=93\",\"Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=93\",\"Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,23],[0,2,71],[0,4,43],[0,5,76],[0,6,8],[1,2,6],[1,3,67],[1,4,80],[1,5,82],[2,3,22],[2,4,88],[2,5,30],[2,6,73],[3,4,76],[3,5,86],[3,6,73],[4,5,26],[4,6,8],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(0,6)=8,(4,6)=8,(2,3)=22,(0,1)=23,(4,5)=26,(2,5)=30,(0,4)=43,(5,6)=51,(1,3)=67,(0,2)=71,(2,6)=73,(3,6)=73,(0,5)=76,(3,4)=76,(1,4)=80,(1,5)=82,(3,5)=86,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=8 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 0}, Find(2)=1, Find(3)=3, Add (2,3)=22 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=5, Add (4,5)=26 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=30 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=43 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=51 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=71 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=73 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=73 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=76 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=80 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=82 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=86 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=88 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,52],[0,2,63],[0,3,78],[1,2,59],[1,3,40],[2,3,23]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,63],[0,3,78],[1,2,59],[1,3,40],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,63],[0,3,78],[1,2,59],[1,3,40],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,63],[0,3,78],[1,2,59],[1,3,40],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23, w=23\",\"Add (1,3)=40, w=63\",\"Add (0,1)=52, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,63],[0,3,78],[1,2,59],[1,3,40],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=23 Succeeded, w=23\",\"Add (1,3)=40 Succeeded, w=63\",\"Add (0,1)=52 Succeeded, w=115\",\"Add (1,2)=59 Failed, w=115\",\"Add (0,2)=63 Failed, w=115\",\"Add (0,3)=78 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,63],[0,3,78],[1,2,59],[1,3,40],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(1,3)=40,(0,1)=52,(1,2)=59,(0,2)=63,(0,3)=78]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Find(1)=1, Find(3)=2, Add (1,3)=40 Succeeded, w=63\",\"Find(0)=0, Find(1)=2, Add (0,1)=52 Succeeded, w=115\",\"Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=115\",\"Find(0)=2, Find(2)=2, Add (0,2)=63 Failed, w=115\",\"Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,63],[0,3,78],[1,2,59],[1,3,40],[2,3,23]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=23,(1,3)=40,(0,1)=52,(1,2)=59,(0,2)=63,(0,3)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=40 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=52 Succeeded, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=59 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=63 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,4],[0,2,98],[0,3,100],[0,4,29],[1,2,19],[1,3,78],[1,4,76],[2,3,9],[2,4,45],[3,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,98],[0,3,100],[0,4,29],[1,2,19],[1,3,78],[1,4,76],[2,3,9],[2,4,45],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,98],[0,3,100],[0,4,29],[1,2,19],[1,3,78],[1,4,76],[2,3,9],[2,4,45],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (0,4)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,98],[0,3,100],[0,4,29],[1,2,19],[1,3,78],[1,4,76],[2,3,9],[2,4,45],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (2,3)=9, w=13\",\"Add (1,2)=19, w=32\",\"Add (0,4)=29, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,98],[0,3,100],[0,4,29],[1,2,19],[1,3,78],[1,4,76],[2,3,9],[2,4,45],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (2,3)=9 Succeeded, w=13\",\"Add (1,2)=19 Succeeded, w=32\",\"Add (0,4)=29 Succeeded, w=61\",\"Add (2,4)=45 Failed, w=61\",\"Add (1,4)=76 Failed, w=61\",\"Add (1,3)=78 Failed, w=61\",\"Add (0,2)=98 Failed, w=61\",\"Add (3,4)=99 Failed, w=61\",\"Add (0,3)=100 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,98],[0,3,100],[0,4,29],[1,2,19],[1,3,78],[1,4,76],[2,3,9],[2,4,45],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,3)=9,(1,2)=19,(0,4)=29,(2,4)=45,(1,4)=76,(1,3)=78,(0,2)=98,(3,4)=99,(0,3)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=13\",\"Find(1)=0, Find(2)=2, Add (1,2)=19 Succeeded, w=32\",\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=61\",\"Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=61\",\"Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=61\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=61\",\"Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=61\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=61\",\"Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,4],[0,2,98],[0,3,100],[0,4,29],[1,2,19],[1,3,78],[1,4,76],[2,3,9],[2,4,45],[3,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,3)=9,(1,2)=19,(0,4)=29,(2,4)=45,(1,4)=76,(1,3)=78,(0,2)=98,(3,4)=99,(0,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=19 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=76 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=98 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=100 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,6],[0,3,21],[0,5,34],[0,6,5],[0,7,64],[1,3,87],[1,4,6],[1,7,91],[2,3,19],[2,4,9],[2,6,93],[2,7,99],[3,4,12],[3,5,39],[3,7,40],[4,5,49],[4,7,23],[5,6,57],[5,7,100],[6,7,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,21],[0,5,34],[0,6,5],[0,7,64],[1,3,87],[1,4,6],[1,7,91],[2,3,19],[2,4,9],[2,6,93],[2,7,99],[3,4,12],[3,5,39],[3,7,40],[4,5,49],[4,7,23],[5,6,57],[5,7,100],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,21],[0,5,34],[0,6,5],[0,7,64],[1,3,87],[1,4,6],[1,7,91],[2,3,19],[2,4,9],[2,6,93],[2,7,99],[3,4,12],[3,5,39],[3,7,40],[4,5,49],[4,7,23],[5,6,57],[5,7,100],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (3,4)\",\"Add (6,7)\",\"Add (0,5)\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,21],[0,5,34],[0,6,5],[0,7,64],[1,3,87],[1,4,6],[1,7,91],[2,3,19],[2,4,9],[2,6,93],[2,7,99],[3,4,12],[3,5,39],[3,7,40],[4,5,49],[4,7,23],[5,6,57],[5,7,100],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=5, w=5\",\"Add (0,2)=6, w=11\",\"Add (1,4)=6, w=17\",\"Add (2,4)=9, w=26\",\"Add (3,4)=12, w=38\",\"Add (6,7)=18, w=56\",\"Add (0,5)=34, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,21],[0,5,34],[0,6,5],[0,7,64],[1,3,87],[1,4,6],[1,7,91],[2,3,19],[2,4,9],[2,6,93],[2,7,99],[3,4,12],[3,5,39],[3,7,40],[4,5,49],[4,7,23],[5,6,57],[5,7,100],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=5 Succeeded, w=5\",\"Add (0,2)=6 Succeeded, w=11\",\"Add (1,4)=6 Succeeded, w=17\",\"Add (2,4)=9 Succeeded, w=26\",\"Add (3,4)=12 Succeeded, w=38\",\"Add (6,7)=18 Succeeded, w=56\",\"Add (2,3)=19 Failed, w=56\",\"Add (0,3)=21 Failed, w=56\",\"Add (4,7)=23 Failed, w=56\",\"Add (0,5)=34 Succeeded, w=90\",\"Add (3,5)=39 Failed, w=90\",\"Add (3,7)=40 Failed, w=90\",\"Add (4,5)=49 Failed, w=90\",\"Add (5,6)=57 Failed, w=90\",\"Add (0,7)=64 Failed, w=90\",\"Add (1,3)=87 Failed, w=90\",\"Add (1,7)=91 Failed, w=90\",\"Add (2,6)=93 Failed, w=90\",\"Add (2,7)=99 Failed, w=90\",\"Add (5,7)=100 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,21],[0,5,34],[0,6,5],[0,7,64],[1,3,87],[1,4,6],[1,7,91],[2,3,19],[2,4,9],[2,6,93],[2,7,99],[3,4,12],[3,5,39],[3,7,40],[4,5,49],[4,7,23],[5,6,57],[5,7,100],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=5,(0,2)=6,(1,4)=6,(2,4)=9,(3,4)=12,(6,7)=18,(2,3)=19,(0,3)=21,(4,7)=23,(0,5)=34,(3,5)=39,(3,7)=40,(4,5)=49,(5,6)=57,(0,7)=64,(1,3)=87,(1,7)=91,(2,6)=93,(2,7)=99,(5,7)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=17\",\"Find(2)=0, Find(4)=1, Add (2,4)=9 Succeeded, w=26\",\"Find(3)=3, Find(4)=0, Add (3,4)=12 Succeeded, w=38\",\"Find(6)=0, Find(7)=7, Add (6,7)=18 Succeeded, w=56\",\"Find(2)=0, Find(3)=0, Add (2,3)=19 Failed, w=56\",\"Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=56\",\"Find(4)=0, Find(7)=0, Add (4,7)=23 Failed, w=56\",\"Find(0)=0, Find(5)=5, Add (0,5)=34 Succeeded, w=90\",\"Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=90\",\"Find(3)=0, Find(7)=0, Add (3,7)=40 Failed, w=90\",\"Find(4)=0, Find(5)=0, Add (4,5)=49 Failed, w=90\",\"Find(5)=0, Find(6)=0, Add (5,6)=57 Failed, w=90\",\"Find(0)=0, Find(7)=0, Add (0,7)=64 Failed, w=90\",\"Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=90\",\"Find(1)=0, Find(7)=0, Add (1,7)=91 Failed, w=90\",\"Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=90\",\"Find(2)=0, Find(7)=0, Add (2,7)=99 Failed, w=90\",\"Find(5)=0, Find(7)=0, Add (5,7)=100 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,6],[0,3,21],[0,5,34],[0,6,5],[0,7,64],[1,3,87],[1,4,6],[1,7,91],[2,3,19],[2,4,9],[2,6,93],[2,7,99],[3,4,12],[3,5,39],[3,7,40],[4,5,49],[4,7,23],[5,6,57],[5,7,100],[6,7,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=5,(0,2)=6,(1,4)=6,(2,4)=9,(3,4)=12,(6,7)=18,(2,3)=19,(0,3)=21,(4,7)=23,(0,5)=34,(3,5)=39,(3,7)=40,(4,5)=49,(5,6)=57,(0,7)=64,(1,3)=87,(1,7)=91,(2,6)=93,(2,7)=99,(5,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=6 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1, 5: 5, 6: 0, 7: 7}, Find(2)=0, Find(4)=1, Add (2,4)=9 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(3)=3, Find(4)=0, Add (3,4)=12 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=18 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=19 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=21 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=23 Failed, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=5, Add (0,5)=34 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=40 Failed, w=90\",\"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)=49 Failed, w=90\",\"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)=57 Failed, w=90\",\"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)=64 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=87 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=91 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=93 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=99 Failed, w=90\",\"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)=100 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,70],[0,3,62],[0,4,74],[0,5,49],[0,6,42],[0,7,46],[1,2,24],[1,3,33],[1,4,2],[1,5,17],[1,6,92],[1,7,61],[2,3,53],[2,4,60],[2,5,70],[2,6,92],[2,7,83],[3,4,80],[3,5,31],[3,6,35],[3,7,13],[4,6,83],[4,7,21],[5,6,68],[5,7,83],[6,7,95]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,70],[0,3,62],[0,4,74],[0,5,49],[0,6,42],[0,7,46],[1,2,24],[1,3,33],[1,4,2],[1,5,17],[1,6,92],[1,7,61],[2,3,53],[2,4,60],[2,5,70],[2,6,92],[2,7,83],[3,4,80],[3,5,31],[3,6,35],[3,7,13],[4,6,83],[4,7,21],[5,6,68],[5,7,83],[6,7,95]]}",
"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\":[[0,1,70],[0,3,62],[0,4,74],[0,5,49],[0,6,42],[0,7,46],[1,2,24],[1,3,33],[1,4,2],[1,5,17],[1,6,92],[1,7,61],[2,3,53],[2,4,60],[2,5,70],[2,6,92],[2,7,83],[3,4,80],[3,5,31],[3,6,35],[3,7,13],[4,6,83],[4,7,21],[5,6,68],[5,7,83],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,7)\",\"Add (1,5)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (0,6)\"],\"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\":[[0,1,70],[0,3,62],[0,4,74],[0,5,49],[0,6,42],[0,7,46],[1,2,24],[1,3,33],[1,4,2],[1,5,17],[1,6,92],[1,7,61],[2,3,53],[2,4,60],[2,5,70],[2,6,92],[2,7,83],[3,4,80],[3,5,31],[3,6,35],[3,7,13],[4,6,83],[4,7,21],[5,6,68],[5,7,83],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2, w=2\",\"Add (3,7)=13, w=15\",\"Add (1,5)=17, w=32\",\"Add (4,7)=21, w=53\",\"Add (1,2)=24, w=77\",\"Add (3,6)=35, w=112\",\"Add (0,6)=42, 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\":[[0,1,70],[0,3,62],[0,4,74],[0,5,49],[0,6,42],[0,7,46],[1,2,24],[1,3,33],[1,4,2],[1,5,17],[1,6,92],[1,7,61],[2,3,53],[2,4,60],[2,5,70],[2,6,92],[2,7,83],[3,4,80],[3,5,31],[3,6,35],[3,7,13],[4,6,83],[4,7,21],[5,6,68],[5,7,83],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=2 Succeeded, w=2\",\"Add (3,7)=13 Succeeded, w=15\",\"Add (1,5)=17 Succeeded, w=32\",\"Add (4,7)=21 Succeeded, w=53\",\"Add (1,2)=24 Succeeded, w=77\",\"Add (3,5)=31 Failed, w=77\",\"Add (1,3)=33 Failed, w=77\",\"Add (3,6)=35 Succeeded, w=112\",\"Add (0,6)=42 Succeeded, w=154\",\"Add (0,7)=46 Failed, w=154\",\"Add (0,5)=49 Failed, w=154\",\"Add (2,3)=53 Failed, w=154\",\"Add (2,4)=60 Failed, w=154\",\"Add (1,7)=61 Failed, w=154\",\"Add (0,3)=62 Failed, w=154\",\"Add (5,6)=68 Failed, w=154\",\"Add (0,1)=70 Failed, w=154\",\"Add (2,5)=70 Failed, w=154\",\"Add (0,4)=74 Failed, w=154\",\"Add (3,4)=80 Failed, w=154\",\"Add (2,7)=83 Failed, w=154\",\"Add (4,6)=83 Failed, w=154\",\"Add (5,7)=83 Failed, w=154\",\"Add (1,6)=92 Failed, w=154\",\"Add (2,6)=92 Failed, w=154\",\"Add (6,7)=95 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\":[[0,1,70],[0,3,62],[0,4,74],[0,5,49],[0,6,42],[0,7,46],[1,2,24],[1,3,33],[1,4,2],[1,5,17],[1,6,92],[1,7,61],[2,3,53],[2,4,60],[2,5,70],[2,6,92],[2,7,83],[3,4,80],[3,5,31],[3,6,35],[3,7,13],[4,6,83],[4,7,21],[5,6,68],[5,7,83],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,7)=13,(1,5)=17,(4,7)=21,(1,2)=24,(3,5)=31,(1,3)=33,(3,6)=35,(0,6)=42,(0,7)=46,(0,5)=49,(2,3)=53,(2,4)=60,(1,7)=61,(0,3)=62,(5,6)=68,(0,1)=70,(2,5)=70,(0,4)=74,(3,4)=80,(2,7)=83,(4,6)=83,(5,7)=83,(1,6)=92,(2,6)=92,(6,7)=95]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(7)=7, Add (3,7)=13 Succeeded, w=15\",\"Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=32\",\"Find(4)=1, Find(7)=3, Add (4,7)=21 Succeeded, w=53\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=77\",\"Find(3)=1, Find(5)=1, Add (3,5)=31 Failed, w=77\",\"Find(1)=1, Find(3)=1, Add (1,3)=33 Failed, w=77\",\"Find(3)=1, Find(6)=6, Add (3,6)=35 Succeeded, w=112\",\"Find(0)=0, Find(6)=1, Add (0,6)=42 Succeeded, w=154\",\"Find(0)=1, Find(7)=1, Add (0,7)=46 Failed, w=154\",\"Find(0)=1, Find(5)=1, Add (0,5)=49 Failed, w=154\",\"Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=154\",\"Find(2)=1, Find(4)=1, Add (2,4)=60 Failed, w=154\",\"Find(1)=1, Find(7)=1, Add (1,7)=61 Failed, w=154\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=154\",\"Find(5)=1, Find(6)=1, Add (5,6)=68 Failed, w=154\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=154\",\"Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=154\",\"Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=154\",\"Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=154\",\"Find(2)=1, Find(7)=1, Add (2,7)=83 Failed, w=154\",\"Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=154\",\"Find(5)=1, Find(7)=1, Add (5,7)=83 Failed, w=154\",\"Find(1)=1, Find(6)=1, Add (1,6)=92 Failed, w=154\",\"Find(2)=1, Find(6)=1, Add (2,6)=92 Failed, w=154\",\"Find(6)=1, Find(7)=1, Add (6,7)=95 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\":[[0,1,70],[0,3,62],[0,4,74],[0,5,49],[0,6,42],[0,7,46],[1,2,24],[1,3,33],[1,4,2],[1,5,17],[1,6,92],[1,7,61],[2,3,53],[2,4,60],[2,5,70],[2,6,92],[2,7,83],[3,4,80],[3,5,31],[3,6,35],[3,7,13],[4,6,83],[4,7,21],[5,6,68],[5,7,83],[6,7,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=2,(3,7)=13,(1,5)=17,(4,7)=21,(1,2)=24,(3,5)=31,(1,3)=33,(3,6)=35,(0,6)=42,(0,7)=46,(0,5)=49,(2,3)=53,(2,4)=60,(1,7)=61,(0,3)=62,(5,6)=68,(0,1)=70,(2,5)=70,(0,4)=74,(3,4)=80,(2,7)=83,(4,6)=83,(5,7)=83,(1,6)=92,(2,6)=92,(6,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=2 Succeeded, w=2\",\"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)=13 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 6, 7: 3}, Find(1)=1, Find(5)=5, Add (1,5)=17 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(4)=1, Find(7)=3, Add (4,7)=21 Succeeded, w=53\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(3)=1, Find(5)=1, Add (3,5)=31 Failed, w=77\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 6, 7: 3}, Find(1)=1, Find(3)=1, Add (1,3)=33 Failed, w=77\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(3)=1, Find(6)=6, Add (3,6)=35 Succeeded, w=112\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 3}, Find(0)=0, Find(6)=1, Add (0,6)=42 Succeeded, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=46 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=49 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=53 Failed, w=154\",\"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)=60 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=61 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=68 Failed, w=154\",\"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)=70 Failed, w=154\",\"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)=70 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=74 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=80 Failed, w=154\",\"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)=83 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=83 Failed, w=154\",\"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)=83 Failed, w=154\",\"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)=92 Failed, w=154\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=92 Failed, w=154\",\"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)=95 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,95],[0,5,94],[0,6,9],[1,2,57],[1,3,18],[1,4,36],[1,6,5],[2,3,87],[2,4,10],[2,5,92],[2,6,9],[3,4,98],[3,6,16],[4,5,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,5,94],[0,6,9],[1,2,57],[1,3,18],[1,4,36],[1,6,5],[2,3,87],[2,4,10],[2,5,92],[2,6,9],[3,4,98],[3,6,16],[4,5,53]]}",
"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\":[[0,1,95],[0,5,94],[0,6,9],[1,2,57],[1,3,18],[1,4,36],[1,6,5],[2,3,87],[2,4,10],[2,5,92],[2,6,9],[3,4,98],[3,6,16],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (2,4)\",\"Add (3,6)\",\"Add (4,5)\"],\"Answer\":102}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,95],[0,5,94],[0,6,9],[1,2,57],[1,3,18],[1,4,36],[1,6,5],[2,3,87],[2,4,10],[2,5,92],[2,6,9],[3,4,98],[3,6,16],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=5, w=5\",\"Add (0,6)=9, w=14\",\"Add (2,6)=9, w=23\",\"Add (2,4)=10, w=33\",\"Add (3,6)=16, w=49\",\"Add (4,5)=53, 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\":[[0,1,95],[0,5,94],[0,6,9],[1,2,57],[1,3,18],[1,4,36],[1,6,5],[2,3,87],[2,4,10],[2,5,92],[2,6,9],[3,4,98],[3,6,16],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=5 Succeeded, w=5\",\"Add (0,6)=9 Succeeded, w=14\",\"Add (2,6)=9 Succeeded, w=23\",\"Add (2,4)=10 Succeeded, w=33\",\"Add (3,6)=16 Succeeded, w=49\",\"Add (1,3)=18 Failed, w=49\",\"Add (1,4)=36 Failed, w=49\",\"Add (4,5)=53 Succeeded, w=102\",\"Add (1,2)=57 Failed, w=102\",\"Add (2,3)=87 Failed, w=102\",\"Add (2,5)=92 Failed, w=102\",\"Add (0,5)=94 Failed, w=102\",\"Add (0,1)=95 Failed, w=102\",\"Add (3,4)=98 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\":[[0,1,95],[0,5,94],[0,6,9],[1,2,57],[1,3,18],[1,4,36],[1,6,5],[2,3,87],[2,4,10],[2,5,92],[2,6,9],[3,4,98],[3,6,16],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=5,(0,6)=9,(2,6)=9,(2,4)=10,(3,6)=16,(1,3)=18,(1,4)=36,(4,5)=53,(1,2)=57,(2,3)=87,(2,5)=92,(0,5)=94,(0,1)=95,(3,4)=98]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=5\",\"Find(0)=0, Find(6)=1, Add (0,6)=9 Succeeded, w=14\",\"Find(2)=2, Find(6)=1, Add (2,6)=9 Succeeded, w=23\",\"Find(2)=1, Find(4)=4, Add (2,4)=10 Succeeded, w=33\",\"Find(3)=3, Find(6)=1, Add (3,6)=16 Succeeded, w=49\",\"Find(1)=1, Find(3)=1, Add (1,3)=18 Failed, w=49\",\"Find(1)=1, Find(4)=1, Add (1,4)=36 Failed, w=49\",\"Find(4)=1, Find(5)=5, Add (4,5)=53 Succeeded, w=102\",\"Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=102\",\"Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=102\",\"Find(2)=1, Find(5)=1, Add (2,5)=92 Failed, w=102\",\"Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=102\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=102\",\"Find(3)=1, Find(4)=1, Add (3,4)=98 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\":[[0,1,95],[0,5,94],[0,6,9],[1,2,57],[1,3,18],[1,4,36],[1,6,5],[2,3,87],[2,4,10],[2,5,92],[2,6,9],[3,4,98],[3,6,16],[4,5,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=5,(0,6)=9,(2,6)=9,(2,4)=10,(3,6)=16,(1,3)=18,(1,4)=36,(4,5)=53,(1,2)=57,(2,3)=87,(2,5)=92,(0,5)=94,(0,1)=95,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=5 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1}, Find(0)=0, Find(6)=1, Add (0,6)=9 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=9 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(4)=4, Add (2,4)=10 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(3)=3, Find(6)=1, Add (3,6)=16 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=18 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=36 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=5, Add (4,5)=53 Succeeded, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=57 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=87 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=92 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=94 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=102\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=102\"],\"Answer\":102}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,76],[0,3,48],[0,4,7],[0,5,12],[1,2,50],[1,3,43],[1,4,95],[1,5,74],[2,3,42],[2,4,41],[2,5,68],[3,4,69],[3,5,35],[4,5,44]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,3,48],[0,4,7],[0,5,12],[1,2,50],[1,3,43],[1,4,95],[1,5,74],[2,3,42],[2,4,41],[2,5,68],[3,4,69],[3,5,35],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,3,48],[0,4,7],[0,5,12],[1,2,50],[1,3,43],[1,4,95],[1,5,74],[2,3,42],[2,4,41],[2,5,68],[3,4,69],[3,5,35],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,5)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,3,48],[0,4,7],[0,5,12],[1,2,50],[1,3,43],[1,4,95],[1,5,74],[2,3,42],[2,4,41],[2,5,68],[3,4,69],[3,5,35],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (0,5)=12, w=19\",\"Add (3,5)=35, w=54\",\"Add (2,4)=41, w=95\",\"Add (1,3)=43, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,3,48],[0,4,7],[0,5,12],[1,2,50],[1,3,43],[1,4,95],[1,5,74],[2,3,42],[2,4,41],[2,5,68],[3,4,69],[3,5,35],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (0,5)=12 Succeeded, w=19\",\"Add (3,5)=35 Succeeded, w=54\",\"Add (2,4)=41 Succeeded, w=95\",\"Add (2,3)=42 Failed, w=95\",\"Add (1,3)=43 Succeeded, w=138\",\"Add (4,5)=44 Failed, w=138\",\"Add (0,3)=48 Failed, w=138\",\"Add (1,2)=50 Failed, w=138\",\"Add (2,5)=68 Failed, w=138\",\"Add (3,4)=69 Failed, w=138\",\"Add (1,5)=74 Failed, w=138\",\"Add (0,2)=76 Failed, w=138\",\"Add (1,4)=95 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,3,48],[0,4,7],[0,5,12],[1,2,50],[1,3,43],[1,4,95],[1,5,74],[2,3,42],[2,4,41],[2,5,68],[3,4,69],[3,5,35],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(0,5)=12,(3,5)=35,(2,4)=41,(2,3)=42,(1,3)=43,(4,5)=44,(0,3)=48,(1,2)=50,(2,5)=68,(3,4)=69,(1,5)=74,(0,2)=76,(1,4)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=19\",\"Find(3)=3, Find(5)=0, Add (3,5)=35 Succeeded, w=54\",\"Find(2)=2, Find(4)=0, Add (2,4)=41 Succeeded, w=95\",\"Find(2)=0, Find(3)=0, Add (2,3)=42 Failed, w=95\",\"Find(1)=1, Find(3)=0, Add (1,3)=43 Succeeded, w=138\",\"Find(4)=0, Find(5)=0, Add (4,5)=44 Failed, w=138\",\"Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=138\",\"Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=138\",\"Find(2)=0, Find(5)=0, Add (2,5)=68 Failed, w=138\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=138\",\"Find(1)=0, Find(5)=0, Add (1,5)=74 Failed, w=138\",\"Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=138\",\"Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,76],[0,3,48],[0,4,7],[0,5,12],[1,2,50],[1,3,43],[1,4,95],[1,5,74],[2,3,42],[2,4,41],[2,5,68],[3,4,69],[3,5,35],[4,5,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(0,5)=12,(3,5)=35,(2,4)=41,(2,3)=42,(1,3)=43,(4,5)=44,(0,3)=48,(1,2)=50,(2,5)=68,(3,4)=69,(1,5)=74,(0,2)=76,(1,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=35 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=41 Succeeded, w=95\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=42 Failed, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(3)=0, Add (1,3)=43 Succeeded, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=44 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=48 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=50 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=68 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=74 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=76 Failed, w=138\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=95 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,66],[0,2,34],[0,3,97],[0,4,18],[0,5,57],[0,6,10],[1,3,71],[1,4,11],[1,5,12],[1,6,80],[2,3,96],[2,4,27],[2,5,46],[2,6,7],[3,4,41],[3,5,49],[3,6,38],[4,5,55],[4,6,53],[5,6,25]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,34],[0,3,97],[0,4,18],[0,5,57],[0,6,10],[1,3,71],[1,4,11],[1,5,12],[1,6,80],[2,3,96],[2,4,27],[2,5,46],[2,6,7],[3,4,41],[3,5,49],[3,6,38],[4,5,55],[4,6,53],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,34],[0,3,97],[0,4,18],[0,5,57],[0,6,10],[1,3,71],[1,4,11],[1,5,12],[1,6,80],[2,3,96],[2,4,27],[2,5,46],[2,6,7],[3,4,41],[3,5,49],[3,6,38],[4,5,55],[4,6,53],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,6)\",\"Add (1,4)\",\"Add (1,5)\",\"Add (0,4)\",\"Add (3,6)\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,34],[0,3,97],[0,4,18],[0,5,57],[0,6,10],[1,3,71],[1,4,11],[1,5,12],[1,6,80],[2,3,96],[2,4,27],[2,5,46],[2,6,7],[3,4,41],[3,5,49],[3,6,38],[4,5,55],[4,6,53],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=7, w=7\",\"Add (0,6)=10, w=17\",\"Add (1,4)=11, w=28\",\"Add (1,5)=12, w=40\",\"Add (0,4)=18, w=58\",\"Add (3,6)=38, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,34],[0,3,97],[0,4,18],[0,5,57],[0,6,10],[1,3,71],[1,4,11],[1,5,12],[1,6,80],[2,3,96],[2,4,27],[2,5,46],[2,6,7],[3,4,41],[3,5,49],[3,6,38],[4,5,55],[4,6,53],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=7 Succeeded, w=7\",\"Add (0,6)=10 Succeeded, w=17\",\"Add (1,4)=11 Succeeded, w=28\",\"Add (1,5)=12 Succeeded, w=40\",\"Add (0,4)=18 Succeeded, w=58\",\"Add (5,6)=25 Failed, w=58\",\"Add (2,4)=27 Failed, w=58\",\"Add (0,2)=34 Failed, w=58\",\"Add (3,6)=38 Succeeded, w=96\",\"Add (3,4)=41 Failed, w=96\",\"Add (2,5)=46 Failed, w=96\",\"Add (3,5)=49 Failed, w=96\",\"Add (4,6)=53 Failed, w=96\",\"Add (4,5)=55 Failed, w=96\",\"Add (0,5)=57 Failed, w=96\",\"Add (0,1)=66 Failed, w=96\",\"Add (1,3)=71 Failed, w=96\",\"Add (1,6)=80 Failed, w=96\",\"Add (2,3)=96 Failed, w=96\",\"Add (0,3)=97 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,34],[0,3,97],[0,4,18],[0,5,57],[0,6,10],[1,3,71],[1,4,11],[1,5,12],[1,6,80],[2,3,96],[2,4,27],[2,5,46],[2,6,7],[3,4,41],[3,5,49],[3,6,38],[4,5,55],[4,6,53],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=7,(0,6)=10,(1,4)=11,(1,5)=12,(0,4)=18,(5,6)=25,(2,4)=27,(0,2)=34,(3,6)=38,(3,4)=41,(2,5)=46,(3,5)=49,(4,6)=53,(4,5)=55,(0,5)=57,(0,1)=66,(1,3)=71,(1,6)=80,(2,3)=96,(0,3)=97]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=7 Succeeded, w=7\",\"Find(0)=0, Find(6)=2, Add (0,6)=10 Succeeded, w=17\",\"Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=28\",\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=40\",\"Find(0)=2, Find(4)=1, Add (0,4)=18 Succeeded, w=58\",\"Find(5)=2, Find(6)=2, Add (5,6)=25 Failed, w=58\",\"Find(2)=2, Find(4)=2, Add (2,4)=27 Failed, w=58\",\"Find(0)=2, Find(2)=2, Add (0,2)=34 Failed, w=58\",\"Find(3)=3, Find(6)=2, Add (3,6)=38 Succeeded, w=96\",\"Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=96\",\"Find(2)=2, Find(5)=2, Add (2,5)=46 Failed, w=96\",\"Find(3)=2, Find(5)=2, Add (3,5)=49 Failed, w=96\",\"Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=96\",\"Find(4)=2, Find(5)=2, Add (4,5)=55 Failed, w=96\",\"Find(0)=2, Find(5)=2, Add (0,5)=57 Failed, w=96\",\"Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=96\",\"Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=96\",\"Find(1)=2, Find(6)=2, Add (1,6)=80 Failed, w=96\",\"Find(2)=2, Find(3)=2, Add (2,3)=96 Failed, w=96\",\"Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,66],[0,2,34],[0,3,97],[0,4,18],[0,5,57],[0,6,10],[1,3,71],[1,4,11],[1,5,12],[1,6,80],[2,3,96],[2,4,27],[2,5,46],[2,6,7],[3,4,41],[3,5,49],[3,6,38],[4,5,55],[4,6,53],[5,6,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=7,(0,6)=10,(1,4)=11,(1,5)=12,(0,4)=18,(5,6)=25,(2,4)=27,(0,2)=34,(3,6)=38,(3,4)=41,(2,5)=46,(3,5)=49,(4,6)=53,(4,5)=55,(0,5)=57,(0,1)=66,(1,3)=71,(1,6)=80,(2,3)=96,(0,3)=97]\",\"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)=7 Succeeded, w=7\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=10 Succeeded, w=17\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 2}, Find(1)=1, Find(4)=4, Add (1,4)=11 Succeeded, w=28\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1, 6: 2}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 1, 6: 2}, Find(0)=2, Find(4)=1, Add (0,4)=18 Succeeded, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 1, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=25 Failed, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=27 Failed, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=34 Failed, w=58\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=3, Find(6)=2, Add (3,6)=38 Succeeded, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=46 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=49 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=53 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=55 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=57 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=66 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=71 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=80 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=96 Failed, w=96\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,92],[0,2,43],[0,3,97],[1,3,41],[2,3,96],[2,4,58]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,43],[0,3,97],[1,3,41],[2,3,96],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,43],[0,3,97],[1,3,41],[2,3,96],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,43],[0,3,97],[1,3,41],[2,3,96],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=41, w=41\",\"Add (0,2)=43, w=84\",\"Add (2,4)=58, w=142\",\"Add (0,1)=92, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,43],[0,3,97],[1,3,41],[2,3,96],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=41 Succeeded, w=41\",\"Add (0,2)=43 Succeeded, w=84\",\"Add (2,4)=58 Succeeded, w=142\",\"Add (0,1)=92 Succeeded, w=234\",\"Add (2,3)=96 Failed, w=234\",\"Add (0,3)=97 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,43],[0,3,97],[1,3,41],[2,3,96],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=41,(0,2)=43,(2,4)=58,(0,1)=92,(2,3)=96,(0,3)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=41\",\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=84\",\"Find(2)=0, Find(4)=4, Add (2,4)=58 Succeeded, w=142\",\"Find(0)=0, Find(1)=1, Add (0,1)=92 Succeeded, w=234\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=234\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,43],[0,3,97],[1,3,41],[2,3,96],[2,4,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=41,(0,2)=43,(2,4)=58,(0,1)=92,(2,3)=96,(0,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=41 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=84\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=58 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=92 Succeeded, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=234\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=234\"],\"Answer\":234}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,69],[0,5,79],[0,6,8],[1,3,10],[1,4,30],[1,5,5],[2,3,61],[2,4,60],[2,5,86],[2,6,6],[3,4,27],[3,5,88],[4,5,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,69],[0,5,79],[0,6,8],[1,3,10],[1,4,30],[1,5,5],[2,3,61],[2,4,60],[2,5,86],[2,6,6],[3,4,27],[3,5,88],[4,5,69]]}",
"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],\"edges\":[[0,4,69],[0,5,79],[0,6,8],[1,3,10],[1,4,30],[1,5,5],[2,3,61],[2,4,60],[2,5,86],[2,6,6],[3,4,27],[3,5,88],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,6)\",\"Add (0,6)\",\"Add (1,3)\",\"Add (3,4)\",\"Add (2,4)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,69],[0,5,79],[0,6,8],[1,3,10],[1,4,30],[1,5,5],[2,3,61],[2,4,60],[2,5,86],[2,6,6],[3,4,27],[3,5,88],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5, w=5\",\"Add (2,6)=6, w=11\",\"Add (0,6)=8, w=19\",\"Add (1,3)=10, w=29\",\"Add (3,4)=27, w=56\",\"Add (2,4)=60, 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],\"edges\":[[0,4,69],[0,5,79],[0,6,8],[1,3,10],[1,4,30],[1,5,5],[2,3,61],[2,4,60],[2,5,86],[2,6,6],[3,4,27],[3,5,88],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=5 Succeeded, w=5\",\"Add (2,6)=6 Succeeded, w=11\",\"Add (0,6)=8 Succeeded, w=19\",\"Add (1,3)=10 Succeeded, w=29\",\"Add (3,4)=27 Succeeded, w=56\",\"Add (1,4)=30 Failed, w=56\",\"Add (2,4)=60 Succeeded, w=116\",\"Add (2,3)=61 Failed, w=116\",\"Add (0,4)=69 Failed, w=116\",\"Add (4,5)=69 Failed, w=116\",\"Add (0,5)=79 Failed, w=116\",\"Add (2,5)=86 Failed, w=116\",\"Add (3,5)=88 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],\"edges\":[[0,4,69],[0,5,79],[0,6,8],[1,3,10],[1,4,30],[1,5,5],[2,3,61],[2,4,60],[2,5,86],[2,6,6],[3,4,27],[3,5,88],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(2,6)=6,(0,6)=8,(1,3)=10,(3,4)=27,(1,4)=30,(2,4)=60,(2,3)=61,(0,4)=69,(4,5)=69,(0,5)=79,(2,5)=86,(3,5)=88]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=11\",\"Find(0)=0, Find(6)=2, Add (0,6)=8 Succeeded, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=29\",\"Find(3)=1, Find(4)=4, Add (3,4)=27 Succeeded, w=56\",\"Find(1)=1, Find(4)=1, Add (1,4)=30 Failed, w=56\",\"Find(2)=2, Find(4)=1, Add (2,4)=60 Succeeded, w=116\",\"Find(2)=2, Find(3)=2, Add (2,3)=61 Failed, w=116\",\"Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=116\",\"Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=116\",\"Find(0)=2, Find(5)=2, Add (0,5)=79 Failed, w=116\",\"Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=116\",\"Find(3)=2, Find(5)=2, Add (3,5)=88 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],\"edges\":[[0,4,69],[0,5,79],[0,6,8],[1,3,10],[1,4,30],[1,5,5],[2,3,61],[2,4,60],[2,5,86],[2,6,6],[3,4,27],[3,5,88],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=5,(2,6)=6,(0,6)=8,(1,3)=10,(3,4)=27,(1,4)=30,(2,4)=60,(2,3)=61,(0,4)=69,(4,5)=69,(0,5)=79,(2,5)=86,(3,5)=88]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=11\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=8 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 2}, Find(1)=1, Find(3)=3, Add (1,3)=10 Succeeded, w=29\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2}, Find(3)=1, Find(4)=4, Add (3,4)=27 Succeeded, w=56\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2}, Find(1)=1, Find(4)=1, Add (1,4)=30 Failed, w=56\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 1, 5: 1, 6: 2}, Find(2)=2, Find(4)=1, Add (2,4)=60 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 1, 6: 2}, Find(2)=2, Find(3)=2, Add (2,3)=61 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=79 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=86 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=88 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,88],[0,2,13],[0,3,63],[1,3,24],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,13],[0,3,63],[1,3,24],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,13],[0,3,63],[1,3,24],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,13],[0,3,63],[1,3,24],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (1,3)=24, w=37\",\"Add (2,3)=29, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,13],[0,3,63],[1,3,24],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (1,3)=24 Succeeded, w=37\",\"Add (2,3)=29 Succeeded, w=66\",\"Add (0,3)=63 Failed, w=66\",\"Add (0,1)=88 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,13],[0,3,63],[1,3,24],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=24,(2,3)=29,(0,3)=63,(0,1)=88]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=37\",\"Find(2)=0, Find(3)=1, Add (2,3)=29 Succeeded, w=66\",\"Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=66\",\"Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,88],[0,2,13],[0,3,63],[1,3,24],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=24,(2,3)=29,(0,3)=63,(0,1)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(2)=0, Find(3)=1, Add (2,3)=29 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=63 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=88 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,14],[0,2,5],[0,3,76],[0,4,80],[0,5,67],[0,6,20],[0,7,83],[1,2,51],[1,3,28],[1,4,14],[1,5,40],[1,6,11],[1,7,71],[2,3,85],[2,4,100],[2,5,6],[2,7,88],[3,4,68],[3,5,36],[3,7,50],[4,5,23],[4,6,97],[4,7,14],[5,6,90],[5,7,46],[6,7,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,76],[0,4,80],[0,5,67],[0,6,20],[0,7,83],[1,2,51],[1,3,28],[1,4,14],[1,5,40],[1,6,11],[1,7,71],[2,3,85],[2,4,100],[2,5,6],[2,7,88],[3,4,68],[3,5,36],[3,7,50],[4,5,23],[4,6,97],[4,7,14],[5,6,90],[5,7,46],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,76],[0,4,80],[0,5,67],[0,6,20],[0,7,83],[1,2,51],[1,3,28],[1,4,14],[1,5,40],[1,6,11],[1,7,71],[2,3,85],[2,4,100],[2,5,6],[2,7,88],[3,4,68],[3,5,36],[3,7,50],[4,5,23],[4,6,97],[4,7,14],[5,6,90],[5,7,46],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (4,7)\",\"Add (1,3)\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,76],[0,4,80],[0,5,67],[0,6,20],[0,7,83],[1,2,51],[1,3,28],[1,4,14],[1,5,40],[1,6,11],[1,7,71],[2,3,85],[2,4,100],[2,5,6],[2,7,88],[3,4,68],[3,5,36],[3,7,50],[4,5,23],[4,6,97],[4,7,14],[5,6,90],[5,7,46],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (2,5)=6, w=11\",\"Add (1,6)=11, w=22\",\"Add (0,1)=14, w=36\",\"Add (1,4)=14, w=50\",\"Add (4,7)=14, w=64\",\"Add (1,3)=28, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,76],[0,4,80],[0,5,67],[0,6,20],[0,7,83],[1,2,51],[1,3,28],[1,4,14],[1,5,40],[1,6,11],[1,7,71],[2,3,85],[2,4,100],[2,5,6],[2,7,88],[3,4,68],[3,5,36],[3,7,50],[4,5,23],[4,6,97],[4,7,14],[5,6,90],[5,7,46],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (2,5)=6 Succeeded, w=11\",\"Add (1,6)=11 Succeeded, w=22\",\"Add (0,1)=14 Succeeded, w=36\",\"Add (1,4)=14 Succeeded, w=50\",\"Add (4,7)=14 Succeeded, w=64\",\"Add (0,6)=20 Failed, w=64\",\"Add (4,5)=23 Failed, w=64\",\"Add (1,3)=28 Succeeded, w=92\",\"Add (3,5)=36 Failed, w=92\",\"Add (1,5)=40 Failed, w=92\",\"Add (5,7)=46 Failed, w=92\",\"Add (3,7)=50 Failed, w=92\",\"Add (1,2)=51 Failed, w=92\",\"Add (6,7)=57 Failed, w=92\",\"Add (0,5)=67 Failed, w=92\",\"Add (3,4)=68 Failed, w=92\",\"Add (1,7)=71 Failed, w=92\",\"Add (0,3)=76 Failed, w=92\",\"Add (0,4)=80 Failed, w=92\",\"Add (0,7)=83 Failed, w=92\",\"Add (2,3)=85 Failed, w=92\",\"Add (2,7)=88 Failed, w=92\",\"Add (5,6)=90 Failed, w=92\",\"Add (4,6)=97 Failed, w=92\",\"Add (2,4)=100 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,76],[0,4,80],[0,5,67],[0,6,20],[0,7,83],[1,2,51],[1,3,28],[1,4,14],[1,5,40],[1,6,11],[1,7,71],[2,3,85],[2,4,100],[2,5,6],[2,7,88],[3,4,68],[3,5,36],[3,7,50],[4,5,23],[4,6,97],[4,7,14],[5,6,90],[5,7,46],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(2,5)=6,(1,6)=11,(0,1)=14,(1,4)=14,(4,7)=14,(0,6)=20,(4,5)=23,(1,3)=28,(3,5)=36,(1,5)=40,(5,7)=46,(3,7)=50,(1,2)=51,(6,7)=57,(0,5)=67,(3,4)=68,(1,7)=71,(0,3)=76,(0,4)=80,(0,7)=83,(2,3)=85,(2,7)=88,(5,6)=90,(4,6)=97,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(2)=0, Find(5)=5, Add (2,5)=6 Succeeded, w=11\",\"Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=36\",\"Find(1)=0, Find(4)=4, Add (1,4)=14 Succeeded, w=50\",\"Find(4)=0, Find(7)=7, Add (4,7)=14 Succeeded, w=64\",\"Find(0)=0, Find(6)=0, Add (0,6)=20 Failed, w=64\",\"Find(4)=0, Find(5)=0, Add (4,5)=23 Failed, w=64\",\"Find(1)=0, Find(3)=3, Add (1,3)=28 Succeeded, w=92\",\"Find(3)=0, Find(5)=0, Add (3,5)=36 Failed, w=92\",\"Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=92\",\"Find(5)=0, Find(7)=0, Add (5,7)=46 Failed, w=92\",\"Find(3)=0, Find(7)=0, Add (3,7)=50 Failed, w=92\",\"Find(1)=0, Find(2)=0, Add (1,2)=51 Failed, w=92\",\"Find(6)=0, Find(7)=0, Add (6,7)=57 Failed, w=92\",\"Find(0)=0, Find(5)=0, Add (0,5)=67 Failed, w=92\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=92\",\"Find(1)=0, Find(7)=0, Add (1,7)=71 Failed, w=92\",\"Find(0)=0, Find(3)=0, Add (0,3)=76 Failed, w=92\",\"Find(0)=0, Find(4)=0, Add (0,4)=80 Failed, w=92\",\"Find(0)=0, Find(7)=0, Add (0,7)=83 Failed, w=92\",\"Find(2)=0, Find(3)=0, Add (2,3)=85 Failed, w=92\",\"Find(2)=0, Find(7)=0, Add (2,7)=88 Failed, w=92\",\"Find(5)=0, Find(6)=0, Add (5,6)=90 Failed, w=92\",\"Find(4)=0, Find(6)=0, Add (4,6)=97 Failed, w=92\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,5],[0,3,76],[0,4,80],[0,5,67],[0,6,20],[0,7,83],[1,2,51],[1,3,28],[1,4,14],[1,5,40],[1,6,11],[1,7,71],[2,3,85],[2,4,100],[2,5,6],[2,7,88],[3,4,68],[3,5,36],[3,7,50],[4,5,23],[4,6,97],[4,7,14],[5,6,90],[5,7,46],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(2,5)=6,(1,6)=11,(0,1)=14,(1,4)=14,(4,7)=14,(0,6)=20,(4,5)=23,(1,3)=28,(3,5)=36,(1,5)=40,(5,7)=46,(3,7)=50,(1,2)=51,(6,7)=57,(0,5)=67,(3,4)=68,(1,7)=71,(0,3)=76,(0,4)=80,(0,7)=83,(2,3)=85,(2,7)=88,(5,6)=90,(4,6)=97,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=14 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 1, 7: 7}, Find(1)=0, Find(4)=4, Add (1,4)=14 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 1, 7: 0}, Find(4)=0, Find(7)=7, Add (4,7)=14 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=20 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=23 Failed, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=3, Add (1,3)=28 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=36 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=92\",\"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)=46 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=50 Failed, w=92\",\"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)=51 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=57 Failed, w=92\",\"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)=67 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=92\",\"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)=71 Failed, w=92\",\"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)=76 Failed, w=92\",\"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)=80 Failed, w=92\",\"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)=83 Failed, w=92\",\"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=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=88 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=90 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=97 Failed, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=92\"],\"Answer\":92}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,39],[0,4,85],[1,2,3],[1,7,19],[2,3,17],[2,5,7],[2,6,55],[2,7,49],[3,4,67],[3,5,54],[3,6,94],[3,7,99],[4,5,97],[5,7,9],[6,7,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,4,85],[1,2,3],[1,7,19],[2,3,17],[2,5,7],[2,6,55],[2,7,49],[3,4,67],[3,5,54],[3,6,94],[3,7,99],[4,5,97],[5,7,9],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,4,85],[1,2,3],[1,7,19],[2,3,17],[2,5,7],[2,6,55],[2,7,49],[3,4,67],[3,5,54],[3,6,94],[3,7,99],[4,5,97],[5,7,9],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,5)\",\"Add (5,7)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (2,6)\",\"Add (3,4)\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,4,85],[1,2,3],[1,7,19],[2,3,17],[2,5,7],[2,6,55],[2,7,49],[3,4,67],[3,5,54],[3,6,94],[3,7,99],[4,5,97],[5,7,9],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (2,5)=7, w=10\",\"Add (5,7)=9, w=19\",\"Add (2,3)=17, w=36\",\"Add (0,1)=39, w=75\",\"Add (2,6)=55, w=130\",\"Add (3,4)=67, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,4,85],[1,2,3],[1,7,19],[2,3,17],[2,5,7],[2,6,55],[2,7,49],[3,4,67],[3,5,54],[3,6,94],[3,7,99],[4,5,97],[5,7,9],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (2,5)=7 Succeeded, w=10\",\"Add (5,7)=9 Succeeded, w=19\",\"Add (2,3)=17 Succeeded, w=36\",\"Add (1,7)=19 Failed, w=36\",\"Add (0,1)=39 Succeeded, w=75\",\"Add (2,7)=49 Failed, w=75\",\"Add (3,5)=54 Failed, w=75\",\"Add (2,6)=55 Succeeded, w=130\",\"Add (3,4)=67 Succeeded, w=197\",\"Add (0,4)=85 Failed, w=197\",\"Add (6,7)=87 Failed, w=197\",\"Add (3,6)=94 Failed, w=197\",\"Add (4,5)=97 Failed, w=197\",\"Add (3,7)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,4,85],[1,2,3],[1,7,19],[2,3,17],[2,5,7],[2,6,55],[2,7,49],[3,4,67],[3,5,54],[3,6,94],[3,7,99],[4,5,97],[5,7,9],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(2,5)=7,(5,7)=9,(2,3)=17,(1,7)=19,(0,1)=39,(2,7)=49,(3,5)=54,(2,6)=55,(3,4)=67,(0,4)=85,(6,7)=87,(3,6)=94,(4,5)=97,(3,7)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(2)=1, Find(5)=5, Add (2,5)=7 Succeeded, w=10\",\"Find(5)=1, Find(7)=7, Add (5,7)=9 Succeeded, w=19\",\"Find(2)=1, Find(3)=3, Add (2,3)=17 Succeeded, w=36\",\"Find(1)=1, Find(7)=1, Add (1,7)=19 Failed, w=36\",\"Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=75\",\"Find(2)=1, Find(7)=1, Add (2,7)=49 Failed, w=75\",\"Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=75\",\"Find(2)=1, Find(6)=6, Add (2,6)=55 Succeeded, w=130\",\"Find(3)=1, Find(4)=4, Add (3,4)=67 Succeeded, w=197\",\"Find(0)=1, Find(4)=1, Add (0,4)=85 Failed, w=197\",\"Find(6)=1, Find(7)=1, Add (6,7)=87 Failed, w=197\",\"Find(3)=1, Find(6)=1, Add (3,6)=94 Failed, w=197\",\"Find(4)=1, Find(5)=1, Add (4,5)=97 Failed, w=197\",\"Find(3)=1, Find(7)=1, Add (3,7)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,39],[0,4,85],[1,2,3],[1,7,19],[2,3,17],[2,5,7],[2,6,55],[2,7,49],[3,4,67],[3,5,54],[3,6,94],[3,7,99],[4,5,97],[5,7,9],[6,7,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(2,5)=7,(5,7)=9,(2,3)=17,(1,7)=19,(0,1)=39,(2,7)=49,(3,5)=54,(2,6)=55,(3,4)=67,(0,4)=85,(6,7)=87,(3,6)=94,(4,5)=97,(3,7)=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: 1, 6: 6, 7: 7}, Find(2)=1, Find(5)=5, Add (2,5)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6, 7: 1}, Find(5)=1, Find(7)=7, Add (5,7)=9 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(3)=3, Add (2,3)=17 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=19 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(0)=0, Find(1)=1, Add (0,1)=39 Succeeded, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=49 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=75\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=6, Add (2,6)=55 Succeeded, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=4, Add (3,4)=67 Succeeded, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=85 Failed, w=197\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=87 Failed, w=197\",\"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)=94 Failed, w=197\",\"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)=97 Failed, w=197\",\"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)=99 Failed, w=197\"],\"Answer\":197}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,94],[0,2,47],[0,3,66],[0,4,37],[1,2,76],[1,3,58],[1,4,29],[2,3,28]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,47],[0,3,66],[0,4,37],[1,2,76],[1,3,58],[1,4,29],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,47],[0,3,66],[0,4,37],[1,2,76],[1,3,58],[1,4,29],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,4)\",\"Add (0,4)\",\"Add (0,2)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,47],[0,3,66],[0,4,37],[1,2,76],[1,3,58],[1,4,29],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=28, w=28\",\"Add (1,4)=29, w=57\",\"Add (0,4)=37, w=94\",\"Add (0,2)=47, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,47],[0,3,66],[0,4,37],[1,2,76],[1,3,58],[1,4,29],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=28 Succeeded, w=28\",\"Add (1,4)=29 Succeeded, w=57\",\"Add (0,4)=37 Succeeded, w=94\",\"Add (0,2)=47 Succeeded, w=141\",\"Add (1,3)=58 Failed, w=141\",\"Add (0,3)=66 Failed, w=141\",\"Add (1,2)=76 Failed, w=141\",\"Add (0,1)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,47],[0,3,66],[0,4,37],[1,2,76],[1,3,58],[1,4,29],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=28,(1,4)=29,(0,4)=37,(0,2)=47,(1,3)=58,(0,3)=66,(1,2)=76,(0,1)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=28\",\"Find(1)=1, Find(4)=4, Add (1,4)=29 Succeeded, w=57\",\"Find(0)=0, Find(4)=1, Add (0,4)=37 Succeeded, w=94\",\"Find(0)=1, Find(2)=2, Add (0,2)=47 Succeeded, w=141\",\"Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=141\",\"Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=141\",\"Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=141\",\"Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,94],[0,2,47],[0,3,66],[0,4,37],[1,2,76],[1,3,58],[1,4,29],[2,3,28]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=28,(1,4)=29,(0,4)=37,(0,2)=47,(1,3)=58,(0,3)=66,(1,2)=76,(0,1)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=28 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=29 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=37 Succeeded, w=94\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=47 Succeeded, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=58 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=66 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=76 Failed, w=141\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=94 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,82],[0,2,98],[0,3,7],[0,4,84],[0,5,22],[0,7,48],[1,3,91],[1,4,64],[1,5,60],[1,6,40],[1,7,69],[2,3,3],[2,4,91],[2,5,70],[2,6,96],[3,4,68],[3,5,6],[3,7,90],[4,5,4],[4,6,75],[5,6,11],[5,7,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,98],[0,3,7],[0,4,84],[0,5,22],[0,7,48],[1,3,91],[1,4,64],[1,5,60],[1,6,40],[1,7,69],[2,3,3],[2,4,91],[2,5,70],[2,6,96],[3,4,68],[3,5,6],[3,7,90],[4,5,4],[4,6,75],[5,6,11],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,98],[0,3,7],[0,4,84],[0,5,22],[0,7,48],[1,3,91],[1,4,64],[1,5,60],[1,6,40],[1,7,69],[2,3,3],[2,4,91],[2,5,70],[2,6,96],[3,4,68],[3,5,6],[3,7,90],[4,5,4],[4,6,75],[5,6,11],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (0,3)\",\"Add (5,6)\",\"Add (1,6)\",\"Add (0,7)\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,98],[0,3,7],[0,4,84],[0,5,22],[0,7,48],[1,3,91],[1,4,64],[1,5,60],[1,6,40],[1,7,69],[2,3,3],[2,4,91],[2,5,70],[2,6,96],[3,4,68],[3,5,6],[3,7,90],[4,5,4],[4,6,75],[5,6,11],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (4,5)=4, w=7\",\"Add (3,5)=6, w=13\",\"Add (0,3)=7, w=20\",\"Add (5,6)=11, w=31\",\"Add (1,6)=40, w=71\",\"Add (0,7)=48, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,98],[0,3,7],[0,4,84],[0,5,22],[0,7,48],[1,3,91],[1,4,64],[1,5,60],[1,6,40],[1,7,69],[2,3,3],[2,4,91],[2,5,70],[2,6,96],[3,4,68],[3,5,6],[3,7,90],[4,5,4],[4,6,75],[5,6,11],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (4,5)=4 Succeeded, w=7\",\"Add (3,5)=6 Succeeded, w=13\",\"Add (0,3)=7 Succeeded, w=20\",\"Add (5,6)=11 Succeeded, w=31\",\"Add (0,5)=22 Failed, w=31\",\"Add (1,6)=40 Succeeded, w=71\",\"Add (0,7)=48 Succeeded, w=119\",\"Add (1,5)=60 Failed, w=119\",\"Add (1,4)=64 Failed, w=119\",\"Add (3,4)=68 Failed, w=119\",\"Add (1,7)=69 Failed, w=119\",\"Add (2,5)=70 Failed, w=119\",\"Add (4,6)=75 Failed, w=119\",\"Add (5,7)=80 Failed, w=119\",\"Add (0,1)=82 Failed, w=119\",\"Add (0,4)=84 Failed, w=119\",\"Add (3,7)=90 Failed, w=119\",\"Add (1,3)=91 Failed, w=119\",\"Add (2,4)=91 Failed, w=119\",\"Add (2,6)=96 Failed, w=119\",\"Add (0,2)=98 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,98],[0,3,7],[0,4,84],[0,5,22],[0,7,48],[1,3,91],[1,4,64],[1,5,60],[1,6,40],[1,7,69],[2,3,3],[2,4,91],[2,5,70],[2,6,96],[3,4,68],[3,5,6],[3,7,90],[4,5,4],[4,6,75],[5,6,11],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(4,5)=4,(3,5)=6,(0,3)=7,(5,6)=11,(0,5)=22,(1,6)=40,(0,7)=48,(1,5)=60,(1,4)=64,(3,4)=68,(1,7)=69,(2,5)=70,(4,6)=75,(5,7)=80,(0,1)=82,(0,4)=84,(3,7)=90,(1,3)=91,(2,4)=91,(2,6)=96,(0,2)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Find(3)=2, Find(5)=4, Add (3,5)=6 Succeeded, w=13\",\"Find(0)=0, Find(3)=2, Add (0,3)=7 Succeeded, w=20\",\"Find(5)=2, Find(6)=6, Add (5,6)=11 Succeeded, w=31\",\"Find(0)=2, Find(5)=2, Add (0,5)=22 Failed, w=31\",\"Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=71\",\"Find(0)=2, Find(7)=7, Add (0,7)=48 Succeeded, w=119\",\"Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=119\",\"Find(1)=2, Find(4)=2, Add (1,4)=64 Failed, w=119\",\"Find(3)=2, Find(4)=2, Add (3,4)=68 Failed, w=119\",\"Find(1)=2, Find(7)=2, Add (1,7)=69 Failed, w=119\",\"Find(2)=2, Find(5)=2, Add (2,5)=70 Failed, w=119\",\"Find(4)=2, Find(6)=2, Add (4,6)=75 Failed, w=119\",\"Find(5)=2, Find(7)=2, Add (5,7)=80 Failed, w=119\",\"Find(0)=2, Find(1)=2, Add (0,1)=82 Failed, w=119\",\"Find(0)=2, Find(4)=2, Add (0,4)=84 Failed, w=119\",\"Find(3)=2, Find(7)=2, Add (3,7)=90 Failed, w=119\",\"Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=119\",\"Find(2)=2, Find(4)=2, Add (2,4)=91 Failed, w=119\",\"Find(2)=2, Find(6)=2, Add (2,6)=96 Failed, w=119\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,82],[0,2,98],[0,3,7],[0,4,84],[0,5,22],[0,7,48],[1,3,91],[1,4,64],[1,5,60],[1,6,40],[1,7,69],[2,3,3],[2,4,91],[2,5,70],[2,6,96],[3,4,68],[3,5,6],[3,7,90],[4,5,4],[4,6,75],[5,6,11],[5,7,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(4,5)=4,(3,5)=6,(0,3)=7,(5,6)=11,(0,5)=22,(1,6)=40,(0,7)=48,(1,5)=60,(1,4)=64,(3,4)=68,(1,7)=69,(2,5)=70,(4,6)=75,(5,7)=80,(0,1)=82,(0,4)=84,(3,7)=90,(1,3)=91,(2,4)=91,(2,6)=96,(0,2)=98]\",\"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)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 6, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 7}, Find(3)=2, Find(5)=4, Add (3,5)=6 Succeeded, w=13\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 4, 6: 6, 7: 7}, Find(0)=0, Find(3)=2, Add (0,3)=7 Succeeded, w=20\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=6, Add (5,6)=11 Succeeded, w=31\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(5)=2, Add (0,5)=22 Failed, w=31\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(1)=1, Find(6)=2, Add (1,6)=40 Succeeded, w=71\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=7, Add (0,7)=48 Succeeded, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(5)=2, Add (1,5)=60 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=64 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=68 Failed, w=119\",\"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)=69 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=70 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=75 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=80 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=82 Failed, w=119\",\"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)=84 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=90 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=91 Failed, w=119\",\"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)=91 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=96 Failed, w=119\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,54],[0,2,53],[0,3,77],[0,4,60],[0,5,78],[1,3,65],[1,4,40],[1,5,61],[2,4,23],[3,4,89],[3,5,70]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,53],[0,3,77],[0,4,60],[0,5,78],[1,3,65],[1,4,40],[1,5,61],[2,4,23],[3,4,89],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,53],[0,3,77],[0,4,60],[0,5,78],[1,3,65],[1,4,40],[1,5,61],[2,4,23],[3,4,89],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (1,3)\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,53],[0,3,77],[0,4,60],[0,5,78],[1,3,65],[1,4,40],[1,5,61],[2,4,23],[3,4,89],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=23, w=23\",\"Add (1,4)=40, w=63\",\"Add (0,2)=53, w=116\",\"Add (1,5)=61, w=177\",\"Add (1,3)=65, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,53],[0,3,77],[0,4,60],[0,5,78],[1,3,65],[1,4,40],[1,5,61],[2,4,23],[3,4,89],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=23 Succeeded, w=23\",\"Add (1,4)=40 Succeeded, w=63\",\"Add (0,2)=53 Succeeded, w=116\",\"Add (0,1)=54 Failed, w=116\",\"Add (0,4)=60 Failed, w=116\",\"Add (1,5)=61 Succeeded, w=177\",\"Add (1,3)=65 Succeeded, w=242\",\"Add (3,5)=70 Failed, w=242\",\"Add (0,3)=77 Failed, w=242\",\"Add (0,5)=78 Failed, w=242\",\"Add (3,4)=89 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,53],[0,3,77],[0,4,60],[0,5,78],[1,3,65],[1,4,40],[1,5,61],[2,4,23],[3,4,89],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=23,(1,4)=40,(0,2)=53,(0,1)=54,(0,4)=60,(1,5)=61,(1,3)=65,(3,5)=70,(0,3)=77,(0,5)=78,(3,4)=89]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=23\",\"Find(1)=1, Find(4)=2, Add (1,4)=40 Succeeded, w=63\",\"Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=116\",\"Find(0)=2, Find(1)=2, Add (0,1)=54 Failed, w=116\",\"Find(0)=2, Find(4)=2, Add (0,4)=60 Failed, w=116\",\"Find(1)=2, Find(5)=5, Add (1,5)=61 Succeeded, w=177\",\"Find(1)=2, Find(3)=3, Add (1,3)=65 Succeeded, w=242\",\"Find(3)=2, Find(5)=2, Add (3,5)=70 Failed, w=242\",\"Find(0)=2, Find(3)=2, Add (0,3)=77 Failed, w=242\",\"Find(0)=2, Find(5)=2, Add (0,5)=78 Failed, w=242\",\"Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,53],[0,3,77],[0,4,60],[0,5,78],[1,3,65],[1,4,40],[1,5,61],[2,4,23],[3,4,89],[3,5,70]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=23,(1,4)=40,(0,2)=53,(0,1)=54,(0,4)=60,(1,5)=61,(1,3)=65,(3,5)=70,(0,3)=77,(0,5)=78,(3,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=40 Succeeded, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=2, Find(1)=2, Add (0,1)=54 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(0)=2, Find(4)=2, Add (0,4)=60 Failed, w=116\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(5)=5, Add (1,5)=61 Succeeded, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=3, Add (1,3)=65 Succeeded, w=242\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=70 Failed, w=242\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=77 Failed, w=242\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=78 Failed, w=242\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=89 Failed, w=242\"],\"Answer\":242}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,68],[0,2,13],[0,3,8],[0,4,56],[0,5,76],[0,6,6],[0,7,48],[1,2,89],[1,3,94],[1,4,22],[1,5,58],[1,6,7],[1,7,44],[2,3,82],[2,4,39],[2,5,21],[2,6,51],[2,7,40],[3,4,19],[3,6,16],[3,7,34],[4,5,23],[4,7,57],[5,6,94],[5,7,26],[6,7,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,13],[0,3,8],[0,4,56],[0,5,76],[0,6,6],[0,7,48],[1,2,89],[1,3,94],[1,4,22],[1,5,58],[1,6,7],[1,7,44],[2,3,82],[2,4,39],[2,5,21],[2,6,51],[2,7,40],[3,4,19],[3,6,16],[3,7,34],[4,5,23],[4,7,57],[5,6,94],[5,7,26],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,13],[0,3,8],[0,4,56],[0,5,76],[0,6,6],[0,7,48],[1,2,89],[1,3,94],[1,4,22],[1,5,58],[1,6,7],[1,7,44],[2,3,82],[2,4,39],[2,5,21],[2,6,51],[2,7,40],[3,4,19],[3,6,16],[3,7,34],[4,5,23],[4,7,57],[5,6,94],[5,7,26],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,6)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (5,7)\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,13],[0,3,8],[0,4,56],[0,5,76],[0,6,6],[0,7,48],[1,2,89],[1,3,94],[1,4,22],[1,5,58],[1,6,7],[1,7,44],[2,3,82],[2,4,39],[2,5,21],[2,6,51],[2,7,40],[3,4,19],[3,6,16],[3,7,34],[4,5,23],[4,7,57],[5,6,94],[5,7,26],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6, w=6\",\"Add (1,6)=7, w=13\",\"Add (0,3)=8, w=21\",\"Add (0,2)=13, w=34\",\"Add (3,4)=19, w=53\",\"Add (2,5)=21, w=74\",\"Add (5,7)=26, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,13],[0,3,8],[0,4,56],[0,5,76],[0,6,6],[0,7,48],[1,2,89],[1,3,94],[1,4,22],[1,5,58],[1,6,7],[1,7,44],[2,3,82],[2,4,39],[2,5,21],[2,6,51],[2,7,40],[3,4,19],[3,6,16],[3,7,34],[4,5,23],[4,7,57],[5,6,94],[5,7,26],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=6 Succeeded, w=6\",\"Add (1,6)=7 Succeeded, w=13\",\"Add (0,3)=8 Succeeded, w=21\",\"Add (0,2)=13 Succeeded, w=34\",\"Add (3,6)=16 Failed, w=34\",\"Add (3,4)=19 Succeeded, w=53\",\"Add (2,5)=21 Succeeded, w=74\",\"Add (1,4)=22 Failed, w=74\",\"Add (4,5)=23 Failed, w=74\",\"Add (5,7)=26 Succeeded, w=100\",\"Add (3,7)=34 Failed, w=100\",\"Add (2,4)=39 Failed, w=100\",\"Add (2,7)=40 Failed, w=100\",\"Add (1,7)=44 Failed, w=100\",\"Add (0,7)=48 Failed, w=100\",\"Add (2,6)=51 Failed, w=100\",\"Add (0,4)=56 Failed, w=100\",\"Add (4,7)=57 Failed, w=100\",\"Add (1,5)=58 Failed, w=100\",\"Add (0,1)=68 Failed, w=100\",\"Add (0,5)=76 Failed, w=100\",\"Add (2,3)=82 Failed, w=100\",\"Add (1,2)=89 Failed, w=100\",\"Add (6,7)=90 Failed, w=100\",\"Add (1,3)=94 Failed, w=100\",\"Add (5,6)=94 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,13],[0,3,8],[0,4,56],[0,5,76],[0,6,6],[0,7,48],[1,2,89],[1,3,94],[1,4,22],[1,5,58],[1,6,7],[1,7,44],[2,3,82],[2,4,39],[2,5,21],[2,6,51],[2,7,40],[3,4,19],[3,6,16],[3,7,34],[4,5,23],[4,7,57],[5,6,94],[5,7,26],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(1,6)=7,(0,3)=8,(0,2)=13,(3,6)=16,(3,4)=19,(2,5)=21,(1,4)=22,(4,5)=23,(5,7)=26,(3,7)=34,(2,4)=39,(2,7)=40,(1,7)=44,(0,7)=48,(2,6)=51,(0,4)=56,(4,7)=57,(1,5)=58,(0,1)=68,(0,5)=76,(2,3)=82,(1,2)=89,(6,7)=90,(1,3)=94,(5,6)=94]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Find(1)=1, Find(6)=0, Add (1,6)=7 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=21\",\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=34\",\"Find(3)=0, Find(6)=0, Add (3,6)=16 Failed, w=34\",\"Find(3)=0, Find(4)=4, Add (3,4)=19 Succeeded, w=53\",\"Find(2)=0, Find(5)=5, Add (2,5)=21 Succeeded, w=74\",\"Find(1)=0, Find(4)=0, Add (1,4)=22 Failed, w=74\",\"Find(4)=0, Find(5)=0, Add (4,5)=23 Failed, w=74\",\"Find(5)=0, Find(7)=7, Add (5,7)=26 Succeeded, w=100\",\"Find(3)=0, Find(7)=0, Add (3,7)=34 Failed, w=100\",\"Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=100\",\"Find(2)=0, Find(7)=0, Add (2,7)=40 Failed, w=100\",\"Find(1)=0, Find(7)=0, Add (1,7)=44 Failed, w=100\",\"Find(0)=0, Find(7)=0, Add (0,7)=48 Failed, w=100\",\"Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=100\",\"Find(0)=0, Find(4)=0, Add (0,4)=56 Failed, w=100\",\"Find(4)=0, Find(7)=0, Add (4,7)=57 Failed, w=100\",\"Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=100\",\"Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=100\",\"Find(0)=0, Find(5)=0, Add (0,5)=76 Failed, w=100\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=89 Failed, w=100\",\"Find(6)=0, Find(7)=0, Add (6,7)=90 Failed, w=100\",\"Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=100\",\"Find(5)=0, Find(6)=0, Add (5,6)=94 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,68],[0,2,13],[0,3,8],[0,4,56],[0,5,76],[0,6,6],[0,7,48],[1,2,89],[1,3,94],[1,4,22],[1,5,58],[1,6,7],[1,7,44],[2,3,82],[2,4,39],[2,5,21],[2,6,51],[2,7,40],[3,4,19],[3,6,16],[3,7,34],[4,5,23],[4,7,57],[5,6,94],[5,7,26],[6,7,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=6,(1,6)=7,(0,3)=8,(0,2)=13,(3,6)=16,(3,4)=19,(2,5)=21,(1,4)=22,(4,5)=23,(5,7)=26,(3,7)=34,(2,4)=39,(2,7)=40,(1,7)=44,(0,7)=48,(2,6)=51,(0,4)=56,(4,7)=57,(1,5)=58,(0,1)=68,(0,5)=76,(2,3)=82,(1,2)=89,(6,7)=90,(1,3)=94,(5,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(1)=1, Find(6)=0, Add (1,6)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=8 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0, 7: 7}, Find(3)=0, Find(6)=0, Add (3,6)=16 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(3)=0, Find(4)=4, Add (3,4)=19 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(5)=5, Add (2,5)=21 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(4)=0, Add (1,4)=22 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(4)=0, Find(5)=0, Add (4,5)=23 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=26 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=34 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=39 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=40 Failed, w=100\",\"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)=44 Failed, w=100\",\"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)=48 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=51 Failed, w=100\",\"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)=56 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=57 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=68 Failed, w=100\",\"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)=76 Failed, w=100\",\"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)=82 Failed, w=100\",\"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)=89 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=90 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=94 Failed, w=100\",\"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)=94 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,27],[0,2,58],[1,2,24],[1,3,65],[2,3,8],[2,4,39],[3,4,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,58],[1,2,24],[1,3,65],[2,3,8],[2,4,39],[3,4,15]]}",
"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\":[[0,1,27],[0,2,58],[1,2,24],[1,3,65],[2,3,8],[2,4,39],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,4)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,58],[1,2,24],[1,3,65],[2,3,8],[2,4,39],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (3,4)=15, w=23\",\"Add (1,2)=24, w=47\",\"Add (0,1)=27, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,27],[0,2,58],[1,2,24],[1,3,65],[2,3,8],[2,4,39],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (3,4)=15 Succeeded, w=23\",\"Add (1,2)=24 Succeeded, w=47\",\"Add (0,1)=27 Succeeded, w=74\",\"Add (2,4)=39 Failed, w=74\",\"Add (0,2)=58 Failed, w=74\",\"Add (1,3)=65 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\":[[0,1,27],[0,2,58],[1,2,24],[1,3,65],[2,3,8],[2,4,39],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(3,4)=15,(1,2)=24,(0,1)=27,(2,4)=39,(0,2)=58,(1,3)=65]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(3)=2, Find(4)=4, Add (3,4)=15 Succeeded, w=23\",\"Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=47\",\"Find(0)=0, Find(1)=2, Add (0,1)=27 Succeeded, w=74\",\"Find(2)=2, Find(4)=2, Add (2,4)=39 Failed, w=74\",\"Find(0)=2, Find(2)=2, Add (0,2)=58 Failed, w=74\",\"Find(1)=2, Find(3)=2, Add (1,3)=65 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\":[[0,1,27],[0,2,58],[1,2,24],[1,3,65],[2,3,8],[2,4,39],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(3,4)=15,(1,2)=24,(0,1)=27,(2,4)=39,(0,2)=58,(1,3)=65]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=4, Add (3,4)=15 Succeeded, w=23\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=24 Succeeded, w=47\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=27 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=39 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=58 Failed, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=65 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,60],[0,3,37],[0,4,17],[0,5,46],[1,2,55],[1,3,41],[1,4,24],[1,5,64],[2,5,64],[3,4,77],[3,5,64],[4,5,5]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,37],[0,4,17],[0,5,46],[1,2,55],[1,3,41],[1,4,24],[1,5,64],[2,5,64],[3,4,77],[3,5,64],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,37],[0,4,17],[0,5,46],[1,2,55],[1,3,41],[1,4,24],[1,5,64],[2,5,64],[3,4,77],[3,5,64],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,37],[0,4,17],[0,5,46],[1,2,55],[1,3,41],[1,4,24],[1,5,64],[2,5,64],[3,4,77],[3,5,64],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5, w=5\",\"Add (0,4)=17, w=22\",\"Add (1,4)=24, w=46\",\"Add (0,3)=37, w=83\",\"Add (1,2)=55, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,37],[0,4,17],[0,5,46],[1,2,55],[1,3,41],[1,4,24],[1,5,64],[2,5,64],[3,4,77],[3,5,64],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=5 Succeeded, w=5\",\"Add (0,4)=17 Succeeded, w=22\",\"Add (1,4)=24 Succeeded, w=46\",\"Add (0,3)=37 Succeeded, w=83\",\"Add (1,3)=41 Failed, w=83\",\"Add (0,5)=46 Failed, w=83\",\"Add (1,2)=55 Succeeded, w=138\",\"Add (0,1)=60 Failed, w=138\",\"Add (1,5)=64 Failed, w=138\",\"Add (2,5)=64 Failed, w=138\",\"Add (3,5)=64 Failed, w=138\",\"Add (3,4)=77 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,37],[0,4,17],[0,5,46],[1,2,55],[1,3,41],[1,4,24],[1,5,64],[2,5,64],[3,4,77],[3,5,64],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(0,4)=17,(1,4)=24,(0,3)=37,(1,3)=41,(0,5)=46,(1,2)=55,(0,1)=60,(1,5)=64,(2,5)=64,(3,5)=64,(3,4)=77]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=22\",\"Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=46\",\"Find(0)=4, Find(3)=3, Add (0,3)=37 Succeeded, w=83\",\"Find(1)=4, Find(3)=4, Add (1,3)=41 Failed, w=83\",\"Find(0)=4, Find(5)=4, Add (0,5)=46 Failed, w=83\",\"Find(1)=4, Find(2)=2, Add (1,2)=55 Succeeded, w=138\",\"Find(0)=4, Find(1)=4, Add (0,1)=60 Failed, w=138\",\"Find(1)=4, Find(5)=4, Add (1,5)=64 Failed, w=138\",\"Find(2)=4, Find(5)=4, Add (2,5)=64 Failed, w=138\",\"Find(3)=4, Find(5)=4, Add (3,5)=64 Failed, w=138\",\"Find(3)=4, Find(4)=4, Add (3,4)=77 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,60],[0,3,37],[0,4,17],[0,5,46],[1,2,55],[1,3,41],[1,4,24],[1,5,64],[2,5,64],[3,4,77],[3,5,64],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=5,(0,4)=17,(1,4)=24,(0,3)=37,(1,3)=41,(0,5)=46,(1,2)=55,(0,1)=60,(1,5)=64,(2,5)=64,(3,5)=64,(3,4)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(4)=4, Find(5)=5, Add (4,5)=5 Succeeded, w=5\",\"Parent: {0: 4, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4}, Find(0)=0, Find(4)=4, Add (0,4)=17 Succeeded, w=22\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 4}, Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=46\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(3)=3, Add (0,3)=37 Succeeded, w=83\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(3)=4, Add (1,3)=41 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(5)=4, Add (0,5)=46 Failed, w=83\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(2)=2, Add (1,2)=55 Succeeded, w=138\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(0)=4, Find(1)=4, Add (0,1)=60 Failed, w=138\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(1)=4, Find(5)=4, Add (1,5)=64 Failed, w=138\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(2)=4, Find(5)=4, Add (2,5)=64 Failed, w=138\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(5)=4, Add (3,5)=64 Failed, w=138\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4}, Find(3)=4, Find(4)=4, Add (3,4)=77 Failed, w=138\"],\"Answer\":138}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,39],[0,2,49],[0,3,31],[0,4,75],[1,2,34],[1,3,31],[1,4,55],[2,3,74],[2,4,92],[3,4,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,31],[0,4,75],[1,2,34],[1,3,31],[1,4,55],[2,3,74],[2,4,92],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,31],[0,4,75],[1,2,34],[1,3,31],[1,4,55],[2,3,74],[2,4,92],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,31],[0,4,75],[1,2,34],[1,3,31],[1,4,55],[2,3,74],[2,4,92],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=15, w=15\",\"Add (0,3)=31, w=46\",\"Add (1,3)=31, w=77\",\"Add (1,2)=34, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,31],[0,4,75],[1,2,34],[1,3,31],[1,4,55],[2,3,74],[2,4,92],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=15 Succeeded, w=15\",\"Add (0,3)=31 Succeeded, w=46\",\"Add (1,3)=31 Succeeded, w=77\",\"Add (1,2)=34 Succeeded, w=111\",\"Add (0,1)=39 Failed, w=111\",\"Add (0,2)=49 Failed, w=111\",\"Add (1,4)=55 Failed, w=111\",\"Add (2,3)=74 Failed, w=111\",\"Add (0,4)=75 Failed, w=111\",\"Add (2,4)=92 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,31],[0,4,75],[1,2,34],[1,3,31],[1,4,55],[2,3,74],[2,4,92],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=15,(0,3)=31,(1,3)=31,(1,2)=34,(0,1)=39,(0,2)=49,(1,4)=55,(2,3)=74,(0,4)=75,(2,4)=92]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=46\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=77\",\"Find(1)=3, Find(2)=2, Add (1,2)=34 Succeeded, w=111\",\"Find(0)=3, Find(1)=3, Add (0,1)=39 Failed, w=111\",\"Find(0)=3, Find(2)=3, Add (0,2)=49 Failed, w=111\",\"Find(1)=3, Find(4)=3, Add (1,4)=55 Failed, w=111\",\"Find(2)=3, Find(3)=3, Add (2,3)=74 Failed, w=111\",\"Find(0)=3, Find(4)=3, Add (0,4)=75 Failed, w=111\",\"Find(2)=3, Find(4)=3, Add (2,4)=92 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,39],[0,2,49],[0,3,31],[0,4,75],[1,2,34],[1,3,31],[1,4,55],[2,3,74],[2,4,92],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=15,(0,3)=31,(1,3)=31,(1,2)=34,(0,1)=39,(0,2)=49,(1,4)=55,(2,3)=74,(0,4)=75,(2,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=31 Succeeded, w=46\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=77\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=2, Add (1,2)=34 Succeeded, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(1)=3, Add (0,1)=39 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=49 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=55 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=74 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=75 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(4)=3, Add (2,4)=92 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,79],[0,3,25],[1,2,67],[1,3,14],[2,3,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,25],[1,2,67],[1,3,14],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,25],[1,2,67],[1,3,14],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"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\":[[0,1,79],[0,3,25],[1,2,67],[1,3,14],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (1,3)=14, w=14\",\"Add (0,3)=25, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,25],[1,2,67],[1,3,14],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (1,3)=14 Succeeded, w=14\",\"Add (0,3)=25 Succeeded, w=39\",\"Add (1,2)=67 Failed, w=39\",\"Add (0,1)=79 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,25],[1,2,67],[1,3,14],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=14,(0,3)=25,(1,2)=67,(0,1)=79]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=14\",\"Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=39\",\"Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=39\",\"Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,79],[0,3,25],[1,2,67],[1,3,14],[2,3,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(1,3)=14,(0,3)=25,(1,2)=67,(0,1)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(3)=2, Add (1,3)=14 Succeeded, w=14\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=67 Failed, w=39\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=2, Add (0,1)=79 Failed, w=39\"],\"Answer\":39}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,35],[0,2,75],[0,3,90],[0,6,1],[0,7,63],[1,2,28],[1,3,37],[1,4,64],[1,5,16],[1,7,98],[2,3,63],[2,4,51],[2,5,35],[2,6,86],[2,7,69],[3,7,58],[4,5,61],[4,6,6],[5,6,6],[5,7,71],[6,7,48]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,75],[0,3,90],[0,6,1],[0,7,63],[1,2,28],[1,3,37],[1,4,64],[1,5,16],[1,7,98],[2,3,63],[2,4,51],[2,5,35],[2,6,86],[2,7,69],[3,7,58],[4,5,61],[4,6,6],[5,6,6],[5,7,71],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,75],[0,3,90],[0,6,1],[0,7,63],[1,2,28],[1,3,37],[1,4,64],[1,5,16],[1,7,98],[2,3,63],[2,4,51],[2,5,35],[2,6,86],[2,7,69],[3,7,58],[4,5,61],[4,6,6],[5,6,6],[5,7,71],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (4,6)\",\"Add (5,6)\",\"Add (1,5)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (6,7)\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,75],[0,3,90],[0,6,1],[0,7,63],[1,2,28],[1,3,37],[1,4,64],[1,5,16],[1,7,98],[2,3,63],[2,4,51],[2,5,35],[2,6,86],[2,7,69],[3,7,58],[4,5,61],[4,6,6],[5,6,6],[5,7,71],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (4,6)=6, w=7\",\"Add (5,6)=6, w=13\",\"Add (1,5)=16, w=29\",\"Add (1,2)=28, w=57\",\"Add (1,3)=37, w=94\",\"Add (6,7)=48, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,75],[0,3,90],[0,6,1],[0,7,63],[1,2,28],[1,3,37],[1,4,64],[1,5,16],[1,7,98],[2,3,63],[2,4,51],[2,5,35],[2,6,86],[2,7,69],[3,7,58],[4,5,61],[4,6,6],[5,6,6],[5,7,71],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (4,6)=6 Succeeded, w=7\",\"Add (5,6)=6 Succeeded, w=13\",\"Add (1,5)=16 Succeeded, w=29\",\"Add (1,2)=28 Succeeded, w=57\",\"Add (0,1)=35 Failed, w=57\",\"Add (2,5)=35 Failed, w=57\",\"Add (1,3)=37 Succeeded, w=94\",\"Add (6,7)=48 Succeeded, w=142\",\"Add (2,4)=51 Failed, w=142\",\"Add (3,7)=58 Failed, w=142\",\"Add (4,5)=61 Failed, w=142\",\"Add (0,7)=63 Failed, w=142\",\"Add (2,3)=63 Failed, w=142\",\"Add (1,4)=64 Failed, w=142\",\"Add (2,7)=69 Failed, w=142\",\"Add (5,7)=71 Failed, w=142\",\"Add (0,2)=75 Failed, w=142\",\"Add (2,6)=86 Failed, w=142\",\"Add (0,3)=90 Failed, w=142\",\"Add (1,7)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,75],[0,3,90],[0,6,1],[0,7,63],[1,2,28],[1,3,37],[1,4,64],[1,5,16],[1,7,98],[2,3,63],[2,4,51],[2,5,35],[2,6,86],[2,7,69],[3,7,58],[4,5,61],[4,6,6],[5,6,6],[5,7,71],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(4,6)=6,(5,6)=6,(1,5)=16,(1,2)=28,(0,1)=35,(2,5)=35,(1,3)=37,(6,7)=48,(2,4)=51,(3,7)=58,(4,5)=61,(0,7)=63,(2,3)=63,(1,4)=64,(2,7)=69,(5,7)=71,(0,2)=75,(2,6)=86,(0,3)=90,(1,7)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(4)=4, Find(6)=0, Add (4,6)=6 Succeeded, w=7\",\"Find(5)=5, Find(6)=0, Add (5,6)=6 Succeeded, w=13\",\"Find(1)=1, Find(5)=0, Add (1,5)=16 Succeeded, w=29\",\"Find(1)=0, Find(2)=2, Add (1,2)=28 Succeeded, w=57\",\"Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=57\",\"Find(2)=0, Find(5)=0, Add (2,5)=35 Failed, w=57\",\"Find(1)=0, Find(3)=3, Add (1,3)=37 Succeeded, w=94\",\"Find(6)=0, Find(7)=7, Add (6,7)=48 Succeeded, w=142\",\"Find(2)=0, Find(4)=0, Add (2,4)=51 Failed, w=142\",\"Find(3)=0, Find(7)=0, Add (3,7)=58 Failed, w=142\",\"Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=142\",\"Find(0)=0, Find(7)=0, Add (0,7)=63 Failed, w=142\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=142\",\"Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=142\",\"Find(2)=0, Find(7)=0, Add (2,7)=69 Failed, w=142\",\"Find(5)=0, Find(7)=0, Add (5,7)=71 Failed, w=142\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=142\",\"Find(2)=0, Find(6)=0, Add (2,6)=86 Failed, w=142\",\"Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=142\",\"Find(1)=0, Find(7)=0, Add (1,7)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,75],[0,3,90],[0,6,1],[0,7,63],[1,2,28],[1,3,37],[1,4,64],[1,5,16],[1,7,98],[2,3,63],[2,4,51],[2,5,35],[2,6,86],[2,7,69],[3,7,58],[4,5,61],[4,6,6],[5,6,6],[5,7,71],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(4,6)=6,(5,6)=6,(1,5)=16,(1,2)=28,(0,1)=35,(2,5)=35,(1,3)=37,(6,7)=48,(2,4)=51,(3,7)=58,(4,5)=61,(0,7)=63,(2,3)=63,(1,4)=64,(2,7)=69,(5,7)=71,(0,2)=75,(2,6)=86,(0,3)=90,(1,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(4)=4, Find(6)=0, Add (4,6)=6 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(5)=5, Find(6)=0, Add (5,6)=6 Succeeded, w=13\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=1, Find(5)=0, Add (1,5)=16 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(2)=2, Add (1,2)=28 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 7}, Find(2)=0, Find(5)=0, Add (2,5)=35 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 7}, Find(1)=0, Find(3)=3, Add (1,3)=37 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=7, Add (6,7)=48 Succeeded, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=51 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=58 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=61 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=63 Failed, w=142\",\"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)=63 Failed, w=142\",\"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)=64 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=69 Failed, w=142\",\"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)=71 Failed, w=142\",\"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)=75 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=86 Failed, w=142\",\"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)=90 Failed, w=142\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=98 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,4],[1,2,32],[1,3,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[1,2,32],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[1,2,32],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[1,2,32],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (1,2)=32, w=36\",\"Add (1,3)=90, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[1,2,32],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (1,2)=32 Succeeded, w=36\",\"Add (1,3)=90 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[1,2,32],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,2)=32,(1,3)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(1)=0, Find(2)=2, Add (1,2)=32 Succeeded, w=36\",\"Find(1)=0, Find(3)=3, Add (1,3)=90 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,4],[1,2,32],[1,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(1,2)=32,(1,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=32 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=90 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,5],[0,3,90],[1,2,57],[1,4,21],[2,3,16],[2,4,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,90],[1,2,57],[1,4,21],[2,3,16],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,90],[1,2,57],[1,4,21],[2,3,16],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,90],[1,2,57],[1,4,21],[2,3,16],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (2,3)=16, w=21\",\"Add (2,4)=17, w=38\",\"Add (1,4)=21, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,90],[1,2,57],[1,4,21],[2,3,16],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (2,3)=16 Succeeded, w=21\",\"Add (2,4)=17 Succeeded, w=38\",\"Add (1,4)=21 Succeeded, w=59\",\"Add (1,2)=57 Failed, w=59\",\"Add (0,3)=90 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,90],[1,2,57],[1,4,21],[2,3,16],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(2,3)=16,(2,4)=17,(1,4)=21,(1,2)=57,(0,3)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=21\",\"Find(2)=0, Find(4)=4, Add (2,4)=17 Succeeded, w=38\",\"Find(1)=1, Find(4)=0, Add (1,4)=21 Succeeded, w=59\",\"Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=59\",\"Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,5],[0,3,90],[1,2,57],[1,4,21],[2,3,16],[2,4,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(2,3)=16,(2,4)=17,(1,4)=21,(1,2)=57,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=16 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=17 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=21 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=57 Failed, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,21],[0,5,85],[1,5,12],[2,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,21],[0,5,85],[1,5,12],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,21],[0,5,85],[1,5,12],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (0,5)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,21],[0,5,85],[1,5,12],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12, w=12\",\"Add (0,4)=21, w=33\",\"Add (2,4)=42, w=75\",\"Add (0,5)=85, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,21],[0,5,85],[1,5,12],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12 Succeeded, w=12\",\"Add (0,4)=21 Succeeded, w=33\",\"Add (2,4)=42 Succeeded, w=75\",\"Add (0,5)=85 Succeeded, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,21],[0,5,85],[1,5,12],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(0,4)=21,(2,4)=42,(0,5)=85]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=33\",\"Find(2)=2, Find(4)=0, Add (2,4)=42 Succeeded, w=75\",\"Find(0)=0, Find(5)=1, Add (0,5)=85 Succeeded, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,21],[0,5,85],[1,5,12],[2,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(0,4)=21,(2,4)=42,(0,5)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 1}, Find(2)=2, Find(4)=0, Add (2,4)=42 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=85 Succeeded, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,26],[0,2,22],[0,3,77],[0,4,61],[1,3,55],[2,3,72],[2,4,18]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,22],[0,3,77],[0,4,61],[1,3,55],[2,3,72],[2,4,18]]}",
"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\":[[0,1,26],[0,2,22],[0,3,77],[0,4,61],[1,3,55],[2,3,72],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,22],[0,3,77],[0,4,61],[1,3,55],[2,3,72],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=18, w=18\",\"Add (0,2)=22, w=40\",\"Add (0,1)=26, w=66\",\"Add (1,3)=55, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,26],[0,2,22],[0,3,77],[0,4,61],[1,3,55],[2,3,72],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=18 Succeeded, w=18\",\"Add (0,2)=22 Succeeded, w=40\",\"Add (0,1)=26 Succeeded, w=66\",\"Add (1,3)=55 Succeeded, w=121\",\"Add (0,4)=61 Failed, w=121\",\"Add (2,3)=72 Failed, w=121\",\"Add (0,3)=77 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\":[[0,1,26],[0,2,22],[0,3,77],[0,4,61],[1,3,55],[2,3,72],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=18,(0,2)=22,(0,1)=26,(1,3)=55,(0,4)=61,(2,3)=72,(0,3)=77]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=40\",\"Find(0)=2, Find(1)=1, Add (0,1)=26 Succeeded, w=66\",\"Find(1)=2, Find(3)=3, Add (1,3)=55 Succeeded, w=121\",\"Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=121\",\"Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=121\",\"Find(0)=2, Find(3)=2, Add (0,3)=77 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\":[[0,1,26],[0,2,22],[0,3,77],[0,4,61],[1,3,55],[2,3,72],[2,4,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=18,(0,2)=22,(0,1)=26,(1,3)=55,(0,4)=61,(2,3)=72,(0,3)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=40\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2}, Find(0)=2, Find(1)=1, Add (0,1)=26 Succeeded, w=66\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=3, Add (1,3)=55 Succeeded, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=72 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=77 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,82],[0,2,22],[0,3,62],[0,4,56],[1,4,89],[2,4,84],[3,4,6]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,22],[0,3,62],[0,4,56],[1,4,89],[2,4,84],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,22],[0,3,62],[0,4,56],[1,4,89],[2,4,84],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (0,1)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,22],[0,3,62],[0,4,56],[1,4,89],[2,4,84],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6, w=6\",\"Add (0,2)=22, w=28\",\"Add (0,4)=56, w=84\",\"Add (0,1)=82, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,22],[0,3,62],[0,4,56],[1,4,89],[2,4,84],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=6 Succeeded, w=6\",\"Add (0,2)=22 Succeeded, w=28\",\"Add (0,4)=56 Succeeded, w=84\",\"Add (0,3)=62 Failed, w=84\",\"Add (0,1)=82 Succeeded, w=166\",\"Add (2,4)=84 Failed, w=166\",\"Add (1,4)=89 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,22],[0,3,62],[0,4,56],[1,4,89],[2,4,84],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(0,2)=22,(0,4)=56,(0,3)=62,(0,1)=82,(2,4)=84,(1,4)=89]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=28\",\"Find(0)=0, Find(4)=3, Add (0,4)=56 Succeeded, w=84\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=84\",\"Find(0)=0, Find(1)=1, Add (0,1)=82 Succeeded, w=166\",\"Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=166\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,82],[0,2,22],[0,3,62],[0,4,56],[1,4,89],[2,4,84],[3,4,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=6,(0,2)=22,(0,4)=56,(0,3)=62,(0,1)=82,(2,4)=84,(1,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=22 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=56 Succeeded, w=84\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=84\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=82 Succeeded, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=84 Failed, w=166\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,83],[1,2,37],[1,3,89]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,2,37],[1,3,89]]}",
"role": "user"
},
{
"content": "{\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,2,37],[1,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,2,37],[1,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=37, w=37\",\"Add (0,2)=83, w=120\",\"Add (1,3)=89, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,2,37],[1,3,89]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=37 Succeeded, w=37\",\"Add (0,2)=83 Succeeded, w=120\",\"Add (1,3)=89 Succeeded, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,2,37],[1,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=37,(0,2)=83,(1,3)=89]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=37\",\"Find(0)=0, Find(2)=1, Add (0,2)=83 Succeeded, w=120\",\"Find(1)=1, Find(3)=3, Add (1,3)=89 Succeeded, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,83],[1,2,37],[1,3,89]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=37,(0,2)=83,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=37 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=83 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=89 Succeeded, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,66],[0,3,45],[0,4,90],[0,5,98],[0,6,83],[1,2,68],[1,4,80],[1,5,70],[1,6,87],[1,7,78],[2,3,98],[2,4,96],[2,6,70],[2,7,44],[3,4,12],[3,5,42],[3,6,53],[3,7,42],[4,5,80],[5,6,83]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,45],[0,4,90],[0,5,98],[0,6,83],[1,2,68],[1,4,80],[1,5,70],[1,6,87],[1,7,78],[2,3,98],[2,4,96],[2,6,70],[2,7,44],[3,4,12],[3,5,42],[3,6,53],[3,7,42],[4,5,80],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":306}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,45],[0,4,90],[0,5,98],[0,6,83],[1,2,68],[1,4,80],[1,5,70],[1,6,87],[1,7,78],[2,3,98],[2,4,96],[2,6,70],[2,7,44],[3,4,12],[3,5,42],[3,6,53],[3,7,42],[4,5,80],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (3,5)\",\"Add (3,7)\",\"Add (2,7)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (1,2)\"],\"Answer\":306}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,45],[0,4,90],[0,5,98],[0,6,83],[1,2,68],[1,4,80],[1,5,70],[1,6,87],[1,7,78],[2,3,98],[2,4,96],[2,6,70],[2,7,44],[3,4,12],[3,5,42],[3,6,53],[3,7,42],[4,5,80],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12, w=12\",\"Add (3,5)=42, w=54\",\"Add (3,7)=42, w=96\",\"Add (2,7)=44, w=140\",\"Add (0,3)=45, w=185\",\"Add (3,6)=53, w=238\",\"Add (1,2)=68, w=306\"],\"Answer\":306}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,45],[0,4,90],[0,5,98],[0,6,83],[1,2,68],[1,4,80],[1,5,70],[1,6,87],[1,7,78],[2,3,98],[2,4,96],[2,6,70],[2,7,44],[3,4,12],[3,5,42],[3,6,53],[3,7,42],[4,5,80],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=12 Succeeded, w=12\",\"Add (3,5)=42 Succeeded, w=54\",\"Add (3,7)=42 Succeeded, w=96\",\"Add (2,7)=44 Succeeded, w=140\",\"Add (0,3)=45 Succeeded, w=185\",\"Add (3,6)=53 Succeeded, w=238\",\"Add (0,2)=66 Failed, w=238\",\"Add (1,2)=68 Succeeded, w=306\",\"Add (1,5)=70 Failed, w=306\",\"Add (2,6)=70 Failed, w=306\",\"Add (1,7)=78 Failed, w=306\",\"Add (1,4)=80 Failed, w=306\",\"Add (4,5)=80 Failed, w=306\",\"Add (0,6)=83 Failed, w=306\",\"Add (5,6)=83 Failed, w=306\",\"Add (1,6)=87 Failed, w=306\",\"Add (0,4)=90 Failed, w=306\",\"Add (2,4)=96 Failed, w=306\",\"Add (0,5)=98 Failed, w=306\",\"Add (2,3)=98 Failed, w=306\"],\"Answer\":306}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,45],[0,4,90],[0,5,98],[0,6,83],[1,2,68],[1,4,80],[1,5,70],[1,6,87],[1,7,78],[2,3,98],[2,4,96],[2,6,70],[2,7,44],[3,4,12],[3,5,42],[3,6,53],[3,7,42],[4,5,80],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(3,5)=42,(3,7)=42,(2,7)=44,(0,3)=45,(3,6)=53,(0,2)=66,(1,2)=68,(1,5)=70,(2,6)=70,(1,7)=78,(1,4)=80,(4,5)=80,(0,6)=83,(5,6)=83,(1,6)=87,(0,4)=90,(2,4)=96,(0,5)=98,(2,3)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Find(3)=3, Find(5)=5, Add (3,5)=42 Succeeded, w=54\",\"Find(3)=3, Find(7)=7, Add (3,7)=42 Succeeded, w=96\",\"Find(2)=2, Find(7)=3, Add (2,7)=44 Succeeded, w=140\",\"Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=185\",\"Find(3)=3, Find(6)=6, Add (3,6)=53 Succeeded, w=238\",\"Find(0)=3, Find(2)=3, Add (0,2)=66 Failed, w=238\",\"Find(1)=1, Find(2)=3, Add (1,2)=68 Succeeded, w=306\",\"Find(1)=3, Find(5)=3, Add (1,5)=70 Failed, w=306\",\"Find(2)=3, Find(6)=3, Add (2,6)=70 Failed, w=306\",\"Find(1)=3, Find(7)=3, Add (1,7)=78 Failed, w=306\",\"Find(1)=3, Find(4)=3, Add (1,4)=80 Failed, w=306\",\"Find(4)=3, Find(5)=3, Add (4,5)=80 Failed, w=306\",\"Find(0)=3, Find(6)=3, Add (0,6)=83 Failed, w=306\",\"Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=306\",\"Find(1)=3, Find(6)=3, Add (1,6)=87 Failed, w=306\",\"Find(0)=3, Find(4)=3, Add (0,4)=90 Failed, w=306\",\"Find(2)=3, Find(4)=3, Add (2,4)=96 Failed, w=306\",\"Find(0)=3, Find(5)=3, Add (0,5)=98 Failed, w=306\",\"Find(2)=3, Find(3)=3, Add (2,3)=98 Failed, w=306\"],\"Answer\":306}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,66],[0,3,45],[0,4,90],[0,5,98],[0,6,83],[1,2,68],[1,4,80],[1,5,70],[1,6,87],[1,7,78],[2,3,98],[2,4,96],[2,6,70],[2,7,44],[3,4,12],[3,5,42],[3,6,53],[3,7,42],[4,5,80],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=12,(3,5)=42,(3,7)=42,(2,7)=44,(0,3)=45,(3,6)=53,(0,2)=66,(1,2)=68,(1,5)=70,(2,6)=70,(1,7)=78,(1,4)=80,(4,5)=80,(0,6)=83,(5,6)=83,(1,6)=87,(0,4)=90,(2,4)=96,(0,5)=98,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=42 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=42 Succeeded, w=96\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=44 Succeeded, w=140\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 6, 7: 3}, Find(0)=0, Find(3)=3, Add (0,3)=45 Succeeded, w=185\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=6, Add (3,6)=53 Succeeded, w=238\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(2)=3, Add (0,2)=66 Failed, w=238\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(2)=3, Add (1,2)=68 Succeeded, w=306\",\"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)=70 Failed, w=306\",\"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)=70 Failed, w=306\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=78 Failed, w=306\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=80 Failed, w=306\",\"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)=80 Failed, w=306\",\"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)=83 Failed, w=306\",\"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)=83 Failed, w=306\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=87 Failed, w=306\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=90 Failed, w=306\",\"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)=96 Failed, w=306\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=98 Failed, w=306\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=98 Failed, w=306\"],\"Answer\":306}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,34],[0,2,20],[0,3,95],[1,2,72],[1,3,50],[2,3,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,20],[0,3,95],[1,2,72],[1,3,50],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,20],[0,3,95],[1,2,72],[1,3,50],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,20],[0,3,95],[1,2,72],[1,3,50],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=20, w=20\",\"Add (0,1)=34, w=54\",\"Add (2,3)=43, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,20],[0,3,95],[1,2,72],[1,3,50],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=20 Succeeded, w=20\",\"Add (0,1)=34 Succeeded, w=54\",\"Add (2,3)=43 Succeeded, w=97\",\"Add (1,3)=50 Failed, w=97\",\"Add (1,2)=72 Failed, w=97\",\"Add (0,3)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,20],[0,3,95],[1,2,72],[1,3,50],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=20,(0,1)=34,(2,3)=43,(1,3)=50,(1,2)=72,(0,3)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=54\",\"Find(2)=0, Find(3)=3, Add (2,3)=43 Succeeded, w=97\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=97\",\"Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,20],[0,3,95],[1,2,72],[1,3,50],[2,3,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=20,(0,1)=34,(2,3)=43,(1,3)=50,(1,2)=72,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=54\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=43 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=95 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,53],[0,2,80],[0,3,94],[0,4,47],[1,2,45],[1,3,44],[1,4,38],[2,3,46],[2,4,40]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,80],[0,3,94],[0,4,47],[1,2,45],[1,3,44],[1,4,38],[2,3,46],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,80],[0,3,94],[0,4,47],[1,2,45],[1,3,44],[1,4,38],[2,3,46],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (2,4)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,80],[0,3,94],[0,4,47],[1,2,45],[1,3,44],[1,4,38],[2,3,46],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=38, w=38\",\"Add (2,4)=40, w=78\",\"Add (1,3)=44, w=122\",\"Add (0,4)=47, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,80],[0,3,94],[0,4,47],[1,2,45],[1,3,44],[1,4,38],[2,3,46],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=38 Succeeded, w=38\",\"Add (2,4)=40 Succeeded, w=78\",\"Add (1,3)=44 Succeeded, w=122\",\"Add (1,2)=45 Failed, w=122\",\"Add (2,3)=46 Failed, w=122\",\"Add (0,4)=47 Succeeded, w=169\",\"Add (0,1)=53 Failed, w=169\",\"Add (0,2)=80 Failed, w=169\",\"Add (0,3)=94 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,80],[0,3,94],[0,4,47],[1,2,45],[1,3,44],[1,4,38],[2,3,46],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=38,(2,4)=40,(1,3)=44,(1,2)=45,(2,3)=46,(0,4)=47,(0,1)=53,(0,2)=80,(0,3)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=38 Succeeded, w=38\",\"Find(2)=2, Find(4)=1, Add (2,4)=40 Succeeded, w=78\",\"Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=122\",\"Find(1)=1, Find(2)=1, Add (1,2)=45 Failed, w=122\",\"Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=122\",\"Find(0)=0, Find(4)=1, Add (0,4)=47 Succeeded, w=169\",\"Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=169\",\"Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=169\",\"Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,53],[0,2,80],[0,3,94],[0,4,47],[1,2,45],[1,3,44],[1,4,38],[2,3,46],[2,4,40]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=38,(2,4)=40,(1,3)=44,(1,2)=45,(2,3)=46,(0,4)=47,(0,1)=53,(0,2)=80,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=38 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=40 Succeeded, w=78\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=3, Add (1,3)=44 Succeeded, w=122\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=45 Failed, w=122\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=47 Succeeded, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=53 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=80 Failed, w=169\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=94 Failed, w=169\"],\"Answer\":169}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,48],[0,3,75],[0,4,14],[0,5,23],[0,6,8],[0,7,9],[1,4,4],[1,5,18],[1,7,96],[2,4,52],[2,5,12],[2,6,43],[2,7,71],[3,4,96],[3,5,28],[3,6,15],[3,7,72],[4,5,47],[4,6,10],[5,6,88],[5,7,69],[6,7,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,75],[0,4,14],[0,5,23],[0,6,8],[0,7,9],[1,4,4],[1,5,18],[1,7,96],[2,4,52],[2,5,12],[2,6,43],[2,7,71],[3,4,96],[3,5,28],[3,6,15],[3,7,72],[4,5,47],[4,6,10],[5,6,88],[5,7,69],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,75],[0,4,14],[0,5,23],[0,6,8],[0,7,9],[1,4,4],[1,5,18],[1,7,96],[2,4,52],[2,5,12],[2,6,43],[2,7,71],[3,4,96],[3,5,28],[3,6,15],[3,7,72],[4,5,47],[4,6,10],[5,6,88],[5,7,69],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (2,5)\",\"Add (3,6)\",\"Add (1,5)\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,75],[0,4,14],[0,5,23],[0,6,8],[0,7,9],[1,4,4],[1,5,18],[1,7,96],[2,4,52],[2,5,12],[2,6,43],[2,7,71],[3,4,96],[3,5,28],[3,6,15],[3,7,72],[4,5,47],[4,6,10],[5,6,88],[5,7,69],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=2, w=2\",\"Add (1,4)=4, w=6\",\"Add (0,6)=8, w=14\",\"Add (4,6)=10, w=24\",\"Add (2,5)=12, w=36\",\"Add (3,6)=15, w=51\",\"Add (1,5)=18, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,75],[0,4,14],[0,5,23],[0,6,8],[0,7,9],[1,4,4],[1,5,18],[1,7,96],[2,4,52],[2,5,12],[2,6,43],[2,7,71],[3,4,96],[3,5,28],[3,6,15],[3,7,72],[4,5,47],[4,6,10],[5,6,88],[5,7,69],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (6,7)=2 Succeeded, w=2\",\"Add (1,4)=4 Succeeded, w=6\",\"Add (0,6)=8 Succeeded, w=14\",\"Add (0,7)=9 Failed, w=14\",\"Add (4,6)=10 Succeeded, w=24\",\"Add (2,5)=12 Succeeded, w=36\",\"Add (0,4)=14 Failed, w=36\",\"Add (3,6)=15 Succeeded, w=51\",\"Add (1,5)=18 Succeeded, w=69\",\"Add (0,5)=23 Failed, w=69\",\"Add (3,5)=28 Failed, w=69\",\"Add (2,6)=43 Failed, w=69\",\"Add (4,5)=47 Failed, w=69\",\"Add (0,1)=48 Failed, w=69\",\"Add (2,4)=52 Failed, w=69\",\"Add (5,7)=69 Failed, w=69\",\"Add (2,7)=71 Failed, w=69\",\"Add (3,7)=72 Failed, w=69\",\"Add (0,3)=75 Failed, w=69\",\"Add (5,6)=88 Failed, w=69\",\"Add (1,7)=96 Failed, w=69\",\"Add (3,4)=96 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,75],[0,4,14],[0,5,23],[0,6,8],[0,7,9],[1,4,4],[1,5,18],[1,7,96],[2,4,52],[2,5,12],[2,6,43],[2,7,71],[3,4,96],[3,5,28],[3,6,15],[3,7,72],[4,5,47],[4,6,10],[5,6,88],[5,7,69],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=2,(1,4)=4,(0,6)=8,(0,7)=9,(4,6)=10,(2,5)=12,(0,4)=14,(3,6)=15,(1,5)=18,(0,5)=23,(3,5)=28,(2,6)=43,(4,5)=47,(0,1)=48,(2,4)=52,(5,7)=69,(2,7)=71,(3,7)=72,(0,3)=75,(5,6)=88,(1,7)=96,(3,4)=96]\",\"Process\":[\"Find(6)=6, Find(7)=7, Add (6,7)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=6\",\"Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=14\",\"Find(0)=6, Find(7)=6, Add (0,7)=9 Failed, w=14\",\"Find(4)=1, Find(6)=6, Add (4,6)=10 Succeeded, w=24\",\"Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=36\",\"Find(0)=1, Find(4)=1, Add (0,4)=14 Failed, w=36\",\"Find(3)=3, Find(6)=1, Add (3,6)=15 Succeeded, w=51\",\"Find(1)=1, Find(5)=2, Add (1,5)=18 Succeeded, w=69\",\"Find(0)=1, Find(5)=1, Add (0,5)=23 Failed, w=69\",\"Find(3)=1, Find(5)=1, Add (3,5)=28 Failed, w=69\",\"Find(2)=1, Find(6)=1, Add (2,6)=43 Failed, w=69\",\"Find(4)=1, Find(5)=1, Add (4,5)=47 Failed, w=69\",\"Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=69\",\"Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=69\",\"Find(5)=1, Find(7)=1, Add (5,7)=69 Failed, w=69\",\"Find(2)=1, Find(7)=1, Add (2,7)=71 Failed, w=69\",\"Find(3)=1, Find(7)=1, Add (3,7)=72 Failed, w=69\",\"Find(0)=1, Find(3)=1, Add (0,3)=75 Failed, w=69\",\"Find(5)=1, Find(6)=1, Add (5,6)=88 Failed, w=69\",\"Find(1)=1, Find(7)=1, Add (1,7)=96 Failed, w=69\",\"Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,3,75],[0,4,14],[0,5,23],[0,6,8],[0,7,9],[1,4,4],[1,5,18],[1,7,96],[2,4,52],[2,5,12],[2,6,43],[2,7,71],[3,4,96],[3,5,28],[3,6,15],[3,7,72],[4,5,47],[4,6,10],[5,6,88],[5,7,69],[6,7,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(6,7)=2,(1,4)=4,(0,6)=8,(0,7)=9,(4,6)=10,(2,5)=12,(0,4)=14,(3,6)=15,(1,5)=18,(0,5)=23,(3,5)=28,(2,6)=43,(4,5)=47,(0,1)=48,(2,4)=52,(5,7)=69,(2,7)=71,(3,7)=72,(0,3)=75,(5,6)=88,(1,7)=96,(3,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 6}, Find(1)=1, Find(4)=4, Add (1,4)=4 Succeeded, w=6\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 6}, Find(0)=0, Find(6)=6, Add (0,6)=8 Succeeded, w=14\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 6}, Find(0)=6, Find(7)=6, Add (0,7)=9 Failed, w=14\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 1, 7: 6}, Find(4)=1, Find(6)=6, Add (4,6)=10 Succeeded, w=24\",\"Parent: {0: 6, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 1, 7: 6}, Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 1, 7: 6}, Find(0)=1, Find(4)=1, Add (0,4)=14 Failed, w=36\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1, 7: 6}, Find(3)=3, Find(6)=1, Add (3,6)=15 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1, 7: 6}, Find(1)=1, Find(5)=2, Add (1,5)=18 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(0)=1, Find(5)=1, Add (0,5)=23 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(3)=1, Find(5)=1, Add (3,5)=28 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(2)=1, Find(6)=1, Add (2,6)=43 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(4)=1, Find(5)=1, Add (4,5)=47 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(0)=1, Find(1)=1, Add (0,1)=48 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 6}, Find(2)=1, Find(4)=1, Add (2,4)=52 Failed, w=69\",\"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)=69 Failed, w=69\",\"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)=71 Failed, w=69\",\"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)=72 Failed, w=69\",\"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)=75 Failed, w=69\",\"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)=88 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=96 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=96 Failed, w=69\"],\"Answer\":69}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,42],[0,2,38],[0,3,57],[0,4,42],[0,5,74],[1,2,55],[1,3,28],[1,4,77],[2,5,0],[3,4,25],[3,5,89],[4,5,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,38],[0,3,57],[0,4,42],[0,5,74],[1,2,55],[1,3,28],[1,4,77],[2,5,0],[3,4,25],[3,5,89],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,38],[0,3,57],[0,4,42],[0,5,74],[1,2,55],[1,3,28],[1,4,77],[2,5,0],[3,4,25],[3,5,89],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,38],[0,3,57],[0,4,42],[0,5,74],[1,2,55],[1,3,28],[1,4,77],[2,5,0],[3,4,25],[3,5,89],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (4,5)=21, w=21\",\"Add (3,4)=25, w=46\",\"Add (1,3)=28, w=74\",\"Add (0,2)=38, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,38],[0,3,57],[0,4,42],[0,5,74],[1,2,55],[1,3,28],[1,4,77],[2,5,0],[3,4,25],[3,5,89],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (4,5)=21 Succeeded, w=21\",\"Add (3,4)=25 Succeeded, w=46\",\"Add (1,3)=28 Succeeded, w=74\",\"Add (0,2)=38 Succeeded, w=112\",\"Add (0,1)=42 Failed, w=112\",\"Add (0,4)=42 Failed, w=112\",\"Add (1,2)=55 Failed, w=112\",\"Add (0,3)=57 Failed, w=112\",\"Add (0,5)=74 Failed, w=112\",\"Add (1,4)=77 Failed, w=112\",\"Add (3,5)=89 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,38],[0,3,57],[0,4,42],[0,5,74],[1,2,55],[1,3,28],[1,4,77],[2,5,0],[3,4,25],[3,5,89],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(4,5)=21,(3,4)=25,(1,3)=28,(0,2)=38,(0,1)=42,(0,4)=42,(1,2)=55,(0,3)=57,(0,5)=74,(1,4)=77,(3,5)=89]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=2, Add (4,5)=21 Succeeded, w=21\",\"Find(3)=3, Find(4)=2, Add (3,4)=25 Succeeded, w=46\",\"Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=74\",\"Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=112\",\"Find(0)=2, Find(1)=2, Add (0,1)=42 Failed, w=112\",\"Find(0)=2, Find(4)=2, Add (0,4)=42 Failed, w=112\",\"Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=112\",\"Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=112\",\"Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=112\",\"Find(1)=2, Find(4)=2, Add (1,4)=77 Failed, w=112\",\"Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,38],[0,3,57],[0,4,42],[0,5,74],[1,2,55],[1,3,28],[1,4,77],[2,5,0],[3,4,25],[3,5,89],[4,5,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(4,5)=21,(3,4)=25,(1,3)=28,(0,2)=38,(0,1)=42,(0,4)=42,(1,2)=55,(0,3)=57,(0,5)=74,(1,4)=77,(3,5)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(4)=2, Add (3,4)=25 Succeeded, w=46\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=74\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=38 Succeeded, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=42 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=42 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=55 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=57 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=77 Failed, w=112\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=89 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,3,95],[1,2,61],[1,3,84],[2,3,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,95],[1,2,61],[1,3,84],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,95],[1,2,61],[1,3,84],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,95],[1,2,61],[1,3,84],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (1,2)=61, w=73\",\"Add (0,1)=62, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,95],[1,2,61],[1,3,84],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (1,2)=61 Succeeded, w=73\",\"Add (0,1)=62 Succeeded, w=135\",\"Add (1,3)=84 Failed, w=135\",\"Add (0,3)=95 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,95],[1,2,61],[1,3,84],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(1,2)=61,(0,1)=62,(1,3)=84,(0,3)=95]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=73\",\"Find(0)=0, Find(1)=2, Add (0,1)=62 Succeeded, w=135\",\"Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=135\",\"Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,3,95],[1,2,61],[1,3,84],[2,3,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(1,2)=61,(0,1)=62,(1,3)=84,(0,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=61 Succeeded, w=73\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(1)=2, Add (0,1)=62 Succeeded, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=84 Failed, w=135\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,61],[0,4,51],[0,5,21],[0,6,7],[1,2,25],[1,3,67],[1,4,54],[1,5,32],[1,6,58],[2,3,53],[2,4,27],[2,5,79],[2,6,32],[3,4,12],[3,5,17],[3,6,72],[4,5,2],[4,6,93],[5,6,7]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,61],[0,4,51],[0,5,21],[0,6,7],[1,2,25],[1,3,67],[1,4,54],[1,5,32],[1,6,58],[2,3,53],[2,4,27],[2,5,79],[2,6,32],[3,4,12],[3,5,17],[3,6,72],[4,5,2],[4,6,93],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"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],[0,2,61],[0,4,51],[0,5,21],[0,6,7],[1,2,25],[1,3,67],[1,4,54],[1,5,32],[1,6,58],[2,3,53],[2,4,27],[2,5,79],[2,6,32],[3,4,12],[3,5,17],[3,6,72],[4,5,2],[4,6,93],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)\",\"Add (0,1)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (3,4)\",\"Add (1,2)\"],\"Answer\":58}",
"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],[0,2,61],[0,4,51],[0,5,21],[0,6,7],[1,2,25],[1,3,67],[1,4,54],[1,5,32],[1,6,58],[2,3,53],[2,4,27],[2,5,79],[2,6,32],[3,4,12],[3,5,17],[3,6,72],[4,5,2],[4,6,93],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2, w=2\",\"Add (0,1)=5, w=7\",\"Add (0,6)=7, w=14\",\"Add (5,6)=7, w=21\",\"Add (3,4)=12, w=33\",\"Add (1,2)=25, w=58\"],\"Answer\":58}",
"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],[0,2,61],[0,4,51],[0,5,21],[0,6,7],[1,2,25],[1,3,67],[1,4,54],[1,5,32],[1,6,58],[2,3,53],[2,4,27],[2,5,79],[2,6,32],[3,4,12],[3,5,17],[3,6,72],[4,5,2],[4,6,93],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,5)=2 Succeeded, w=2\",\"Add (0,1)=5 Succeeded, w=7\",\"Add (0,6)=7 Succeeded, w=14\",\"Add (5,6)=7 Succeeded, w=21\",\"Add (3,4)=12 Succeeded, w=33\",\"Add (3,5)=17 Failed, w=33\",\"Add (0,5)=21 Failed, w=33\",\"Add (1,2)=25 Succeeded, w=58\",\"Add (2,4)=27 Failed, w=58\",\"Add (1,5)=32 Failed, w=58\",\"Add (2,6)=32 Failed, w=58\",\"Add (0,4)=51 Failed, w=58\",\"Add (2,3)=53 Failed, w=58\",\"Add (1,4)=54 Failed, w=58\",\"Add (1,6)=58 Failed, w=58\",\"Add (0,2)=61 Failed, w=58\",\"Add (1,3)=67 Failed, w=58\",\"Add (3,6)=72 Failed, w=58\",\"Add (2,5)=79 Failed, w=58\",\"Add (4,6)=93 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,61],[0,4,51],[0,5,21],[0,6,7],[1,2,25],[1,3,67],[1,4,54],[1,5,32],[1,6,58],[2,3,53],[2,4,27],[2,5,79],[2,6,32],[3,4,12],[3,5,17],[3,6,72],[4,5,2],[4,6,93],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(0,1)=5,(0,6)=7,(5,6)=7,(3,4)=12,(3,5)=17,(0,5)=21,(1,2)=25,(2,4)=27,(1,5)=32,(2,6)=32,(0,4)=51,(2,3)=53,(1,4)=54,(1,6)=58,(0,2)=61,(1,3)=67,(3,6)=72,(2,5)=79,(4,6)=93]\",\"Process\":[\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=14\",\"Find(5)=4, Find(6)=0, Add (5,6)=7 Succeeded, w=21\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=33\",\"Find(3)=4, Find(5)=4, Add (3,5)=17 Failed, w=33\",\"Find(0)=4, Find(5)=4, Add (0,5)=21 Failed, w=33\",\"Find(1)=4, Find(2)=2, Add (1,2)=25 Succeeded, w=58\",\"Find(2)=4, Find(4)=4, Add (2,4)=27 Failed, w=58\",\"Find(1)=4, Find(5)=4, Add (1,5)=32 Failed, w=58\",\"Find(2)=4, Find(6)=4, Add (2,6)=32 Failed, w=58\",\"Find(0)=4, Find(4)=4, Add (0,4)=51 Failed, w=58\",\"Find(2)=4, Find(3)=4, Add (2,3)=53 Failed, w=58\",\"Find(1)=4, Find(4)=4, Add (1,4)=54 Failed, w=58\",\"Find(1)=4, Find(6)=4, Add (1,6)=58 Failed, w=58\",\"Find(0)=4, Find(2)=4, Add (0,2)=61 Failed, w=58\",\"Find(1)=4, Find(3)=4, Add (1,3)=67 Failed, w=58\",\"Find(3)=4, Find(6)=4, Add (3,6)=72 Failed, w=58\",\"Find(2)=4, Find(5)=4, Add (2,5)=79 Failed, w=58\",\"Find(4)=4, Find(6)=4, Add (4,6)=93 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,61],[0,4,51],[0,5,21],[0,6,7],[1,2,25],[1,3,67],[1,4,54],[1,5,32],[1,6,58],[2,3,53],[2,4,27],[2,5,79],[2,6,32],[3,4,12],[3,5,17],[3,6,72],[4,5,2],[4,6,93],[5,6,7]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,5)=2,(0,1)=5,(0,6)=7,(5,6)=7,(3,4)=12,(3,5)=17,(0,5)=21,(1,2)=25,(2,4)=27,(1,5)=32,(2,6)=32,(0,4)=51,(2,3)=53,(1,4)=54,(1,6)=58,(0,2)=61,(1,3)=67,(3,6)=72,(2,5)=79,(4,6)=93]\",\"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)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=7 Succeeded, w=14\",\"Parent: {0: 4, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0}, Find(5)=4, Find(6)=0, Add (5,6)=7 Succeeded, w=21\",\"Parent: {0: 4, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4, 6: 0}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=33\",\"Parent: {0: 4, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4, 6: 0}, Find(3)=4, Find(5)=4, Add (3,5)=17 Failed, w=33\",\"Parent: {0: 4, 1: 0, 2: 2, 3: 4, 4: 4, 5: 4, 6: 0}, Find(0)=4, Find(5)=4, Add (0,5)=21 Failed, w=33\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(1)=4, Find(2)=2, Add (1,2)=25 Succeeded, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(2)=4, Find(4)=4, Add (2,4)=27 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(1)=4, Find(5)=4, Add (1,5)=32 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=32 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=51 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=53 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=54 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=58 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=61 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=67 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=72 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=79 Failed, w=58\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=93 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,81],[0,2,26],[1,3,53],[2,3,81]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,1)\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26, w=26\",\"Add (1,3)=53, w=79\",\"Add (0,1)=81, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=26 Succeeded, w=26\",\"Add (1,3)=53 Succeeded, w=79\",\"Add (0,1)=81 Succeeded, w=160\",\"Add (2,3)=81 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(1,3)=53,(0,1)=81,(2,3)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=79\",\"Find(0)=0, Find(1)=1, Add (0,1)=81 Succeeded, w=160\",\"Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,26],[1,3,53],[2,3,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=26,(1,3)=53,(0,1)=81,(2,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=53 Succeeded, w=79\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(1)=1, Add (0,1)=81 Succeeded, w=160\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=81 Failed, w=160\"],\"Answer\":160}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,86],[0,2,5],[0,3,6],[0,4,85],[0,5,35],[0,6,36],[1,2,83],[1,3,18],[1,4,41],[1,5,41],[1,6,79],[2,3,69],[2,4,81],[2,5,7],[2,6,47],[3,4,15],[3,5,39],[3,6,32],[4,5,40],[4,6,72],[5,6,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,5],[0,3,6],[0,4,85],[0,5,35],[0,6,36],[1,2,83],[1,3,18],[1,4,41],[1,5,41],[1,6,79],[2,3,69],[2,4,81],[2,5,7],[2,6,47],[3,4,15],[3,5,39],[3,6,32],[4,5,40],[4,6,72],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,5],[0,3,6],[0,4,85],[0,5,35],[0,6,36],[1,2,83],[1,3,18],[1,4,41],[1,5,41],[1,6,79],[2,3,69],[2,4,81],[2,5,7],[2,6,47],[3,4,15],[3,5,39],[3,6,32],[4,5,40],[4,6,72],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (3,6)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,5],[0,3,6],[0,4,85],[0,5,35],[0,6,36],[1,2,83],[1,3,18],[1,4,41],[1,5,41],[1,6,79],[2,3,69],[2,4,81],[2,5,7],[2,6,47],[3,4,15],[3,5,39],[3,6,32],[4,5,40],[4,6,72],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5, w=5\",\"Add (0,3)=6, w=11\",\"Add (2,5)=7, w=18\",\"Add (3,4)=15, w=33\",\"Add (1,3)=18, w=51\",\"Add (3,6)=32, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,5],[0,3,6],[0,4,85],[0,5,35],[0,6,36],[1,2,83],[1,3,18],[1,4,41],[1,5,41],[1,6,79],[2,3,69],[2,4,81],[2,5,7],[2,6,47],[3,4,15],[3,5,39],[3,6,32],[4,5,40],[4,6,72],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=5 Succeeded, w=5\",\"Add (0,3)=6 Succeeded, w=11\",\"Add (2,5)=7 Succeeded, w=18\",\"Add (3,4)=15 Succeeded, w=33\",\"Add (1,3)=18 Succeeded, w=51\",\"Add (3,6)=32 Succeeded, w=83\",\"Add (5,6)=33 Failed, w=83\",\"Add (0,5)=35 Failed, w=83\",\"Add (0,6)=36 Failed, w=83\",\"Add (3,5)=39 Failed, w=83\",\"Add (4,5)=40 Failed, w=83\",\"Add (1,4)=41 Failed, w=83\",\"Add (1,5)=41 Failed, w=83\",\"Add (2,6)=47 Failed, w=83\",\"Add (2,3)=69 Failed, w=83\",\"Add (4,6)=72 Failed, w=83\",\"Add (1,6)=79 Failed, w=83\",\"Add (2,4)=81 Failed, w=83\",\"Add (1,2)=83 Failed, w=83\",\"Add (0,4)=85 Failed, w=83\",\"Add (0,1)=86 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,5],[0,3,6],[0,4,85],[0,5,35],[0,6,36],[1,2,83],[1,3,18],[1,4,41],[1,5,41],[1,6,79],[2,3,69],[2,4,81],[2,5,7],[2,6,47],[3,4,15],[3,5,39],[3,6,32],[4,5,40],[4,6,72],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,3)=6,(2,5)=7,(3,4)=15,(1,3)=18,(3,6)=32,(5,6)=33,(0,5)=35,(0,6)=36,(3,5)=39,(4,5)=40,(1,4)=41,(1,5)=41,(2,6)=47,(2,3)=69,(4,6)=72,(1,6)=79,(2,4)=81,(1,2)=83,(0,4)=85,(0,1)=86]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=11\",\"Find(2)=0, Find(5)=5, Add (2,5)=7 Succeeded, w=18\",\"Find(3)=0, Find(4)=4, Add (3,4)=15 Succeeded, w=33\",\"Find(1)=1, Find(3)=0, Add (1,3)=18 Succeeded, w=51\",\"Find(3)=0, Find(6)=6, Add (3,6)=32 Succeeded, w=83\",\"Find(5)=0, Find(6)=0, Add (5,6)=33 Failed, w=83\",\"Find(0)=0, Find(5)=0, Add (0,5)=35 Failed, w=83\",\"Find(0)=0, Find(6)=0, Add (0,6)=36 Failed, w=83\",\"Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=83\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=83\",\"Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=83\",\"Find(2)=0, Find(6)=0, Add (2,6)=47 Failed, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=83\",\"Find(4)=0, Find(6)=0, Add (4,6)=72 Failed, w=83\",\"Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=83\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=83\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=83\",\"Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=83\",\"Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,86],[0,2,5],[0,3,6],[0,4,85],[0,5,35],[0,6,36],[1,2,83],[1,3,18],[1,4,41],[1,5,41],[1,6,79],[2,3,69],[2,4,81],[2,5,7],[2,6,47],[3,4,15],[3,5,39],[3,6,32],[4,5,40],[4,6,72],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=5,(0,3)=6,(2,5)=7,(3,4)=15,(1,3)=18,(3,6)=32,(5,6)=33,(0,5)=35,(0,6)=36,(3,5)=39,(4,5)=40,(1,4)=41,(1,5)=41,(2,6)=47,(2,3)=69,(4,6)=72,(1,6)=79,(2,4)=81,(1,2)=83,(0,4)=85,(0,1)=86]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(5)=5, Add (2,5)=7 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(3)=0, Find(4)=4, Add (3,4)=15 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=18 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=32 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=33 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=35 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=36 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=41 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=47 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=69 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=72 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=79 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=85 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=86 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,36],[0,2,100],[0,3,93],[1,2,46],[1,3,87],[1,4,35],[2,3,57],[2,4,39],[3,4,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,100],[0,3,93],[1,2,46],[1,3,87],[1,4,35],[2,3,57],[2,4,39],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,100],[0,3,93],[1,2,46],[1,3,87],[1,4,35],[2,3,57],[2,4,39],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,100],[0,3,93],[1,2,46],[1,3,87],[1,4,35],[2,3,57],[2,4,39],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (1,4)=35, w=36\",\"Add (0,1)=36, w=72\",\"Add (2,4)=39, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,100],[0,3,93],[1,2,46],[1,3,87],[1,4,35],[2,3,57],[2,4,39],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (1,4)=35 Succeeded, w=36\",\"Add (0,1)=36 Succeeded, w=72\",\"Add (2,4)=39 Succeeded, w=111\",\"Add (1,2)=46 Failed, w=111\",\"Add (2,3)=57 Failed, w=111\",\"Add (1,3)=87 Failed, w=111\",\"Add (0,3)=93 Failed, w=111\",\"Add (0,2)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,100],[0,3,93],[1,2,46],[1,3,87],[1,4,35],[2,3,57],[2,4,39],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,4)=35,(0,1)=36,(2,4)=39,(1,2)=46,(2,3)=57,(1,3)=87,(0,3)=93,(0,2)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=3, Add (1,4)=35 Succeeded, w=36\",\"Find(0)=0, Find(1)=3, Add (0,1)=36 Succeeded, w=72\",\"Find(2)=2, Find(4)=3, Add (2,4)=39 Succeeded, w=111\",\"Find(1)=3, Find(2)=3, Add (1,2)=46 Failed, w=111\",\"Find(2)=3, Find(3)=3, Add (2,3)=57 Failed, w=111\",\"Find(1)=3, Find(3)=3, Add (1,3)=87 Failed, w=111\",\"Find(0)=3, Find(3)=3, Add (0,3)=93 Failed, w=111\",\"Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,36],[0,2,100],[0,3,93],[1,2,46],[1,3,87],[1,4,35],[2,3,57],[2,4,39],[3,4,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(1,4)=35,(0,1)=36,(2,4)=39,(1,2)=46,(2,3)=57,(1,3)=87,(0,3)=93,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=35 Succeeded, w=36\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(1)=3, Add (0,1)=36 Succeeded, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=39 Succeeded, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=46 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=57 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=87 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=93 Failed, w=111\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,100],[0,3,65],[1,2,65],[1,3,40],[1,4,76],[3,4,19]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,100],[0,3,65],[1,2,65],[1,3,40],[1,4,76],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,100],[0,3,65],[1,2,65],[1,3,40],[1,4,76],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,100],[0,3,65],[1,2,65],[1,3,40],[1,4,76],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=19, w=19\",\"Add (1,3)=40, w=59\",\"Add (0,3)=65, w=124\",\"Add (1,2)=65, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,100],[0,3,65],[1,2,65],[1,3,40],[1,4,76],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=19 Succeeded, w=19\",\"Add (1,3)=40 Succeeded, w=59\",\"Add (0,3)=65 Succeeded, w=124\",\"Add (1,2)=65 Succeeded, w=189\",\"Add (1,4)=76 Failed, w=189\",\"Add (0,2)=100 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,100],[0,3,65],[1,2,65],[1,3,40],[1,4,76],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=19,(1,3)=40,(0,3)=65,(1,2)=65,(1,4)=76,(0,2)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=19\",\"Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=59\",\"Find(0)=0, Find(3)=3, Add (0,3)=65 Succeeded, w=124\",\"Find(1)=3, Find(2)=2, Add (1,2)=65 Succeeded, w=189\",\"Find(1)=3, Find(4)=3, Add (1,4)=76 Failed, w=189\",\"Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,100],[0,3,65],[1,2,65],[1,3,40],[1,4,76],[3,4,19]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=19,(1,3)=40,(0,3)=65,(1,2)=65,(1,4)=76,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=40 Succeeded, w=59\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=65 Succeeded, w=124\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=2, Add (1,2)=65 Succeeded, w=189\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=76 Failed, w=189\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=100 Failed, w=189\"],\"Answer\":189}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,37],[0,2,37],[0,3,84],[0,4,58],[0,5,73],[1,2,75],[1,3,9],[1,4,31],[1,5,59],[2,3,42],[2,4,84],[2,5,30],[3,4,47],[3,5,41],[4,5,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,37],[0,3,84],[0,4,58],[0,5,73],[1,2,75],[1,3,9],[1,4,31],[1,5,59],[2,3,42],[2,4,84],[2,5,30],[3,4,47],[3,5,41],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,37],[0,3,84],[0,4,58],[0,5,73],[1,2,75],[1,3,9],[1,4,31],[1,5,59],[2,3,42],[2,4,84],[2,5,30],[3,4,47],[3,5,41],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (1,4)\",\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,37],[0,3,84],[0,4,58],[0,5,73],[1,2,75],[1,3,9],[1,4,31],[1,5,59],[2,3,42],[2,4,84],[2,5,30],[3,4,47],[3,5,41],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (2,5)=30, w=39\",\"Add (1,4)=31, w=70\",\"Add (0,1)=37, w=107\",\"Add (0,2)=37, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,37],[0,3,84],[0,4,58],[0,5,73],[1,2,75],[1,3,9],[1,4,31],[1,5,59],[2,3,42],[2,4,84],[2,5,30],[3,4,47],[3,5,41],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (2,5)=30 Succeeded, w=39\",\"Add (1,4)=31 Succeeded, w=70\",\"Add (0,1)=37 Succeeded, w=107\",\"Add (0,2)=37 Succeeded, w=144\",\"Add (3,5)=41 Failed, w=144\",\"Add (2,3)=42 Failed, w=144\",\"Add (3,4)=47 Failed, w=144\",\"Add (4,5)=47 Failed, w=144\",\"Add (0,4)=58 Failed, w=144\",\"Add (1,5)=59 Failed, w=144\",\"Add (0,5)=73 Failed, w=144\",\"Add (1,2)=75 Failed, w=144\",\"Add (0,3)=84 Failed, w=144\",\"Add (2,4)=84 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,37],[0,3,84],[0,4,58],[0,5,73],[1,2,75],[1,3,9],[1,4,31],[1,5,59],[2,3,42],[2,4,84],[2,5,30],[3,4,47],[3,5,41],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(2,5)=30,(1,4)=31,(0,1)=37,(0,2)=37,(3,5)=41,(2,3)=42,(3,4)=47,(4,5)=47,(0,4)=58,(1,5)=59,(0,5)=73,(1,2)=75,(0,3)=84,(2,4)=84]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=39\",\"Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=70\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=107\",\"Find(0)=1, Find(2)=2, Add (0,2)=37 Succeeded, w=144\",\"Find(3)=1, Find(5)=1, Add (3,5)=41 Failed, w=144\",\"Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=144\",\"Find(3)=1, Find(4)=1, Add (3,4)=47 Failed, w=144\",\"Find(4)=1, Find(5)=1, Add (4,5)=47 Failed, w=144\",\"Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=144\",\"Find(1)=1, Find(5)=1, Add (1,5)=59 Failed, w=144\",\"Find(0)=1, Find(5)=1, Add (0,5)=73 Failed, w=144\",\"Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=144\",\"Find(0)=1, Find(3)=1, Add (0,3)=84 Failed, w=144\",\"Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,37],[0,2,37],[0,3,84],[0,4,58],[0,5,73],[1,2,75],[1,3,9],[1,4,31],[1,5,59],[2,3,42],[2,4,84],[2,5,30],[3,4,47],[3,5,41],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(2,5)=30,(1,4)=31,(0,1)=37,(0,2)=37,(3,5)=41,(2,3)=42,(3,4)=47,(4,5)=47,(0,4)=58,(1,5)=59,(0,5)=73,(1,2)=75,(0,3)=84,(2,4)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=30 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(4)=4, Add (1,4)=31 Succeeded, w=70\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(0)=1, Find(2)=2, Add (0,2)=37 Succeeded, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=41 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=42 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=47 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=47 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=59 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=73 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=75 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=84 Failed, w=144\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=84 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,65],[0,2,48],[0,3,60],[0,4,18],[1,2,79],[1,3,7],[1,4,32],[2,3,1],[2,4,27],[3,4,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,48],[0,3,60],[0,4,18],[1,2,79],[1,3,7],[1,4,32],[2,3,1],[2,4,27],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,48],[0,3,60],[0,4,18],[1,2,79],[1,3,7],[1,4,32],[2,3,1],[2,4,27],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (2,4)\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,48],[0,3,60],[0,4,18],[1,2,79],[1,3,7],[1,4,32],[2,3,1],[2,4,27],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (1,3)=7, w=8\",\"Add (0,4)=18, w=26\",\"Add (2,4)=27, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,48],[0,3,60],[0,4,18],[1,2,79],[1,3,7],[1,4,32],[2,3,1],[2,4,27],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (1,3)=7 Succeeded, w=8\",\"Add (0,4)=18 Succeeded, w=26\",\"Add (2,4)=27 Succeeded, w=53\",\"Add (1,4)=32 Failed, w=53\",\"Add (3,4)=41 Failed, w=53\",\"Add (0,2)=48 Failed, w=53\",\"Add (0,3)=60 Failed, w=53\",\"Add (0,1)=65 Failed, w=53\",\"Add (1,2)=79 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,48],[0,3,60],[0,4,18],[1,2,79],[1,3,7],[1,4,32],[2,3,1],[2,4,27],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,3)=7,(0,4)=18,(2,4)=27,(1,4)=32,(3,4)=41,(0,2)=48,(0,3)=60,(0,1)=65,(1,2)=79]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=2, Add (1,3)=7 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=26\",\"Find(2)=2, Find(4)=0, Add (2,4)=27 Succeeded, w=53\",\"Find(1)=2, Find(4)=2, Add (1,4)=32 Failed, w=53\",\"Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=53\",\"Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=53\",\"Find(0)=2, Find(3)=2, Add (0,3)=60 Failed, w=53\",\"Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=53\",\"Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,65],[0,2,48],[0,3,60],[0,4,18],[1,2,79],[1,3,7],[1,4,32],[2,3,1],[2,4,27],[3,4,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(1,3)=7,(0,4)=18,(2,4)=27,(1,4)=32,(3,4)=41,(0,2)=48,(0,3)=60,(0,1)=65,(1,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=18 Succeeded, w=26\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=27 Succeeded, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=2, Add (1,4)=32 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=41 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=48 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=60 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=65 Failed, w=53\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=79 Failed, w=53\"],\"Answer\":53}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,62],[1,2,13],[2,3,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,62],[1,2,13],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,62],[1,2,13],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,62],[1,2,13],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13, w=13\",\"Add (2,3)=54, w=67\",\"Add (0,3)=62, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,62],[1,2,13],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=13 Succeeded, w=13\",\"Add (2,3)=54 Succeeded, w=67\",\"Add (0,3)=62 Succeeded, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,62],[1,2,13],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(2,3)=54,(0,3)=62]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Find(2)=1, Find(3)=3, Add (2,3)=54 Succeeded, w=67\",\"Find(0)=0, Find(3)=1, Add (0,3)=62 Succeeded, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,62],[1,2,13],[2,3,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=13,(2,3)=54,(0,3)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=54 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=62 Succeeded, w=129\"],\"Answer\":129}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,77],[0,5,20],[0,6,73],[1,3,68],[1,4,60],[1,6,35],[2,3,10],[2,4,100],[2,5,5],[2,6,28],[3,6,27],[4,6,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,5,20],[0,6,73],[1,3,68],[1,4,60],[1,6,35],[2,3,10],[2,4,100],[2,5,5],[2,6,28],[3,6,27],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,5,20],[0,6,73],[1,3,68],[1,4,60],[1,6,35],[2,3,10],[2,4,100],[2,5,5],[2,6,28],[3,6,27],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (3,6)\",\"Add (1,6)\",\"Add (1,4)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,5,20],[0,6,73],[1,3,68],[1,4,60],[1,6,35],[2,3,10],[2,4,100],[2,5,5],[2,6,28],[3,6,27],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5, w=5\",\"Add (2,3)=10, w=15\",\"Add (0,5)=20, w=35\",\"Add (3,6)=27, w=62\",\"Add (1,6)=35, w=97\",\"Add (1,4)=60, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,5,20],[0,6,73],[1,3,68],[1,4,60],[1,6,35],[2,3,10],[2,4,100],[2,5,5],[2,6,28],[3,6,27],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5 Succeeded, w=5\",\"Add (2,3)=10 Succeeded, w=15\",\"Add (0,5)=20 Succeeded, w=35\",\"Add (3,6)=27 Succeeded, w=62\",\"Add (2,6)=28 Failed, w=62\",\"Add (1,6)=35 Succeeded, w=97\",\"Add (1,4)=60 Succeeded, w=157\",\"Add (1,3)=68 Failed, w=157\",\"Add (0,6)=73 Failed, w=157\",\"Add (0,1)=77 Failed, w=157\",\"Add (4,6)=99 Failed, w=157\",\"Add (2,4)=100 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,5,20],[0,6,73],[1,3,68],[1,4,60],[1,6,35],[2,3,10],[2,4,100],[2,5,5],[2,6,28],[3,6,27],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(2,3)=10,(0,5)=20,(3,6)=27,(2,6)=28,(1,6)=35,(1,4)=60,(1,3)=68,(0,6)=73,(0,1)=77,(4,6)=99,(2,4)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=15\",\"Find(0)=0, Find(5)=2, Add (0,5)=20 Succeeded, w=35\",\"Find(3)=2, Find(6)=6, Add (3,6)=27 Succeeded, w=62\",\"Find(2)=2, Find(6)=2, Add (2,6)=28 Failed, w=62\",\"Find(1)=1, Find(6)=2, Add (1,6)=35 Succeeded, w=97\",\"Find(1)=2, Find(4)=4, Add (1,4)=60 Succeeded, w=157\",\"Find(1)=2, Find(3)=2, Add (1,3)=68 Failed, w=157\",\"Find(0)=2, Find(6)=2, Add (0,6)=73 Failed, w=157\",\"Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=157\",\"Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=157\",\"Find(2)=2, Find(4)=2, Add (2,4)=100 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,5,20],[0,6,73],[1,3,68],[1,4,60],[1,6,35],[2,3,10],[2,4,100],[2,5,5],[2,6,28],[3,6,27],[4,6,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(2,3)=10,(0,5)=20,(3,6)=27,(2,6)=28,(1,6)=35,(1,4)=60,(1,3)=68,(0,6)=73,(0,1)=77,(4,6)=99,(2,4)=100]\",\"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)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=10 Succeeded, w=15\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(5)=2, Add (0,5)=20 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=27 Succeeded, w=62\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=28 Failed, w=62\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=35 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=4, Add (1,4)=60 Succeeded, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=68 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=73 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=157\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=100 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,2,52],[0,3,14],[0,4,63],[1,3,78],[1,4,71],[1,5,30],[2,3,62],[2,4,48],[3,4,91],[3,5,73]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,52],[0,3,14],[0,4,63],[1,3,78],[1,4,71],[1,5,30],[2,3,62],[2,4,48],[3,4,91],[3,5,73]]}",
"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],\"edges\":[[0,1,58],[0,2,52],[0,3,14],[0,4,63],[1,3,78],[1,4,71],[1,5,30],[2,3,62],[2,4,48],[3,4,91],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,5)\",\"Add (2,4)\",\"Add (0,2)\",\"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],\"edges\":[[0,1,58],[0,2,52],[0,3,14],[0,4,63],[1,3,78],[1,4,71],[1,5,30],[2,3,62],[2,4,48],[3,4,91],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14, w=14\",\"Add (1,5)=30, w=44\",\"Add (2,4)=48, w=92\",\"Add (0,2)=52, 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],\"edges\":[[0,1,58],[0,2,52],[0,3,14],[0,4,63],[1,3,78],[1,4,71],[1,5,30],[2,3,62],[2,4,48],[3,4,91],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=14 Succeeded, w=14\",\"Add (1,5)=30 Succeeded, w=44\",\"Add (2,4)=48 Succeeded, w=92\",\"Add (0,2)=52 Succeeded, w=144\",\"Add (0,1)=58 Succeeded, w=202\",\"Add (2,3)=62 Failed, w=202\",\"Add (0,4)=63 Failed, w=202\",\"Add (1,4)=71 Failed, w=202\",\"Add (3,5)=73 Failed, w=202\",\"Add (1,3)=78 Failed, w=202\",\"Add (3,4)=91 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],\"edges\":[[0,1,58],[0,2,52],[0,3,14],[0,4,63],[1,3,78],[1,4,71],[1,5,30],[2,3,62],[2,4,48],[3,4,91],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(1,5)=30,(2,4)=48,(0,2)=52,(0,1)=58,(2,3)=62,(0,4)=63,(1,4)=71,(3,5)=73,(1,3)=78,(3,4)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=44\",\"Find(2)=2, Find(4)=4, Add (2,4)=48 Succeeded, w=92\",\"Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=144\",\"Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=202\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=202\",\"Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=202\",\"Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=202\",\"Find(3)=0, Find(5)=0, Add (3,5)=73 Failed, w=202\",\"Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=202\",\"Find(3)=0, Find(4)=0, Add (3,4)=91 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],\"edges\":[[0,1,58],[0,2,52],[0,3,14],[0,4,63],[1,3,78],[1,4,71],[1,5,30],[2,3,62],[2,4,48],[3,4,91],[3,5,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=14,(1,5)=30,(2,4)=48,(0,2)=52,(0,1)=58,(2,3)=62,(0,4)=63,(1,4)=71,(3,5)=73,(1,3)=78,(3,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=30 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 1}, Find(2)=2, Find(4)=4, Add (2,4)=48 Succeeded, w=92\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=52 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 1}, Find(0)=0, Find(1)=1, Add (0,1)=58 Succeeded, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(0)=0, Find(4)=0, Add (0,4)=63 Failed, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(1)=0, Find(4)=0, Add (1,4)=71 Failed, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=73 Failed, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=78 Failed, w=202\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=91 Failed, w=202\"],\"Answer\":202}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,23],[0,5,58],[0,6,27],[1,3,26],[1,5,58],[2,5,20],[3,5,60],[4,6,55]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,23],[0,5,58],[0,6,27],[1,3,26],[1,5,58],[2,5,20],[3,5,60],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,23],[0,5,58],[0,6,27],[1,3,26],[1,5,58],[2,5,20],[3,5,60],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (0,5)\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,23],[0,5,58],[0,6,27],[1,3,26],[1,5,58],[2,5,20],[3,5,60],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=20, w=20\",\"Add (0,3)=23, w=43\",\"Add (1,3)=26, w=69\",\"Add (0,6)=27, w=96\",\"Add (4,6)=55, w=151\",\"Add (0,5)=58, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,23],[0,5,58],[0,6,27],[1,3,26],[1,5,58],[2,5,20],[3,5,60],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=20 Succeeded, w=20\",\"Add (0,3)=23 Succeeded, w=43\",\"Add (1,3)=26 Succeeded, w=69\",\"Add (0,6)=27 Succeeded, w=96\",\"Add (4,6)=55 Succeeded, w=151\",\"Add (0,5)=58 Succeeded, w=209\",\"Add (1,5)=58 Failed, w=209\",\"Add (3,5)=60 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,23],[0,5,58],[0,6,27],[1,3,26],[1,5,58],[2,5,20],[3,5,60],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=20,(0,3)=23,(1,3)=26,(0,6)=27,(4,6)=55,(0,5)=58,(1,5)=58,(3,5)=60]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=20 Succeeded, w=20\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=43\",\"Find(1)=1, Find(3)=0, Add (1,3)=26 Succeeded, w=69\",\"Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=96\",\"Find(4)=4, Find(6)=0, Add (4,6)=55 Succeeded, w=151\",\"Find(0)=0, Find(5)=2, Add (0,5)=58 Succeeded, w=209\",\"Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=209\",\"Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,23],[0,5,58],[0,6,27],[1,3,26],[1,5,58],[2,5,20],[3,5,60],[4,6,55]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=20,(0,3)=23,(1,3)=26,(0,6)=27,(4,6)=55,(0,5)=58,(1,5)=58,(3,5)=60]\",\"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)=20 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=26 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=27 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 2, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=55 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(0)=0, Find(5)=2, Add (0,5)=58 Succeeded, w=209\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=58 Failed, w=209\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=209\"],\"Answer\":209}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,20],[0,2,56],[0,3,92],[0,5,52],[0,6,44],[1,2,3],[1,3,41],[1,4,74],[1,5,19],[1,6,75],[2,3,38],[2,6,29],[3,4,24],[3,5,97],[3,6,88],[4,5,80],[4,6,88],[5,6,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,56],[0,3,92],[0,5,52],[0,6,44],[1,2,3],[1,3,41],[1,4,74],[1,5,19],[1,6,75],[2,3,38],[2,6,29],[3,4,24],[3,5,97],[3,6,88],[4,5,80],[4,6,88],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,56],[0,3,92],[0,5,52],[0,6,44],[1,2,3],[1,3,41],[1,4,74],[1,5,19],[1,6,75],[2,3,38],[2,6,29],[3,4,24],[3,5,97],[3,6,88],[4,5,80],[4,6,88],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,5)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (2,6)\",\"Add (2,3)\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,56],[0,3,92],[0,5,52],[0,6,44],[1,2,3],[1,3,41],[1,4,74],[1,5,19],[1,6,75],[2,3,38],[2,6,29],[3,4,24],[3,5,97],[3,6,88],[4,5,80],[4,6,88],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (1,5)=19, w=22\",\"Add (0,1)=20, w=42\",\"Add (3,4)=24, w=66\",\"Add (2,6)=29, w=95\",\"Add (2,3)=38, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,56],[0,3,92],[0,5,52],[0,6,44],[1,2,3],[1,3,41],[1,4,74],[1,5,19],[1,6,75],[2,3,38],[2,6,29],[3,4,24],[3,5,97],[3,6,88],[4,5,80],[4,6,88],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (1,5)=19 Succeeded, w=22\",\"Add (0,1)=20 Succeeded, w=42\",\"Add (3,4)=24 Succeeded, w=66\",\"Add (2,6)=29 Succeeded, w=95\",\"Add (2,3)=38 Succeeded, w=133\",\"Add (1,3)=41 Failed, w=133\",\"Add (0,6)=44 Failed, w=133\",\"Add (5,6)=50 Failed, w=133\",\"Add (0,5)=52 Failed, w=133\",\"Add (0,2)=56 Failed, w=133\",\"Add (1,4)=74 Failed, w=133\",\"Add (1,6)=75 Failed, w=133\",\"Add (4,5)=80 Failed, w=133\",\"Add (3,6)=88 Failed, w=133\",\"Add (4,6)=88 Failed, w=133\",\"Add (0,3)=92 Failed, w=133\",\"Add (3,5)=97 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,56],[0,3,92],[0,5,52],[0,6,44],[1,2,3],[1,3,41],[1,4,74],[1,5,19],[1,6,75],[2,3,38],[2,6,29],[3,4,24],[3,5,97],[3,6,88],[4,5,80],[4,6,88],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,5)=19,(0,1)=20,(3,4)=24,(2,6)=29,(2,3)=38,(1,3)=41,(0,6)=44,(5,6)=50,(0,5)=52,(0,2)=56,(1,4)=74,(1,6)=75,(4,5)=80,(3,6)=88,(4,6)=88,(0,3)=92,(3,5)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(5)=5, Add (1,5)=19 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=42\",\"Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=66\",\"Find(2)=1, Find(6)=6, Add (2,6)=29 Succeeded, w=95\",\"Find(2)=1, Find(3)=3, Add (2,3)=38 Succeeded, w=133\",\"Find(1)=1, Find(3)=1, Add (1,3)=41 Failed, w=133\",\"Find(0)=1, Find(6)=1, Add (0,6)=44 Failed, w=133\",\"Find(5)=1, Find(6)=1, Add (5,6)=50 Failed, w=133\",\"Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=133\",\"Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=133\",\"Find(1)=1, Find(4)=1, Add (1,4)=74 Failed, w=133\",\"Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=133\",\"Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=133\",\"Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=133\",\"Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=133\",\"Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=133\",\"Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,20],[0,2,56],[0,3,92],[0,5,52],[0,6,44],[1,2,3],[1,3,41],[1,4,74],[1,5,19],[1,6,75],[2,3,38],[2,6,29],[3,4,24],[3,5,97],[3,6,88],[4,5,80],[4,6,88],[5,6,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(1,5)=19,(0,1)=20,(3,4)=24,(2,6)=29,(2,3)=38,(1,3)=41,(0,6)=44,(5,6)=50,(0,5)=52,(0,2)=56,(1,4)=74,(1,6)=75,(4,5)=80,(3,6)=88,(4,6)=88,(0,3)=92,(3,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=19 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=20 Succeeded, w=42\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=24 Succeeded, w=66\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 3, 5: 1, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=29 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(2)=1, Find(3)=3, Add (2,3)=38 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=41 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=44 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=50 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 3, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=56 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=74 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=80 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=88 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=92 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=97 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,87],[0,3,85],[0,4,8],[0,5,21],[0,7,95],[1,2,70],[1,3,56],[1,4,30],[1,5,95],[1,7,19],[2,3,17],[2,4,9],[2,5,86],[2,6,94],[2,7,42],[3,5,75],[4,5,18],[4,7,85],[5,6,64],[5,7,25],[6,7,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,85],[0,4,8],[0,5,21],[0,7,95],[1,2,70],[1,3,56],[1,4,30],[1,5,95],[1,7,19],[2,3,17],[2,4,9],[2,5,86],[2,6,94],[2,7,42],[3,5,75],[4,5,18],[4,7,85],[5,6,64],[5,7,25],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,85],[0,4,8],[0,5,21],[0,7,95],[1,2,70],[1,3,56],[1,4,30],[1,5,95],[1,7,19],[2,3,17],[2,4,9],[2,5,86],[2,6,94],[2,7,42],[3,5,75],[4,5,18],[4,7,85],[5,6,64],[5,7,25],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (1,7)\",\"Add (5,7)\",\"Add (6,7)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,85],[0,4,8],[0,5,21],[0,7,95],[1,2,70],[1,3,56],[1,4,30],[1,5,95],[1,7,19],[2,3,17],[2,4,9],[2,5,86],[2,6,94],[2,7,42],[3,5,75],[4,5,18],[4,7,85],[5,6,64],[5,7,25],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8, w=8\",\"Add (2,4)=9, w=17\",\"Add (2,3)=17, w=34\",\"Add (4,5)=18, w=52\",\"Add (1,7)=19, w=71\",\"Add (5,7)=25, w=96\",\"Add (6,7)=32, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,85],[0,4,8],[0,5,21],[0,7,95],[1,2,70],[1,3,56],[1,4,30],[1,5,95],[1,7,19],[2,3,17],[2,4,9],[2,5,86],[2,6,94],[2,7,42],[3,5,75],[4,5,18],[4,7,85],[5,6,64],[5,7,25],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=8 Succeeded, w=8\",\"Add (2,4)=9 Succeeded, w=17\",\"Add (2,3)=17 Succeeded, w=34\",\"Add (4,5)=18 Succeeded, w=52\",\"Add (1,7)=19 Succeeded, w=71\",\"Add (0,5)=21 Failed, w=71\",\"Add (5,7)=25 Succeeded, w=96\",\"Add (1,4)=30 Failed, w=96\",\"Add (6,7)=32 Succeeded, w=128\",\"Add (2,7)=42 Failed, w=128\",\"Add (1,3)=56 Failed, w=128\",\"Add (5,6)=64 Failed, w=128\",\"Add (1,2)=70 Failed, w=128\",\"Add (3,5)=75 Failed, w=128\",\"Add (0,3)=85 Failed, w=128\",\"Add (4,7)=85 Failed, w=128\",\"Add (2,5)=86 Failed, w=128\",\"Add (0,2)=87 Failed, w=128\",\"Add (2,6)=94 Failed, w=128\",\"Add (0,7)=95 Failed, w=128\",\"Add (1,5)=95 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,85],[0,4,8],[0,5,21],[0,7,95],[1,2,70],[1,3,56],[1,4,30],[1,5,95],[1,7,19],[2,3,17],[2,4,9],[2,5,86],[2,6,94],[2,7,42],[3,5,75],[4,5,18],[4,7,85],[5,6,64],[5,7,25],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(2,4)=9,(2,3)=17,(4,5)=18,(1,7)=19,(0,5)=21,(5,7)=25,(1,4)=30,(6,7)=32,(2,7)=42,(1,3)=56,(5,6)=64,(1,2)=70,(3,5)=75,(0,3)=85,(4,7)=85,(2,5)=86,(0,2)=87,(2,6)=94,(0,7)=95,(1,5)=95]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(4)=0, Add (2,4)=9 Succeeded, w=17\",\"Find(2)=0, Find(3)=3, Add (2,3)=17 Succeeded, w=34\",\"Find(4)=0, Find(5)=5, Add (4,5)=18 Succeeded, w=52\",\"Find(1)=1, Find(7)=7, Add (1,7)=19 Succeeded, w=71\",\"Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=71\",\"Find(5)=0, Find(7)=1, Add (5,7)=25 Succeeded, w=96\",\"Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=96\",\"Find(6)=6, Find(7)=0, Add (6,7)=32 Succeeded, w=128\",\"Find(2)=0, Find(7)=0, Add (2,7)=42 Failed, w=128\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=128\",\"Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=128\",\"Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=128\",\"Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=128\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=128\",\"Find(4)=0, Find(7)=0, Add (4,7)=85 Failed, w=128\",\"Find(2)=0, Find(5)=0, Add (2,5)=86 Failed, w=128\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=128\",\"Find(2)=0, Find(6)=0, Add (2,6)=94 Failed, w=128\",\"Find(0)=0, Find(7)=0, Add (0,7)=95 Failed, w=128\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,87],[0,3,85],[0,4,8],[0,5,21],[0,7,95],[1,2,70],[1,3,56],[1,4,30],[1,5,95],[1,7,19],[2,3,17],[2,4,9],[2,5,86],[2,6,94],[2,7,42],[3,5,75],[4,5,18],[4,7,85],[5,6,64],[5,7,25],[6,7,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=8,(2,4)=9,(2,3)=17,(4,5)=18,(1,7)=19,(0,5)=21,(5,7)=25,(1,4)=30,(6,7)=32,(2,7)=42,(1,3)=56,(5,6)=64,(1,2)=70,(3,5)=75,(0,3)=85,(4,7)=85,(2,5)=86,(0,2)=87,(2,6)=94,(0,7)=95,(1,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=0, Add (2,4)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(2)=0, Find(3)=3, Add (2,3)=17 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 7}, Find(4)=0, Find(5)=5, Add (4,5)=18 Succeeded, w=52\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=19 Succeeded, w=71\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 1}, Find(0)=0, Find(5)=0, Add (0,5)=21 Failed, w=71\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 1}, Find(5)=0, Find(7)=1, Add (5,7)=25 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 1}, Find(1)=0, Find(4)=0, Add (1,4)=30 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=6, Find(7)=0, Add (6,7)=32 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=42 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=64 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=70 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=128\",\"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)=85 Failed, w=128\",\"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)=86 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=94 Failed, w=128\",\"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)=95 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,91],[0,5,36],[0,6,79],[0,7,46],[1,2,54],[1,3,95],[1,4,3],[2,3,21],[2,5,18],[2,6,90],[3,4,25],[3,6,70],[4,6,23],[4,7,41],[5,6,13],[5,7,68],[6,7,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,5,36],[0,6,79],[0,7,46],[1,2,54],[1,3,95],[1,4,3],[2,3,21],[2,5,18],[2,6,90],[3,4,25],[3,6,70],[4,6,23],[4,7,41],[5,6,13],[5,7,68],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,5,36],[0,6,79],[0,7,46],[1,2,54],[1,3,95],[1,4,3],[2,3,21],[2,5,18],[2,6,90],[3,4,25],[3,6,70],[4,6,23],[4,7,41],[5,6,13],[5,7,68],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (2,3)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (4,7)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,5,36],[0,6,79],[0,7,46],[1,2,54],[1,3,95],[1,4,3],[2,3,21],[2,5,18],[2,6,90],[3,4,25],[3,6,70],[4,6,23],[4,7,41],[5,6,13],[5,7,68],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (5,6)=13, w=16\",\"Add (2,5)=18, w=34\",\"Add (2,3)=21, w=55\",\"Add (4,6)=23, w=78\",\"Add (0,5)=36, w=114\",\"Add (4,7)=41, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,5,36],[0,6,79],[0,7,46],[1,2,54],[1,3,95],[1,4,3],[2,3,21],[2,5,18],[2,6,90],[3,4,25],[3,6,70],[4,6,23],[4,7,41],[5,6,13],[5,7,68],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (5,6)=13 Succeeded, w=16\",\"Add (2,5)=18 Succeeded, w=34\",\"Add (2,3)=21 Succeeded, w=55\",\"Add (4,6)=23 Succeeded, w=78\",\"Add (3,4)=25 Failed, w=78\",\"Add (0,5)=36 Succeeded, w=114\",\"Add (4,7)=41 Succeeded, w=155\",\"Add (0,7)=46 Failed, w=155\",\"Add (1,2)=54 Failed, w=155\",\"Add (5,7)=68 Failed, w=155\",\"Add (3,6)=70 Failed, w=155\",\"Add (0,6)=79 Failed, w=155\",\"Add (2,6)=90 Failed, w=155\",\"Add (0,4)=91 Failed, w=155\",\"Add (1,3)=95 Failed, w=155\",\"Add (6,7)=99 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,5,36],[0,6,79],[0,7,46],[1,2,54],[1,3,95],[1,4,3],[2,3,21],[2,5,18],[2,6,90],[3,4,25],[3,6,70],[4,6,23],[4,7,41],[5,6,13],[5,7,68],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(5,6)=13,(2,5)=18,(2,3)=21,(4,6)=23,(3,4)=25,(0,5)=36,(4,7)=41,(0,7)=46,(1,2)=54,(5,7)=68,(3,6)=70,(0,6)=79,(2,6)=90,(0,4)=91,(1,3)=95,(6,7)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=16\",\"Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=34\",\"Find(2)=5, Find(3)=3, Add (2,3)=21 Succeeded, w=55\",\"Find(4)=1, Find(6)=5, Add (4,6)=23 Succeeded, w=78\",\"Find(3)=1, Find(4)=1, Add (3,4)=25 Failed, w=78\",\"Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=114\",\"Find(4)=1, Find(7)=7, Add (4,7)=41 Succeeded, w=155\",\"Find(0)=1, Find(7)=1, Add (0,7)=46 Failed, w=155\",\"Find(1)=1, Find(2)=1, Add (1,2)=54 Failed, w=155\",\"Find(5)=1, Find(7)=1, Add (5,7)=68 Failed, w=155\",\"Find(3)=1, Find(6)=1, Add (3,6)=70 Failed, w=155\",\"Find(0)=1, Find(6)=1, Add (0,6)=79 Failed, w=155\",\"Find(2)=1, Find(6)=1, Add (2,6)=90 Failed, w=155\",\"Find(0)=1, Find(4)=1, Add (0,4)=91 Failed, w=155\",\"Find(1)=1, Find(3)=1, Add (1,3)=95 Failed, w=155\",\"Find(6)=1, Find(7)=1, Add (6,7)=99 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,91],[0,5,36],[0,6,79],[0,7,46],[1,2,54],[1,3,95],[1,4,3],[2,3,21],[2,5,18],[2,6,90],[3,4,25],[3,6,70],[4,6,23],[4,7,41],[5,6,13],[5,7,68],[6,7,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(5,6)=13,(2,5)=18,(2,3)=21,(4,6)=23,(3,4)=25,(0,5)=36,(4,7)=41,(0,7)=46,(1,2)=54,(5,7)=68,(3,6)=70,(0,6)=79,(2,6)=90,(0,4)=91,(1,3)=95,(6,7)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 3, 4: 1, 5: 5, 6: 5, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 1, 5: 5, 6: 5, 7: 7}, Find(2)=5, Find(3)=3, Add (2,3)=21 Succeeded, w=55\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 5, 4: 1, 5: 1, 6: 5, 7: 7}, Find(4)=1, Find(6)=5, Add (4,6)=23 Succeeded, w=78\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 5, 7: 7}, Find(3)=1, Find(4)=1, Add (3,4)=25 Failed, w=78\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 5, 7: 7}, Find(0)=0, Find(5)=1, Add (0,5)=36 Succeeded, w=114\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=41 Succeeded, w=155\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=46 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=54 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=68 Failed, w=155\",\"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)=70 Failed, w=155\",\"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)=79 Failed, w=155\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=90 Failed, w=155\",\"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)=91 Failed, w=155\",\"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)=95 Failed, w=155\",\"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)=99 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,81],[0,3,37],[0,4,35],[1,3,1],[1,4,63],[2,3,78],[2,4,81],[3,4,68]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,3,37],[0,4,35],[1,3,1],[1,4,63],[2,3,78],[2,4,81],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,3,37],[0,4,35],[1,3,1],[1,4,63],[2,3,78],[2,4,81],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,3,37],[0,4,35],[1,3,1],[1,4,63],[2,3,78],[2,4,81],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1, w=1\",\"Add (0,4)=35, w=36\",\"Add (0,3)=37, w=73\",\"Add (2,3)=78, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,3,37],[0,4,35],[1,3,1],[1,4,63],[2,3,78],[2,4,81],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=1 Succeeded, w=1\",\"Add (0,4)=35 Succeeded, w=36\",\"Add (0,3)=37 Succeeded, w=73\",\"Add (1,4)=63 Failed, w=73\",\"Add (3,4)=68 Failed, w=73\",\"Add (2,3)=78 Succeeded, w=151\",\"Add (0,1)=81 Failed, w=151\",\"Add (2,4)=81 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,3,37],[0,4,35],[1,3,1],[1,4,63],[2,3,78],[2,4,81],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,4)=35,(0,3)=37,(1,4)=63,(3,4)=68,(2,3)=78,(0,1)=81,(2,4)=81]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=36\",\"Find(0)=0, Find(3)=1, Add (0,3)=37 Succeeded, w=73\",\"Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=73\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=73\",\"Find(2)=2, Find(3)=0, Add (2,3)=78 Succeeded, w=151\",\"Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=151\",\"Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,3,37],[0,4,35],[1,3,1],[1,4,63],[2,3,78],[2,4,81],[3,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=1,(0,4)=35,(0,3)=37,(1,4)=63,(3,4)=68,(2,3)=78,(0,1)=81,(2,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=35 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(3)=1, Add (0,3)=37 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=63 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=78 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=81 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,62],[0,2,100],[0,3,97],[0,4,67],[1,2,21],[1,3,44],[1,4,11],[2,3,0],[2,4,4],[3,4,24]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,100],[0,3,97],[0,4,67],[1,2,21],[1,3,44],[1,4,11],[2,3,0],[2,4,4],[3,4,24]]}",
"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\":[[0,1,62],[0,2,100],[0,3,97],[0,4,67],[1,2,21],[1,3,44],[1,4,11],[2,3,0],[2,4,4],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,100],[0,3,97],[0,4,67],[1,2,21],[1,3,44],[1,4,11],[2,3,0],[2,4,4],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0, w=0\",\"Add (2,4)=4, w=4\",\"Add (1,4)=11, w=15\",\"Add (0,1)=62, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,100],[0,3,97],[0,4,67],[1,2,21],[1,3,44],[1,4,11],[2,3,0],[2,4,4],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=0 Succeeded, w=0\",\"Add (2,4)=4 Succeeded, w=4\",\"Add (1,4)=11 Succeeded, w=15\",\"Add (1,2)=21 Failed, w=15\",\"Add (3,4)=24 Failed, w=15\",\"Add (1,3)=44 Failed, w=15\",\"Add (0,1)=62 Succeeded, w=77\",\"Add (0,4)=67 Failed, w=77\",\"Add (0,3)=97 Failed, w=77\",\"Add (0,2)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,100],[0,3,97],[0,4,67],[1,2,21],[1,3,44],[1,4,11],[2,3,0],[2,4,4],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=4,(1,4)=11,(1,2)=21,(3,4)=24,(1,3)=44,(0,1)=62,(0,4)=67,(0,3)=97,(0,2)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(4)=2, Add (1,4)=11 Succeeded, w=15\",\"Find(1)=2, Find(2)=2, Add (1,2)=21 Failed, w=15\",\"Find(3)=2, Find(4)=2, Add (3,4)=24 Failed, w=15\",\"Find(1)=2, Find(3)=2, Add (1,3)=44 Failed, w=15\",\"Find(0)=0, Find(1)=2, Add (0,1)=62 Succeeded, w=77\",\"Find(0)=2, Find(4)=2, Add (0,4)=67 Failed, w=77\",\"Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=77\",\"Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,62],[0,2,100],[0,3,97],[0,4,67],[1,2,21],[1,3,44],[1,4,11],[2,3,0],[2,4,4],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=0,(2,4)=4,(1,4)=11,(1,2)=21,(3,4)=24,(1,3)=44,(0,1)=62,(0,4)=67,(0,3)=97,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=21 Failed, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=24 Failed, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=44 Failed, w=15\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=62 Succeeded, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=67 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=97 Failed, w=77\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=77\"],\"Answer\":77}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,16],[0,2,74],[0,3,15],[0,4,90],[0,5,78],[0,6,37],[0,7,23],[1,2,68],[1,3,33],[1,4,100],[1,5,16],[1,6,56],[1,7,68],[2,3,52],[2,4,75],[2,5,16],[2,6,12],[2,7,5],[3,4,69],[3,5,30],[3,6,81],[3,7,71],[4,5,61],[4,6,84],[4,7,15],[5,6,62],[5,7,58],[6,7,39]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,74],[0,3,15],[0,4,90],[0,5,78],[0,6,37],[0,7,23],[1,2,68],[1,3,33],[1,4,100],[1,5,16],[1,6,56],[1,7,68],[2,3,52],[2,4,75],[2,5,16],[2,6,12],[2,7,5],[3,4,69],[3,5,30],[3,6,81],[3,7,71],[4,5,61],[4,6,84],[4,7,15],[5,6,62],[5,7,58],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,74],[0,3,15],[0,4,90],[0,5,78],[0,6,37],[0,7,23],[1,2,68],[1,3,33],[1,4,100],[1,5,16],[1,6,56],[1,7,68],[2,3,52],[2,4,75],[2,5,16],[2,6,12],[2,7,5],[3,4,69],[3,5,30],[3,6,81],[3,7,71],[4,5,61],[4,6,84],[4,7,15],[5,6,62],[5,7,58],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)\",\"Add (2,6)\",\"Add (0,3)\",\"Add (4,7)\",\"Add (0,1)\",\"Add (1,5)\",\"Add (2,5)\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,74],[0,3,15],[0,4,90],[0,5,78],[0,6,37],[0,7,23],[1,2,68],[1,3,33],[1,4,100],[1,5,16],[1,6,56],[1,7,68],[2,3,52],[2,4,75],[2,5,16],[2,6,12],[2,7,5],[3,4,69],[3,5,30],[3,6,81],[3,7,71],[4,5,61],[4,6,84],[4,7,15],[5,6,62],[5,7,58],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=5, w=5\",\"Add (2,6)=12, w=17\",\"Add (0,3)=15, w=32\",\"Add (4,7)=15, w=47\",\"Add (0,1)=16, w=63\",\"Add (1,5)=16, w=79\",\"Add (2,5)=16, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,74],[0,3,15],[0,4,90],[0,5,78],[0,6,37],[0,7,23],[1,2,68],[1,3,33],[1,4,100],[1,5,16],[1,6,56],[1,7,68],[2,3,52],[2,4,75],[2,5,16],[2,6,12],[2,7,5],[3,4,69],[3,5,30],[3,6,81],[3,7,71],[4,5,61],[4,6,84],[4,7,15],[5,6,62],[5,7,58],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,7)=5 Succeeded, w=5\",\"Add (2,6)=12 Succeeded, w=17\",\"Add (0,3)=15 Succeeded, w=32\",\"Add (4,7)=15 Succeeded, w=47\",\"Add (0,1)=16 Succeeded, w=63\",\"Add (1,5)=16 Succeeded, w=79\",\"Add (2,5)=16 Succeeded, w=95\",\"Add (0,7)=23 Failed, w=95\",\"Add (3,5)=30 Failed, w=95\",\"Add (1,3)=33 Failed, w=95\",\"Add (0,6)=37 Failed, w=95\",\"Add (6,7)=39 Failed, w=95\",\"Add (2,3)=52 Failed, w=95\",\"Add (1,6)=56 Failed, w=95\",\"Add (5,7)=58 Failed, w=95\",\"Add (4,5)=61 Failed, w=95\",\"Add (5,6)=62 Failed, w=95\",\"Add (1,2)=68 Failed, w=95\",\"Add (1,7)=68 Failed, w=95\",\"Add (3,4)=69 Failed, w=95\",\"Add (3,7)=71 Failed, w=95\",\"Add (0,2)=74 Failed, w=95\",\"Add (2,4)=75 Failed, w=95\",\"Add (0,5)=78 Failed, w=95\",\"Add (3,6)=81 Failed, w=95\",\"Add (4,6)=84 Failed, w=95\",\"Add (0,4)=90 Failed, w=95\",\"Add (1,4)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,74],[0,3,15],[0,4,90],[0,5,78],[0,6,37],[0,7,23],[1,2,68],[1,3,33],[1,4,100],[1,5,16],[1,6,56],[1,7,68],[2,3,52],[2,4,75],[2,5,16],[2,6,12],[2,7,5],[3,4,69],[3,5,30],[3,6,81],[3,7,71],[4,5,61],[4,6,84],[4,7,15],[5,6,62],[5,7,58],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=5,(2,6)=12,(0,3)=15,(4,7)=15,(0,1)=16,(1,5)=16,(2,5)=16,(0,7)=23,(3,5)=30,(1,3)=33,(0,6)=37,(6,7)=39,(2,3)=52,(1,6)=56,(5,7)=58,(4,5)=61,(5,6)=62,(1,2)=68,(1,7)=68,(3,4)=69,(3,7)=71,(0,2)=74,(2,4)=75,(0,5)=78,(3,6)=81,(4,6)=84,(0,4)=90,(1,4)=100]\",\"Process\":[\"Find(2)=2, Find(7)=7, Add (2,7)=5 Succeeded, w=5\",\"Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=17\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=32\",\"Find(4)=4, Find(7)=2, Add (4,7)=15 Succeeded, w=47\",\"Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=63\",\"Find(1)=0, Find(5)=5, Add (1,5)=16 Succeeded, w=79\",\"Find(2)=2, Find(5)=0, Add (2,5)=16 Succeeded, w=95\",\"Find(0)=2, Find(7)=2, Add (0,7)=23 Failed, w=95\",\"Find(3)=2, Find(5)=2, Add (3,5)=30 Failed, w=95\",\"Find(1)=2, Find(3)=2, Add (1,3)=33 Failed, w=95\",\"Find(0)=2, Find(6)=2, Add (0,6)=37 Failed, w=95\",\"Find(6)=2, Find(7)=2, Add (6,7)=39 Failed, w=95\",\"Find(2)=2, Find(3)=2, Add (2,3)=52 Failed, w=95\",\"Find(1)=2, Find(6)=2, Add (1,6)=56 Failed, w=95\",\"Find(5)=2, Find(7)=2, Add (5,7)=58 Failed, w=95\",\"Find(4)=2, Find(5)=2, Add (4,5)=61 Failed, w=95\",\"Find(5)=2, Find(6)=2, Add (5,6)=62 Failed, w=95\",\"Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=95\",\"Find(1)=2, Find(7)=2, Add (1,7)=68 Failed, w=95\",\"Find(3)=2, Find(4)=2, Add (3,4)=69 Failed, w=95\",\"Find(3)=2, Find(7)=2, Add (3,7)=71 Failed, w=95\",\"Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=95\",\"Find(2)=2, Find(4)=2, Add (2,4)=75 Failed, w=95\",\"Find(0)=2, Find(5)=2, Add (0,5)=78 Failed, w=95\",\"Find(3)=2, Find(6)=2, Add (3,6)=81 Failed, w=95\",\"Find(4)=2, Find(6)=2, Add (4,6)=84 Failed, w=95\",\"Find(0)=2, Find(4)=2, Add (0,4)=90 Failed, w=95\",\"Find(1)=2, Find(4)=2, Add (1,4)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,16],[0,2,74],[0,3,15],[0,4,90],[0,5,78],[0,6,37],[0,7,23],[1,2,68],[1,3,33],[1,4,100],[1,5,16],[1,6,56],[1,7,68],[2,3,52],[2,4,75],[2,5,16],[2,6,12],[2,7,5],[3,4,69],[3,5,30],[3,6,81],[3,7,71],[4,5,61],[4,6,84],[4,7,15],[5,6,62],[5,7,58],[6,7,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,7)=5,(2,6)=12,(0,3)=15,(4,7)=15,(0,1)=16,(1,5)=16,(2,5)=16,(0,7)=23,(3,5)=30,(1,3)=33,(0,6)=37,(6,7)=39,(2,3)=52,(1,6)=56,(5,7)=58,(4,5)=61,(5,6)=62,(1,2)=68,(1,7)=68,(3,4)=69,(3,7)=71,(0,2)=74,(2,4)=75,(0,5)=78,(3,6)=81,(4,6)=84,(0,4)=90,(1,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 2}, Find(2)=2, Find(7)=7, Add (2,7)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 2}, Find(2)=2, Find(6)=6, Add (2,6)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 2, 7: 2}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=32\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 2}, Find(4)=4, Find(7)=2, Add (4,7)=15 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 2, 7: 2}, Find(0)=0, Find(1)=1, Add (0,1)=16 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2, 7: 2}, Find(1)=0, Find(5)=5, Add (1,5)=16 Succeeded, w=79\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2, 7: 2}, Find(2)=2, Find(5)=0, Add (2,5)=16 Succeeded, w=95\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 0, 4: 2, 5: 0, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=23 Failed, w=95\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=30 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=33 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=37 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=39 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=52 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=56 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=58 Failed, w=95\",\"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)=61 Failed, w=95\",\"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)=62 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=95\",\"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)=68 Failed, w=95\",\"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)=69 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=71 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=74 Failed, w=95\",\"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)=75 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=78 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=81 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(6)=2, Add (4,6)=84 Failed, w=95\",\"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)=90 Failed, w=95\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=100 Failed, w=95\"],\"Answer\":95}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,35],[0,3,65],[0,4,4],[0,5,27],[1,2,20],[1,4,21],[1,5,95],[2,5,3],[3,5,100],[4,5,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,35],[0,3,65],[0,4,4],[0,5,27],[1,2,20],[1,4,21],[1,5,95],[2,5,3],[3,5,100],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,35],[0,3,65],[0,4,4],[0,5,27],[1,2,20],[1,4,21],[1,5,95],[2,5,3],[3,5,100],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (0,3)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,35],[0,3,65],[0,4,4],[0,5,27],[1,2,20],[1,4,21],[1,5,95],[2,5,3],[3,5,100],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (0,4)=4, w=7\",\"Add (1,2)=20, w=27\",\"Add (1,4)=21, w=48\",\"Add (0,3)=65, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,35],[0,3,65],[0,4,4],[0,5,27],[1,2,20],[1,4,21],[1,5,95],[2,5,3],[3,5,100],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (0,4)=4 Succeeded, w=7\",\"Add (1,2)=20 Succeeded, w=27\",\"Add (1,4)=21 Succeeded, w=48\",\"Add (0,5)=27 Failed, w=48\",\"Add (0,2)=35 Failed, w=48\",\"Add (0,1)=61 Failed, w=48\",\"Add (0,3)=65 Succeeded, w=113\",\"Add (4,5)=91 Failed, w=113\",\"Add (1,5)=95 Failed, w=113\",\"Add (3,5)=100 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,35],[0,3,65],[0,4,4],[0,5,27],[1,2,20],[1,4,21],[1,5,95],[2,5,3],[3,5,100],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,4)=4,(1,2)=20,(1,4)=21,(0,5)=27,(0,2)=35,(0,1)=61,(0,3)=65,(4,5)=91,(1,5)=95,(3,5)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=27\",\"Find(1)=2, Find(4)=0, Add (1,4)=21 Succeeded, w=48\",\"Find(0)=2, Find(5)=2, Add (0,5)=27 Failed, w=48\",\"Find(0)=2, Find(2)=2, Add (0,2)=35 Failed, w=48\",\"Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=48\",\"Find(0)=2, Find(3)=3, Add (0,3)=65 Succeeded, w=113\",\"Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=113\",\"Find(1)=2, Find(5)=2, Add (1,5)=95 Failed, w=113\",\"Find(3)=2, Find(5)=2, Add (3,5)=100 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,35],[0,3,65],[0,4,4],[0,5,27],[1,2,20],[1,4,21],[1,5,95],[2,5,3],[3,5,100],[4,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,4)=4,(1,2)=20,(1,4)=21,(0,5)=27,(0,2)=35,(0,1)=61,(0,3)=65,(4,5)=91,(1,5)=95,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=20 Succeeded, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2}, Find(1)=2, Find(4)=0, Add (1,4)=21 Succeeded, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=27 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=35 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 0, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=61 Failed, w=48\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(3)=3, Add (0,3)=65 Succeeded, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=91 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=95 Failed, w=113\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=100 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,33],[0,2,26],[0,3,91],[0,4,7],[1,2,54],[1,3,78],[1,4,20],[2,3,12],[2,4,24],[3,4,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,26],[0,3,91],[0,4,7],[1,2,54],[1,3,78],[1,4,20],[2,3,12],[2,4,24],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,26],[0,3,91],[0,4,7],[1,2,54],[1,3,78],[1,4,20],[2,3,12],[2,4,24],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (2,4)\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,26],[0,3,91],[0,4,7],[1,2,54],[1,3,78],[1,4,20],[2,3,12],[2,4,24],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (2,3)=12, w=19\",\"Add (1,4)=20, w=39\",\"Add (2,4)=24, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,26],[0,3,91],[0,4,7],[1,2,54],[1,3,78],[1,4,20],[2,3,12],[2,4,24],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (2,3)=12 Succeeded, w=19\",\"Add (1,4)=20 Succeeded, w=39\",\"Add (2,4)=24 Succeeded, w=63\",\"Add (0,2)=26 Failed, w=63\",\"Add (3,4)=32 Failed, w=63\",\"Add (0,1)=33 Failed, w=63\",\"Add (1,2)=54 Failed, w=63\",\"Add (1,3)=78 Failed, w=63\",\"Add (0,3)=91 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,26],[0,3,91],[0,4,7],[1,2,54],[1,3,78],[1,4,20],[2,3,12],[2,4,24],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(2,3)=12,(1,4)=20,(2,4)=24,(0,2)=26,(3,4)=32,(0,1)=33,(1,2)=54,(1,3)=78,(0,3)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=19\",\"Find(1)=1, Find(4)=0, Add (1,4)=20 Succeeded, w=39\",\"Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=63\",\"Find(0)=2, Find(2)=2, Add (0,2)=26 Failed, w=63\",\"Find(3)=2, Find(4)=2, Add (3,4)=32 Failed, w=63\",\"Find(0)=2, Find(1)=2, Add (0,1)=33 Failed, w=63\",\"Find(1)=2, Find(2)=2, Add (1,2)=54 Failed, w=63\",\"Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=63\",\"Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,33],[0,2,26],[0,3,91],[0,4,7],[1,2,54],[1,3,78],[1,4,20],[2,3,12],[2,4,24],[3,4,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(2,3)=12,(1,4)=20,(2,4)=24,(0,2)=26,(3,4)=32,(0,1)=33,(1,2)=54,(1,3)=78,(0,3)=91]\",\"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: 2, 4: 0}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=20 Succeeded, w=39\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=24 Succeeded, w=63\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 0}, Find(0)=2, Find(2)=2, Add (0,2)=26 Failed, w=63\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=32 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=33 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=54 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=78 Failed, w=63\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=91 Failed, w=63\"],\"Answer\":63}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,66],[1,2,6],[1,3,82],[2,4,58],[3,4,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,66],[1,2,6],[1,3,82],[2,4,58],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,66],[1,2,6],[1,3,82],[2,4,58],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,66],[1,2,6],[1,3,82],[2,4,58],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6, w=6\",\"Add (2,4)=58, w=64\",\"Add (0,3)=66, w=130\",\"Add (1,3)=82, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,66],[1,2,6],[1,3,82],[2,4,58],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=6 Succeeded, w=6\",\"Add (2,4)=58 Succeeded, w=64\",\"Add (0,3)=66 Succeeded, w=130\",\"Add (1,3)=82 Succeeded, w=212\",\"Add (3,4)=94 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,66],[1,2,6],[1,3,82],[2,4,58],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(2,4)=58,(0,3)=66,(1,3)=82,(3,4)=94]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Find(2)=1, Find(4)=4, Add (2,4)=58 Succeeded, w=64\",\"Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=130\",\"Find(1)=1, Find(3)=0, Add (1,3)=82 Succeeded, w=212\",\"Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,66],[1,2,6],[1,3,82],[2,4,58],[3,4,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=6,(2,4)=58,(0,3)=66,(1,3)=82,(3,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=58 Succeeded, w=64\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=66 Succeeded, w=130\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(3)=0, Add (1,3)=82 Succeeded, w=212\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=94 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,28],[0,3,90],[0,4,14],[0,5,52],[1,2,100],[1,3,81],[1,4,47],[1,5,22],[1,6,4],[2,3,49],[2,5,18],[2,6,37],[3,4,94],[3,5,66],[3,6,56],[4,5,91],[4,6,3],[5,6,33]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,28],[0,3,90],[0,4,14],[0,5,52],[1,2,100],[1,3,81],[1,4,47],[1,5,22],[1,6,4],[2,3,49],[2,5,18],[2,6,37],[3,4,94],[3,5,66],[3,6,56],[4,5,91],[4,6,3],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,28],[0,3,90],[0,4,14],[0,5,52],[1,2,100],[1,3,81],[1,4,47],[1,5,22],[1,6,4],[2,3,49],[2,5,18],[2,6,37],[3,4,94],[3,5,66],[3,6,56],[4,5,91],[4,6,3],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (2,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,28],[0,3,90],[0,4,14],[0,5,52],[1,2,100],[1,3,81],[1,4,47],[1,5,22],[1,6,4],[2,3,49],[2,5,18],[2,6,37],[3,4,94],[3,5,66],[3,6,56],[4,5,91],[4,6,3],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3, w=3\",\"Add (1,6)=4, w=7\",\"Add (0,4)=14, w=21\",\"Add (2,5)=18, w=39\",\"Add (1,5)=22, w=61\",\"Add (2,3)=49, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,28],[0,3,90],[0,4,14],[0,5,52],[1,2,100],[1,3,81],[1,4,47],[1,5,22],[1,6,4],[2,3,49],[2,5,18],[2,6,37],[3,4,94],[3,5,66],[3,6,56],[4,5,91],[4,6,3],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=3 Succeeded, w=3\",\"Add (1,6)=4 Succeeded, w=7\",\"Add (0,4)=14 Succeeded, w=21\",\"Add (2,5)=18 Succeeded, w=39\",\"Add (1,5)=22 Succeeded, w=61\",\"Add (0,2)=28 Failed, w=61\",\"Add (5,6)=33 Failed, w=61\",\"Add (2,6)=37 Failed, w=61\",\"Add (1,4)=47 Failed, w=61\",\"Add (2,3)=49 Succeeded, w=110\",\"Add (0,5)=52 Failed, w=110\",\"Add (3,6)=56 Failed, w=110\",\"Add (3,5)=66 Failed, w=110\",\"Add (1,3)=81 Failed, w=110\",\"Add (0,3)=90 Failed, w=110\",\"Add (4,5)=91 Failed, w=110\",\"Add (3,4)=94 Failed, w=110\",\"Add (1,2)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,28],[0,3,90],[0,4,14],[0,5,52],[1,2,100],[1,3,81],[1,4,47],[1,5,22],[1,6,4],[2,3,49],[2,5,18],[2,6,37],[3,4,94],[3,5,66],[3,6,56],[4,5,91],[4,6,3],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(1,6)=4,(0,4)=14,(2,5)=18,(1,5)=22,(0,2)=28,(5,6)=33,(2,6)=37,(1,4)=47,(2,3)=49,(0,5)=52,(3,6)=56,(3,5)=66,(1,3)=81,(0,3)=90,(4,5)=91,(3,4)=94,(1,2)=100]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Find(1)=1, Find(6)=4, Add (1,6)=4 Succeeded, w=7\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=21\",\"Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=39\",\"Find(1)=4, Find(5)=2, Add (1,5)=22 Succeeded, w=61\",\"Find(0)=4, Find(2)=4, Add (0,2)=28 Failed, w=61\",\"Find(5)=4, Find(6)=4, Add (5,6)=33 Failed, w=61\",\"Find(2)=4, Find(6)=4, Add (2,6)=37 Failed, w=61\",\"Find(1)=4, Find(4)=4, Add (1,4)=47 Failed, w=61\",\"Find(2)=4, Find(3)=3, Add (2,3)=49 Succeeded, w=110\",\"Find(0)=4, Find(5)=4, Add (0,5)=52 Failed, w=110\",\"Find(3)=4, Find(6)=4, Add (3,6)=56 Failed, w=110\",\"Find(3)=4, Find(5)=4, Add (3,5)=66 Failed, w=110\",\"Find(1)=4, Find(3)=4, Add (1,3)=81 Failed, w=110\",\"Find(0)=4, Find(3)=4, Add (0,3)=90 Failed, w=110\",\"Find(4)=4, Find(5)=4, Add (4,5)=91 Failed, w=110\",\"Find(3)=4, Find(4)=4, Add (3,4)=94 Failed, w=110\",\"Find(1)=4, Find(2)=4, Add (1,2)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,28],[0,3,90],[0,4,14],[0,5,52],[1,2,100],[1,3,81],[1,4,47],[1,5,22],[1,6,4],[2,3,49],[2,5,18],[2,6,37],[3,4,94],[3,5,66],[3,6,56],[4,5,91],[4,6,3],[5,6,33]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=3,(1,6)=4,(0,4)=14,(2,5)=18,(1,5)=22,(0,2)=28,(5,6)=33,(2,6)=37,(1,4)=47,(2,3)=49,(0,5)=52,(3,6)=56,(3,5)=66,(1,3)=81,(0,3)=90,(4,5)=91,(3,4)=94,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=4 Succeeded, w=7\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=21\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4}, Find(2)=2, Find(5)=5, Add (2,5)=18 Succeeded, w=39\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 2, 6: 4}, Find(1)=4, Find(5)=2, Add (1,5)=22 Succeeded, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 2, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=28 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=33 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=37 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 3, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=47 Failed, w=61\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=3, Add (2,3)=49 Succeeded, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=52 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(6)=4, Add (3,6)=56 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=66 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=81 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=90 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(5)=4, Add (4,5)=91 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=94 Failed, w=110\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=100 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
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